premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either wise or not kind is both generous and quiet and vice versa.
If someone is not wise or not rich then john is either not generous or creative and vice versa.
Everyone who is calm is both generous and not strong.
If mary is either strong or rich then someone is both kind and not strong.
If lucy is n... | John is not rich. | entailment | (![X]:((wise(X)<~>~kind(X))<=>(generous(X)&quiet(X))))&
((?[X]:((~wise(X)|~rich(X))))<=>((~generous(john)<~>creative(john))))&
(![X]:(calm(X)=>(generous(X)&~strong(X))))&
(((strong(mary)<~>rich(mary)))=>(?[X]:((kind(X)&~strong(X)))))&
(((~generous(lucy)|~brave(lucy)))=>((quiet(john)|~quiet(john))))&
((?[X]:((tall(X)&~h... | ~rich(john) | [
"p2",
"p9",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7404462906444921179317448
% SZS output start Proof for 7404462906444921179317448
3. ! [X0] : (calm(X0) => (~strong(X0) & generous(X0))) [input p2]
10. ! [X0] : ((patient(X0) | ~kind(X0)) <=> ~calm(X0)) [input p9]
19. ~generous(john) <~> ~kind(john) [input p18]
22. ~rich(john) | calm(john)... | 0 |
If paul is either not kind or old then mary is not happy or not humble. If mary is both quiet and not kind then mary is wise or old and vice versa. If susan is either not brave or not happy then alice is both not wise and happy. If lucy is funny then someone is humble or calm. If someone is either quiet or not rich the... | Lucy is humble. | neutral | (((~kind(paul)<~>old(paul)))=>((~happy(mary)|~humble(mary))))&
(((quiet(mary)&~kind(mary)))<=>((wise(mary)|old(mary))))&
(((~brave(susan)<~>~happy(susan)))=>((~wise(alice)&happy(alice))))&
((funny(lucy))=>(?[X]:((humble(X)|calm(X)))))&
((?[X]:((quiet(X)<~>~rich(X))))<=>(?[X]:((tall(X)|calm(X)))))&
(![X]:((patient(X)&br... | humble(lucy) | [] | null | 0 |
If john is not curious then fred is both not strong and creative and vice versa. If mary is not happy then fred is calm and vice versa. If mary is either calm or not patient then john is both generous and not brave and vice versa. If someone is both not rich and brave then someone is humble or not curious. Everyone who... | Alice is old. | neutral | ((~curious(john))<=>((~strong(fred)&creative(fred))))&
((~happy(mary))<=>(calm(fred)))&
(((calm(mary)<~>~patient(mary)))<=>((generous(john)&~brave(john))))&
((?[X]:((~rich(X)&brave(X))))=>(?[X]:((humble(X)|~curious(X)))))&
(![X]:((~generous(X)&happy(X))<=>(~tall(X)<~>~creative(X))))&
(![X]:((~kind(X)<~>~happy(X))=>(bra... | old(alice) | [] | null | 0 |
If someone is both not tall and creative then someone is either not tall or quiet and vice versa.
If someone is either not humble or kind then someone is both calm and creative.
If someone is either not quiet or not calm then someone is either not quiet or old and vice versa.
If fred is not kind or patient then someone... | Lucy is wise. | neutral | ((?[X]:((~tall(X)&creative(X))))<=>(?[X]:((~tall(X)<~>quiet(X)))))&
((?[X]:((~humble(X)<~>kind(X))))=>(?[X]:((calm(X)&creative(X)))))&
((?[X]:((~quiet(X)<~>~calm(X))))<=>(?[X]:((~quiet(X)<~>old(X)))))&
(((~kind(fred)|patient(fred)))<=>(?[X]:(curious(X))))&
((~rich(susan))<=>(?[X]:(~rich(X))))&
(![X]:(funny(X)<=>(~humbl... | wise(lucy) | [] | null | 0 |
Everyone who is not wise or not generous is quiet or not rich.
Everyone who is generous or not tall is both brave and kind.
If john is funny or kind then someone is both not humble and not kind.
If someone is not rich or not creative then fred is both strong and generous.
Everyone who is tall or old is curious or not f... | Alice is not calm. | neutral | (![X]:((~wise(X)|~generous(X))=>(quiet(X)|~rich(X))))&
(![X]:((generous(X)|~tall(X))=>(brave(X)&kind(X))))&
(((funny(john)|kind(john)))=>(?[X]:((~humble(X)&~kind(X)))))&
((?[X]:((~rich(X)|~creative(X))))=>((strong(fred)&generous(fred))))&
(![X]:((tall(X)|old(X))=>(curious(X)|~funny(X))))&
(![X]:((~wise(X)|humble(X))=>(... | ~calm(alice) | [] | null | 0 |
If someone is wise then someone is tall or curious. If someone is not quiet or not brave then someone is happy and vice versa. Everyone who is either not wise or not creative is curious or not humble and vice versa. If someone is either generous or not happy then someone is kind. Everyone who is either curious or patie... | Lucy is not tall. | entailment | ((?[X]:(wise(X)))=>(?[X]:((tall(X)|curious(X)))))&
((?[X]:((~quiet(X)|~brave(X))))<=>(?[X]:(happy(X))))&
(![X]:((~wise(X)<~>~creative(X))<=>(curious(X)|~humble(X))))&
((?[X]:((generous(X)<~>~happy(X))))=>(?[X]:(kind(X))))&
(![X]:((curious(X)<~>patient(X))<=>curious(X)))&
(![X]:(curious(X)=>~happy(X)))&
(![X]:((rich(X)<... | ~tall(lucy) | [
"p4",
"p7",
"p8",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 274178166936151874656306
% SZS output start Proof for 274178166936151874656306
5. ! [X0] : ((curious(X0) <~> patient(X0)) <=> curious(X0)) [input p4]
8. ! [X0] : ((kind(X0) | ~creative(X0)) <=> kind(X0)) [input p7]
9. ! [X0] : ((kind(X0) <~> happy(X0)) <=> (~patient(X0) & happy(X0))) [inp... | 0 |
If someone is either creative or not rich then someone is both tall and generous.
Everyone who is not creative is kind.
If alice is calm then someone is not patient or not rich.
Everyone who is both not calm and strong is not rich or patient.
Everyone who is happy or curious is either tall or not tall and vice versa.
I... | Alice is calm. | neutral | ((?[X]:((creative(X)<~>~rich(X))))=>(?[X]:((tall(X)&generous(X)))))&
(![X]:(~creative(X)=>kind(X)))&
((calm(alice))=>(?[X]:((~patient(X)|~rich(X)))))&
(![X]:((~calm(X)&strong(X))=>(~rich(X)|patient(X))))&
(![X]:((happy(X)|curious(X))<=>(tall(X)<~>~tall(X))))&
(((quiet(john)|wise(john)))<=>((patient(john)&~curious(john)... | calm(alice) | [] | null | 0 |
Everyone who is either brave or wise is rich and vice versa.
If someone is brave or creative then paul is not tall and vice versa.
If paul is either not kind or generous then mary is both not brave and not generous.
If someone is happy or not brave then fred is both funny and calm and vice versa.
Everyone who is either... | Lucy is not quiet. | neutral | (![X]:((brave(X)<~>wise(X))<=>rich(X)))&
((?[X]:((brave(X)|creative(X))))<=>(~tall(paul)))&
(((~kind(paul)<~>generous(paul)))=>((~brave(mary)&~generous(mary))))&
((?[X]:((happy(X)|~brave(X))))<=>((funny(fred)&calm(fred))))&
(![X]:((~creative(X)<~>~rich(X))=>(~patient(X)<~>strong(X))))&
(![X]:((strong(X)&~creative(X))<=... | ~quiet(lucy) | [] | null | 0 |
If someone is both patient and brave then lucy is wise or not creative and vice versa.
If someone is tall or rich then susan is not old or not curious.
Everyone who is not calm or not brave is both happy and not wise and vice versa.
Everyone who is either happy or not creative is either not calm or not curious and vice... | Lucy is generous. | contradiction | ((?[X]:((patient(X)&brave(X))))<=>((wise(lucy)|~creative(lucy))))&
((?[X]:((tall(X)|rich(X))))=>((~old(susan)|~curious(susan))))&
(![X]:((~calm(X)|~brave(X))<=>(happy(X)&~wise(X))))&
(![X]:((happy(X)<~>~creative(X))<=>(~calm(X)<~>~curious(X))))&
(((~funny(fred)|~kind(fred)))=>(?[X]:(funny(X))))&
(![X]:((~kind(X)|~quiet... | generous(lucy) | [
"p3",
"p5",
"p7",
"p8",
"p9",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 57095076304412402306988
% SZS output start Proof for 57095076304412402306988
4. ! [X0] : ((happy(X0) <~> ~creative(X0)) <=> (~calm(X0) <~> ~curious(X0))) [input p3]
6. ! [X0] : ((~quiet(X0) | ~kind(X0)) <=> (happy(X0) & ~humble(X0))) [input p5]
8. ? [X0] : (~rich(X0) <~> creative(X0)) <=>... | 0 |
If someone is not wise then someone is not funny or not happy and vice versa.
Everyone who is humble is patient or strong and vice versa.
If someone is wise or not calm then someone is not curious or not calm and vice versa.
Everyone who is both tall and not wise is either not creative or not tall and vice versa.
Every... | Mary is happy. | entailment | ((?[X]:(~wise(X)))<=>(?[X]:((~funny(X)|~happy(X)))))&
(![X]:(humble(X)<=>(patient(X)|strong(X))))&
((?[X]:((wise(X)|~calm(X))))<=>(?[X]:((~curious(X)|~calm(X)))))&
(![X]:((tall(X)&~wise(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:((tall(X)&curious(X))<=>~wise(X)))&
(![X]:((~rich(X)<~>~old(X))=>~quiet(X)))&
(((~funny(mary)... | happy(mary) | [
"p0",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6031600602826953032565241
% SZS output start Proof for 6031600602826953032565241
1. ? [X0] : ~wise(X0) <=> ? [X0] : (~happy(X0) | ~funny(X0)) [input p0]
5. ! [X0] : ((curious(X0) & tall(X0)) <=> ~wise(X0)) [input p4]
9. ! [X0] : ((happy(X0) | calm(X0)) => (wise(X0) & funny(X0))) [input p8... | 0 |
If someone is humble or strong then lucy is either not patient or not strong and vice versa.
Everyone who is either brave or old is either happy or old and vice versa.
If susan is both funny and patient then someone is not brave or not quiet and vice versa.
Everyone who is creative or wise is either not patient or stro... | Fred is funny. | neutral | ((?[X]:((humble(X)|strong(X))))<=>((~patient(lucy)<~>~strong(lucy))))&
(![X]:((brave(X)<~>old(X))<=>(happy(X)<~>old(X))))&
(((funny(susan)&patient(susan)))<=>(?[X]:((~brave(X)|~quiet(X)))))&
(![X]:((creative(X)|wise(X))=>(~patient(X)<~>strong(X))))&
(![X]:(creative(X)=>(~creative(X)|calm(X))))&
(![X]:((~curious(X)|pati... | funny(fred) | [] | null | 0 |
Everyone who is not old is not rich and vice versa.
Everyone who is not funny is not generous and vice versa.
If someone is not rich then someone is wise or quiet and vice versa.
If someone is both kind and creative then paul is wise or old.
If alice is wise then someone is either old or not quiet and vice versa.
Every... | Susan is old. | entailment | (![X]:(~old(X)<=>~rich(X)))&
(![X]:(~funny(X)<=>~generous(X)))&
((?[X]:(~rich(X)))<=>(?[X]:((wise(X)|quiet(X)))))&
((?[X]:((kind(X)&creative(X))))=>((wise(paul)|old(paul))))&
((wise(alice))<=>(?[X]:((old(X)<~>~quiet(X)))))&
(![X]:((~tall(X)<~>strong(X))<=>(~creative(X)<~>~calm(X))))&
((?[X]:((generous(X)&curious(X))))=... | old(susan) | [
"p0",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6052390673390632449729795
% SZS output start Proof for 6052390673390632449729795
1. ! [X0] : (~old(X0) <=> ~rich(X0)) [input p0]
18. ~creative(susan) & rich(susan) [input p17]
25. ~old(susan) [input hypothesis]
34. ! [X0] : ((~old(X0) | rich(X0)) & (~rich(X0) | old(X0))) [nnf transformati... | 0 |
Everyone who is both not patient and not brave is not calm and vice versa.
If someone is either wise or not quiet then someone is either not brave or humble.
Everyone who is not tall is both not happy and creative.
Everyone who is kind or not happy is both not funny and funny.
If someone is not kind then susan is tall ... | Lucy is not rich. | entailment | (![X]:((~patient(X)&~brave(X))<=>~calm(X)))&
((?[X]:((wise(X)<~>~quiet(X))))=>(?[X]:((~brave(X)<~>humble(X)))))&
(![X]:(~tall(X)=>(~happy(X)&creative(X))))&
(![X]:((kind(X)|~happy(X))=>(~funny(X)&funny(X))))&
((?[X]:(~kind(X)))<=>(tall(susan)))&
(![X]:((happy(X)<~>kind(X))<=>(~curious(X)<~>~tall(X))))&
(((patient(john)... | ~rich(lucy) | [
"p2",
"p3",
"p10",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1584256301292651400531405
% SZS output start Proof for 1584256301292651400531405
3. ! [X0] : (~tall(X0) => (creative(X0) & ~happy(X0))) [input p2]
4. ! [X0] : ((~happy(X0) | kind(X0)) => (funny(X0) & ~funny(X0))) [input p3]
11. ! [X0] : ((wise(X0) & brave(X0)) <=> rich(X0)) [input p10]
14... | 0 |
If lucy is calm then john is either rich or not old.
