premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is not calm or quiet then alice is either not generous or not rich.
If mary is either not brave or funny then someone is happy.
If john is tall then someone is not rich or wise and vice versa.
If someone is either not patient or strong then someone is kind.
Everyone who is either strong or funny is generous ... | Alice is happy. | entailment | ((?[X]:((~calm(X)|quiet(X))))=>((~generous(alice)<~>~rich(alice))))&
(((~brave(mary)<~>funny(mary)))=>(?[X]:(happy(X))))&
((tall(john))<=>(?[X]:((~rich(X)|wise(X)))))&
((?[X]:((~patient(X)<~>strong(X))))=>(?[X]:(kind(X))))&
(![X]:((strong(X)<~>funny(X))<=>(generous(X)|calm(X))))&
(![X]:((~creative(X)&~rich(X))=>(old(X)... | happy(alice) | [
"p0",
"p14",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4483174572263447562195361
% SZS output start Proof for 4483174572263447562195361
1. ? [X0] : (quiet(X0) | ~calm(X0)) => (~generous(alice) <~> ~rich(alice)) [input p0]
15. ! [X0] : ((~happy(X0) <~> ~rich(X0)) <=> (quiet(X0) & happy(X0))) [input p14]
19. calm(mary) & quiet(mary) [input p18]... | 0 |
If fred is not wise or not calm then alice is both not curious and not funny and vice versa.
Everyone who is both not curious and wise is kind.
If someone is both brave and not calm then someone is both not funny and old.
If lucy is wise then paul is rich and vice versa.
If fred is either not humble or wise then someon... | Paul is not happy. | neutral | (((~wise(fred)|~calm(fred)))<=>((~curious(alice)&~funny(alice))))&
(![X]:((~curious(X)&wise(X))=>kind(X)))&
((?[X]:((brave(X)&~calm(X))))=>(?[X]:((~funny(X)&old(X)))))&
((wise(lucy))<=>(rich(paul)))&
(((~humble(fred)<~>wise(fred)))<=>(?[X]:(kind(X))))&
(((~patient(susan)<~>~strong(susan)))=>(tall(fred)))&
(![X]:(~rich(... | ~happy(paul) | [] | null | 0 |
Everyone who is not brave or not wise is either happy or rich and vice versa.
If someone is not curious or not funny then someone is tall.
Everyone who is both quiet and not quiet is kind or generous and vice versa.
Everyone who is either not humble or calm is both generous and funny.
Everyone who is happy is brave.
If... | Paul is humble. | neutral | (![X]:((~brave(X)|~wise(X))<=>(happy(X)<~>rich(X))))&
((?[X]:((~curious(X)|~funny(X))))=>(?[X]:(tall(X))))&
(![X]:((quiet(X)&~quiet(X))<=>(kind(X)|generous(X))))&
(![X]:((~humble(X)<~>calm(X))=>(generous(X)&funny(X))))&
(![X]:(happy(X)=>brave(X)))&
(((creative(alice)<~>~strong(alice)))=>(~patient(paul)))&
((?[X]:((brav... | humble(paul) | [] | null | 0 |
If someone is not rich or old then someone is not calm or not wise.
Everyone who is not creative or not strong is both not tall and kind and vice versa.
Everyone who is both not happy and humble is both curious and not rich and vice versa.
Everyone who is brave is not curious or generous.
Everyone who is not patient is... | Fred is not generous. | entailment | ((?[X]:((~rich(X)|old(X))))=>(?[X]:((~calm(X)|~wise(X)))))&
(![X]:((~creative(X)|~strong(X))<=>(~tall(X)&kind(X))))&
(![X]:((~happy(X)&humble(X))<=>(curious(X)&~rich(X))))&
(![X]:(brave(X)=>(~curious(X)|generous(X))))&
(![X]:(~patient(X)<=>(humble(X)|~humble(X))))&
(((~calm(john)<~>~happy(john)))<=>(rich(paul)))&
((?[X... | ~generous(fred) | [
"p1",
"p4",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 839087117891057085330645
% SZS output start Proof for 839087117891057085330645
2. ! [X0] : ((~strong(X0) | ~creative(X0)) <=> (kind(X0) & ~tall(X0))) [input p1]
5. ! [X0] : (~patient(X0) <=> (~humble(X0) | humble(X0))) [input p4]
16. ! [X0] : (~tall(X0) => (~generous(X0) & calm(X0))) [inp... | 0 |
If mary is either tall or not kind then someone is old.
Everyone who is strong or generous is old and vice versa.
Everyone who is both not old and wise is both humble and funny and vice versa.
Everyone who is both generous and not quiet is not happy or not quiet.
If alice is either tall or not humble then alice is eith... | Paul is not generous. | contradiction | (((tall(mary)<~>~kind(mary)))=>(?[X]:(old(X))))&
(![X]:((strong(X)|generous(X))<=>old(X)))&
(![X]:((~old(X)&wise(X))<=>(humble(X)&funny(X))))&
(![X]:((generous(X)&~quiet(X))=>(~happy(X)|~quiet(X))))&
(((tall(alice)<~>~humble(alice)))<=>((~funny(alice)<~>funny(alice))))&
(![X]:((creative(X)|tall(X))<=>(generous(X)&~funn... | ~generous(paul) | [
"p5",
"p6",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9170788274078542497840169
% SZS output start Proof for 9170788274078542497840169
6. ! [X0] : ((tall(X0) | creative(X0)) <=> (~funny(X0) & generous(X0))) [input p5]
7. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~funny(X0) <~> ~tall(X0))) [input p6]
10. ! [X0] : (happy(X0) <=> (~kind(X0) | ~hap... | 0 |
Everyone who is curious is not kind and vice versa.
Everyone who is patient or not happy is strong or generous and vice versa.
If lucy is tall or not kind then fred is wise.
If someone is either not happy or not wise then someone is either patient or not quiet and vice versa.
If someone is either brave or not old then ... | Susan is not kind. | contradiction | (![X]:(curious(X)<=>~kind(X)))&
(![X]:((patient(X)|~happy(X))<=>(strong(X)|generous(X))))&
(((tall(lucy)|~kind(lucy)))=>(wise(fred)))&
((?[X]:((~happy(X)<~>~wise(X))))<=>(?[X]:((patient(X)<~>~quiet(X)))))&
((?[X]:((brave(X)<~>~old(X))))=>(?[X]:(~humble(X))))&
(![X]:((~creative(X)&patient(X))<=>(creative(X)<~>brave(X)))... | ~kind(susan) | [
"p0",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7984582112492617871589749
% SZS output start Proof for 7984582112492617871589749
1. ! [X0] : (curious(X0) <=> ~kind(X0)) [input p0]
13. ! [X0] : ((~creative(X0) & brave(X0)) <=> ~kind(X0)) [input p12]
22. ~brave(susan) <~> ~curious(susan) [input p21]
25. ~kind(susan) [input hypothesis]
37... | 0 |
Everyone who is not generous is not patient and vice versa. If someone is not curious or brave then paul is not quiet or not strong and vice versa. If alice is either not brave or brave then someone is both not happy and not curious and vice versa. If someone is not generous or not curious then someone is not creative.... | Lucy is calm. | neutral | (![X]:(~generous(X)<=>~patient(X)))&
((?[X]:((~curious(X)|brave(X))))<=>((~quiet(paul)|~strong(paul))))&
(((~brave(alice)<~>brave(alice)))<=>(?[X]:((~happy(X)&~curious(X)))))&
((?[X]:((~generous(X)|~curious(X))))=>(?[X]:(~creative(X))))&
(![X]:((~generous(X)|creative(X))=>(happy(X)|~humble(X))))&
(![X]:((wise(X)<~>~ric... | calm(lucy) | [] | null | 0 |
Everyone who is kind or not humble is both old and not tall. Everyone who is strong or old is both not wise and rich and vice versa. Everyone who is calm or tall is strong or calm and vice versa. If someone is either not generous or wise then paul is either not tall or rich. Everyone who is either brave or not rich is ... | John is calm. | entailment | (![X]:((kind(X)|~humble(X))=>(old(X)&~tall(X))))&
(![X]:((strong(X)|old(X))<=>(~wise(X)&rich(X))))&
(![X]:((calm(X)|tall(X))<=>(strong(X)|calm(X))))&
((?[X]:((~generous(X)<~>wise(X))))=>((~tall(paul)<~>rich(paul))))&
(![X]:((brave(X)<~>~rich(X))=>(~happy(X)<~>~strong(X))))&
(![X]:((creative(X)<~>~old(X))=>(brave(X)&~wi... | calm(john) | [
"p0",
"p1",
"p5",
"p6",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7237677356889605456629791
% SZS output start Proof for 7237677356889605456629791
1. ! [X0] : ((~humble(X0) | kind(X0)) => (~tall(X0) & old(X0))) [input p0]
2. ! [X0] : ((old(X0) | strong(X0)) <=> (rich(X0) & ~wise(X0))) [input p1]
6. ! [X0] : ((creative(X0) <~> ~old(X0)) => (~wise(X0) & b... | 0 |
Everyone who is creative is rich and vice versa.
Everyone who is both funny and not generous is rich or not quiet.
Everyone who is both brave and not humble is old or not patient.
Everyone who is not humble is both not quiet and not calm.
Everyone who is either not strong or not generous is not happy or calm and vice v... | Mary is calm. | contradiction | (![X]:(creative(X)<=>rich(X)))&
(![X]:((funny(X)&~generous(X))=>(rich(X)|~quiet(X))))&
(![X]:((brave(X)&~humble(X))=>(old(X)|~patient(X))))&
(![X]:(~humble(X)=>(~quiet(X)&~calm(X))))&
(![X]:((~strong(X)<~>~generous(X))<=>(~happy(X)|calm(X))))&
(![X]:((~humble(X)&~funny(X))<=>(rich(X)<~>~creative(X))))&
(![X]:((calm(X)|... | calm(mary) | [
"p0",
"p3",
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7546707534703990716309540
% SZS output start Proof for 7546707534703990716309540
1. ! [X0] : (creative(X0) <=> rich(X0)) [input p0]
4. ! [X0] : (~humble(X0) => (~calm(X0) & ~quiet(X0))) [input p3]
6. ! [X0] : ((~funny(X0) & ~humble(X0)) <=> (rich(X0) <~> ~creative(X0))) [input p5]
9. ! [X... | 0 |
Everyone who is generous is both tall and not happy.
Everyone who is both funny and brave is not old and vice versa.
Everyone who is not generous is not happy and vice versa.
If someone is both not brave and not strong then lucy is either not tall or rich and vice versa.
