premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not tall or not calm is rich.
Everyone who is calm is brave and vice versa.
If someone is both not rich and not brave then john is not calm or quiet.
If paul is not generous then paul is not calm and vice versa.
If john is curious then someone is rich.
If someone is strong or brave then mary is either n... | Paul is not happy. | entailment | (![X]:((~tall(X)|~calm(X))=>rich(X)))&
(![X]:(calm(X)<=>brave(X)))&
((?[X]:((~rich(X)&~brave(X))))=>((~calm(john)|quiet(john))))&
((~generous(paul))<=>(~calm(paul)))&
((curious(john))=>(?[X]:(rich(X))))&
((?[X]:((strong(X)|brave(X))))<=>((~strong(mary)<~>~curious(mary))))&
((quiet(paul))=>(?[X]:((~strong(X)<~>~rich(X))... | ~happy(paul) | [
"p1",
"p3",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8456531112978016355467328
% SZS output start Proof for 8456531112978016355467328
2. ! [X0] : (calm(X0) <=> brave(X0)) [input p1]
4. ~generous(paul) <=> ~calm(paul) [input p3]
8. ? [X0] : (curious(X0) <~> ~old(X0)) <=> (brave(paul) <~> generous(paul)) [input p7]
11. ! [X0] : ((~curious(X0)... | 0 |
If someone is either strong or curious then alice is patient or not curious.
Everyone who is either strong or creative is not calm or not brave and vice versa.
Everyone who is generous or not brave is rich or not brave and vice versa.
If someone is not calm or generous then someone is not wise or wise and vice versa.
E... | Paul is not creative. | entailment | ((?[X]:((strong(X)<~>curious(X))))=>((patient(alice)|~curious(alice))))&
(![X]:((strong(X)<~>creative(X))<=>(~calm(X)|~brave(X))))&
(![X]:((generous(X)|~brave(X))<=>(rich(X)|~brave(X))))&
((?[X]:((~calm(X)|generous(X))))<=>(?[X]:((~wise(X)|wise(X)))))&
(![X]:((brave(X)&~strong(X))=>(~happy(X)<~>~humble(X))))&
(![X]:(cr... | ~creative(paul) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1908015571353838797130288
% SZS output start Proof for 1908015571353838797130288
17. quiet(paul) & ~creative(paul) [input p16]
24. creative(paul) [input hypothesis]
27. ~creative(paul) [pure predicate removal 17]
128. ~creative(paul) [cnf transformation 27]
137. creative(paul) [cnf transf... | 0 |
If paul is both happy and curious then paul is not humble and vice versa.
If someone is both not patient and not humble then someone is not funny and vice versa.
If someone is both kind and humble then fred is not strong and vice versa.
Everyone who is both not strong and not wise is both not patient and not happy.
If ... | Alice is not curious. | neutral | (((happy(paul)&curious(paul)))<=>(~humble(paul)))&
((?[X]:((~patient(X)&~humble(X))))<=>(?[X]:(~funny(X))))&
((?[X]:((kind(X)&humble(X))))<=>(~strong(fred)))&
(![X]:((~strong(X)&~wise(X))=>(~patient(X)&~happy(X))))&
(((happy(susan)<~>generous(susan)))=>(?[X]:((~rich(X)&generous(X)))))&
((?[X]:((~wise(X)<~>~happy(X))))<... | ~curious(alice) | [] | null | 0 |
If fred is either not kind or rich then fred is both not curious and not generous and vice versa.
If someone is either not strong or not old then someone is both not generous and not rich.
Everyone who is not quiet or not brave is tall and vice versa.
Everyone who is both not tall and curious is either not patient or h... | John is patient. | entailment | (((~kind(fred)<~>rich(fred)))<=>((~curious(fred)&~generous(fred))))&
((?[X]:((~strong(X)<~>~old(X))))=>(?[X]:((~generous(X)&~rich(X)))))&
(![X]:((~quiet(X)|~brave(X))<=>tall(X)))&
(![X]:((~tall(X)&curious(X))<=>(~patient(X)<~>happy(X))))&
(![X]:((~rich(X)&~old(X))<=>old(X)))&
(![X]:((~patient(X)|~calm(X))<=>(~happy(X)<... | patient(john) | [
"p3",
"p4",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3947943789952860732131642
% SZS output start Proof for 3947943789952860732131642
4. ! [X0] : ((curious(X0) & ~tall(X0)) <=> (~patient(X0) <~> happy(X0))) [input p3]
5. ! [X0] : ((~old(X0) & ~rich(X0)) <=> old(X0)) [input p4]
9. ! [X0] : ((rich(X0) <~> happy(X0)) <=> (quiet(X0) | humble(X0... | 0 |
Everyone who is not kind is either not calm or brave and vice versa. Everyone who is not patient is not strong or not wise and vice versa. If paul is either not quiet or not strong then someone is both not kind and happy. Everyone who is not funny or old is either happy or not happy. If someone is not creative or not h... | Fred is not tall. | neutral | (![X]:(~kind(X)<=>(~calm(X)<~>brave(X))))&
(![X]:(~patient(X)<=>(~strong(X)|~wise(X))))&
(((~quiet(paul)<~>~strong(paul)))=>(?[X]:((~kind(X)&happy(X)))))&
(![X]:((~funny(X)|old(X))=>(happy(X)<~>~happy(X))))&
((?[X]:((~creative(X)|~humble(X))))=>((~funny(john)<~>rich(john))))&
((~funny(fred))<=>((~humble(susan)|~wise(su... | ~tall(fred) | [] | null | 0 |
If someone is either happy or not brave then susan is either not generous or generous.
Everyone who is both not wise and tall is either kind or old and vice versa.
If someone is kind then someone is not rich or strong.
If someone is rich or not patient then lucy is brave and vice versa.
Everyone who is both not brave a... | Alice is strong. | neutral | ((?[X]:((happy(X)<~>~brave(X))))=>((~generous(susan)<~>generous(susan))))&
(![X]:((~wise(X)&tall(X))<=>(kind(X)<~>old(X))))&
((?[X]:(kind(X)))=>(?[X]:((~rich(X)|strong(X)))))&
((?[X]:((rich(X)|~patient(X))))<=>(brave(lucy)))&
(![X]:((~brave(X)&~calm(X))<=>(humble(X)&~funny(X))))&
(![X]:(~creative(X)<=>(~happy(X)&quiet(... | strong(alice) | [] | null | 0 |
Everyone who is either not strong or old is both patient and generous and vice versa.
Everyone who is either strong or not rich is generous or brave.
Everyone who is patient is either not strong or quiet and vice versa.
If john is strong or wise then someone is old or not patient and vice versa.
If mary is not wise the... | John is not wise. | neutral | (![X]:((~strong(X)<~>old(X))<=>(patient(X)&generous(X))))&
(![X]:((strong(X)<~>~rich(X))=>(generous(X)|brave(X))))&
(![X]:(patient(X)<=>(~strong(X)<~>quiet(X))))&
(((strong(john)|wise(john)))<=>(?[X]:((old(X)|~patient(X)))))&
((~wise(mary))<=>(~humble(mary)))&
(![X]:(~wise(X)=>(~tall(X)<~>~humble(X))))&
(![X]:((~old(X)... | ~wise(john) | [] | null | 0 |
If someone is quiet or old then mary is not rich or not humble. Everyone who is both not kind and funny is strong or happy and vice versa. If someone is both not tall and not patient then someone is not strong and vice versa. Everyone who is either kind or not brave is not old and vice versa. Everyone who is generous o... | Susan is not funny. | contradiction | ((?[X]:((quiet(X)|old(X))))=>((~rich(mary)|~humble(mary))))&
(![X]:((~kind(X)&funny(X))<=>(strong(X)|happy(X))))&
((?[X]:((~tall(X)&~patient(X))))<=>(?[X]:(~strong(X))))&
(![X]:((kind(X)<~>~brave(X))<=>~old(X)))&
(![X]:((generous(X)|~generous(X))=>~rich(X)))&
(((patient(susan)&happy(susan)))<=>(~rich(susan)))&
(![X]:((... | ~funny(susan) | [
"p1",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5740051530623145715634413
% SZS output start Proof for 5740051530623145715634413
2. ! [X0] : ((funny(X0) & ~kind(X0)) <=> (happy(X0) | strong(X0))) [input p1]
5. ! [X0] : ((~generous(X0) | generous(X0)) => ~rich(X0)) [input p4]
6. (happy(susan) & patient(susan)) <=> ~rich(susan) [input p5... | 0 |
Everyone who is both not patient and not creative is not rich and vice versa.
If lucy is either happy or generous then someone is patient or not curious.
Everyone who is strong or tall is old.
If lucy is either not funny or kind then fred is calm and vice versa.
Everyone who is both calm and happy is either not old or ... | John is patient. | entailment | (![X]:((~patient(X)&~creative(X))<=>~rich(X)))&
(((happy(lucy)<~>generous(lucy)))=>(?[X]:((patient(X)|~curious(X)))))&
(![X]:((strong(X)|tall(X))=>old(X)))&
(((~funny(lucy)<~>kind(lucy)))<=>(calm(fred)))&
(![X]:((calm(X)&happy(X))=>(~old(X)<~>~quiet(X))))&
(![X]:((~patient(X)|tall(X))<=>(~old(X)<~>~rich(X))))&
(![X]:(~... | patient(john) | [
"p2",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2619383201762522962291871
% SZS output start Proof for 2619383201762522962291871
3. ! [X0] : ((tall(X0) | strong(X0)) => old(X0)) [input p2]
7. ! [X0] : (~old(X0) <=> strong(X0)) [input p6]
12. (creative(john) | ~patient(john)) <=> (curious(mary) & strong(mary)) [input p11]
22. ~patient(j... | 0 |
If john is both creative and not generous then lucy is either happy or not generous and vice versa.
If someone is both rich and not generous then someone is not strong.
Everyone who is not wise or rich is either not old or not brave and vice versa.
If someone is both not brave and tall then lucy is rich or not strong.
... | Alice is not old. | contradiction | (((creative(john)&~generous(john)))<=>((happy(lucy)<~>~generous(lucy))))&
((?[X]:((rich(X)&~generous(X))))=>(?[X]:(~strong(X))))&
(![X]:((~wise(X)|rich(X))<=>(~old(X)<~>~brave(X))))&
((?[X]:((~brave(X)&tall(X))))=>((rich(lucy)|~strong(lucy))))&
(![X]:(~curious(X)=>(~brave(X)|~kind(X))))&
(![X]:((calm(X)|tall(X))<=>(fun... | ~old(alice) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4526052553232261225909949
% SZS output start Proof for 4526052553232261225909949
21. old(alice) & ~creative(alice) [input p20]
25. ~old(alice) [input hypothesis]
153. old(alice) [cnf transformation 21]
159. ~old(alice) [cnf transformation 25]
317. $false [subsumption resolution 159,153]
%... | 0 |
If someone is either kind or patient then someone is creative and vice versa. If someone is both strong and not strong then someone is not humble or rich and vice versa. Everyone who is old is humble. If someone is not quiet or not humble then someone is not wise. Everyone who is happy or not quiet is both calm and not... | Paul is not humble. | contradiction | ((?[X]:((kind(X)<~>patient(X))))<=>(?[X]:(creative(X))))&
((?[X]:((strong(X)&~strong(X))))<=>(?[X]:((~humble(X)|rich(X)))))&
(![X]:(old(X)=>humble(X)))&
((?[X]:((~quiet(X)|~humble(X))))=>(?[X]:(~wise(X))))&
(![X]:((happy(X)|~quiet(X))<=>(calm(X)&~rich(X))))&
(![X]:((wise(X)<~>~humble(X))=>generous(X)))&
(![X]:((generou... | ~humble(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4746370401912249609118292
% SZS output start Proof for 4746370401912249609118292
2. ? [X0] : (~strong(X0) & strong(X0)) <=> ? [X0] : (rich(X0) | ~humble(X0)) [input p1]
24. ~humble(paul) [input hypothesis]
26. ? [X0] : (~strong(X0) & strong(X0)) <=> ? [X1] : (rich(X1) | ~humble(X1)) [rect... | 0 |
Everyone who is tall or wise is not creative.
Everyone who is humble is generous or kind and vice versa.
Everyone who is both patient and not old is both not rich and funny and vice versa.
Everyone who is not patient is both quiet and calm.
Everyone who is either old or not old is happy or curious and vice versa.
Every... | John is tall. | contradiction | (![X]:((tall(X)|wise(X))=>~creative(X)))&
(![X]:(humble(X)<=>(generous(X)|kind(X))))&
(![X]:((patient(X)&~old(X))<=>(~rich(X)&funny(X))))&
(![X]:(~patient(X)=>(quiet(X)&calm(X))))&
(![X]:((old(X)<~>~old(X))<=>(happy(X)|curious(X))))&
(![X]:(strong(X)<=>(patient(X)<~>~generous(X))))&
(![X]:((kind(X)<~>patient(X))=>(~gen... | tall(john) | [
"p0",
"p1",
"p9",
"p10",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8088461791697833137784078
% SZS output start Proof for 8088461791697833137784078
1. ! [X0] : ((wise(X0) | tall(X0)) => ~creative(X0)) [input p0]
2. ! [X0] : (humble(X0) <=> (kind(X0) | generous(X0))) [input p1]
10. ! [X0] : (~humble(X0) <=> (humble(X0) <~> ~strong(X0))) [input p9]
11. ! [... | 0 |
If mary is both not brave and quiet then someone is tall and vice versa.
Everyone who is both kind and not quiet is old.
Everyone who is both not patient and wise is either not rich or wise and vice versa.
If someone is not brave or not kind then susan is not calm and vice versa.