If susan is either wise or patient then someone is happy and vice versa.
Everyone who is not funny is not patient and vice versa.
Everyone who is not wise is either not generous or generous.
If someone is both quiet and not funny then someone is either not curious or... | Lucy is kind. | contradiction | ((calm(lucy))=>((rich(john)<~>~old(john))))&
(((wise(susan)<~>patient(susan)))<=>(?[X]:(happy(X))))&
(![X]:(~funny(X)<=>~patient(X)))&
(![X]:(~wise(X)=>(~generous(X)<~>generous(X))))&
((?[X]:((quiet(X)&~funny(X))))<=>(?[X]:((~curious(X)<~>~calm(X)))))&
((?[X]:((brave(X)|~funny(X))))=>(?[X]:((~kind(X)&strong(X)))))&
(((... | kind(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9214259519204273905353688
% SZS output start Proof for 9214259519204273905353688
10. ! [X0] : ((kind(X0) <~> ~rich(X0)) <=> ~rich(X0)) [input p9]
24. kind(lucy) [input hypothesis]
56. ! [X0] : ((((rich(X0) | ~kind(X0)) & (~rich(X0) | kind(X0))) | rich(X0)) & (~rich(X0) | ((kind(X0) | rich... | 0 |
If alice is either not strong or kind then lucy is strong.
Everyone who is both not rich and not calm is not kind or calm and vice versa.
Everyone who is curious is generous or not curious and vice versa.
If paul is both not kind and generous then someone is generous and vice versa.
If someone is strong or wise then so... | Fred is tall. | neutral | (((~strong(alice)<~>kind(alice)))=>(strong(lucy)))&
(![X]:((~rich(X)&~calm(X))<=>(~kind(X)|calm(X))))&
(![X]:(curious(X)<=>(generous(X)|~curious(X))))&
(((~kind(paul)&generous(paul)))<=>(?[X]:(generous(X))))&
((?[X]:((strong(X)|wise(X))))<=>(?[X]:((~kind(X)|rich(X)))))&
(![X]:((~quiet(X)<~>~kind(X))<=>(~humble(X)<~>bra... | tall(fred) | [] | null | 0 |
Everyone who is funny or not patient is either not old or brave and vice versa.
Everyone who is kind is curious and vice versa.
Everyone who is both not tall and curious is calm and vice versa.
Everyone who is funny is not kind or not calm.
If paul is either patient or not curious then someone is creative or strong.
If... | Alice is not happy. | neutral | (![X]:((funny(X)|~patient(X))<=>(~old(X)<~>brave(X))))&
(![X]:(kind(X)<=>curious(X)))&
(![X]:((~tall(X)&curious(X))<=>calm(X)))&
(![X]:(funny(X)=>(~kind(X)|~calm(X))))&
(((patient(paul)<~>~curious(paul)))=>(?[X]:((creative(X)|strong(X)))))&
((?[X]:((patient(X)&~strong(X))))<=>(?[X]:(quiet(X))))&
((~strong(lucy))=>((hum... | ~happy(alice) | [] | null | 0 |
Everyone who is happy is wise or not strong and vice versa.
Everyone who is not patient is either calm or strong.
Everyone who is either not rich or not funny is both funny and not generous.
If someone is old then john is both not funny and not quiet.
If someone is rich or not curious then someone is both quiet and not... | Mary is happy. | neutral | (![X]:(happy(X)<=>(wise(X)|~strong(X))))&
(![X]:(~patient(X)=>(calm(X)<~>strong(X))))&
(![X]:((~rich(X)<~>~funny(X))=>(funny(X)&~generous(X))))&
((?[X]:(old(X)))=>((~funny(john)&~quiet(john))))&
((?[X]:((rich(X)|~curious(X))))=>(?[X]:((quiet(X)&~curious(X)))))&
((?[X]:((patient(X)|~creative(X))))=>((~wise(fred)&~brave(... | happy(mary) | [] | null | 0 |
Everyone who is both not rich and not happy is either not quiet or patient and vice versa.
Everyone who is both brave and tall is humble or brave and vice versa.
If alice is not happy then someone is not generous or not old and vice versa.
If alice is both kind and not humble then fred is not wise and vice versa.
If so... | Susan is wise. | neutral | (![X]:((~rich(X)&~happy(X))<=>(~quiet(X)<~>patient(X))))&
(![X]:((brave(X)&tall(X))<=>(humble(X)|brave(X))))&
((~happy(alice))<=>(?[X]:((~generous(X)|~old(X)))))&
(((kind(alice)&~humble(alice)))<=>(~wise(fred)))&
((?[X]:((curious(X)<~>brave(X))))<=>(?[X]:((~creative(X)<~>tall(X)))))&
(![X]:((quiet(X)|~calm(X))<=>(~tall... | wise(susan) | [] | null | 0 |
If alice is either not old or curious then someone is either not curious or wise and vice versa.
Everyone who is patient is both not happy and not quiet.
Everyone who is not humble or tall is either not patient or not kind.
Everyone who is not old or not brave is not tall or not happy and vice versa.
If someone is crea... | Lucy is not creative. | neutral | (((~old(alice)<~>curious(alice)))<=>(?[X]:((~curious(X)<~>wise(X)))))&
(![X]:(patient(X)=>(~happy(X)&~quiet(X))))&
(![X]:((~humble(X)|tall(X))=>(~patient(X)<~>~kind(X))))&
(![X]:((~old(X)|~brave(X))<=>(~tall(X)|~happy(X))))&
((?[X]:((creative(X)|patient(X))))=>(?[X]:((~humble(X)&creative(X)))))&
(![X]:((~quiet(X)&~old(... | ~creative(lucy) | [] | null | 0 |
Everyone who is not happy or kind is wise or rich and vice versa.
Everyone who is not happy is creative or not funny and vice versa.
Everyone who is happy or not generous is tall and vice versa.
If someone is both not old and not wise then fred is happy.
Everyone who is either not generous or not happy is either humble... | Fred is happy. | neutral | (![X]:((~happy(X)|kind(X))<=>(wise(X)|rich(X))))&
(![X]:(~happy(X)<=>(creative(X)|~funny(X))))&
(![X]:((happy(X)|~generous(X))<=>tall(X)))&
((?[X]:((~old(X)&~wise(X))))=>(happy(fred)))&
(![X]:((~generous(X)<~>~happy(X))=>(humble(X)<~>~brave(X))))&
((?[X]:(calm(X)))<=>(?[X]:((~happy(X)&~brave(X)))))&
(![X]:(wise(X)<=>(~... | happy(fred) | [] | null | 0 |
Everyone who is tall is not patient. Everyone who is brave is both tall and not funny and vice versa. If someone is not strong or not generous then someone is either not funny or not old and vice versa. Everyone who is not wise or happy is not rich and vice versa. Everyone who is both humble and brave is not tall. Ever... | Alice is not creative. | contradiction | (![X]:(tall(X)=>~patient(X)))&
(![X]:(brave(X)<=>(tall(X)&~funny(X))))&
((?[X]:((~strong(X)|~generous(X))))<=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((~wise(X)|happy(X))<=>~rich(X)))&
(![X]:((humble(X)&brave(X))=>~tall(X)))&
(![X]:(~curious(X)<=>(generous(X)&~kind(X))))&
(![X]:(~brave(X)=>(quiet(X)&humble(X))))&
(![X]:... | ~creative(alice) | [
"p1",
"p4",
"p6",
"p7",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 881133487807830381988191
% SZS output start Proof for 881133487807830381988191
2. ! [X0] : (brave(X0) <=> (~funny(X0) & tall(X0))) [input p1]
5. ! [X0] : ((brave(X0) & humble(X0)) => ~tall(X0)) [input p4]
7. ! [X0] : (~brave(X0) => (humble(X0) & quiet(X0))) [input p6]
8. ! [X0] : ((quiet(... | 0 |
Everyone who is either not creative or brave is both not creative and strong and vice versa.
Everyone who is not curious is either not kind or not humble.
If john is generous then mary is funny.
Everyone who is both not generous and wise is either strong or not wise.
Everyone who is both not old and brave is not brave ... | Lucy is not quiet. | entailment | (![X]:((~creative(X)<~>brave(X))<=>(~creative(X)&strong(X))))&
(![X]:(~curious(X)=>(~kind(X)<~>~humble(X))))&
((generous(john))=>(funny(mary)))&
(![X]:((~generous(X)&wise(X))=>(strong(X)<~>~wise(X))))&
(![X]:((~old(X)&brave(X))<=>~brave(X)))&
(((~kind(alice)|humble(alice)))<=>((~kind(john)<~>kind(john))))&
((?[X]:((~wi... | ~quiet(lucy) | [
"p0",
"p3",
"p4",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8312559262946973293838699
% SZS output start Proof for 8312559262946973293838699
1. ! [X0] : ((~creative(X0) <~> brave(X0)) <=> (strong(X0) & ~creative(X0))) [input p0]
4. ! [X0] : ((wise(X0) & ~generous(X0)) => (strong(X0) <~> ~wise(X0))) [input p3]
5. ! [X0] : ((brave(X0) & ~old(X0)) <=... | 0 |
If someone is not funny or not generous then someone is either strong or old.
Everyone who is kind is either old or not brave and vice versa.
Everyone who is either funny or wise is either not kind or not strong.
Everyone who is kind is rich or not tall.
If mary is not kind then someone is not creative and vice versa.
... | Lucy is quiet. | contradiction | ((?[X]:((~funny(X)|~generous(X))))=>(?[X]:((strong(X)<~>old(X)))))&
(![X]:(kind(X)<=>(old(X)<~>~brave(X))))&
(![X]:((funny(X)<~>wise(X))=>(~kind(X)<~>~strong(X))))&
(![X]:(kind(X)=>(rich(X)|~tall(X))))&
((~kind(mary))<=>(?[X]:(~creative(X))))&
(![X]:(~generous(X)=>(creative(X)|kind(X))))&
(![X]:((~creative(X)|~quiet(X)... | quiet(lucy) | [
"p4",
"p6",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 279668664029147176130670
% SZS output start Proof for 279668664029147176130670
5. ~kind(mary) <=> ? [X0] : ~creative(X0) [input p4]
7. ! [X0] : ((~quiet(X0) | ~creative(X0)) <=> brave(X0)) [input p6]
12. ! [X0] : ((~kind(X0) | ~old(X0)) <=> (happy(X0) & kind(X0))) [input p11]
22. brave(lu... | 0 |
Everyone who is both kind and funny is quiet and vice versa.
Everyone who is rich or not happy is funny.
If someone is kind then someone is humble and vice versa.
If susan is tall or not curious then someone is not kind or old.
Everyone who is both not wise and happy is both kind and not funny.
If paul is both not calm... | Alice is not rich. | neutral | (![X]:((kind(X)&funny(X))<=>quiet(X)))&
(![X]:((rich(X)|~happy(X))=>funny(X)))&
((?[X]:(kind(X)))<=>(?[X]:(humble(X))))&
(((tall(susan)|~curious(susan)))=>(?[X]:((~kind(X)|old(X)))))&
(![X]:((~wise(X)&happy(X))=>(kind(X)&~funny(X))))&
(((~calm(paul)&~quiet(paul)))<=>(?[X]:((old(X)&~creative(X)))))&
(((~funny(alice)&~ca... | ~rich(alice) | [] | null | 0 |
Everyone who is generous or not calm is not curious.
Everyone who is both not strong and not generous is both humble and patient.
Everyone who is both not strong and not old is either not strong or not old.
Everyone who is quiet or curious is either not kind or old.
Everyone who is not brave is funny or brave.
Everyone... | Lucy is old. | entailment | (![X]:((generous(X)|~calm(X))=>~curious(X)))&
(![X]:((~strong(X)&~generous(X))=>(humble(X)&patient(X))))&
(![X]:((~strong(X)&~old(X))=>(~strong(X)<~>~old(X))))&
(![X]:((quiet(X)|curious(X))=>(~kind(X)<~>old(X))))&
(![X]:(~brave(X)=>(funny(X)|brave(X))))&
(![X]:((~patient(X)|patient(X))=>~rich(X)))&
(![X]:(humble(X)<=>(... | old(lucy) | [
"p3",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1704704993659835702223405
% SZS output start Proof for 1704704993659835702223405
4. ! [X0] : ((curious(X0) | quiet(X0)) => (~kind(X0) <~> old(X0))) [input p3]
7. ! [X0] : (humble(X0) <=> (kind(X0) <~> ~humble(X0))) [input p6]
10. ! [X0] : ((~calm(X0) | ~old(X0)) => curious(X0)) [input p9]... | 0 |
Everyone who is both not wise and not curious is either happy or not strong and vice versa.
If mary is not wise then mary is not brave or strong.
If susan is either wise or kind then mary is brave or strong and vice versa.
If lucy is quiet or happy then mary is not curious and vice versa.
If someone is both strong and ... | Mary is curious. | neutral | (![X]:((~wise(X)&~curious(X))<=>(happy(X)<~>~strong(X))))&
((~wise(mary))=>((~brave(mary)|strong(mary))))&
(((wise(susan)<~>kind(susan)))<=>((brave(mary)|strong(mary))))&
(((quiet(lucy)|happy(lucy)))<=>(~curious(mary)))&
((?[X]:((strong(X)&~humble(X))))<=>(?[X]:((~wise(X)&funny(X)))))&
(![X]:((old(X)<~>~funny(X))=>stro... | curious(mary) | [] | null | 0 |
Everyone who is both kind and humble is quiet or humble and vice versa.
