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 not old or tall is humble or wise. If someone is both not brave and humble then someone is kind. If someone is both not creative and not humble then someone is both strong and not strong and vice versa. If lucy is both old and not kind then alice is old and vice versa. Everyone who is not old or ... | Alice is brave. | contradiction | (![X]:((~old(X)<~>tall(X))=>(humble(X)|wise(X))))&
((?[X]:((~brave(X)&humble(X))))=>(?[X]:(kind(X))))&
((?[X]:((~creative(X)&~humble(X))))<=>(?[X]:((strong(X)&~strong(X)))))&
(((old(lucy)&~kind(lucy)))<=>(old(alice)))&
(![X]:((~old(X)|patient(X))<=>~wise(X)))&
(![X]:(humble(X)=>(creative(X)|~rich(X))))&
(![X]:((curious... | brave(alice) | [
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8718217708423701264110838
% SZS output start Proof for 8718217708423701264110838
9. ! [X0] : ((rich(X0) | ~quiet(X0)) <=> (~brave(X0) & ~quiet(X0))) [input p8]
11. ? [X0] : humble(X0) <=> (rich(alice) & ~creative(alice)) [input p10]
16. ? [X0] : (brave(X0) & quiet(X0)) <=> humble(lucy) [i... | 0 |
Everyone who is either kind or creative is both tall and funny and vice versa.
Everyone who is either curious or not calm is not brave.
If fred is kind or not creative then someone is kind or brave.
Everyone who is old is brave and vice versa.
Everyone who is not old or not curious is either not creative or not brave.
... | Mary is humble. | neutral | (![X]:((kind(X)<~>creative(X))<=>(tall(X)&funny(X))))&
(![X]:((curious(X)<~>~calm(X))=>~brave(X)))&
(((kind(fred)|~creative(fred)))=>(?[X]:((kind(X)|brave(X)))))&
(![X]:(old(X)<=>brave(X)))&
(![X]:((~old(X)|~curious(X))=>(~creative(X)<~>~brave(X))))&
((?[X]:((~patient(X)&~humble(X))))=>((happy(mary)&~quiet(mary))))&
((... | humble(mary) | [] | null | 0 |
If someone is curious or wise then mary is both not old and not strong.
Everyone who is both wise and not old is both tall and not strong and vice versa.
Everyone who is either not curious or not brave is both curious and not strong.
If fred is not tall or tall then alice is not old or not patient.
If someone is either... | Mary is wise. | entailment | ((?[X]:((curious(X)|wise(X))))=>((~old(mary)&~strong(mary))))&
(![X]:((wise(X)&~old(X))<=>(tall(X)&~strong(X))))&
(![X]:((~curious(X)<~>~brave(X))=>(curious(X)&~strong(X))))&
(((~tall(fred)|tall(fred)))=>((~old(alice)|~patient(alice))))&
((?[X]:((~curious(X)<~>tall(X))))<=>((happy(paul)&wise(paul))))&
(![X]:((old(X)|hu... | wise(mary) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p6",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 375658838932172663134602
% SZS output start Proof for 375658838932172663134602
1. ? [X0] : (wise(X0) | curious(X0)) => (~strong(mary) & ~old(mary)) [input p0]
2. ! [X0] : ((~old(X0) & wise(X0)) <=> (~strong(X0) & tall(X0))) [input p1]
3. ! [X0] : ((~curious(X0) <~> ~brave(X0)) => (~strong... | 0 |
If someone is both kind and humble then someone is not strong or quiet and vice versa.
Everyone who is not old or not funny is brave or funny.
Everyone who is not generous or not quiet is not creative and vice versa.
Everyone who is curious or quiet is rich.
Everyone who is not happy or not tall is both curious and kin... | Fred is not calm. | neutral | ((?[X]:((kind(X)&humble(X))))<=>(?[X]:((~strong(X)|quiet(X)))))&
(![X]:((~old(X)|~funny(X))=>(brave(X)|funny(X))))&
(![X]:((~generous(X)|~quiet(X))<=>~creative(X)))&
(![X]:((curious(X)|quiet(X))=>rich(X)))&
(![X]:((~happy(X)|~tall(X))=>(curious(X)&kind(X))))&
((?[X]:(~tall(X)))<=>((strong(fred)<~>~calm(fred))))&
(((cre... | ~calm(fred) | [] | null | 0 |
Everyone who is both not quiet and generous is not calm. Everyone who is not strong is kind or old and vice versa. Everyone who is kind or old is quiet and vice versa. Everyone who is both not humble and funny is either not generous or creative and vice versa. Everyone who is funny or generous is not quiet. If someone ... | Alice is generous. | neutral | (![X]:((~quiet(X)&generous(X))=>~calm(X)))&
(![X]:(~strong(X)<=>(kind(X)|old(X))))&
(![X]:((kind(X)|old(X))<=>quiet(X)))&
(![X]:((~humble(X)&funny(X))<=>(~generous(X)<~>creative(X))))&
(![X]:((funny(X)|generous(X))=>~quiet(X)))&
((?[X]:((tall(X)<~>kind(X))))=>(calm(fred)))&
(![X]:((wise(X)|~patient(X))=>~generous(X)))&... | generous(alice) | [] | null | 0 |
If someone is both strong and kind then paul is either not creative or not kind. If alice is old then mary is wise or not happy and vice versa. If someone is either not wise or humble then alice is wise. If someone is either not generous or kind then mary is either not humble or rich. Everyone who is old is funny or no... | Fred is wise. | entailment | ((?[X]:((strong(X)&kind(X))))=>((~creative(paul)<~>~kind(paul))))&
((old(alice))<=>((wise(mary)|~happy(mary))))&
((?[X]:((~wise(X)<~>humble(X))))=>(wise(alice)))&
((?[X]:((~generous(X)<~>kind(X))))=>((~humble(mary)<~>rich(mary))))&
(![X]:(old(X)<=>(funny(X)|~funny(X))))&
((?[X]:((~rich(X)|kind(X))))<=>((~curious(alice)... | wise(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5873344628079442713328179
% SZS output start Proof for 5873344628079442713328179
22. wise(fred) & ~kind(fred) [input p21]
25. ~wise(fred) [input hypothesis]
138. wise(fred) [cnf transformation 22]
142. ~wise(fred) [cnf transformation 25]
306. $false [subsumption resolution 142,138]
% SZS ... | 0 |
If lucy is curious or not humble then paul is not humble or old and vice versa.
If lucy is both not curious and not rich then mary is not funny or humble.
Everyone who is not curious or rich is both strong and not tall and vice versa.
Everyone who is creative or not brave is either not funny or not brave.
Everyone who ... | Lucy is not tall. | entailment | (((curious(lucy)|~humble(lucy)))<=>((~humble(paul)|old(paul))))&
(((~curious(lucy)&~rich(lucy)))=>((~funny(mary)|humble(mary))))&
(![X]:((~curious(X)|rich(X))<=>(strong(X)&~tall(X))))&
(![X]:((creative(X)|~brave(X))=>(~funny(X)<~>~brave(X))))&
(![X]:(~old(X)=>(~brave(X)<~>funny(X))))&
((strong(susan))<=>((humble(lucy)<... | ~tall(lucy) | [
"p2",
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4271277537405451057905952
% SZS output start Proof for 4271277537405451057905952
3. ! [X0] : ((rich(X0) | ~curious(X0)) <=> (~tall(X0) & strong(X0))) [input p2]
4. ! [X0] : ((~brave(X0) | creative(X0)) => (~funny(X0) <~> ~brave(X0))) [input p3]
10. ! [X0] : ((curious(X0) | ~creative(X0)) ... | 0 |
Everyone who is either humble or not calm is both funny and not tall.
If someone is not humble then someone is both calm and kind and vice versa.
If someone is wise or not wise then susan is either not humble or not wise.
Everyone who is brave or not wise is both not quiet and not old and vice versa.
If susan is genero... | Lucy is not calm. | neutral | (![X]:((humble(X)<~>~calm(X))=>(funny(X)&~tall(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((calm(X)&kind(X)))))&
((?[X]:((wise(X)|~wise(X))))=>((~humble(susan)<~>~wise(susan))))&
(![X]:((brave(X)|~wise(X))<=>(~quiet(X)&~old(X))))&
((generous(susan))<=>(~tall(mary)))&
((~tall(lucy))=>(?[X]:((curious(X)&~curious(X)))))&
((?[X]:... | ~calm(lucy) | [] | null | 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 wise. | 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... | wise(lucy) | [] | null | 0 |
Everyone who is not curious or rich is calm.
If alice is either generous or not generous then alice is both brave and not kind.
Everyone who is not tall or wise is both not rich and quiet and vice versa.
Everyone who is both not tall and not patient is either calm or quiet.
Everyone who is not quiet or not humble is hu... | Mary is not quiet. | neutral | (![X]:((~curious(X)|rich(X))=>calm(X)))&
(((generous(alice)<~>~generous(alice)))=>((brave(alice)&~kind(alice))))&
(![X]:((~tall(X)|wise(X))<=>(~rich(X)&quiet(X))))&
(![X]:((~tall(X)&~patient(X))=>(calm(X)<~>quiet(X))))&
(![X]:((~quiet(X)|~humble(X))=>(humble(X)|old(X))))&
(((~brave(alice)|~happy(alice)))=>(?[X]:((patie... | ~quiet(mary) | [] | null | 0 |
If someone is strong then someone is either not curious or wise and vice versa. Everyone who is either calm or brave is either calm or not wise and vice versa. Everyone who is not tall is not happy and vice versa. Everyone who is not creative is both not funny and strong and vice versa. Everyone who is not patient is b... | Lucy is not kind. | entailment | ((?[X]:(strong(X)))<=>(?[X]:((~curious(X)<~>wise(X)))))&
(![X]:((calm(X)<~>brave(X))<=>(calm(X)<~>~wise(X))))&
(![X]:(~tall(X)<=>~happy(X)))&
(![X]:(~creative(X)<=>(~funny(X)&strong(X))))&
(![X]:(~patient(X)<=>(brave(X)|creative(X))))&
((?[X]:((~happy(X)|humble(X))))=>((curious(lucy)&~patient(lucy))))&
((?[X]:(~brave(X... | ~kind(lucy) | [
"p2",
"p5",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7661858521503565184674313
% SZS output start Proof for 7661858521503565184674313
3. ! [X0] : (~tall(X0) <=> ~happy(X0)) [input p2]
6. ? [X0] : (humble(X0) | ~happy(X0)) => (~patient(lucy) & curious(lucy)) [input p5]
8. ! [X0] : ((~curious(X0) <~> kind(X0)) => ~curious(X0)) [input p7]
14. ... | 0 |
Everyone who is either strong or calm is quiet and vice versa.
If someone is kind or not happy then someone is not kind and vice versa.
Everyone who is not humble is both old and not curious.
Everyone who is generous is both not curious and not kind.
Everyone who is tall or strong is both generous and not patient.
If j... | Fred is brave. | entailment | (![X]:((strong(X)<~>calm(X))<=>quiet(X)))&
((?[X]:((kind(X)|~happy(X))))<=>(?[X]:(~kind(X))))&
(![X]:(~humble(X)=>(old(X)&~curious(X))))&
(![X]:(generous(X)=>(~curious(X)&~kind(X))))&
(![X]:((tall(X)|strong(X))=>(generous(X)&~patient(X))))&
(((~creative(john)<~>~tall(john)))<=>(?[X]:((~brave(X)|patient(X)))))&
((?[X]:(... | brave(fred) | [
"p2",
"p3",
"p4",
"p7",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6457022854759576790432017
% SZS output start Proof for 6457022854759576790432017
3. ! [X0] : (~humble(X0) => (~curious(X0) & old(X0))) [input p2]
4. ! [X0] : (generous(X0) => (~kind(X0) & ~curious(X0))) [input p3]
5. ! [X0] : ((strong(X0) | tall(X0)) => (~patient(X0) & generous(X0))) [inp... | 0 |
Everyone who is not patient or not creative is curious or calm.
Everyone who is not old or wise is either strong or humble.
If someone is either not funny or happy then someone is either not generous or not kind.
Everyone who is not brave is both not funny and not calm.
