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 generous or not tall is funny or happy and vice versa.
Everyone who is both not strong and tall is rich and vice versa.
If someone is both not strong and not quiet then someone is brave or not humble.
Everyone who is both quiet and curious is either not generous or not quiet and vice versa.
Every... | Mary is old. | entailment | (![X]:((generous(X)<~>~tall(X))<=>(funny(X)|happy(X))))&
(![X]:((~strong(X)&tall(X))<=>rich(X)))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~kind(X)))&
(![X]:((~funny(X)|kind(X))<=>~happy(X)))&
(((curious(... | old(mary) | [
"p0",
"p3",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3956781973350610545195828
% SZS output start Proof for 3956781973350610545195828
1. ! [X0] : ((generous(X0) <~> ~tall(X0)) <=> (happy(X0) | funny(X0))) [input p0]
4. ! [X0] : ((curious(X0) & quiet(X0)) <=> (~generous(X0) <~> ~quiet(X0))) [input p3]
10. ! [X0] : (~old(X0) => (~patient(X0) ... | 0 |
Everyone who is both wise and not creative is humble or generous and vice versa.
If someone is both not humble and not curious then paul is both not quiet and not brave.
Everyone who is either not wise or not old is strong and vice versa.
Everyone who is not curious or not old is wise and vice versa.
Everyone who is qu... | Susan is not brave. | contradiction | (![X]:((wise(X)&~creative(X))<=>(humble(X)|generous(X))))&
((?[X]:((~humble(X)&~curious(X))))=>((~quiet(paul)&~brave(paul))))&
(![X]:((~wise(X)<~>~old(X))<=>strong(X)))&
(![X]:((~curious(X)|~old(X))<=>wise(X)))&
(![X]:(quiet(X)<=>(strong(X)|~humble(X))))&
(((~brave(susan)<~>~tall(susan)))=>(~creative(mary)))&
((?[X]:((... | ~brave(susan) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8643406022734059462340783
% SZS output start Proof for 8643406022734059462340783
1. ! [X0] : ((~creative(X0) & wise(X0)) <=> (generous(X0) | humble(X0))) [input p0]
2. ? [X0] : (~curious(X0) & ~humble(X0)) => (~brave(paul) & ~quiet(paul)) [input p1]
3. ! [X0] : ((~wise(X0) <~> ~old(X0)) <... | 0 |
If john is not brave then john is not kind or happy and vice versa.
Everyone who is kind or not tall is not strong or funny and vice versa.
Everyone who is both humble and not kind is kind and vice versa.
Everyone who is patient is creative or not generous.
Everyone who is brave or old is either not brave or not rich a... | Fred is not calm. | contradiction | ((~brave(john))<=>((~kind(john)|happy(john))))&
(![X]:((kind(X)|~tall(X))<=>(~strong(X)|funny(X))))&
(![X]:((humble(X)&~kind(X))<=>kind(X)))&
(![X]:(patient(X)=>(creative(X)|~generous(X))))&
(![X]:((brave(X)|old(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:(~kind(X)<=>(~funny(X)&~old(X))))&
(![X]:(~quiet(X)=>(~patient(X)|~kin... | ~calm(fred) | [
"p2",
"p3",
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 264501546285161671390721
% SZS output start Proof for 264501546285161671390721
3. ! [X0] : ((~kind(X0) & humble(X0)) <=> kind(X0)) [input p2]
4. ! [X0] : (patient(X0) => (~generous(X0) | creative(X0))) [input p3]
6. ! [X0] : (~kind(X0) <=> (~old(X0) & ~funny(X0))) [input p5]
13. ! [X0] : ... | 0 |
If alice is not happy or old then someone is either happy or not tall. If someone is either not curious or calm then fred is both patient and strong. If mary is either not quiet or not strong then someone is either creative or curious. Everyone who is strong is not tall. If someone is happy or calm then mary is not qui... | Alice is not curious. | entailment | (((~happy(alice)|old(alice)))=>(?[X]:((happy(X)<~>~tall(X)))))&
((?[X]:((~curious(X)<~>calm(X))))=>((patient(fred)&strong(fred))))&
(((~quiet(mary)<~>~strong(mary)))=>(?[X]:((creative(X)<~>curious(X)))))&
(![X]:(strong(X)=>~tall(X)))&
((?[X]:((happy(X)|calm(X))))=>(~quiet(mary)))&
(![X]:((~curious(X)|~calm(X))<=>(~curi... | ~curious(alice) | [
"p1",
"p5",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6244377078930771126679058
% SZS output start Proof for 6244377078930771126679058
2. ? [X0] : (~curious(X0) <~> calm(X0)) => (strong(fred) & patient(fred)) [input p1]
6. ! [X0] : ((~calm(X0) | ~curious(X0)) <=> (funny(X0) & ~curious(X0))) [input p5]
7. ! [X0] : ((humble(X0) | curious(X0)) ... | 0 |
If someone is generous or not generous then john is either quiet or strong. Everyone who is not calm or not rich is either not old or not curious. If alice is not funny then fred is not brave and vice versa. If john is either quiet or not strong then someone is curious or wise and vice versa. Everyone who is generous o... | John is not strong. | entailment | ((?[X]:((generous(X)|~generous(X))))=>((quiet(john)<~>strong(john))))&
(![X]:((~calm(X)|~rich(X))=>(~old(X)<~>~curious(X))))&
((~funny(alice))<=>(~brave(fred)))&
(((quiet(john)<~>~strong(john)))<=>(?[X]:((curious(X)|wise(X)))))&
(![X]:((generous(X)|calm(X))<=>(~kind(X)&happy(X))))&
(![X]:((~generous(X)|~humble(X))=>(~c... | ~strong(john) | [
"p0",
"p4",
"p5",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4619295404258279676158361
% SZS output start Proof for 4619295404258279676158361
1. ? [X0] : (~generous(X0) | generous(X0)) => (quiet(john) <~> strong(john)) [input p0]
5. ! [X0] : ((calm(X0) | generous(X0)) <=> (happy(X0) & ~kind(X0))) [input p4]
6. ! [X0] : ((~humble(X0) | ~generous(X0)... | 0 |
If someone is not patient or not humble then paul is both calm and brave and vice versa.
If someone is wise or not humble then paul is either not creative or old.
Everyone who is not curious or not funny is both patient and curious and vice versa.
Everyone who is either tall or wise is both tall and not tall and vice v... | Susan is tall. | contradiction | ((?[X]:((~patient(X)|~humble(X))))<=>((calm(paul)&brave(paul))))&
((?[X]:((wise(X)|~humble(X))))=>((~creative(paul)<~>old(paul))))&
(![X]:((~curious(X)|~funny(X))<=>(patient(X)&curious(X))))&
(![X]:((tall(X)<~>wise(X))<=>(tall(X)&~tall(X))))&
(![X]:((~curious(X)&wise(X))<=>(~tall(X)&~patient(X))))&
((?[X]:((strong(X)<~... | tall(susan) | [
"p2",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5284008571808219733676456
% SZS output start Proof for 5284008571808219733676456
3. ! [X0] : ((~funny(X0) | ~curious(X0)) <=> (curious(X0) & patient(X0))) [input p2]
7. ! [X0] : ((tall(X0) | ~patient(X0)) => (rich(X0) & patient(X0))) [input p6]
13. (kind(susan) | brave(susan)) <=> (quiet(... | 0 |
If someone is both not creative and rich then mary is not curious and vice versa.
If someone is curious then susan is happy or not creative and vice versa.
If susan is creative or calm then paul is not quiet or happy and vice versa.
If susan is rich or brave then someone is either tall or generous.
Everyone who is not ... | Lucy is not rich. | entailment | ((?[X]:((~creative(X)&rich(X))))<=>(~curious(mary)))&
((?[X]:(curious(X)))<=>((happy(susan)|~creative(susan))))&
(((creative(susan)|calm(susan)))<=>((~quiet(paul)|happy(paul))))&
(((rich(susan)|brave(susan)))=>(?[X]:((tall(X)<~>generous(X)))))&
(![X]:((~tall(X)|~calm(X))=>(~rich(X)<~>kind(X))))&
(![X]:((~generous(X)|ri... | ~rich(lucy) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 24977206635356006228559
% SZS output start Proof for 24977206635356006228559
7. ! [X0] : (~kind(X0) => (~rich(X0) & ~kind(X0))) [input p6]
17. ~kind(lucy) [input p16]
25. rich(lucy) [input hypothesis]
29. ! [X0] : ((~rich(X0) & ~kind(X0)) | kind(X0)) [ennf transformation 7]
102. ~rich(X0)... | 0 |
If someone is not funny or rich then someone is either not generous or brave and vice versa. If someone is both old and not creative then someone is both quiet and happy and vice versa. Everyone who is old or quiet is either kind or creative and vice versa. Everyone who is patient or not quiet is both creative and not ... | Susan is tall. | contradiction | ((?[X]:((~funny(X)|rich(X))))<=>(?[X]:((~generous(X)<~>brave(X)))))&
((?[X]:((old(X)&~creative(X))))<=>(?[X]:((quiet(X)&happy(X)))))&
(![X]:((old(X)|quiet(X))<=>(kind(X)<~>creative(X))))&
(![X]:((patient(X)|~quiet(X))<=>(creative(X)&~quiet(X))))&
((?[X]:((humble(X)<~>~calm(X))))=>(~humble(mary)))&
(![X]:((~happy(X)|~cu... | tall(susan) | [
"p2",
"p3",
"p5",
"p6",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7307353253283452214269915
% SZS output start Proof for 7307353253283452214269915
3. ! [X0] : ((quiet(X0) | old(X0)) <=> (kind(X0) <~> creative(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) | patient(X0)) <=> (~quiet(X0) & creative(X0))) [input p3]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> ... | 0 |
Everyone who is both calm and not generous is strong or not humble and vice versa.
Everyone who is calm is both not generous and funny and vice versa.
If someone is not wise then someone is rich or happy.
If susan is creative or not wise then john is rich or not rich.
If mary is either not kind or curious then someone ... | Mary is not kind. | neutral | (![X]:((calm(X)&~generous(X))<=>(strong(X)|~humble(X))))&
(![X]:(calm(X)<=>(~generous(X)&funny(X))))&
((?[X]:(~wise(X)))=>(?[X]:((rich(X)|happy(X)))))&
(((creative(susan)|~wise(susan)))=>((rich(john)|~rich(john))))&
(((~kind(mary)<~>curious(mary)))=>(?[X]:((old(X)<~>creative(X)))))&
(![X]:((brave(X)|kind(X))=>(rich(X)<... | ~kind(mary) | [] | null | 0 |
Everyone who is both not old and kind is not happy and vice versa. Everyone who is both rich and not creative is not tall or not patient. If someone is tall or humble then john is both not calm and tall and vice versa. If someone is either calm or rich then paul is both not creative and strong. Everyone who is brave or... | Paul is not brave. | entailment | (![X]:((~old(X)&kind(X))<=>~happy(X)))&
(![X]:((rich(X)&~creative(X))=>(~tall(X)|~patient(X))))&
((?[X]:((tall(X)|humble(X))))<=>((~calm(john)&tall(john))))&
((?[X]:((calm(X)<~>rich(X))))=>((~creative(paul)&strong(paul))))&
(![X]:((brave(X)|~tall(X))=>(~patient(X)&old(X))))&
(![X]:((~humble(X)<~>calm(X))=>(~wise(X)&~ta... | ~brave(paul) | [
"p4",
"p6",
"p7",
"p8",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7572337426915471482677517
% SZS output start Proof for 7572337426915471482677517
5. ! [X0] : ((~tall(X0) | brave(X0)) => (old(X0) & ~patient(X0))) [input p4]
7. ! [X0] : ((~tall(X0) <~> old(X0)) <=> (patient(X0) | ~generous(X0))) [input p6]
8. quiet(paul) <=> (~strong(lucy) | rich(lucy)) ... | 0 |
If susan is either not brave or generous then someone is generous or not brave and vice versa.