Everyone who is either funny or humble is either not funny or patient and vice versa.
Everyone who is both curious and patient is not patient or not quiet and vice versa.
Everyone who is either strong or not creative is tall or not tall.
If someone... | Fred is funny. | neutral | (![X]:((kind(X)&humble(X))<=>(quiet(X)|humble(X))))&
(![X]:((funny(X)<~>humble(X))<=>(~funny(X)<~>patient(X))))&
(![X]:((curious(X)&patient(X))<=>(~patient(X)|~quiet(X))))&
(![X]:((strong(X)<~>~creative(X))=>(tall(X)|~tall(X))))&
((?[X]:(~brave(X)))=>(?[X]:((~curious(X)|strong(X)))))&
(![X]:((~humble(X)<~>quiet(X))=>ol... | funny(fred) | [] | null | 0 |
If john is either generous or not funny then mary is both not curious and kind. Everyone who is not kind is both not funny and creative and vice versa. If fred is not kind then someone is quiet or rich. Everyone who is both strong and old is humble or not happy. Everyone who is either not strong or not tall is not happ... | Mary is funny. | entailment | (((generous(john)<~>~funny(john)))=>((~curious(mary)&kind(mary))))&
(![X]:(~kind(X)<=>(~funny(X)&creative(X))))&
((~kind(fred))=>(?[X]:((quiet(X)|rich(X)))))&
(![X]:((strong(X)&old(X))=>(humble(X)|~happy(X))))&
(![X]:((~strong(X)<~>~tall(X))<=>(~happy(X)|patient(X))))&
(![X]:((strong(X)<~>quiet(X))<=>(~patient(X)<~>~ta... | funny(mary) | [
"p1",
"p4",
"p5",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8476517070705732551275384
% SZS output start Proof for 8476517070705732551275384
2. ! [X0] : (~kind(X0) <=> (creative(X0) & ~funny(X0))) [input p1]
5. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> (patient(X0) | ~happy(X0))) [input p4]
6. ! [X0] : ((strong(X0) <~> quiet(X0)) <=> (~patient(X0)... | 0 |
If paul is not old or not kind then someone is not tall. If someone is not brave then fred is not patient or not happy and vice versa. Everyone who is either not strong or tall is funny or not quiet and vice versa. If fred is curious or kind then john is humble. If john is both curious and not quiet then fred is both r... | John is not calm. | neutral | (((~old(paul)|~kind(paul)))=>(?[X]:(~tall(X))))&
((?[X]:(~brave(X)))<=>((~patient(fred)|~happy(fred))))&
(![X]:((~strong(X)<~>tall(X))<=>(funny(X)|~quiet(X))))&
(((curious(fred)|kind(fred)))=>(humble(john)))&
(((curious(john)&~quiet(john)))=>((rich(fred)&~generous(fred))))&
((?[X]:((patient(X)<~>happy(X))))=>((tall(mar... | ~calm(john) | [] | null | 0 |
If alice is either calm or not generous then paul is both not kind and humble. If mary is not rich then alice is either happy or generous. Everyone who is either old or not happy is calm or patient and vice versa. If susan is both calm and not curious then paul is both funny and not happy and vice versa. If john is fun... | Mary is patient. | contradiction | (((calm(alice)<~>~generous(alice)))=>((~kind(paul)&humble(paul))))&
((~rich(mary))=>((happy(alice)<~>generous(alice))))&
(![X]:((old(X)<~>~happy(X))<=>(calm(X)|patient(X))))&
(((calm(susan)&~curious(susan)))<=>((funny(paul)&~happy(paul))))&
(((funny(john)|~brave(john)))<=>((~strong(susan)<~>~wise(susan))))&
(((~strong(... | patient(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4051650036644165702195907
% SZS output start Proof for 4051650036644165702195907
8. ! [X0] : (patient(X0) <=> (humble(X0) & ~patient(X0))) [input p7]
24. patient(mary) [input hypothesis]
45. ! [X0] : ((patient(X0) | (~humble(X0) | patient(X0))) & ((humble(X0) & ~patient(X0)) | ~patient(X0... | 0 |
Everyone who is old or not patient is calm or not rich and vice versa.
If someone is either not creative or not tall then someone is either not rich or not curious and vice versa.
If someone is both strong and wise then mary is both not humble and not generous and vice versa.
If someone is either creative or not creati... | Alice is humble. | contradiction | (![X]:((old(X)|~patient(X))<=>(calm(X)|~rich(X))))&
((?[X]:((~creative(X)<~>~tall(X))))<=>(?[X]:((~rich(X)<~>~curious(X)))))&
((?[X]:((strong(X)&wise(X))))<=>((~humble(mary)&~generous(mary))))&
((?[X]:((creative(X)<~>~creative(X))))<=>(generous(mary)))&
(((generous(lucy)<~>rich(lucy)))=>((~generous(alice)&curious(alice... | humble(alice) | [
"p7",
"p9",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2307916634464358214960504
% SZS output start Proof for 2307916634464358214960504
8. ! [X0] : ((wise(X0) <~> ~rich(X0)) => patient(X0)) [input p7]
10. ! [X0] : ((humble(X0) & wise(X0)) <=> (rich(X0) & ~tall(X0))) [input p9]
14. ! [X0] : (~wise(X0) <=> (~tall(X0) & ~calm(X0))) [input p13]
1... | 0 |
If fred is not quiet then mary is brave or creative. If fred is either patient or not brave then someone is both not tall and tall. If john is both not creative and happy then someone is either not creative or not strong and vice versa. If alice is not funny or not strong then fred is both kind and not rich. Everyone w... | Alice is not funny. | contradiction | ((~quiet(fred))=>((brave(mary)|creative(mary))))&
(((patient(fred)<~>~brave(fred)))=>(?[X]:((~tall(X)&tall(X)))))&
(((~creative(john)&happy(john)))<=>(?[X]:((~creative(X)<~>~strong(X)))))&
(((~funny(alice)|~strong(alice)))=>((kind(fred)&~rich(fred))))&
(![X]:((~tall(X)<~>~kind(X))<=>creative(X)))&
((?[X]:((~brave(X)<~>... | ~funny(alice) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6426927247549608020770395
% SZS output start Proof for 6426927247549608020770395
4. (~strong(alice) | ~funny(alice)) => (~rich(fred) & kind(fred)) [input p3]
7. ! [X0] : ((~rich(X0) | ~humble(X0)) => rich(X0)) [input p6]
24. ~funny(alice) [input hypothesis]
31. (~rich(fred) & kind(fred)) ... | 0 |
Everyone who is not tall is generous and vice versa.
Everyone who is both not curious and happy is either not old or humble and vice versa.
Everyone who is both curious and happy is both patient and generous.
If someone is not rich then someone is either calm or happy.
Everyone who is quiet or strong is both kind and c... | Paul is rich. | neutral | (![X]:(~tall(X)<=>generous(X)))&
(![X]:((~curious(X)&happy(X))<=>(~old(X)<~>humble(X))))&
(![X]:((curious(X)&happy(X))=>(patient(X)&generous(X))))&
((?[X]:(~rich(X)))=>(?[X]:((calm(X)<~>happy(X)))))&
(![X]:((quiet(X)|strong(X))<=>(kind(X)&curious(X))))&
(![X]:((patient(X)|~brave(X))=>(~creative(X)|old(X))))&
(((~humble... | rich(paul) | [] | null | 0 |
Everyone who is both kind and brave is humble.
Everyone who is not curious is either strong or kind and vice versa.
Everyone who is either not humble or strong is both not calm and not wise.
Everyone who is either not funny or not creative is strong or happy.
If paul is either not rich or quiet then someone is both not... | Susan is funny. | neutral | (![X]:((kind(X)&brave(X))=>humble(X)))&
(![X]:(~curious(X)<=>(strong(X)<~>kind(X))))&
(![X]:((~humble(X)<~>strong(X))=>(~calm(X)&~wise(X))))&
(![X]:((~funny(X)<~>~creative(X))=>(strong(X)|happy(X))))&
(((~rich(paul)<~>quiet(paul)))=>(?[X]:((~kind(X)&~quiet(X)))))&
(((tall(john)&~funny(john)))=>(generous(john)))&
(((~fu... | funny(susan) | [] | null | 0 |
Everyone who is either not calm or curious is not kind or not humble.
Everyone who is not quiet or brave is not wise and vice versa.
If fred is humble then someone is both strong and old and vice versa.
Everyone who is not curious is creative or not curious.
Everyone who is either funny or not old is either not brave o... | John is humble. | neutral | (![X]:((~calm(X)<~>curious(X))=>(~kind(X)|~humble(X))))&
(![X]:((~quiet(X)|brave(X))<=>~wise(X)))&
((humble(fred))<=>(?[X]:((strong(X)&old(X)))))&
(![X]:(~curious(X)=>(creative(X)|~curious(X))))&
(![X]:((funny(X)<~>~old(X))<=>(~brave(X)<~>humble(X))))&
(![X]:((~old(X)&~calm(X))=>(~curious(X)<~>~strong(X))))&
((?[X]:((~... | humble(john) | [] | null | 0 |
If someone is not old then alice is not creative or not brave. If mary is either not tall or happy then someone is not rich or not wise. Everyone who is not old is either creative or not calm. If someone is either not creative or creative then someone is wise or not tall. Everyone who is not strong is old or not rich. ... | Mary is creative. | contradiction | ((?[X]:(~old(X)))=>((~creative(alice)|~brave(alice))))&
(((~tall(mary)<~>happy(mary)))=>(?[X]:((~rich(X)|~wise(X)))))&
(![X]:(~old(X)=>(creative(X)<~>~calm(X))))&
((?[X]:((~creative(X)<~>creative(X))))=>(?[X]:((wise(X)|~tall(X)))))&
(![X]:(~strong(X)=>(old(X)|~rich(X))))&
(((~generous(paul)&calm(paul)))<=>(?[X]:((~quie... | creative(mary) | [
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7697666462003529276163856
% SZS output start Proof for 7697666462003529276163856
6. (calm(paul) & ~generous(paul)) <=> ? [X0] : (~quiet(X0) <~> old(X0)) [input p5]
9. ! [X0] : ((old(X0) & ~curious(X0)) <=> ~calm(X0)) [input p8]
10. ! [X0] : (creative(X0) <=> quiet(X0)) [input p9]
11. ! [X... | 0 |
If alice is either not tall or funny then mary is either brave or not curious and vice versa.
Everyone who is not curious or curious is both not humble and not funny and vice versa.
If someone is both happy and not calm then someone is calm or rich and vice versa.
Everyone who is either not brave or not happy is not ol... | Mary is old. | neutral | (((~tall(alice)<~>funny(alice)))<=>((brave(mary)<~>~curious(mary))))&
(![X]:((~curious(X)|curious(X))<=>(~humble(X)&~funny(X))))&
((?[X]:((happy(X)&~calm(X))))<=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((~brave(X)<~>~happy(X))<=>(~old(X)|~strong(X))))&
(![X]:((~wise(X)&patient(X))<=>(creative(X)<~>~tall(X))))&
((?[X]:(~kind... | old(mary) | [] | null | 0 |
If susan is old then paul is not tall or strong.
Everyone who is not generous is both generous and patient and vice versa.
If someone is brave then susan is not rich or curious.
If someone is not calm then paul is curious or creative.
Everyone who is not wise or curious is both not generous and kind and vice versa.
If ... | Mary is calm. | entailment | ((old(susan))=>((~tall(paul)|strong(paul))))&
(![X]:(~generous(X)<=>(generous(X)&patient(X))))&
((?[X]:(brave(X)))=>((~rich(susan)|curious(susan))))&
((?[X]:(~calm(X)))=>((curious(paul)|creative(paul))))&
(![X]:((~wise(X)|curious(X))<=>(~generous(X)&kind(X))))&
(((~old(john)&happy(john)))<=>((~generous(john)|wise(john)... | calm(mary) | [
"p1",
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6138171565134683036977794
% SZS output start Proof for 6138171565134683036977794
2. ! [X0] : (~generous(X0) <=> (patient(X0) & generous(X0))) [input p1]
8. ! [X0] : (~calm(X0) => (tall(X0) & ~happy(X0))) [input p7]
9. ! [X0] : ((~generous(X0) <~> calm(X0)) <=> funny(X0)) [input p8]
16. fu... | 0 |
If mary is not calm or not brave then someone is not strong and vice versa.
If someone is not curious or patient then fred is not wise.
Everyone who is generous is either not humble or not generous.
Everyone who is old is both rich and generous.
If john is not generous or not creative then someone is either not rich or... | Paul is creative. | neutral | (((~calm(mary)|~brave(mary)))<=>(?[X]:(~strong(X))))&
((?[X]:((~curious(X)|patient(X))))=>(~wise(fred)))&
(![X]:(generous(X)=>(~humble(X)<~>~generous(X))))&
(![X]:(old(X)=>(rich(X)&generous(X))))&
(((~generous(john)|~creative(john)))=>(?[X]:((~rich(X)<~>funny(X)))))&
((?[X]:((~patient(X)<~>~rich(X))))=>(~kind(john)))&
... | creative(paul) | [] | null | 0 |
If mary is strong or not brave then mary is both not rich and quiet.
If someone is both tall and not generous then someone is either not strong or creative.
Everyone who is either not happy or calm is not creative.