If someone is both not generous and humble then j... | Mary is rich. | neutral | (![X]:((~patient(X)|~creative(X))=>(curious(X)|calm(X))))&
(![X]:((~old(X)|wise(X))=>(strong(X)<~>humble(X))))&
((?[X]:((~funny(X)<~>happy(X))))=>(?[X]:((~generous(X)<~>~kind(X)))))&
(![X]:(~brave(X)=>(~funny(X)&~calm(X))))&
((?[X]:((~generous(X)&humble(X))))<=>((quiet(john)&generous(john))))&
(![X]:((happy(X)&funny(X)... | rich(mary) | [] | null | 0 |
If someone is not rich then someone is happy and vice versa. If someone is not generous then someone is either wise or not tall and vice versa. If alice is either quiet or not quiet then someone is not tall. If susan is both not creative and old then alice is either humble or happy and vice versa. If mary is brave or n... | Paul is not calm. | neutral | ((?[X]:(~rich(X)))<=>(?[X]:(happy(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((wise(X)<~>~tall(X)))))&
(((quiet(alice)<~>~quiet(alice)))=>(?[X]:(~tall(X))))&
(((~creative(susan)&old(susan)))<=>((humble(alice)<~>happy(alice))))&
(((brave(mary)|~wise(mary)))=>(?[X]:(~creative(X))))&
(((~creative(paul)<~>~patient(paul)))<=>((~... | ~calm(paul) | [] | null | 0 |
If susan is both not brave and old then fred is both not old and not patient and vice versa. If someone is not rich or kind then susan is either funny or brave and vice versa. If susan is not curious then someone is happy. If susan is calm or rich then paul is both not quiet and not curious. If alice is not creative th... | Susan is calm. | contradiction | (((~brave(susan)&old(susan)))<=>((~old(fred)&~patient(fred))))&
((?[X]:((~rich(X)|kind(X))))<=>((funny(susan)<~>brave(susan))))&
((~curious(susan))=>(?[X]:(happy(X))))&
(((calm(susan)|rich(susan)))=>((~quiet(paul)&~curious(paul))))&
((~creative(alice))=>((~rich(alice)<~>kind(alice))))&
(![X]:((creative(X)<~>~brave(X))<... | calm(susan) | [
"p3",
"p6",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8514219609863166860601336
% SZS output start Proof for 8514219609863166860601336
4. (rich(susan) | calm(susan)) => (~curious(paul) & ~quiet(paul)) [input p3]
7. ! [X0] : ((~old(X0) & creative(X0)) <=> (~generous(X0) & ~kind(X0))) [input p6]
11. ! [X0] : ((~curious(X0) & creative(X0)) <=> ... | 0 |
If john is both not curious and funny then someone is wise and vice versa. Everyone who is either generous or not calm is not happy. Everyone who is not calm is tall and vice versa. Everyone who is either creative or humble is generous or not strong. Everyone who is not happy or patient is not old. If susan is either r... | Susan is not strong. | neutral | (((~curious(john)&funny(john)))<=>(?[X]:(wise(X))))&
(![X]:((generous(X)<~>~calm(X))=>~happy(X)))&
(![X]:(~calm(X)<=>tall(X)))&
(![X]:((creative(X)<~>humble(X))=>(generous(X)|~strong(X))))&
(![X]:((~happy(X)|patient(X))=>~old(X)))&
(((rich(susan)<~>~patient(susan)))<=>(?[X]:((~happy(X)|tall(X)))))&
(![X]:((creative(X)|... | ~strong(susan) | [] | null | 0 |
Everyone who is both humble and not calm is either not calm or strong.
Everyone who is not calm or rich is not wise or creative and vice versa.
If someone is both not happy and not rich then john is either not quiet or not strong.
If someone is both not strong and old then john is tall and vice versa.
If someone is tal... | Mary is generous. | neutral | (![X]:((humble(X)&~calm(X))=>(~calm(X)<~>strong(X))))&
(![X]:((~calm(X)|rich(X))<=>(~wise(X)|creative(X))))&
((?[X]:((~happy(X)&~rich(X))))=>((~quiet(john)<~>~strong(john))))&
((?[X]:((~strong(X)&old(X))))<=>(tall(john)))&
((?[X]:((tall(X)|~generous(X))))<=>(?[X]:(curious(X))))&
(((brave(alice)<~>calm(alice)))<=>(?[X]:... | generous(mary) | [] | null | 0 |
If someone is rich or humble then someone is either not rich or happy.
If fred is not strong then someone is both funny and happy and vice versa.
Everyone who is not patient or not strong is both tall and calm and vice versa.
Everyone who is not brave or not patient is wise or not humble and vice versa.
Everyone who is... | Lucy is not patient. | contradiction | ((?[X]:((rich(X)|humble(X))))=>(?[X]:((~rich(X)<~>happy(X)))))&
((~strong(fred))<=>(?[X]:((funny(X)&happy(X)))))&
(![X]:((~patient(X)|~strong(X))<=>(tall(X)&calm(X))))&
(![X]:((~brave(X)|~patient(X))<=>(wise(X)|~humble(X))))&
(![X]:((~calm(X)|~curious(X))<=>(humble(X)&~calm(X))))&
(![X]:(funny(X)<=>(generous(X)|~creati... | ~patient(lucy) | [
"p2",
"p4",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8121848205682090194935904
% SZS output start Proof for 8121848205682090194935904
3. ! [X0] : ((~strong(X0) | ~patient(X0)) <=> (calm(X0) & tall(X0))) [input p2]
5. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> (~calm(X0) & humble(X0))) [input p4]
15. ! [X0] : ((~humble(X0) | ~calm(X0)) => (cur... | 0 |
If lucy is either kind or rich then paul is not patient. If john is either not strong or kind then someone is not calm and vice versa. If someone is either wise or tall then fred is creative or not creative. Everyone who is brave is funny or happy and vice versa. Everyone who is not funny is both creative and not happy... | Susan is not kind. | contradiction | (((kind(lucy)<~>rich(lucy)))=>(~patient(paul)))&
(((~strong(john)<~>kind(john)))<=>(?[X]:(~calm(X))))&
((?[X]:((wise(X)<~>tall(X))))=>((creative(fred)|~creative(fred))))&
(![X]:(brave(X)<=>(funny(X)|happy(X))))&
(![X]:(~funny(X)<=>(creative(X)&~happy(X))))&
(![X]:((~old(X)|humble(X))<=>(curious(X)<~>~tall(X))))&
((?[X]... | ~kind(susan) | [
"p3",
"p4",
"p6",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1591645242385451122904072
% SZS output start Proof for 1591645242385451122904072
4. ! [X0] : (brave(X0) <=> (happy(X0) | funny(X0))) [input p3]
5. ! [X0] : (~funny(X0) <=> (~happy(X0) & creative(X0))) [input p4]
7. ? [X0] : (~kind(X0) & funny(X0)) <=> (calm(fred) & ~creative(fred)) [input... | 0 |
If mary is not funny then paul is tall or not patient. Everyone who is either not brave or wise is both generous and not quiet and vice versa. If someone is either happy or creative then paul is both calm and not tall. If someone is not rich then john is both not quiet and not strong. Everyone who is not curious or bra... | Mary is creative. | neutral | ((~funny(mary))=>((tall(paul)|~patient(paul))))&
(![X]:((~brave(X)<~>wise(X))<=>(generous(X)&~quiet(X))))&
((?[X]:((happy(X)<~>creative(X))))=>((calm(paul)&~tall(paul))))&
((?[X]:(~rich(X)))=>((~quiet(john)&~strong(john))))&
(![X]:((~curious(X)|brave(X))=>(~kind(X)|~brave(X))))&
(![X]:((humble(X)<~>wise(X))<=>old(X)))&... | creative(mary) | [] | null | 0 |
Everyone who is quiet or not strong is humble or not generous.
Everyone who is not curious is either kind or not calm and vice versa.
If someone is rich then someone is either tall or rich and vice versa.
If someone is either old or not brave then john is not strong or wise and vice versa.
Everyone who is funny or not ... | Lucy is not kind. | contradiction | (![X]:((quiet(X)|~strong(X))=>(humble(X)|~generous(X))))&
(![X]:(~curious(X)<=>(kind(X)<~>~calm(X))))&
((?[X]:(rich(X)))<=>(?[X]:((tall(X)<~>rich(X)))))&
((?[X]:((old(X)<~>~brave(X))))<=>((~strong(john)|wise(john))))&
(![X]:((funny(X)|~creative(X))=>(patient(X)|~tall(X))))&
((?[X]:((old(X)|quiet(X))))<=>((~creative(fre... | ~kind(lucy) | [
"p0",
"p7",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4588235693647544027361214
% SZS output start Proof for 4588235693647544027361214
1. ! [X0] : ((~strong(X0) | quiet(X0)) => (~generous(X0) | humble(X0))) [input p0]
8. ! [X0] : ((~generous(X0) <~> calm(X0)) <=> (~funny(X0) & calm(X0))) [input p7]
10. ! [X0] : (~kind(X0) => ~brave(X0)) [inp... | 0 |
If someone is not generous or not creative then susan is either not tall or calm and vice versa. If alice is both generous and not strong then someone is not kind or generous. If mary is either not brave or rich then john is either kind or curious. If someone is happy or not strong then paul is calm or not calm. Everyo... | Alice is not brave. | contradiction | ((?[X]:((~generous(X)|~creative(X))))<=>((~tall(susan)<~>calm(susan))))&
(((generous(alice)&~strong(alice)))=>(?[X]:((~kind(X)|generous(X)))))&
(((~brave(mary)<~>rich(mary)))=>((kind(john)<~>curious(john))))&
((?[X]:((happy(X)|~strong(X))))=>((calm(paul)|~calm(paul))))&
(![X]:((tall(X)&generous(X))=>~humble(X)))&
(![X]... | ~brave(alice) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2254613683844873397936610
% SZS output start Proof for 2254613683844873397936610
1. ? [X0] : (~creative(X0) | ~generous(X0)) <=> (~tall(susan) <~> calm(susan)) [input p0]
5. ! [X0] : ((generous(X0) & tall(X0)) => ~humble(X0)) [input p4]
6. ! [X0] : ((humble(X0) | ~rich(X0)) => (patient(X0... | 0 |
Everyone who is not humble is either not quiet or patient. Everyone who is not quiet or not old is quiet and vice versa. Everyone who is both not humble and not quiet is not generous and vice versa. Everyone who is either curious or not tall is both funny and tall. If someone is both tall and strong then susan is eithe... | John is quiet. | entailment | (![X]:(~humble(X)=>(~quiet(X)<~>patient(X))))&
(![X]:((~quiet(X)|~old(X))<=>quiet(X)))&
(![X]:((~humble(X)&~quiet(X))<=>~generous(X)))&
(![X]:((curious(X)<~>~tall(X))=>(funny(X)&tall(X))))&
((?[X]:((tall(X)&strong(X))))<=>((generous(susan)<~>~curious(susan))))&
(![X]:((rich(X)&happy(X))=>(curious(X)<~>strong(X))))&
(((... | quiet(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7139459661250033768906064
% SZS output start Proof for 7139459661250033768906064
2. ! [X0] : ((~old(X0) | ~quiet(X0)) <=> quiet(X0)) [input p1]
25. ~quiet(john) [input hypothesis]
41. ! [X0] : (((~old(X0) | ~quiet(X0)) | ~quiet(X0)) & (quiet(X0) | (old(X0) & quiet(X0)))) [nnf transformati... | 0 |
Everyone who is patient or not tall is both kind and calm. If someone is not funny or not calm then susan is both curious and kind. Everyone who is both not humble and creative is happy. Everyone who is creative or not calm is old. If susan is curious or kind then someone is not old or happy and vice versa. If paul is ... | Lucy is funny. | contradiction | (![X]:((patient(X)|~tall(X))=>(kind(X)&calm(X))))&
((?[X]:((~funny(X)|~calm(X))))=>((curious(susan)&kind(susan))))&
(![X]:((~humble(X)&creative(X))=>happy(X)))&
(![X]:((creative(X)|~calm(X))=>old(X)))&
(((curious(susan)|kind(susan)))<=>(?[X]:((~old(X)|happy(X)))))&
((brave(paul))<=>((happy(mary)<~>~quiet(mary))))&
((?[... | funny(lucy) | [
"p0",
"p3",
"p8",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8570190660671387925521326
% SZS output start Proof for 8570190660671387925521326
1. ! [X0] : ((~tall(X0) | patient(X0)) => (calm(X0) & kind(X0))) [input p0]
4. ! [X0] : ((~calm(X0) | creative(X0)) => old(X0)) [input p3]
9. ! [X0] : ((old(X0) | creative(X0)) => (patient(X0) & ~calm(X0))) [... | 0 |
If someone is both not calm and curious then someone is either not humble or rich.
If someone is both humble and not tall then someone is not funny or not tall.
Everyone who is calm is not humble or strong.
If alice is both not rich and calm then someone is strong and vice versa.
If someone is either happy or not patie... | Mary is not funny. | contradiction | ((?[X]:((~calm(X)&curious(X))))=>(?[X]:((~humble(X)<~>rich(X)))))&
((?[X]:((humble(X)&~tall(X))))=>(?[X]:((~funny(X)|~tall(X)))))&
(![X]:(calm(X)=>(~humble(X)|strong(X))))&
(((~rich(alice)&calm(alice)))<=>(?[X]:(strong(X))))&
((?[X]:((happy(X)<~>~patient(X))))<=>(?[X]:(~funny(X))))&
((quiet(paul))=>(?[X]:((~tall(X)<~>p... | ~funny(mary) | [
"p2",
"p4",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8379781957073752093518997
% SZS output start Proof for 8379781957073752093518997
3. ! [X0] : (calm(X0) => (strong(X0) | ~humble(X0))) [input p2]
5. ? [X0] : (happy(X0) <~> ~patient(X0)) <=> ? [X0] : ~funny(X0) [input p4]
7. ! [X0] : (~calm(X0) <=> (happy(X0) & patient(X0))) [input p6]
9. ... | 0 |
Everyone who is not curious or generous is either not happy or not funny and vice versa.
Everyone who is either strong or not brave is either creative or not quiet and vice versa.
Everyone who is generous or not patient is quiet.
Everyone who is calm or curious is both funny and not kind.
If susan is rich then mary is ... | John is not patient. | neutral | (![X]:((~curious(X)|generous(X))<=>(~happy(X)<~>~funny(X))))&
(![X]:((strong(X)<~>~brave(X))<=>(creative(X)<~>~quiet(X))))&
(![X]:((generous(X)|~patient(X))=>quiet(X)))&
(![X]:((calm(X)|curious(X))=>(funny(X)&~kind(X))))&
((rich(susan))<=>((funny(mary)<~>patient(mary))))&
((~patient(lucy))<=>(~quiet(susan)))&
(![X]:((o... | ~patient(john) | [] | null | 0 |
If someone is both not generous and not old then someone is happy or not tall and vice versa. If someone is old or not kind then someone is both not strong and curious. If someone is old or funny then mary is both not creative and creative and vice versa. Everyone who is either brave or not wise is either not happy or ... | John is curious. | neutral | ((?[X]:((~generous(X)&~old(X))))<=>(?[X]:((happy(X)|~tall(X)))))&
((?[X]:((old(X)|~kind(X))))=>(?[X]:((~strong(X)&curious(X)))))&
((?[X]:((old(X)|funny(X))))<=>((~creative(mary)&creative(mary))))&
(![X]:((brave(X)<~>~wise(X))<=>(~happy(X)<~>kind(X))))&
(((~happy(john)<~>kind(john)))=>((strong(mary)<~>~patient(mary))))&... | curious(john) | [] | null | 0 |
Everyone who is either brave or not creative is not rich.