Everyone who is not funny or funny is e... | John is strong. | entailment | (((~brave(mary)&quiet(mary)))<=>(?[X]:(tall(X))))&
(![X]:((kind(X)&~quiet(X))=>old(X)))&
(![X]:((~patient(X)&wise(X))<=>(~rich(X)<~>wise(X))))&
((?[X]:((~brave(X)|~kind(X))))<=>(~calm(susan)))&
(![X]:((~funny(X)|funny(X))<=>(~calm(X)<~>~tall(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(~strong(X))))&
(![X]:((wise(X)<~>~wise(X))=... | strong(john) | [
"p4",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5932546254400247465576699
% SZS output start Proof for 5932546254400247465576699
5. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~calm(X0) <~> ~tall(X0))) [input p4]
7. ! [X0] : ((wise(X0) <~> ~wise(X0)) => ~tall(X0)) [input p6]
12. (patient(john) & strong(john)) <=> ? [X0] : calm(X0) [input p... | 0 |
Everyone who is both strong and not patient is brave or not funny. Everyone who is both not old and not creative is calm or tall and vice versa. If someone is either wise or happy then susan is not creative or not patient and vice versa. If someone is either not calm or quiet then someone is either not curious or brave... | Fred is wise. | contradiction | (![X]:((strong(X)&~patient(X))=>(brave(X)|~funny(X))))&
(![X]:((~old(X)&~creative(X))<=>(calm(X)|tall(X))))&
((?[X]:((wise(X)<~>happy(X))))<=>((~creative(susan)|~patient(susan))))&
((?[X]:((~calm(X)<~>quiet(X))))<=>(?[X]:((~curious(X)<~>brave(X)))))&
(![X]:((~patient(X)|~quiet(X))=>(humble(X)&~patient(X))))&
(((brave(j... | wise(fred) | [
"p1",
"p6",
"p7",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4365995980015186641951585
% SZS output start Proof for 4365995980015186641951585
2. ! [X0] : ((~creative(X0) & ~old(X0)) <=> (tall(X0) | calm(X0))) [input p1]
7. ! [X0] : ((~strong(X0) | happy(X0)) <=> calm(X0)) [input p6]
8. ! [X0] : (~rich(X0) <=> (~quiet(X0) <~> ~wise(X0))) [input p7]
... | 0 |
Everyone who is both patient and not generous is both quiet and not happy and vice versa.
Everyone who is both not patient and not kind is not strong and vice versa.
Everyone who is patient or rich is curious.
If paul is either kind or not tall then someone is both humble and not curious.
Everyone who is either not pat... | Fred is humble. | contradiction | (![X]:((patient(X)&~generous(X))<=>(quiet(X)&~happy(X))))&
(![X]:((~patient(X)&~kind(X))<=>~strong(X)))&
(![X]:((patient(X)|rich(X))=>curious(X)))&
(((kind(paul)<~>~tall(paul)))=>(?[X]:((humble(X)&~curious(X)))))&
(![X]:((~patient(X)<~>quiet(X))<=>(wise(X)|humble(X))))&
(![X]:(~strong(X)=>~old(X)))&
(![X]:((strong(X)<~... | humble(fred) | [
"p0",
"p4",
"p5",
"p7",
"p9",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5349490401955124590334048
% SZS output start Proof for 5349490401955124590334048
1. ! [X0] : ((~generous(X0) & patient(X0)) <=> (~happy(X0) & quiet(X0))) [input p0]
5. ! [X0] : ((~patient(X0) <~> quiet(X0)) <=> (humble(X0) | wise(X0))) [input p4]
6. ! [X0] : (~strong(X0) => ~old(X0)) [inp... | 0 |
If someone is either not kind or not strong then someone is curious or happy.
If fred is either not curious or tall then someone is both funny and not humble and vice versa.
Everyone who is humble is generous.
Everyone who is either quiet or not patient is calm or not creative and vice versa.
If paul is not happy then ... | Mary is not kind. | neutral | ((?[X]:((~kind(X)<~>~strong(X))))=>(?[X]:((curious(X)|happy(X)))))&
(((~curious(fred)<~>tall(fred)))<=>(?[X]:((funny(X)&~humble(X)))))&
(![X]:(humble(X)=>generous(X)))&
(![X]:((quiet(X)<~>~patient(X))<=>(calm(X)|~creative(X))))&
((~happy(paul))<=>((kind(fred)<~>~creative(fred))))&
(![X]:((funny(X)|~wise(X))=>(~curious(... | ~kind(mary) | [] | null | 0 |
Everyone who is either generous or not humble is either patient or quiet. Everyone who is not tall is patient or wise. Everyone who is both not tall and calm is not curious or not generous and vice versa. Everyone who is both strong and not calm is either humble or brave and vice versa. Everyone who is not tall or stro... | Fred is not happy. | contradiction | (![X]:((generous(X)<~>~humble(X))=>(patient(X)<~>quiet(X))))&
(![X]:(~tall(X)=>(patient(X)|wise(X))))&
(![X]:((~tall(X)&calm(X))<=>(~curious(X)|~generous(X))))&
(![X]:((strong(X)&~calm(X))<=>(humble(X)<~>brave(X))))&
(![X]:((~tall(X)|strong(X))<=>(~curious(X)|~brave(X))))&
((~kind(fred))<=>(?[X]:(humble(X))))&
((?[X]:(... | ~happy(fred) | [
"p2",
"p6",
"p7",
"p8",
"p11",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8332306048763098878881248
% SZS output start Proof for 8332306048763098878881248
3. ! [X0] : ((calm(X0) & ~tall(X0)) <=> (~generous(X0) | ~curious(X0))) [input p2]
7. ? [X0] : (happy(X0) | wise(X0)) => funny(fred) [input p6]
8. ! [X0] : ((~happy(X0) <~> ~funny(X0)) => (curious(X0) & ~gene... | 0 |
Everyone who is both generous and calm is either not rich or brave and vice versa.
Everyone who is not curious or not humble is either not creative or not calm and vice versa.
If someone is not old then susan is not calm and vice versa.
Everyone who is strong or not creative is not curious.
Everyone who is either not r... | Mary is rich. | contradiction | (![X]:((generous(X)&calm(X))<=>(~rich(X)<~>brave(X))))&
(![X]:((~curious(X)|~humble(X))<=>(~creative(X)<~>~calm(X))))&
((?[X]:(~old(X)))<=>(~calm(susan)))&
(![X]:((strong(X)|~creative(X))=>~curious(X)))&
(![X]:((~rich(X)<~>brave(X))<=>(humble(X)|old(X))))&
(![X]:((~rich(X)&~kind(X))<=>(generous(X)|~funny(X))))&
((?[X]:... | rich(mary) | [
"p0",
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3137900199583298396610372
% SZS output start Proof for 3137900199583298396610372
1. ! [X0] : ((calm(X0) & generous(X0)) <=> (~rich(X0) <~> brave(X0))) [input p0]
5. ! [X0] : ((~rich(X0) <~> brave(X0)) <=> (old(X0) | humble(X0))) [input p4]
6. ! [X0] : ((~kind(X0) & ~rich(X0)) <=> (~funny(... | 0 |
If someone is not patient or tall then fred is curious or not curious and vice versa.
If lucy is both wise and curious then paul is either funny or tall and vice versa.
If paul is not tall or not kind then mary is tall.
Everyone who is either not calm or not old is both not humble and humble and vice versa.
Everyone wh... | Paul is tall. | neutral | ((?[X]:((~patient(X)|tall(X))))<=>((curious(fred)|~curious(fred))))&
(((wise(lucy)&curious(lucy)))<=>((funny(paul)<~>tall(paul))))&
(((~tall(paul)|~kind(paul)))=>(tall(mary)))&
(![X]:((~calm(X)<~>~old(X))<=>(~humble(X)&humble(X))))&
(![X]:(funny(X)<=>(humble(X)&patient(X))))&
(((~quiet(alice)|~happy(alice)))<=>((~funny... | tall(paul) | [] | null | 0 |
Everyone who is both not patient and strong is both not kind and kind.
If alice is kind then john is both not generous and kind.
If paul is happy or not strong then someone is not generous.
Everyone who is both not kind and patient is not rich and vice versa.
Everyone who is not quiet or not patient is both quiet and h... | Paul is wise. | neutral | (![X]:((~patient(X)&strong(X))=>(~kind(X)&kind(X))))&
((kind(alice))=>((~generous(john)&kind(john))))&
(((happy(paul)|~strong(paul)))=>(?[X]:(~generous(X))))&
(![X]:((~kind(X)&patient(X))<=>~rich(X)))&
(![X]:((~quiet(X)|~patient(X))<=>(quiet(X)&humble(X))))&
((generous(lucy))<=>((patient(mary)|wise(mary))))&
(((patient... | wise(paul) | [] | null | 0 |
If john is not curious then someone is not curious or calm and vice versa. Everyone who is both not wise and tall is humble or not humble and vice versa. If lucy is both quiet and not quiet then fred is not humble. Everyone who is either not funny or curious is either not funny or creative and vice versa. Everyone who ... | Lucy is old. | contradiction | ((~curious(john))<=>(?[X]:((~curious(X)|calm(X)))))&
(![X]:((~wise(X)&tall(X))<=>(humble(X)|~humble(X))))&
(((quiet(lucy)&~quiet(lucy)))=>(~humble(fred)))&
(![X]:((~funny(X)<~>curious(X))<=>(~funny(X)<~>creative(X))))&
(![X]:((wise(X)&~brave(X))<=>(old(X)|~rich(X))))&
(((generous(mary)|strong(mary)))<=>((calm(alice)&ki... | old(lucy) | [
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4203977153167411180693130
% SZS output start Proof for 4203977153167411180693130
2. ! [X0] : ((tall(X0) & ~wise(X0)) <=> (~humble(X0) | humble(X0))) [input p1]
5. ! [X0] : ((~brave(X0) & wise(X0)) <=> (~rich(X0) | old(X0))) [input p4]
20. old(lucy) [input hypothesis]
32. ! [X0] : (((tall(... | 0 |
Everyone who is either not humble or creative is either not kind or not strong.
Everyone who is not kind is not funny or not humble and vice versa.
If someone is either not rich or not wise then lucy is not wise and vice versa.
Everyone who is not tall or happy is not old or not humble and vice versa.
Everyone who is b... | Paul is not patient. | entailment | (![X]:((~humble(X)<~>creative(X))=>(~kind(X)<~>~strong(X))))&
(![X]:(~kind(X)<=>(~funny(X)|~humble(X))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>(~wise(lucy)))&
(![X]:((~tall(X)|happy(X))<=>(~old(X)|~humble(X))))&
(![X]:((~curious(X)&happy(X))<=>(~rich(X)|~funny(X))))&
(![X]:((~wise(X)&~curious(X))=>quiet(X)))&
(![X]:((~cal... | ~patient(paul) | [
"p4",
"p7",
"p8",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6170770866836498446737551
% SZS output start Proof for 6170770866836498446737551
5. ! [X0] : ((happy(X0) & ~curious(X0)) <=> (~funny(X0) | ~rich(X0))) [input p4]
8. ! [X0] : ((~rich(X0) | tall(X0)) => kind(X0)) [input p7]
9. ! [X0] : ((~wise(X0) | happy(X0)) => (funny(X0) & ~rich(X0))) [i... | 0 |
If john is either not rich or not curious then alice is not strong or not humble and vice versa. If someone is either not old or brave then someone is not quiet or rich. If someone is creative or kind then someone is both not rich and not creative. If fred is either humble or funny then paul is brave or funny. Everyone... | Fred is curious. | contradiction | (((~rich(john)<~>~curious(john)))<=>((~strong(alice)|~humble(alice))))&
((?[X]:((~old(X)<~>brave(X))))=>(?[X]:((~quiet(X)|rich(X)))))&
((?[X]:((creative(X)|kind(X))))=>(?[X]:((~rich(X)&~creative(X)))))&
(((humble(fred)<~>funny(fred)))=>((brave(paul)|funny(paul))))&
(![X]:((~funny(X)<~>~generous(X))<=>(~humble(X)&strong... | curious(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 897354897083316952621935
% SZS output start Proof for 897354897083316952621935
7. ! [X0] : ((~rich(X0) | ~curious(X0)) <=> rich(X0)) [input p6]
23. curious(fred) [input hypothesis]
47. ! [X0] : (((~rich(X0) | ~curious(X0)) | ~rich(X0)) & (rich(X0) | (rich(X0) & curious(X0)))) [nnf transfo... | 0 |
Everyone who is quiet is tall or patient.
If someone is kind then lucy is strong or not tall.
Everyone who is either strong or tall is both wise and not rich.
If someone is not kind or strong then alice is either not strong or strong and vice versa.
Everyone who is not funny or not calm is both creative and calm and vi... | John is patient. | neutral | (![X]:(quiet(X)=>(tall(X)|patient(X))))&
((?[X]:(kind(X)))=>((strong(lucy)|~tall(lucy))))&
(![X]:((strong(X)<~>tall(X))=>(wise(X)&~rich(X))))&
((?[X]:((~kind(X)|strong(X))))<=>((~strong(alice)<~>strong(alice))))&
(![X]:((~funny(X)|~calm(X))<=>(creative(X)&calm(X))))&
(![X]:((~strong(X)<~>strong(X))=>(~generous(X)<~>fun... | patient(john) | [] | null | 0 |
If fred is either curious or not old then paul is either quiet or rich and vice versa.
If someone is generous or not funny then john is not strong.
Everyone who is not kind is not quiet and vice versa.
Everyone who is not wise or not calm is either not generous or not patient.