If alice is both not happy and not funny then lucy is not strong or quiet and vice versa.
Everyone who is... | Alice is funny. | neutral | (((strong(mary)|~brave(mary)))=>((~rich(mary)&quiet(mary))))&
((?[X]:((tall(X)&~generous(X))))=>(?[X]:((~strong(X)<~>creative(X)))))&
(![X]:((~happy(X)<~>calm(X))=>~creative(X)))&
(((~happy(alice)&~funny(alice)))<=>((~strong(lucy)|quiet(lucy))))&
(![X]:((~curious(X)|quiet(X))=>calm(X)))&
(![X]:((brave(X)&generous(X))=>... | funny(alice) | [] | null | 0 |
If lucy is both humble and brave then susan is either humble or not humble. If someone is both not quiet and not curious then paul is happy and vice versa. If lucy is either not brave or patient then lucy is either not generous or quiet and vice versa. Everyone who is either curious or calm is both funny and curious an... | Lucy is quiet. | contradiction | (((humble(lucy)&brave(lucy)))=>((humble(susan)<~>~humble(susan))))&
((?[X]:((~quiet(X)&~curious(X))))<=>(happy(paul)))&
(((~brave(lucy)<~>patient(lucy)))<=>((~generous(lucy)<~>quiet(lucy))))&
(![X]:((curious(X)<~>calm(X))<=>(funny(X)&curious(X))))&
((~curious(paul))=>((~quiet(alice)&~patient(alice))))&
(![X]:(creative(... | quiet(lucy) | [
"p3",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3022598910256878385330346
% SZS output start Proof for 3022598910256878385330346
4. ! [X0] : ((curious(X0) <~> calm(X0)) <=> (curious(X0) & funny(X0))) [input p3]
7. ! [X0] : ((~tall(X0) & ~quiet(X0)) <=> (old(X0) | strong(X0))) [input p6]
12. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> (str... | 0 |
If lucy is funny then someone is both not humble and curious and vice versa.
Everyone who is not curious is not generous or not kind.
If susan is not generous then alice is strong or rich and vice versa.
Everyone who is patient is creative and vice versa.
If susan is either not creative or creative then someone is not ... | Lucy is not tall. | neutral | ((funny(lucy))<=>(?[X]:((~humble(X)&curious(X)))))&
(![X]:(~curious(X)=>(~generous(X)|~kind(X))))&
((~generous(susan))<=>((strong(alice)|rich(alice))))&
(![X]:(patient(X)<=>creative(X)))&
(((~creative(susan)<~>creative(susan)))=>(?[X]:(~strong(X))))&
(![X]:((~strong(X)<~>~creative(X))<=>~brave(X)))&
(![X]:((wise(X)|~ca... | ~tall(lucy) | [] | null | 0 |
Everyone who is either creative or quiet is not tall or wise and vice versa.
Everyone who is kind is both not funny and not strong.
Everyone who is not patient is not happy or humble.
If someone is not rich or strong then someone is both not calm and brave.
If paul is kind or not rich then someone is either not strong ... | John is calm. | neutral | (![X]:((creative(X)<~>quiet(X))<=>(~tall(X)|wise(X))))&
(![X]:(kind(X)=>(~funny(X)&~strong(X))))&
(![X]:(~patient(X)=>(~happy(X)|humble(X))))&
((?[X]:((~rich(X)|strong(X))))=>(?[X]:((~calm(X)&brave(X)))))&
(((kind(paul)|~rich(paul)))<=>(?[X]:((~strong(X)<~>~tall(X)))))&
(![X]:(kind(X)<=>(~quiet(X)&~creative(X))))&
(![X... | calm(john) | [] | null | 0 |
Everyone who is funny is rich and vice versa.
Everyone who is either not creative or calm is patient or not rich.
Everyone who is either happy or curious is kind.
If alice is both kind and not kind then someone is patient or calm.
Everyone who is either brave or strong is both not rich and brave.
Everyone who is either... | Paul is not strong. | entailment | (![X]:(funny(X)<=>rich(X)))&
(![X]:((~creative(X)<~>calm(X))=>(patient(X)|~rich(X))))&
(![X]:((happy(X)<~>curious(X))=>kind(X)))&
(((kind(alice)&~kind(alice)))=>(?[X]:((patient(X)|calm(X)))))&
(![X]:((brave(X)<~>strong(X))=>(~rich(X)&brave(X))))&
(![X]:((generous(X)<~>~patient(X))<=>(~creative(X)|~wise(X))))&
((~calm(l... | ~strong(paul) | [
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 662930827963179983430850
% SZS output start Proof for 662930827963179983430850
8. ? [X0] : calm(X0) => (~happy(paul) & ~strong(paul)) [input p7]
18. ~happy(alice) & calm(alice) [input p17]
24. strong(paul) [input hypothesis]
34. (~happy(paul) & ~strong(paul)) | ! [X0] : ~calm(X0) [ennf tr... | 0 |
If someone is not humble or not funny then fred is brave. If someone is either calm or not rich then someone is both not curious and tall and vice versa. If someone is curious or not old then someone is either tall or not strong and vice versa. Everyone who is not kind is not brave or not curious. Everyone who is eithe... | Lucy is strong. | neutral | ((?[X]:((~humble(X)|~funny(X))))=>(brave(fred)))&
((?[X]:((calm(X)<~>~rich(X))))<=>(?[X]:((~curious(X)&tall(X)))))&
((?[X]:((curious(X)|~old(X))))<=>(?[X]:((tall(X)<~>~strong(X)))))&
(![X]:(~kind(X)=>(~brave(X)|~curious(X))))&
(![X]:((curious(X)<~>tall(X))=>(~tall(X)<~>generous(X))))&
(![X]:(patient(X)=>~old(X)))&
((~c... | strong(lucy) | [] | null | 0 |
Everyone who is either not strong or not humble is both not calm and humble and vice versa.
If someone is happy or not quiet then someone is patient or kind and vice versa.
Everyone who is not rich is both not wise and humble.
If john is not curious or happy then someone is both humble and generous and vice versa.
Ever... | Alice is not humble. | contradiction | (![X]:((~strong(X)<~>~humble(X))<=>(~calm(X)&humble(X))))&
((?[X]:((happy(X)|~quiet(X))))<=>(?[X]:((patient(X)|kind(X)))))&
(![X]:(~rich(X)=>(~wise(X)&humble(X))))&
(((~curious(john)|happy(john)))<=>(?[X]:((humble(X)&generous(X)))))&
(![X]:((~kind(X)<~>patient(X))<=>(~kind(X)<~>rich(X))))&
((quiet(john))=>((rich(paul)<... | ~humble(alice) | [
"p0",
"p8",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3421656829398357520499308
% SZS output start Proof for 3421656829398357520499308
1. ! [X0] : ((~strong(X0) <~> ~humble(X0)) <=> (humble(X0) & ~calm(X0))) [input p0]
9. ! [X0] : ((~humble(X0) & old(X0)) => (~quiet(X0) <~> generous(X0))) [input p8]
13. ! [X0] : (calm(X0) <=> (funny(X0) & st... | 0 |
If susan is curious or kind then mary is not strong and vice versa.
If fred is quiet then someone is either calm or creative.
Everyone who is old or not happy is kind.
Everyone who is strong is either quiet or old and vice versa.
If john is both not patient and creative then someone is both not kind and wise.
If fred i... | Susan is humble. | neutral | (((curious(susan)|kind(susan)))<=>(~strong(mary)))&
((quiet(fred))=>(?[X]:((calm(X)<~>creative(X)))))&
(![X]:((old(X)|~happy(X))=>kind(X)))&
(![X]:(strong(X)<=>(quiet(X)<~>old(X))))&
(((~patient(john)&creative(john)))=>(?[X]:((~kind(X)&wise(X)))))&
(((~brave(fred)|strong(fred)))=>((~generous(susan)&~tall(susan))))&
(((... | humble(susan) | [] | null | 0 |
Everyone who is either creative or not tall is not humble or calm and vice versa.
If someone is either curious or tall then someone is not strong or humble and vice versa.
If someone is either curious or creative then paul is either not funny or not brave.
If susan is both patient and not brave then someone is not funn... | Lucy is not creative. | entailment | (![X]:((creative(X)<~>~tall(X))<=>(~humble(X)|calm(X))))&
((?[X]:((curious(X)<~>tall(X))))<=>(?[X]:((~strong(X)|humble(X)))))&
((?[X]:((curious(X)<~>creative(X))))=>((~funny(paul)<~>~brave(paul))))&
(((patient(susan)&~brave(susan)))<=>(?[X]:((~funny(X)|~brave(X)))))&
(![X]:((~calm(X)|creative(X))=>(humble(X)&tall(X))))... | ~creative(lucy) | [
"p3",
"p4",
"p6",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4044452030238898362963163
% SZS output start Proof for 4044452030238898362963163
4. (~brave(susan) & patient(susan)) <=> ? [X0] : (~brave(X0) | ~funny(X0)) [input p3]
5. ! [X0] : ((creative(X0) | ~calm(X0)) => (tall(X0) & humble(X0))) [input p4]
7. ? [X0] : calm(X0) => (~funny(fred) | wis... | 0 |
Everyone who is both not old and not patient is either quiet or not old.
If someone is not funny or old then someone is either curious or rich.
If alice is both old and rich then lucy is not rich and vice versa.
Everyone who is both not patient and not rich is either creative or humble and vice versa.
Everyone who is f... | Paul is not rich. | contradiction | (![X]:((~old(X)&~patient(X))=>(quiet(X)<~>~old(X))))&
((?[X]:((~funny(X)|old(X))))=>(?[X]:((curious(X)<~>rich(X)))))&
(((old(alice)&rich(alice)))<=>(~rich(lucy)))&
(![X]:((~patient(X)&~rich(X))<=>(creative(X)<~>humble(X))))&
(![X]:((funny(X)|generous(X))=>(~strong(X)&~kind(X))))&
(((~old(paul)<~>~rich(paul)))<=>(~creat... | ~rich(paul) | [
"p5",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3367386238249716049784677
% SZS output start Proof for 3367386238249716049784677
6. (~old(paul) <~> ~rich(paul)) <=> ~creative(paul) [input p5]
7. ! [X0] : (~old(X0) <=> (patient(X0) & rich(X0))) [input p6]
8. ! [X0] : (~calm(X0) <=> happy(X0)) [input p7]
14. ! [X0] : ((calm(X0) | happy(X... | 0 |
Everyone who is not curious is either not funny or tall and vice versa. If someone is not humble or strong then susan is rich or kind and vice versa. Everyone who is rich is both not happy and kind and vice versa. If someone is old then fred is funny. Everyone who is not patient is not kind or curious. If someone is cr... | Susan is creative. | entailment | (![X]:(~curious(X)<=>(~funny(X)<~>tall(X))))&
((?[X]:((~humble(X)|strong(X))))<=>((rich(susan)|kind(susan))))&
(![X]:(rich(X)<=>(~happy(X)&kind(X))))&
((?[X]:(old(X)))=>(funny(fred)))&
(![X]:(~patient(X)=>(~kind(X)|curious(X))))&
((?[X]:(creative(X)))=>(?[X]:((~kind(X)<~>humble(X)))))&
(((patient(john)&~happy(john)))=>... | creative(susan) | [
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2893749552913481952517412
% SZS output start Proof for 2893749552913481952517412
15. (~quiet(susan) & ~humble(susan)) <=> ? [X0] : (~old(X0) | quiet(X0)) [input p14]
17. creative(susan) | quiet(susan) [input p16]
25. ~creative(susan) [input hypothesis]
68. ((~quiet(susan) & ~humble(susan)... | 0 |
If someone is not rich then john is not calm or strong and vice versa.
If paul is not happy or not curious then someone is kind.
If lucy is patient then someone is not curious.
If someone is both brave and happy then fred is not old.
If alice is funny then john is both funny and not kind.
Everyone who is curious or not... | Lucy is creative. | neutral | ((?[X]:(~rich(X)))<=>((~calm(john)|strong(john))))&
(((~happy(paul)|~curious(paul)))=>(?[X]:(kind(X))))&
((patient(lucy))=>(?[X]:(~curious(X))))&
((?[X]:((brave(X)&happy(X))))=>(~old(fred)))&
((funny(alice))=>((funny(john)&~kind(john))))&
(![X]:((curious(X)|~happy(X))<=>wise(X)))&
(![X]:(~wise(X)<=>(~generous(X)|calm(X... | creative(lucy) | [] | null | 0 |
If someone is humble or curious then john is either calm or creative and vice versa.
If someone is either not strong or tall then someone is rich or happy.
Everyone who is not tall is generous.
If mary is humble then susan is quiet or calm and vice versa.
Everyone who is either not curious or quiet is either happy or t... | Paul is not strong. | entailment | ((?[X]:((humble(X)|curious(X))))<=>((calm(john)<~>creative(john))))&
((?[X]:((~strong(X)<~>tall(X))))=>(?[X]:((rich(X)|happy(X)))))&
(![X]:(~tall(X)=>generous(X)))&
((humble(mary))<=>((quiet(susan)|calm(susan))))&
(![X]:((~curious(X)<~>quiet(X))<=>(happy(X)<~>tall(X))))&
(![X]:((funny(X)&rich(X))=>(kind(X)|old(X))))&
(... | ~strong(paul) | [
"p2",
"p4",
"p6",
"p8",
"p9",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1167955587805535221406678
% SZS output start Proof for 1167955587805535221406678
3. ! [X0] : (~tall(X0) => generous(X0)) [input p2]
5. ! [X0] : ((~curious(X0) <~> quiet(X0)) <=> (happy(X0) <~> tall(X0))) [input p4]
7. ? [X0] : ~quiet(X0) <=> ? [X0] : (~funny(X0) & funny(X0)) [input p6]
9.... | 0 |
Everyone who is either curious or not humble is both patient and old and vice versa.