Everyone who is brave or not rich is not brave.
Everyone who is not old is both not kind and kind.
If someone is not wise or calm then paul is not patient.
If mary is both not strong and not calm then someone is tall or brave.
Everyone who is generous or kind is... | Paul is calm. | neutral | (![X]:((brave(X)<~>~creative(X))=>~rich(X)))&
(![X]:((brave(X)|~rich(X))=>~brave(X)))&
(![X]:(~old(X)=>(~kind(X)&kind(X))))&
((?[X]:((~wise(X)|calm(X))))=>(~patient(paul)))&
(((~strong(mary)&~calm(mary)))=>(?[X]:((tall(X)|brave(X)))))&
(![X]:((generous(X)|kind(X))=>~funny(X)))&
((?[X]:((~strong(X)&~happy(X))))<=>((~wis... | calm(paul) | [] | null | 0 |
If someone is generous then mary is brave or not rich and vice versa. If someone is both not brave and humble then someone is not strong or not humble. Everyone who is either patient or creative is both old and quiet. Everyone who is both not happy and generous is not calm and vice versa. Everyone who is not strong is ... | Fred is kind. | contradiction | ((?[X]:(generous(X)))<=>((brave(mary)|~rich(mary))))&
((?[X]:((~brave(X)&humble(X))))=>(?[X]:((~strong(X)|~humble(X)))))&
(![X]:((patient(X)<~>creative(X))=>(old(X)&quiet(X))))&
(![X]:((~happy(X)&generous(X))<=>~calm(X)))&
(![X]:(~strong(X)<=>(kind(X)|old(X))))&
(![X]:((kind(X)|old(X))<=>quiet(X)))&
(![X]:((~humble(X)&... | kind(fred) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2384310721598519959985693
% SZS output start Proof for 2384310721598519959985693
3. ! [X0] : ((patient(X0) <~> creative(X0)) => (quiet(X0) & old(X0))) [input p2]
4. ! [X0] : ((generous(X0) & ~happy(X0)) <=> ~calm(X0)) [input p3]
5. ! [X0] : (~strong(X0) <=> (old(X0) | kind(X0))) [input p4... | 0 |
Everyone who is humble or not rich is both not brave and not generous and vice versa. Everyone who is both wise and patient is strong. If alice is curious or humble then john is tall and vice versa. If someone is either patient or rich then john is calm and vice versa. Everyone who is either not wise or not rich is not... | Mary is rich. | entailment | (![X]:((humble(X)|~rich(X))<=>(~brave(X)&~generous(X))))&
(![X]:((wise(X)&patient(X))=>strong(X)))&
(((curious(alice)|humble(alice)))<=>(tall(john)))&
((?[X]:((patient(X)<~>rich(X))))<=>(calm(john)))&
(![X]:((~wise(X)<~>~rich(X))<=>~creative(X)))&
(![X]:((~funny(X)|kind(X))=>(quiet(X)&~creative(X))))&
(![X]:(~kind(X)<=... | rich(mary) | [
"p0",
"p5",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2491360723949321577638582
% SZS output start Proof for 2491360723949321577638582
1. ! [X0] : ((~rich(X0) | humble(X0)) <=> (~generous(X0) & ~brave(X0))) [input p0]
6. ! [X0] : ((kind(X0) | ~funny(X0)) => (~creative(X0) & quiet(X0))) [input p5]
7. ! [X0] : (~kind(X0) <=> wise(X0)) [input p... | 0 |
Everyone who is patient or not patient is calm or tall.
Everyone who is both not rich and not humble is both generous and wise and vice versa.
Everyone who is generous is not quiet and vice versa.
If paul is tall then fred is both kind and not happy and vice versa.
Everyone who is both brave and old is not tall and vic... | Lucy is not kind. | entailment | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(X))))&
(![X]:((~rich(X)&~humble(X))<=>(generous(X)&wise(X))))&
(![X]:(generous(X)<=>~quiet(X)))&
((tall(paul))<=>((kind(fred)&~happy(fred))))&
(![X]:((brave(X)&old(X))<=>~tall(X)))&
(((~rich(john)|~tall(john)))=>((wise(paul)&generous(paul))))&
(![X]:((funny(X)|calm(X))<=>(... | ~kind(lucy) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6046445409997157191990856
% SZS output start Proof for 6046445409997157191990856
1. ! [X0] : ((~patient(X0) | patient(X0)) => (tall(X0) | calm(X0))) [input p0]
2. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> (wise(X0) & generous(X0))) [input p1]
3. ! [X0] : (generous(X0) <=> ~quiet(X0)) [input... | 0 |
If mary is patient then lucy is funny. If lucy is both calm and generous then someone is kind or not creative. Everyone who is either not tall or not generous is patient and vice versa. Everyone who is not generous or brave is not patient or curious. If alice is both happy and not quiet then john is either not tall or ... | Lucy is not old. | neutral | ((patient(mary))=>(funny(lucy)))&
(((calm(lucy)&generous(lucy)))=>(?[X]:((kind(X)|~creative(X)))))&
(![X]:((~tall(X)<~>~generous(X))<=>patient(X)))&
(![X]:((~generous(X)|brave(X))=>(~patient(X)|curious(X))))&
(((happy(alice)&~quiet(alice)))<=>((~tall(john)<~>~wise(john))))&
(![X]:((brave(X)<~>~curious(X))=>(~funny(X)|~... | ~old(lucy) | [] | null | 0 |
If paul is both happy and not calm then someone is happy or not old. Everyone who is either curious or kind is either kind or quiet and vice versa. Everyone who is tall is funny or generous and vice versa. Everyone who is brave is creative or not strong and vice versa. Everyone who is either kind or humble is both not ... | John is rich. | neutral | (((happy(paul)&~calm(paul)))=>(?[X]:((happy(X)|~old(X)))))&
(![X]:((curious(X)<~>kind(X))<=>(kind(X)<~>quiet(X))))&
(![X]:(tall(X)<=>(funny(X)|generous(X))))&
(![X]:(brave(X)<=>(creative(X)|~strong(X))))&
(![X]:((kind(X)<~>humble(X))=>(~kind(X)&~creative(X))))&
(((~brave(john)|~patient(john)))<=>(?[X]:((strong(X)|humbl... | rich(john) | [] | null | 0 |
If john is happy or not kind then someone is not brave.
If someone is not wise or not kind then alice is either not tall or not generous and vice versa.
Everyone who is quiet or brave is strong or wise and vice versa.
If someone is either generous or not funny then someone is either not generous or not happy.
Everyone ... | Mary is not calm. | neutral | (((happy(john)|~kind(john)))=>(?[X]:(~brave(X))))&
((?[X]:((~wise(X)|~kind(X))))<=>((~tall(alice)<~>~generous(alice))))&
(![X]:((quiet(X)|brave(X))<=>(strong(X)|wise(X))))&
((?[X]:((generous(X)<~>~funny(X))))=>(?[X]:((~generous(X)<~>~happy(X)))))&
(![X]:(~calm(X)<=>(~generous(X)|rich(X))))&
(![X]:(~rich(X)=>(strong(X)&... | ~calm(mary) | [] | null | 0 |
Everyone who is not happy is old or patient and vice versa.
Everyone who is old or not quiet is generous and vice versa.
Everyone who is either not strong or creative is not quiet or calm.
If someone is either not strong or not happy then alice is both not tall and strong.
If someone is quiet or not kind then someone i... | Susan is happy. | contradiction | (![X]:(~happy(X)<=>(old(X)|patient(X))))&
(![X]:((old(X)|~quiet(X))<=>generous(X)))&
(![X]:((~strong(X)<~>creative(X))=>(~quiet(X)|calm(X))))&
((?[X]:((~strong(X)<~>~happy(X))))=>((~tall(alice)&strong(alice))))&
((?[X]:((quiet(X)|~kind(X))))<=>(?[X]:((~happy(X)<~>rich(X)))))&
(![X]:((~generous(X)|patient(X))=>(kind(X)|... | happy(susan) | [
"p0",
"p5",
"p7",
"p9",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5672480556912033250577899
% SZS output start Proof for 5672480556912033250577899
1. ! [X0] : (~happy(X0) <=> (patient(X0) | old(X0))) [input p0]
6. ! [X0] : ((patient(X0) | ~generous(X0)) => (funny(X0) | kind(X0))) [input p5]
8. ! [X0] : ((~happy(X0) <~> ~kind(X0)) <=> (rich(X0) | patient... | 0 |
Everyone who is happy or not curious is both not brave and wise and vice versa.
If paul is not strong or curious then someone is not happy or not old and vice versa.
Everyone who is either wise or not happy is either kind or not rich and vice versa.
If someone is not generous then someone is not old and vice versa.
If ... | Paul is funny. | contradiction | (![X]:((happy(X)|~curious(X))<=>(~brave(X)&wise(X))))&
(((~strong(paul)|curious(paul)))<=>(?[X]:((~happy(X)|~old(X)))))&
(![X]:((wise(X)<~>~happy(X))<=>(kind(X)<~>~rich(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(~old(X))))&
((?[X]:((creative(X)|calm(X))))=>((~strong(alice)<~>calm(alice))))&
((?[X]:(creative(X)))=>(~wise(ma... | funny(paul) | [
"p0",
"p1",
"p7",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2035873000115970397451738
% SZS output start Proof for 2035873000115970397451738
1. ! [X0] : ((~curious(X0) | happy(X0)) <=> (wise(X0) & ~brave(X0))) [input p0]
2. (curious(paul) | ~strong(paul)) <=> ? [X0] : (~old(X0) | ~happy(X0)) [input p1]
8. ! [X0] : (~brave(X0) => strong(X0)) [input... | 0 |
If someone is curious or not tall then someone is both not patient and not curious.
If someone is both kind and not wise then john is not tall and vice versa.
Everyone who is either not tall or generous is either patient or not quiet and vice versa.
If someone is wise then mary is not generous or rich.
Everyone who is ... | Fred is not patient. | entailment | ((?[X]:((curious(X)|~tall(X))))=>(?[X]:((~patient(X)&~curious(X)))))&
((?[X]:((kind(X)&~wise(X))))<=>(~tall(john)))&
(![X]:((~tall(X)<~>generous(X))<=>(patient(X)<~>~quiet(X))))&
((?[X]:(wise(X)))=>((~generous(mary)|rich(mary))))&
(![X]:((creative(X)&kind(X))<=>(rich(X)&humble(X))))&
(![X]:((~strong(X)&~brave(X))<=>(ri... | ~patient(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3399666863777445596149229
% SZS output start Proof for 3399666863777445596149229
10. ! [X0] : (patient(X0) => (~curious(X0) & ~patient(X0))) [input p9]
25. patient(fred) [input hypothesis]
32. ! [X0] : ((~curious(X0) & ~patient(X0)) | ~patient(X0)) [ennf transformation 10]
102. ~patient(X... | 0 |
Everyone who is funny is either generous or not creative.
Everyone who is both happy and wise is curious or not old and vice versa.
If fred is either not strong or not quiet then john is either curious or humble.
Everyone who is curious or calm is both not kind and not quiet.
If someone is patient then someone is both ... | Mary is kind. | contradiction | (![X]:(funny(X)=>(generous(X)<~>~creative(X))))&
(![X]:((happy(X)&wise(X))<=>(curious(X)|~old(X))))&
(((~strong(fred)<~>~quiet(fred)))=>((curious(john)<~>humble(john))))&
(![X]:((curious(X)|calm(X))=>(~kind(X)&~quiet(X))))&
((?[X]:(patient(X)))<=>(?[X]:((brave(X)&curious(X)))))&
((?[X]:((~happy(X)<~>wise(X))))=>(?[X]:(... | kind(mary) | [
"p3",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7472858611536589613732416
% SZS output start Proof for 7472858611536589613732416
4. ! [X0] : ((calm(X0) | curious(X0)) => (~quiet(X0) & ~kind(X0))) [input p3]
9. ! [X0] : (~calm(X0) => ~wise(X0)) [input p8]
20. wise(mary) & ~old(mary) [input p19]
25. kind(mary) [input hypothesis]
32. ! [X... | 0 |
Everyone who is strong or not happy is patient and vice versa.
Everyone who is both brave and not calm is both not old and humble.
If someone is patient or wise then fred is tall or calm.
If someone is not funny or rich then alice is both not funny and tall and vice versa.
Everyone who is not rich is both not calm and ... | Fred is not generous. | contradiction | (![X]:((strong(X)|~happy(X))<=>patient(X)))&
(![X]:((brave(X)&~calm(X))=>(~old(X)&humble(X))))&
((?[X]:((patient(X)|wise(X))))=>((tall(fred)|calm(fred))))&
((?[X]:((~funny(X)|rich(X))))<=>((~funny(alice)&tall(alice))))&
(![X]:(~rich(X)=>(~calm(X)&~creative(X))))&
(![X]:(~old(X)=>(old(X)|~rich(X))))&
(![X]:((rich(X)<~>~... | ~generous(fred) | [
"p0",
"p5",
"p6",
"p11",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6568057262546636777923769
% SZS output start Proof for 6568057262546636777923769
1. ! [X0] : ((~happy(X0) | strong(X0)) <=> patient(X0)) [input p0]
6. ! [X0] : (~old(X0) => (~rich(X0) | old(X0))) [input p5]
7. ! [X0] : ((rich(X0) <~> ~patient(X0)) <=> (~quiet(X0) | ~old(X0))) [input p6]
1... | 0 |
If john is both not strong and wise then mary is creative or not patient and vice versa.