If someone is not strong or not calm then someone is tall or calm.
If someone is either brave or not generous then fred is both not happy and happy.
If fred is tall or funny then someone is calm or generous.
If someone is bot... | Fred is creative. | contradiction | (((~brave(susan)<~>generous(susan)))<=>(?[X]:((generous(X)|~brave(X)))))&
((?[X]:((~strong(X)|~calm(X))))=>(?[X]:((tall(X)|calm(X)))))&
((?[X]:((brave(X)<~>~generous(X))))=>((~happy(fred)&happy(fred))))&
(((tall(fred)|funny(fred)))=>(?[X]:((calm(X)|generous(X)))))&
((?[X]:((creative(X)&tall(X))))<=>(?[X]:((quiet(X)&~ol... | creative(fred) | [
"p0",
"p2",
"p5",
"p7",
"p9",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5697681448285440745646029
% SZS output start Proof for 5697681448285440745646029
1. (~brave(susan) <~> generous(susan)) <=> ? [X0] : (~brave(X0) | generous(X0)) [input p0]
3. ? [X0] : (brave(X0) <~> ~generous(X0)) => (happy(fred) & ~happy(fred)) [input p2]
6. ? [X0] : ~funny(X0) <=> ? [X0... | 0 |
Everyone who is both not patient and not wise is not tall or not strong and vice versa.
If paul is not wise or tall then fred is not strong.
Everyone who is rich or not strong is not brave or not kind and vice versa.
Everyone who is not kind or patient is both not brave and not tall.
Everyone who is creative is rich an... | Fred is not tall. | entailment | (![X]:((~patient(X)&~wise(X))<=>(~tall(X)|~strong(X))))&
(((~wise(paul)|tall(paul)))=>(~strong(fred)))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich(alice))<=>((patient(mary)&~happy(mary))))&
(![X]:(~kind(X)=>(funny(X)... | ~tall(fred) | [
"p0",
"p1",
"p3",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 340261327693031037840336
% SZS output start Proof for 340261327693031037840336
1. ! [X0] : ((~wise(X0) & ~patient(X0)) <=> (~strong(X0) | ~tall(X0))) [input p0]
2. (tall(paul) | ~wise(paul)) => ~strong(fred) [input p1]
4. ! [X0] : ((patient(X0) | ~kind(X0)) => (~tall(X0) & ~brave(X0))) [i... | 0 |
If someone is not rich then someone is either not quiet or quiet. If susan is not kind or not funny then someone is not rich or creative and vice versa. Everyone who is not strong is both humble and calm. Everyone who is wise or humble is both quiet and not funny and vice versa. Everyone who is not generous is not old.... | Alice is not strong. | neutral | ((?[X]:(~rich(X)))=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(((~kind(susan)|~funny(susan)))<=>(?[X]:((~rich(X)|creative(X)))))&
(![X]:(~strong(X)=>(humble(X)&calm(X))))&
(![X]:((wise(X)|humble(X))<=>(quiet(X)&~funny(X))))&
(![X]:(~generous(X)=>~old(X)))&
((creative(paul))<=>((rich(lucy)&~wise(lucy))))&
(![X]:((tall(X)<~>wise... | ~strong(alice) | [] | null | 0 |
If lucy is either not curious or happy then someone is brave.
Everyone who is either not rich or humble is generous.
If fred is calm or not patient then someone is either generous or curious.
If john is either calm or wise then fred is not creative and vice versa.
Everyone who is not creative or not wise is old.
Everyo... | Lucy is not funny. | entailment | (((~curious(lucy)<~>happy(lucy)))=>(?[X]:(brave(X))))&
(![X]:((~rich(X)<~>humble(X))=>generous(X)))&
(((calm(fred)|~patient(fred)))=>(?[X]:((generous(X)<~>curious(X)))))&
(((calm(john)<~>wise(john)))<=>(~creative(fred)))&
(![X]:((~creative(X)|~wise(X))=>old(X)))&
(![X]:(~humble(X)=>(~brave(X)&~tall(X))))&
(![X]:((funny... | ~funny(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4368912319051047954349492
% SZS output start Proof for 4368912319051047954349492
18. ~funny(lucy) & ~creative(lucy) [input p17]
24. funny(lucy) [input hypothesis]
121. ~funny(lucy) [cnf transformation 18]
130. funny(lucy) [cnf transformation 24]
257. $false [subsumption resolution 130,121... | 0 |
If someone is strong then someone is both not funny and not old.
Everyone who is either wise or generous is creative.
Everyone who is not patient is either not tall or kind and vice versa.
Everyone who is curious is either rich or not wise.
Everyone who is either creative or not brave is calm and vice versa.
If someone... | Susan is quiet. | contradiction | ((?[X]:(strong(X)))=>(?[X]:((~funny(X)&~old(X)))))&
(![X]:((wise(X)<~>generous(X))=>creative(X)))&
(![X]:(~patient(X)<=>(~tall(X)<~>kind(X))))&
(![X]:(curious(X)=>(rich(X)<~>~wise(X))))&
(![X]:((creative(X)<~>~brave(X))<=>calm(X)))&
((?[X]:((quiet(X)<~>~calm(X))))=>(?[X]:((patient(X)|~funny(X)))))&
(((~creative(alice)<... | quiet(susan) | [
"p2",
"p7",
"p9",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3236157527577116607933575
% SZS output start Proof for 3236157527577116607933575
3. ! [X0] : (~patient(X0) <=> (~tall(X0) <~> kind(X0))) [input p2]
8. ! [X0] : ((~rich(X0) | ~creative(X0)) <=> ~quiet(X0)) [input p7]
10. ! [X0] : ((tall(X0) & old(X0)) <=> (creative(X0) <~> ~creative(X0))) ... | 0 |
If someone is either not happy or patient then someone is not quiet and vice versa.
Everyone who is both not old and tall is not generous or calm and vice versa.
If paul is not quiet then someone is brave or tall.
If someone is quiet or humble then someone is not wise or kind.
If someone is not old or kind then john is... | Paul is quiet. | neutral | ((?[X]:((~happy(X)<~>patient(X))))<=>(?[X]:(~quiet(X))))&
(![X]:((~old(X)&tall(X))<=>(~generous(X)|calm(X))))&
((~quiet(paul))=>(?[X]:((brave(X)|tall(X)))))&
((?[X]:((quiet(X)|humble(X))))=>(?[X]:((~wise(X)|kind(X)))))&
((?[X]:((~old(X)|kind(X))))=>((~patient(john)&happy(john))))&
(![X]:(rich(X)=>(~tall(X)|tall(X))))&
... | quiet(paul) | [] | null | 0 |
Everyone who is brave is both not funny and not creative and vice versa.
Everyone who is funny is not happy and vice versa.
If alice is humble then lucy is curious.
If someone is either not kind or not brave then someone is either wise or old and vice versa.
If someone is either not quiet or wise then someone is either... | Susan is brave. | contradiction | (![X]:(brave(X)<=>(~funny(X)&~creative(X))))&
(![X]:(funny(X)<=>~happy(X)))&
((humble(alice))=>(curious(lucy)))&
((?[X]:((~kind(X)<~>~brave(X))))<=>(?[X]:((wise(X)<~>old(X)))))&
((?[X]:((~quiet(X)<~>wise(X))))<=>(?[X]:((~funny(X)<~>~brave(X)))))&
((kind(fred))=>((~patient(fred)<~>happy(fred))))&
(![X]:((~generous(X)&~r... | brave(susan) | [
"p0",
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2237512395436548268478328
% SZS output start Proof for 2237512395436548268478328
1. ! [X0] : (brave(X0) <=> (~creative(X0) & ~funny(X0))) [input p0]
2. ! [X0] : (funny(X0) <=> ~happy(X0)) [input p1]
9. ! [X0] : ((happy(X0) | ~patient(X0)) => (calm(X0) & ~happy(X0))) [input p8]
24. brave(s... | 0 |
Everyone who is both old and kind is either not creative or not brave and vice versa.
Everyone who is both generous and calm is not brave and vice versa.
Everyone who is either not creative or humble is either not creative or wise.
Everyone who is either strong or old is either generous or creative and vice versa.
Ever... | Paul is kind. | contradiction | (![X]:((old(X)&kind(X))<=>(~creative(X)<~>~brave(X))))&
(![X]:((generous(X)&calm(X))<=>~brave(X)))&
(![X]:((~creative(X)<~>humble(X))=>(~creative(X)<~>wise(X))))&
(![X]:((strong(X)<~>old(X))<=>(generous(X)<~>creative(X))))&
(![X]:(~quiet(X)=>~generous(X)))&
((?[X]:(happy(X)))=>(?[X]:(~patient(X))))&
((?[X]:(tall(X)))=>... | kind(paul) | [
"p0",
"p1",
"p4",
"p7",
"p8",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2438833108365734392481654
% SZS output start Proof for 2438833108365734392481654
1. ! [X0] : ((kind(X0) & old(X0)) <=> (~creative(X0) <~> ~brave(X0))) [input p0]
2. ! [X0] : ((calm(X0) & generous(X0)) <=> ~brave(X0)) [input p1]
5. ! [X0] : (~quiet(X0) => ~generous(X0)) [input p4]
8. ! [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 not strong. | 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... | ~strong(john) | [] | null | 0 |
Everyone who is creative is both rich and not patient and vice versa.
Everyone who is both quiet and wise is not quiet.
If john is rich then someone is both not curious and not funny.
If someone is either quiet or not humble then fred is brave or not humble and vice versa.
Everyone who is not humble or wise is not calm... | Paul is creative. | neutral | (![X]:(creative(X)<=>(rich(X)&~patient(X))))&
(![X]:((quiet(X)&wise(X))=>~quiet(X)))&
((rich(john))=>(?[X]:((~curious(X)&~funny(X)))))&
((?[X]:((quiet(X)<~>~humble(X))))<=>((brave(fred)|~humble(fred))))&
(![X]:((~humble(X)|wise(X))<=>~calm(X)))&
(![X]:((~humble(X)<~>~tall(X))=>~old(X)))&
(((tall(alice)|~happy(alice)))=... | creative(paul) | [] | null | 0 |
Everyone who is both not curious and humble is not old. If fred is not old then mary is either tall or not funny and vice versa. Everyone who is patient or generous is not calm and vice versa. Everyone who is either kind or not happy is both tall and curious and vice versa. If someone is both not patient and not strong... | Alice is not humble. | neutral | (![X]:((~curious(X)&humble(X))=>~old(X)))&
((~old(fred))<=>((tall(mary)<~>~funny(mary))))&
(![X]:((patient(X)|generous(X))<=>~calm(X)))&
(![X]:((kind(X)<~>~happy(X))<=>(tall(X)&curious(X))))&
((?[X]:((~patient(X)&~strong(X))))<=>(?[X]:((calm(X)&rich(X)))))&
(![X]:(~humble(X)<=>(~old(X)|rich(X))))&
((?[X]:((old(X)<~>gen... | ~humble(alice) | [] | null | 0 |
If someone is humble or kind then lucy is not quiet.