If fred is either patient or old then paul... | Mary is creative. | neutral | (((curious(fred)<~>~old(fred)))<=>((quiet(paul)<~>rich(paul))))&
((?[X]:((generous(X)|~funny(X))))=>(~strong(john)))&
(![X]:(~kind(X)<=>~quiet(X)))&
(![X]:((~wise(X)|~calm(X))=>(~generous(X)<~>~patient(X))))&
(((patient(fred)<~>old(fred)))<=>(~funny(paul)))&
((?[X]:((~quiet(X)&~humble(X))))=>((~generous(john)&~funny(jo... | creative(mary) | [] | null | 0 |
If alice is both rich and curious then someone is not rich or not strong. Everyone who is either not creative or humble is quiet or not brave. If someone is either funny or tall then susan is both old and wise and vice versa. If alice is not old then john is humble or not brave. Everyone who is either not tall or gener... | Alice is not creative. | entailment | (((rich(alice)&curious(alice)))=>(?[X]:((~rich(X)|~strong(X)))))&
(![X]:((~creative(X)<~>humble(X))=>(quiet(X)|~brave(X))))&
((?[X]:((funny(X)<~>tall(X))))<=>((old(susan)&wise(susan))))&
((~old(alice))=>((humble(john)|~brave(john))))&
(![X]:((~tall(X)<~>generous(X))=>happy(X)))&
(((~old(alice)<~>tall(alice)))=>((~creat... | ~creative(alice) | [
"p4",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1631456382351613888150851
% SZS output start Proof for 1631456382351613888150851
5. ! [X0] : ((~tall(X0) <~> generous(X0)) => happy(X0)) [input p4]
12. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (calm(X0) | ~happy(X0))) [input p11]
15. ! [X0] : ((creative(X0) <~> generous(X0)) <=> (~creative... | 0 |
Everyone who is not rich or strong is not generous or generous. If someone is either wise or not humble then fred is either not rich or not strong and vice versa. Everyone who is both humble and tall is either humble or not brave. Everyone who is generous is either not creative or not patient and vice versa. If john is... | Fred is not strong. | entailment | (![X]:((~rich(X)|strong(X))=>(~generous(X)|generous(X))))&
((?[X]:((wise(X)<~>~humble(X))))<=>((~rich(fred)<~>~strong(fred))))&
(![X]:((humble(X)&tall(X))=>(humble(X)<~>~brave(X))))&
(![X]:(generous(X)<=>(~creative(X)<~>~patient(X))))&
(((~tall(john)|~generous(john)))=>(?[X]:(creative(X))))&
((?[X]:((~old(X)&rich(X))))... | ~strong(fred) | [
"p1",
"p6",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1617155759077506597466589
% SZS output start Proof for 1617155759077506597466589
2. ? [X0] : (wise(X0) <~> ~humble(X0)) <=> (~rich(fred) <~> ~strong(fred)) [input p1]
7. ! [X0] : ((~creative(X0) & brave(X0)) <=> (~rich(X0) | ~brave(X0))) [input p6]
12. ! [X0] : ((~brave(X0) & ~patient(X0)... | 0 |
If fred is either patient or not happy then susan is either not funny or not creative.
Everyone who is strong is both old and not strong and vice versa.
Everyone who is either patient or tall is not quiet or humble and vice versa.
Everyone who is not tall or old is not generous or not funny and vice versa.
Everyone who... | Lucy is not generous. | contradiction | (((patient(fred)<~>~happy(fred)))=>((~funny(susan)<~>~creative(susan))))&
(![X]:(strong(X)<=>(old(X)&~strong(X))))&
(![X]:((patient(X)<~>tall(X))<=>(~quiet(X)|humble(X))))&
(![X]:((~tall(X)|old(X))<=>(~generous(X)|~funny(X))))&
(![X]:((creative(X)|~rich(X))<=>creative(X)))&
((?[X]:(~rich(X)))<=>(?[X]:((creative(X)&~ric... | ~generous(lucy) | [
"p1",
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4939555114921086006730720
% SZS output start Proof for 4939555114921086006730720
2. ! [X0] : (strong(X0) <=> (~strong(X0) & old(X0))) [input p1]
4. ! [X0] : ((old(X0) | ~tall(X0)) <=> (~funny(X0) | ~generous(X0))) [input p3]
10. ! [X0] : ((old(X0) <~> ~old(X0)) <=> tall(X0)) [input p9]
23... | 0 |
If someone is either not quiet or creative then john is either tall or calm. Everyone who is either happy or strong is not calm. Everyone who is quiet is either not tall or not happy and vice versa. Everyone who is either tall or kind is tall and vice versa. If someone is either not strong or not curious then john is c... | Alice is not patient. | contradiction | ((?[X]:((~quiet(X)<~>creative(X))))=>((tall(john)<~>calm(john))))&
(![X]:((happy(X)<~>strong(X))=>~calm(X)))&
(![X]:(quiet(X)<=>(~tall(X)<~>~happy(X))))&
(![X]:((tall(X)<~>kind(X))<=>tall(X)))&
((?[X]:((~strong(X)<~>~curious(X))))=>((creative(john)|wise(john))))&
(![X]:((generous(X)&~humble(X))<=>rich(X)))&
((?[X]:((~f... | ~patient(alice) | [
"p3",
"p5",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3634643089489520217348187
% SZS output start Proof for 3634643089489520217348187
4. ! [X0] : ((tall(X0) <~> kind(X0)) <=> tall(X0)) [input p3]
6. ! [X0] : ((~humble(X0) & generous(X0)) <=> rich(X0)) [input p5]
13. ! [X0] : ((creative(X0) | ~creative(X0)) => (kind(X0) | ~wise(X0))) [input ... | 0 |
If someone is brave or wise then lucy is either calm or quiet and vice versa.
Everyone who is not strong or happy is either not kind or kind and vice versa.
Everyone who is either not brave or not tall is patient and vice versa.
Everyone who is not rich is quiet and vice versa.
Everyone who is strong or old is not happ... | Paul is brave. | neutral | ((?[X]:((brave(X)|wise(X))))<=>((calm(lucy)<~>quiet(lucy))))&
(![X]:((~strong(X)|happy(X))<=>(~kind(X)<~>kind(X))))&
(![X]:((~brave(X)<~>~tall(X))<=>patient(X)))&
(![X]:(~rich(X)<=>quiet(X)))&
(![X]:((strong(X)|old(X))=>~happy(X)))&
(![X]:((~quiet(X)|wise(X))<=>(generous(X)|brave(X))))&
((old(fred))<=>(?[X]:((~patient(... | brave(paul) | [] | null | 0 |
If someone is both not creative and tall then someone is not old or brave and vice versa. Everyone who is brave is both creative and not happy. Everyone who is happy is both happy and not creative and vice versa. If susan is either generous or strong then susan is either not curious or not funny. If paul is either not ... | Susan is not humble. | neutral | ((?[X]:((~creative(X)&tall(X))))<=>(?[X]:((~old(X)|brave(X)))))&
(![X]:(brave(X)=>(creative(X)&~happy(X))))&
(![X]:(happy(X)<=>(happy(X)&~creative(X))))&
(((generous(susan)<~>strong(susan)))=>((~curious(susan)<~>~funny(susan))))&
(((~tall(paul)<~>~kind(paul)))<=>(?[X]:((quiet(X)|~rich(X)))))&
(![X]:(~rich(X)=>(patient(... | ~humble(susan) | [] | null | 0 |
If paul is not funny then susan is either patient or not patient.
Everyone who is strong is not curious or not wise and vice versa.
Everyone who is funny or old is either not quiet or rich and vice versa.
Everyone who is either rich or funny is either not tall or not quiet and vice versa.
Everyone who is kind is funny ... | Susan is strong. | entailment | ((~funny(paul))=>((patient(susan)<~>~patient(susan))))&
(![X]:(strong(X)<=>(~curious(X)|~wise(X))))&
(![X]:((funny(X)|old(X))<=>(~quiet(X)<~>rich(X))))&
(![X]:((rich(X)<~>funny(X))<=>(~tall(X)<~>~quiet(X))))&
(![X]:(kind(X)=>(funny(X)|wise(X))))&
(![X]:((humble(X)|~calm(X))=>(~quiet(X)&strong(X))))&
((?[X]:(patient(X))... | strong(susan) | [
"p2",
"p3",
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4962149738056725053194534
% SZS output start Proof for 4962149738056725053194534
3. ! [X0] : ((old(X0) | funny(X0)) <=> (~quiet(X0) <~> rich(X0))) [input p2]
4. ! [X0] : ((rich(X0) <~> funny(X0)) <=> (~tall(X0) <~> ~quiet(X0))) [input p3]
6. ! [X0] : ((~calm(X0) | humble(X0)) => (strong(X... | 0 |
Everyone who is not brave or not humble is both generous and not humble and vice versa.
If alice is not funny or strong then someone is both not calm and not rich.
If someone is both calm and not creative then someone is old or not humble and vice versa.
Everyone who is either not patient or not creative is both not ca... | Lucy is tall. | entailment | (![X]:((~brave(X)|~humble(X))<=>(generous(X)&~humble(X))))&
(((~funny(alice)|strong(alice)))=>(?[X]:((~calm(X)&~rich(X)))))&
((?[X]:((calm(X)&~creative(X))))<=>(?[X]:((old(X)|~humble(X)))))&
(![X]:((~patient(X)<~>~creative(X))<=>(~calm(X)&~rich(X))))&
(![X]:((~kind(X)<~>~humble(X))=>(~old(X)<~>~tall(X))))&
(![X]:((calm... | tall(lucy) | [
"p0",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6759702023572549921592415
% SZS output start Proof for 6759702023572549921592415
1. ! [X0] : ((~humble(X0) | ~brave(X0)) <=> (~humble(X0) & generous(X0))) [input p0]
8. ! [X0] : ((~brave(X0) <~> ~generous(X0)) <=> (patient(X0) & happy(X0))) [input p7]
12. ! [X0] : ((tall(X0) & generous(X0... | 0 |
Everyone who is brave is either funny or strong.
Everyone who is not quiet is both patient and not brave and vice versa.
Everyone who is not tall is not calm.
Everyone who is not humble is curious and vice versa.
If john is not strong then someone is either calm or not humble and vice versa.
Everyone who is both patien... | Fred is kind. | entailment | (![X]:(brave(X)=>(funny(X)<~>strong(X))))&
(![X]:(~quiet(X)<=>(patient(X)&~brave(X))))&
(![X]:(~tall(X)=>~calm(X)))&
(![X]:(~humble(X)<=>curious(X)))&
((~strong(john))<=>(?[X]:((calm(X)<~>~humble(X)))))&
(![X]:((patient(X)&~tall(X))=>(~funny(X)&strong(X))))&
(![X]:((~patient(X)&happy(X))<=>funny(X)))&
((?[X]:((~strong(... | kind(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2492880537946770549718898
% SZS output start Proof for 2492880537946770549718898
12. ! [X0] : (~tall(X0) <=> (tall(X0) | kind(X0))) [input p11]
22. ~kind(fred) [input hypothesis]
53. ! [X0] : ((~tall(X0) | (~tall(X0) & ~kind(X0))) & ((tall(X0) | kind(X0)) | tall(X0))) [nnf transformation ... | 0 |
If someone is either not happy or patient then someone is not quiet and vice versa.
Everyone who is both not old and tall is not generous or calm and vice versa.
If paul is not quiet then someone is brave or tall.
If someone is quiet or humble then someone is not wise or kind.
If someone is not old or kind then john is... | Alice is curious. | neutral | ((?[X]:((~happy(X)<~>patient(X))))<=>(?[X]:(~quiet(X))))&
(![X]:((~old(X)&tall(X))<=>(~generous(X)|calm(X))))&
((~quiet(paul))=>(?[X]:((brave(X)|tall(X)))))&
((?[X]:((quiet(X)|humble(X))))=>(?[X]:((~wise(X)|kind(X)))))&
((?[X]:((~old(X)|kind(X))))=>((~patient(john)&happy(john))))&
(![X]:(rich(X)=>(~tall(X)|tall(X))))&
... | curious(alice) | [] | null | 0 |
Everyone who is strong is not humble or funny.
Everyone who is both creative and strong is curious and vice versa.
Everyone who is either wise or not old is generous or not patient and vice versa.
If alice is not quiet then paul is either not rich or happy and vice versa.
Everyone who is not humble is either not genero... | Fred is not curious. | neutral | (![X]:(strong(X)=>(~humble(X)|funny(X))))&
(![X]:((creative(X)&strong(X))<=>curious(X)))&
(![X]:((wise(X)<~>~old(X))<=>(generous(X)|~patient(X))))&
((~quiet(alice))<=>((~rich(paul)<~>happy(paul))))&
(![X]:(~humble(X)<=>(~generous(X)<~>~patient(X))))&
((?[X]:((~strong(X)<~>tall(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~t... | ~curious(fred) | [] | null | 0 |
Everyone who is not funny or old is creative or not funny and vice versa.
Everyone who is both not humble and not wise is not curious or not brave.
Everyone who is happy or calm is not quiet.
Everyone who is not kind or not quiet is quiet and vice versa.
Everyone who is both not rich and strong is either not calm or no... | Paul is creative. | neutral | (![X]:((~funny(X)|old(X))<=>(creative(X)|~funny(X))))&
(![X]:((~humble(X)&~wise(X))=>(~curious(X)|~brave(X))))&
(![X]:((happy(X)|calm(X))=>~quiet(X)))&
(![X]:((~kind(X)|~quiet(X))<=>quiet(X)))&
(![X]:((~rich(X)&strong(X))<=>(~calm(X)<~>~patient(X))))&
(((patient(mary)|~old(mary)))=>((~curious(susan)|rich(susan))))&
(![... | creative(paul) | [] | null | 0 |
If lucy is not tall or strong then someone is not old or curious.
Everyone who is both not generous and not tall is both not quiet and wise and vice versa.
Everyone who is not creative or not funny is creative or not quiet.
Everyone who is calm is both old and creative and vice versa.
Everyone who is either calm or pat... | Lucy is not kind. | neutral | (((~tall(lucy)|strong(lucy)))=>(?[X]:((~old(X)|curious(X)))))&
(![X]:((~generous(X)&~tall(X))<=>(~quiet(X)&wise(X))))&
(![X]:((~creative(X)|~funny(X))=>(creative(X)|~quiet(X))))&
(![X]:(calm(X)<=>(old(X)&creative(X))))&
(![X]:((calm(X)<~>patient(X))<=>curious(X)))&
(![X]:(creative(X)=>(tall(X)<~>~rich(X))))&
(![X]:((~h... | ~kind(lucy) | [] | null | 0 |
Everyone who is not generous or not funny is either not calm or rich and vice versa.