If alice is not curious then someone is wise and vice versa.
Everyone who is both brave and tall is not creative and vice versa.
If someone is either patient or not wise then someone is rich.
If someone is old then someone is eithe... | Lucy is not brave. | neutral | (((~strong(john)&wise(john)))<=>((creative(mary)|~patient(mary))))&
((~curious(alice))<=>(?[X]:(wise(X))))&
(![X]:((brave(X)&tall(X))<=>~creative(X)))&
((?[X]:((patient(X)<~>~wise(X))))=>(?[X]:(rich(X))))&
((?[X]:(old(X)))<=>(?[X]:((strong(X)<~>~rich(X)))))&
((?[X]:((~kind(X)&rich(X))))<=>((curious(lucy)&calm(lucy))))&... | ~brave(lucy) | [] | null | 0 |
If alice is either patient or old then someone is humble or not humble. If someone is both funny and not tall then lucy is both generous and curious. Everyone who is either calm or not happy is not kind or happy and vice versa. Everyone who is not patient or patient is both not humble and not funny and vice versa. Ever... | Lucy is not strong. | contradiction | (((patient(alice)<~>old(alice)))=>(?[X]:((humble(X)|~humble(X)))))&
((?[X]:((funny(X)&~tall(X))))=>((generous(lucy)&curious(lucy))))&
(![X]:((calm(X)<~>~happy(X))<=>(~kind(X)|happy(X))))&
(![X]:((~patient(X)|patient(X))<=>(~humble(X)&~funny(X))))&
(![X]:(~old(X)<=>(~funny(X)&~calm(X))))&
(![X]:((~kind(X)<~>happy(X))=>(... | ~strong(lucy) | [
"p3",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4124199492400874434920428
% SZS output start Proof for 4124199492400874434920428
4. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (~funny(X0) & ~humble(X0))) [input p3]
11. ! [X0] : (~old(X0) <=> (strong(X0) & wise(X0))) [input p10]
15. ! [X0] : ((~rich(X0) | ~humble(X0)) => (~old(X0) & pati... | 0 |
If someone is both quiet and brave then someone is both not wise and not strong.
Everyone who is not patient or quiet is not old.
Everyone who is either not rich or creative is not humble and vice versa.
If lucy is tall then paul is both not calm and humble.
If lucy is not tall then susan is not kind and vice versa.
Ev... | Paul is calm. | neutral | ((?[X]:((quiet(X)&brave(X))))=>(?[X]:((~wise(X)&~strong(X)))))&
(![X]:((~patient(X)|quiet(X))=>~old(X)))&
(![X]:((~rich(X)<~>creative(X))<=>~humble(X)))&
((tall(lucy))=>((~calm(paul)&humble(paul))))&
((~tall(lucy))<=>(~kind(susan)))&
(![X]:((wise(X)|~rich(X))<=>(curious(X)<~>generous(X))))&
(![X]:(funny(X)=>(funny(X)|t... | calm(paul) | [] | null | 0 |
Everyone who is both strong and quiet is not creative or not tall. Everyone who is either not patient or old is either old or curious and vice versa. Everyone who is either not creative or brave is both not creative and strong and vice versa. Everyone who is not curious is either rich or creative. Everyone who is eithe... | Fred is strong. | neutral | (![X]:((strong(X)&quiet(X))=>(~creative(X)|~tall(X))))&
(![X]:((~patient(X)<~>old(X))<=>(old(X)<~>curious(X))))&
(![X]:((~creative(X)<~>brave(X))<=>(~creative(X)&strong(X))))&
(![X]:(~curious(X)=>(rich(X)<~>creative(X))))&
(![X]:((funny(X)<~>kind(X))=>(~curious(X)|creative(X))))&
((~brave(susan))=>(?[X]:((~happy(X)|~ri... | strong(fred) | [] | null | 0 |
If someone is not happy or old then someone is not rich or old and vice versa.
If someone is either rich or not calm then someone is funny or not happy and vice versa.
Everyone who is happy is not wise and vice versa.
Everyone who is either not kind or not curious is either calm or old and vice versa.
If alice is eithe... | Fred is not funny. | neutral | ((?[X]:((~happy(X)|old(X))))<=>(?[X]:((~rich(X)|old(X)))))&
((?[X]:((rich(X)<~>~calm(X))))<=>(?[X]:((funny(X)|~happy(X)))))&
(![X]:(happy(X)<=>~wise(X)))&
(![X]:((~kind(X)<~>~curious(X))<=>(calm(X)<~>old(X))))&
(((calm(alice)<~>brave(alice)))<=>(?[X]:((creative(X)|~curious(X)))))&
(![X]:(~curious(X)=>(wise(X)|~brave(X)... | ~funny(fred) | [] | null | 0 |
Everyone who is strong is either not quiet or not rich and vice versa.
Everyone who is both not kind and not tall is either not generous or not old and vice versa.
Everyone who is either quiet or not wise is both not happy and quiet and vice versa.
If alice is either kind or not calm then someone is both not tall and n... | Mary is tall. | entailment | (![X]:(strong(X)<=>(~quiet(X)<~>~rich(X))))&
(![X]:((~kind(X)&~tall(X))<=>(~generous(X)<~>~old(X))))&
(![X]:((quiet(X)<~>~wise(X))<=>(~happy(X)&quiet(X))))&
(((kind(alice)<~>~calm(alice)))<=>(?[X]:((~tall(X)&~kind(X)))))&
((?[X]:(~rich(X)))<=>(?[X]:(~curious(X))))&
(![X]:((~patient(X)<~>strong(X))=>(calm(X)<~>~rich(X))... | tall(mary) | [
"p0",
"p3",
"p5",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1701777641608649469994270
% SZS output start Proof for 1701777641608649469994270
1. ! [X0] : (strong(X0) <=> (~quiet(X0) <~> ~rich(X0))) [input p0]
4. (kind(alice) <~> ~calm(alice)) <=> ? [X0] : (~kind(X0) & ~tall(X0)) [input p3]
6. ! [X0] : ((~patient(X0) <~> strong(X0)) => (calm(X0) <~>... | 0 |
Everyone who is both quiet and curious is either not tall or not creative and vice versa. Everyone who is either funny or happy is not creative or rich. Everyone who is either funny or not humble is either wise or calm and vice versa. If someone is not brave or not curious then someone is both wise and kind. If john is... | Mary is not wise. | contradiction | (![X]:((quiet(X)&curious(X))<=>(~tall(X)<~>~creative(X))))&
(![X]:((funny(X)<~>happy(X))=>(~creative(X)|rich(X))))&
(![X]:((funny(X)<~>~humble(X))<=>(wise(X)<~>calm(X))))&
((?[X]:((~brave(X)|~curious(X))))=>(?[X]:((wise(X)&kind(X)))))&
(((tall(john)&rich(john)))=>((calm(lucy)<~>tall(lucy))))&
(![X]:((tall(X)|generous(X... | ~wise(mary) | [
"p0",
"p5",
"p6",
"p7",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 28439656821851730247791
% SZS output start Proof for 28439656821851730247791
1. ! [X0] : ((curious(X0) & quiet(X0)) <=> (~tall(X0) <~> ~creative(X0))) [input p0]
6. ! [X0] : ((generous(X0) | tall(X0)) <=> ~kind(X0)) [input p5]
7. ! [X0] : ((kind(X0) | wise(X0)) <=> (~patient(X0) <~> funny... | 0 |
If mary is rich then someone is quiet and vice versa. If someone is either not kind or not old then someone is brave or not creative and vice versa. If paul is not funny or tall then someone is both not old and not curious. Everyone who is not happy is both not happy and rich and vice versa. If alice is either not pati... | Alice is not happy. | contradiction | ((rich(mary))<=>(?[X]:(quiet(X))))&
((?[X]:((~kind(X)<~>~old(X))))<=>(?[X]:((brave(X)|~creative(X)))))&
(((~funny(paul)|tall(paul)))=>(?[X]:((~old(X)&~curious(X)))))&
(![X]:(~happy(X)<=>(~happy(X)&rich(X))))&
(((~patient(alice)<~>humble(alice)))<=>(?[X]:((~humble(X)<~>rich(X)))))&
(![X]:((~kind(X)|quiet(X))=>(~kind(X)<... | ~happy(alice) | [
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 364245603645227146813414
% SZS output start Proof for 364245603645227146813414
4. ! [X0] : (~happy(X0) <=> (rich(X0) & ~happy(X0))) [input p3]
14. ! [X0] : ((rich(X0) | creative(X0)) => ~rich(X0)) [input p13]
24. ~happy(alice) [input hypothesis]
41. ! [X0] : (~rich(X0) | (~rich(X0) & ~cre... | 0 |
If fred is both not calm and kind then someone is strong. Everyone who is brave or tall is both wise and brave. If someone is not tall then fred is quiet or funny. If alice is not creative then john is both not rich and creative and vice versa. Everyone who is generous is not quiet and vice versa. Everyone who is rich ... | John is wise. | entailment | (((~calm(fred)&kind(fred)))=>(?[X]:(strong(X))))&
(![X]:((brave(X)|tall(X))=>(wise(X)&brave(X))))&
((?[X]:(~tall(X)))=>((quiet(fred)|funny(fred))))&
((~creative(alice))<=>((~rich(john)&creative(john))))&
(![X]:(generous(X)<=>~quiet(X)))&
(![X]:(rich(X)<=>(~wise(X)&patient(X))))&
(![X]:(happy(X)<=>(~wise(X)<~>tall(X))))... | wise(john) | [
"p1",
"p3",
"p8",
"p9",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2843765730604855631852745
% SZS output start Proof for 2843765730604855631852745
2. ! [X0] : ((tall(X0) | brave(X0)) => (brave(X0) & wise(X0))) [input p1]
4. ~creative(alice) <=> (creative(john) & ~rich(john)) [input p3]
9. ! [X0] : ((~brave(X0) & tall(X0)) <=> ~tall(X0)) [input p8]
10. ?... | 0 |
Everyone who is either quiet or not humble is kind.
If someone is not creative then john is either funny or not wise and vice versa.
If someone is both not quiet and brave then fred is wise or not curious.
If someone is curious then alice is both not humble and not kind.
Everyone who is humble is creative and vice vers... | Alice is not funny. | contradiction | (![X]:((quiet(X)<~>~humble(X))=>kind(X)))&
((?[X]:(~creative(X)))<=>((funny(john)<~>~wise(john))))&
((?[X]:((~quiet(X)&brave(X))))=>((wise(fred)|~curious(fred))))&
((?[X]:(curious(X)))=>((~humble(alice)&~kind(alice))))&
(![X]:(humble(X)<=>creative(X)))&
(((generous(mary)<~>brave(mary)))=>(?[X]:((curious(X)|quiet(X)))))... | ~funny(alice) | [
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 587259887424202340389427
% SZS output start Proof for 587259887424202340389427
4. ? [X0] : curious(X0) => (~kind(alice) & ~humble(alice)) [input p3]
12. ? [X0] : (~humble(X0) | ~wise(X0)) => (quiet(alice) & funny(alice)) [input p11]
16. (~curious(john) | curious(john)) <=> ? [X0] : (curio... | 0 |
If mary is both kind and not quiet then someone is not brave or tall and vice versa.
Everyone who is both quiet and not calm is both creative and rich.
If fred is not funny or happy then someone is either not brave or not curious and vice versa.
If mary is old then someone is calm or not generous.
Everyone who is eithe... | Alice is not humble. | contradiction | (((kind(mary)&~quiet(mary)))<=>(?[X]:((~brave(X)|tall(X)))))&
(![X]:((quiet(X)&~calm(X))=>(creative(X)&rich(X))))&
(((~funny(fred)|happy(fred)))<=>(?[X]:((~brave(X)<~>~curious(X)))))&
((old(mary))=>(?[X]:((calm(X)|~generous(X)))))&
(![X]:((~wise(X)<~>calm(X))=>(~tall(X)<~>~humble(X))))&
(![X]:((~wise(X)|curious(X))=>(~... | ~humble(alice) | [
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 860683439666840831899057
% SZS output start Proof for 860683439666840831899057
10. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> (~curious(X0) & ~funny(X0))) [input p9]
15. ! [X0] : ((curious(X0) | creative(X0)) <=> ~humble(X0)) [input p14]
18. ~creative(alice) <~> funny(alice) [input p17]
25.... | 0 |
If alice is tall or not old then lucy is both happy and not humble and vice versa. Everyone who is patient or curious is either kind or calm. Everyone who is both not wise and not brave is either not brave or not tall. If john is both humble and not patient then john is both patient and tall. If alice is not rich then ... | Alice is not brave. | neutral | (((tall(alice)|~old(alice)))<=>((happy(lucy)&~humble(lucy))))&
(![X]:((patient(X)|curious(X))=>(kind(X)<~>calm(X))))&
(![X]:((~wise(X)&~brave(X))=>(~brave(X)<~>~tall(X))))&
(((humble(john)&~patient(john)))=>((patient(john)&tall(john))))&
((~rich(alice))=>(?[X]:((~happy(X)&~creative(X)))))&
(((humble(john)<~>~rich(john)... | ~brave(alice) | [] | null | 0 |
Everyone who is either not curious or patient is either funny or not calm and vice versa. Everyone who is patient or not old is both curious and strong. Everyone who is both generous and rich is both not strong and rich. Everyone who is both not kind and not generous is not patient and vice versa. Everyone who is wise ... | Alice is not old. | contradiction | (![X]:((~curious(X)<~>patient(X))<=>(funny(X)<~>~calm(X))))&
(![X]:((patient(X)|~old(X))=>(curious(X)&strong(X))))&
(![X]:((generous(X)&rich(X))=>(~strong(X)&rich(X))))&
(![X]:((~kind(X)&~generous(X))<=>~patient(X)))&
(![X]:((wise(X)|~quiet(X))<=>(patient(X)|wise(X))))&
(![X]:((brave(X)|happy(X))<=>(~generous(X)&happy(... | ~old(alice) | [
"p1",
"p3",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 884718564244184498554765
% SZS output start Proof for 884718564244184498554765
2. ! [X0] : ((~old(X0) | patient(X0)) => (strong(X0) & curious(X0))) [input p1]
4. ! [X0] : ((~generous(X0) & ~kind(X0)) <=> ~patient(X0)) [input p3]
11. (~creative(fred) | ~funny(fred)) => (~tall(alice) & ~cur... | 0 |
If lucy is both brave and rich then someone is not wise or not humble.