Everyone who is not rich is either not generous or not strong and vice versa.
If someone is not rich then someone is both not strong and not patient.
If someone is both not calm and curious then paul is either not wise or not tall and vice versa.
If paul is both not ... | John is strong. | entailment | ((?[X]:((humble(X)|kind(X))))=>(~quiet(lucy)))&
(![X]:(~rich(X)<=>(~generous(X)<~>~strong(X))))&
((?[X]:(~rich(X)))=>(?[X]:((~strong(X)&~patient(X)))))&
((?[X]:((~calm(X)&curious(X))))<=>((~wise(paul)<~>~tall(paul))))&
(((~tall(paul)&~generous(paul)))=>(brave(john)))&
((~curious(john))<=>(?[X]:((~generous(X)|generous(X... | strong(john) | [
"p1",
"p2",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3458878230272138398390338
% SZS output start Proof for 3458878230272138398390338
2. ! [X0] : (~rich(X0) <=> (~generous(X0) <~> ~strong(X0))) [input p1]
3. ? [X0] : ~rich(X0) => ? [X0] : (~patient(X0) & ~strong(X0)) [input p2]
7. ! [X0] : ((patient(X0) | ~old(X0)) <=> old(X0)) [input p6]
1... | 0 |
Everyone who is either not happy or funny is tall or calm.
If susan is either strong or curious then someone is not generous.
If susan is not tall then someone is humble and vice versa.
Everyone who is either rich or not patient is not strong or not patient and vice versa.
Everyone who is either calm or creative is not... | Alice is not creative. | entailment | (![X]:((~happy(X)<~>funny(X))=>(tall(X)|calm(X))))&
(((strong(susan)<~>curious(susan)))=>(?[X]:(~generous(X))))&
((~tall(susan))<=>(?[X]:(humble(X))))&
(![X]:((rich(X)<~>~patient(X))<=>(~strong(X)|~patient(X))))&
(![X]:((calm(X)<~>creative(X))<=>(~curious(X)|rich(X))))&
(![X]:((calm(X)<~>~rich(X))<=>~humble(X)))&
((?[X... | ~creative(alice) | [
"p4",
"p5",
"p6",
"p7",
"p10",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7819755887778177640961332
% SZS output start Proof for 7819755887778177640961332
5. ! [X0] : ((calm(X0) <~> creative(X0)) <=> (rich(X0) | ~curious(X0))) [input p4]
6. ! [X0] : ((calm(X0) <~> ~rich(X0)) <=> ~humble(X0)) [input p5]
7. ? [X0] : (~old(X0) | curious(X0)) => ? [X0] : (kind(X0) ... | 0 |
Everyone who is strong is calm.
Everyone who is either funny or generous is both not rich and not generous and vice versa.
If susan is both generous and happy then someone is either not old or patient and vice versa.
Everyone who is not calm or humble is either brave or creative.
Everyone who is both not old and not cu... | Paul is not funny. | contradiction | (![X]:(strong(X)=>calm(X)))&
(![X]:((funny(X)<~>generous(X))<=>(~rich(X)&~generous(X))))&
(((generous(susan)&happy(susan)))<=>(?[X]:((~old(X)<~>patient(X)))))&
(![X]:((~calm(X)|humble(X))=>(brave(X)<~>creative(X))))&
(![X]:((~old(X)&~curious(X))=>(~patient(X)<~>old(X))))&
(![X]:(calm(X)=>~rich(X)))&
((funny(lucy))=>((~... | ~funny(paul) | [
"p0",
"p1",
"p5",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2754272589704733234536543
% SZS output start Proof for 2754272589704733234536543
1. ! [X0] : (strong(X0) => calm(X0)) [input p0]
2. ! [X0] : ((funny(X0) <~> generous(X0)) <=> (~generous(X0) & ~rich(X0))) [input p1]
6. ! [X0] : (calm(X0) => ~rich(X0)) [input p5]
17. tall(paul) [input p16]
... | 0 |
Everyone who is either humble or not strong is patient.
Everyone who is happy is creative or brave and vice versa.
If someone is both not calm and not old then fred is rich or not wise.
If fred is either not happy or not generous then susan is curious or not wise.
Everyone who is not humble is both quiet and not brave.... | Lucy is funny. | contradiction | (![X]:((humble(X)<~>~strong(X))=>patient(X)))&
(![X]:(happy(X)<=>(creative(X)|brave(X))))&
((?[X]:((~calm(X)&~old(X))))=>((rich(fred)|~wise(fred))))&
(((~happy(fred)<~>~generous(fred)))=>((curious(susan)|~wise(susan))))&
(![X]:(~humble(X)=>(quiet(X)&~brave(X))))&
(((old(lucy)&creative(lucy)))=>((old(lucy)&~rich(lucy)))... | funny(lucy) | [
"p1",
"p4",
"p5",
"p6",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2692648681729784052347863
% SZS output start Proof for 2692648681729784052347863
2. ! [X0] : (happy(X0) <=> (brave(X0) | creative(X0))) [input p1]
5. ! [X0] : (~humble(X0) => (~brave(X0) & quiet(X0))) [input p4]
6. (creative(lucy) & old(lucy)) => (~rich(lucy) & old(lucy)) [input p5]
7. ! ... | 0 |
If someone is not humble or not curious then paul is not tall or not rich.
If someone is tall then someone is patient or not strong.
Everyone who is either not creative or not kind is both not strong and not tall.
Everyone who is either not rich or not strong is rich and vice versa.
Everyone who is not generous or pati... | John is not generous. | contradiction | ((?[X]:((~humble(X)|~curious(X))))=>((~tall(paul)|~rich(paul))))&
((?[X]:(tall(X)))=>(?[X]:((patient(X)|~strong(X)))))&
(![X]:((~creative(X)<~>~kind(X))=>(~strong(X)&~tall(X))))&
(![X]:((~rich(X)<~>~strong(X))<=>rich(X)))&
(![X]:((~generous(X)|patient(X))=>(~old(X)&brave(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((tall(X)<~>~q... | ~generous(john) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2038295782898713828671355
% SZS output start Proof for 2038295782898713828671355
5. ! [X0] : ((patient(X0) | ~generous(X0)) => (brave(X0) & ~old(X0))) [input p4]
10. ! [X0] : ((brave(X0) & ~tall(X0)) <=> tall(X0)) [input p9]
23. ~generous(john) [input hypothesis]
33. ! [X0] : ((brave(X0) ... | 0 |
Everyone who is rich is both not generous and not humble and vice versa.
If lucy is tall then someone is either not calm or kind and vice versa.
If mary is both generous and not kind then alice is both not kind and happy and vice versa.
Everyone who is not calm is both not strong and not patient.
Everyone who is both n... | Mary is generous. | neutral | (![X]:(rich(X)<=>(~generous(X)&~humble(X))))&
((tall(lucy))<=>(?[X]:((~calm(X)<~>kind(X)))))&
(((generous(mary)&~kind(mary)))<=>((~kind(alice)&happy(alice))))&
(![X]:(~calm(X)=>(~strong(X)&~patient(X))))&
(![X]:((~generous(X)&wise(X))=>(~funny(X)&humble(X))))&
(![X]:((~funny(X)|calm(X))=>(humble(X)<~>tall(X))))&
((?[X]... | generous(mary) | [] | null | 0 |
Everyone who is both not funny and quiet is both not generous and not funny. If someone is not creative then someone is humble. If someone is kind or quiet then someone is quiet and vice versa. Everyone who is funny is both not wise and generous and vice versa. If mary is not kind then someone is both calm and not quie... | Lucy is tall. | neutral | (![X]:((~funny(X)&quiet(X))=>(~generous(X)&~funny(X))))&
((?[X]:(~creative(X)))=>(?[X]:(humble(X))))&
((?[X]:((kind(X)|quiet(X))))<=>(?[X]:(quiet(X))))&
(![X]:(funny(X)<=>(~wise(X)&generous(X))))&
((~kind(mary))<=>(?[X]:((calm(X)&~quiet(X)))))&
((?[X]:((creative(X)<~>~creative(X))))=>((~humble(mary)&curious(mary))))&
(... | tall(lucy) | [] | null | 0 |
If lucy is not kind or not old then someone is both not quiet and kind and vice versa. Everyone who is wise is not generous or not quiet. If someone is either not creative or not quiet then fred is either funny or quiet. If someone is quiet or not kind then paul is not rich or not creative and vice versa. If susan is n... | Mary is not humble. | contradiction | (((~kind(lucy)|~old(lucy)))<=>(?[X]:((~quiet(X)&kind(X)))))&
(![X]:(wise(X)=>(~generous(X)|~quiet(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>((funny(fred)<~>quiet(fred))))&
((?[X]:((quiet(X)|~kind(X))))<=>((~rich(paul)|~creative(paul))))&
(((~funny(susan)|brave(susan)))<=>(?[X]:((tall(X)|quiet(X)))))&
(((funny(john)<... | ~humble(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4680746882904438892279185
% SZS output start Proof for 4680746882904438892279185
9. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> ~old(X0)) [input p8]
22. ~humble(mary) [input hypothesis]
62. ! [X0] : ((((humble(X0) | old(X0)) & (~humble(X0) | ~old(X0))) | old(X0)) & (~old(X0) | ((~old(X0) | h... | 0 |
If someone is both calm and not humble then someone is both not strong and happy and vice versa.
If fred is not generous or not happy then paul is not humble and vice versa.
If mary is generous then someone is either tall or not quiet and vice versa.
Everyone who is either not strong or old is both strong and tall and ... | Lucy is strong. | contradiction | ((?[X]:((calm(X)&~humble(X))))<=>(?[X]:((~strong(X)&happy(X)))))&
(((~generous(fred)|~happy(fred)))<=>(~humble(paul)))&
((generous(mary))<=>(?[X]:((tall(X)<~>~quiet(X)))))&
(![X]:((~strong(X)<~>old(X))<=>(strong(X)&tall(X))))&
(![X]:((~quiet(X)|happy(X))=>(~curious(X)|rich(X))))&
(![X]:((~kind(X)|~calm(X))=>~curious(X)... | strong(lucy) | [
"p3",
"p7",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8854904222071425403155211
% SZS output start Proof for 8854904222071425403155211
4. ! [X0] : ((~strong(X0) <~> old(X0)) <=> (tall(X0) & strong(X0))) [input p3]
8. ! [X0] : (wise(X0) <=> (~brave(X0) <~> tall(X0))) [input p7]
16. ! [X0] : (~brave(X0) <=> (kind(X0) | ~kind(X0))) [input p15]
... | 0 |
Everyone who is both not patient and old is either not rich or not kind and vice versa.