If mary is either patient or quiet then someone is both not generous and tall and vice versa.
Everyone who is not curious or not funny is either not old or not quiet.
If someone is either calm or not brave then someone is both not calm... | Susan is not happy. | neutral | (![X]:((~generous(X)|~funny(X))<=>(~calm(X)<~>rich(X))))&
(((patient(mary)<~>quiet(mary)))<=>(?[X]:((~generous(X)&tall(X)))))&
(![X]:((~curious(X)|~funny(X))=>(~old(X)<~>~quiet(X))))&
((?[X]:((calm(X)<~>~brave(X))))<=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:((quiet(X)&~kind(X))=>(~creative(X)&kind(X))))&
((?[X]:(~tall(X)... | ~happy(susan) | [] | null | 0 |
Everyone who is either not kind or not humble is both not patient and funny.
Everyone who is either not generous or funny is either not brave or not quiet.
Everyone who is not quiet is not brave or not rich and vice versa.
If someone is not quiet then paul is brave and vice versa.
Everyone who is humble or not brave is... | Paul is not old. | neutral | (![X]:((~kind(X)<~>~humble(X))=>(~patient(X)&funny(X))))&
(![X]:((~generous(X)<~>funny(X))=>(~brave(X)<~>~quiet(X))))&
(![X]:(~quiet(X)<=>(~brave(X)|~rich(X))))&
((?[X]:(~quiet(X)))<=>(brave(paul)))&
(![X]:((humble(X)|~brave(X))=>(~funny(X)|~happy(X))))&
((?[X]:((~humble(X)<~>~kind(X))))<=>((humble(alice)&~quiet(alice)... | ~old(paul) | [] | null | 0 |
Everyone who is either tall or not funny is both not patient and not funny and vice versa.
Everyone who is either calm or curious is both not kind and not happy.
If someone is not kind or calm then mary is not wise or not funny and vice versa.
Everyone who is either not curious or wise is both not kind and not tall.
Ev... | Mary is not quiet. | entailment | (![X]:((tall(X)<~>~funny(X))<=>(~patient(X)&~funny(X))))&
(![X]:((calm(X)<~>curious(X))=>(~kind(X)&~happy(X))))&
((?[X]:((~kind(X)|calm(X))))<=>((~wise(mary)|~funny(mary))))&
(![X]:((~curious(X)<~>wise(X))=>(~kind(X)&~tall(X))))&
(![X]:((~rich(X)&happy(X))<=>(~rich(X)<~>~brave(X))))&
(![X]:((patient(X)<~>~funny(X))<=>~... | ~quiet(mary) | [
"p5",
"p6",
"p7",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2091925500130895474180660
% SZS output start Proof for 2091925500130895474180660
6. ! [X0] : ((patient(X0) <~> ~funny(X0)) <=> ~calm(X0)) [input p5]
7. ! [X0] : (~calm(X0) => (~happy(X0) & creative(X0))) [input p6]
8. ! [X0] : ((calm(X0) & happy(X0)) => (strong(X0) & ~quiet(X0))) [input p... | 0 |
Everyone who is either patient or brave is either not brave or not quiet and vice versa. Everyone who is both not quiet and not funny is both generous and tall. If susan is either rich or quiet then someone is either generous or creative and vice versa. Everyone who is humble is quiet or not rich. If alice is kind then... | Susan is not tall. | neutral | (![X]:((patient(X)<~>brave(X))<=>(~brave(X)<~>~quiet(X))))&
(![X]:((~quiet(X)&~funny(X))=>(generous(X)&tall(X))))&
(((rich(susan)<~>quiet(susan)))<=>(?[X]:((generous(X)<~>creative(X)))))&
(![X]:(humble(X)=>(quiet(X)|~rich(X))))&
((kind(alice))=>(tall(alice)))&
(((~strong(paul)&~happy(paul)))<=>((patient(alice)<~>~old(a... | ~tall(susan) | [] | null | 0 |
If alice is wise or not patient then john is either not brave or not tall.
Everyone who is funny is not curious or strong and vice versa.
Everyone who is either not humble or not calm is curious.
If alice is not funny then someone is both curious and strong and vice versa.
Everyone who is not tall or calm is either not... | Fred is not wise. | entailment | (((wise(alice)|~patient(alice)))=>((~brave(john)<~>~tall(john))))&
(![X]:(funny(X)<=>(~curious(X)|strong(X))))&
(![X]:((~humble(X)<~>~calm(X))=>curious(X)))&
((~funny(alice))<=>(?[X]:((curious(X)&strong(X)))))&
(![X]:((~tall(X)|calm(X))=>(~tall(X)<~>~humble(X))))&
(((kind(paul)<~>~old(paul)))<=>((~wise(fred)<~>old(fred... | ~wise(fred) | [
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5321778941229477376806012
% SZS output start Proof for 5321778941229477376806012
7. ! [X0] : ((patient(X0) <~> ~old(X0)) <=> (old(X0) & humble(X0))) [input p6]
8. old(john) => ? [X0] : (curious(X0) & ~curious(X0)) [input p7]
15. (~patient(john) & ~calm(john)) <=> ? [X0] : (wise(X0) | tall... | 0 |
If fred is calm then lucy is either not patient or humble and vice versa.
Everyone who is not humble or not rich is both creative and kind and vice versa.
If someone is not creative then fred is either not tall or not brave.
If someone is either brave or creative then someone is not quiet or not brave.
If someone is no... | Lucy is not strong. | entailment | ((calm(fred))<=>((~patient(lucy)<~>humble(lucy))))&
(![X]:((~humble(X)|~rich(X))<=>(creative(X)&kind(X))))&
((?[X]:(~creative(X)))=>((~tall(fred)<~>~brave(fred))))&
((?[X]:((brave(X)<~>creative(X))))=>(?[X]:((~quiet(X)|~brave(X)))))&
((?[X]:(~humble(X)))<=>(?[X]:((~wise(X)<~>generous(X)))))&
(![X]:((~funny(X)|~generous... | ~strong(lucy) | [
"p1",
"p5",
"p7",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4500040602956014882280059
% SZS output start Proof for 4500040602956014882280059
2. ! [X0] : ((~rich(X0) | ~humble(X0)) <=> (kind(X0) & creative(X0))) [input p1]
6. ! [X0] : ((~generous(X0) | ~funny(X0)) => ~brave(X0)) [input p5]
8. ! [X0] : ((tall(X0) <~> ~rich(X0)) <=> (quiet(X0) <~> ~b... | 0 |
Everyone who is not patient or happy is generous or happy and vice versa.
If someone is strong then someone is both tall and old.
If someone is either not strong or not rich then paul is quiet.
Everyone who is generous is not rich.
If fred is not tall then john is either funny or old.
Everyone who is not creative or st... | John is not generous. | entailment | (![X]:((~patient(X)|happy(X))<=>(generous(X)|happy(X))))&
((?[X]:(strong(X)))=>(?[X]:((tall(X)&old(X)))))&
((?[X]:((~strong(X)<~>~rich(X))))=>(quiet(paul)))&
(![X]:(generous(X)=>~rich(X)))&
((~tall(fred))=>((funny(john)<~>old(john))))&
(![X]:((~creative(X)|strong(X))=>~happy(X)))&
((?[X]:((~generous(X)<~>rich(X))))<=>(... | ~generous(john) | [
"p3",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7348571434189777864583942
% SZS output start Proof for 7348571434189777864583942
4. ! [X0] : (generous(X0) => ~rich(X0)) [input p3]
24. rich(john) [input p23]
25. generous(john) [input hypothesis]
34. ! [X0] : (~rich(X0) | ~generous(X0)) [ennf transformation 4]
92. ~rich(X0) | ~generous(X... | 0 |
If someone is humble or tall then john is rich or not curious.
Everyone who is brave or curious is not kind and vice versa.
Everyone who is both happy and brave is either brave or not strong and vice versa.
Everyone who is kind is both old and not old.
If fred is not generous then someone is both generous and not kind.... | Mary is not creative. | entailment | ((?[X]:((humble(X)|tall(X))))=>((rich(john)|~curious(john))))&
(![X]:((brave(X)|curious(X))<=>~kind(X)))&
(![X]:((happy(X)&brave(X))<=>(brave(X)<~>~strong(X))))&
(![X]:(kind(X)=>(old(X)&~old(X))))&
((~generous(fred))=>(?[X]:((generous(X)&~kind(X)))))&
(![X]:(quiet(X)<=>~creative(X)))&
(![X]:(patient(X)<=>(~kind(X)<~>cu... | ~creative(mary) | [
"p1",
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7750743064071315178637470
% SZS output start Proof for 7750743064071315178637470
2. ! [X0] : ((curious(X0) | brave(X0)) <=> ~kind(X0)) [input p1]
4. ! [X0] : (kind(X0) => (~old(X0) & old(X0))) [input p3]
7. ! [X0] : (patient(X0) <=> (~kind(X0) <~> curious(X0))) [input p6]
14. ! [X0] : ((b... | 0 |
Everyone who is either not generous or wise is either not wise or tall and vice versa.
If fred is both calm and not humble then someone is rich and vice versa.
Everyone who is strong is wise or not patient and vice versa.
Everyone who is calm or rich is both quiet and happy.
Everyone who is happy is not tall or kind an... | John is strong. | contradiction | (![X]:((~generous(X)<~>wise(X))<=>(~wise(X)<~>tall(X))))&
(((calm(fred)&~humble(fred)))<=>(?[X]:(rich(X))))&
(![X]:(strong(X)<=>(wise(X)|~patient(X))))&
(![X]:((calm(X)|rich(X))=>(quiet(X)&happy(X))))&
(![X]:(happy(X)<=>(~tall(X)|kind(X))))&
(![X]:((~calm(X)|~patient(X))=>quiet(X)))&
(![X]:(~curious(X)=>quiet(X)))&
(((... | strong(john) | [
"p0",
"p2",
"p3",
"p5",
"p8",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4909987775052372564315255
% SZS output start Proof for 4909987775052372564315255
1. ! [X0] : ((~generous(X0) <~> wise(X0)) <=> (~wise(X0) <~> tall(X0))) [input p0]
3. ! [X0] : (strong(X0) <=> (~patient(X0) | wise(X0))) [input p2]
4. ! [X0] : ((rich(X0) | calm(X0)) => (happy(X0) & quiet(X0... | 0 |
Everyone who is both not quiet and generous is not calm. Everyone who is not strong is kind or old and vice versa. Everyone who is kind or old is quiet and vice versa. Everyone who is both not humble and funny is either not generous or creative and vice versa. Everyone who is funny or generous is not quiet. If someone ... | Fred is not funny. | contradiction | (![X]:((~quiet(X)&generous(X))=>~calm(X)))&
(![X]:(~strong(X)<=>(kind(X)|old(X))))&
(![X]:((kind(X)|old(X))<=>quiet(X)))&
(![X]:((~humble(X)&funny(X))<=>(~generous(X)<~>creative(X))))&
(![X]:((funny(X)|generous(X))=>~quiet(X)))&
((?[X]:((tall(X)<~>kind(X))))=>(calm(fred)))&
(![X]:((wise(X)|~patient(X))=>~generous(X)))&... | ~funny(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3543943549242537554255907
% SZS output start Proof for 3543943549242537554255907
19. funny(fred) & generous(fred) [input p18]
24. ~funny(fred) [input hypothesis]
132. funny(fred) [cnf transformation 19]
138. ~funny(fred) [cnf transformation 24]
236. 22 <=> funny(fred) [avatar definition]
... | 0 |
Everyone who is both creative and rich is creative or strong and vice versa.
If someone is either rich or happy then someone is both not funny and not curious and vice versa.
If someone is either not humble or not generous then someone is either brave or strong.
Everyone who is not rich or brave is both not tall and st... | Lucy is not happy. | contradiction | (![X]:((creative(X)&rich(X))<=>(creative(X)|strong(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((~funny(X)&~curious(X)))))&
((?[X]:((~humble(X)<~>~generous(X))))=>(?[X]:((brave(X)<~>strong(X)))))&
(![X]:((~rich(X)|brave(X))=>(~tall(X)&strong(X))))&
(((brave(mary)&~creative(mary)))<=>(?[X]:((funny(X)|~quiet(X)))))&
(!... | ~happy(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5266570437324052901851233
% SZS output start Proof for 5266570437324052901851233
1. ! [X0] : ((rich(X0) & creative(X0)) <=> (strong(X0) | creative(X0))) [input p0]
2. ? [X0] : (rich(X0) <~> happy(X0)) <=> ? [X0] : (~curious(X0) & ~funny(X0)) [input p1]
3. ? [X0] : (~humble(X0) <~> ~genero... | 0 |
Everyone who is brave or not rich is both not brave and humble and vice versa.
Everyone who is tall or not curious is old.
If paul is not curious then someone is not strong.
Everyone who is generous is either quiet or not wise and vice versa.
Everyone who is either brave or quiet is either quiet or not calm.
Everyone w... | John is not brave. | entailment | (![X]:((brave(X)|~rich(X))<=>(~brave(X)&humble(X))))&
(![X]:((tall(X)|~curious(X))=>old(X)))&
((~curious(paul))=>(?[X]:(~strong(X))))&
(![X]:(generous(X)<=>(quiet(X)<~>~wise(X))))&
(![X]:((brave(X)<~>quiet(X))=>(quiet(X)<~>~calm(X))))&
(![X]:((~creative(X)|old(X))=>(generous(X)&creative(X))))&
((?[X]:((curious(X)&rich(... | ~brave(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1613925930798426657306592
% SZS output start Proof for 1613925930798426657306592
1. ! [X0] : ((~rich(X0) | brave(X0)) <=> (humble(X0) & ~brave(X0))) [input p0]
19. brave(john) [input hypothesis]
34. ! [X0] : (((~rich(X0) | brave(X0)) | (~humble(X0) | brave(X0))) & ((humble(X0) & ~brave(X0... | 0 |
If alice is both not quiet and not humble then someone is both rich and happy and vice versa. Everyone who is happy or not patient is patient or not patient. Everyone who is curious or not funny is both creative and not funny and vice versa. Everyone who is tall is not generous. Everyone who is either creative or not k... | Fred is tall. | neutral | (((~quiet(alice)&~humble(alice)))<=>(?[X]:((rich(X)&happy(X)))))&
(![X]:((happy(X)|~patient(X))=>(patient(X)|~patient(X))))&
(![X]:((curious(X)|~funny(X))<=>(creative(X)&~funny(X))))&
(![X]:(tall(X)=>~generous(X)))&
(![X]:((creative(X)<~>~kind(X))<=>~old(X)))&
(![X]:((quiet(X)|~strong(X))=>(happy(X)|kind(X))))&
(![X]:(... | tall(fred) | [] | null | 0 |
Everyone who is both not calm and not humble is creative and vice versa.