Everyone who is old or not calm is tall or quiet... | Mary is kind. | entailment | (![X]:(generous(X)=>(tall(X)&~happy(X))))&
(![X]:((funny(X)&brave(X))<=>~old(X)))&
(![X]:(~generous(X)<=>~happy(X)))&
((?[X]:((~brave(X)&~strong(X))))<=>((~tall(lucy)<~>rich(lucy))))&
(![X]:((old(X)|~calm(X))=>(tall(X)|quiet(X))))&
(![X]:((~wise(X)&old(X))<=>(~rich(X)<~>funny(X))))&
(![X]:((calm(X)<~>~generous(X))<=>(~... | kind(mary) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1001657342304601343347878
% SZS output start Proof for 1001657342304601343347878
1. ! [X0] : (generous(X0) => (~happy(X0) & tall(X0))) [input p0]
2. ! [X0] : ((brave(X0) & funny(X0)) <=> ~old(X0)) [input p1]
3. ! [X0] : (~generous(X0) <=> ~happy(X0)) [input p2]
7. ! [X0] : ((calm(X0) <~> ... | 0 |
Everyone who is both funny and not kind is funny or not rich. If paul is not rich then paul is not strong or patient and vice versa. Everyone who is both strong and not patient is both creative and happy and vice versa. Everyone who is both not rich and tall is both not old and old. If susan is either generous or old t... | Alice is generous. | neutral | (![X]:((funny(X)&~kind(X))=>(funny(X)|~rich(X))))&
((~rich(paul))<=>((~strong(paul)|patient(paul))))&
(![X]:((strong(X)&~patient(X))<=>(creative(X)&happy(X))))&
(![X]:((~rich(X)&tall(X))=>(~old(X)&old(X))))&
(((generous(susan)<~>old(susan)))=>((strong(lucy)&~curious(lucy))))&
((~creative(lucy))=>(?[X]:(tall(X))))&
(![X... | generous(alice) | [] | null | 0 |
If someone is patient then lucy is either generous or wise and vice versa. If paul is kind or not humble then someone is either brave or generous and vice versa. If someone is both not curious and tall then lucy is either tall or not kind. If fred is kind or not happy then someone is tall or not curious. If mary is eit... | Fred is patient. | entailment | ((?[X]:(patient(X)))<=>((generous(lucy)<~>wise(lucy))))&
(((kind(paul)|~humble(paul)))<=>(?[X]:((brave(X)<~>generous(X)))))&
((?[X]:((~curious(X)&tall(X))))=>((tall(lucy)<~>~kind(lucy))))&
(((kind(fred)|~happy(fred)))=>(?[X]:((tall(X)|~curious(X)))))&
(((kind(mary)<~>~rich(mary)))=>((generous(fred)<~>rich(fred))))&
(![... | patient(fred) | [
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2960223472201425590272615
% SZS output start Proof for 2960223472201425590272615
7. ! [X0] : (~rich(X0) <=> (wise(X0) | creative(X0))) [input p6]
9. ! [X0] : (brave(X0) <=> (~wise(X0) | ~calm(X0))) [input p8]
10. ? [X0] : ~patient(X0) <=> (~patient(fred) <~> brave(fred)) [input p9]
12. ! ... | 0 |
Everyone who is both curious and creative is generous or not humble. Everyone who is both not patient and not rich is funny and vice versa. If susan is both humble and kind then someone is both not rich and not curious and vice versa. If john is either not funny or funny then paul is either not rich or creative and vic... | Mary is patient. | neutral | (![X]:((curious(X)&creative(X))=>(generous(X)|~humble(X))))&
(![X]:((~patient(X)&~rich(X))<=>funny(X)))&
(((humble(susan)&kind(susan)))<=>(?[X]:((~rich(X)&~curious(X)))))&
(((~funny(john)<~>funny(john)))<=>((~rich(paul)<~>creative(paul))))&
(![X]:(generous(X)<=>(~humble(X)&~generous(X))))&
((?[X]:((kind(X)<~>calm(X))))... | patient(mary) | [] | null | 0 |
If paul is both not funny and not generous then mary is either not tall or tall. If lucy is curious then john is both not rich and not tall and vice versa. If someone is either happy or tall then paul is not old or not quiet. If susan is tall or not brave then paul is either not old or quiet. Everyone who is either not... | Paul is not funny. | neutral | (((~funny(paul)&~generous(paul)))=>((~tall(mary)<~>tall(mary))))&
((curious(lucy))<=>((~rich(john)&~tall(john))))&
((?[X]:((happy(X)<~>tall(X))))=>((~old(paul)|~quiet(paul))))&
(((tall(susan)|~brave(susan)))=>((~old(paul)<~>quiet(paul))))&
(![X]:((~curious(X)<~>~humble(X))<=>(kind(X)|curious(X))))&
(![X]:((curious(X)|b... | ~funny(paul) | [] | null | 0 |
If lucy is both not kind and generous then someone is kind or funny. Everyone who is not generous or not rich is not wise and vice versa. Everyone who is not calm is not quiet or not creative and vice versa. Everyone who is either funny or not brave is not quiet. Everyone who is old is either wise or not kind and vice ... | John is not kind. | entailment | (((~kind(lucy)&generous(lucy)))=>(?[X]:((kind(X)|funny(X)))))&
(![X]:((~generous(X)|~rich(X))<=>~wise(X)))&
(![X]:(~calm(X)<=>(~quiet(X)|~creative(X))))&
(![X]:((funny(X)<~>~brave(X))=>~quiet(X)))&
(![X]:(old(X)<=>(wise(X)<~>~kind(X))))&
(![X]:((~creative(X)|calm(X))<=>(quiet(X)&~happy(X))))&
(![X]:((wise(X)<~>~generou... | ~kind(john) | [
"p1",
"p4",
"p6",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1587634672232132426588446
% SZS output start Proof for 1587634672232132426588446
2. ! [X0] : ((~rich(X0) | ~generous(X0)) <=> ~wise(X0)) [input p1]
5. ! [X0] : (old(X0) <=> (wise(X0) <~> ~kind(X0))) [input p4]
7. ! [X0] : ((wise(X0) <~> ~generous(X0)) <=> (old(X0) & tall(X0))) [input p6]
... | 0 |
If paul is both curious and not quiet then susan is not kind and vice versa.
If someone is either generous or humble then someone is both kind and not funny.
Everyone who is not happy or strong is either not strong or not patient.
Everyone who is not funny is either not patient or strong.
Everyone who is not humble is ... | Fred is not generous. | entailment | (((curious(paul)&~quiet(paul)))<=>(~kind(susan)))&
((?[X]:((generous(X)<~>humble(X))))=>(?[X]:((kind(X)&~funny(X)))))&
(![X]:((~happy(X)|strong(X))=>(~strong(X)<~>~patient(X))))&
(![X]:(~funny(X)=>(~patient(X)<~>strong(X))))&
(![X]:(~humble(X)=>(calm(X)|wise(X))))&
(![X]:(brave(X)=>~creative(X)))&
(![X]:(~happy(X)<=>(~... | ~generous(fred) | [
"p2",
"p3",
"p6",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 582905787307730823760824
% SZS output start Proof for 582905787307730823760824
3. ! [X0] : ((strong(X0) | ~happy(X0)) => (~strong(X0) <~> ~patient(X0))) [input p2]
4. ! [X0] : (~funny(X0) => (~patient(X0) <~> strong(X0))) [input p3]
7. ! [X0] : (~happy(X0) <=> (~calm(X0) | ~strong(X0))) [... | 0 |
Everyone who is either quiet or not funny is both kind and not patient and vice versa.
If mary is rich or not generous then susan is happy and vice versa.
If fred is either happy or not kind then alice is generous.
Everyone who is either not rich or not tall is not creative and vice versa.
Everyone who is both rich and... | Lucy is not rich. | entailment | (![X]:((quiet(X)<~>~funny(X))<=>(kind(X)&~patient(X))))&
(((rich(mary)|~generous(mary)))<=>(happy(susan)))&
(((happy(fred)<~>~kind(fred)))=>(generous(alice)))&
(![X]:((~rich(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((rich(X)&humble(X))<=>(~humble(X)|~calm(X))))&
(![X]:(happy(X)=>(~curious(X)|~kind(X))))&
((?[X]:((rich(X)... | ~rich(lucy) | [
"p0",
"p4",
"p11",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5694453399564850131826462
% SZS output start Proof for 5694453399564850131826462
1. ! [X0] : ((quiet(X0) <~> ~funny(X0)) <=> (~patient(X0) & kind(X0))) [input p0]
5. ! [X0] : ((humble(X0) & rich(X0)) <=> (~calm(X0) | ~humble(X0))) [input p4]
12. ! [X0] : ((happy(X0) & funny(X0)) <=> (calm... | 0 |
If someone is either creative or not patient then someone is calm or not old.
Everyone who is either wise or not patient is either not curious or patient and vice versa.
Everyone who is either not kind or not creative is old or calm.
If mary is both not brave and quiet then someone is either old or not happy.
Everyone ... | John is patient. | contradiction | ((?[X]:((creative(X)<~>~patient(X))))=>(?[X]:((calm(X)|~old(X)))))&
(![X]:((wise(X)<~>~patient(X))<=>(~curious(X)<~>patient(X))))&
(![X]:((~kind(X)<~>~creative(X))=>(old(X)|calm(X))))&
(((~brave(mary)&quiet(mary)))=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:(~brave(X)=>(~kind(X)|strong(X))))&
((?[X]:((generous(X)<~>~tall(X... | patient(john) | [
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1838802749830400237478043
% SZS output start Proof for 1838802749830400237478043
11. ! [X0] : ((~curious(X0) | ~rich(X0)) => tall(X0)) [input p10]
16. ! [X0] : ((rich(X0) | tall(X0)) => (~happy(X0) & ~patient(X0))) [input p15]
24. patient(john) [input hypothesis]
37. ! [X0] : (tall(X0) | ... | 0 |
Everyone who is wise or strong is both calm and creative and vice versa. Everyone who is old or not creative is not curious or not humble and vice versa. Everyone who is not brave is both not humble and wise. Everyone who is either happy or old is either not humble or not tall. If someone is either calm or not strong t... | John is not generous. | neutral | (![X]:((wise(X)|strong(X))<=>(calm(X)&creative(X))))&
(![X]:((old(X)|~creative(X))<=>(~curious(X)|~humble(X))))&
(![X]:(~brave(X)=>(~humble(X)&wise(X))))&
(![X]:((happy(X)<~>old(X))=>(~humble(X)<~>~tall(X))))&
((?[X]:((calm(X)<~>~strong(X))))<=>(?[X]:(~quiet(X))))&
(![X]:((happy(X)&funny(X))=>(generous(X)<~>brave(X))))... | ~generous(john) | [] | null | 0 |
Everyone who is not strong is not tall or not generous.
Everyone who is either patient or kind is not strong or not patient and vice versa.
If alice is both not humble and patient then someone is both old and not strong.
If susan is not humble then john is either not strong or calm.
Everyone who is not strong or curiou... | Lucy is not generous. | contradiction | (![X]:(~strong(X)=>(~tall(X)|~generous(X))))&
(![X]:((patient(X)<~>kind(X))<=>(~strong(X)|~patient(X))))&
(((~humble(alice)&patient(alice)))=>(?[X]:((old(X)&~strong(X)))))&
((~humble(susan))=>((~strong(john)<~>calm(john))))&
(![X]:((~strong(X)|curious(X))=>(wise(X)<~>generous(X))))&
((?[X]:(curious(X)))<=>(?[X]:((~happ... | ~generous(lucy) | [
"p1",
"p7",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7044900490697951552390114
% SZS output start Proof for 7044900490697951552390114
2. ! [X0] : ((patient(X0) <~> kind(X0)) <=> (~patient(X0) | ~strong(X0))) [input p1]
8. ! [X0] : ((~humble(X0) | ~strong(X0)) <=> (rich(X0) & quiet(X0))) [input p7]
12. ! [X0] : (generous(X0) <=> quiet(X0)) [... | 0 |
Everyone who is both not calm and not rich is not funny or not brave.
Everyone who is either not happy or kind is both not calm and not strong.
Everyone who is either not funny or not rich is not rich or calm.
If someone is either not brave or curious then someone is calm or not happy and vice versa.
If paul is quiet t... | Alice is not generous. | neutral | (![X]:((~calm(X)&~rich(X))=>(~funny(X)|~brave(X))))&
(![X]:((~happy(X)<~>kind(X))=>(~calm(X)&~strong(X))))&
(![X]:((~funny(X)<~>~rich(X))=>(~rich(X)|calm(X))))&
((?[X]:((~brave(X)<~>curious(X))))<=>(?[X]:((calm(X)|~happy(X)))))&
((quiet(paul))<=>(?[X]:((quiet(X)|~old(X)))))&
((?[X]:((patient(X)<~>~generous(X))))=>((gen... | ~generous(alice) | [] | null | 0 |
If someone is not strong or not humble then someone is either curious or kind. If alice is either quiet or not brave then susan is wise or not brave. Everyone who is not strong or not wise is calm or not rich. Everyone who is not happy is not creative and vice versa. If alice is not calm then someone is humble and vice... | Susan is not happy. | neutral | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((curious(X)<~>kind(X)))))&
(((quiet(alice)<~>~brave(alice)))=>((wise(susan)|~brave(susan))))&
(![X]:((~strong(X)|~wise(X))=>(calm(X)|~rich(X))))&
(![X]:(~happy(X)<=>~creative(X)))&
((~calm(alice))<=>(?[X]:(humble(X))))&
(![X]:(~generous(X)=>(~patient(X)|~calm(X))))&
(((~calm(pa... | ~happy(susan) | [] | null | 0 |
If someone is both not tall and generous then paul is not tall.
Everyone who is tall or wise is both old and not creative.
Everyone who is both not curious and not rich is not calm or not creative.
Everyone who is either tall or patient is both not quiet and old and vice versa.
Everyone who is either happy or not gener... | Susan is not kind. | contradiction | ((?[X]:((~tall(X)&generous(X))))=>(~tall(paul)))&
(![X]:((tall(X)|wise(X))=>(old(X)&~creative(X))))&
(![X]:((~curious(X)&~rich(X))=>(~calm(X)|~creative(X))))&
(![X]:((tall(X)<~>patient(X))<=>(~quiet(X)&old(X))))&
(![X]:((happy(X)<~>~generous(X))<=>~kind(X)))&
(![X]:(~old(X)<=>wise(X)))&
(![X]:((quiet(X)|funny(X))<=>(ca... | ~kind(susan) | [
"p1",
"p5",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4633699847855209552542560
% SZS output start Proof for 4633699847855209552542560
2. ! [X0] : ((wise(X0) | tall(X0)) => (~creative(X0) & old(X0))) [input p1]
6. ! [X0] : (~old(X0) <=> wise(X0)) [input p5]
8. ! [X0] : ((~brave(X0) | brave(X0)) => (rich(X0) <~> wise(X0))) [input p7]
12. ! [X... | 0 |
If someone is both humble and not brave then someone is both generous and not happy and vice versa.
If mary is both calm and not strong then alice is both not old and not wise.
If someone is not quiet or strong then someone is patient or humble and vice versa.
Everyone who is creative is not funny.
Everyone who is calm... | Susan is curious. | neutral | ((?[X]:((humble(X)&~brave(X))))<=>(?[X]:((generous(X)&~happy(X)))))&
(((calm(mary)&~strong(mary)))=>((~old(alice)&~wise(alice))))&
((?[X]:((~quiet(X)|strong(X))))<=>(?[X]:((patient(X)|humble(X)))))&
(![X]:(creative(X)=>~funny(X)))&
(![X]:(calm(X)<=>(wise(X)&~kind(X))))&
(((generous(lucy)&~kind(lucy)))=>(?[X]:((strong(X... | curious(susan) | [] | null | 0 |
Everyone who is either calm or not calm is either not curious or not calm. If someone is not old then susan is either strong or generous. Everyone who is brave or not curious is old and vice versa. Everyone who is either not quiet or not wise is both not wise and generous. If someone is not humble or not generous then ... | Mary is not rich. | contradiction | (![X]:((calm(X)<~>~calm(X))=>(~curious(X)<~>~calm(X))))&
((?[X]:(~old(X)))=>((strong(susan)<~>generous(susan))))&
(![X]:((brave(X)|~curious(X))<=>old(X)))&
(![X]:((~quiet(X)<~>~wise(X))=>(~wise(X)&generous(X))))&
((?[X]:((~humble(X)|~generous(X))))=>((~tall(mary)&~calm(mary))))&
(![X]:((~brave(X)|generous(X))=>happy(X)... | ~rich(mary) | [
"p0",
"p4",
"p5",
"p6",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 285908515189028455467848
% SZS output start Proof for 285908515189028455467848
1. ! [X0] : ((calm(X0) <~> ~calm(X0)) => (~curious(X0) <~> ~calm(X0))) [input p0]
5. ? [X0] : (~generous(X0) | ~humble(X0)) => (~calm(mary) & ~tall(mary)) [input p4]
6. ! [X0] : ((generous(X0) | ~brave(X0)) => ... | 0 |
If someone is either patient or not patient then someone is not calm or brave and vice versa. Everyone who is either calm or not wise is not kind or not old and vice versa. Everyone who is both creative and calm is not patient or patient. Everyone who is both not funny and not calm is both not funny and not curious and... | Paul is not generous. | neutral | ((?[X]:((patient(X)<~>~patient(X))))<=>(?[X]:((~calm(X)|brave(X)))))&
(![X]:((calm(X)<~>~wise(X))<=>(~kind(X)|~old(X))))&
(![X]:((creative(X)&calm(X))=>(~patient(X)|patient(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~funny(X)&~curious(X))))&
(![X]:((~patient(X)|humble(X))<=>~creative(X)))&
(![X]:((~happy(X)&~old(X))<=>(calm... | ~generous(paul) | [] | 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 ... | John is funny. | 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)&... | funny(john) | [] | null | 0 |
If susan is calm or not humble then lucy is both rich and calm.