If someone is either not calm or kind then susan is both calm and funny.
Everyone who is both not calm and not brave is calm and vice versa.
Everyone who is brave or not curious is both wise and curious and vice versa.
Everyone who ... | Lucy is patient. | entailment | (![X]:((~patient(X)&old(X))<=>(~rich(X)<~>~kind(X))))&
((?[X]:((~calm(X)<~>kind(X))))=>((calm(susan)&funny(susan))))&
(![X]:((~calm(X)&~brave(X))<=>calm(X)))&
(![X]:((brave(X)|~curious(X))<=>(wise(X)&curious(X))))&
(![X]:((generous(X)|~strong(X))<=>~happy(X)))&
((?[X]:((old(X)|~brave(X))))<=>(?[X]:(~kind(X))))&
(((~old... | patient(lucy) | [
"p2",
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2341721204115977441740959
% SZS output start Proof for 2341721204115977441740959
3. ! [X0] : ((~brave(X0) & ~calm(X0)) <=> calm(X0)) [input p2]
4. ! [X0] : ((~curious(X0) | brave(X0)) <=> (curious(X0) & wise(X0))) [input p3]
10. ! [X0] : ((~calm(X0) | ~humble(X0)) <=> (patient(X0) | ~wise... | 0 |
Everyone who is not old or not quiet is not kind and vice versa. If someone is not humble then someone is both calm and not quiet and vice versa. If someone is either not humble or not funny then someone is both patient and generous. Everyone who is brave or patient is rich and vice versa. If paul is strong then paul i... | Fred is patient. | entailment | (![X]:((~old(X)|~quiet(X))<=>~kind(X)))&
((?[X]:(~humble(X)))<=>(?[X]:((calm(X)&~quiet(X)))))&
((?[X]:((~humble(X)<~>~funny(X))))=>(?[X]:((patient(X)&generous(X)))))&
(![X]:((brave(X)|patient(X))<=>rich(X)))&
((strong(paul))<=>((~strong(paul)|tall(paul))))&
(![X]:((wise(X)<~>quiet(X))<=>(~generous(X)&wise(X))))&
(![X]:... | patient(fred) | [
"p0",
"p9",
"p15",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7906986951352467615508653
% SZS output start Proof for 7906986951352467615508653
1. ! [X0] : ((~quiet(X0) | ~old(X0)) <=> ~kind(X0)) [input p0]
10. ! [X0] : ((~patient(X0) | quiet(X0)) => (~creative(X0) & curious(X0))) [input p9]
16. ! [X0] : ((~brave(X0) <~> quiet(X0)) <=> creative(X0)) ... | 0 |
Everyone who is both humble and not generous is either old or funny and vice versa.
If someone is not curious or strong then john is quiet or not humble.
Everyone who is both patient and generous is not kind or not wise and vice versa.
If someone is either kind or old then john is either brave or calm and vice versa.
E... | John is kind. | entailment | (![X]:((humble(X)&~generous(X))<=>(old(X)<~>funny(X))))&
((?[X]:((~curious(X)|strong(X))))=>((quiet(john)|~humble(john))))&
(![X]:((patient(X)&generous(X))<=>(~kind(X)|~wise(X))))&
((?[X]:((kind(X)<~>old(X))))<=>((brave(john)<~>calm(john))))&
(![X]:(~humble(X)=>humble(X)))&
(((curious(lucy)&tall(lucy)))<=>(?[X]:((stron... | kind(john) | [
"p0",
"p2",
"p3",
"p6",
"p7",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4841638078800862560529016
% SZS output start Proof for 4841638078800862560529016
1. ! [X0] : ((~generous(X0) & humble(X0)) <=> (old(X0) <~> funny(X0))) [input p0]
3. ! [X0] : ((generous(X0) & patient(X0)) <=> (~wise(X0) | ~kind(X0))) [input p2]
4. ? [X0] : (kind(X0) <~> old(X0)) <=> (brav... | 0 |
If fred is both not old and humble then mary is either happy or not patient and vice versa.
If someone is not quiet or strong then someone is old or not generous and vice versa.
If someone is both not humble and not quiet then someone is brave or patient.
If someone is not brave then someone is either humble or rich.
I... | Mary is not brave. | contradiction | (((~old(fred)&humble(fred)))<=>((happy(mary)<~>~patient(mary))))&
((?[X]:((~quiet(X)|strong(X))))<=>(?[X]:((old(X)|~generous(X)))))&
((?[X]:((~humble(X)&~quiet(X))))=>(?[X]:((brave(X)|patient(X)))))&
((?[X]:(~brave(X)))=>(?[X]:((humble(X)<~>rich(X)))))&
(((~creative(susan)<~>~old(susan)))<=>(?[X]:((rich(X)&~patient(X))... | ~brave(mary) | [
"p3",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2043927019298991501698189
% SZS output start Proof for 2043927019298991501698189
4. ? [X0] : ~brave(X0) => ? [X0] : (humble(X0) <~> rich(X0)) [input p3]
6. ! [X0] : ((~happy(X0) | humble(X0)) <=> (old(X0) | happy(X0))) [input p5]
7. ! [X0] : (old(X0) <=> (creative(X0) & ~rich(X0))) [input... | 0 |
Everyone who is funny or not generous is not happy. If fred is either not funny or funny then alice is either happy or not creative and vice versa. If someone is kind then fred is either brave or not funny. If paul is both not curious and not strong then lucy is wise. Everyone who is both funny and not humble is not st... | Lucy is not calm. | entailment | (![X]:((funny(X)|~generous(X))=>~happy(X)))&
(((~funny(fred)<~>funny(fred)))<=>((happy(alice)<~>~creative(alice))))&
((?[X]:(kind(X)))=>((brave(fred)<~>~funny(fred))))&
(((~curious(paul)&~strong(paul)))=>(wise(lucy)))&
(![X]:((funny(X)&~humble(X))<=>(~strong(X)|strong(X))))&
(((~wise(susan)|~quiet(susan)))<=>(?[X]:((~c... | ~calm(lucy) | [
"p4",
"p9",
"p11",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1606197376674980406853463
% SZS output start Proof for 1606197376674980406853463
5. ! [X0] : ((~humble(X0) & funny(X0)) <=> (strong(X0) | ~strong(X0))) [input p4]
10. ! [X0] : ((wise(X0) | happy(X0)) <=> (quiet(X0) & creative(X0))) [input p9]
12. ! [X0] : (creative(X0) => brave(X0)) [inpu... | 0 |
If someone is creative or not creative then someone is not humble and vice versa. Everyone who is both not tall and wise is not old or not kind and vice versa. Everyone who is either generous or funny is humble or not curious. Everyone who is not curious or creative is patient or not generous and vice versa. If susan i... | Alice is not strong. | entailment | ((?[X]:((creative(X)|~creative(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~tall(X)&wise(X))<=>(~old(X)|~kind(X))))&
(![X]:((generous(X)<~>funny(X))=>(humble(X)|~curious(X))))&
(![X]:((~curious(X)|creative(X))<=>(patient(X)|~generous(X))))&
((~tall(susan))=>((happy(paul)&~funny(paul))))&
((?[X]:(generous(X)))<=>(creative(ali... | ~strong(alice) | [
"p1",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2406903109936121746305956
% SZS output start Proof for 2406903109936121746305956
2. ! [X0] : ((wise(X0) & ~tall(X0)) <=> (~kind(X0) | ~old(X0))) [input p1]
9. ! [X0] : (kind(X0) => (~strong(X0) & rich(X0))) [input p8]
17. tall(alice) <~> ~strong(alice) [input p16]
25. strong(alice) [input... | 0 |
If someone is either rich or not generous then lucy is either not calm or kind and vice versa.
Everyone who is not curious or brave is either not old or not happy and vice versa.
If someone is either brave or creative then someone is not brave and vice versa.
Everyone who is curious is funny.
If lucy is funny then fred... | Lucy is not generous. | neutral | ((?[X]:((rich(X)<~>~generous(X))))<=>((~calm(lucy)<~>kind(lucy))))&
(![X]:((~curious(X)|brave(X))<=>(~old(X)<~>~happy(X))))&
((?[X]:((brave(X)<~>creative(X))))<=>(?[X]:(~brave(X))))&
(![X]:(curious(X)=>funny(X)))&
((funny(lucy))<=>(~quiet(fred)))&
(![X]:(calm(X)<=>(funny(X)<~>~rich(X))))&
((~kind(john))=>(?[X]:((quiet(... | ~generous(lucy) | [] | null | 0 |
Everyone who is kind or creative is humble.
Everyone who is wise is rich or not curious.
Everyone who is not humble or humble is both not humble and not creative.
Everyone who is not funny is not old or not rich and vice versa.
If someone is both rich and tall then paul is either old or patient.
If susan is either brav... | Mary is quiet. | entailment | (![X]:((kind(X)|creative(X))=>humble(X)))&
(![X]:(wise(X)=>(rich(X)|~curious(X))))&
(![X]:((~humble(X)|humble(X))=>(~humble(X)&~creative(X))))&
(![X]:(~funny(X)<=>(~old(X)|~rich(X))))&
((?[X]:((rich(X)&tall(X))))=>((old(paul)<~>patient(paul))))&
(((brave(susan)<~>~funny(susan)))<=>(?[X]:((curious(X)<~>~strong(X)))))&
(... | quiet(mary) | [
"p0",
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8733298736160218187472315
% SZS output start Proof for 8733298736160218187472315
1. ! [X0] : ((creative(X0) | kind(X0)) => humble(X0)) [input p0]
3. ! [X0] : ((humble(X0) | ~humble(X0)) => (~creative(X0) & ~humble(X0))) [input p2]
17. quiet(mary) | creative(mary) [input p16]
24. ~quiet(ma... | 0 |
If john is either humble or strong then someone is not quiet. Everyone who is not generous is either not wise or creative. If john is not generous then someone is either wise or not brave and vice versa. If lucy is either kind or not creative then someone is either brave or kind. Everyone who is kind is brave and vice ... | John is strong. | entailment | (((humble(john)<~>strong(john)))=>(?[X]:(~quiet(X))))&
(![X]:(~generous(X)=>(~wise(X)<~>creative(X))))&
((~generous(john))<=>(?[X]:((wise(X)<~>~brave(X)))))&
(((kind(lucy)<~>~creative(lucy)))=>(?[X]:((brave(X)<~>kind(X)))))&
(![X]:(kind(X)<=>brave(X)))&
(![X]:((~happy(X)&calm(X))<=>(~calm(X)|~happy(X))))&
(![X]:(~patie... | strong(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6780462608812893714517821
% SZS output start Proof for 6780462608812893714517821
8. ! [X0] : (rich(X0) <=> (rich(X0) <~> ~strong(X0))) [input p7]
24. ~strong(john) [input hypothesis]
46. ! [X0] : ((rich(X0) | ((rich(X0) | strong(X0)) & (~strong(X0) | ~rich(X0)))) & (((strong(X0) | ~rich(X... | 0 |
Everyone who is either not creative or not humble is curious and vice versa.
If mary is curious or funny then someone is both kind and not strong.
Everyone who is not generous or quiet is either humble or not happy and vice versa.