Everyone who is not curious is brave or curious.
Everyone who is both kind and calm is both funny and not generous.
Everyone who is not calm is either humble or not creative and vice versa.
Everyone who is both not curious and not kind is both pat... | Fred is happy. | contradiction | (![X]:((~calm(X)&~humble(X))<=>creative(X)))&
(![X]:(~curious(X)=>(brave(X)|curious(X))))&
(![X]:((kind(X)&calm(X))=>(funny(X)&~generous(X))))&
(![X]:(~calm(X)<=>(humble(X)<~>~creative(X))))&
(![X]:((~curious(X)&~kind(X))=>(patient(X)&~strong(X))))&
(((old(john)|curious(john)))=>(?[X]:((wise(X)|happy(X)))))&
(((funny(l... | happy(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3374922502813382098809510
% SZS output start Proof for 3374922502813382098809510
22. ~happy(fred) [input p21]
25. happy(fred) [input hypothesis]
137. ~happy(fred) [cnf transformation 22]
141. happy(fred) [cnf transformation 25]
353. $false [subsumption resolution 141,137]
% SZS output end... | 0 |
Everyone who is either curious or happy is either not old or not funny and vice versa.
Everyone who is happy or kind is either calm or brave and vice versa.
Everyone who is either quiet or not kind is either wise or not humble and vice versa.
If fred is both quiet and not creative then someone is calm.
Everyone who is ... | Susan is not rich. | entailment | (![X]:((curious(X)<~>happy(X))<=>(~old(X)<~>~funny(X))))&
(![X]:((happy(X)|kind(X))<=>(calm(X)<~>brave(X))))&
(![X]:((quiet(X)<~>~kind(X))<=>(wise(X)<~>~humble(X))))&
(((quiet(fred)&~creative(fred)))=>(?[X]:(calm(X))))&
(![X]:((~quiet(X)&curious(X))<=>(~happy(X)&funny(X))))&
(![X]:((curious(X)<~>~generous(X))<=>(happy(... | ~rich(susan) | [
"p1",
"p8",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4238134936385995979760259
% SZS output start Proof for 4238134936385995979760259
2. ! [X0] : ((kind(X0) | happy(X0)) <=> (calm(X0) <~> brave(X0))) [input p1]
9. ! [X0] : (old(X0) <=> (~tall(X0) & old(X0))) [input p8]
13. ! [X0] : ((~rich(X0) <~> happy(X0)) => (tall(X0) <~> ~rich(X0))) [in... | 0 |
Everyone who is not humble is happy and vice versa.
If john is not strong or patient then susan is strong and vice versa.
Everyone who is not strong is tall and vice versa.
If someone is not old then john is not humble.
If someone is not old then alice is not curious.
Everyone who is either not curious or not humble is... | John is not brave. | entailment | (![X]:(~humble(X)<=>happy(X)))&
(((~strong(john)|patient(john)))<=>(strong(susan)))&
(![X]:(~strong(X)<=>tall(X)))&
((?[X]:(~old(X)))=>(~humble(john)))&
((?[X]:(~old(X)))=>(~curious(alice)))&
(![X]:((~curious(X)<~>~humble(X))=>(creative(X)&~calm(X))))&
((?[X]:((~wise(X)|calm(X))))<=>(?[X]:((~wise(X)&~quiet(X)))))&
(((c... | ~brave(john) | [
"p0",
"p5",
"p10",
"p12",
"p17",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6782393385522288965707190
% SZS output start Proof for 6782393385522288965707190
1. ! [X0] : (~humble(X0) <=> happy(X0)) [input p0]
6. ! [X0] : ((~curious(X0) <~> ~humble(X0)) => (~calm(X0) & creative(X0))) [input p5]
11. ! [X0] : ((~generous(X0) | strong(X0)) <=> (~brave(X0) <~> ~wise(X0... | 0 |
Everyone who is both happy and patient is both quiet and not curious and vice versa.
If someone is not tall or brave then someone is either not calm or not generous.
Everyone who is wise or not generous is both not kind and generous and vice versa.
If fred is both not curious and not patient then john is generous or no... | Fred is not curious. | entailment | (![X]:((happy(X)&patient(X))<=>(quiet(X)&~curious(X))))&
((?[X]:((~tall(X)|brave(X))))=>(?[X]:((~calm(X)<~>~generous(X)))))&
(![X]:((wise(X)|~generous(X))<=>(~kind(X)&generous(X))))&
(((~curious(fred)&~patient(fred)))<=>((generous(john)|~happy(john))))&
(![X]:((~quiet(X)|old(X))<=>(~strong(X)<~>generous(X))))&
(((stron... | ~curious(fred) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1567478987608776394863909
% SZS output start Proof for 1567478987608776394863909
3. ! [X0] : ((~generous(X0) | wise(X0)) <=> (generous(X0) & ~kind(X0))) [input p2]
4. (~patient(fred) & ~curious(fred)) <=> (~happy(john) | generous(john)) [input p3]
24. curious(fred) [input hypothesis]
41. ... | 0 |
Everyone who is either not curious or wise is either not humble or humble and vice versa.
If someone is not brave then mary is either creative or strong and vice versa.
Everyone who is both strong and calm is not happy and vice versa.
Everyone who is calm is either not wise or not humble.
Everyone who is either curious... | Mary is not creative. | neutral | (![X]:((~curious(X)<~>wise(X))<=>(~humble(X)<~>humble(X))))&
((?[X]:(~brave(X)))<=>((creative(mary)<~>strong(mary))))&
(![X]:((strong(X)&calm(X))<=>~happy(X)))&
(![X]:(calm(X)=>(~wise(X)<~>~humble(X))))&
(![X]:((curious(X)<~>brave(X))<=>(~kind(X)&rich(X))))&
(![X]:((kind(X)|~funny(X))=>(~strong(X)&happy(X))))&
(![X]:(~... | ~creative(mary) | [] | null | 0 |
Everyone who is not happy or not curious is either calm or wise.
If someone is either creative or not brave then someone is calm or not generous.
Everyone who is either creative or kind is not old.
Everyone who is generous is either not calm or wise and vice versa.
Everyone who is wise or not humble is not brave or fun... | Alice is happy. | entailment | (![X]:((~happy(X)|~curious(X))=>(calm(X)<~>wise(X))))&
((?[X]:((creative(X)<~>~brave(X))))=>(?[X]:((calm(X)|~generous(X)))))&
(![X]:((creative(X)<~>kind(X))=>~old(X)))&
(![X]:(generous(X)<=>(~calm(X)<~>wise(X))))&
(![X]:((wise(X)|~humble(X))<=>(~brave(X)|funny(X))))&
(![X]:((~quiet(X)|wise(X))<=>(calm(X)&~curious(X))))... | happy(alice) | [
"p0",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 164199262716824717362673
% SZS output start Proof for 164199262716824717362673
1. ! [X0] : ((~curious(X0) | ~happy(X0)) => (calm(X0) <~> wise(X0))) [input p0]
6. ! [X0] : ((wise(X0) | ~quiet(X0)) <=> (~curious(X0) & calm(X0))) [input p5]
8. ! [X0] : ((~curious(X0) & wise(X0)) <=> (calm(X0... | 0 |
Everyone who is either not rich or creative is either happy or generous. Everyone who is not tall is not kind or rich. If mary is tall or not calm then someone is not calm or not happy and vice versa. Everyone who is not old is generous. Everyone who is rich or not patient is not tall and vice versa. If someone is both... | John is not funny. | neutral | (![X]:((~rich(X)<~>creative(X))=>(happy(X)<~>generous(X))))&
(![X]:(~tall(X)=>(~kind(X)|rich(X))))&
(((tall(mary)|~calm(mary)))<=>(?[X]:((~calm(X)|~happy(X)))))&
(![X]:(~old(X)=>generous(X)))&
(![X]:((rich(X)|~patient(X))<=>~tall(X)))&
((?[X]:((~rich(X)&kind(X))))<=>((rich(fred)<~>~generous(fred))))&
(![X]:((patient(X)... | ~funny(john) | [] | null | 0 |
If someone is both brave and generous then someone is either rich or not quiet and vice versa.
If mary is either not curious or wise then paul is not brave.
Everyone who is wise is both not tall and funny.
Everyone who is happy is either not patient or not quiet and vice versa.
Everyone who is both not old and not gene... | Lucy is humble. | neutral | ((?[X]:((brave(X)&generous(X))))<=>(?[X]:((rich(X)<~>~quiet(X)))))&
(((~curious(mary)<~>wise(mary)))=>(~brave(paul)))&
(![X]:(wise(X)=>(~tall(X)&funny(X))))&
(![X]:(happy(X)<=>(~patient(X)<~>~quiet(X))))&
(![X]:((~old(X)&~generous(X))=>(~calm(X)&~curious(X))))&
(![X]:((funny(X)|~generous(X))<=>~brave(X)))&
(![X]:((crea... | humble(lucy) | [] | null | 0 |
Everyone who is either not patient or kind is either not generous or quiet.
If alice is not happy then someone is either curious or not brave and vice versa.
If someone is both old and not kind then someone is not curious or generous and vice versa.
If someone is either creative or quiet then someone is not old and vic... | Susan is not generous. | entailment | (![X]:((~patient(X)<~>kind(X))=>(~generous(X)<~>quiet(X))))&
((~happy(alice))<=>(?[X]:((curious(X)<~>~brave(X)))))&
((?[X]:((old(X)&~kind(X))))<=>(?[X]:((~curious(X)|generous(X)))))&
((?[X]:((creative(X)<~>quiet(X))))<=>(?[X]:(~old(X))))&
(![X]:(~wise(X)<=>(quiet(X)|~creative(X))))&
(![X]:(~patient(X)=>(~calm(X)<~>~qui... | ~generous(susan) | [
"p4",
"p7",
"p8",
"p10",
"p11",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7215549965713249030566654
% SZS output start Proof for 7215549965713249030566654
5. ! [X0] : (~wise(X0) <=> (~creative(X0) | quiet(X0))) [input p4]
8. ! [X0] : (wise(X0) <=> (wise(X0) <~> ~wise(X0))) [input p7]
9. ! [X0] : (curious(X0) <=> (~happy(X0) | ~curious(X0))) [input p8]
11. ! [X0... | 0 |
Everyone who is wise is either not kind or old.
Everyone who is wise or not humble is rich or not strong.
Everyone who is curious is not happy or funny and vice versa.
Everyone who is both not tall and quiet is either wise or not calm and vice versa.
If alice is either old or patient then someone is not tall or humble ... | Paul is calm. | neutral | (![X]:(wise(X)=>(~kind(X)<~>old(X))))&
(![X]:((wise(X)|~humble(X))=>(rich(X)|~strong(X))))&
(![X]:(curious(X)<=>(~happy(X)|funny(X))))&
(![X]:((~tall(X)&quiet(X))<=>(wise(X)<~>~calm(X))))&
(((old(alice)<~>patient(alice)))<=>(?[X]:((~tall(X)|humble(X)))))&
((?[X]:((old(X)|curious(X))))<=>(strong(susan)))&
((?[X]:((~wise... | calm(paul) | [] | null | 0 |
Everyone who is either not generous or not patient is both not old and rich.
If someone is both rich and strong then alice is happy and vice versa.
Everyone who is creative or generous is old or not wise.
If someone is either not kind or strong then someone is both generous and tall and vice versa.
Everyone who is funn... | Susan is kind. | contradiction | (![X]:((~generous(X)<~>~patient(X))=>(~old(X)&rich(X))))&
((?[X]:((rich(X)&strong(X))))<=>(happy(alice)))&
(![X]:((creative(X)|generous(X))=>(old(X)|~wise(X))))&
((?[X]:((~kind(X)<~>strong(X))))<=>(?[X]:((generous(X)&tall(X)))))&
(![X]:((funny(X)|~funny(X))=>~tall(X)))&
(![X]:((curious(X)|patient(X))<=>(~patient(X)<~>s... | kind(susan) | [
"p0",
"p3",
"p4",
"p5",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5447081404485810094583271
% SZS output start Proof for 5447081404485810094583271
1. ! [X0] : ((~generous(X0) <~> ~patient(X0)) => (rich(X0) & ~old(X0))) [input p0]
4. ? [X0] : (~kind(X0) <~> strong(X0)) <=> ? [X0] : (tall(X0) & generous(X0)) [input p3]
5. ! [X0] : ((~funny(X0) | funny(X0)... | 0 |
If someone is not creative then someone is brave.
Everyone who is either kind or not quiet is not funny.
If someone is funny then someone is either not generous or not rich.
Everyone who is kind is rich.
Everyone who is old is either not quiet or curious and vice versa.