Everyone who is both not kind and wise is both kind and old and vice versa.
Everyone who is not patient or not curious is not patient or strong and vice versa.
Everyone who is either old or happy is not quiet and vice versa.
Everyone who is both not... | Fred is not wise. | contradiction | (((brave(lucy)&rich(lucy)))=>(?[X]:((~wise(X)|~humble(X)))))&
(![X]:((~kind(X)&wise(X))<=>(kind(X)&old(X))))&
(![X]:((~patient(X)|~curious(X))<=>(~patient(X)|strong(X))))&
(![X]:((old(X)<~>happy(X))<=>~quiet(X)))&
(![X]:((~kind(X)&calm(X))<=>strong(X)))&
((?[X]:((~kind(X)&~old(X))))=>(?[X]:((strong(X)&happy(X)))))&
((?... | ~wise(fred) | [
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7804306081344691134180210
% SZS output start Proof for 7804306081344691134180210
9. (rich(fred) | ~wise(fred)) <=> (~patient(john) & ~tall(john)) [input p8]
15. ! [X0] : ((rich(X0) <~> ~patient(X0)) <=> rich(X0)) [input p14]
24. ~wise(fred) [input hypothesis]
54. ((rich(fred) | ~wise(fred... | 0 |
If someone is not curious or patient then john is funny. If john is both humble and not brave then john is not brave or not curious and vice versa. If susan is not creative or not tall then mary is either patient or funny. If someone is not brave or tall then someone is either not funny or not tall and vice versa. If f... | Fred is not happy. | neutral | ((?[X]:((~curious(X)|patient(X))))=>(funny(john)))&
(((humble(john)&~brave(john)))<=>((~brave(john)|~curious(john))))&
(((~creative(susan)|~tall(susan)))=>((patient(mary)<~>funny(mary))))&
((?[X]:((~brave(X)|tall(X))))<=>(?[X]:((~funny(X)<~>~tall(X)))))&
(((strong(fred)<~>curious(fred)))=>(?[X]:(brave(X))))&
(![X]:(kin... | ~happy(fred) | [] | null | 0 |
Everyone who is either not quiet or not curious is not kind or not brave and vice versa.
Everyone who is either not brave or rich is not calm or not rich.
Everyone who is either not tall or not curious is both curious and creative.
Everyone who is either not curious or generous is not old or strong and vice versa.
If s... | Alice is humble. | entailment | (![X]:((~quiet(X)<~>~curious(X))<=>(~kind(X)|~brave(X))))&
(![X]:((~brave(X)<~>rich(X))=>(~calm(X)|~rich(X))))&
(![X]:((~tall(X)<~>~curious(X))=>(curious(X)&creative(X))))&
(![X]:((~curious(X)<~>generous(X))<=>(~old(X)|strong(X))))&
((?[X]:(strong(X)))<=>(~funny(fred)))&
((?[X]:((rich(X)&quiet(X))))<=>(tall(paul)))&
((... | humble(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 717715192846354550323948
% SZS output start Proof for 717715192846354550323948
10. ! [X0] : ((wise(X0) | ~wise(X0)) <=> (brave(X0) & humble(X0))) [input p9]
25. ~humble(alice) [input hypothesis]
59. ! [X0] : (((wise(X0) | ~wise(X0)) | (~brave(X0) | ~humble(X0))) & ((brave(X0) & humble(X0)... | 0 |
Everyone who is both calm and not tall is both not curious and old. If someone is not kind or quiet then someone is not patient. Everyone who is either not funny or not creative is both not happy and tall. Everyone who is not kind is not old or humble. Everyone who is not kind or generous is both kind and old. If fred ... | Lucy is not old. | neutral | (![X]:((calm(X)&~tall(X))=>(~curious(X)&old(X))))&
((?[X]:((~kind(X)|quiet(X))))=>(?[X]:(~patient(X))))&
(![X]:((~funny(X)<~>~creative(X))=>(~happy(X)&tall(X))))&
(![X]:(~kind(X)=>(~old(X)|humble(X))))&
(![X]:((~kind(X)|generous(X))=>(kind(X)&old(X))))&
(((~wise(fred)&~curious(fred)))=>((kind(susan)&~curious(susan))))&... | ~old(lucy) | [] | null | 0 |
If someone is both not rich and not generous then paul is patient or not rich and vice versa.
Everyone who is both patient and not kind is both not strong and curious and vice versa.
Everyone who is both happy and not humble is either not happy or not kind and vice versa.
If someone is not calm or calm then fred is bot... | Lucy is strong. | neutral | ((?[X]:((~rich(X)&~generous(X))))<=>((patient(paul)|~rich(paul))))&
(![X]:((patient(X)&~kind(X))<=>(~strong(X)&curious(X))))&
(![X]:((happy(X)&~humble(X))<=>(~happy(X)<~>~kind(X))))&
((?[X]:((~calm(X)|calm(X))))<=>((old(fred)&~creative(fred))))&
(![X]:((~patient(X)&funny(X))<=>(curious(X)&strong(X))))&
(![X]:(~funny(X)... | strong(lucy) | [] | null | 0 |
Everyone who is not rich is wise or brave. If someone is both tall and funny then john is old. Everyone who is brave is either tall or strong. Everyone who is creative or not curious is both patient and quiet and vice versa. Everyone who is both strong and not brave is strong or not rich and vice versa. Everyone who is... | Mary is quiet. | entailment | (![X]:(~rich(X)=>(wise(X)|brave(X))))&
((?[X]:((tall(X)&funny(X))))=>(old(john)))&
(![X]:(brave(X)=>(tall(X)<~>strong(X))))&
(![X]:((creative(X)|~curious(X))<=>(patient(X)&quiet(X))))&
(![X]:((strong(X)&~brave(X))<=>(strong(X)|~rich(X))))&
(![X]:((funny(X)&generous(X))<=>(~wise(X)<~>~patient(X))))&
(((~curious(alice)|~... | quiet(mary) | [
"p0",
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 430945493002555913617954
% SZS output start Proof for 430945493002555913617954
1. ! [X0] : (~rich(X0) => (brave(X0) | wise(X0))) [input p0]
5. ! [X0] : ((~brave(X0) & strong(X0)) <=> (~rich(X0) | strong(X0))) [input p4]
8. ? [X0] : (rich(X0) | ~tall(X0)) => ? [X0] : (~wise(X0) & ~rich(X0)... | 0 |
If someone is humble then alice is not curious or humble and vice versa.
If someone is either not tall or calm then paul is both funny and rich and vice versa.
If alice is kind then lucy is happy and vice versa.
If paul is not creative then fred is either quiet or not happy and vice versa.
Everyone who is both happy an... | Fred is funny. | entailment | ((?[X]:(humble(X)))<=>((~curious(alice)|humble(alice))))&
((?[X]:((~tall(X)<~>calm(X))))<=>((funny(paul)&rich(paul))))&
((kind(alice))<=>(happy(lucy)))&
((~creative(paul))<=>((quiet(fred)<~>~happy(fred))))&
(![X]:((happy(X)&funny(X))<=>(happy(X)&strong(X))))&
((old(mary))=>(?[X]:((curious(X)|patient(X)))))&
(![X]:(stro... | funny(fred) | [
"p4",
"p6",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 722562902895879656195887
% SZS output start Proof for 722562902895879656195887
5. ! [X0] : ((funny(X0) & happy(X0)) <=> (strong(X0) & happy(X0))) [input p4]
7. ! [X0] : (strong(X0) <=> (humble(X0) & tall(X0))) [input p6]
13. ! [X0] : (generous(X0) <=> ~happy(X0)) [input p12]
14. ! [X0] : ... | 0 |
If lucy is either not strong or patient then paul is both happy and not kind.
Everyone who is funny is either not rich or humble and vice versa.
Everyone who is either humble or old is not brave.
If someone is either humble or kind then susan is both not happy and kind.
Everyone who is either generous or happy is not g... | Mary is not happy. | contradiction | (((~strong(lucy)<~>patient(lucy)))=>((happy(paul)&~kind(paul))))&
(![X]:(funny(X)<=>(~rich(X)<~>humble(X))))&
(![X]:((humble(X)<~>old(X))=>~brave(X)))&
((?[X]:((humble(X)<~>kind(X))))=>((~happy(susan)&kind(susan))))&
(![X]:((generous(X)<~>happy(X))<=>~generous(X)))&
(((~brave(lucy)|~quiet(lucy)))<=>((humble(paul)&~gene... | ~happy(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4529565317387155306989448
% SZS output start Proof for 4529565317387155306989448
5. ! [X0] : ((generous(X0) <~> happy(X0)) <=> ~generous(X0)) [input p4]
25. ~happy(mary) [input hypothesis]
42. ! [X0] : ((((~happy(X0) | ~generous(X0)) & (happy(X0) | generous(X0))) | generous(X0)) & (~gener... | 0 |
Everyone who is both not curious and happy is curious and vice versa. If someone is either curious or not calm then john is not humble and vice versa. If someone is either happy or not kind then paul is not wise and vice versa. If someone is both not strong and not happy then john is either not rich or wise. If someone... | John is not wise. | entailment | (![X]:((~curious(X)&happy(X))<=>curious(X)))&
((?[X]:((curious(X)<~>~calm(X))))<=>(~humble(john)))&
((?[X]:((happy(X)<~>~kind(X))))<=>(~wise(paul)))&
((?[X]:((~strong(X)&~happy(X))))=>((~rich(john)<~>wise(john))))&
((?[X]:((~rich(X)<~>~tall(X))))<=>((curious(mary)&rich(mary))))&
(![X]:((old(X)<~>~rich(X))<=>(~rich(X)<~... | ~wise(john) | [
"p0",
"p3",
"p4",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 169286853990830579692882
% SZS output start Proof for 169286853990830579692882
1. ! [X0] : ((happy(X0) & ~curious(X0)) <=> curious(X0)) [input p0]
4. ? [X0] : (~happy(X0) & ~strong(X0)) => (~rich(john) <~> wise(john)) [input p3]
5. ? [X0] : (~rich(X0) <~> ~tall(X0)) <=> (rich(mary) & curi... | 0 |
Everyone who is either quiet or strong is not strong and vice versa.
If lucy is not rich or not calm then someone is not happy or not strong.
Everyone who is not kind or not calm is rich and vice versa.
If someone is not patient or not kind then susan is not wise.
If someone is generous or not curious then fred is both... | Susan is not wise. | entailment | (![X]:((quiet(X)<~>strong(X))<=>~strong(X)))&
(((~rich(lucy)|~calm(lucy)))=>(?[X]:((~happy(X)|~strong(X)))))&
(![X]:((~kind(X)|~calm(X))<=>rich(X)))&
((?[X]:((~patient(X)|~kind(X))))=>(~wise(susan)))&
((?[X]:((generous(X)|~curious(X))))=>((strong(fred)&curious(fred))))&
(![X]:((~patient(X)|~strong(X))=>(happy(X)&~quiet... | ~wise(susan) | [
"p2",
"p3",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1699151012004314373185465
% SZS output start Proof for 1699151012004314373185465
3. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> rich(X0)) [input p2]
4. ? [X0] : (~kind(X0) | ~patient(X0)) => ~wise(susan) [input p3]
16. ! [X0] : ((~rich(X0) <~> generous(X0)) => (~tall(X0) & rich(X0))) [input p15... | 0 |
Everyone who is either creative or not creative is kind.
Everyone who is not humble or generous is both curious and tall and vice versa.
If someone is both not funny and not happy then john is either not kind or not strong and vice versa.
If susan is either not strong or not generous then john is not brave or curious a... | John is kind. | entailment | (![X]:((creative(X)<~>~creative(X))=>kind(X)))&
(![X]:((~humble(X)|generous(X))<=>(curious(X)&tall(X))))&
((?[X]:((~funny(X)&~happy(X))))<=>((~kind(john)<~>~strong(john))))&
(((~strong(susan)<~>~generous(susan)))<=>((~brave(john)|curious(john))))&
(![X]:((happy(X)|creative(X))=>(~quiet(X)&brave(X))))&
(((quiet(mary)|ki... | kind(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1920206502078542100315501
% SZS output start Proof for 1920206502078542100315501
1. ! [X0] : ((creative(X0) <~> ~creative(X0)) => kind(X0)) [input p0]
25. ~kind(john) [input hypothesis]
28. ! [X0] : (kind(X0) | (creative(X0) <=> ~creative(X0))) [ennf transformation 1]
36. ! [X0] : (kind(X... | 0 |
If someone is both not patient and kind then fred is either not wise or not funny and vice versa.
Everyone who is brave or wise is both not curious and not happy.
Everyone who is quiet or happy is both not humble and generous and vice versa.