Everyone who is both humble and not wise is not strong and vice versa.
Everyone who is no... | Alice is not rich. | contradiction | (![X]:((~creative(X)<~>~humble(X))<=>curious(X)))&
(((curious(mary)|funny(mary)))=>(?[X]:((kind(X)&~strong(X)))))&
(![X]:((~generous(X)|quiet(X))<=>(humble(X)<~>~happy(X))))&
(![X]:((humble(X)&~wise(X))<=>~strong(X)))&
(![X]:(~tall(X)<=>(tall(X)<~>strong(X))))&
(![X]:(humble(X)<=>(old(X)&~creative(X))))&
(![X]:((~patie... | ~rich(alice) | [
"p0",
"p2",
"p5",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8716515216488609834395260
% SZS output start Proof for 8716515216488609834395260
1. ! [X0] : ((~creative(X0) <~> ~humble(X0)) <=> curious(X0)) [input p0]
3. ! [X0] : ((quiet(X0) | ~generous(X0)) <=> (humble(X0) <~> ~happy(X0))) [input p2]
6. ! [X0] : (humble(X0) <=> (~creative(X0) & old(X... | 0 |
Everyone who is either calm or funny is both not kind and not quiet and vice versa. Everyone who is both not funny and not curious is either happy or old. If someone is not strong or tall then someone is either brave or not old and vice versa. Everyone who is not calm or not patient is happy or brave and vice versa. Ev... | Mary is strong. | neutral | (![X]:((calm(X)<~>funny(X))<=>(~kind(X)&~quiet(X))))&
(![X]:((~funny(X)&~curious(X))=>(happy(X)<~>old(X))))&
((?[X]:((~strong(X)|tall(X))))<=>(?[X]:((brave(X)<~>~old(X)))))&
(![X]:((~calm(X)|~patient(X))<=>(happy(X)|brave(X))))&
(![X]:(wise(X)=>strong(X)))&
(((~creative(mary)<~>funny(mary)))=>((tall(alice)<~>~happy(ali... | strong(mary) | [] | null | 0 |
Everyone who is funny is either not creative or quiet.
If paul is both curious and calm then mary is not wise and vice versa.
Everyone who is humble or generous is both patient and not old and vice versa.
If susan is wise or not rich then fred is wise and vice versa.
If alice is either not wise or not tall then john is... | Lucy is not humble. | entailment | (![X]:(funny(X)=>(~creative(X)<~>quiet(X))))&
(((curious(paul)&calm(paul)))<=>(~wise(mary)))&
(![X]:((humble(X)|generous(X))<=>(patient(X)&~old(X))))&
(((wise(susan)|~rich(susan)))<=>(wise(fred)))&
(((~wise(alice)<~>~tall(alice)))<=>((~old(john)<~>~creative(john))))&
(![X]:((quiet(X)&~rich(X))<=>generous(X)))&
(![X]:((... | ~humble(lucy) | [
"p2",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 9086660517722967094671573
% SZS output start Proof for 9086660517722967094671573
3. ! [X0] : ((generous(X0) | humble(X0)) <=> (~old(X0) & patient(X0))) [input p2]
24. tall(lucy) & ~patient(lucy) [input p23]
25. humble(lucy) [input hypothesis]
42. ! [X0] : (((generous(X0) | humble(X0)) | (... | 0 |
If mary is curious then someone is not creative or wise. Everyone who is not kind is brave. Everyone who is brave is either kind or not curious and vice versa. If paul is not creative then someone is both not patient and calm and vice versa. Everyone who is both quiet and funny is curious or calm and vice versa. Everyo... | Alice is kind. | neutral | ((curious(mary))=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:(~kind(X)=>brave(X)))&
(![X]:(brave(X)<=>(kind(X)<~>~curious(X))))&
((~creative(paul))<=>(?[X]:((~patient(X)&calm(X)))))&
(![X]:((quiet(X)&funny(X))<=>(curious(X)|calm(X))))&
(![X]:((~funny(X)|calm(X))<=>~quiet(X)))&
(![X]:(old(X)=>humble(X)))&
(![X]:(funny(X)<=... | kind(alice) | [] | null | 0 |
If paul is either not patient or humble then fred is kind or humble and vice versa. If alice is not strong or not curious then lucy is either wise or not rich. If someone is either generous or not generous then lucy is not happy. Everyone who is both funny and wise is strong or not rich and vice versa. Everyone who is ... | Mary is not funny. | contradiction | (((~patient(paul)<~>humble(paul)))<=>((kind(fred)|humble(fred))))&
(((~strong(alice)|~curious(alice)))=>((wise(lucy)<~>~rich(lucy))))&
((?[X]:((generous(X)<~>~generous(X))))=>(~happy(lucy)))&
(![X]:((funny(X)&wise(X))<=>(strong(X)|~rich(X))))&
(![X]:(brave(X)<=>(creative(X)<~>~rich(X))))&
(![X]:((~rich(X)<~>funny(X))<=... | ~funny(mary) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5400721005000070464187174
% SZS output start Proof for 5400721005000070464187174
4. ! [X0] : ((wise(X0) & funny(X0)) <=> (~rich(X0) | strong(X0))) [input p3]
6. ! [X0] : ((~rich(X0) <~> funny(X0)) <=> (creative(X0) | ~strong(X0))) [input p5]
23. ~funny(mary) [input hypothesis]
37. ! [X0] ... | 0 |
Everyone who is either not patient or not quiet is both not patient and kind.
Everyone who is not wise or not calm is either calm or humble and vice versa.
Everyone who is not tall or not calm is either quiet or not creative.
Everyone who is not calm or calm is not creative or curious.
Everyone who is not quiet or rich... | John is calm. | entailment | (![X]:((~patient(X)<~>~quiet(X))=>(~patient(X)&kind(X))))&
(![X]:((~wise(X)|~calm(X))<=>(calm(X)<~>humble(X))))&
(![X]:((~tall(X)|~calm(X))=>(quiet(X)<~>~creative(X))))&
(![X]:((~calm(X)|calm(X))=>(~creative(X)|curious(X))))&
(![X]:((~quiet(X)|rich(X))=>(patient(X)&kind(X))))&
(![X]:((strong(X)|funny(X))<=>generous(X))... | calm(john) | [
"p0",
"p2",
"p4",
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1784898662740615840327756
% SZS output start Proof for 1784898662740615840327756
1. ! [X0] : ((~patient(X0) <~> ~quiet(X0)) => (kind(X0) & ~patient(X0))) [input p0]
3. ! [X0] : ((~calm(X0) | ~tall(X0)) => (quiet(X0) <~> ~creative(X0))) [input p2]
5. ! [X0] : ((rich(X0) | ~quiet(X0)) => (k... | 0 |
If someone is either not quiet or not generous then lucy is both brave and not old and vice versa.
If paul is both wise and not rich then someone is wise and vice versa.
Everyone who is both creative and wise is not quiet.
If susan is humble or not generous then susan is either not kind or patient and vice versa.
Every... | Alice is not creative. | contradiction | ((?[X]:((~quiet(X)<~>~generous(X))))<=>((brave(lucy)&~old(lucy))))&
(((wise(paul)&~rich(paul)))<=>(?[X]:(wise(X))))&
(![X]:((creative(X)&wise(X))=>~quiet(X)))&
(((humble(susan)|~generous(susan)))<=>((~kind(susan)<~>patient(susan))))&
(![X]:((~quiet(X)&~funny(X))<=>(~funny(X)|~tall(X))))&
((?[X]:((funny(X)|~brave(X))))=... | ~creative(alice) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4835050788955519452620000
% SZS output start Proof for 4835050788955519452620000
7. ! [X0] : ((~creative(X0) | strong(X0)) <=> (~curious(X0) & quiet(X0))) [input p6]
15. ! [X0] : (creative(X0) <=> (quiet(X0) | ~happy(X0))) [input p14]
24. ~creative(alice) [input hypothesis]
52. ! [X0] : (... | 0 |
Everyone who is both not patient and tall is not old or not humble and vice versa.
Everyone who is both funny and not generous is both not brave and not old.
If someone is both not tall and old then mary is not happy and vice versa.
Everyone who is not humble is not old or calm and vice versa.
If paul is humble or not ... | Alice is not strong. | entailment | (![X]:((~patient(X)&tall(X))<=>(~old(X)|~humble(X))))&
(![X]:((funny(X)&~generous(X))=>(~brave(X)&~old(X))))&
((?[X]:((~tall(X)&old(X))))<=>(~happy(mary)))&
(![X]:(~humble(X)<=>(~old(X)|calm(X))))&
(((humble(paul)|~kind(paul)))=>(~patient(susan)))&
(![X]:((~brave(X)&strong(X))<=>~humble(X)))&
(![X]:(funny(X)<=>(quiet(X... | ~strong(alice) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6475298764126103325533254
% SZS output start Proof for 6475298764126103325533254
1. ! [X0] : ((tall(X0) & ~patient(X0)) <=> (~humble(X0) | ~old(X0))) [input p0]
2. ! [X0] : ((~generous(X0) & funny(X0)) => (~old(X0) & ~brave(X0))) [input p1]
4. ! [X0] : (~humble(X0) <=> (calm(X0) | ~old(X0... | 0 |
Everyone who is not quiet or patient is either humble or funny.
If fred is old then alice is old.
Everyone who is both rich and strong is patient or brave and vice versa.
Everyone who is not kind or not strong is not creative and vice versa.
Everyone who is either rich or old is both strong and not generous.
Everyone w... | Alice is not strong. | contradiction | (![X]:((~quiet(X)|patient(X))=>(humble(X)<~>funny(X))))&
((old(fred))=>(old(alice)))&
(![X]:((rich(X)&strong(X))<=>(patient(X)|brave(X))))&
(![X]:((~kind(X)|~strong(X))<=>~creative(X)))&
(![X]:((rich(X)<~>old(X))=>(strong(X)&~generous(X))))&
(![X]:((~creative(X)<~>kind(X))<=>(~funny(X)&~brave(X))))&
(![X]:(~patient(X)<... | ~strong(alice) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 160348858360752407111712
% SZS output start Proof for 160348858360752407111712
3. ! [X0] : ((strong(X0) & rich(X0)) <=> (brave(X0) | patient(X0))) [input p2]
7. ! [X0] : (~patient(X0) <=> (~patient(X0) & patient(X0))) [input p6]
19. ~strong(alice) [input hypothesis]
37. ! [X0] : (((strong... | 0 |
Everyone who is not kind is not patient or funny and vice versa.
If someone is not funny or not rich then someone is not rich and vice versa.
Everyone who is not strong or not quiet is either not funny or not calm and vice versa.
Everyone who is not strong is both creative and not creative and vice versa.
Everyone who ... | Susan is kind. | contradiction | (![X]:(~kind(X)<=>(~patient(X)|funny(X))))&
((?[X]:((~funny(X)|~rich(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~strong(X)|~quiet(X))<=>(~funny(X)<~>~calm(X))))&
(![X]:(~strong(X)<=>(creative(X)&~creative(X))))&
(![X]:((curious(X)<~>~curious(X))<=>(~patient(X)&~old(X))))&
(![X]:(~rich(X)<=>(strong(X)|generous(X))))&
(![X]:(~t... | kind(susan) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7292868566889938463880974
% SZS output start Proof for 7292868566889938463880974
1. ! [X0] : (~kind(X0) <=> (funny(X0) | ~patient(X0))) [input p0]
5. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (~old(X0) & ~patient(X0))) [input p4]
22. kind(susan) [input hypothesis]
36. ! [X0] : ((~kind(... | 0 |
Everyone who is both not wise and wise is both not old and brave and vice versa.