If mary is either not tall or calm then someone is both not creative and wise.
Everyone who is generous or quiet is both humble and not patient and vice versa.
Everyone who is strong or not creative is funny or not humble and vice versa.
Everyone who is no... | Fred is not old. | contradiction | (((calm(susan)|~humble(susan)))=>((rich(lucy)&calm(lucy))))&
(((~tall(mary)<~>calm(mary)))=>(?[X]:((~creative(X)&wise(X)))))&
(![X]:((generous(X)|quiet(X))<=>(humble(X)&~patient(X))))&
(![X]:((strong(X)|~creative(X))<=>(funny(X)|~humble(X))))&
(![X]:((~rich(X)|~curious(X))<=>happy(X)))&
(((~generous(fred)&wise(fred)))<... | ~old(fred) | [
"p2",
"p6",
"p7",
"p9",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6992440725074661955430213
% SZS output start Proof for 6992440725074661955430213
3. ! [X0] : ((quiet(X0) | generous(X0)) <=> (~patient(X0) & humble(X0))) [input p2]
7. (calm(john) | ~kind(john)) <=> (quiet(mary) & ~kind(mary)) [input p6]
8. ! [X0] : ((humble(X0) | brave(X0)) <=> ~generous... | 0 |
Everyone who is not tall is either wise or not calm.
If fred is both not funny and happy then paul is both kind and not kind.
Everyone who is either strong or not calm is patient and vice versa.
If susan is both rich and not kind then someone is both wise and humble and vice versa.
Everyone who is either not wise or ge... | Paul is not brave. | neutral | (![X]:(~tall(X)=>(wise(X)<~>~calm(X))))&
(((~funny(fred)&happy(fred)))=>((kind(paul)&~kind(paul))))&
(![X]:((strong(X)<~>~calm(X))<=>patient(X)))&
(((rich(susan)&~kind(susan)))<=>(?[X]:((wise(X)&humble(X)))))&
(![X]:((~wise(X)<~>generous(X))<=>(~brave(X)<~>kind(X))))&
(![X]:((~calm(X)&~patient(X))=>brave(X)))&
(![X]:((... | ~brave(paul) | [] | null | 0 |
If paul is not tall or strong then fred is either wise or rich.
Everyone who is both generous and patient is both wise and not curious.
Everyone who is both strong and old is not wise or not curious.
If someone is old then susan is either curious or not old and vice versa.
Everyone who is either not humble or tall is b... | Lucy is tall. | neutral | (((~tall(paul)|strong(paul)))=>((wise(fred)<~>rich(fred))))&
(![X]:((generous(X)&patient(X))=>(wise(X)&~curious(X))))&
(![X]:((strong(X)&old(X))=>(~wise(X)|~curious(X))))&
((?[X]:(old(X)))<=>((curious(susan)<~>~old(susan))))&
(![X]:((~humble(X)<~>tall(X))<=>(kind(X)&funny(X))))&
(((creative(john)<~>~happy(john)))=>((~g... | tall(lucy) | [] | null | 0 |
If mary is not funny then someone is both not calm and patient and vice versa.
Everyone who is both patient and not curious is either not kind or wise and vice versa.
If susan is not brave then susan is both not brave and not funny.
If someone is not patient or generous then someone is both creative and wise and vice v... | Mary is generous. | contradiction | ((~funny(mary))<=>(?[X]:((~calm(X)&patient(X)))))&
(![X]:((patient(X)&~curious(X))<=>(~kind(X)<~>wise(X))))&
((~brave(susan))=>((~brave(susan)&~funny(susan))))&
((?[X]:((~patient(X)|generous(X))))<=>(?[X]:((creative(X)&wise(X)))))&
((~strong(mary))=>(?[X]:((old(X)&wise(X)))))&
(![X]:((~kind(X)|~curious(X))=>(calm(X)<~>... | generous(mary) | [
"p1",
"p3",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2058777891076039594685746
% SZS output start Proof for 2058777891076039594685746
2. ! [X0] : ((~curious(X0) & patient(X0)) <=> (~kind(X0) <~> wise(X0))) [input p1]
4. ? [X0] : (generous(X0) | ~patient(X0)) <=> ? [X0] : (wise(X0) & creative(X0)) [input p3]
8. ! [X0] : ((~calm(X0) <~> patie... | 0 |
If someone is funny or not calm then alice is not rich or strong and vice versa. Everyone who is both not creative and not funny is either wise or funny and vice versa. If paul is not old or brave then someone is not calm and vice versa. If lucy is brave or not rich then mary is either not quiet or generous and vice ve... | Lucy is tall. | neutral | ((?[X]:((funny(X)|~calm(X))))<=>((~rich(alice)|strong(alice))))&
(![X]:((~creative(X)&~funny(X))<=>(wise(X)<~>funny(X))))&
(((~old(paul)|brave(paul)))<=>(?[X]:(~calm(X))))&
(((brave(lucy)|~rich(lucy)))<=>((~quiet(mary)<~>generous(mary))))&
(![X]:((~wise(X)|~funny(X))=>(generous(X)<~>rich(X))))&
(![X]:((~curious(X)<~>pa... | tall(lucy) | [] | null | 0 |
If john is both patient and rich then john is quiet or not happy and vice versa.
If someone is both not generous and patient then someone is not patient or not generous and vice versa.
Everyone who is both not patient and rich is both generous and happy.
Everyone who is both not tall and tall is either not humble or no... | Susan is kind. | neutral | (((patient(john)&rich(john)))<=>((quiet(john)|~happy(john))))&
((?[X]:((~generous(X)&patient(X))))<=>(?[X]:((~patient(X)|~generous(X)))))&
(![X]:((~patient(X)&rich(X))=>(generous(X)&happy(X))))&
(![X]:((~tall(X)&tall(X))<=>(~humble(X)<~>~generous(X))))&
((~tall(fred))=>((~old(susan)&~curious(susan))))&
(![X]:(funny(X)=... | kind(susan) | [] | null | 0 |
Everyone who is either tall or not wise is curious or happy and vice versa. Everyone who is not tall is wise or quiet. Everyone who is both not creative and not quiet is not strong or old and vice versa. If someone is both not old and kind then someone is both not funny and funny. If someone is either calm or kind then... | Alice is not happy. | entailment | (![X]:((tall(X)<~>~wise(X))<=>(curious(X)|happy(X))))&
(![X]:(~tall(X)=>(wise(X)|quiet(X))))&
(![X]:((~creative(X)&~quiet(X))<=>(~strong(X)|old(X))))&
((?[X]:((~old(X)&kind(X))))=>(?[X]:((~funny(X)&funny(X)))))&
((?[X]:((calm(X)<~>kind(X))))<=>(?[X]:(curious(X))))&
(![X]:((brave(X)<~>~strong(X))=>tall(X)))&
(![X]:((bra... | ~happy(alice) | [
"p2",
"p4",
"p6",
"p9",
"p10",
"p11",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4170831144195975021730941
% SZS output start Proof for 4170831144195975021730941
3. ! [X0] : ((~quiet(X0) & ~creative(X0)) <=> (old(X0) | ~strong(X0))) [input p2]
5. ? [X0] : (calm(X0) <~> kind(X0)) <=> ? [X0] : curious(X0) [input p4]
7. ! [X0] : ((wise(X0) | brave(X0)) <=> (~strong(X0) &... | 0 |
Everyone who is both creative and not rich is tall.
Everyone who is both old and brave is both old and not wise and vice versa.
Everyone who is rich is wise or not humble and vice versa.
If lucy is either creative or not generous then someone is both tall and rich and vice versa.
If someone is not generous or old then ... | Susan is not curious. | neutral | (![X]:((creative(X)&~rich(X))=>tall(X)))&
(![X]:((old(X)&brave(X))<=>(old(X)&~wise(X))))&
(![X]:(rich(X)<=>(wise(X)|~humble(X))))&
(((creative(lucy)<~>~generous(lucy)))<=>(?[X]:((tall(X)&rich(X)))))&
((?[X]:((~generous(X)|old(X))))<=>(?[X]:((calm(X)&humble(X)))))&
(![X]:((~generous(X)<~>~funny(X))<=>(~tall(X)|humble(X)... | ~curious(susan) | [] | null | 0 |
Everyone who is either not funny or strong is not old.
Everyone who is either rich or not calm is not funny or not generous.
If someone is both funny and generous then someone is both not kind and quiet.
If fred is both funny and not strong then someone is either brave or not generous and vice versa.
Everyone who is no... | John is humble. | contradiction | (![X]:((~funny(X)<~>strong(X))=>~old(X)))&
(![X]:((rich(X)<~>~calm(X))=>(~funny(X)|~generous(X))))&
((?[X]:((funny(X)&generous(X))))=>(?[X]:((~kind(X)&quiet(X)))))&
(((funny(fred)&~strong(fred)))<=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((~tall(X)|~calm(X))=>(~happy(X)<~>happy(X))))&
(![X]:(tall(X)<=>(~rich(X)<~>~f... | humble(john) | [
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1949168788914732540269493
% SZS output start Proof for 1949168788914732540269493
7. ! [X0] : ((~generous(X0) & brave(X0)) <=> humble(X0)) [input p6]
9. ! [X0] : (strong(X0) <=> (~brave(X0) & humble(X0))) [input p8]
10. ! [X0] : (~generous(X0) <=> (strong(X0) | ~wise(X0))) [input p9]
12. !... | 0 |
Everyone who is either rich or tall is either not creative or creative and vice versa.
Everyone who is not kind or not humble is rich.
Everyone who is happy is both quiet and not calm and vice versa.
If someone is kind then john is both creative and not patient and vice versa.
Everyone who is not old is brave or not ta... | Mary is funny. | neutral | (![X]:((rich(X)<~>tall(X))<=>(~creative(X)<~>creative(X))))&
(![X]:((~kind(X)|~humble(X))=>rich(X)))&
(![X]:(happy(X)<=>(quiet(X)&~calm(X))))&
((?[X]:(kind(X)))<=>((creative(john)&~patient(john))))&
(![X]:(~old(X)=>(brave(X)|~tall(X))))&
((generous(john))=>((~tall(paul)|~kind(paul))))&
((?[X]:((wise(X)&~curious(X))))<=... | funny(mary) | [] | null | 0 |
If someone is both humble and not humble then mary is either calm or funny.
Everyone who is funny or not happy is not humble and vice versa.
Everyone who is not happy or creative is both funny and happy and vice versa.
If john is creative then paul is not patient and vice versa.
If someone is both not curious and not w... | Paul is quiet. | entailment | ((?[X]:((humble(X)&~humble(X))))=>((calm(mary)<~>funny(mary))))&
(![X]:((funny(X)|~happy(X))<=>~humble(X)))&
(![X]:((~happy(X)|creative(X))<=>(funny(X)&happy(X))))&
((creative(john))<=>(~patient(paul)))&
((?[X]:((~curious(X)&~wise(X))))<=>(?[X]:((~tall(X)<~>~generous(X)))))&
(![X]:((~brave(X)|~humble(X))<=>(~strong(X)<... | quiet(paul) | [
"p2",
"p6",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 309296571109990177365206
% SZS output start Proof for 309296571109990177365206
3. ! [X0] : ((creative(X0) | ~happy(X0)) <=> (happy(X0) & funny(X0))) [input p2]
7. ! [X0] : ((~old(X0) & ~calm(X0)) <=> (rich(X0) | ~curious(X0))) [input p6]
16. ! [X0] : (calm(X0) <=> (quiet(X0) <~> happy(X0)... | 0 |
If someone is curious then fred is not happy and vice versa.
Everyone who is tall is either humble or not rich and vice versa.
If someone is not creative then someone is both not funny and curious.
If someone is not rich or curious then someone is both brave and not brave.