Everyone who is both not patient and tall is both quiet and old and vice versa... | Paul is calm. | entailment | ((?[X]:((~patient(X)&kind(X))))<=>((~wise(fred)<~>~funny(fred))))&
(![X]:((brave(X)|wise(X))=>(~curious(X)&~happy(X))))&
(![X]:((quiet(X)|happy(X))<=>(~humble(X)&generous(X))))&
(![X]:((~patient(X)&tall(X))<=>(quiet(X)&old(X))))&
(![X]:((~calm(X)<~>~brave(X))<=>(wise(X)<~>~wise(X))))&
(![X]:((~strong(X)|~generous(X))=>... | calm(paul) | [
"p1",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6602474179245609932783867
% SZS output start Proof for 6602474179245609932783867
2. ! [X0] : ((wise(X0) | brave(X0)) => (~happy(X0) & ~curious(X0))) [input p1]
5. ! [X0] : ((~calm(X0) <~> ~brave(X0)) <=> (wise(X0) <~> ~wise(X0))) [input p4]
11. ! [X0] : ((~happy(X0) | funny(X0)) => (~brav... | 0 |
If fred is either old or not tall then paul is not patient or not strong and vice versa.
If lucy is either curious or generous then someone is both not curious and not funny.
Everyone who is both happy and wise is both not quiet and quiet.
Everyone who is not wise or wise is not strong.
Everyone who is not kind or not ... | Lucy is old. | neutral | (((old(fred)<~>~tall(fred)))<=>((~patient(paul)|~strong(paul))))&
(((curious(lucy)<~>generous(lucy)))=>(?[X]:((~curious(X)&~funny(X)))))&
(![X]:((happy(X)&wise(X))=>(~quiet(X)&quiet(X))))&
(![X]:((~wise(X)|wise(X))=>~strong(X)))&
(![X]:((~kind(X)|~creative(X))=>(kind(X)<~>~funny(X))))&
(![X]:(~curious(X)=>(~creative(X)... | old(lucy) | [] | null | 0 |
Everyone who is not calm is not funny and vice versa. If fred is both not curious and kind then alice is both not kind and not happy. If someone is funny then lucy is brave and vice versa. Everyone who is rich is both not rich and not creative and vice versa. If someone is old or not kind then someone is not strong and... | Fred is rich. | contradiction | (![X]:(~calm(X)<=>~funny(X)))&
(((~curious(fred)&kind(fred)))=>((~kind(alice)&~happy(alice))))&
((?[X]:(funny(X)))<=>(brave(lucy)))&
(![X]:(rich(X)<=>(~rich(X)&~creative(X))))&
((?[X]:((old(X)|~kind(X))))<=>(?[X]:(~strong(X))))&
(![X]:((wise(X)&~happy(X))=>(rich(X)&kind(X))))&
(![X]:((~creative(X)<~>quiet(X))<=>calm(X)... | rich(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7622456508012569973749569
% SZS output start Proof for 7622456508012569973749569
4. ! [X0] : (rich(X0) <=> (~creative(X0) & ~rich(X0))) [input p3]
24. rich(fred) [input hypothesis]
41. ! [X0] : ((rich(X0) | (creative(X0) | rich(X0))) & ((~creative(X0) & ~rich(X0)) | ~rich(X0))) [nnf trans... | 0 |
If someone is both not humble and not creative then someone is calm or not creative.
Everyone who is strong is either happy or tall and vice versa.
If mary is not curious or not rich then lucy is either patient or not kind.
If paul is either not creative or rich then someone is either not rich or not old and vice versa... | Lucy is patient. | neutral | ((?[X]:((~humble(X)&~creative(X))))=>(?[X]:((calm(X)|~creative(X)))))&
(![X]:(strong(X)<=>(happy(X)<~>tall(X))))&
(((~curious(mary)|~rich(mary)))=>((patient(lucy)<~>~kind(lucy))))&
(((~creative(paul)<~>rich(paul)))<=>(?[X]:((~rich(X)<~>~old(X)))))&
(((rich(paul)<~>~curious(paul)))=>((~curious(fred)|~creative(fred))))&
... | patient(lucy) | [] | null | 0 |
If paul is not wise then someone is not calm or not humble.
If someone is both not tall and not calm then someone is both not curious and not patient and vice versa.
If john is not strong or happy then someone is strong and vice versa.
If susan is not patient or not curious then someone is not kind and vice versa.
Ever... | Fred is creative. | contradiction | ((~wise(paul))=>(?[X]:((~calm(X)|~humble(X)))))&
((?[X]:((~tall(X)&~calm(X))))<=>(?[X]:((~curious(X)&~patient(X)))))&
(((~strong(john)|happy(john)))<=>(?[X]:(strong(X))))&
(((~patient(susan)|~curious(susan)))<=>(?[X]:(~kind(X))))&
(![X]:((~old(X)|~humble(X))=>(~wise(X)&~quiet(X))))&
(![X]:((~patient(X)&rich(X))<=>(curi... | creative(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2009056455392107730509673
% SZS output start Proof for 2009056455392107730509673
14. ! [X0] : (patient(X0) <=> (creative(X0) & ~patient(X0))) [input p13]
23. creative(fred) [input hypothesis]
64. ! [X0] : ((patient(X0) | (~creative(X0) | patient(X0))) & ((creative(X0) & ~patient(X0)) | ~p... | 0 |
Everyone who is tall is both not patient and not tall and vice versa.
If someone is both not humble and not funny then fred is either calm or strong.
If fred is both not calm and kind then someone is not strong and vice versa.
If susan is old or strong then someone is either not humble or not creative and vice versa.
E... | Susan is happy. | entailment | (![X]:(tall(X)<=>(~patient(X)&~tall(X))))&
((?[X]:((~humble(X)&~funny(X))))=>((calm(fred)<~>strong(fred))))&
(((~calm(fred)&kind(fred)))<=>(?[X]:(~strong(X))))&
(((old(susan)|strong(susan)))<=>(?[X]:((~humble(X)<~>~creative(X)))))&
(![X]:(~brave(X)<=>(patient(X)<~>~funny(X))))&
(![X]:((patient(X)<~>~rich(X))<=>(generou... | happy(susan) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6289606264969117445473154
% SZS output start Proof for 6289606264969117445473154
1. ! [X0] : (tall(X0) <=> (~tall(X0) & ~patient(X0))) [input p0]
10. ! [X0] : ((~old(X0) & ~patient(X0)) <=> (~happy(X0) | ~kind(X0))) [input p9]
22. ~happy(susan) [input hypothesis]
32. ! [X0] : ((tall(X0) |... | 0 |
Everyone who is both funny and not funny is either not brave or tall and vice versa.
Everyone who is not generous or not brave is not humble.
Everyone who is not curious or not tall is either not patient or not rich.
Everyone who is tall is either curious or rich.
Everyone who is not kind or not rich is rich and vice v... | Mary is not tall. | contradiction | (![X]:((funny(X)&~funny(X))<=>(~brave(X)<~>tall(X))))&
(![X]:((~generous(X)|~brave(X))=>~humble(X)))&
(![X]:((~curious(X)|~tall(X))=>(~patient(X)<~>~rich(X))))&
(![X]:(tall(X)=>(curious(X)<~>rich(X))))&
(![X]:((~kind(X)|~rich(X))<=>rich(X)))&
((?[X]:((~wise(X)|funny(X))))<=>((~patient(alice)&~strong(alice))))&
(![X]:((... | ~tall(mary) | [
"p0",
"p2",
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 467376268670537603846019
% SZS output start Proof for 467376268670537603846019
1. ! [X0] : ((~funny(X0) & funny(X0)) <=> (~brave(X0) <~> tall(X0))) [input p0]
3. ! [X0] : ((~tall(X0) | ~curious(X0)) => (~patient(X0) <~> ~rich(X0))) [input p2]
5. ! [X0] : ((~rich(X0) | ~kind(X0)) <=> rich(... | 0 |
Everyone who is either not creative or humble is not funny and vice versa.
Everyone who is not funny is strong.
If fred is either not old or strong then someone is both not calm and calm.
Everyone who is either not brave or not kind is both not old and not rich and vice versa.
Everyone who is both not quiet and not kin... | Mary is tall. | contradiction | (![X]:((~creative(X)<~>humble(X))<=>~funny(X)))&
(![X]:(~funny(X)=>strong(X)))&
(((~old(fred)<~>strong(fred)))=>(?[X]:((~calm(X)&calm(X)))))&
(![X]:((~brave(X)<~>~kind(X))<=>(~old(X)&~rich(X))))&
(![X]:((~quiet(X)&~kind(X))<=>tall(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~quiet(X)&curious(X))))&
((?[X]:((happy(X)<~>~ca... | tall(mary) | [
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 182837694759129737366017
% SZS output start Proof for 182837694759129737366017
5. ! [X0] : ((~kind(X0) & ~quiet(X0)) <=> tall(X0)) [input p4]
6. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> (curious(X0) & ~quiet(X0))) [input p5]
25. tall(mary) [input hypothesis]
45. ! [X0] : (((~kind(X0) & ... | 0 |
Everyone who is both not curious and not rich is both humble and patient. If paul is not creative or not calm then mary is quiet or curious and vice versa. If mary is not funny or not kind then paul is either wise or strong. Everyone who is both funny and not kind is not calm or not old. If someone is wise or curious t... | John is old. | neutral | (![X]:((~curious(X)&~rich(X))=>(humble(X)&patient(X))))&
(((~creative(paul)|~calm(paul)))<=>((quiet(mary)|curious(mary))))&
(((~funny(mary)|~kind(mary)))=>((wise(paul)<~>strong(paul))))&
(![X]:((funny(X)&~kind(X))=>(~calm(X)|~old(X))))&
((?[X]:((wise(X)|curious(X))))<=>(?[X]:((brave(X)&~old(X)))))&
(![X]:((strong(X)|~f... | old(john) | [] | null | 0 |
If john is either not happy or not quiet then someone is not creative.
If someone is both creative and not happy then lucy is tall and vice versa.
Everyone who is creative is not tall and vice versa.
Everyone who is not wise or humble is not kind.
If alice is both wise and not patient then someone is not rich and vice ... | Paul is not calm. | entailment | (((~happy(john)<~>~quiet(john)))=>(?[X]:(~creative(X))))&
((?[X]:((creative(X)&~happy(X))))<=>(tall(lucy)))&
(![X]:(creative(X)<=>~tall(X)))&
(![X]:((~wise(X)|humble(X))=>~kind(X)))&
(((wise(alice)&~patient(alice)))<=>(?[X]:(~rich(X))))&
(((wise(alice)<~>calm(alice)))=>((~calm(lucy)&patient(lucy))))&
(![X]:((rich(X)&ca... | ~calm(paul) | [
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3173910873370406853384134
% SZS output start Proof for 3173910873370406853384134
7. ! [X0] : ((calm(X0) & rich(X0)) <=> ~tall(X0)) [input p6]
23. ~rich(paul) <~> tall(paul) [input p22]
25. calm(paul) [input hypothesis]
48. ! [X0] : (((calm(X0) & rich(X0)) | tall(X0)) & (~tall(X0) | (~calm... | 0 |
If mary is both not funny and not happy then someone is not old. If lucy is not calm or not kind then someone is both not generous and not old and vice versa. If someone is both funny and not strong then someone is quiet or curious. Everyone who is wise or kind is both not generous and old. Everyone who is wise is not ... | Susan is quiet. | entailment | (((~funny(mary)&~happy(mary)))=>(?[X]:(~old(X))))&
(((~calm(lucy)|~kind(lucy)))<=>(?[X]:((~generous(X)&~old(X)))))&
((?[X]:((funny(X)&~strong(X))))=>(?[X]:((quiet(X)|curious(X)))))&
(![X]:((wise(X)|kind(X))=>(~generous(X)&old(X))))&
(![X]:(wise(X)=>(~wise(X)|patient(X))))&
((?[X]:(~generous(X)))<=>((~generous(susan)<~>... | quiet(susan) | [
"p1",
"p3",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1106074985982130582994479
% SZS output start Proof for 1106074985982130582994479
2. (~kind(lucy) | ~calm(lucy)) <=> ? [X0] : (~old(X0) & ~generous(X0)) [input p1]
4. ! [X0] : ((kind(X0) | wise(X0)) => (old(X0) & ~generous(X0))) [input p3]
6. ? [X0] : ~generous(X0) <=> (~generous(susan) <~... | 0 |
Everyone who is both not tall and not wise is patient or not rich and vice versa. Everyone who is both curious and not calm is both not brave and brave and vice versa. If someone is either not generous or not wise then someone is either tall or brave and vice versa. Everyone who is curious is both not strong and not fu... | Alice is curious. | contradiction | (![X]:((~tall(X)&~wise(X))<=>(patient(X)|~rich(X))))&
(![X]:((curious(X)&~calm(X))<=>(~brave(X)&brave(X))))&
((?[X]:((~generous(X)<~>~wise(X))))<=>(?[X]:((tall(X)<~>brave(X)))))&
(![X]:(curious(X)=>(~strong(X)&~funny(X))))&
(((~strong(fred)|happy(fred)))<=>((happy(john)|~kind(john))))&
(![X]:((funny(X)|generous(X))=>(c... | curious(alice) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5378596456782217642959490
% SZS output start Proof for 5378596456782217642959490
4. ! [X0] : (curious(X0) => (~funny(X0) & ~strong(X0))) [input p3]
9. ! [X0] : (curious(X0) => funny(X0)) [input p8]
25. curious(alice) [input hypothesis]
30. ! [X0] : ((~funny(X0) & ~strong(X0)) | ~curious(X... | 0 |
If someone is both not quiet and not kind then paul is not wise or strong and vice versa.
If john is rich or not calm then someone is either strong or kind and vice versa.
If fred is not creative then paul is either not tall or not calm and vice versa.