If someone is both old and patient then fred is e... | John is rich. | entailment | ((?[X]:(~creative(X)))=>(?[X]:(brave(X))))&
(![X]:((kind(X)<~>~quiet(X))=>~funny(X)))&
((?[X]:(funny(X)))=>(?[X]:((~generous(X)<~>~rich(X)))))&
(![X]:(kind(X)=>rich(X)))&
(![X]:(old(X)<=>(~quiet(X)<~>curious(X))))&
((?[X]:((old(X)&patient(X))))<=>((~tall(fred)<~>tall(fred))))&
((?[X]:((generous(X)<~>~funny(X))))<=>(cal... | rich(john) | [
"p3",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2890791714708559977751142
% SZS output start Proof for 2890791714708559977751142
4. ! [X0] : (kind(X0) => rich(X0)) [input p3]
14. ! [X0] : (~kind(X0) => generous(X0)) [input p13]
24. rich(john) <~> ~generous(john) [input p23]
25. ~rich(john) [input hypothesis]
33. ! [X0] : (rich(X0) | ~k... | 0 |
If someone is calm or not strong then susan is both generous and patient.
If someone is either tall or strong then mary is funny.
If someone is not calm or tall then someone is funny or curious.
Everyone who is strong is both not funny and not tall and vice versa.
Everyone who is not happy or not kind is both rich and ... | Alice is creative. | entailment | ((?[X]:((calm(X)|~strong(X))))=>((generous(susan)&patient(susan))))&
((?[X]:((tall(X)<~>strong(X))))=>(funny(mary)))&
((?[X]:((~calm(X)|tall(X))))=>(?[X]:((funny(X)|curious(X)))))&
(![X]:(strong(X)<=>(~funny(X)&~tall(X))))&
(![X]:((~happy(X)|~kind(X))<=>(rich(X)&brave(X))))&
((?[X]:((quiet(X)|humble(X))))<=>((~old(mary... | creative(alice) | [
"p1",
"p3",
"p4",
"p5",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1010905415776707211686867
% SZS output start Proof for 1010905415776707211686867
2. ? [X0] : (tall(X0) <~> strong(X0)) => funny(mary) [input p1]
4. ! [X0] : (strong(X0) <=> (~tall(X0) & ~funny(X0))) [input p3]
5. ! [X0] : ((~kind(X0) | ~happy(X0)) <=> (brave(X0) & rich(X0))) [input p4]
6.... | 0 |
Everyone who is both strong and not wise is either not curious or strong and vice versa.
If someone is quiet then lucy is both not wise and not creative and vice versa.
Everyone who is both not happy and happy is not old or quiet.
Everyone who is not patient is not curious and vice versa.
Everyone who is funny or curio... | Fred is patient. | entailment | (![X]:((strong(X)&~wise(X))<=>(~curious(X)<~>strong(X))))&
((?[X]:(quiet(X)))<=>((~wise(lucy)&~creative(lucy))))&
(![X]:((~happy(X)&happy(X))=>(~old(X)|quiet(X))))&
(![X]:(~patient(X)<=>~curious(X)))&
(![X]:((funny(X)|curious(X))<=>~humble(X)))&
(![X]:((~wise(X)<~>kind(X))<=>(wise(X)|rich(X))))&
(![X]:((~strong(X)|~qui... | patient(fred) | [
"p0",
"p1",
"p3",
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4763153062395748227108931
% SZS output start Proof for 4763153062395748227108931
1. ! [X0] : ((~wise(X0) & strong(X0)) <=> (~curious(X0) <~> strong(X0))) [input p0]
2. ? [X0] : quiet(X0) <=> (~creative(lucy) & ~wise(lucy)) [input p1]
4. ! [X0] : (~patient(X0) <=> ~curious(X0)) [input p3]
... | 0 |
If someone is either not old or quiet then someone is either not tall or wise.
Everyone who is both rich and humble is either funny or brave.
Everyone who is not curious or tall is not calm or quiet.
If mary is patient or rich then paul is not strong or rich and vice versa.
Everyone who is both not patient and curious ... | Susan is not wise. | neutral | ((?[X]:((~old(X)<~>quiet(X))))=>(?[X]:((~tall(X)<~>wise(X)))))&
(![X]:((rich(X)&humble(X))=>(funny(X)<~>brave(X))))&
(![X]:((~curious(X)|tall(X))=>(~calm(X)|quiet(X))))&
(((patient(mary)|rich(mary)))<=>((~strong(paul)|rich(paul))))&
(![X]:((~patient(X)&curious(X))=>(happy(X)|~creative(X))))&
((?[X]:(~calm(X)))<=>(?[X]:... | ~wise(susan) | [] | null | 0 |
Everyone who is not calm is either generous or humble. If someone is both funny and generous then someone is funny. Everyone who is not rich or brave is either not calm or not curious. Everyone who is either happy or not brave is funny or not wise. If someone is strong then susan is not patient or happy. Everyone who i... | Alice is humble. | entailment | (![X]:(~calm(X)=>(generous(X)<~>humble(X))))&
((?[X]:((funny(X)&generous(X))))=>(?[X]:(funny(X))))&
(![X]:((~rich(X)|brave(X))=>(~calm(X)<~>~curious(X))))&
(![X]:((happy(X)<~>~brave(X))=>(funny(X)|~wise(X))))&
((?[X]:(strong(X)))=>((~patient(susan)|happy(susan))))&
(![X]:((~patient(X)<~>~happy(X))=>(~wise(X)&~funny(X))... | humble(alice) | [
"p0",
"p2",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9059362280541625555246862
% SZS output start Proof for 9059362280541625555246862
1. ! [X0] : (~calm(X0) => (generous(X0) <~> humble(X0))) [input p0]
3. ! [X0] : ((brave(X0) | ~rich(X0)) => (~calm(X0) <~> ~curious(X0))) [input p2]
11. ! [X0] : (~happy(X0) <=> (brave(X0) | happy(X0))) [inpu... | 0 |
Everyone who is tall is not patient. Everyone who is brave is both tall and not funny and vice versa. If someone is not strong or not generous then someone is either not funny or not old and vice versa. Everyone who is not wise or happy is not rich and vice versa. Everyone who is both humble and brave is not tall. Ever... | Alice is creative. | entailment | (![X]:(tall(X)=>~patient(X)))&
(![X]:(brave(X)<=>(tall(X)&~funny(X))))&
((?[X]:((~strong(X)|~generous(X))))<=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((~wise(X)|happy(X))<=>~rich(X)))&
(![X]:((humble(X)&brave(X))=>~tall(X)))&
(![X]:(~curious(X)<=>(generous(X)&~kind(X))))&
(![X]:(~brave(X)=>(quiet(X)&humble(X))))&
(![X]:... | creative(alice) | [
"p1",
"p4",
"p6",
"p7",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6328176020705448417696541
% SZS output start Proof for 6328176020705448417696541
2. ! [X0] : (brave(X0) <=> (~funny(X0) & tall(X0))) [input p1]
5. ! [X0] : ((brave(X0) & humble(X0)) => ~tall(X0)) [input p4]
7. ! [X0] : (~brave(X0) => (humble(X0) & quiet(X0))) [input p6]
8. ! [X0] : ((quie... | 0 |
Everyone who is calm or not quiet is kind or rich and vice versa.
Everyone who is generous or not funny is either creative or not rich.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who is ... | Paul is not generous. | contradiction | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|rich(X))))&
(![X]:((generous(X)|~funny(X))=>(creative(X)<~>~rich(X))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|humb... | ~generous(paul) | [
"p1",
"p4",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2540041629126743298399981
% SZS output start Proof for 2540041629126743298399981
2. ! [X0] : ((~funny(X0) | generous(X0)) => (creative(X0) <~> ~rich(X0))) [input p1]
5. ! [X0] : ((kind(X0) | ~rich(X0)) => strong(X0)) [input p4]
9. ! [X0] : ((patient(X0) | ~quiet(X0)) => ~rich(X0)) [input ... | 0 |
Everyone who is either not wise or not creative is wise or not patient. Everyone who is both generous and not wise is either not creative or patient and vice versa. Everyone who is both not creative and creative is kind. If lucy is both rich and not generous then john is both not creative and funny and vice versa. If j... | Lucy is not wise. | contradiction | (![X]:((~wise(X)<~>~creative(X))=>(wise(X)|~patient(X))))&
(![X]:((generous(X)&~wise(X))<=>(~creative(X)<~>patient(X))))&
(![X]:((~creative(X)&creative(X))=>kind(X)))&
(((rich(lucy)&~generous(lucy)))<=>((~creative(john)&funny(john))))&
(((~quiet(john)|generous(john)))<=>((happy(paul)|~happy(paul))))&
((~wise(lucy))=>(?... | ~wise(lucy) | [
"p0",
"p1",
"p3",
"p7",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7974063401542377195374096
% SZS output start Proof for 7974063401542377195374096
1. ! [X0] : ((~wise(X0) <~> ~creative(X0)) => (~patient(X0) | wise(X0))) [input p0]
2. ! [X0] : ((~wise(X0) & generous(X0)) <=> (~creative(X0) <~> patient(X0))) [input p1]
4. (~generous(lucy) & rich(lucy)) <=... | 0 |
If john is patient then paul is old or brave.
Everyone who is creative is both funny and not brave.
If mary is either not wise or kind then someone is both kind and wise and vice versa.
If alice is either not funny or tall then alice is not strong or not creative and vice versa.
Everyone who is not quiet or not strong ... | Alice is not curious. | contradiction | ((patient(john))=>((old(paul)|brave(paul))))&
(![X]:(creative(X)=>(funny(X)&~brave(X))))&
(((~wise(mary)<~>kind(mary)))<=>(?[X]:((kind(X)&wise(X)))))&
(((~funny(alice)<~>tall(alice)))<=>((~strong(alice)|~creative(alice))))&
(![X]:((~quiet(X)|~strong(X))=>(~tall(X)<~>generous(X))))&
(((old(alice)&curious(alice)))<=>(?[X... | ~curious(alice) | [
"p5",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3734535027478790675235247
% SZS output start Proof for 3734535027478790675235247
6. (curious(alice) & old(alice)) <=> ? [X0] : ~happy(X0) [input p5]
7. ! [X0] : ((calm(X0) | patient(X0)) => ~happy(X0)) [input p6]
16. ! [X0] : (~calm(X0) <=> (~rich(X0) & calm(X0))) [input p15]
24. ~curious... | 0 |
Everyone who is either quiet or not tall is not strong and vice versa. If someone is not humble then mary is not kind and vice versa. Everyone who is funny is not funny or wise and vice versa. Everyone who is not strong or patient is not funny or brave and vice versa. If paul is not happy then someone is either not tal... | Susan is not quiet. | entailment | (![X]:((quiet(X)<~>~tall(X))<=>~strong(X)))&
((?[X]:(~humble(X)))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(![X]:((~quiet(X)&~kind(X))<=>tall(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~quiet(X)&cu... | ~quiet(susan) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 911177454159139855407054
% SZS output start Proof for 911177454159139855407054
3. ! [X0] : (funny(X0) <=> (wise(X0) | ~funny(X0))) [input p2]
14. ! [X0] : ((happy(X0) <~> ~quiet(X0)) <=> (wise(X0) <~> happy(X0))) [input p13]
22. quiet(susan) [input hypothesis]
39. ! [X0] : ((funny(X0) | (... | 0 |
If someone is tall or not strong then someone is not humble or calm. Everyone who is both curious and funny is either not quiet or patient. Everyone who is tall or not humble is either rich or funny. If someone is curious then susan is both kind and humble and vice versa. If mary is not strong then paul is either not h... | Susan is curious. | contradiction | ((?[X]:((tall(X)|~strong(X))))=>(?[X]:((~humble(X)|calm(X)))))&
(![X]:((curious(X)&funny(X))=>(~quiet(X)<~>patient(X))))&
(![X]:((tall(X)|~humble(X))=>(rich(X)<~>funny(X))))&
((?[X]:(curious(X)))<=>((kind(susan)&humble(susan))))&
((~strong(mary))<=>((~happy(paul)<~>wise(paul))))&
((?[X]:((humble(X)|~generous(X))))=>(?[... | curious(susan) | [
"p3",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5520865977249113262877487
% SZS output start Proof for 5520865977249113262877487
4. ? [X0] : curious(X0) <=> (humble(susan) & kind(susan)) [input p3]
13. ! [X0] : ((old(X0) <~> humble(X0)) <=> (quiet(X0) <~> ~quiet(X0))) [input p12]
14. ? [X0] : (~curious(X0) <~> ~old(X0)) <=> (~humble(lu... | 0 |
Everyone who is not curious is both old and not happy.
Everyone who is both old and not strong is kind or not tall and vice versa.
Everyone who is kind is either not generous or calm.
Everyone who is not tall is either curious or not creative and vice versa.
Everyone who is either humble or tall is both creative and no... | Lucy is not calm. | neutral | (![X]:(~curious(X)=>(old(X)&~happy(X))))&
(![X]:((old(X)&~strong(X))<=>(kind(X)|~tall(X))))&
(![X]:(kind(X)=>(~generous(X)<~>calm(X))))&
(![X]:(~tall(X)<=>(curious(X)<~>~creative(X))))&
(![X]:((humble(X)<~>tall(X))<=>(creative(X)&~rich(X))))&
(![X]:((~brave(X)<~>~strong(X))<=>~brave(X)))&
((?[X]:((old(X)&~generous(X)))... | ~calm(lucy) | [] | null | 0 |
Everyone who is happy or not generous is old and vice versa. If someone is both wise and not calm then susan is calm and vice versa. Everyone who is both not generous and humble is either not calm or not rich. If john is both funny and not calm then lucy is not strong. If someone is both brave and not patient then some... | Alice is creative. | contradiction | (![X]:((happy(X)|~generous(X))<=>old(X)))&
((?[X]:((wise(X)&~calm(X))))<=>(calm(susan)))&
(![X]:((~generous(X)&humble(X))=>(~calm(X)<~>~rich(X))))&
(((funny(john)&~calm(john)))=>(~strong(lucy)))&
((?[X]:((brave(X)&~patient(X))))=>(?[X]:((tall(X)&~patient(X)))))&
(![X]:((~creative(X)&quiet(X))=>(~tall(X)<~>~happy(X))))&... | creative(alice) | [
"p0",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5802972162947724026574758
% SZS output start Proof for 5802972162947724026574758
1. ! [X0] : ((~generous(X0) | happy(X0)) <=> old(X0)) [input p0]
7. ? [X0] : (~patient(X0) | creative(X0)) => ? [X0] : (brave(X0) <~> ~old(X0)) [input p6]
11. ! [X0] : ((old(X0) | ~old(X0)) => (~funny(X0) & ~... | 0 |
Everyone who is rich or wise is both not patient and generous and vice versa.