Everyone who is not happy or not patient is ha... | Susan is not curious. | entailment | ((?[X]:(curious(X)))<=>(~happy(fred)))&
(![X]:(tall(X)<=>(humble(X)<~>~rich(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~funny(X)&curious(X)))))&
((?[X]:((~rich(X)|curious(X))))=>(?[X]:((brave(X)&~brave(X)))))&
(![X]:((~happy(X)|~patient(X))<=>happy(X)))&
((?[X]:(~brave(X)))<=>((~funny(lucy)&~tall(lucy))))&
((~happy(john))=... | ~curious(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2792398279135137205423599
% SZS output start Proof for 2792398279135137205423599
4. ? [X0] : (curious(X0) | ~rich(X0)) => ? [X0] : (~brave(X0) & brave(X0)) [input p3]
24. curious(susan) [input hypothesis]
26. ? [X0] : (curious(X0) | ~rich(X0)) => ? [X1] : (~brave(X1) & brave(X1)) [rectify... | 0 |
If susan is either not generous or not patient then someone is happy and vice versa.
Everyone who is not generous or not quiet is old.
Everyone who is either not old or humble is both happy and not funny and vice versa.
Everyone who is both funny and calm is strong and vice versa.
If mary is both tall and not quiet the... | Mary is patient. | entailment | (((~generous(susan)<~>~patient(susan)))<=>(?[X]:(happy(X))))&
(![X]:((~generous(X)|~quiet(X))=>old(X)))&
(![X]:((~old(X)<~>humble(X))<=>(happy(X)&~funny(X))))&
(![X]:((funny(X)&calm(X))<=>strong(X)))&
(((tall(mary)&~quiet(mary)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((patient(X)&strong(X))=>~kind(X)))&
((?[X]:((~quiet... | patient(mary) | [
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2458397112712781648332426
% SZS output start Proof for 2458397112712781648332426
9. ! [X0] : (generous(X0) <=> (~patient(X0) | kind(X0))) [input p8]
24. ~generous(mary) [input p23]
25. ~patient(mary) [input hypothesis]
58. ! [X0] : ((generous(X0) | (patient(X0) & ~kind(X0))) & ((~patient(... | 0 |
If someone is either humble or not calm then someone is not curious and vice versa. Everyone who is generous is both not generous and funny. If fred is creative or not happy then lucy is not curious or not humble and vice versa. If someone is humble then mary is both not calm and curious and vice versa. Everyone who is... | Susan is not rich. | entailment | ((?[X]:((humble(X)<~>~calm(X))))<=>(?[X]:(~curious(X))))&
(![X]:(generous(X)=>(~generous(X)&funny(X))))&
(((creative(fred)|~happy(fred)))<=>((~curious(lucy)|~humble(lucy))))&
((?[X]:(humble(X)))<=>((~calm(mary)&curious(mary))))&
(![X]:(~funny(X)=>brave(X)))&
(![X]:((~brave(X)<~>~rich(X))=>(~patient(X)&~generous(X))))&
... | ~rich(susan) | [
"p6",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8062157717478618255596831
% SZS output start Proof for 8062157717478618255596831
7. ! [X0] : ((~brave(X0) & tall(X0)) <=> ~tall(X0)) [input p6]
9. ! [X0] : ((strong(X0) | brave(X0)) => (kind(X0) & happy(X0))) [input p8]
11. wise(susan) <=> ~happy(susan) [input p10]
14. ! [X0] : ((wise(X0)... | 0 |
If someone is humble or not kind then mary is not wise or not rich.
Everyone who is both not tall and not rich is not happy and vice versa.
Everyone who is both not happy and patient is both brave and not brave.
If someone is not brave or generous then lucy is not tall and vice versa.
If someone is both not tall and ol... | Lucy is not happy. | contradiction | ((?[X]:((humble(X)|~kind(X))))=>((~wise(mary)|~rich(mary))))&
(![X]:((~tall(X)&~rich(X))<=>~happy(X)))&
(![X]:((~happy(X)&patient(X))=>(brave(X)&~brave(X))))&
((?[X]:((~brave(X)|generous(X))))<=>(~tall(lucy)))&
((?[X]:((~tall(X)&old(X))))<=>(?[X]:((old(X)&~wise(X)))))&
((?[X]:((~brave(X)<~>funny(X))))=>(~humble(lucy)))... | ~happy(lucy) | [
"p1",
"p5",
"p7",
"p11",
"p13",
"p14",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6617334651235456865548067
% SZS output start Proof for 6617334651235456865548067
2. ! [X0] : ((~rich(X0) & ~tall(X0)) <=> ~happy(X0)) [input p1]
6. ? [X0] : (~brave(X0) <~> funny(X0)) => ~humble(lucy) [input p5]
8. (rich(lucy) | ~creative(lucy)) <=> ? [X0] : (~calm(X0) <~> funny(X0)) [inp... | 0 |
If john is not quiet then alice is not patient and vice versa. If someone is patient then john is either not old or brave and vice versa. If someone is both kind and patient then someone is not funny or wise and vice versa. Everyone who is not strong is both not old and patient and vice versa. Everyone who is not stron... | Mary is not funny. | entailment | ((~quiet(john))<=>(~patient(alice)))&
((?[X]:(patient(X)))<=>((~old(john)<~>brave(john))))&
((?[X]:((kind(X)&patient(X))))<=>(?[X]:((~funny(X)|wise(X)))))&
(![X]:(~strong(X)<=>(~old(X)&patient(X))))&
(![X]:(~strong(X)<=>calm(X)))&
(((~brave(alice)&~tall(alice)))=>(?[X]:((creative(X)|brave(X)))))&
(![X]:((humble(X)<~>ge... | ~funny(mary) | [
"p1",
"p3",
"p4",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7101798655363225835897759
% SZS output start Proof for 7101798655363225835897759
2. ? [X0] : patient(X0) <=> (~old(john) <~> brave(john)) [input p1]
4. ! [X0] : (~strong(X0) <=> (patient(X0) & ~old(X0))) [input p3]
5. ! [X0] : (~strong(X0) <=> calm(X0)) [input p4]
10. ! [X0] : ((brave(X0)... | 0 |
Everyone who is either generous or strong is either generous or not old.
Everyone who is both not funny and not strong is not old or brave and vice versa.
If mary is both not funny and not calm then someone is either not curious or humble.
Everyone who is not old is either curious or not kind and vice versa.
If someone... | Paul is old. | entailment | (![X]:((generous(X)<~>strong(X))=>(generous(X)<~>~old(X))))&
(![X]:((~funny(X)&~strong(X))<=>(~old(X)|brave(X))))&
(((~funny(mary)&~calm(mary)))=>(?[X]:((~curious(X)<~>humble(X)))))&
(![X]:(~old(X)<=>(curious(X)<~>~kind(X))))&
((?[X]:(~wise(X)))=>(~creative(mary)))&
((?[X]:((happy(X)<~>~tall(X))))<=>((~humble(paul)&cur... | old(paul) | [
"p0",
"p1",
"p6",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2194852902402815690921951
% SZS output start Proof for 2194852902402815690921951
1. ! [X0] : ((generous(X0) <~> strong(X0)) => (generous(X0) <~> ~old(X0))) [input p0]
2. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> (brave(X0) | ~old(X0))) [input p1]
7. ! [X0] : ((~strong(X0) & wise(X0)) <=> (... | 0 |
If someone is wise or not tall then fred is either generous or patient. Everyone who is either patient or not generous is not humble. If lucy is either not brave or not patient then paul is tall or not happy. If alice is both not patient and not quiet then john is not tall and vice versa. Everyone who is generous is no... | Mary is not brave. | neutral | ((?[X]:((wise(X)|~tall(X))))=>((generous(fred)<~>patient(fred))))&
(![X]:((patient(X)<~>~generous(X))=>~humble(X)))&
(((~brave(lucy)<~>~patient(lucy)))=>((tall(paul)|~happy(paul))))&
(((~patient(alice)&~quiet(alice)))<=>(~tall(john)))&
(![X]:(generous(X)=>(~patient(X)|~calm(X))))&
(((~calm(paul)&~wise(paul)))<=>(?[X]:(... | ~brave(mary) | [] | null | 0 |
If someone is both not brave and not creative then someone is wise and vice versa.
Everyone who is humble is both tall and humble.
Everyone who is both calm and not humble is patient and vice versa.
Everyone who is both happy and not rich is not brave.
If someone is not old or kind then john is either not brave or not ... | Fred is not old. | neutral | ((?[X]:((~brave(X)&~creative(X))))<=>(?[X]:(wise(X))))&
(![X]:(humble(X)=>(tall(X)&humble(X))))&
(![X]:((calm(X)&~humble(X))<=>patient(X)))&
(![X]:((happy(X)&~rich(X))=>~brave(X)))&
((?[X]:((~old(X)|kind(X))))=>((~brave(john)<~>~creative(john))))&
((~wise(paul))=>(~calm(fred)))&
(((funny(mary)&~tall(mary)))<=>(?[X]:((~... | ~old(fred) | [] | null | 0 |
Everyone who is either not quiet or not kind is patient or old and vice versa. If someone is both not rich and not kind then susan is both patient and not calm. Everyone who is not happy is either kind or not funny and vice versa. If someone is either not brave or not old then someone is both happy and kind and vice ve... | Alice is not generous. | neutral | (![X]:((~quiet(X)<~>~kind(X))<=>(patient(X)|old(X))))&
((?[X]:((~rich(X)&~kind(X))))=>((patient(susan)&~calm(susan))))&
(![X]:(~happy(X)<=>(kind(X)<~>~funny(X))))&
((?[X]:((~brave(X)<~>~old(X))))<=>(?[X]:((happy(X)&kind(X)))))&
(![X]:((creative(X)<~>~humble(X))<=>patient(X)))&
(![X]:((~happy(X)<~>~old(X))<=>tall(X)))&
... | ~generous(alice) | [] | null | 0 |
Everyone who is both not happy and old is strong. Everyone who is funny or not kind is either happy or not tall and vice versa. If someone is happy or strong then mary is not generous. Everyone who is not generous is either brave or not quiet and vice versa. If someone is either strong or happy then lucy is tall or gen... | Fred is rich. | entailment | (![X]:((~happy(X)&old(X))=>strong(X)))&
(![X]:((funny(X)|~kind(X))<=>(happy(X)<~>~tall(X))))&
((?[X]:((happy(X)|strong(X))))=>(~generous(mary)))&
(![X]:(~generous(X)<=>(brave(X)<~>~quiet(X))))&
((?[X]:((strong(X)<~>happy(X))))=>((tall(lucy)|generous(lucy))))&
(![X]:((rich(X)&~kind(X))<=>creative(X)))&
(![X]:(~humble(X)... | rich(fred) | [
"p0",
"p2",
"p6",
"p7",
"p8",
"p10",
"p13",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7581857825506437677684225
% SZS output start Proof for 7581857825506437677684225
1. ! [X0] : ((old(X0) & ~happy(X0)) => strong(X0)) [input p0]
3. ? [X0] : (strong(X0) | happy(X0)) => ~generous(mary) [input p2]
7. ! [X0] : (~humble(X0) <=> rich(X0)) [input p6]
8. ! [X0] : (~generous(X0) <=... | 0 |
Everyone who is brave or not generous is happy. Everyone who is either not brave or not humble is both not rich and wise and vice versa. If lucy is not humble or strong then fred is both not brave and strong and vice versa. If someone is not strong then someone is either not humble or not calm and vice versa. Everyone ... | Lucy is kind. | neutral | (![X]:((brave(X)|~generous(X))=>happy(X)))&
(![X]:((~brave(X)<~>~humble(X))<=>(~rich(X)&wise(X))))&
(((~humble(lucy)|strong(lucy)))<=>((~brave(fred)&strong(fred))))&
((?[X]:(~strong(X)))<=>(?[X]:((~humble(X)<~>~calm(X)))))&
(![X]:((humble(X)|~old(X))=>(~curious(X)&calm(X))))&
(![X]:(happy(X)<=>(humble(X)&calm(X))))&
(!... | kind(lucy) | [] | null | 0 |
Everyone who is old or not strong is wise or not calm.
Everyone who is either not strong or happy is not quiet and vice versa.
Everyone who is humble is wise and vice versa.
If john is both not calm and not strong then susan is not curious.
Everyone who is both rich and creative is not wise.
Everyone who is not generou... | John is not rich. | neutral | (![X]:((old(X)|~strong(X))=>(wise(X)|~calm(X))))&
(![X]:((~strong(X)<~>happy(X))<=>~quiet(X)))&
(![X]:(humble(X)<=>wise(X)))&
(((~calm(john)&~strong(john)))=>(~curious(susan)))&
(![X]:((rich(X)&creative(X))=>~wise(X)))&
(![X]:((~generous(X)|~kind(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((tall(X)|~strong(X))=>(~kind(X)|~s... | ~rich(john) | [] | null | 0 |
If lucy is both happy and not patient then someone is generous and vice versa.
Everyone who is not happy is wise and vice versa.
Everyone who is not old or wise is not tall or happy and vice versa.
Everyone who is both not happy and patient is both generous and not happy.