If someone is creative or not humble then fred is both kind and ric... | Lucy is quiet. | contradiction | ((?[X]:((~quiet(X)&~kind(X))))<=>((~wise(paul)|strong(paul))))&
(((rich(john)|~calm(john)))<=>(?[X]:((strong(X)<~>kind(X)))))&
((~creative(fred))<=>((~tall(paul)<~>~calm(paul))))&
((?[X]:((creative(X)|~humble(X))))<=>((kind(fred)&rich(fred))))&
((?[X]:((old(X)|generous(X))))=>(?[X]:((~happy(X)|generous(X)))))&
(![X]:((... | quiet(lucy) | [
"p8",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 213640968107070304640961
% SZS output start Proof for 213640968107070304640961
9. ! [X0] : (quiet(X0) => (rich(X0) & ~old(X0))) [input p8]
16. ! [X0] : ((creative(X0) & humble(X0)) <=> rich(X0)) [input p15]
17. ~humble(lucy) [input p16]
24. quiet(lucy) [input hypothesis]
31. ! [X0] : ((ri... | 0 |
Everyone who is both happy and not strong is either happy or brave.
If paul is calm or curious then paul is either not patient or not curious and vice versa.
If john is either not calm or kind then someone is both quiet and not patient.
If john is both not curious and not quiet then someone is not patient.
Everyone who... | John is not wise. | neutral | (![X]:((happy(X)&~strong(X))=>(happy(X)<~>brave(X))))&
(((calm(paul)|curious(paul)))<=>((~patient(paul)<~>~curious(paul))))&
(((~calm(john)<~>kind(john)))=>(?[X]:((quiet(X)&~patient(X)))))&
(((~curious(john)&~quiet(john)))=>(?[X]:(~patient(X))))&
(![X]:((strong(X)&~rich(X))<=>(tall(X)&~strong(X))))&
((?[X]:((happy(X)<~... | ~wise(john) | [] | null | 0 |
Everyone who is both rich and funny is rich or happy. If john is both generous and strong then someone is not old and vice versa. Everyone who is either not happy or not strong is brave and vice versa. Everyone who is old or creative is either not wise or generous and vice versa. Everyone who is wise is happy or not ol... | John is humble. | contradiction | (![X]:((rich(X)&funny(X))=>(rich(X)|happy(X))))&
(((generous(john)&strong(john)))<=>(?[X]:(~old(X))))&
(![X]:((~happy(X)<~>~strong(X))<=>brave(X)))&
(![X]:((old(X)|creative(X))<=>(~wise(X)<~>generous(X))))&
(![X]:(wise(X)=>(happy(X)|~old(X))))&
(![X]:((~patient(X)<~>quiet(X))=>calm(X)))&
(![X]:((kind(X)|old(X))<=>(~tal... | humble(john) | [
"p1",
"p3",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8441592591759729386863726
% SZS output start Proof for 8441592591759729386863726
2. (strong(john) & generous(john)) <=> ? [X0] : ~old(X0) [input p1]
4. ! [X0] : ((creative(X0) | old(X0)) <=> (~wise(X0) <~> generous(X0))) [input p3]
7. ! [X0] : ((old(X0) | kind(X0)) <=> (~funny(X0) & ~tall... | 0 |
If someone is both not creative and not brave then someone is quiet or brave.
Everyone who is either tall or not wise is generous or patient and vice versa.
If someone is both old and not calm then lucy is not tall or curious and vice versa.
Everyone who is not quiet is patient or brave and vice versa.
If someone is ei... | Mary is not generous. | entailment | ((?[X]:((~creative(X)&~brave(X))))=>(?[X]:((quiet(X)|brave(X)))))&
(![X]:((tall(X)<~>~wise(X))<=>(generous(X)|patient(X))))&
((?[X]:((old(X)&~calm(X))))<=>((~tall(lucy)|curious(lucy))))&
(![X]:(~quiet(X)<=>(patient(X)|brave(X))))&
((?[X]:((happy(X)<~>~strong(X))))=>(?[X]:((creative(X)|humble(X)))))&
(![X]:((~quiet(X)<~... | ~generous(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1813488289289307049133730
% SZS output start Proof for 1813488289289307049133730
15. ! [X0] : ((curious(X0) | generous(X0)) => (~generous(X0) & wise(X0))) [input p14]
22. generous(mary) [input hypothesis]
33. ! [X0] : ((~generous(X0) & wise(X0)) | (~curious(X0) & ~generous(X0))) [ennf tra... | 0 |
Everyone who is both not brave and not humble is both calm and not brave.
Everyone who is rich is both tall and curious.
Everyone who is not rich is not creative.
Everyone who is not calm or calm is patient.
If someone is tall or not humble then someone is either not quiet or not happy and vice versa.
Everyone who is b... | Mary is not quiet. | entailment | (![X]:((~brave(X)&~humble(X))=>(calm(X)&~brave(X))))&
(![X]:(rich(X)=>(tall(X)&curious(X))))&
(![X]:(~rich(X)=>~creative(X)))&
(![X]:((~calm(X)|calm(X))=>patient(X)))&
((?[X]:((tall(X)|~humble(X))))<=>(?[X]:((~quiet(X)<~>~happy(X)))))&
(![X]:((~calm(X)&kind(X))=>(~generous(X)&humble(X))))&
((?[X]:((quiet(X)&~generous(X... | ~quiet(mary) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6562381365206605636300515
% SZS output start Proof for 6562381365206605636300515
7. ? [X0] : (~generous(X0) & quiet(X0)) => ? [X0] : ~rich(X0) [input p6]
9. ! [X0] : (~rich(X0) <=> (rich(X0) & generous(X0))) [input p8]
21. quiet(mary) [input hypothesis]
23. ? [X0] : (~generous(X0) & quiet... | 0 |
If someone is both not rich and tall then someone is funny or creative and vice versa.
If someone is creative then someone is either happy or kind and vice versa.
If susan is either strong or not humble then mary is not funny or not generous.
Everyone who is both generous and not funny is both creative and not happy.
E... | Mary is not generous. | entailment | ((?[X]:((~rich(X)&tall(X))))<=>(?[X]:((funny(X)|creative(X)))))&
((?[X]:(creative(X)))<=>(?[X]:((happy(X)<~>kind(X)))))&
(((strong(susan)<~>~humble(susan)))=>((~funny(mary)|~generous(mary))))&
(![X]:((generous(X)&~funny(X))=>(creative(X)&~happy(X))))&
(![X]:((funny(X)|rich(X))=>(~old(X)<~>generous(X))))&
(![X]:((happy(... | ~generous(mary) | [
"p3",
"p7",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 737619293046222359514811
% SZS output start Proof for 737619293046222359514811
4. ! [X0] : ((~funny(X0) & generous(X0)) => (~happy(X0) & creative(X0))) [input p3]
8. ~funny(mary) <=> ? [X0] : (~strong(X0) | ~rich(X0)) [input p7]
13. ! [X0] : (creative(X0) <=> (curious(X0) & ~curious(X0)))... | 0 |
Everyone who is not tall or not quiet is either not brave or kind.
If mary is either wise or not old then alice is strong or tall and vice versa.
Everyone who is not humble is quiet and vice versa.
Everyone who is either not wise or not calm is either not curious or wise.
Everyone who is tall is both strong and not hap... | John is not curious. | neutral | (![X]:((~tall(X)|~quiet(X))=>(~brave(X)<~>kind(X))))&
(((wise(mary)<~>~old(mary)))<=>((strong(alice)|tall(alice))))&
(![X]:(~humble(X)<=>quiet(X)))&
(![X]:((~wise(X)<~>~calm(X))=>(~curious(X)<~>wise(X))))&
(![X]:(tall(X)=>(strong(X)&~happy(X))))&
(![X]:((~humble(X)|old(X))<=>~rich(X)))&
(![X]:((strong(X)&~rich(X))<=>(~... | ~curious(john) | [] | null | 0 |
Everyone who is funny is not humble or wise and vice versa.
Everyone who is creative or kind is both quiet and strong and vice versa.
Everyone who is both old and not humble is not wise and vice versa.
If someone is both creative and not kind then paul is old or brave and vice versa.
If fred is both not rich and old th... | Susan is not wise. | neutral | (![X]:(funny(X)<=>(~humble(X)|wise(X))))&
(![X]:((creative(X)|kind(X))<=>(quiet(X)&strong(X))))&
(![X]:((old(X)&~humble(X))<=>~wise(X)))&
((?[X]:((creative(X)&~kind(X))))<=>((old(paul)|brave(paul))))&
(((~rich(fred)&old(fred)))=>((old(paul)&funny(paul))))&
(![X]:((~patient(X)&strong(X))=>(quiet(X)&~wise(X))))&
(((curio... | ~wise(susan) | [] | null | 0 |
Everyone who is both funny and old is not strong or not happy and vice versa.
Everyone who is calm or kind is both tall and not rich and vice versa.
If susan is both not wise and not happy then someone is not strong.
If fred is curious or kind then someone is both not old and not funny.
Everyone who is both not old and... | Alice is curious. | neutral | (![X]:((funny(X)&old(X))<=>(~strong(X)|~happy(X))))&
(![X]:((calm(X)|kind(X))<=>(tall(X)&~rich(X))))&
(((~wise(susan)&~happy(susan)))=>(?[X]:(~strong(X))))&
(((curious(fred)|kind(fred)))=>(?[X]:((~old(X)&~funny(X)))))&
(![X]:((~old(X)&happy(X))=>rich(X)))&
(((creative(susan)<~>calm(susan)))<=>((creative(lucy)&wise(lucy... | curious(alice) | [] | null | 0 |
If someone is not rich then someone is patient or quiet.
If someone is both old and rich then someone is both curious and brave.
If paul is either not wise or tall then someone is both not creative and patient.
Everyone who is not quiet or strong is not strong.
Everyone who is strong or not old is rich or not old.
Ever... | Fred is strong. | contradiction | ((?[X]:(~rich(X)))=>(?[X]:((patient(X)|quiet(X)))))&
((?[X]:((old(X)&rich(X))))=>(?[X]:((curious(X)&brave(X)))))&
(((~wise(paul)<~>tall(paul)))=>(?[X]:((~creative(X)&patient(X)))))&
(![X]:((~quiet(X)|strong(X))=>~strong(X)))&
(![X]:((strong(X)|~old(X))=>(rich(X)|~old(X))))&
(![X]:((~calm(X)<~>old(X))=>~happy(X)))&
(((g... | strong(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 173344581501113216132274
% SZS output start Proof for 173344581501113216132274
4. ! [X0] : ((strong(X0) | ~quiet(X0)) => ~strong(X0)) [input p3]
25. strong(fred) [input hypothesis]
34. ! [X0] : (~strong(X0) | (~strong(X0) & quiet(X0))) [ennf transformation 4]
89. ~strong(X0) | ~strong(X0)... | 0 |
Everyone who is both not rich and brave is either not patient or brave.
Everyone who is not kind is both generous and kind.
Everyone who is either humble or not patient is either not generous or curious and vice versa.
Everyone who is not humble or brave is both not tall and not funny.
If someone is both brave and tall... | Alice is not curious. | neutral | (![X]:((~rich(X)&brave(X))=>(~patient(X)<~>brave(X))))&
(![X]:(~kind(X)=>(generous(X)&kind(X))))&
(![X]:((humble(X)<~>~patient(X))<=>(~generous(X)<~>curious(X))))&
(![X]:((~humble(X)|brave(X))=>(~tall(X)&~funny(X))))&
((?[X]:((brave(X)&tall(X))))<=>(?[X]:((~creative(X)<~>~old(X)))))&
(![X]:(quiet(X)<=>patient(X)))&
((?... | ~curious(alice) | [] | null | 0 |
Everyone who is not old or brave is both not brave and not old and vice versa. If someone is humble or happy then mary is either tall or not creative. Everyone who is not brave or kind is not funny and vice versa. Everyone who is rich is wise or not tall. Everyone who is either not curious or not calm is curious and vi... | Lucy is strong. | neutral | (![X]:((~old(X)|brave(X))<=>(~brave(X)&~old(X))))&
((?[X]:((humble(X)|happy(X))))=>((tall(mary)<~>~creative(mary))))&
(![X]:((~brave(X)|kind(X))<=>~funny(X)))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(~rich(X)<=>... | strong(lucy) | [] | null | 0 |
Everyone who is both kind and quiet is either wise or old and vice versa. If someone is quiet then alice is both creative and not old and vice versa. Everyone who is either brave or not patient is old or wise. Everyone who is patient is not strong or not brave and vice versa. Everyone who is both wise and happy is not ... | Alice is not quiet. | entailment | (![X]:((kind(X)&quiet(X))<=>(wise(X)<~>old(X))))&
((?[X]:(quiet(X)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:((wise(X)&happy(X))<=>(~old(X)|kind(X))))&
(![X]:((~old(X)<~>~curious(X))<=>(~wise(X)|~funny(X))))&
((?[X]:((~... | ~quiet(alice) | [
"p0",
"p1",
"p4",
"p7",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 752940990271761238563350
% SZS output start Proof for 752940990271761238563350
1. ! [X0] : ((quiet(X0) & kind(X0)) <=> (wise(X0) <~> old(X0))) [input p0]
2. ? [X0] : quiet(X0) <=> (~old(alice) & creative(alice)) [input p1]
5. ! [X0] : ((happy(X0) & wise(X0)) <=> (kind(X0) | ~old(X0))) [in... | 0 |
Everyone who is not wise is both not patient and quiet.
If susan is strong then fred is not quiet.
If someone is both not brave and not patient then someone is not generous.
If alice is either not creative or old then susan is humble and vice versa.
Everyone who is not calm is both not funny and brave.
If someone is ei... | Alice is calm. | neutral | (![X]:(~wise(X)=>(~patient(X)&quiet(X))))&
((strong(susan))=>(~quiet(fred)))&
((?[X]:((~brave(X)&~patient(X))))=>(?[X]:(~generous(X))))&
(((~creative(alice)<~>old(alice)))<=>(humble(susan)))&
(![X]:(~calm(X)=>(~funny(X)&brave(X))))&
((?[X]:((~generous(X)<~>creative(X))))=>((old(mary)&quiet(mary))))&
(![X]:((~kind(X)&fu... | calm(alice) | [] | null | 0 |
Everyone who is not kind is both not rich and generous and vice versa.