Everyone who is both not calm and not rich is curious.
If alice is either brave or not humble then someone is not calm.
If someone is either happy or tall then susan is not tall.
If paul is both kind and rich then someone is either cur... | Alice is quiet. | contradiction | (![X]:((curious(X)<~>~humble(X))<=>(patient(X)&old(X))))&
(![X]:((~calm(X)&~rich(X))=>curious(X)))&
(((brave(alice)<~>~humble(alice)))=>(?[X]:(~calm(X))))&
((?[X]:((happy(X)<~>tall(X))))=>(~tall(susan)))&
(((kind(paul)&rich(paul)))=>(?[X]:((curious(X)<~>~happy(X)))))&
(![X]:((quiet(X)|~tall(X))<=>~happy(X)))&
(![X]:(~b... | quiet(alice) | [
"p0",
"p5",
"p6",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8439159065556842943648667
% SZS output start Proof for 8439159065556842943648667
1. ! [X0] : ((curious(X0) <~> ~humble(X0)) <=> (old(X0) & patient(X0))) [input p0]
6. ! [X0] : ((~tall(X0) | quiet(X0)) <=> ~happy(X0)) [input p5]
7. ! [X0] : (~brave(X0) <=> (creative(X0) & rich(X0))) [input... | 0 |
Everyone who is generous or tall is both patient and not creative.
Everyone who is funny or old is both not funny and not rich and vice versa.
Everyone who is not humble or humble is either kind or funny and vice versa.
If alice is both not humble and rich then alice is both curious and not generous and vice versa.
If ... | Mary is not wise. | entailment | (![X]:((generous(X)|tall(X))=>(patient(X)&~creative(X))))&
(![X]:((funny(X)|old(X))<=>(~funny(X)&~rich(X))))&
(![X]:((~humble(X)|humble(X))<=>(kind(X)<~>funny(X))))&
(((~humble(alice)&rich(alice)))<=>((curious(alice)&~generous(alice))))&
((?[X]:((~generous(X)<~>calm(X))))<=>((curious(mary)&~wise(mary))))&
(((wise(alice... | ~wise(mary) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6111143607290746209780864
% SZS output start Proof for 6111143607290746209780864
1. ! [X0] : ((tall(X0) | generous(X0)) => (~creative(X0) & patient(X0))) [input p0]
2. ! [X0] : ((old(X0) | funny(X0)) <=> (~rich(X0) & ~funny(X0))) [input p1]
3. ! [X0] : ((humble(X0) | ~humble(X0)) <=> (kin... | 0 |
Everyone who is not happy or not humble is both rich and happy.
Everyone who is either not brave or creative is both rich and generous.
Everyone who is both not strong and not kind is both not patient and humble and vice versa.
If someone is either not wise or calm then someone is either funny or generous and vice vers... | Lucy is happy. | entailment | (![X]:((~happy(X)|~humble(X))=>(rich(X)&happy(X))))&
(![X]:((~brave(X)<~>creative(X))=>(rich(X)&generous(X))))&
(![X]:((~strong(X)&~kind(X))<=>(~patient(X)&humble(X))))&
((?[X]:((~wise(X)<~>calm(X))))<=>(?[X]:((funny(X)<~>generous(X)))))&
(((~curious(mary)&~humble(mary)))<=>(?[X]:((~calm(X)&~kind(X)))))&
(![X]:((~funny... | happy(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1151598636199915598565915
% SZS output start Proof for 1151598636199915598565915
1. ! [X0] : ((~humble(X0) | ~happy(X0)) => (happy(X0) & rich(X0))) [input p0]
23. ~happy(lucy) [input hypothesis]
27. ! [X0] : ((happy(X0) & rich(X0)) | (humble(X0) & happy(X0))) [ennf transformation 1]
77. h... | 0 |
Everyone who is funny or old is both wise and not strong.
If someone is not kind then paul is both not rich and tall and vice versa.
If someone is either patient or not generous then fred is kind or not brave and vice versa.
If someone is old then lucy is both brave and not tall and vice versa.
Everyone who is either n... | Mary is humble. | entailment | (![X]:((funny(X)|old(X))=>(wise(X)&~strong(X))))&
((?[X]:(~kind(X)))<=>((~rich(paul)&tall(paul))))&
((?[X]:((patient(X)<~>~generous(X))))<=>((kind(fred)|~brave(fred))))&
((?[X]:(old(X)))<=>((brave(lucy)&~tall(lucy))))&
(![X]:((~old(X)<~>humble(X))<=>patient(X)))&
(![X]:((~wise(X)&~rich(X))=>(~tall(X)<~>~creative(X))))&... | humble(mary) | [
"p4",
"p9",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4091934705046150210994656
% SZS output start Proof for 4091934705046150210994656
5. ! [X0] : ((~old(X0) <~> humble(X0)) <=> patient(X0)) [input p4]
10. ? [X0] : (happy(X0) | quiet(X0)) <=> ~old(mary) [input p9]
11. ? [X0] : (~happy(X0) | generous(X0)) => ? [X0] : (brave(X0) & quiet(X0)) [... | 0 |
If someone is curious then john is not kind or brave. If paul is not old then mary is either quiet or calm. If someone is both not old and happy then someone is not rich or old and vice versa. If john is either not humble or patient then fred is both not strong and curious. Everyone who is not generous or not happy is ... | Mary is creative. | neutral | ((?[X]:(curious(X)))=>((~kind(john)|brave(john))))&
((~old(paul))=>((quiet(mary)<~>calm(mary))))&
((?[X]:((~old(X)&happy(X))))<=>(?[X]:((~rich(X)|old(X)))))&
(((~humble(john)<~>patient(john)))=>((~strong(fred)&curious(fred))))&
(![X]:((~generous(X)|~happy(X))=>~happy(X)))&
((?[X]:((patient(X)&~generous(X))))<=>(~calm(j... | creative(mary) | [] | null | 0 |
If someone is not tall then alice is humble or not old and vice versa.
If fred is both wise and patient then someone is not wise and vice versa.
Everyone who is both creative and patient is quiet.
If someone is patient or calm then mary is both tall and not curious and vice versa.
If someone is kind then someone is cur... | Lucy is not humble. | contradiction | ((?[X]:(~tall(X)))<=>((humble(alice)|~old(alice))))&
(((wise(fred)&patient(fred)))<=>(?[X]:(~wise(X))))&
(![X]:((creative(X)&patient(X))=>quiet(X)))&
((?[X]:((patient(X)|calm(X))))<=>((tall(mary)&~curious(mary))))&
((?[X]:(kind(X)))=>(?[X]:((curious(X)|~quiet(X)))))&
(![X]:((kind(X)|~curious(X))<=>(happy(X)|~funny(X)))... | ~humble(lucy) | [
"p11",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 641563840796503244575936
% SZS output start Proof for 641563840796503244575936
12. ! [X0] : ((~quiet(X0) | funny(X0)) <=> (rich(X0) & ~patient(X0))) [input p11]
14. ! [X0] : ((~humble(X0) | generous(X0)) => (~old(X0) & ~brave(X0))) [input p13]
15. ! [X0] : ((~funny(X0) <~> ~old(X0)) <=> (... | 0 |
If fred is either brave or not generous then lucy is either not quiet or not rich.
If alice is both not patient and not kind then someone is tall or patient.
If john is either calm or quiet then mary is both tall and not quiet.
Everyone who is both brave and not quiet is both not patient and not tall and vice versa.
If... | Alice is not wise. | entailment | (((brave(fred)<~>~generous(fred)))=>((~quiet(lucy)<~>~rich(lucy))))&
(((~patient(alice)&~kind(alice)))=>(?[X]:((tall(X)|patient(X)))))&
(((calm(john)<~>quiet(john)))=>((tall(mary)&~quiet(mary))))&
(![X]:((brave(X)&~quiet(X))<=>(~patient(X)&~tall(X))))&
((curious(lucy))<=>(?[X]:(~old(X))))&
(![X]:((patient(X)&old(X))<=>... | ~wise(alice) | [
"p5",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3547963154948344479641551
% SZS output start Proof for 3547963154948344479641551
6. ! [X0] : ((old(X0) & patient(X0)) <=> (~wise(X0) <~> ~old(X0))) [input p5]
10. ! [X0] : ((old(X0) <~> ~quiet(X0)) <=> (~old(X0) | patient(X0))) [input p9]
23. quiet(alice) & ~calm(alice) [input p22]
25. wi... | 0 |
If someone is either rich or not patient then lucy is not generous or not creative and vice versa.
Everyone who is either not curious or creative is both not old and curious.
Everyone who is curious or not kind is wise and vice versa.
Everyone who is calm is kind or not calm and vice versa.
If mary is curious then alic... | Paul is calm. | entailment | ((?[X]:((rich(X)<~>~patient(X))))<=>((~generous(lucy)|~creative(lucy))))&
(![X]:((~curious(X)<~>creative(X))=>(~old(X)&curious(X))))&
(![X]:((curious(X)|~kind(X))<=>wise(X)))&
(![X]:(calm(X)<=>(kind(X)|~calm(X))))&
((curious(mary))=>((funny(alice)|~curious(alice))))&
(![X]:(~patient(X)<=>(~tall(X)|patient(X))))&
(![X]:... | calm(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6916416519286367388959313
% SZS output start Proof for 6916416519286367388959313
4. ! [X0] : (calm(X0) <=> (~calm(X0) | kind(X0))) [input p3]
23. ~calm(paul) [input hypothesis]
48. ! [X0] : ((calm(X0) | (calm(X0) & ~kind(X0))) & ((~calm(X0) | kind(X0)) | ~calm(X0))) [nnf transformation 4]... | 0 |
If susan is not kind or strong then someone is both creative and not strong and vice versa. If lucy is both patient and funny then paul is either not brave or not curious and vice versa. Everyone who is either not wise or not funny is calm and vice versa. If paul is not patient then someone is not humble. Everyone who ... | Mary is not tall. | contradiction | (((~kind(susan)|strong(susan)))<=>(?[X]:((creative(X)&~strong(X)))))&
(((patient(lucy)&funny(lucy)))<=>((~brave(paul)<~>~curious(paul))))&
(![X]:((~wise(X)<~>~funny(X))<=>calm(X)))&
((~patient(paul))=>(?[X]:(~humble(X))))&
(![X]:((~brave(X)<~>~creative(X))<=>~calm(X)))&
(![X]:((~funny(X)|~patient(X))<=>(~wise(X)&~humbl... | ~tall(mary) | [
"p5",
"p6",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2273483016855477403901115
% SZS output start Proof for 2273483016855477403901115
6. ! [X0] : ((~patient(X0) | ~funny(X0)) <=> (~humble(X0) & ~wise(X0))) [input p5]
7. ! [X0] : (~humble(X0) => happy(X0)) [input p6]
12. ! [X0] : ((wise(X0) & tall(X0)) <=> (~calm(X0) | patient(X0))) [input p... | 0 |
Everyone who is not quiet is either not quiet or not wise.
Everyone who is not wise or not strong is tall and vice versa.
Everyone who is both humble and not calm is calm.
If fred is not creative or funny then someone is either brave or kind and vice versa.
If john is not rich or not kind then mary is not kind.
If some... | Paul is old. | contradiction | (![X]:(~quiet(X)=>(~quiet(X)<~>~wise(X))))&
(![X]:((~wise(X)|~strong(X))<=>tall(X)))&
(![X]:((humble(X)&~calm(X))=>calm(X)))&
(((~creative(fred)|funny(fred)))<=>(?[X]:((brave(X)<~>kind(X)))))&
(((~rich(john)|~kind(john)))=>(~kind(mary)))&
((?[X]:((~creative(X)&~funny(X))))<=>(?[X]:((~happy(X)|creative(X)))))&
(((~funny... | old(paul) | [
"p0",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5156082197389034159139772
% SZS output start Proof for 5156082197389034159139772
1. ! [X0] : (~quiet(X0) => (~quiet(X0) <~> ~wise(X0))) [input p0]
15. ! [X0] : ((kind(X0) | ~wise(X0)) <=> (~quiet(X0) | ~old(X0))) [input p14]
19. ~wise(paul) [input p18]
24. old(paul) [input hypothesis]
28.... | 0 |
If john is either not quiet or not tall then someone is both tall and rich. Everyone who is calm or not quiet is either not curious or happy and vice versa. Everyone who is either not curious or brave is not old and vice versa. If someone is calm then someone is not rich or not happy and vice versa. Everyone who is not... | Alice is not funny. | contradiction | (((~quiet(john)<~>~tall(john)))=>(?[X]:((tall(X)&rich(X)))))&
(![X]:((calm(X)|~quiet(X))<=>(~curious(X)<~>happy(X))))&
(![X]:((~curious(X)<~>brave(X))<=>~old(X)))&
((?[X]:(calm(X)))<=>(?[X]:((~rich(X)|~happy(X)))))&
(![X]:((~generous(X)|~funny(X))=>(old(X)&curious(X))))&
((?[X]:(~curious(X)))=>(?[X]:((old(X)&~calm(X)))... | ~funny(alice) | [
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6567818366048679380599439
% SZS output start Proof for 6567818366048679380599439
3. ! [X0] : ((~curious(X0) <~> brave(X0)) <=> ~old(X0)) [input p2]
5. ! [X0] : ((~funny(X0) | ~generous(X0)) => (curious(X0) & old(X0))) [input p4]
8. ! [X0] : ((~brave(X0) & ~humble(X0)) <=> humble(X0)) [inp... | 0 |
If paul is rich or not curious then paul is not old or calm.