If someone is not wise then lucy is either wise or not kind and vice versa.
Everyone who is generous is not patient.
If someone is both humble and tall then mary is either not quiet or wise.
If paul is both not curious and not patient then... | Mary is old. | entailment | (![X]:((~wise(X)&wise(X))<=>(~old(X)&brave(X))))&
((?[X]:(~wise(X)))<=>((wise(lucy)<~>~kind(lucy))))&
(![X]:(generous(X)=>~patient(X)))&
((?[X]:((humble(X)&tall(X))))=>((~quiet(mary)<~>wise(mary))))&
(((~curious(paul)&~patient(paul)))<=>((old(lucy)|~humble(lucy))))&
(![X]:((~humble(X)&humble(X))<=>(strong(X)<~>~quiet(X... | old(mary) | [
"p5",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4427556736147568059475737
% SZS output start Proof for 4427556736147568059475737
6. ! [X0] : ((humble(X0) & ~humble(X0)) <=> (strong(X0) <~> ~quiet(X0))) [input p5]
8. ! [X0] : ((happy(X0) | ~old(X0)) <=> (~quiet(X0) & generous(X0))) [input p7]
14. ! [X0] : ((~wise(X0) | strong(X0)) <=> (... | 0 |
Everyone who is both not generous and creative is either not patient or not generous and vice versa.
If mary is either patient or kind then paul is both not wise and creative.
If john is kind then someone is not generous.
If susan is funny then someone is tall or not patient.
Everyone who is not generous is not kind.
I... | Paul is patient. | entailment | (![X]:((~generous(X)&creative(X))<=>(~patient(X)<~>~generous(X))))&
(((patient(mary)<~>kind(mary)))=>((~wise(paul)&creative(paul))))&
((kind(john))=>(?[X]:(~generous(X))))&
((funny(susan))=>(?[X]:((tall(X)|~patient(X)))))&
(![X]:(~generous(X)=>~kind(X)))&
((?[X]:(~humble(X)))<=>((~rich(paul)&quiet(paul))))&
(((humble(a... | patient(paul) | [
"p0",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 728956075786569918991068
% SZS output start Proof for 728956075786569918991068
1. ! [X0] : ((creative(X0) & ~generous(X0)) <=> (~patient(X0) <~> ~generous(X0))) [input p0]
9. (generous(paul) & rich(paul)) <=> ? [X0] : (~humble(X0) <~> ~tall(X0)) [input p8]
13. ! [X0] : (tall(X0) <=> ~humb... | 0 |
If john is strong or tall then susan is not patient or not generous. Everyone who is not patient is old or not calm. If someone is brave then someone is both kind and not rich and vice versa. Everyone who is funny or not old is both kind and not calm and vice versa. Everyone who is generous or not brave is not patient ... | Lucy is calm. | neutral | (((strong(john)|tall(john)))=>((~patient(susan)|~generous(susan))))&
(![X]:(~patient(X)=>(old(X)|~calm(X))))&
((?[X]:(brave(X)))<=>(?[X]:((kind(X)&~rich(X)))))&
(![X]:((funny(X)|~old(X))<=>(kind(X)&~calm(X))))&
(![X]:((generous(X)|~brave(X))<=>~patient(X)))&
(![X]:(rich(X)=>(~kind(X)<~>brave(X))))&
((?[X]:((~patient(X)... | calm(lucy) | [] | null | 0 |
Everyone who is not calm is not wise or not rich and vice versa.
If paul is both generous and not generous then someone is not curious or not rich and vice versa.
Everyone who is brave is both not rich and strong.
Everyone who is calm or not quiet is both creative and not calm and vice versa.
If someone is not generous... | Mary is kind. | entailment | (![X]:(~calm(X)<=>(~wise(X)|~rich(X))))&
(((generous(paul)&~generous(paul)))<=>(?[X]:((~curious(X)|~rich(X)))))&
(![X]:(brave(X)=>(~rich(X)&strong(X))))&
(![X]:((calm(X)|~quiet(X))<=>(creative(X)&~calm(X))))&
((?[X]:((~generous(X)|~rich(X))))=>(?[X]:((~tall(X)<~>calm(X)))))&
(![X]:((~creative(X)|patient(X))=>~patient(X... | kind(mary) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3170373192018327667300184
% SZS output start Proof for 3170373192018327667300184
2. (~generous(paul) & generous(paul)) <=> ? [X0] : (~rich(X0) | ~curious(X0)) [input p1]
10. ! [X0] : (~kind(X0) => (curious(X0) & ~rich(X0))) [input p9]
24. ~kind(mary) [input hypothesis]
34. ! [X0] : ((curi... | 0 |
Everyone who is rich is wise or not kind and vice versa.
Everyone who is both not patient and humble is not patient or old.
Everyone who is either calm or humble is either creative or rich.
If someone is old or creative then someone is both old and wise.
Everyone who is not happy or not quiet is happy and vice versa.
I... | Paul is not wise. | contradiction | (![X]:(rich(X)<=>(wise(X)|~kind(X))))&
(![X]:((~patient(X)&humble(X))=>(~patient(X)|old(X))))&
(![X]:((calm(X)<~>humble(X))=>(creative(X)<~>rich(X))))&
((?[X]:((old(X)|creative(X))))=>(?[X]:((old(X)&wise(X)))))&
(![X]:((~happy(X)|~quiet(X))<=>happy(X)))&
((?[X]:((~humble(X)<~>patient(X))))=>(?[X]:((~old(X)|kind(X)))))&... | ~wise(paul) | [
"p0",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2849421493332086359895679
% SZS output start Proof for 2849421493332086359895679
1. ! [X0] : (rich(X0) <=> (~kind(X0) | wise(X0))) [input p0]
9. ! [X0] : ((tall(X0) | kind(X0)) <=> (rich(X0) <~> ~kind(X0))) [input p8]
12. ! [X0] : ((curious(X0) | ~kind(X0)) => (~rich(X0) & strong(X0))) [i... | 0 |
Everyone who is old is not rich and vice versa. If someone is tall or kind then someone is calm and vice versa. If lucy is rich or not rich then someone is not old or not patient and vice versa. Everyone who is both patient and calm is generous and vice versa. Everyone who is both not generous and not curious is quiet ... | Mary is not quiet. | neutral | (![X]:(old(X)<=>~rich(X)))&
((?[X]:((tall(X)|kind(X))))<=>(?[X]:(calm(X))))&
(((rich(lucy)|~rich(lucy)))<=>(?[X]:((~old(X)|~patient(X)))))&
(![X]:((patient(X)&calm(X))<=>generous(X)))&
(![X]:((~generous(X)&~curious(X))<=>quiet(X)))&
((~funny(lucy))<=>(?[X]:((strong(X)|~brave(X)))))&
(![X]:((strong(X)<~>~strong(X))=>(~c... | ~quiet(mary) | [] | null | 0 |
Everyone who is either not curious or tall is either not strong or not calm and vice versa.
If someone is both patient and brave then someone is both not calm and not old.
Everyone who is either creative or tall is creative or not calm and vice versa.
Everyone who is calm is not brave or not patient and vice versa.
If ... | Fred is not funny. | contradiction | (![X]:((~curious(X)<~>tall(X))<=>(~strong(X)<~>~calm(X))))&
((?[X]:((patient(X)&brave(X))))=>(?[X]:((~calm(X)&~old(X)))))&
(![X]:((creative(X)<~>tall(X))<=>(creative(X)|~calm(X))))&
(![X]:(calm(X)<=>(~brave(X)|~patient(X))))&
((patient(john))=>((~curious(john)&quiet(john))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((~w... | ~funny(fred) | [
"p2",
"p3",
"p5",
"p7",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 963919017391524231113404
% SZS output start Proof for 963919017391524231113404
3. ! [X0] : ((creative(X0) <~> tall(X0)) <=> (~calm(X0) | creative(X0))) [input p2]
4. ! [X0] : (calm(X0) <=> (~patient(X0) | ~brave(X0))) [input p3]
6. ! [X0] : (~curious(X0) <=> funny(X0)) [input p5]
8. ! [X0... | 0 |
If someone is not calm then someone is quiet. Everyone who is not rich is either funny or rich and vice versa. Everyone who is both old and not funny is either calm or not strong. If someone is kind then someone is both generous and not old and vice versa. Everyone who is either old or rich is either happy or funny. Ev... | Mary is curious. | neutral | ((?[X]:(~calm(X)))=>(?[X]:(quiet(X))))&
(![X]:(~rich(X)<=>(funny(X)<~>rich(X))))&
(![X]:((old(X)&~funny(X))=>(calm(X)<~>~strong(X))))&
((?[X]:(kind(X)))<=>(?[X]:((generous(X)&~old(X)))))&
(![X]:((old(X)<~>rich(X))=>(happy(X)<~>funny(X))))&
(![X]:((~generous(X)<~>tall(X))=>funny(X)))&
(![X]:(~old(X)<=>(brave(X)&happy(X)... | curious(mary) | [] | null | 0 |
If someone is quiet or not patient then john is rich and vice versa.
Everyone who is not patient or not rich is funny or quiet and vice versa.
If someone is funny then someone is either quiet or not tall.
Everyone who is not quiet or not brave is not kind or funny.
If someone is both not happy and quiet then fred is ta... | Susan is happy. | entailment | ((?[X]:((quiet(X)|~patient(X))))<=>(rich(john)))&
(![X]:((~patient(X)|~rich(X))<=>(funny(X)|quiet(X))))&
((?[X]:(funny(X)))=>(?[X]:((quiet(X)<~>~tall(X)))))&
(![X]:((~quiet(X)|~brave(X))=>(~kind(X)|funny(X))))&
((?[X]:((~happy(X)&quiet(X))))=>((tall(fred)|brave(fred))))&
(![X]:((~wise(X)|patient(X))=>~tall(X)))&
(![X]:... | happy(susan) | [
"p5",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 298804755253474186552724
% SZS output start Proof for 298804755253474186552724
6. ! [X0] : ((patient(X0) | ~wise(X0)) => ~tall(X0)) [input p5]
7. ! [X0] : ((funny(X0) | ~tall(X0)) <=> calm(X0)) [input p6]
10. ! [X0] : ((rich(X0) <~> ~rich(X0)) <=> (patient(X0) | funny(X0))) [input p9]
12.... | 0 |
If someone is either generous or not calm then paul is both not creative and not brave.
Everyone who is both not quiet and rich is brave or not brave and vice versa.
Everyone who is not wise or patient is old or not humble and vice versa.
Everyone who is either not happy or not generous is old.