Everyone who is either not curious or old is either rich or not kind and vice versa.
If paul is not strong then someone is either creative or not creative and vice versa.
Everyone who is kind or curious is both tall and creative and vice vers... | Fred is kind. | entailment | (![X]:((rich(X)|wise(X))<=>(~patient(X)&generous(X))))&
(![X]:((~curious(X)<~>old(X))<=>(rich(X)<~>~kind(X))))&
((~strong(paul))<=>(?[X]:((creative(X)<~>~creative(X)))))&
(![X]:((kind(X)|curious(X))<=>(tall(X)&creative(X))))&
(![X]:((happy(X)|~quiet(X))=>brave(X)))&
(![X]:(creative(X)<=>(~rich(X)|~quiet(X))))&
((~calm(... | kind(fred) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 9019353278567757233819868
% SZS output start Proof for 9019353278567757233819868
3. ~strong(paul) <=> ? [X0] : (creative(X0) <~> ~creative(X0)) [input p2]
9. ? [X0] : (~strong(X0) | ~generous(X0)) <=> (old(fred) & kind(fred)) [input p8]
24. ~kind(fred) [input hypothesis]
37. (~strong(paul... | 0 |
Everyone who is either not rich or happy is not curious and vice versa. Everyone who is not wise or not happy is either not funny or strong and vice versa. Everyone who is not old is both not kind and strong. If someone is happy then lucy is either kind or not creative and vice versa. Everyone who is either not brave o... | Paul is not humble. | neutral | (![X]:((~rich(X)<~>happy(X))<=>~curious(X)))&
(![X]:((~wise(X)|~happy(X))<=>(~funny(X)<~>strong(X))))&
(![X]:(~old(X)=>(~kind(X)&strong(X))))&
((?[X]:(happy(X)))<=>((kind(lucy)<~>~creative(lucy))))&
(![X]:((~brave(X)<~>~happy(X))<=>(strong(X)|calm(X))))&
(((strong(alice)&~creative(alice)))<=>((creative(mary)&humble(mar... | ~humble(paul) | [] | null | 0 |
Everyone who is funny or not rich is both not generous and not brave.
If someone is calm or not happy then susan is not generous or not happy.
Everyone who is both tall and humble is either not quiet or not humble.
Everyone who is both wise and happy is brave and vice versa.
If someone is both kind and not creative the... | John is tall. | contradiction | (![X]:((funny(X)|~rich(X))=>(~generous(X)&~brave(X))))&
((?[X]:((calm(X)|~happy(X))))=>((~generous(susan)|~happy(susan))))&
(![X]:((tall(X)&humble(X))=>(~quiet(X)<~>~humble(X))))&
(![X]:((wise(X)&happy(X))<=>brave(X)))&
((?[X]:((kind(X)&~creative(X))))<=>((happy(lucy)&~humble(lucy))))&
(![X]:((tall(X)<~>~quiet(X))<=>(h... | tall(john) | [
"p2",
"p3",
"p6",
"p14",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6218637198378313829734342
% SZS output start Proof for 6218637198378313829734342
3. ! [X0] : ((humble(X0) & tall(X0)) => (~quiet(X0) <~> ~humble(X0))) [input p2]
4. ! [X0] : ((happy(X0) & wise(X0)) <=> brave(X0)) [input p3]
7. ! [X0] : ((~rich(X0) | funny(X0)) <=> (humble(X0) | old(X0))) ... | 0 |
Everyone who is both not old and not patient is happy. Everyone who is either kind or quiet is not tall. Everyone who is not old or wise is not quiet or not curious and vice versa. Everyone who is both not happy and not old is either kind or rich and vice versa. If john is both not rich and funny then someone is either... | John is not rich. | entailment | (![X]:((~old(X)&~patient(X))=>happy(X)))&
(![X]:((kind(X)<~>quiet(X))=>~tall(X)))&
(![X]:((~old(X)|wise(X))<=>(~quiet(X)|~curious(X))))&
(![X]:((~happy(X)&~old(X))<=>(kind(X)<~>rich(X))))&
(((~rich(john)&funny(john)))<=>(?[X]:((~wise(X)<~>~quiet(X)))))&
(![X]:(curious(X)=>(~humble(X)<~>~tall(X))))&
(![X]:((quiet(X)|~fu... | ~rich(john) | [
"p2",
"p3",
"p4",
"p6",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 912781248217800837428405
% SZS output start Proof for 912781248217800837428405
3. ! [X0] : ((wise(X0) | ~old(X0)) <=> (~curious(X0) | ~quiet(X0))) [input p2]
4. ! [X0] : ((~old(X0) & ~happy(X0)) <=> (kind(X0) <~> rich(X0))) [input p3]
5. (funny(john) & ~rich(john)) <=> ? [X0] : (~wise(X0)... | 0 |
Everyone who is not kind is either old or rich and vice versa.
If someone is both not generous and kind then paul is quiet.
Everyone who is both not creative and funny is both brave and not calm and vice versa.
If mary is both strong and humble then someone is not strong or not tall.
Everyone who is not curious is eith... | Paul is not happy. | neutral | (![X]:(~kind(X)<=>(old(X)<~>rich(X))))&
((?[X]:((~generous(X)&kind(X))))=>(quiet(paul)))&
(![X]:((~creative(X)&funny(X))<=>(brave(X)&~calm(X))))&
(((strong(mary)&humble(mary)))=>(?[X]:((~strong(X)|~tall(X)))))&
(![X]:(~curious(X)=>(~kind(X)<~>~strong(X))))&
((?[X]:(wise(X)))<=>(?[X]:(brave(X))))&
(((~generous(john)|cal... | ~happy(paul) | [] | null | 0 |
Everyone who is either not calm or not quiet is both not happy and funny and vice versa. If someone is tall then fred is brave or curious and vice versa. Everyone who is both not tall and not humble is kind. Everyone who is either old or not creative is rich and vice versa. If someone is either curious or tall then som... | Alice is not curious. | neutral | (![X]:((~calm(X)<~>~quiet(X))<=>(~happy(X)&funny(X))))&
((?[X]:(tall(X)))<=>((brave(fred)|curious(fred))))&
(![X]:((~tall(X)&~humble(X))=>kind(X)))&
(![X]:((old(X)<~>~creative(X))<=>rich(X)))&
((?[X]:((curious(X)<~>tall(X))))<=>(?[X]:((~tall(X)&~strong(X)))))&
(((~kind(john)|~creative(john)))<=>(~rich(mary)))&
(![X]:((... | ~curious(alice) | [] | null | 0 |
If john is not generous or quiet then susan is either not kind or not quiet.
If alice is happy then alice is both calm and not quiet and vice versa.
Everyone who is both not brave and creative is wise and vice versa.
Everyone who is either not old or generous is both not patient and not creative and vice versa.
If some... | John is not brave. | neutral | (((~generous(john)|quiet(john)))=>((~kind(susan)<~>~quiet(susan))))&
((happy(alice))<=>((calm(alice)&~quiet(alice))))&
(![X]:((~brave(X)&creative(X))<=>wise(X)))&
(![X]:((~old(X)<~>generous(X))<=>(~patient(X)&~creative(X))))&
((?[X]:((~tall(X)&~calm(X))))<=>(?[X]:((~funny(X)<~>funny(X)))))&
(![X]:((~curious(X)|tall(X))... | ~brave(john) | [] | null | 0 |
If fred is not tall then someone is patient or creative.
Everyone who is either not calm or rich is not rich or wise and vice versa.
If someone is both wise and not creative then someone is either creative or humble.
Everyone who is curious is strong and vice versa.
If someone is both not funny and curious then paul is... | Paul is not wise. | contradiction | ((~tall(fred))=>(?[X]:((patient(X)|creative(X)))))&
(![X]:((~calm(X)<~>rich(X))<=>(~rich(X)|wise(X))))&
((?[X]:((wise(X)&~creative(X))))=>(?[X]:((creative(X)<~>humble(X)))))&
(![X]:(curious(X)<=>strong(X)))&
((?[X]:((~funny(X)&curious(X))))<=>((curious(paul)|strong(paul))))&
((?[X]:((old(X)&~funny(X))))=>((rich(lucy)<~... | ~wise(paul) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6907885160828755873205453
% SZS output start Proof for 6907885160828755873205453
2. ! [X0] : ((~calm(X0) <~> rich(X0)) <=> (wise(X0) | ~rich(X0))) [input p1]
13. ! [X0] : (~wise(X0) => (~calm(X0) <~> ~wise(X0))) [input p12]
25. ~wise(paul) [input hypothesis]
39. ! [X0] : ((~calm(X0) <~> ~... | 0 |
If someone is both not kind and creative then someone is old or kind and vice versa.
If someone is either not patient or strong then someone is not humble.
Everyone who is not funny or happy is either not kind or strong.
Everyone who is both happy and tall is either not kind or old and vice versa.
Everyone who is not b... | Paul is not happy. | entailment | ((?[X]:((~kind(X)&creative(X))))<=>(?[X]:((old(X)|kind(X)))))&
((?[X]:((~patient(X)<~>strong(X))))=>(?[X]:(~humble(X))))&
(![X]:((~funny(X)|happy(X))=>(~kind(X)<~>strong(X))))&
(![X]:((happy(X)&tall(X))<=>(~kind(X)<~>old(X))))&
(![X]:(~brave(X)=>~calm(X)))&
(![X]:(tall(X)<=>(rich(X)|wise(X))))&
((?[X]:((humble(X)|quiet... | ~happy(paul) | [
"p0",
"p7",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8549099060369399437503879
% SZS output start Proof for 8549099060369399437503879
1. ? [X0] : (creative(X0) & ~kind(X0)) <=> ? [X0] : (kind(X0) | old(X0)) [input p0]
8. ! [X0] : ((~happy(X0) & calm(X0)) <=> (strong(X0) | brave(X0))) [input p7]
15. ? [X0] : creative(X0) <=> (rich(paul) & br... | 0 |
If lucy is either curious or happy then someone is not old or not funny and vice versa. Everyone who is not tall is wise and vice versa. Everyone who is either not creative or creative is patient. Everyone who is curious is not old and vice versa. Everyone who is both not quiet and wise is strong or wise and vice versa... | Lucy is not old. | neutral | (((curious(lucy)<~>happy(lucy)))<=>(?[X]:((~old(X)|~funny(X)))))&
(![X]:(~tall(X)<=>wise(X)))&
(![X]:((~creative(X)<~>creative(X))=>patient(X)))&
(![X]:(curious(X)<=>~old(X)))&
(![X]:((~quiet(X)&wise(X))<=>(strong(X)|wise(X))))&
((?[X]:((~strong(X)|rich(X))))<=>((~creative(fred)&funny(fred))))&
(((~creative(alice)|~cur... | ~old(lucy) | [] | null | 0 |
If fred is either not humble or tall then someone is patient and vice versa.
If someone is curious or not old then susan is both tall and not rich and vice versa.
If mary is not patient or not rich then paul is not creative.
If fred is tall then someone is kind or not tall.
Everyone who is both creative and not calm is... | Fred is wise. | entailment | (((~humble(fred)<~>tall(fred)))<=>(?[X]:(patient(X))))&
((?[X]:((curious(X)|~old(X))))<=>((tall(susan)&~rich(susan))))&
(((~patient(mary)|~rich(mary)))=>(~creative(paul)))&
((tall(fred))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:((creative(X)&~calm(X))=>(tall(X)|~kind(X))))&
((?[X]:((~quiet(X)|~old(X))))<=>((~patient(fred)&... | wise(fred) | [
"p5",
"p8",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5997310579648641035313332
% SZS output start Proof for 5997310579648641035313332
6. ? [X0] : (~old(X0) | ~quiet(X0)) <=> (~happy(fred) & ~patient(fred)) [input p5]
9. ~quiet(alice) <=> (rich(alice) | ~old(alice)) [input p8]
10. ! [X0] : (rich(X0) <=> (~tall(X0) | ~creative(X0))) [input p9... | 0 |
If fred is either tall or not patient then lucy is either not strong or not creative.
If susan is both not tall and not rich then someone is both curious and generous.
Everyone who is not funny is strong or not wise and vice versa.
Everyone who is old is both patient and not curious and vice versa.
If someone is happy ... | Susan is not wise. | neutral | (((tall(fred)<~>~patient(fred)))=>((~strong(lucy)<~>~creative(lucy))))&
(((~tall(susan)&~rich(susan)))=>(?[X]:((curious(X)&generous(X)))))&
(![X]:(~funny(X)<=>(strong(X)|~wise(X))))&
(![X]:(old(X)<=>(patient(X)&~curious(X))))&
((?[X]:((happy(X)|wise(X))))=>(?[X]:((calm(X)<~>~strong(X)))))&
(![X]:((calm(X)<~>tall(X))=>(... | ~wise(susan) | [] | null | 0 |
Everyone who is both not old and generous is both generous and happy and vice versa. Everyone who is not old or not patient is wise. If someone is both brave and wise then someone is both not calm and not brave and vice versa. If lucy is both humble and quiet then someone is both kind and calm and vice versa. Everyone ... | John is not humble. | neutral | (![X]:((~old(X)&generous(X))<=>(generous(X)&happy(X))))&
(![X]:((~old(X)|~patient(X))=>wise(X)))&
((?[X]:((brave(X)&wise(X))))<=>(?[X]:((~calm(X)&~brave(X)))))&
(((humble(lucy)&quiet(lucy)))<=>(?[X]:((kind(X)&calm(X)))))&
(![X]:((~funny(X)|~generous(X))<=>(humble(X)&~calm(X))))&
(![X]:((tall(X)|~humble(X))=>~patient(X)... | ~humble(john) | [] | null | 0 |
Everyone who is either not brave or not happy is not funny.