If john is not wise then fred is both creative and calm and vice versa.
Everyone who is both not curious and not quiet is either not tall or not rich.
If mary is either generous or not creative then susan is either brave or not strong and vice versa.
Everyone... | Mary is not old. | contradiction | (((rich(paul)|~curious(paul)))=>((~old(paul)|calm(paul))))&
((~wise(john))<=>((creative(fred)&calm(fred))))&
(![X]:((~curious(X)&~quiet(X))=>(~tall(X)<~>~rich(X))))&
(((generous(mary)<~>~creative(mary)))<=>((brave(susan)<~>~strong(susan))))&
(![X]:((~funny(X)&patient(X))=>(rich(X)&tall(X))))&
(![X]:(brave(X)=>(~creativ... | ~old(mary) | [
"p4",
"p7",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8678918348487556306296552
% SZS output start Proof for 8678918348487556306296552
5. ! [X0] : ((patient(X0) & ~funny(X0)) => (tall(X0) & rich(X0))) [input p4]
8. ? [X0] : (funny(X0) & ~old(X0)) => (~curious(alice) & ~creative(alice)) [input p7]
9. ! [X0] : ((~generous(X0) & generous(X0)) <... | 0 |
If someone is not humble then alice is both not tall and quiet. Everyone who is creative or calm is both not patient and not creative. Everyone who is not old is either not rich or not funny. If paul is happy or not quiet then someone is not calm and vice versa. If someone is both tall and not rich then susan is either... | Paul is calm. | contradiction | ((?[X]:(~humble(X)))=>((~tall(alice)&quiet(alice))))&
(![X]:((creative(X)|calm(X))=>(~patient(X)&~creative(X))))&
(![X]:(~old(X)=>(~rich(X)<~>~funny(X))))&
(((happy(paul)|~quiet(paul)))<=>(?[X]:(~calm(X))))&
((?[X]:((tall(X)&~rich(X))))=>((~funny(susan)<~>~tall(susan))))&
((?[X]:((kind(X)<~>tall(X))))=>(wise(lucy)))&
(... | calm(paul) | [
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 799657745180690784123010
% SZS output start Proof for 799657745180690784123010
2. ! [X0] : ((calm(X0) | creative(X0)) => (~creative(X0) & ~patient(X0))) [input p1]
15. ! [X0] : ((calm(X0) | ~brave(X0)) <=> (~calm(X0) <~> creative(X0))) [input p14]
24. calm(paul) [input hypothesis]
27. ! [... | 0 |
If someone is not brave then someone is either funny or not rich. Everyone who is either kind or strong is either not funny or calm. If someone is calm or creative then someone is both brave and rich. Everyone who is either brave or patient is not rich and vice versa. Everyone who is not tall is not happy. Everyone who... | Paul is funny. | neutral | ((?[X]:(~brave(X)))=>(?[X]:((funny(X)<~>~rich(X)))))&
(![X]:((kind(X)<~>strong(X))=>(~funny(X)<~>calm(X))))&
((?[X]:((calm(X)|creative(X))))=>(?[X]:((brave(X)&rich(X)))))&
(![X]:((brave(X)<~>patient(X))<=>~rich(X)))&
(![X]:(~tall(X)=>~happy(X)))&
(![X]:((calm(X)<~>tall(X))<=>(~rich(X)&~tall(X))))&
(![X]:(~kind(X)=>(~ki... | funny(paul) | [] | null | 0 |
If susan is both brave and old then fred is either not brave or not humble.
Everyone who is both not patient and not funny is both not curious and generous and vice versa.
If paul is not humble then someone is either wise or brave and vice versa.
Everyone who is happy or not old is funny or not kind and vice versa.
If ... | Alice is not strong. | entailment | (((brave(susan)&old(susan)))=>((~brave(fred)<~>~humble(fred))))&
(![X]:((~patient(X)&~funny(X))<=>(~curious(X)&generous(X))))&
((~humble(paul))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((happy(X)|~old(X))<=>(funny(X)|~kind(X))))&
((?[X]:(quiet(X)))<=>(generous(paul)))&
(((~brave(lucy)&~quiet(lucy)))<=>(?[X]:(rich(X))))&... | ~strong(alice) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1185034827238091348694888
% SZS output start Proof for 1185034827238091348694888
17. patient(alice) & ~strong(alice) [input p16]
25. strong(alice) [input hypothesis]
133. ~strong(alice) [cnf transformation 17]
148. strong(alice) [cnf transformation 25]
290. $false [subsumption resolution ... | 0 |
If someone is old then someone is curious.
If someone is not tall then someone is not rich.
Everyone who is either not patient or creative is both not patient and creative.
Everyone who is both kind and not curious is not strong and vice versa.
If john is not quiet then alice is not tall or calm.
Everyone who is patien... | Paul is not brave. | entailment | ((?[X]:(old(X)))=>(?[X]:(curious(X))))&
((?[X]:(~tall(X)))=>(?[X]:(~rich(X))))&
(![X]:((~patient(X)<~>creative(X))=>(~patient(X)&creative(X))))&
(![X]:((kind(X)&~curious(X))<=>~strong(X)))&
((~quiet(john))=>((~tall(alice)|calm(alice))))&
(![X]:(patient(X)=>(~creative(X)&quiet(X))))&
(((~funny(mary)|~brave(mary)))<=>(~f... | ~brave(paul) | [
"p2",
"p5",
"p7",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 50334495813608464548793
% SZS output start Proof for 50334495813608464548793
3. ! [X0] : ((~patient(X0) <~> creative(X0)) => (creative(X0) & ~patient(X0))) [input p2]
6. ! [X0] : (patient(X0) => (quiet(X0) & ~creative(X0))) [input p5]
8. ? [X0] : (brave(X0) <~> ~creative(X0)) => ? [X0] : ... | 0 |
Everyone who is not quiet is not creative.
Everyone who is either not brave or rich is both not curious and calm.
If someone is either not curious or not tall then someone is both kind and not calm and vice versa.
If susan is not kind or not happy then someone is both humble and not humble.
Everyone who is old is not c... | John is not strong. | contradiction | (![X]:(~quiet(X)=>~creative(X)))&
(![X]:((~brave(X)<~>rich(X))=>(~curious(X)&calm(X))))&
((?[X]:((~curious(X)<~>~tall(X))))<=>(?[X]:((kind(X)&~calm(X)))))&
(((~kind(susan)|~happy(susan)))=>(?[X]:((humble(X)&~humble(X)))))&
(![X]:(old(X)<=>~calm(X)))&
(![X]:((funny(X)|~happy(X))<=>~humble(X)))&
(![X]:((~happy(X)|creativ... | ~strong(john) | [
"p4",
"p6",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 395373593644875710578098
% SZS output start Proof for 395373593644875710578098
5. ! [X0] : (old(X0) <=> ~calm(X0)) [input p4]
7. ! [X0] : ((creative(X0) | ~happy(X0)) <=> (happy(X0) & funny(X0))) [input p6]
10. ! [X0] : ((~humble(X0) | ~brave(X0)) <=> (~strong(X0) <~> old(X0))) [input p9]... | 0 |
If someone is either calm or not wise then someone is not kind and vice versa.
If someone is kind or not generous then someone is either brave or happy and vice versa.
Everyone who is both quiet and not strong is either tall or not kind and vice versa.
If someone is either not patient or kind then john is old and vice ... | Mary is rich. | entailment | ((?[X]:((calm(X)<~>~wise(X))))<=>(?[X]:(~kind(X))))&
((?[X]:((kind(X)|~generous(X))))<=>(?[X]:((brave(X)<~>happy(X)))))&
(![X]:((quiet(X)&~strong(X))<=>(tall(X)<~>~kind(X))))&
((?[X]:((~patient(X)<~>kind(X))))<=>(old(john)))&
((?[X]:((~brave(X)|~creative(X))))<=>((humble(mary)<~>brave(mary))))&
((?[X]:((strong(X)&~rich... | rich(mary) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1323350160843672311864539
% SZS output start Proof for 1323350160843672311864539
17. ~curious(mary) & rich(mary) [input p16]
25. ~rich(mary) [input hypothesis]
33. rich(mary) [pure predicate removal 17]
139. rich(mary) [cnf transformation 33]
149. ~rich(mary) [cnf transformation 25]
346. ... | 0 |
Everyone who is not humble is both patient and not generous and vice versa.
Everyone who is not quiet is either calm or not generous and vice versa.
If someone is not kind or old then someone is creative.
Everyone who is not creative is kind or not brave.
If john is either quiet or curious then someone is both curious ... | Mary is not happy. | contradiction | (![X]:(~humble(X)<=>(patient(X)&~generous(X))))&
(![X]:(~quiet(X)<=>(calm(X)<~>~generous(X))))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(creative(X))))&
(![X]:(~creative(X)=>(kind(X)|~brave(X))))&
(((quiet(john)<~>curious(john)))=>(?[X]:((curious(X)&tall(X)))))&
(![X]:((curious(X)<~>humble(X))<=>(generous(X)&tall(X))))&
((?... | ~happy(mary) | [
"p10",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8974460613770324135654365
% SZS output start Proof for 8974460613770324135654365
11. ? [X0] : (creative(X0) | patient(X0)) <=> (happy(mary) & ~wise(mary)) [input p10]
15. ! [X0] : ((tall(X0) & ~creative(X0)) <=> (~creative(X0) | ~strong(X0))) [input p14]
24. ~old(susan) & ~tall(susan) [in... | 0 |
Everyone who is both creative and brave is either not wise or not brave. If someone is tall then someone is both not patient and generous. Everyone who is either rich or not wise is happy and vice versa. If someone is both not creative and not kind then john is rich and vice versa. If lucy is creative or not happy then... | John is not happy. | entailment | (![X]:((creative(X)&brave(X))=>(~wise(X)<~>~brave(X))))&
((?[X]:(tall(X)))=>(?[X]:((~patient(X)&generous(X)))))&
(![X]:((rich(X)<~>~wise(X))<=>happy(X)))&
((?[X]:((~creative(X)&~kind(X))))<=>(rich(john)))&
(((creative(lucy)|~happy(lucy)))<=>(?[X]:((calm(X)|happy(X)))))&
((?[X]:((brave(X)|~brave(X))))=>(~calm(fred)))&
(... | ~happy(john) | [
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8875095740205359147922572
% SZS output start Proof for 8875095740205359147922572
10. ! [X0] : ((~happy(X0) | rich(X0)) => (curious(X0) & ~happy(X0))) [input p9]
13. ! [X0] : ((tall(X0) & ~calm(X0)) <=> ~rich(X0)) [input p12]
15. ! [X0] : ((~funny(X0) & calm(X0)) <=> (~generous(X0) | happy... | 0 |
If susan is both generous and not curious then mary is both rich and not old.
Everyone who is calm is both humble and not patient and vice versa.
Everyone who is both quiet and not old is not happy and vice versa.
If someone is both old and not brave then john is old or not old and vice versa.
If someone is both not cr... | Paul is funny. | neutral | (((generous(susan)&~curious(susan)))=>((rich(mary)&~old(mary))))&
(![X]:(calm(X)<=>(humble(X)&~patient(X))))&
(![X]:((quiet(X)&~old(X))<=>~happy(X)))&
((?[X]:((old(X)&~brave(X))))<=>((old(john)|~old(john))))&
((?[X]:((~creative(X)&rich(X))))<=>(~quiet(mary)))&
(((patient(john)<~>~happy(john)))<=>(?[X]:(~creative(X))))&... | funny(paul) | [] | null | 0 |
If someone is not patient then susan is both not tall and not generous. Everyone who is generous is both creative and old. If someone is either tall or not happy then someone is not strong or kind. Everyone who is not quiet or not brave is both not patient and not strong and vice versa. Everyone who is not tall or not ... | Lucy is generous. | entailment | ((?[X]:(~patient(X)))=>((~tall(susan)&~generous(susan))))&
(![X]:(generous(X)=>(creative(X)&old(X))))&
((?[X]:((tall(X)<~>~happy(X))))=>(?[X]:((~strong(X)|kind(X)))))&
(![X]:((~quiet(X)|~brave(X))<=>(~patient(X)&~strong(X))))&
(![X]:((~tall(X)|~strong(X))=>(calm(X)<~>generous(X))))&
(![X]:((~brave(X)&~funny(X))<=>happy... | generous(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8073256461925992391441465
% SZS output start Proof for 8073256461925992391441465
15. ! [X0] : ((generous(X0) <~> ~curious(X0)) <=> curious(X0)) [input p14]
22. ~generous(lucy) [input hypothesis]
63. ! [X0] : ((((curious(X0) | ~generous(X0)) & (~curious(X0) | generous(X0))) | ~curious(X0))... | 0 |
Everyone who is both not calm and old is not old and vice versa.
If someone is both not humble and not generous then someone is both not kind and generous.
If someone is creative or calm then someone is strong or brave.
If susan is both not rich and not brave then fred is funny.