If mary is either not ha... | Paul is calm. | neutral | ((?[X]:((generous(X)<~>~calm(X))))=>((~creative(paul)&~brave(paul))))&
(![X]:((~quiet(X)&rich(X))<=>(brave(X)|~brave(X))))&
(![X]:((~wise(X)|patient(X))<=>(old(X)|~humble(X))))&
(![X]:((~happy(X)<~>~generous(X))=>old(X)))&
(((~happy(mary)<~>~calm(mary)))=>(~tall(susan)))&
(![X]:((curious(X)|~curious(X))=>generous(X)))&... | calm(paul) | [] | null | 0 |
If mary is brave then lucy is rich. If someone is either not funny or wise then someone is not brave and vice versa. Everyone who is not old is not wise or strong. Everyone who is generous is not creative or strong and vice versa. If susan is both not patient and not creative then someone is either not strong or creati... | John is brave. | contradiction | ((brave(mary))=>(rich(lucy)))&
((?[X]:((~funny(X)<~>wise(X))))<=>(?[X]:(~brave(X))))&
(![X]:(~old(X)=>(~wise(X)|strong(X))))&
(![X]:(generous(X)<=>(~creative(X)|strong(X))))&
(((~patient(susan)&~creative(susan)))<=>(?[X]:((~strong(X)<~>creative(X)))))&
(![X]:((funny(X)&rich(X))<=>(~creative(X)<~>curious(X))))&
(![X]:((... | brave(john) | [
"p2",
"p3",
"p6",
"p7",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 818946639280153652132732
% SZS output start Proof for 818946639280153652132732
3. ! [X0] : (~old(X0) => (strong(X0) | ~wise(X0))) [input p2]
4. ! [X0] : (generous(X0) <=> (strong(X0) | ~creative(X0))) [input p3]
7. ! [X0] : ((~curious(X0) <~> curious(X0)) => (~generous(X0) & ~happy(X0))) ... | 0 |
Everyone who is kind or not humble is both old and not tall. Everyone who is strong or old is both not wise and rich and vice versa. If lucy is either not tall or generous then john is either generous or happy. Everyone who is brave is not kind. Everyone who is either not patient or patient is either not old or old and... | Fred is not tall. | entailment | (![X]:((kind(X)|~humble(X))=>(old(X)&~tall(X))))&
(![X]:((strong(X)|old(X))<=>(~wise(X)&rich(X))))&
(((~tall(lucy)<~>generous(lucy)))=>((generous(john)<~>happy(john))))&
(![X]:(brave(X)=>~kind(X)))&
(![X]:((~patient(X)<~>patient(X))<=>(~old(X)<~>old(X))))&
(![X]:((old(X)&funny(X))=>(~calm(X)&old(X))))&
(![X]:(~wise(X)=... | ~tall(fred) | [
"p0",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5330265683622287498600754
% SZS output start Proof for 5330265683622287498600754
1. ! [X0] : ((~humble(X0) | kind(X0)) => (~tall(X0) & old(X0))) [input p0]
7. ! [X0] : (~wise(X0) => ~tall(X0)) [input p6]
9. ! [X0] : ((wise(X0) <~> ~funny(X0)) <=> (~patient(X0) & ~humble(X0))) [input p8]
1... | 0 |
Everyone who is kind or not humble is patient. If someone is both not tall and not kind then mary is funny and vice versa. Everyone who is both funny and not generous is old or happy and vice versa. Everyone who is both rich and not quiet is not curious and vice versa. If someone is wise or old then someone is not brav... | Lucy is generous. | contradiction | (![X]:((kind(X)|~humble(X))=>patient(X)))&
((?[X]:((~tall(X)&~kind(X))))<=>(funny(mary)))&
(![X]:((funny(X)&~generous(X))<=>(old(X)|happy(X))))&
(![X]:((rich(X)&~quiet(X))<=>~curious(X)))&
((?[X]:((wise(X)|old(X))))=>(?[X]:(~brave(X))))&
(((happy(mary)&quiet(mary)))<=>(wise(alice)))&
(((patient(mary)&~funny(mary)))<=>(... | generous(lucy) | [
"p2",
"p7",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6919147196995311479763635
% SZS output start Proof for 6919147196995311479763635
3. ! [X0] : ((~generous(X0) & funny(X0)) <=> (happy(X0) | old(X0))) [input p2]
8. ! [X0] : ((old(X0) <~> ~tall(X0)) <=> (brave(X0) & happy(X0))) [input p7]
22. ~tall(lucy) <~> wise(lucy) [input p21]
23. ~wise... | 0 |
Everyone who is both not quiet and not old is not brave or curious.
Everyone who is both strong and kind is both happy and humble and vice versa.
If someone is not quiet then susan is wise.
If john is either kind or wise then someone is either kind or not brave and vice versa.
Everyone who is both curious and not stron... | Susan is not rich. | contradiction | (![X]:((~quiet(X)&~old(X))=>(~brave(X)|curious(X))))&
(![X]:((strong(X)&kind(X))<=>(happy(X)&humble(X))))&
((?[X]:(~quiet(X)))=>(wise(susan)))&
(((kind(john)<~>wise(john)))<=>(?[X]:((kind(X)<~>~brave(X)))))&
(![X]:((curious(X)&~strong(X))=>~funny(X)))&
(((~happy(fred)|~strong(fred)))=>(?[X]:(happy(X))))&
(![X]:(brave(X... | ~rich(susan) | [
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 453399867964602326998890
% SZS output start Proof for 453399867964602326998890
7. ! [X0] : (brave(X0) <=> (~quiet(X0) & ~funny(X0))) [input p6]
8. ! [X0] : ((~rich(X0) | quiet(X0)) <=> brave(X0)) [input p7]
10. ! [X0] : ((~brave(X0) & ~kind(X0)) <=> ~quiet(X0)) [input p9]
24. ~rich(susan)... | 0 |
Everyone who is quiet is generous or not old.
If someone is both not generous and not wise then someone is old or not curious.
If someone is either funny or not old then john is both humble and not wise.
Everyone who is brave is both not tall and calm and vice versa.
Everyone who is not quiet is not patient and vice ve... | Alice is not tall. | neutral | (![X]:(quiet(X)=>(generous(X)|~old(X))))&
((?[X]:((~generous(X)&~wise(X))))=>(?[X]:((old(X)|~curious(X)))))&
((?[X]:((funny(X)<~>~old(X))))=>((humble(john)&~wise(john))))&
(![X]:(brave(X)<=>(~tall(X)&calm(X))))&
(![X]:(~quiet(X)<=>~patient(X)))&
(![X]:((~generous(X)<~>~kind(X))=>(strong(X)<~>~rich(X))))&
((?[X]:(~quiet... | ~tall(alice) | [] | null | 0 |
Everyone who is not funny or creative is both curious and happy and vice versa.
Everyone who is creative is not calm or rich.
If someone is either not creative or wise then susan is both calm and not strong and vice versa.
If someone is both not generous and not calm then someone is both old and kind and vice versa.
If... | Paul is not quiet. | contradiction | (![X]:((~funny(X)|creative(X))<=>(curious(X)&happy(X))))&
(![X]:(creative(X)=>(~calm(X)|rich(X))))&
((?[X]:((~creative(X)<~>wise(X))))<=>((calm(susan)&~strong(susan))))&
((?[X]:((~generous(X)&~calm(X))))<=>(?[X]:((old(X)&kind(X)))))&
((~calm(alice))=>(?[X]:((happy(X)&~tall(X)))))&
((?[X]:((strong(X)|calm(X))))=>((quiet... | ~quiet(paul) | [
"p5",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7086888977954971368197440
% SZS output start Proof for 7086888977954971368197440
6. ? [X0] : (calm(X0) | strong(X0)) => (rich(paul) & quiet(paul)) [input p5]
24. ? [X0] : calm(X0) [input p23]
25. ~quiet(paul) [input hypothesis]
33. (rich(paul) & quiet(paul)) | ! [X0] : (~calm(X0) & ~stron... | 0 |
Everyone who is both not curious and quiet is not patient or wise.
Everyone who is not generous is both brave and not wise.
If paul is not funny or not generous then lucy is both not kind and not creative and vice versa.
Everyone who is happy or strong is generous or brave.
If john is funny then john is not rich.
Every... | Susan is not old. | neutral | (![X]:((~curious(X)&quiet(X))=>(~patient(X)|wise(X))))&
(![X]:(~generous(X)=>(brave(X)&~wise(X))))&
(((~funny(paul)|~generous(paul)))<=>((~kind(lucy)&~creative(lucy))))&
(![X]:((happy(X)|strong(X))=>(generous(X)|brave(X))))&
((funny(john))=>(~rich(john)))&
(![X]:((strong(X)&tall(X))=>(curious(X)&brave(X))))&
(![X]:((ha... | ~old(susan) | [] | null | 0 |
If someone is either not happy or calm then fred is not funny.
Everyone who is not old or not patient is funny or not kind and vice versa.
Everyone who is either wise or funny is not old and vice versa.
If paul is both not old and not strong then someone is not patient or not tall and vice versa.
If john is not tall or... | Mary is not wise. | contradiction | ((?[X]:((~happy(X)<~>calm(X))))=>(~funny(fred)))&
(![X]:((~old(X)|~patient(X))<=>(funny(X)|~kind(X))))&
(![X]:((wise(X)<~>funny(X))<=>~old(X)))&
(((~old(paul)&~strong(paul)))<=>(?[X]:((~patient(X)|~tall(X)))))&
(((~tall(john)|~funny(john)))<=>(?[X]:(generous(X))))&
(![X]:((~funny(X)<~>tall(X))<=>(~kind(X)&~old(X))))&
(... | ~wise(mary) | [
"p1",
"p2",
"p5",
"p7",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 18868842248445243316706
% SZS output start Proof for 18868842248445243316706
2. ! [X0] : ((~patient(X0) | ~old(X0)) <=> (~kind(X0) | funny(X0))) [input p1]
3. ! [X0] : ((wise(X0) <~> funny(X0)) <=> ~old(X0)) [input p2]
6. ! [X0] : ((~funny(X0) <~> tall(X0)) <=> (~old(X0) & ~kind(X0))) [in... | 0 |
Everyone who is not strong or not calm is either not humble or curious. Everyone who is not old is either not humble or humble. Everyone who is tall is not generous. Everyone who is either creative or not kind is not old and vice versa. Everyone who is quiet or not strong is happy or kind. Everyone who is either wise o... | Alice is generous. | contradiction | (![X]:((~strong(X)|~calm(X))=>(~humble(X)<~>curious(X))))&
(![X]:(~old(X)=>(~humble(X)<~>humble(X))))&
(![X]:(tall(X)=>~generous(X)))&
(![X]:((creative(X)<~>~kind(X))<=>~old(X)))&
(![X]:((quiet(X)|~strong(X))=>(happy(X)|kind(X))))&
(![X]:((wise(X)<~>tall(X))=>(~creative(X)<~>~strong(X))))&
(((~generous(susan)&~patient(... | generous(alice) | [
"p2",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5743950220334426495366464
% SZS output start Proof for 5743950220334426495366464
3. ! [X0] : (tall(X0) => ~generous(X0)) [input p2]
8. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (~tall(X0) <~> humble(X0))) [input p7]
19. humble(alice) & ~funny(alice) [input p18]
24. generous(alice) [inp... | 0 |
Everyone who is either brave or calm is either not calm or not humble.