Everyone who is either not wise or humble is bo... | Paul is not calm. | neutral | (((happy(lucy)&~patient(lucy)))<=>(?[X]:(generous(X))))&
(![X]:(~happy(X)<=>wise(X)))&
(![X]:((~old(X)|wise(X))<=>(~tall(X)|happy(X))))&
(![X]:((~happy(X)&patient(X))=>(generous(X)&~happy(X))))&
(![X]:((~wise(X)<~>humble(X))=>(~kind(X)&~brave(X))))&
(![X]:((brave(X)<~>old(X))<=>(~kind(X)&strong(X))))&
(![X]:(funny(X)=>... | ~calm(paul) | [] | null | 0 |
Everyone who is funny is not curious and vice versa. If paul is patient then john is not quiet and vice versa. If someone is brave or not quiet then alice is not happy. Everyone who is both not kind and not rich is tall and vice versa. Everyone who is humble or kind is both not calm and patient. If someone is both pati... | John is old. | contradiction | (![X]:(funny(X)<=>~curious(X)))&
((patient(paul))<=>(~quiet(john)))&
((?[X]:((brave(X)|~quiet(X))))=>(~happy(alice)))&
(![X]:((~kind(X)&~rich(X))<=>tall(X)))&
(![X]:((humble(X)|kind(X))=>(~calm(X)&patient(X))))&
((?[X]:((patient(X)&~curious(X))))<=>(patient(alice)))&
(![X]:((~old(X)&~generous(X))=>~patient(X)))&
((?[X]... | old(john) | [
"p4",
"p8",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3681099714424117351921296
% SZS output start Proof for 3681099714424117351921296
5. ! [X0] : ((kind(X0) | humble(X0)) => (patient(X0) & ~calm(X0))) [input p4]
9. ! [X0] : ((~kind(X0) <~> ~rich(X0)) => (funny(X0) & ~old(X0))) [input p8]
10. ! [X0] : ((calm(X0) <~> strong(X0)) <=> ~strong(X... | 0 |
If someone is funny or not funny then lucy is both brave and generous. Everyone who is wise is old. Everyone who is either patient or not wise is both brave and not creative. If someone is not quiet or creative then lucy is tall or wise. Everyone who is both not generous and happy is not happy and vice versa. If someon... | Fred is not creative. | contradiction | ((?[X]:((funny(X)|~funny(X))))=>((brave(lucy)&generous(lucy))))&
(![X]:(wise(X)=>old(X)))&
(![X]:((patient(X)<~>~wise(X))=>(brave(X)&~creative(X))))&
((?[X]:((~quiet(X)|creative(X))))=>((tall(lucy)|wise(lucy))))&
(![X]:((~generous(X)&happy(X))<=>~happy(X)))&
((?[X]:((~strong(X)|~tall(X))))=>((~kind(fred)<~>curious(fred... | ~creative(fred) | [
"p1",
"p2",
"p4",
"p8",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9193372821867680918323263
% SZS output start Proof for 9193372821867680918323263
2. ! [X0] : (wise(X0) => old(X0)) [input p1]
3. ! [X0] : ((patient(X0) <~> ~wise(X0)) => (~creative(X0) & brave(X0))) [input p2]
5. ! [X0] : ((happy(X0) & ~generous(X0)) <=> ~happy(X0)) [input p4]
9. ! [X0] :... | 0 |
Everyone who is either not generous or wise is not tall or quiet. If susan is either quiet or not strong then paul is both not old and not patient. Everyone who is either not strong or not tall is either not calm or not strong. Everyone who is strong is either not old or humble. Everyone who is not creative or not humb... | Paul is tall. | contradiction | (![X]:((~generous(X)<~>wise(X))=>(~tall(X)|quiet(X))))&
(((quiet(susan)<~>~strong(susan)))=>((~old(paul)&~patient(paul))))&
(![X]:((~strong(X)<~>~tall(X))=>(~calm(X)<~>~strong(X))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((pa... | tall(paul) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8421459689723624820494701
% SZS output start Proof for 8421459689723624820494701
5. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~tall(X0) & ~old(X0))) [input p4]
8. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (curious(X0) & ~creative(X0))) [input p7]
22. tall(paul) [input hypothesis]
29. !... | 0 |
If someone is not calm or not brave then paul is both not tall and not curious and vice versa. Everyone who is both not calm and not rich is not curious and vice versa. If mary is either quiet or humble then someone is either not creative or not tall and vice versa. If alice is either patient or rich then someone is ki... | Susan is patient. | neutral | ((?[X]:((~calm(X)|~brave(X))))<=>((~tall(paul)&~curious(paul))))&
(![X]:((~calm(X)&~rich(X))<=>~curious(X)))&
(((quiet(mary)<~>humble(mary)))<=>(?[X]:((~creative(X)<~>~tall(X)))))&
(((patient(alice)<~>rich(alice)))=>(?[X]:((kind(X)|brave(X)))))&
((?[X]:((calm(X)&~creative(X))))=>((~brave(john)&creative(john))))&
(![X]:... | patient(susan) | [] | null | 0 |
Everyone who is not brave is both not patient and not kind and vice versa. If someone is not humble or wise then someone is both not patient and not brave. Everyone who is not humble or not kind is both generous and rich and vice versa. If paul is both not old and not kind then someone is either not creative or not hum... | Paul is tall. | contradiction | (![X]:(~brave(X)<=>(~patient(X)&~kind(X))))&
((?[X]:((~humble(X)|wise(X))))=>(?[X]:((~patient(X)&~brave(X)))))&
(![X]:((~humble(X)|~kind(X))<=>(generous(X)&rich(X))))&
(((~old(paul)&~kind(paul)))<=>(?[X]:((~creative(X)<~>~humble(X)))))&
((?[X]:((old(X)<~>kind(X))))=>(?[X]:(quiet(X))))&
(![X]:((patient(X)&creative(X))=>... | tall(paul) | [
"p0",
"p1",
"p2",
"p3",
"p7",
"p10",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 290727911969155165541834
% SZS output start Proof for 290727911969155165541834
1. ! [X0] : (~brave(X0) <=> (~kind(X0) & ~patient(X0))) [input p0]
2. ? [X0] : (wise(X0) | ~humble(X0)) => ? [X0] : (~brave(X0) & ~patient(X0)) [input p1]
3. ! [X0] : ((~kind(X0) | ~humble(X0)) <=> (rich(X0) & ... | 0 |
Everyone who is brave is not strong.
Everyone who is either brave or not strong is either not funny or not tall and vice versa.
Everyone who is not calm or wise is both happy and not patient and vice versa.
Everyone who is both not brave and not tall is both quiet and strong.
Everyone who is patient is either brave or ... | Mary is generous. | contradiction | (![X]:(brave(X)=>~strong(X)))&
(![X]:((brave(X)<~>~strong(X))<=>(~funny(X)<~>~tall(X))))&
(![X]:((~calm(X)|wise(X))<=>(happy(X)&~patient(X))))&
(![X]:((~brave(X)&~tall(X))=>(quiet(X)&strong(X))))&
(![X]:(patient(X)<=>(brave(X)<~>~wise(X))))&
(((happy(john)|calm(john)))<=>(?[X]:((quiet(X)<~>~tall(X)))))&
((?[X]:(~patien... | generous(mary) | [
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6638877357183237668134373
% SZS output start Proof for 6638877357183237668134373
8. (wise(alice) | ~calm(alice)) <=> (~generous(mary) & ~curious(mary)) [input p7]
17. wise(alice) [input p16]
22. generous(mary) [input hypothesis]
46. ((wise(alice) | ~calm(alice)) | (generous(mary) | curiou... | 0 |
If someone is tall or not happy then john is either funny or not rich and vice versa. If someone is kind or wise then someone is generous or not brave. If susan is either tall or not creative then someone is both not brave and kind and vice versa. Everyone who is not happy or not kind is kind and vice versa. If alice i... | Lucy is not quiet. | entailment | ((?[X]:((tall(X)|~happy(X))))<=>((funny(john)<~>~rich(john))))&
((?[X]:((kind(X)|wise(X))))=>(?[X]:((generous(X)|~brave(X)))))&
(((tall(susan)<~>~creative(susan)))<=>(?[X]:((~brave(X)&kind(X)))))&
(![X]:((~happy(X)|~kind(X))<=>kind(X)))&
(((creative(alice)<~>generous(alice)))=>((creative(mary)<~>calm(mary))))&
((?[X]:(... | ~quiet(lucy) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6033344112653226841309751
% SZS output start Proof for 6033344112653226841309751
4. ! [X0] : ((~kind(X0) | ~happy(X0)) <=> kind(X0)) [input p3]
12. ! [X0] : ((quiet(X0) | funny(X0)) => (quiet(X0) & ~kind(X0))) [input p11]
24. quiet(lucy) [input hypothesis]
34. ! [X0] : ((quiet(X0) & ~kind... | 0 |
Everyone who is happy or humble is not wise or strong and vice versa.
Everyone who is not happy or humble is either kind or not brave and vice versa.
Everyone who is both calm and not calm is not curious and vice versa.
If susan is old or not wise then fred is not wise or rich.
Everyone who is calm or curious is either... | Paul is not curious. | contradiction | (![X]:((happy(X)|humble(X))<=>(~wise(X)|strong(X))))&
(![X]:((~happy(X)|humble(X))<=>(kind(X)<~>~brave(X))))&
(![X]:((calm(X)&~calm(X))<=>~curious(X)))&
(((old(susan)|~wise(susan)))=>((~wise(fred)|rich(fred))))&
(![X]:((calm(X)|curious(X))<=>(~creative(X)<~>~rich(X))))&
(![X]:((funny(X)|~old(X))<=>(~wise(X)&kind(X))))&... | ~curious(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1675559857689124586736488
% SZS output start Proof for 1675559857689124586736488
3. ! [X0] : ((~calm(X0) & calm(X0)) <=> ~curious(X0)) [input p2]
25. ~curious(paul) [input hypothesis]
41. ! [X0] : (((~calm(X0) & calm(X0)) | curious(X0)) & (~curious(X0) | (calm(X0) | ~calm(X0)))) [nnf tran... | 0 |
Everyone who is tall or not old is both not patient and not curious.
If fred is rich then someone is happy and vice versa.
Everyone who is both old and rich is either not quiet or strong and vice versa.
Everyone who is both not happy and not calm is both humble and not curious.
If susan is generous then someone is both... | Alice is curious. | contradiction | (![X]:((tall(X)|~old(X))=>(~patient(X)&~curious(X))))&
((rich(fred))<=>(?[X]:(happy(X))))&
(![X]:((old(X)&rich(X))<=>(~quiet(X)<~>strong(X))))&
(![X]:((~happy(X)&~calm(X))=>(humble(X)&~curious(X))))&
((generous(susan))=>(?[X]:((old(X)&~generous(X)))))&
(![X]:((curious(X)<~>~strong(X))<=>(~calm(X)<~>old(X))))&
(![X]:(~f... | curious(alice) | [
"p0",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6456447713853214482681634
% SZS output start Proof for 6456447713853214482681634
1. ! [X0] : ((~old(X0) | tall(X0)) => (~curious(X0) & ~patient(X0))) [input p0]
14. ! [X0] : ((tall(X0) <~> wise(X0)) => tall(X0)) [input p13]
20. wise(alice) [input p19]
23. curious(alice) [input hypothesis]... | 0 |
Everyone who is either not creative or wise is either creative or not calm.
Everyone who is both patient and not patient is strong or patient.
If someone is old then lucy is funny and vice versa.
If someone is tall or rich then someone is either not curious or calm and vice versa.
If alice is both not creative and old ... | Mary is not happy. | entailment | (![X]:((~creative(X)<~>wise(X))=>(creative(X)<~>~calm(X))))&
(![X]:((patient(X)&~patient(X))=>(strong(X)|patient(X))))&
((?[X]:(old(X)))<=>(funny(lucy)))&
((?[X]:((tall(X)|rich(X))))<=>(?[X]:((~curious(X)<~>calm(X)))))&
(((~creative(alice)&old(alice)))=>(?[X]:((~happy(X)|calm(X)))))&
((?[X]:(kind(X)))<=>((humble(alice)... | ~happy(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5940394581652137032202556
% SZS output start Proof for 5940394581652137032202556
20. ~generous(mary) & ~happy(mary) [input p19]
25. happy(mary) [input hypothesis]
30. ~happy(mary) [pure predicate removal 20]
132. ~happy(mary) [cnf transformation 30]
136. happy(mary) [cnf transformation 25... | 0 |
Everyone who is calm is either not tall or not funny and vice versa.
Everyone who is either calm or generous is not funny or not calm and vice versa.
Everyone who is either not generous or tall is either funny or not creative and vice versa.
If susan is either creative or curious then someone is both not patient and qu... | John is not patient. | neutral | (![X]:(calm(X)<=>(~tall(X)<~>~funny(X))))&
(![X]:((calm(X)<~>generous(X))<=>(~funny(X)|~calm(X))))&
(![X]:((~generous(X)<~>tall(X))<=>(funny(X)<~>~creative(X))))&
(((creative(susan)<~>curious(susan)))=>(?[X]:((~patient(X)&quiet(X)))))&
(((creative(fred)|~curious(fred)))<=>(?[X]:((happy(X)|~old(X)))))&
((?[X]:((rich(X)<... | ~patient(john) | [] | null | 0 |
Everyone who is both not patient and not creative is not tall or not humble.
Everyone who is not funny or old is happy or not funny and vice versa.
Everyone who is not patient is brave or strong and vice versa.
Everyone who is either rich or wise is either not brave or not generous.
If john is not humble then john is n... | Fred is not kind. | neutral | (![X]:((~patient(X)&~creative(X))=>(~tall(X)|~humble(X))))&
(![X]:((~funny(X)|old(X))<=>(happy(X)|~funny(X))))&
(![X]:(~patient(X)<=>(brave(X)|strong(X))))&
(![X]:((rich(X)<~>wise(X))=>(~brave(X)<~>~generous(X))))&
((~humble(john))<=>(~calm(john)))&
(![X]:((~kind(X)|~quiet(X))=>(wise(X)|~tall(X))))&
((?[X]:((~tall(X)|~... | ~kind(fred) | [] | null | 0 |
Everyone who is tall is both funny and not quiet.
If paul is creative then fred is both not old and not kind.
If someone is happy then mary is creative and vice versa.
If susan is not curious then alice is curious or wise.
Everyone who is not happy or not creative is both not brave and generous.