Everyone who is either creative or old i... | John is old. | entailment | (![X]:((~calm(X)&old(X))<=>~old(X)))&
((?[X]:((~humble(X)&~generous(X))))=>(?[X]:((~kind(X)&generous(X)))))&
((?[X]:((creative(X)|calm(X))))=>(?[X]:((strong(X)|brave(X)))))&
(((~rich(susan)&~brave(susan)))=>(funny(fred)))&
(![X]:((creative(X)<~>old(X))<=>(~generous(X)<~>~creative(X))))&
((~creative(susan))=>(?[X]:((cre... | old(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 634706619447016640891899
% SZS output start Proof for 634706619447016640891899
1. ! [X0] : ((old(X0) & ~calm(X0)) <=> ~old(X0)) [input p0]
21. ~old(john) [input hypothesis]
33. ! [X0] : (((old(X0) & ~calm(X0)) | old(X0)) & (~old(X0) | (~old(X0) | calm(X0)))) [nnf transformation 1]
34. ! [... | 0 |
If alice is either not humble or not calm then alice is curious and vice versa. Everyone who is happy or not humble is either not rich or not wise. If someone is both tall and happy then someone is not generous and vice versa. Everyone who is either not brave or brave is either not funny or not calm and vice versa. Eve... | Paul is not tall. | neutral | (((~humble(alice)<~>~calm(alice)))<=>(curious(alice)))&
(![X]:((happy(X)|~humble(X))=>(~rich(X)<~>~wise(X))))&
((?[X]:((tall(X)&happy(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~brave(X)<~>brave(X))<=>(~funny(X)<~>~calm(X))))&
(![X]:(tall(X)=>(~tall(X)<~>rich(X))))&
(![X]:((~happy(X)<~>~funny(X))<=>(brave(X)&~happy(X))))&... | ~tall(paul) | [] | null | 0 |
Everyone who is funny is either curious or strong.
If mary is not calm then fred is either not brave or not happy.
Everyone who is either not old or kind is calm or not humble.
Everyone who is humble is rich or not wise and vice versa.
Everyone who is strong is curious or calm.
If someone is both not kind and strong th... | Fred is tall. | neutral | (![X]:(funny(X)=>(curious(X)<~>strong(X))))&
((~calm(mary))=>((~brave(fred)<~>~happy(fred))))&
(![X]:((~old(X)<~>kind(X))=>(calm(X)|~humble(X))))&
(![X]:(humble(X)<=>(rich(X)|~wise(X))))&
(![X]:(strong(X)=>(curious(X)|calm(X))))&
((?[X]:((~kind(X)&strong(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(humble(X)=>(old(X)<~>~creativ... | tall(fred) | [] | null | 0 |
If susan is both kind and not creative then alice is either not tall or not patient and vice versa.
Everyone who is not wise is either calm or not calm and vice versa.
If alice is not humble then john is humble and vice versa.
Everyone who is both not quiet and not kind is either not happy or strong and vice versa.
If ... | John is creative. | neutral | (((kind(susan)&~creative(susan)))<=>((~tall(alice)<~>~patient(alice))))&
(![X]:(~wise(X)<=>(calm(X)<~>~calm(X))))&
((~humble(alice))<=>(humble(john)))&
(![X]:((~quiet(X)&~kind(X))<=>(~happy(X)<~>strong(X))))&
((?[X]:((~old(X)<~>~generous(X))))<=>(?[X]:((~wise(X)&strong(X)))))&
(![X]:((~happy(X)|~kind(X))<=>(kind(X)|pat... | creative(john) | [] | null | 0 |
If john is either not funny or quiet then alice is quiet or generous.
Everyone who is humble or tall is not patient and vice versa.
If someone is not kind or not tall then someone is humble or not rich and vice versa.
Everyone who is both strong and wise is not humble or kind.
Everyone who is not strong or old is eithe... | Fred is wise. | neutral | (((~funny(john)<~>quiet(john)))=>((quiet(alice)|generous(alice))))&
(![X]:((humble(X)|tall(X))<=>~patient(X)))&
((?[X]:((~kind(X)|~tall(X))))<=>(?[X]:((humble(X)|~rich(X)))))&
(![X]:((strong(X)&wise(X))=>(~humble(X)|kind(X))))&
(![X]:((~strong(X)|old(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((rich(X)&~quiet(X))<=>(~brave(... | wise(fred) | [] | null | 0 |
If mary is not quiet or not creative then someone is kind and vice versa.
If someone is both not wise and wise then someone is not calm or not patient and vice versa.
Everyone who is both not creative and funny is calm and vice versa.
Everyone who is not curious is not rich and vice versa.
If fred is either not rich or... | Fred is calm. | entailment | (((~quiet(mary)|~creative(mary)))<=>(?[X]:(kind(X))))&
((?[X]:((~wise(X)&wise(X))))<=>(?[X]:((~calm(X)|~patient(X)))))&
(![X]:((~creative(X)&funny(X))<=>calm(X)))&
(![X]:(~curious(X)<=>~rich(X)))&
(((~rich(fred)<~>~calm(fred)))<=>(humble(fred)))&
(((funny(paul)&curious(paul)))=>((~calm(mary)&~old(mary))))&
((?[X]:(~tal... | calm(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8890993306100924990672730
% SZS output start Proof for 8890993306100924990672730
2. ? [X0] : (wise(X0) & ~wise(X0)) <=> ? [X0] : (~patient(X0) | ~calm(X0)) [input p1]
24. ~calm(fred) [input hypothesis]
25. ? [X0] : (wise(X0) & ~wise(X0)) <=> ? [X1] : (~patient(X1) | ~calm(X1)) [rectify 2]... | 0 |
If someone is not quiet then susan is both old and brave.
Everyone who is humble or rich is not old.
Everyone who is funny is either not humble or curious and vice versa.
If john is not happy then someone is not humble.
Everyone who is both calm and not wise is not quiet and vice versa.
Everyone who is both curious and... | Mary is patient. | neutral | ((?[X]:(~quiet(X)))=>((old(susan)&brave(susan))))&
(![X]:((humble(X)|rich(X))=>~old(X)))&
(![X]:(funny(X)<=>(~humble(X)<~>curious(X))))&
((~happy(john))=>(?[X]:(~humble(X))))&
(![X]:((calm(X)&~wise(X))<=>~quiet(X)))&
(![X]:((curious(X)&~wise(X))<=>(~kind(X)<~>~rich(X))))&
(((~rich(susan)|generous(susan)))<=>((~calm(joh... | patient(mary) | [] | null | 0 |
If alice is either calm or patient then someone is either curious or not funny and vice versa.
If someone is either curious or not calm then someone is not patient.
Everyone who is both not brave and patient is kind.
If someone is either not rich or calm then lucy is either not happy or happy.
Everyone who is tall is e... | Fred is generous. | contradiction | (((calm(alice)<~>patient(alice)))<=>(?[X]:((curious(X)<~>~funny(X)))))&
((?[X]:((curious(X)<~>~calm(X))))=>(?[X]:(~patient(X))))&
(![X]:((~brave(X)&patient(X))=>kind(X)))&
((?[X]:((~rich(X)<~>calm(X))))=>((~happy(lucy)<~>happy(lucy))))&
(![X]:(tall(X)=>(~creative(X)<~>~tall(X))))&
((?[X]:(~brave(X)))=>(?[X]:((~happy(X)... | generous(fred) | [
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4567095510958960373417839
% SZS output start Proof for 4567095510958960373417839
7. ! [X0] : ((humble(X0) <~> ~rich(X0)) <=> (humble(X0) | strong(X0))) [input p6]
11. ! [X0] : ((strong(X0) | generous(X0)) => (~tall(X0) & ~rich(X0))) [input p10]
13. ! [X0] : (~humble(X0) <=> ~strong(X0)) [... | 0 |
If mary is not tall then someone is both patient and generous. Everyone who is both not old and not strong is both tall and funny and vice versa. Everyone who is either not creative or not wise is either not old or tall. If alice is either generous or wise then john is both wise and old. Everyone who is both not humble... | John is not kind. | entailment | ((~tall(mary))=>(?[X]:((patient(X)&generous(X)))))&
(![X]:((~old(X)&~strong(X))<=>(tall(X)&funny(X))))&
(![X]:((~creative(X)<~>~wise(X))=>(~old(X)<~>tall(X))))&
(((generous(alice)<~>wise(alice)))=>((wise(john)&old(john))))&
(![X]:((~humble(X)&humble(X))<=>(tall(X)|~curious(X))))&
(![X]:((brave(X)&happy(X))<=>(rich(X)&~... | ~kind(john) | [
"p5",
"p7",
"p8",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 710084811975542635453555
% SZS output start Proof for 710084811975542635453555
6. ! [X0] : ((happy(X0) & brave(X0)) <=> (~funny(X0) & rich(X0))) [input p5]
8. ! [X0] : (~kind(X0) <=> funny(X0)) [input p7]
9. ! [X0] : (humble(X0) <=> (old(X0) <~> ~brave(X0))) [input p8]
10. ? [X0] : (~humb... | 0 |
Everyone who is either not patient or not generous is both generous and not happy. If someone is creative or not humble then paul is not tall and vice versa. If lucy is not calm or not wise then alice is both creative and kind. Everyone who is both old and not tall is either not rich or not curious and vice versa. Ever... | Alice is not patient. | neutral | (![X]:((~patient(X)<~>~generous(X))=>(generous(X)&~happy(X))))&
((?[X]:((creative(X)|~humble(X))))<=>(~tall(paul)))&
(((~calm(lucy)|~wise(lucy)))=>((creative(alice)&kind(alice))))&
(![X]:((old(X)&~tall(X))<=>(~rich(X)<~>~curious(X))))&
(![X]:((happy(X)|~patient(X))=>generous(X)))&
(![X]:((brave(X)<~>~funny(X))<=>calm(X... | ~patient(alice) | [] | null | 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 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 |
If lucy is either wise or not generous then someone is not tall and vice versa.
Everyone who is not creative or patient is either calm or rich and vice versa.
Everyone who is both calm and creative is tall.
Everyone who is both rich and happy is both not creative and not quiet and vice versa.
If someone is not rich the... | Alice is patient. | entailment | (((wise(lucy)<~>~generous(lucy)))<=>(?[X]:(~tall(X))))&
(![X]:((~creative(X)|patient(X))<=>(calm(X)<~>rich(X))))&
(![X]:((calm(X)&creative(X))=>tall(X)))&
(![X]:((rich(X)&happy(X))<=>(~creative(X)&~quiet(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((~wise(X)&~calm(X)))))&
(![X]:((~creative(X)|quiet(X))=>(~funny(X)|funny(X))))&
(... | patient(alice) | [
"p1",
"p4",
"p6",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5696612283621120829743857
% SZS output start Proof for 5696612283621120829743857
2. ! [X0] : ((patient(X0) | ~creative(X0)) <=> (calm(X0) <~> rich(X0))) [input p1]
5. ? [X0] : ~rich(X0) <=> ? [X0] : (~calm(X0) & ~wise(X0)) [input p4]
7. ! [X0] : ((~creative(X0) & creative(X0)) <=> (~wise(... | 0 |
If fred is both not quiet and rich then someone is not patient or not strong and vice versa.
If lucy is curious then susan is both humble and not calm.
Everyone who is both quiet and not rich is calm and vice versa.
If susan is either not strong or wise then someone is either not happy or old and vice versa.
Everyone w... | Susan is not creative. | neutral | (((~quiet(fred)&rich(fred)))<=>(?[X]:((~patient(X)|~strong(X)))))&
((curious(lucy))=>((humble(susan)&~calm(susan))))&
(![X]:((quiet(X)&~rich(X))<=>calm(X)))&
(((~strong(susan)<~>wise(susan)))<=>(?[X]:((~happy(X)<~>old(X)))))&
(![X]:((calm(X)&curious(X))=>(kind(X)|curious(X))))&
((?[X]:(old(X)))<=>((humble(fred)<~>quiet... | ~creative(susan) | [] | null | 0 |
Everyone who is not wise or not tall is both not calm and not funny and vice versa. Everyone who is both quiet and curious is either brave or not patient. If fred is generous then lucy is either curious or calm. If someone is kind then paul is both not funny and not tall and vice versa. If lucy is both curious and humb... | John is not rich. | contradiction | (![X]:((~wise(X)|~tall(X))<=>(~calm(X)&~funny(X))))&
(![X]:((quiet(X)&curious(X))=>(brave(X)<~>~patient(X))))&
((generous(fred))=>((curious(lucy)<~>calm(lucy))))&
((?[X]:(kind(X)))<=>((~funny(paul)&~tall(paul))))&
(((curious(lucy)&humble(lucy)))=>((curious(john)<~>rich(john))))&
((?[X]:((creative(X)|~kind(X))))=>(?[X]:... | ~rich(john) | [
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6168977290292085191904794
% SZS output start Proof for 6168977290292085191904794
9. ! [X0] : (~rich(X0) <=> ~quiet(X0)) [input p8]
20. quiet(john) & ~brave(john) [input p19]
25. ~rich(john) [input hypothesis]
58. ! [X0] : ((~rich(X0) | quiet(X0)) & (~quiet(X0) | rich(X0))) [nnf transforma... | 0 |
Everyone who is generous or rich is both not wise and not calm.
If someone is not happy or not generous then paul is either happy or not generous and vice versa.
Everyone who is both tall and generous is not happy or not kind and vice versa.
Everyone who is both not funny and brave is creative and vice versa.