Everyone who is not quiet or not wise is creative.
If lucy is not generous or tall then paul is humble or not humble and vice versa.
Everyone who is either not brave or not tall is not brave or not tall.
Everyone who is either not kind or calm is both curious ... | Fred is not generous. | neutral | (![X]:((~brave(X)<~>~happy(X))=>~funny(X)))&
(![X]:((~quiet(X)|~wise(X))=>creative(X)))&
(((~generous(lucy)|tall(lucy)))<=>((humble(paul)|~humble(paul))))&
(![X]:((~brave(X)<~>~tall(X))=>(~brave(X)|~tall(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(curious(X)&~humble(X))))&
((?[X]:((~humble(X)&~tall(X))))<=>(?[X]:((~brave(X)&... | ~generous(fred) | [] | null | 0 |
Everyone who is either not rich or brave is not kind or humble.
If lucy is both not patient and curious then paul is quiet or brave.
Everyone who is either not old or not calm is humble.
Everyone who is humble or not humble is not old and vice versa.
Everyone who is creative is both old and not calm.
If someone is kind... | Alice is not strong. | entailment | (![X]:((~rich(X)<~>brave(X))=>(~kind(X)|humble(X))))&
(((~patient(lucy)&curious(lucy)))=>((quiet(paul)|brave(paul))))&
(![X]:((~old(X)<~>~calm(X))=>humble(X)))&
(![X]:((humble(X)|~humble(X))<=>~old(X)))&
(![X]:(creative(X)=>(old(X)&~calm(X))))&
((?[X]:((kind(X)|wise(X))))<=>(?[X]:((strong(X)<~>~generous(X)))))&
(((~wis... | ~strong(alice) | [
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3830264424937493219757935
% SZS output start Proof for 3830264424937493219757935
4. ! [X0] : ((~humble(X0) | humble(X0)) <=> ~old(X0)) [input p3]
5. ! [X0] : (creative(X0) => (~calm(X0) & old(X0))) [input p4]
10. ? [X0] : (~old(X0) <~> ~strong(X0)) <=> creative(paul) [input p9]
25. strong... | 0 |
Everyone who is both not tall and not old is either strong or patient.
Everyone who is either quiet or not tall is not creative and vice versa.
Everyone who is both not rich and rich is not generous or not curious.
If someone is both not funny and not quiet then someone is both not humble and not patient.
Everyone who ... | Alice is not kind. | contradiction | (![X]:((~tall(X)&~old(X))=>(strong(X)<~>patient(X))))&
(![X]:((quiet(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((~rich(X)&rich(X))=>(~generous(X)|~curious(X))))&
((?[X]:((~funny(X)&~quiet(X))))=>(?[X]:((~humble(X)&~patient(X)))))&
(![X]:((~quiet(X)&~funny(X))=>(~generous(X)&~curious(X))))&
(![X]:((~brave(X)&tall(X))<=>(ge... | ~kind(alice) | [
"p8",
"p10",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7688132108629413826425551
% SZS output start Proof for 7688132108629413826425551
9. (~calm(alice) & kind(alice)) <=> ? [X0] : (~generous(X0) | kind(X0)) [input p8]
11. ! [X0] : ((~funny(X0) | patient(X0)) => (~rich(X0) | ~generous(X0))) [input p10]
12. ! [X0] : ((funny(X0) | brave(X0)) =>... | 0 |
If someone is either not happy or not funny then paul is not quiet or not generous and vice versa. Everyone who is quiet is calm or not kind and vice versa. If someone is both kind and not curious then john is wise and vice versa. Everyone who is calm is tall or not brave. If fred is both tall and not happy then john i... | Fred is kind. | neutral | ((?[X]:((~happy(X)<~>~funny(X))))<=>((~quiet(paul)|~generous(paul))))&
(![X]:(quiet(X)<=>(calm(X)|~kind(X))))&
((?[X]:((kind(X)&~curious(X))))<=>(wise(john)))&
(![X]:(calm(X)=>(tall(X)|~brave(X))))&
(((tall(fred)&~happy(fred)))<=>(creative(john)))&
((humble(john))<=>((~funny(alice)&~wise(alice))))&
(![X]:((tall(X)|brav... | kind(fred) | [] | null | 0 |
Everyone who is both not kind and curious is either old or not happy and vice versa.
If fred is strong or not curious then john is funny and vice versa.
Everyone who is funny is either not funny or funny and vice versa.
If susan is wise then someone is not rich or creative and vice versa.
Everyone who is curious or cal... | Lucy is calm. | contradiction | (![X]:((~kind(X)&curious(X))<=>(old(X)<~>~happy(X))))&
(((strong(fred)|~curious(fred)))<=>(funny(john)))&
(![X]:(funny(X)<=>(~funny(X)<~>funny(X))))&
((wise(susan))<=>(?[X]:((~rich(X)|creative(X)))))&
(![X]:((curious(X)|calm(X))<=>(wise(X)&old(X))))&
(![X]:((~old(X)<~>old(X))<=>(strong(X)<~>generous(X))))&
(((~curious(... | calm(lucy) | [
"p2",
"p4",
"p6",
"p8",
"p9",
"p12",
"p13",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1519485826673331458876469
% SZS output start Proof for 1519485826673331458876469
3. ! [X0] : (funny(X0) <=> (~funny(X0) <~> funny(X0))) [input p2]
5. ! [X0] : ((calm(X0) | curious(X0)) <=> (old(X0) & wise(X0))) [input p4]
7. (~curious(mary) <~> brave(mary)) => ~old(paul) [input p6]
9. (~p... | 0 |
Everyone who is strong or not tall is either not curious or curious and vice versa.
Everyone who is rich or patient is both not curious and calm.
Everyone who is not patient or calm is both not creative and not calm and vice versa.
If mary is either not quiet or kind then paul is either humble or quiet and vice versa.
... | Mary is tall. | entailment | (![X]:((strong(X)|~tall(X))<=>(~curious(X)<~>curious(X))))&
(![X]:((rich(X)|patient(X))=>(~curious(X)&calm(X))))&
(![X]:((~patient(X)|calm(X))<=>(~creative(X)&~calm(X))))&
(((~quiet(mary)<~>kind(mary)))<=>((humble(paul)<~>quiet(paul))))&
((kind(mary))<=>(tall(alice)))&
((?[X]:((quiet(X)&~strong(X))))=>(curious(susan)))... | tall(mary) | [
"p1",
"p2",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5822239866913714939185225
% SZS output start Proof for 5822239866913714939185225
2. ! [X0] : ((patient(X0) | rich(X0)) => (calm(X0) & ~curious(X0))) [input p1]
3. ! [X0] : ((calm(X0) | ~patient(X0)) <=> (~calm(X0) & ~creative(X0))) [input p2]
9. ! [X0] : (~kind(X0) => (funny(X0) & creativ... | 0 |
Everyone who is both humble and calm is not wise or not happy and vice versa.
Everyone who is both not funny and calm is not quiet or not tall.
If someone is funny then alice is not humble or generous.
If paul is both brave and calm then paul is not kind.
If someone is kind or not funny then someone is rich.
Everyone w... | John is happy. | entailment | (![X]:((humble(X)&calm(X))<=>(~wise(X)|~happy(X))))&
(![X]:((~funny(X)&calm(X))=>(~quiet(X)|~tall(X))))&
((?[X]:(funny(X)))=>((~humble(alice)|generous(alice))))&
(((brave(paul)&calm(paul)))=>(~kind(paul)))&
((?[X]:((kind(X)|~funny(X))))=>(?[X]:(rich(X))))&
(![X]:((funny(X)&calm(X))=>(strong(X)|patient(X))))&
(![X]:((ri... | happy(john) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1200874194043014586981712
% SZS output start Proof for 1200874194043014586981712
1. ! [X0] : ((calm(X0) & humble(X0)) <=> (~happy(X0) | ~wise(X0))) [input p0]
14. ! [X0] : ((calm(X0) | ~old(X0)) => ~calm(X0)) [input p13]
25. ~happy(john) [input hypothesis]
39. ! [X0] : (~calm(X0) | (~calm... | 0 |
If someone is not generous or strong then john is curious or not humble and vice versa.
Everyone who is not funny is both not creative and not tall and vice versa.
Everyone who is not tall or old is both creative and old and vice versa.
If lucy is either curious or not tall then someone is either not wise or not kind a... | John is not brave. | neutral | ((?[X]:((~generous(X)|strong(X))))<=>((curious(john)|~humble(john))))&
(![X]:(~funny(X)<=>(~creative(X)&~tall(X))))&
(![X]:((~tall(X)|old(X))<=>(creative(X)&old(X))))&
(((curious(lucy)<~>~tall(lucy)))<=>(?[X]:((~wise(X)<~>~kind(X)))))&
(![X]:(~creative(X)<=>(curious(X)|~humble(X))))&
(![X]:((kind(X)|curious(X))=>~kind(... | ~brave(john) | [] | null | 0 |
Everyone who is either old or curious is old or rich and vice versa.
Everyone who is not creative or not curious is either not tall or tall.
If someone is patient then mary is happy or rich.
If someone is not wise then fred is both funny and not tall and vice versa.
If someone is not patient then susan is quiet or not ... | Paul is not quiet. | contradiction | (![X]:((old(X)<~>curious(X))<=>(old(X)|rich(X))))&
(![X]:((~creative(X)|~curious(X))=>(~tall(X)<~>tall(X))))&
((?[X]:(patient(X)))=>((happy(mary)|rich(mary))))&
((?[X]:(~wise(X)))<=>((funny(fred)&~tall(fred))))&
((?[X]:(~patient(X)))<=>((quiet(susan)|~funny(susan))))&
(![X]:(curious(X)<=>(~tall(X)|~happy(X))))&
(((~qui... | ~quiet(paul) | [
"p0",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8439968213552662207635979
% SZS output start Proof for 8439968213552662207635979
1. ! [X0] : ((old(X0) <~> curious(X0)) <=> (rich(X0) | old(X0))) [input p0]
6. ! [X0] : (curious(X0) <=> (~happy(X0) | ~tall(X0))) [input p5]
8. ! [X0] : ((~quiet(X0) <~> tall(X0)) <=> (funny(X0) & old(X0))) ... | 0 |
Everyone who is either humble or not creative is not brave or generous.
If someone is not old then john is calm or strong.
Everyone who is not strong or curious is not generous or not kind and vice versa.
Everyone who is strong is calm.
Everyone who is either funny or generous is both not rich and not generous and vice... | Alice is not curious. | contradiction | (![X]:((humble(X)<~>~creative(X))=>(~brave(X)|generous(X))))&
((?[X]:(~old(X)))=>((calm(john)|strong(john))))&
(![X]:((~strong(X)|curious(X))<=>(~generous(X)|~kind(X))))&
(![X]:(strong(X)=>calm(X)))&
(![X]:((funny(X)<~>generous(X))<=>(~rich(X)&~generous(X))))&
(((generous(susan)&happy(susan)))<=>(?[X]:((~old(X)<~>patie... | ~curious(alice) | [
"p0",
"p2",
"p4",
"p6",
"p8",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 83969511219757246773643
% SZS output start Proof for 83969511219757246773643
1. ! [X0] : ((humble(X0) <~> ~creative(X0)) => (generous(X0) | ~brave(X0))) [input p0]
3. ! [X0] : ((curious(X0) | ~strong(X0)) <=> (~kind(X0) | ~generous(X0))) [input p2]
5. ! [X0] : ((funny(X0) <~> generous(X0)... | 0 |
Everyone who is not old or not rich is happy or not patient.
If someone is curious or wise then paul is both not funny and brave.
Everyone who is both not humble and not wise is old or happy and vice versa.
Everyone who is patient is patient or not creative.
If fred is either not humble or old then someone is wise or c... | Paul is not brave. | contradiction | (![X]:((~old(X)|~rich(X))=>(happy(X)|~patient(X))))&
((?[X]:((curious(X)|wise(X))))=>((~funny(paul)&brave(paul))))&
(![X]:((~humble(X)&~wise(X))<=>(old(X)|happy(X))))&
(![X]:(patient(X)=>(patient(X)|~creative(X))))&
(((~humble(fred)<~>old(fred)))<=>(?[X]:((wise(X)|creative(X)))))&
((?[X]:((generous(X)<~>kind(X))))<=>(?... | ~brave(paul) | [
"p1",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1220760932886314746198470
% SZS output start Proof for 1220760932886314746198470
2. ? [X0] : (wise(X0) | curious(X0)) => (brave(paul) & ~funny(paul)) [input p1]
19. wise(john) [input p18]
25. ~brave(paul) [input hypothesis]
32. (brave(paul) & ~funny(paul)) | ! [X0] : (~wise(X0) & ~curious... | 0 |
If someone is not old then someone is both not wise and not old and vice versa. If someone is happy then someone is both happy and tall. Everyone who is both rich and not strong is either humble or curious and vice versa. Everyone who is curious is tall. Everyone who is either strong or not curious is calm or not kind ... | John is strong. | entailment | ((?[X]:(~old(X)))<=>(?[X]:((~wise(X)&~old(X)))))&
((?[X]:(happy(X)))=>(?[X]:((happy(X)&tall(X)))))&
(![X]:((rich(X)&~strong(X))<=>(humble(X)<~>curious(X))))&
(![X]:(curious(X)=>tall(X)))&
(![X]:((strong(X)<~>~curious(X))<=>(calm(X)|~kind(X))))&
(![X]:((~generous(X)<~>~curious(X))<=>(~tall(X)|patient(X))))&
((?[X]:(kind... | strong(john) | [
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3593135367479711816973542
% SZS output start Proof for 3593135367479711816973542
13. ! [X0] : ((~calm(X0) & rich(X0)) <=> (generous(X0) | calm(X0))) [input p12]
14. ! [X0] : (~generous(X0) <=> ~strong(X0)) [input p13]
15. ! [X0] : ((~humble(X0) | ~rich(X0)) => (strong(X0) & generous(X0)))... | 0 |
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