Everyone who is both no... | Alice is not happy. | neutral | (![X]:(tall(X)=>(funny(X)&~quiet(X))))&
((creative(paul))=>((~old(fred)&~kind(fred))))&
((?[X]:(happy(X)))<=>(creative(mary)))&
((~curious(susan))=>((curious(alice)|wise(alice))))&
(![X]:((~happy(X)|~creative(X))=>(~brave(X)&generous(X))))&
(![X]:((~humble(X)&wise(X))=>(calm(X)&~kind(X))))&
((?[X]:((old(X)<~>~patient(X... | ~happy(alice) | [] | null | 0 |
Everyone who is not quiet or not funny is generous or not patient and vice versa. Everyone who is tall or not humble is not brave or tall and vice versa. Everyone who is not curious or quiet is either not strong or not creative. Everyone who is not old or not calm is not brave. If someone is both not tall and kind then... | John is old. | neutral | (![X]:((~quiet(X)|~funny(X))<=>(generous(X)|~patient(X))))&
(![X]:((tall(X)|~humble(X))<=>(~brave(X)|tall(X))))&
(![X]:((~curious(X)|quiet(X))=>(~strong(X)<~>~creative(X))))&
(![X]:((~old(X)|~calm(X))=>~brave(X)))&
((?[X]:((~tall(X)&kind(X))))=>(?[X]:(wise(X))))&
(((~tall(susan)|wise(susan)))<=>(?[X]:((~funny(X)|~wise(... | old(john) | [] | null | 0 |
If someone is both not strong and rich then someone is not kind or quiet.
If someone is either curious or not quiet then someone is humble.
Everyone who is both kind and patient is either happy or quiet and vice versa.
Everyone who is either not curious or calm is not quiet and vice versa.
Everyone who is both old and ... | Fred is not generous. | entailment | ((?[X]:((~strong(X)&rich(X))))=>(?[X]:((~kind(X)|quiet(X)))))&
((?[X]:((curious(X)<~>~quiet(X))))=>(?[X]:(humble(X))))&
(![X]:((kind(X)&patient(X))<=>(happy(X)<~>quiet(X))))&
(![X]:((~curious(X)<~>calm(X))<=>~quiet(X)))&
(![X]:((old(X)&~patient(X))<=>(~quiet(X)|~tall(X))))&
((?[X]:(~funny(X)))=>((curious(john)&brave(jo... | ~generous(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6915266418827543272744878
% SZS output start Proof for 6915266418827543272744878
16. ! [X0] : ((generous(X0) | quiet(X0)) <=> (tall(X0) & ~tall(X0))) [input p15]
24. generous(fred) [input hypothesis]
74. ! [X0] : (((generous(X0) | quiet(X0)) | (~tall(X0) | tall(X0))) & ((tall(X0) & ~tall(... | 0 |
If mary is not rich or brave then someone is not generous or not creative and vice versa. Everyone who is not generous or not kind is humble and vice versa. Everyone who is both creative and not humble is both not curious and brave and vice versa. Everyone who is brave is either patient or not creative and vice versa. ... | John is not generous. | entailment | (((~rich(mary)|brave(mary)))<=>(?[X]:((~generous(X)|~creative(X)))))&
(![X]:((~generous(X)|~kind(X))<=>humble(X)))&
(![X]:((creative(X)&~humble(X))<=>(~curious(X)&brave(X))))&
(![X]:(brave(X)<=>(patient(X)<~>~creative(X))))&
(![X]:(~wise(X)=>(quiet(X)|~creative(X))))&
((?[X]:((generous(X)|~curious(X))))<=>(?[X]:((brave... | ~generous(john) | [
"p1",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1489800627415233341325197
% SZS output start Proof for 1489800627415233341325197
2. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> humble(X0)) [input p1]
6. ? [X0] : (~curious(X0) | generous(X0)) <=> ? [X0] : (~humble(X0) & brave(X0)) [input p5]
15. ? [X0] : (brave(X0) <~> ~generous(X0)) => (h... | 0 |
If susan is happy then fred is either funny or not humble and vice versa.
If someone is both tall and brave then lucy is not patient and vice versa.
Everyone who is either not calm or generous is not brave or not wise.
Everyone who is both strong and kind is not rich or not funny and vice versa.
Everyone who is both no... | Lucy is not old. | neutral | ((happy(susan))<=>((funny(fred)<~>~humble(fred))))&
((?[X]:((tall(X)&brave(X))))<=>(~patient(lucy)))&
(![X]:((~calm(X)<~>generous(X))=>(~brave(X)|~wise(X))))&
(![X]:((strong(X)&kind(X))<=>(~rich(X)|~funny(X))))&
(![X]:((~brave(X)&wise(X))=>(~tall(X)&brave(X))))&
(![X]:(strong(X)<=>(wise(X)&~strong(X))))&
(((curious(fre... | ~old(lucy) | [] | null | 0 |
Everyone who is brave or not old is both not funny and wise.
If someone is brave then susan is quiet.
Everyone who is either curious or strong is not quiet and vice versa.
If someone is either old or not strong then alice is either humble or calm and vice versa.
If lucy is tall or not tall then someone is not strong or... | Susan is not humble. | contradiction | (![X]:((brave(X)|~old(X))=>(~funny(X)&wise(X))))&
((?[X]:(brave(X)))=>(quiet(susan)))&
(![X]:((curious(X)<~>strong(X))<=>~quiet(X)))&
((?[X]:((old(X)<~>~strong(X))))<=>((humble(alice)<~>calm(alice))))&
(((tall(lucy)|~tall(lucy)))=>(?[X]:((~strong(X)|happy(X)))))&
(![X]:((wise(X)<~>patient(X))<=>(humble(X)<~>calm(X))))&... | ~humble(susan) | [
"p0",
"p5",
"p7",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7315225176778340683349733
% SZS output start Proof for 7315225176778340683349733
1. ! [X0] : ((~old(X0) | brave(X0)) => (wise(X0) & ~funny(X0))) [input p0]
6. ! [X0] : ((wise(X0) <~> patient(X0)) <=> (humble(X0) <~> calm(X0))) [input p5]
8. ! [X0] : ((kind(X0) <~> ~old(X0)) <=> (wise(X0) ... | 0 |
Everyone who is not funny is both not wise and patient. Everyone who is both not calm and generous is not creative or not kind and vice versa. Everyone who is either humble or creative is either not rich or generous and vice versa. Everyone who is funny is both not creative and not strong. If someone is not curious or ... | Alice is wise. | contradiction | (![X]:(~funny(X)=>(~wise(X)&patient(X))))&
(![X]:((~calm(X)&generous(X))<=>(~creative(X)|~kind(X))))&
(![X]:((humble(X)<~>creative(X))<=>(~rich(X)<~>generous(X))))&
(![X]:(funny(X)=>(~creative(X)&~strong(X))))&
((?[X]:((~curious(X)|wise(X))))<=>(kind(susan)))&
(![X]:((humble(X)&curious(X))<=>~calm(X)))&
((?[X]:(funny(X... | wise(alice) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 161243430423496352464688
% SZS output start Proof for 161243430423496352464688
1. ! [X0] : (~funny(X0) => (patient(X0) & ~wise(X0))) [input p0]
2. ! [X0] : ((generous(X0) & ~calm(X0)) <=> (~kind(X0) | ~creative(X0))) [input p1]
4. ! [X0] : (funny(X0) => (~strong(X0) & ~creative(X0))) [inp... | 0 |
If someone is either generous or kind then someone is generous or not brave and vice versa.
Everyone who is not creative is either calm or not generous and vice versa.
If alice is both not happy and humble then someone is curious.
Everyone who is calm or not humble is both humble and wise and vice versa.
If someone is ... | Lucy is not brave. | neutral | ((?[X]:((generous(X)<~>kind(X))))<=>(?[X]:((generous(X)|~brave(X)))))&
(![X]:(~creative(X)<=>(calm(X)<~>~generous(X))))&
(((~happy(alice)&humble(alice)))=>(?[X]:(curious(X))))&
(![X]:((calm(X)|~humble(X))<=>(humble(X)&wise(X))))&
((?[X]:(patient(X)))=>(?[X]:((~quiet(X)<~>curious(X)))))&
(![X]:((generous(X)|~funny(X))=>... | ~brave(lucy) | [] | null | 0 |
Everyone who is both creative and happy is kind. Everyone who is both curious and not patient is generous and vice versa. Everyone who is not old or not calm is either curious or not generous. If paul is rich then paul is both happy and not generous. If someone is both not rich and not old then someone is not brave. Ev... | Susan is generous. | entailment | (![X]:((creative(X)&happy(X))=>kind(X)))&
(![X]:((curious(X)&~patient(X))<=>generous(X)))&
(![X]:((~old(X)|~calm(X))=>(curious(X)<~>~generous(X))))&
((rich(paul))=>((happy(paul)&~generous(paul))))&
((?[X]:((~rich(X)&~old(X))))=>(?[X]:(~brave(X))))&
(![X]:((happy(X)<~>~old(X))<=>(old(X)|calm(X))))&
(![X]:(old(X)<=>(~ric... | generous(susan) | [
"p2",
"p6",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5270680327979165136758657
% SZS output start Proof for 5270680327979165136758657
3. ! [X0] : ((~calm(X0) | ~old(X0)) => (curious(X0) <~> ~generous(X0))) [input p2]
7. ! [X0] : (old(X0) <=> (~curious(X0) & ~rich(X0))) [input p6]
12. ! [X0] : (~funny(X0) => (~curious(X0) & brave(X0))) [inpu... | 0 |
Everyone who is calm or old is strong or curious. Everyone who is either patient or not rich is both wise and rich. If someone is not generous or not quiet then someone is both not quiet and patient and vice versa. Everyone who is not funny is either not tall or not happy and vice versa. Everyone who is both happy and ... | Fred is not humble. | neutral | (![X]:((calm(X)|old(X))=>(strong(X)|curious(X))))&
(![X]:((patient(X)<~>~rich(X))=>(wise(X)&rich(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:((~quiet(X)&patient(X)))))&
(![X]:(~funny(X)<=>(~tall(X)<~>~happy(X))))&
(![X]:((happy(X)&~wise(X))<=>(~patient(X)<~>~calm(X))))&
((?[X]:(funny(X)))=>(brave(fred)))&
(![X]:(... | ~humble(fred) | [] | null | 0 |
Everyone who is both not funny and strong is rich or strong and vice versa. Everyone who is both kind and creative is not calm or not happy. If john is either generous or humble then someone is not curious or not calm and vice versa. If someone is creative or not calm then someone is rich or not creative and vice versa... | Susan is calm. | entailment | (![X]:((~funny(X)&strong(X))<=>(rich(X)|strong(X))))&
(![X]:((kind(X)&creative(X))=>(~calm(X)|~happy(X))))&
(((generous(john)<~>humble(john)))<=>(?[X]:((~curious(X)|~calm(X)))))&
((?[X]:((creative(X)|~calm(X))))<=>(?[X]:((rich(X)|~creative(X)))))&
(![X]:(humble(X)<=>~curious(X)))&
(![X]:((funny(X)<~>quiet(X))<=>(~calm(... | calm(susan) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1105527041827563614244217
% SZS output start Proof for 1105527041827563614244217
22. humble(susan) & calm(susan) [input p21]
25. ~calm(susan) [input hypothesis]
147. calm(susan) [cnf transformation 22]
152. ~calm(susan) [cnf transformation 25]
352. $false [subsumption resolution 152,147]
... | 0 |
Everyone who is either not curious or generous is not humble or funny and vice versa. Everyone who is generous is curious. If someone is happy or not brave then someone is either not quiet or curious. If someone is not humble or not wise then mary is both funny and not curious and vice versa. Everyone who is either not... | John is not happy. | entailment | (![X]:((~curious(X)<~>generous(X))<=>(~humble(X)|funny(X))))&
(![X]:(generous(X)=>curious(X)))&
((?[X]:((happy(X)|~brave(X))))=>(?[X]:((~quiet(X)<~>curious(X)))))&
((?[X]:((~humble(X)|~wise(X))))<=>((funny(mary)&~curious(mary))))&
(![X]:((~rich(X)<~>funny(X))=>(happy(X)&~brave(X))))&
(![X]:(~kind(X)<=>(~humble(X)|~quie... | ~happy(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4740082458808440447159756
% SZS output start Proof for 4740082458808440447159756
8. ! [X0] : ((~happy(X0) & ~kind(X0)) <=> (~humble(X0) | humble(X0))) [input p7]
25. happy(john) [input hypothesis]
54. ! [X0] : (((~happy(X0) & ~kind(X0)) | (humble(X0) & ~humble(X0))) & ((~humble(X0) | humb... | 0 |
Everyone who is not tall or tall is both rich and calm and vice versa.
Everyone who is tall or not wise is not rich or old and vice versa.
Everyone who is both not humble and not old is either not rich or wise and vice versa.
Everyone who is patient is either not happy or wise.
Everyone who is both old and strong is no... | Lucy is not calm. | contradiction | (![X]:((~tall(X)|tall(X))<=>(rich(X)&calm(X))))&
(![X]:((tall(X)|~wise(X))<=>(~rich(X)|old(X))))&
(![X]:((~humble(X)&~old(X))<=>(~rich(X)<~>wise(X))))&
(![X]:(patient(X)=>(~happy(X)<~>wise(X))))&
(![X]:((old(X)&strong(X))=>(~old(X)|~wise(X))))&
((?[X]:((creative(X)|kind(X))))<=>((rich(susan)<~>~old(susan))))&
(![X]:((~... | ~calm(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8145959321468425714399619
% SZS output start Proof for 8145959321468425714399619
1. ! [X0] : ((tall(X0) | ~tall(X0)) <=> (calm(X0) & rich(X0))) [input p0]
23. ~calm(lucy) [input hypothesis]
34. ! [X0] : (((tall(X0) | ~tall(X0)) | (~calm(X0) | ~rich(X0))) & ((calm(X0) & rich(X0)) | (~tall(... | 0 |
If mary is both quiet and not creative then paul is both old and happy and vice versa.