If someon... | Fred is not calm. | entailment | (![X]:((generous(X)|rich(X))=>(~wise(X)&~calm(X))))&
((?[X]:((~happy(X)|~generous(X))))<=>((happy(paul)<~>~generous(paul))))&
(![X]:((tall(X)&generous(X))<=>(~happy(X)|~kind(X))))&
(![X]:((~funny(X)&brave(X))<=>creative(X)))&
((?[X]:((~generous(X)|strong(X))))<=>(?[X]:((quiet(X)&~humble(X)))))&
(((~happy(lucy)|humble(l... | ~calm(fred) | [
"p0",
"p1",
"p2",
"p8",
"p9",
"p11",
"p13",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3473992208190521179273807
% SZS output start Proof for 3473992208190521179273807
1. ! [X0] : ((rich(X0) | generous(X0)) => (~calm(X0) & ~wise(X0))) [input p0]
2. ? [X0] : (~generous(X0) | ~happy(X0)) <=> (happy(paul) <~> ~generous(paul)) [input p1]
3. ! [X0] : ((generous(X0) & tall(X0)) <... | 0 |
If someone is either not old or quiet then someone is either not kind or wise.
Everyone who is patient is both not patient and quiet and vice versa.
If paul is strong then someone is strong.
Everyone who is old or not quiet is both curious and not brave.
If paul is either wise or not old then fred is tall.
Everyone who... | Paul is not happy. | entailment | ((?[X]:((~old(X)<~>quiet(X))))=>(?[X]:((~kind(X)<~>wise(X)))))&
(![X]:(patient(X)<=>(~patient(X)&quiet(X))))&
((strong(paul))=>(?[X]:(strong(X))))&
(![X]:((old(X)|~quiet(X))=>(curious(X)&~brave(X))))&
(((wise(paul)<~>~old(paul)))=>(tall(fred)))&
(![X]:((~quiet(X)&~patient(X))=>(~tall(X)&old(X))))&
(![X]:((~quiet(X)&qui... | ~happy(paul) | [
"p1",
"p3",
"p6",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1108067419609928493298543
% SZS output start Proof for 1108067419609928493298543
2. ! [X0] : (patient(X0) <=> (quiet(X0) & ~patient(X0))) [input p1]
4. ! [X0] : ((~quiet(X0) | old(X0)) => (~brave(X0) & curious(X0))) [input p3]
7. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (~generous(X0) <~> ~... | 0 |
Everyone who is not brave or not calm is not kind and vice versa.
Everyone who is either funny or not quiet is happy or not wise and vice versa.
Everyone who is old or brave is both tall and not humble and vice versa.
Everyone who is either not happy or happy is both not curious and quiet.
Everyone who is not calm is b... | Mary is not generous. | entailment | (![X]:((~brave(X)|~calm(X))<=>~kind(X)))&
(![X]:((funny(X)<~>~quiet(X))<=>(happy(X)|~wise(X))))&
(![X]:((old(X)|brave(X))<=>(tall(X)&~humble(X))))&
(![X]:((~happy(X)<~>happy(X))=>(~curious(X)&quiet(X))))&
(![X]:(~calm(X)<=>(curious(X)&~strong(X))))&
(![X]:((~kind(X)|~brave(X))<=>(creative(X)<~>~wise(X))))&
(![X]:((calm... | ~generous(mary) | [
"p0",
"p3",
"p4",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2156846028920679663231412
% SZS output start Proof for 2156846028920679663231412
1. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> ~kind(X0)) [input p0]
4. ! [X0] : ((~happy(X0) <~> happy(X0)) => (quiet(X0) & ~curious(X0))) [input p3]
5. ! [X0] : (~calm(X0) <=> (~strong(X0) & curious(X0))) [input... | 0 |
Everyone who is not curious or not happy is not humble and vice versa. Everyone who is either not humble or happy is either not brave or not patient. Everyone who is not happy is calm. If someone is both not humble and kind then someone is either funny or not funny. Everyone who is either old or wise is either calm or ... | Fred is not humble. | entailment | (![X]:((~curious(X)|~happy(X))<=>~humble(X)))&
(![X]:((~humble(X)<~>happy(X))=>(~brave(X)<~>~patient(X))))&
(![X]:(~happy(X)=>calm(X)))&
((?[X]:((~humble(X)&kind(X))))=>(?[X]:((funny(X)<~>~funny(X)))))&
(![X]:((old(X)<~>wise(X))<=>(calm(X)<~>~calm(X))))&
((?[X]:((kind(X)&~funny(X))))<=>(?[X]:((quiet(X)&~rich(X)))))&
((... | ~humble(fred) | [
"p0",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 192762994293656073518609
% SZS output start Proof for 192762994293656073518609
1. ! [X0] : ((~happy(X0) | ~curious(X0)) <=> ~humble(X0)) [input p0]
10. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> patient(X0)) [input p9]
11. ! [X0] : ((tall(X0) & strong(X0)) <=> (curious(X0) | brave(X0))) [i... | 0 |
Everyone who is both not wise and curious is not curious or happy. If paul is happy or tall then mary is kind and vice versa. If fred is both not brave and not wise then paul is rich and vice versa. Everyone who is either kind or not quiet is strong. If someone is either calm or not quiet then someone is either calm or... | Lucy is old. | neutral | (![X]:((~wise(X)&curious(X))=>(~curious(X)|happy(X))))&
(((happy(paul)|tall(paul)))<=>(kind(mary)))&
(((~brave(fred)&~wise(fred)))<=>(rich(paul)))&
(![X]:((kind(X)<~>~quiet(X))=>strong(X)))&
((?[X]:((calm(X)<~>~quiet(X))))=>(?[X]:((calm(X)<~>~calm(X)))))&
(![X]:((~humble(X)&~creative(X))=>~generous(X)))&
((?[X]:(brave(... | old(lucy) | [] | null | 0 |
Everyone who is kind is both not tall and not creative. If someone is either old or creative then alice is not wise or quiet and vice versa. Everyone who is brave or tall is both not patient and old and vice versa. If someone is either calm or not strong then mary is either not old or kind. Everyone who is either old o... | Mary is not generous. | contradiction | (![X]:(kind(X)=>(~tall(X)&~creative(X))))&
((?[X]:((old(X)<~>creative(X))))<=>((~wise(alice)|quiet(alice))))&
(![X]:((brave(X)|tall(X))<=>(~patient(X)&old(X))))&
((?[X]:((calm(X)<~>~strong(X))))=>((~old(mary)<~>kind(mary))))&
(![X]:((old(X)<~>~strong(X))=>(~kind(X)|~funny(X))))&
(((~patient(paul)&~rich(paul)))=>(?[X]:(... | ~generous(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1686388707844808813344937
% SZS output start Proof for 1686388707844808813344937
13. (~quiet(susan) & quiet(susan)) <=> ? [X0] : ~generous(X0) [input p12]
23. ~generous(mary) [input hypothesis]
57. ((~quiet(susan) & quiet(susan)) | ! [X0] : generous(X0)) & (? [X0] : ~generous(X0) | (quiet... | 0 |
If someone is not calm then someone is either not calm or tall. If someone is old or not patient then someone is both not old and humble. Everyone who is not patient or not generous is either not calm or not wise. If susan is generous or not strong then someone is not funny. If someone is either not patient or not curi... | Susan is tall. | neutral | ((?[X]:(~calm(X)))=>(?[X]:((~calm(X)<~>tall(X)))))&
((?[X]:((old(X)|~patient(X))))=>(?[X]:((~old(X)&humble(X)))))&
(![X]:((~patient(X)|~generous(X))=>(~calm(X)<~>~wise(X))))&
(((generous(susan)|~strong(susan)))=>(?[X]:(~funny(X))))&
((?[X]:((~patient(X)<~>~curious(X))))<=>(?[X]:((wise(X)&~calm(X)))))&
(((~kind(mary)&~o... | tall(susan) | [] | null | 0 |
Everyone who is not brave or rich is not calm or not wise and vice versa.
Everyone who is both not tall and not curious is calm or generous and vice versa.
Everyone who is both calm and funny is not curious.
Everyone who is brave or not funny is either not funny or not wise and vice versa.
Everyone who is either not ki... | Alice is not curious. | entailment | (![X]:((~brave(X)|rich(X))<=>(~calm(X)|~wise(X))))&
(![X]:((~tall(X)&~curious(X))<=>(calm(X)|generous(X))))&
(![X]:((calm(X)&funny(X))=>~curious(X)))&
(![X]:((brave(X)|~funny(X))<=>(~funny(X)<~>~wise(X))))&
(![X]:((~kind(X)<~>~creative(X))=>(~strong(X)|~wise(X))))&
(((strong(alice)<~>~funny(alice)))<=>((funny(susan)&~p... | ~curious(alice) | [
"p1",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3576636057127278775628985
% SZS output start Proof for 3576636057127278775628985
2. ! [X0] : ((~curious(X0) & ~tall(X0)) <=> (generous(X0) | calm(X0))) [input p1]
24. generous(alice) & ~tall(alice) [input p23]
25. curious(alice) [input hypothesis]
40. ! [X0] : (((~curious(X0) & ~tall(X0))... | 0 |
Everyone who is strong or quiet is strong. If alice is both not rich and patient then someone is tall or not strong and vice versa. If paul is kind then mary is rich and vice versa. If someone is not wise then paul is not kind or old. Everyone who is both wise and rich is both not patient and not calm and vice versa. E... | Fred is humble. | neutral | (![X]:((strong(X)|quiet(X))=>strong(X)))&
(((~rich(alice)&patient(alice)))<=>(?[X]:((tall(X)|~strong(X)))))&
((kind(paul))<=>(rich(mary)))&
((?[X]:(~wise(X)))=>((~kind(paul)|old(paul))))&
(![X]:((wise(X)&rich(X))<=>(~patient(X)&~calm(X))))&
(![X]:((~strong(X)&old(X))=>(wise(X)<~>curious(X))))&
(![X]:(funny(X)=>(brave(X... | humble(fred) | [] | null | 0 |
Everyone who is either generous or not curious is either rich or not kind. Everyone who is both not humble and generous is both humble and wise and vice versa. Everyone who is patient or not calm is either curious or brave and vice versa. If susan is strong then susan is tall and vice versa. Everyone who is both brave ... | Lucy is old. | entailment | (![X]:((generous(X)<~>~curious(X))=>(rich(X)<~>~kind(X))))&
(![X]:((~humble(X)&generous(X))<=>(humble(X)&wise(X))))&
(![X]:((patient(X)|~calm(X))<=>(curious(X)<~>brave(X))))&
((strong(susan))<=>(tall(susan)))&
(![X]:((brave(X)&rich(X))<=>~humble(X)))&
((?[X]:((~patient(X)|~funny(X))))<=>((~tall(lucy)|calm(lucy))))&
(![... | old(lucy) | [
"p1",
"p4",
"p6",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6320749710682026445239217
% SZS output start Proof for 6320749710682026445239217
2. ! [X0] : ((generous(X0) & ~humble(X0)) <=> (wise(X0) & humble(X0))) [input p1]
5. ! [X0] : ((rich(X0) & brave(X0)) <=> ~humble(X0)) [input p4]
7. ! [X0] : ((quiet(X0) | strong(X0)) <=> (~tall(X0) | old(X0)... | 0 |
If someone is either calm or quiet then someone is both not patient and wise and vice versa.
If mary is both humble and not brave then john is not creative.
Everyone who is old or strong is both funny and not quiet and vice versa.
If someone is both strong and not creative then alice is either not tall or patient and v... | Paul is strong. | contradiction | ((?[X]:((calm(X)<~>quiet(X))))<=>(?[X]:((~patient(X)&wise(X)))))&
(((humble(mary)&~brave(mary)))=>(~creative(john)))&
(![X]:((old(X)|strong(X))<=>(funny(X)&~quiet(X))))&
((?[X]:((strong(X)&~creative(X))))<=>((~tall(alice)<~>patient(alice))))&
(![X]:((~strong(X)<~>old(X))=>(strong(X)|quiet(X))))&
(![X]:((~generous(X)<~>... | strong(paul) | [
"p2",
"p6",
"p7",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2625892517014009725888079
% SZS output start Proof for 2625892517014009725888079
3. ! [X0] : ((strong(X0) | old(X0)) <=> (~quiet(X0) & funny(X0))) [input p2]
7. ! [X0] : (old(X0) => (patient(X0) & ~brave(X0))) [input p6]
8. ! [X0] : ((~old(X0) | ~rich(X0)) <=> quiet(X0)) [input p7]
15. ! ... | 0 |
Everyone who is either not calm or wise is both rich and kind.
Everyone who is both not curious and tall is not creative and vice versa.
Everyone who is not brave is either quiet or not wise and vice versa.
Everyone who is both not brave and calm is not creative or kind and vice versa.
If someone is both humble and not... | Mary is not calm. | contradiction | (![X]:((~calm(X)<~>wise(X))=>(rich(X)&kind(X))))&
(![X]:((~curious(X)&tall(X))<=>~creative(X)))&
(![X]:(~brave(X)<=>(quiet(X)<~>~wise(X))))&
(![X]:((~brave(X)&calm(X))<=>(~creative(X)|kind(X))))&
((?[X]:((humble(X)&~quiet(X))))=>((kind(paul)<~>funny(paul))))&
((?[X]:((~strong(X)|generous(X))))<=>((~brave(mary)|strong(m... | ~calm(mary) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7495779967888856913641028
% SZS output start Proof for 7495779967888856913641028
1. ! [X0] : ((~calm(X0) <~> wise(X0)) => (kind(X0) & rich(X0))) [input p0]
2. ! [X0] : ((tall(X0) & ~curious(X0)) <=> ~creative(X0)) [input p1]
4. ! [X0] : ((calm(X0) & ~brave(X0)) <=> (kind(X0) | ~creative(X... | 0 |
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