Everyone who is not rich is not curious or happy.
If someone is funny then mary is both calm and not curious and vice versa.
If someone is calm or tall then lucy is not patient or happy and vice versa.
Everyone who is either patient or happy is both... | Mary is not wise. | contradiction | (![X]:(~kind(X)<=>(~rich(X)&generous(X))))&
(![X]:(~rich(X)=>(~curious(X)|happy(X))))&
((?[X]:(funny(X)))<=>((calm(mary)&~curious(mary))))&
((?[X]:((calm(X)|tall(X))))<=>((~patient(lucy)|happy(lucy))))&
(![X]:((patient(X)<~>happy(X))=>(strong(X)&~rich(X))))&
(![X]:(curious(X)=>(humble(X)<~>quiet(X))))&
(![X]:((quiet(X)... | ~wise(mary) | [
"p5",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2414884851484409995409004
% SZS output start Proof for 2414884851484409995409004
6. ! [X0] : (curious(X0) => (humble(X0) <~> quiet(X0))) [input p5]
7. ! [X0] : ((strong(X0) | quiet(X0)) <=> (~curious(X0) & ~wise(X0))) [input p6]
15. ! [X0] : ((humble(X0) | creative(X0)) <=> wise(X0)) [inp... | 0 |
If someone is humble then alice is not tall or not wise and vice versa.
Everyone who is not brave or not old is not rich or not old and vice versa.
If someone is not humble then fred is not creative or not brave and vice versa.
Everyone who is not kind is both rich and calm.
Everyone who is both not rich and not happy ... | Susan is brave. | contradiction | ((?[X]:(humble(X)))<=>((~tall(alice)|~wise(alice))))&
(![X]:((~brave(X)|~old(X))<=>(~rich(X)|~old(X))))&
((?[X]:(~humble(X)))<=>((~creative(fred)|~brave(fred))))&
(![X]:(~kind(X)=>(rich(X)&calm(X))))&
(![X]:((~rich(X)&~happy(X))<=>(rich(X)&~old(X))))&
(((patient(john)|quiet(john)))<=>(?[X]:((old(X)&~calm(X)))))&
(((~fu... | brave(susan) | [
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8235365300556906497215327
% SZS output start Proof for 8235365300556906497215327
12. ? [X0] : (~tall(X0) <~> ~brave(X0)) <=> ~brave(susan) [input p11]
15. ! [X0] : (~brave(X0) <=> tall(X0)) [input p14]
25. brave(susan) [input hypothesis]
62. (? [X0] : ((brave(X0) | tall(X0)) & (~brave(X0)... | 0 |
Everyone who is either strong or not rich is either not quiet or not humble and vice versa. If someone is both curious and not generous then someone is both quiet and rich and vice versa. Everyone who is both not funny and wise is funny and vice versa. Everyone who is not rich is wise. If someone is both not curious an... | Fred is generous. | neutral | (![X]:((strong(X)<~>~rich(X))<=>(~quiet(X)<~>~humble(X))))&
((?[X]:((curious(X)&~generous(X))))<=>(?[X]:((quiet(X)&rich(X)))))&
(![X]:((~funny(X)&wise(X))<=>funny(X)))&
(![X]:(~rich(X)=>wise(X)))&
((?[X]:((~curious(X)&quiet(X))))=>((~quiet(alice)|brave(alice))))&
(((~generous(alice)<~>~brave(alice)))=>(~wise(mary)))&
(... | generous(fred) | [] | null | 0 |
If someone is happy then alice is patient and vice versa.
If alice is both not happy and creative then lucy is both curious and not kind and vice versa.
Everyone who is not old is tall.
Everyone who is both not old and not happy is creative or humble and vice versa.
Everyone who is either happy or not funny is not tall... | Susan is humble. | contradiction | ((?[X]:(happy(X)))<=>(patient(alice)))&
(((~happy(alice)&creative(alice)))<=>((curious(lucy)&~kind(lucy))))&
(![X]:(~old(X)=>tall(X)))&
(![X]:((~old(X)&~happy(X))<=>(creative(X)|humble(X))))&
(![X]:((happy(X)<~>~funny(X))<=>(~tall(X)|humble(X))))&
(![X]:((~creative(X)<~>tall(X))=>~humble(X)))&
(![X]:((curious(X)|brave(... | humble(susan) | [
"p3",
"p4",
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4710153535064105153576951
% SZS output start Proof for 4710153535064105153576951
4. ! [X0] : ((~happy(X0) & ~old(X0)) <=> (humble(X0) | creative(X0))) [input p3]
5. ! [X0] : ((happy(X0) <~> ~funny(X0)) <=> (humble(X0) | ~tall(X0))) [input p4]
7. ! [X0] : ((brave(X0) | curious(X0)) <=> (qu... | 0 |
If someone is both not rich and not patient then someone is either not rich or not kind. Everyone who is both humble and not funny is wise or not calm and vice versa. Everyone who is either not generous or not curious is patient and vice versa. Everyone who is either not generous or curious is not brave and vice versa.... | Susan is not wise. | entailment | ((?[X]:((~rich(X)&~patient(X))))=>(?[X]:((~rich(X)<~>~kind(X)))))&
(![X]:((humble(X)&~funny(X))<=>(wise(X)|~calm(X))))&
(![X]:((~generous(X)<~>~curious(X))<=>patient(X)))&
(![X]:((~generous(X)<~>curious(X))<=>~brave(X)))&
((?[X]:(kind(X)))<=>(creative(paul)))&
(![X]:((wise(X)&brave(X))<=>(funny(X)<~>~patient(X))))&
((?... | ~wise(susan) | [
"p1",
"p2",
"p3",
"p5",
"p7",
"p9",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2237657849350931732212562
% SZS output start Proof for 2237657849350931732212562
2. ! [X0] : ((~funny(X0) & humble(X0)) <=> (~calm(X0) | wise(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> ~curious(X0)) <=> patient(X0)) [input p2]
4. ! [X0] : ((~generous(X0) <~> curious(X0)) <=> ~brave(... | 0 |
If mary is both not wise and not creative then alice is not humble.
Everyone who is both not kind and humble is not funny or not generous.
If someone is not tall or generous then someone is both kind and not old and vice versa.
Everyone who is both brave and kind is not humble or strong and vice versa.
Everyone who is ... | Alice is not humble. | entailment | (((~wise(mary)&~creative(mary)))=>(~humble(alice)))&
(![X]:((~kind(X)&humble(X))=>(~funny(X)|~generous(X))))&
((?[X]:((~tall(X)|generous(X))))<=>(?[X]:((kind(X)&~old(X)))))&
(![X]:((brave(X)&kind(X))<=>(~humble(X)|strong(X))))&
(![X]:((rich(X)&~kind(X))<=>(~happy(X)<~>~calm(X))))&
(![X]:(tall(X)<=>curious(X)))&
((?[X]:... | ~humble(alice) | [
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5945531016625761897423563
% SZS output start Proof for 5945531016625761897423563
13. ! [X0] : ((~creative(X0) | humble(X0)) => (rich(X0) & happy(X0))) [input p12]
21. ~rich(alice) & quiet(alice) [input p20]
25. humble(alice) [input hypothesis]
30. ! [X0] : (humble(X0) => (rich(X0) & happy... | 0 |
Everyone who is both calm and not funny is humble or not rich.
Everyone who is both not happy and old is both not brave and brave and vice versa.
If someone is not humble then lucy is both humble and not generous.
If someone is both rich and calm then someone is not brave and vice versa.
If someone is both not brave an... | Lucy is wise. | contradiction | (![X]:((calm(X)&~funny(X))=>(humble(X)|~rich(X))))&
(![X]:((~happy(X)&old(X))<=>(~brave(X)&brave(X))))&
((?[X]:(~humble(X)))=>((humble(lucy)&~generous(lucy))))&
((?[X]:((rich(X)&calm(X))))<=>(?[X]:(~brave(X))))&
((?[X]:((~brave(X)&~wise(X))))=>((~strong(susan)|~rich(susan))))&
(![X]:((rich(X)<~>~strong(X))<=>(~generous... | wise(lucy) | [
"p0",
"p3",
"p6",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2897014713172194218314325
% SZS output start Proof for 2897014713172194218314325
1. ! [X0] : ((~funny(X0) & calm(X0)) => (~rich(X0) | humble(X0))) [input p0]
4. ? [X0] : (calm(X0) & rich(X0)) <=> ? [X0] : ~brave(X0) [input p3]
7. ! [X0] : ((~curious(X0) | calm(X0)) => ~humble(X0)) [input ... | 0 |
Everyone who is tall or rich is rich or quiet and vice versa. If alice is either not creative or humble then someone is either humble or old and vice versa. Everyone who is generous or not quiet is either happy or strong and vice versa. Everyone who is either not funny or not humble is strong or generous. Everyone who ... | Mary is not generous. | entailment | (![X]:((tall(X)|rich(X))<=>(rich(X)|quiet(X))))&
(((~creative(alice)<~>humble(alice)))<=>(?[X]:((humble(X)<~>old(X)))))&
(![X]:((generous(X)|~quiet(X))<=>(happy(X)<~>strong(X))))&
(![X]:((~funny(X)<~>~humble(X))=>(strong(X)|generous(X))))&
(![X]:((~happy(X)|~kind(X))<=>(tall(X)<~>~happy(X))))&
((?[X]:((~calm(X)<~>~rich... | ~generous(mary) | [
"p2",
"p4",
"p6",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8704674071354114023125390
% SZS output start Proof for 8704674071354114023125390
3. ! [X0] : ((~quiet(X0) | generous(X0)) <=> (happy(X0) <~> strong(X0))) [input p2]
5. ! [X0] : ((~kind(X0) | ~happy(X0)) <=> (tall(X0) <~> ~happy(X0))) [input p4]
7. ! [X0] : ((~tall(X0) <~> funny(X0)) <=> h... | 0 |
If mary is not humble or not kind then paul is either not patient or curious. Everyone who is calm or wise is either quiet or brave and vice versa. Everyone who is patient or not happy is either not happy or not kind. If someone is either not strong or old then susan is both not calm and not curious. If someone is not ... | John is not tall. | contradiction | (((~humble(mary)|~kind(mary)))=>((~patient(paul)<~>curious(paul))))&
(![X]:((calm(X)|wise(X))<=>(quiet(X)<~>brave(X))))&
(![X]:((patient(X)|~happy(X))=>(~happy(X)<~>~kind(X))))&
((?[X]:((~strong(X)<~>old(X))))=>((~calm(susan)&~curious(susan))))&
((?[X]:(~quiet(X)))<=>((~happy(alice)&~wise(alice))))&
(![X]:((~calm(X)&~c... | ~tall(john) | [
"p1",
"p5",
"p10",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7855820017800311913379764
% SZS output start Proof for 7855820017800311913379764
2. ! [X0] : ((wise(X0) | calm(X0)) <=> (quiet(X0) <~> brave(X0))) [input p1]
6. ! [X0] : ((~creative(X0) & ~calm(X0)) => tall(X0)) [input p5]
11. ! [X0] : (creative(X0) <=> (strong(X0) & calm(X0))) [input p10... | 0 |
Everyone who is wise or not kind is humble or old.
Everyone who is patient or not old is funny.
Everyone who is either not patient or old is both not calm and not creative.
Everyone who is either patient or not brave is both calm and not happy and vice versa.
If someone is happy then someone is either not kind or brave... | Fred is not patient. | contradiction | (![X]:((wise(X)|~kind(X))=>(humble(X)|old(X))))&
(![X]:((patient(X)|~old(X))=>funny(X)))&
(![X]:((~patient(X)<~>old(X))=>(~calm(X)&~creative(X))))&
(![X]:((patient(X)<~>~brave(X))<=>(calm(X)&~happy(X))))&
((?[X]:(happy(X)))=>(?[X]:((~kind(X)<~>brave(X)))))&
(![X]:(~wise(X)<=>(~quiet(X)&~wise(X))))&
(![X]:((kind(X)|~hap... | ~patient(fred) | [
"p1",
"p3",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8737761541288206278831041
% SZS output start Proof for 8737761541288206278831041
2. ! [X0] : ((~old(X0) | patient(X0)) => funny(X0)) [input p1]
4. ! [X0] : ((patient(X0) <~> ~brave(X0)) <=> (~happy(X0) & calm(X0))) [input p3]
14. (rich(fred) & ~brave(fred)) <=> ? [X0] : (~calm(X0) | funny... | 0 |
If someone is wise or kind then lucy is patient or not curious and vice versa. If someone is both not brave and curious then susan is calm and vice versa. If someone is both not creative and old then someone is either curious or not brave and vice versa. If john is either not rich or generous then someone is either cre... | John is not old. | entailment | ((?[X]:((wise(X)|kind(X))))<=>((patient(lucy)|~curious(lucy))))&
((?[X]:((~brave(X)&curious(X))))<=>(calm(susan)))&
((?[X]:((~creative(X)&old(X))))<=>(?[X]:((curious(X)<~>~brave(X)))))&
(((~rich(john)<~>generous(john)))<=>(?[X]:((creative(X)<~>quiet(X)))))&
(((~old(lucy)<~>happy(lucy)))<=>(?[X]:((~wise(X)<~>tall(X)))))... | ~old(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2173710750417560860757699
% SZS output start Proof for 2173710750417560860757699
12. ! [X0] : ((~strong(X0) | old(X0)) => ~old(X0)) [input p11]
25. old(john) [input hypothesis]
30. ! [X0] : (~old(X0) | (strong(X0) & ~old(X0))) [ennf transformation 12]
143. ~old(X0) | ~old(X0) [cnf transfo... | 0 |
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