Everyone who is both not quiet and not funny is both old and not rich and vice versa.
Everyone who is not tall or not strong is either happy or not strong and vice versa.
Everyone who is not generous or tall is either not rich or tal... | Fred is not funny. | entailment | (((quiet(mary)&~creative(mary)))<=>((old(paul)&happy(paul))))&
(![X]:((~quiet(X)&~funny(X))<=>(old(X)&~rich(X))))&
(![X]:((~tall(X)|~strong(X))<=>(happy(X)<~>~strong(X))))&
(![X]:((~generous(X)|tall(X))=>(~rich(X)<~>tall(X))))&
(((curious(john)&~generous(john)))=>(?[X]:((~happy(X)|kind(X)))))&
((rich(fred))=>(?[X]:((~g... | ~funny(fred) | [
"p2",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5606143137303350631538471
% SZS output start Proof for 5606143137303350631538471
3. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (happy(X0) <~> ~strong(X0))) [input p2]
9. ! [X0] : ((~happy(X0) & funny(X0)) <=> (happy(X0) & old(X0))) [input p8]
17. tall(fred) [input p16]
25. funny(fred) [input... | 0 |
Everyone who is not brave is both not kind and not humble.
If lucy is either brave or not brave then someone is not patient.
If someone is not brave or not tall then susan is strong or not creative.
Everyone who is rich is not curious or creative and vice versa.
If fred is rich then fred is both brave and not generous ... | John is not brave. | contradiction | (![X]:(~brave(X)=>(~kind(X)&~humble(X))))&
(((brave(lucy)<~>~brave(lucy)))=>(?[X]:(~patient(X))))&
((?[X]:((~brave(X)|~tall(X))))=>((strong(susan)|~creative(susan))))&
(![X]:(rich(X)<=>(~curious(X)|creative(X))))&
((rich(fred))<=>((brave(fred)&~generous(fred))))&
((?[X]:(kind(X)))=>((~curious(mary)|~quiet(mary))))&
((~... | ~brave(john) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5874062373475290712296290
% SZS output start Proof for 5874062373475290712296290
11. ! [X0] : ((~generous(X0) <~> quiet(X0)) <=> ~quiet(X0)) [input p10]
13. ? [X0] : generous(X0) <=> ? [X0] : ~brave(X0) [input p12]
24. ~brave(john) [input hypothesis]
25. ? [X0] : generous(X0) <=> ? [X1] :... | 0 |
If someone is both generous and not quiet then someone is not patient.
If someone is kind or patient then someone is not generous or not curious.
Everyone who is not curious is strong or not patient and vice versa.
If john is both brave and not rich then alice is both happy and curious.
Everyone who is not rich is both... | John is not wise. | entailment | ((?[X]:((generous(X)&~quiet(X))))=>(?[X]:(~patient(X))))&
((?[X]:((kind(X)|patient(X))))=>(?[X]:((~generous(X)|~curious(X)))))&
(![X]:(~curious(X)<=>(strong(X)|~patient(X))))&
(((brave(john)&~rich(john)))=>((happy(alice)&curious(alice))))&
(![X]:(~rich(X)<=>(creative(X)&kind(X))))&
(![X]:((~creative(X)<~>creative(X))<=... | ~wise(john) | [
"p2",
"p5",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5140973948233019168164862
% SZS output start Proof for 5140973948233019168164862
3. ! [X0] : (~curious(X0) <=> (~patient(X0) | strong(X0))) [input p2]
6. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> (funny(X0) & brave(X0))) [input p5]
9. ! [X0] : (~kind(X0) <=> (calm(X0) <~> ~calm(X0)))... | 0 |
Everyone who is both not calm and generous is both not humble and not creative and vice versa.
If someone is both not rich and wise then someone is not kind and vice versa.
Everyone who is not happy is either not quiet or not calm and vice versa.
If paul is both not patient and strong then susan is wise.
Everyone who i... | Mary is not rich. | entailment | (![X]:((~calm(X)&generous(X))<=>(~humble(X)&~creative(X))))&
((?[X]:((~rich(X)&wise(X))))<=>(?[X]:(~kind(X))))&
(![X]:(~happy(X)<=>(~quiet(X)<~>~calm(X))))&
(((~patient(paul)&strong(paul)))=>(wise(susan)))&
(![X]:((~generous(X)&old(X))<=>(brave(X)|~strong(X))))&
(![X]:((~kind(X)|~generous(X))<=>(~generous(X)&~wise(X)))... | ~rich(mary) | [
"p2",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4083312586743995296382744
% SZS output start Proof for 4083312586743995296382744
3. ! [X0] : (~happy(X0) <=> (~quiet(X0) <~> ~calm(X0))) [input p2]
11. ! [X0] : ((~happy(X0) <~> ~rich(X0)) <=> (quiet(X0) & happy(X0))) [input p10]
14. ! [X0] : ((quiet(X0) | ~calm(X0)) => calm(X0)) [input p... | 0 |
Everyone who is both old and wise is kind and vice versa. If someone is either not creative or curious then paul is both generous and not happy and vice versa. If someone is both old and creative then someone is not creative or happy and vice versa. If lucy is either generous or curious then someone is creative. If som... | Alice is not brave. | entailment | (![X]:((old(X)&wise(X))<=>kind(X)))&
((?[X]:((~creative(X)<~>curious(X))))<=>((generous(paul)&~happy(paul))))&
((?[X]:((old(X)&creative(X))))<=>(?[X]:((~creative(X)|happy(X)))))&
(((generous(lucy)<~>curious(lucy)))=>(?[X]:(creative(X))))&
((?[X]:(~kind(X)))=>(kind(alice)))&
(![X]:((funny(X)<~>~brave(X))=>~kind(X)))&
((... | ~brave(alice) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3625034585112062526353236
% SZS output start Proof for 3625034585112062526353236
1. ! [X0] : ((wise(X0) & old(X0)) <=> kind(X0)) [input p0]
7. ? [X0] : (kind(X0) & ~old(X0)) <=> ? [X0] : brave(X0) [input p6]
23. brave(alice) [input hypothesis]
25. ? [X0] : (kind(X0) & ~old(X0)) <=> ? [X1]... | 0 |
If fred is either quiet or old then someone is patient or calm and vice versa.
Everyone who is both not old and brave is either wise or not rich and vice versa.
If someone is both calm and not wise then someone is generous or creative.
Everyone who is not brave or not strong is both kind and not brave.
If alice is curi... | Susan is not funny. | entailment | (((quiet(fred)<~>old(fred)))<=>(?[X]:((patient(X)|calm(X)))))&
(![X]:((~old(X)&brave(X))<=>(wise(X)<~>~rich(X))))&
((?[X]:((calm(X)&~wise(X))))=>(?[X]:((generous(X)|creative(X)))))&
(![X]:((~brave(X)|~strong(X))=>(kind(X)&~brave(X))))&
(((curious(alice)|creative(alice)))=>(?[X]:((~brave(X)|generous(X)))))&
(((~curious(... | ~funny(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9138590689437001930145851
% SZS output start Proof for 9138590689437001930145851
17. rich(susan) & ~funny(susan) [input p16]
25. funny(susan) [input hypothesis]
151. ~funny(susan) [cnf transformation 17]
165. funny(susan) [cnf transformation 25]
323. $false [subsumption resolution 165,151... | 0 |
If someone is kind then john is not kind or generous and vice versa. If someone is either quiet or creative then susan is patient and vice versa. If someone is either not strong or not calm then someone is humble or not patient and vice versa. Everyone who is both not funny and not wise is either funny or not patient. ... | Susan is wise. | neutral | ((?[X]:(kind(X)))<=>((~kind(john)|generous(john))))&
((?[X]:((quiet(X)<~>creative(X))))<=>(patient(susan)))&
((?[X]:((~strong(X)<~>~calm(X))))<=>(?[X]:((humble(X)|~patient(X)))))&
(![X]:((~funny(X)&~wise(X))=>(funny(X)<~>~patient(X))))&
((?[X]:((generous(X)<~>funny(X))))=>(?[X]:((tall(X)&~wise(X)))))&
((?[X]:((~brave(X... | wise(susan) | [] | null | 0 |
If someone is not quiet then alice is either quiet or curious.
Everyone who is patient or not brave is both not calm and rich and vice versa.
If someone is not patient then lucy is humble or not wise and vice versa.
Everyone who is not quiet is both not quiet and generous and vice versa.
Everyone who is not funny is ei... | Alice is not quiet. | neutral | ((?[X]:(~quiet(X)))=>((quiet(alice)<~>curious(alice))))&
(![X]:((patient(X)|~brave(X))<=>(~calm(X)&rich(X))))&
((?[X]:(~patient(X)))<=>((humble(lucy)|~wise(lucy))))&
(![X]:(~quiet(X)<=>(~quiet(X)&generous(X))))&
(![X]:(~funny(X)<=>(~generous(X)<~>~happy(X))))&
((?[X]:((~kind(X)|~curious(X))))<=>(?[X]:((~wise(X)&funny(X... | ~quiet(alice) | [] | null | 0 |
If someone is either brave or not happy then someone is tall.
Everyone who is not strong is either not calm or brave.
If lucy is old or not calm then fred is either tall or quiet.
Everyone who is both not wise and old is either not rich or funny and vice versa.
Everyone who is either calm or not generous is not old or ... | Mary is not generous. | contradiction | ((?[X]:((brave(X)<~>~happy(X))))=>(?[X]:(tall(X))))&
(![X]:(~strong(X)=>(~calm(X)<~>brave(X))))&
(((old(lucy)|~calm(lucy)))=>((tall(fred)<~>quiet(fred))))&
(![X]:((~wise(X)&old(X))<=>(~rich(X)<~>funny(X))))&
(![X]:((calm(X)<~>~generous(X))<=>(~old(X)|calm(X))))&
(![X]:(brave(X)=>(kind(X)&wise(X))))&
(![X]:((tall(X)|pat... | ~generous(mary) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2530717888439040942361865
% SZS output start Proof for 2530717888439040942361865
5. ! [X0] : ((calm(X0) <~> ~generous(X0)) <=> (calm(X0) | ~old(X0))) [input p4]
14. ! [X0] : ((~happy(X0) | ~old(X0)) <=> generous(X0)) [input p13]
23. ~generous(mary) [input hypothesis]
43. ! [X0] : ((((gene... | 0 |
Everyone who is brave or strong is either not quiet or not happy.
Everyone who is not calm is not wise and vice versa.
If someone is either generous or funny then someone is strong and vice versa.
If someone is either humble or not funny then someone is both strong and calm and vice versa.
If alice is not wise then som... | Lucy is not wise. | neutral | (![X]:((brave(X)|strong(X))=>(~quiet(X)<~>~happy(X))))&
(![X]:(~calm(X)<=>~wise(X)))&
((?[X]:((generous(X)<~>funny(X))))<=>(?[X]:(strong(X))))&
((?[X]:((humble(X)<~>~funny(X))))<=>(?[X]:((strong(X)&calm(X)))))&
((~wise(alice))<=>(?[X]:((patient(X)<~>old(X)))))&
((~funny(john))=>((~brave(fred)&wise(fred))))&
(![X]:((kin... | ~wise(lucy) | [] | null | 0 |
Everyone who is both humble and not quiet is old or wise and vice versa.
Everyone who is calm or quiet is both brave and tall and vice versa.
Everyone who is not strong is not happy.
Everyone who is not wise is both curious and not humble.
Everyone who is wise is either humble or wise.
Everyone who is happy is patient.... | Mary is not kind. | neutral | (![X]:((humble(X)&~quiet(X))<=>(old(X)|wise(X))))&
(![X]:((calm(X)|quiet(X))<=>(brave(X)&tall(X))))&
(![X]:(~strong(X)=>~happy(X)))&
(![X]:(~wise(X)=>(curious(X)&~humble(X))))&
(![X]:(wise(X)=>(humble(X)<~>wise(X))))&
(![X]:(happy(X)=>patient(X)))&
(![X]:((patient(X)&funny(X))<=>(~strong(X)<~>calm(X))))&
(![X]:(creativ... | ~kind(mary) | [] | null | 0 |
If someone is kind then someone is both not patient and patient. If someone is rich then john is not kind or not wise. If someone is either kind or humble then alice is either not tall or tall and vice versa. Everyone who is both not rich and humble is not generous or curious and vice versa. If lucy is not brave or not... | Alice is not creative. | neutral | ((?[X]:(kind(X)))=>(?[X]:((~patient(X)&patient(X)))))&
((?[X]:(rich(X)))=>((~kind(john)|~wise(john))))&
((?[X]:((kind(X)<~>humble(X))))<=>((~tall(alice)<~>tall(alice))))&
(![X]:((~rich(X)&humble(X))<=>(~generous(X)|curious(X))))&
(((~brave(lucy)|~happy(lucy)))<=>(?[X]:((~wise(X)<~>tall(X)))))&
((?[X]:((rich(X)<~>~curio... | ~creative(alice) | [] | null | 0 |
If fred is both not curious and not kind then someone is old or rich. If susan is not tall or not humble then john is not kind and vice versa. If someone is either wise or not patient then alice is both wise and strong. Everyone who is tall or not patient is both funny and quiet and vice versa. Everyone who is not crea... | Paul is curious. | contradiction | (((~curious(fred)&~kind(fred)))=>(?[X]:((old(X)|rich(X)))))&
(((~tall(susan)|~humble(susan)))<=>(~kind(john)))&
((?[X]:((wise(X)<~>~patient(X))))=>((wise(alice)&strong(alice))))&
(![X]:((tall(X)|~patient(X))<=>(funny(X)&quiet(X))))&
(![X]:(~creative(X)=>(~old(X)<~>~patient(X))))&
(![X]:((kind(X)<~>~creative(X))<=>(~fun... | curious(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1420030407520219159910500
% SZS output start Proof for 1420030407520219159910500
22. generous(paul) & ~curious(paul) [input p21]
25. curious(paul) [input hypothesis]
134. ~curious(paul) [cnf transformation 22]
138. curious(paul) [cnf transformation 25]
311. $false [subsumption resolution ... | 0 |
Everyone who is brave or generous is both strong and patient. Everyone who is both tall and not creative is either not strong or wise. Everyone who is brave is quiet and vice versa. Everyone who is humble is not wise. If paul is either tall or curious then paul is not strong and vice versa. If alice is either humble or... | Alice is not creative. | contradiction | (![X]:((brave(X)|generous(X))=>(strong(X)&patient(X))))&
(![X]:((tall(X)&~creative(X))=>(~strong(X)<~>wise(X))))&
(![X]:(brave(X)<=>quiet(X)))&
(![X]:(humble(X)=>~wise(X)))&
(((tall(paul)<~>curious(paul)))<=>(~strong(paul)))&
(((humble(alice)<~>~kind(alice)))=>(~patient(alice)))&
((?[X]:((curious(X)<~>happy(X))))=>((~s... | ~creative(alice) | [
"p0",
"p3",
"p5",
"p9",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 868921994494690934137510
% SZS output start Proof for 868921994494690934137510
1. ! [X0] : ((generous(X0) | brave(X0)) => (patient(X0) & strong(X0))) [input p0]
4. ! [X0] : (humble(X0) => ~wise(X0)) [input p3]
6. (humble(alice) <~> ~kind(alice)) => ~patient(alice) [input p5]
10. ! [X0] : ... | 0 |
If someone is either not brave or curious then someone is both not brave and creative and vice versa.
Everyone who is happy or not creative is wise or not wise.
If fred is not brave then mary is both patient and calm and vice versa.
If alice is not generous then someone is both not quiet and strong and vice versa.
If s... | Fred is brave. | entailment | ((?[X]:((~brave(X)<~>curious(X))))<=>(?[X]:((~brave(X)&creative(X)))))&
(![X]:((happy(X)|~creative(X))=>(wise(X)|~wise(X))))&
((~brave(fred))<=>((patient(mary)&calm(mary))))&
((~generous(alice))<=>(?[X]:((~quiet(X)&strong(X)))))&
(((old(susan)|~calm(susan)))=>(generous(paul)))&
(((~funny(john)|~humble(john)))=>(?[X]:((... | brave(fred) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1610733805157872179602691
% SZS output start Proof for 1610733805157872179602691
3. ~brave(fred) <=> (calm(mary) & patient(mary)) [input p2]
13. ! [X0] : ((~generous(X0) <~> generous(X0)) => ~calm(X0)) [input p12]
25. ~brave(fred) [input hypothesis]
41. ! [X0] : (~calm(X0) | (~generous(X0... | 0 |
If someone is either not creative or wise then someone is curious and vice versa.
Everyone who is both kind and not kind is rich and vice versa.
If fred is both not quiet and not creative then someone is both not kind and not brave and vice versa.
Everyone who is not creative or strong is not quiet.
If alice is not qui... | John is rich. | contradiction | ((?[X]:((~creative(X)<~>wise(X))))<=>(?[X]:(curious(X))))&
(![X]:((kind(X)&~kind(X))<=>rich(X)))&
(((~quiet(fred)&~creative(fred)))<=>(?[X]:((~kind(X)&~brave(X)))))&
(![X]:((~creative(X)|strong(X))=>~quiet(X)))&
(((~quiet(alice)|~tall(alice)))<=>(humble(lucy)))&
(![X]:((~wise(X)<~>patient(X))=>(~rich(X)&kind(X))))&
(![... | rich(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7907992219352423257975545
% SZS output start Proof for 7907992219352423257975545
2. ! [X0] : ((~kind(X0) & kind(X0)) <=> rich(X0)) [input p1]
24. rich(john) [input hypothesis]
43. ! [X0] : (((~kind(X0) & kind(X0)) | ~rich(X0)) & (rich(X0) | (kind(X0) | ~kind(X0)))) [nnf transformation 2]
... | 0 |
Everyone who is both quiet and not generous is either not tall or brave and vice versa.
If someone is either strong or wise then fred is funny and vice versa.
Everyone who is either not happy or old is either quiet or creative.
Everyone who is both humble and tall is not humble or not calm and vice versa.
If susan is e... | Alice is not calm. | contradiction | (![X]:((quiet(X)&~generous(X))<=>(~tall(X)<~>brave(X))))&
((?[X]:((strong(X)<~>wise(X))))<=>(funny(fred)))&
(![X]:((~happy(X)<~>old(X))=>(quiet(X)<~>creative(X))))&
(![X]:((humble(X)&tall(X))<=>(~humble(X)|~calm(X))))&
(((wise(susan)<~>happy(susan)))=>((humble(alice)<~>old(alice))))&
(![X]:((~tall(X)&~wise(X))<=>~brave... | ~calm(alice) | [
"p0",
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 490953672641012064663001
% SZS output start Proof for 490953672641012064663001
1. ! [X0] : ((~generous(X0) & quiet(X0)) <=> (~tall(X0) <~> brave(X0))) [input p0]
4. ! [X0] : ((tall(X0) & humble(X0)) <=> (~calm(X0) | ~humble(X0))) [input p3]
6. ! [X0] : ((~wise(X0) & ~tall(X0)) <=> ~brave(... | 0 |
If someone is either humble or not old then susan is not calm and vice versa.
If mary is not kind or not rich then paul is not patient or creative.
If fred is both not tall and not wise then someone is either curious or not tall and vice versa.
Everyone who is not humble or not happy is both not creative and not old an... | Paul is not curious. | contradiction | ((?[X]:((humble(X)<~>~old(X))))<=>(~calm(susan)))&
(((~kind(mary)|~rich(mary)))=>((~patient(paul)|creative(paul))))&
(((~tall(fred)&~wise(fred)))<=>(?[X]:((curious(X)<~>~tall(X)))))&
(![X]:((~humble(X)|~happy(X))<=>(~creative(X)&~old(X))))&
((?[X]:(calm(X)))=>((creative(susan)&~humble(susan))))&
((?[X]:((~wise(X)|calm(... | ~curious(paul) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1463438809274933216636518
% SZS output start Proof for 1463438809274933216636518
4. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> (~old(X0) & ~creative(X0))) [input p3]
12. ! [X0] : ((~humble(X0) & curious(X0)) <=> (~creative(X0) <~> creative(X0))) [input p11]
23. ~curious(paul) [input hypothe... | 0 |
Everyone who is either not calm or quiet is both old and not brave.
If someone is humble then lucy is creative or tall and vice versa.
If someone is either humble or not funny then someone is rich or not brave.
Everyone who is both not old and generous is both not generous and wise.
Everyone who is both not calm and hu... | John is quiet. | entailment | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&~brave(X))))&
((?[X]:(humble(X)))<=>((creative(lucy)|tall(lucy))))&
((?[X]:((humble(X)<~>~funny(X))))=>(?[X]:((rich(X)|~brave(X)))))&
(![X]:((~old(X)&generous(X))=>(~generous(X)&wise(X))))&
(![X]:((~calm(X)&humble(X))=>(~happy(X)<~>~funny(X))))&
(![X]:(~curious(X)=>~humble(X)))&
(!... | quiet(john) | [
"p0",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7858247457845841326757550
% SZS output start Proof for 7858247457845841326757550
1. ! [X0] : ((~calm(X0) <~> quiet(X0)) => (~brave(X0) & old(X0))) [input p0]
13. ! [X0] : ((quiet(X0) & ~strong(X0)) <=> (calm(X0) | ~generous(X0))) [input p12]
16. ! [X0] : ((brave(X0) & kind(X0)) <=> ~calm(... | 0 |
Everyone who is strong or not wise is both not rich and not humble.
Everyone who is patient is not old or not creative.
Everyone who is either not curious or not rich is either not generous or rich.
Everyone who is both not curious and not brave is brave.
Everyone who is not old is either generous or rich and vice vers... | Mary is wise. | contradiction | (![X]:((strong(X)|~wise(X))=>(~rich(X)&~humble(X))))&
(![X]:(patient(X)=>(~old(X)|~creative(X))))&
(![X]:((~curious(X)<~>~rich(X))=>(~generous(X)<~>rich(X))))&
(![X]:((~curious(X)&~brave(X))=>brave(X)))&
(![X]:(~old(X)<=>(generous(X)<~>rich(X))))&
(((~strong(susan)|~humble(susan)))=>(?[X]:((~tall(X)<~>~curious(X)))))&
... | wise(mary) | [
"p0",
"p2",
"p3",
"p4",
"p7",
"p9",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2979135168372676951383217
% SZS output start Proof for 2979135168372676951383217
1. ! [X0] : ((~wise(X0) | strong(X0)) => (~humble(X0) & ~rich(X0))) [input p0]
3. ! [X0] : ((~curious(X0) <~> ~rich(X0)) => (~generous(X0) <~> rich(X0))) [input p2]
4. ! [X0] : ((~brave(X0) & ~curious(X0)) =>... | 0 |
If someone is both humble and calm then someone is wise and vice versa.
If mary is both not rich and quiet then someone is both not wise and not humble and vice versa.
Everyone who is not patient is both tall and creative and vice versa.
Everyone who is both happy and creative is wise or humble.
Everyone who is funny i... | Fred is quiet. | neutral | ((?[X]:((humble(X)&calm(X))))<=>(?[X]:(wise(X))))&
(((~rich(mary)&quiet(mary)))<=>(?[X]:((~wise(X)&~humble(X)))))&
(![X]:(~patient(X)<=>(tall(X)&creative(X))))&
(![X]:((happy(X)&creative(X))=>(wise(X)|humble(X))))&
(![X]:(funny(X)=>~strong(X)))&
(![X]:(happy(X)=>(creative(X)<~>~wise(X))))&
(![X]:((~kind(X)|wise(X))=>(s... | quiet(fred) | [] | null | 0 |
Everyone who is funny is both not strong and not happy.
Everyone who is both wise and not kind is either old or not creative and vice versa.
If someone is not strong or not wise then john is kind or not calm and vice versa.
Everyone who is not tall or quiet is not quiet.
If someone is either not strong or kind then som... | Lucy is funny. | contradiction | (![X]:(funny(X)=>(~strong(X)&~happy(X))))&
(![X]:((wise(X)&~kind(X))<=>(old(X)<~>~creative(X))))&
((?[X]:((~strong(X)|~wise(X))))<=>((kind(john)|~calm(john))))&
(![X]:((~tall(X)|quiet(X))=>~quiet(X)))&
((?[X]:((~strong(X)<~>kind(X))))<=>(?[X]:((funny(X)&brave(X)))))&
(![X]:((~wise(X)<~>~strong(X))<=>(~happy(X)<~>quiet(... | funny(lucy) | [
"p0",
"p3",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1838826220108131595697919
% SZS output start Proof for 1838826220108131595697919
1. ! [X0] : (funny(X0) => (~happy(X0) & ~strong(X0))) [input p0]
4. ! [X0] : ((quiet(X0) | ~tall(X0)) => ~quiet(X0)) [input p3]
6. ! [X0] : ((~wise(X0) <~> ~strong(X0)) <=> (~happy(X0) <~> quiet(X0))) [input ... | 0 |
Everyone who is either not tall or strong is either not creative or happy and vice versa.
Everyone who is both not generous and not rich is either calm or not funny.
Everyone who is both not happy and happy is strong.
Everyone who is either patient or curious is either not happy or generous and vice versa.
Everyone who... | Mary is quiet. | contradiction | (![X]:((~tall(X)<~>strong(X))<=>(~creative(X)<~>happy(X))))&
(![X]:((~generous(X)&~rich(X))=>(calm(X)<~>~funny(X))))&
(![X]:((~happy(X)&happy(X))=>strong(X)))&
(![X]:((patient(X)<~>curious(X))<=>(~happy(X)<~>generous(X))))&
(![X]:((quiet(X)&patient(X))<=>(tall(X)<~>~old(X))))&
((?[X]:(kind(X)))<=>((~humble(susan)<~>str... | quiet(mary) | [
"p0",
"p4",
"p9",
"p10",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1950944608454710061437874
% SZS output start Proof for 1950944608454710061437874
1. ! [X0] : ((~tall(X0) <~> strong(X0)) <=> (~creative(X0) <~> happy(X0))) [input p0]
5. ! [X0] : ((patient(X0) & quiet(X0)) <=> (tall(X0) <~> ~old(X0))) [input p4]
10. ! [X0] : (~kind(X0) <=> (curious(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... | Alice is not happy. | 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... | ~happy(alice) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p10",
"p11",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2096050425982586155167693
% SZS output start Proof for 2096050425982586155167693
2. ! [X0] : ((kind(X0) <~> quiet(X0)) => ~tall(X0)) [input p1]
3. ! [X0] : ((wise(X0) | ~old(X0)) <=> (~curious(X0) | ~quiet(X0))) [input p2]
4. ! [X0] : ((~old(X0) & ~happy(X0)) <=> (kind(X0) <~> rich(X0))) ... | 0 |
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