Everyone who is either not quiet or funny is both not curious and curious.
Everyone who is not patient or not generous is quiet or kind.
If someone is not funny then fred is generous or not brave and vice versa.
Everyone who is either not tall or ki... | Lucy is old. | contradiction | (![X]:((brave(X)<~>calm(X))=>(~calm(X)<~>~humble(X))))&
(![X]:((~quiet(X)<~>funny(X))=>(~curious(X)&curious(X))))&
(![X]:((~patient(X)|~generous(X))=>(quiet(X)|kind(X))))&
((?[X]:(~funny(X)))<=>((generous(fred)|~brave(fred))))&
(![X]:((~tall(X)<~>kind(X))<=>~calm(X)))&
(![X]:((strong(X)<~>~creative(X))=>~strong(X)))&
(... | old(lucy) | [
"p4",
"p6",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9184757007899346710398067
% SZS output start Proof for 9184757007899346710398067
5. ! [X0] : ((~tall(X0) <~> kind(X0)) <=> ~calm(X0)) [input p4]
7. ! [X0] : ((tall(X0) | funny(X0)) <=> ~funny(X0)) [input p6]
9. ! [X0] : ((~happy(X0) <~> tall(X0)) => (~curious(X0) & ~calm(X0))) [input p8]
... | 0 |
If someone is not wise then paul is not happy or not patient.
If alice is not old or patient then fred is both not brave and not quiet and vice versa.
Everyone who is either not patient or not happy is strong or tall and vice versa.
Everyone who is old or not wise is kind and vice versa.
If someone is tall then someone... | Alice is kind. | entailment | ((?[X]:(~wise(X)))=>((~happy(paul)|~patient(paul))))&
(((~old(alice)|patient(alice)))<=>((~brave(fred)&~quiet(fred))))&
(![X]:((~patient(X)<~>~happy(X))<=>(strong(X)|tall(X))))&
(![X]:((old(X)|~wise(X))<=>kind(X)))&
((?[X]:(tall(X)))<=>(?[X]:(~happy(X))))&
(((~tall(lucy)<~>~humble(lucy)))=>(?[X]:((rich(X)&~rich(X)))))&... | kind(alice) | [
"p3",
"p7",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9133322606991398186622490
% SZS output start Proof for 9133322606991398186622490
4. ! [X0] : ((~wise(X0) | old(X0)) <=> kind(X0)) [input p3]
8. ? [X0] : (kind(X0) | humble(X0)) <=> strong(alice) [input p7]
13. ? [X0] : wise(X0) => ~strong(alice) [input p12]
18. old(john) & ~generous(john)... | 0 |
Everyone who is both generous and not creative is not wise and vice versa.
Everyone who is both not wise and not brave is either calm or not generous.
Everyone who is not brave is both humble and kind and vice versa.
Everyone who is funny or humble is either quiet or not generous.
If mary is both kind and strong then s... | Susan is generous. | entailment | (![X]:((generous(X)&~creative(X))<=>~wise(X)))&
(![X]:((~wise(X)&~brave(X))=>(calm(X)<~>~generous(X))))&
(![X]:(~brave(X)<=>(humble(X)&kind(X))))&
(![X]:((funny(X)|humble(X))=>(quiet(X)<~>~generous(X))))&
(((kind(mary)&strong(mary)))<=>(?[X]:((quiet(X)&~quiet(X)))))&
(![X]:((tall(X)&calm(X))<=>(~happy(X)<~>~creative(X)... | generous(susan) | [
"p0",
"p2",
"p6",
"p7",
"p8",
"p9",
"p13",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 177543115800571247203971
% SZS output start Proof for 177543115800571247203971
1. ! [X0] : ((~creative(X0) & generous(X0)) <=> ~wise(X0)) [input p0]
3. ! [X0] : (~brave(X0) <=> (kind(X0) & humble(X0))) [input p2]
7. (strong(susan) <~> old(susan)) <=> ? [X0] : (brave(X0) | ~curious(X0)) [i... | 0 |
If susan is either not humble or not generous then fred is creative or not creative.
If someone is either creative or not happy then fred is either not creative or not tall and vice versa.
Everyone who is either not calm or strong is tall and vice versa.
If someone is brave or happy then susan is both quiet and not ric... | Susan is patient. | contradiction | (((~humble(susan)<~>~generous(susan)))=>((creative(fred)|~creative(fred))))&
((?[X]:((creative(X)<~>~happy(X))))<=>((~creative(fred)<~>~tall(fred))))&
(![X]:((~calm(X)<~>strong(X))<=>tall(X)))&
((?[X]:((brave(X)|happy(X))))=>((quiet(susan)&~rich(susan))))&
(![X]:((creative(X)|~calm(X))=>(~tall(X)|old(X))))&
(![X]:((~ca... | patient(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2447077017637457799297951
% SZS output start Proof for 2447077017637457799297951
10. ! [X0] : ((~kind(X0) | kind(X0)) <=> (~patient(X0) & calm(X0))) [input p9]
24. patient(susan) [input hypothesis]
55. ! [X0] : (((~kind(X0) | kind(X0)) | (patient(X0) | ~calm(X0))) & ((~patient(X0) & calm(... | 0 |
Everyone who is happy is both not generous and not quiet and vice versa.
Everyone who is kind or rich is both not generous and not brave.
Everyone who is both rich and not brave is not tall or not strong.
If paul is not patient then someone is not kind or patient.
Everyone who is either not creative or curious is not k... | Susan is tall. | contradiction | (![X]:(happy(X)<=>(~generous(X)&~quiet(X))))&
(![X]:((kind(X)|rich(X))=>(~generous(X)&~brave(X))))&
(![X]:((rich(X)&~brave(X))=>(~tall(X)|~strong(X))))&
((~patient(paul))=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:((~creative(X)<~>curious(X))=>(~kind(X)|~humble(X))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~strong(X)|wise(X))))... | tall(susan) | [
"p1",
"p2",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3819893373349481539806889
% SZS output start Proof for 3819893373349481539806889
2. ! [X0] : ((rich(X0) | kind(X0)) => (~brave(X0) & ~generous(X0))) [input p1]
3. ! [X0] : ((~brave(X0) & rich(X0)) => (~strong(X0) | ~tall(X0))) [input p2]
11. ! [X0] : (~strong(X0) => ~patient(X0)) [input p... | 0 |
If someone is humble then john is either not tall or not brave and vice versa.
Everyone who is either not strong or rich is both not funny and not creative and vice versa.
If someone is not patient or not tall then someone is not wise and vice versa.
If mary is either humble or brave then alice is not strong or not tal... | Susan is not curious. | neutral | ((?[X]:(humble(X)))<=>((~tall(john)<~>~brave(john))))&
(![X]:((~strong(X)<~>rich(X))<=>(~funny(X)&~creative(X))))&
((?[X]:((~patient(X)|~tall(X))))<=>(?[X]:(~wise(X))))&
(((humble(mary)<~>brave(mary)))<=>((~strong(alice)|~tall(alice))))&
(((~strong(alice)<~>generous(alice)))=>(?[X]:((~old(X)&rich(X)))))&
(![X]:((~gener... | ~curious(susan) | [] | null | 0 |
If john is brave then fred is both calm and curious. Everyone who is not rich is calm and vice versa. Everyone who is both not tall and creative is not curious. If fred is not wise or tall then mary is both not funny and happy and vice versa. Everyone who is both curious and rich is either not curious or not generous. ... | Paul is kind. | contradiction | ((brave(john))=>((calm(fred)&curious(fred))))&
(![X]:(~rich(X)<=>calm(X)))&
(![X]:((~tall(X)&creative(X))=>~curious(X)))&
(((~wise(fred)|tall(fred)))<=>((~funny(mary)&happy(mary))))&
(![X]:((curious(X)&rich(X))=>(~curious(X)<~>~generous(X))))&
((?[X]:((strong(X)<~>~happy(X))))<=>(generous(lucy)))&
((old(susan))<=>(?[X]... | kind(paul) | [
"p1",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3857980183787441572546898
% SZS output start Proof for 3857980183787441572546898
2. ! [X0] : (~rich(X0) <=> calm(X0)) [input p1]
11. ! [X0] : ((quiet(X0) | strong(X0)) => ~quiet(X0)) [input p10]
13. ? [X0] : (wise(X0) & calm(X0)) <=> (humble(paul) | kind(paul)) [input p12]
15. ! [X0] : ((... | 0 |
Everyone who is both not kind and humble is creative.
If someone is both not funny and old then someone is either not strong or calm and vice versa.
If mary is both old and patient then someone is either not generous or creative.
If mary is tall or funny then someone is either not tall or not brave.
If fred is kind the... | Alice is not curious. | entailment | (![X]:((~kind(X)&humble(X))=>creative(X)))&
((?[X]:((~funny(X)&old(X))))<=>(?[X]:((~strong(X)<~>calm(X)))))&
(((old(mary)&patient(mary)))=>(?[X]:((~generous(X)<~>creative(X)))))&
(((tall(mary)|funny(mary)))=>(?[X]:((~tall(X)<~>~brave(X)))))&
((kind(fred))=>(?[X]:((tall(X)&curious(X)))))&
(((quiet(paul)&~generous(paul))... | ~curious(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4315781841400007881232029
% SZS output start Proof for 4315781841400007881232029
15. ! [X0] : ((~humble(X0) | humble(X0)) <=> (~old(X0) & ~curious(X0))) [input p14]
25. curious(alice) [input hypothesis]
66. ! [X0] : (((~humble(X0) | humble(X0)) | (old(X0) | curious(X0))) & ((~old(X0) & ~c... | 0 |
If alice is not creative or not funny then someone is either not brave or not quiet and vice versa.
If alice is not patient or patient then someone is either old or quiet.
Everyone who is either humble or not humble is both generous and wise.
If someone is creative then fred is both wise and not brave and vice versa.
I... | Fred is not humble. | contradiction | (((~creative(alice)|~funny(alice)))<=>(?[X]:((~brave(X)<~>~quiet(X)))))&
(((~patient(alice)|patient(alice)))=>(?[X]:((old(X)<~>quiet(X)))))&
(![X]:((humble(X)<~>~humble(X))=>(generous(X)&wise(X))))&
((?[X]:(creative(X)))<=>((wise(fred)&~brave(fred))))&
(((calm(alice)|~quiet(alice)))<=>((happy(lucy)&curious(lucy))))&
((... | ~humble(fred) | [
"p2",
"p5",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5160286492510156881888284
% SZS output start Proof for 5160286492510156881888284
3. ! [X0] : ((humble(X0) <~> ~humble(X0)) => (wise(X0) & generous(X0))) [input p2]
6. ? [X0] : tall(X0) => ? [X0] : (~generous(X0) & patient(X0)) [input p5]
13. ! [X0] : (humble(X0) <=> (~kind(X0) <~> tall(X0... | 0 |
If someone is both not creative and kind then susan is both not wise and rich and vice versa.
If someone is both calm and funny then susan is both tall and curious.
Everyone who is not funny or humble is either old or not happy and vice versa.
Everyone who is both happy and brave is both not curious and not calm and vi... | Susan is happy. | neutral | ((?[X]:((~creative(X)&kind(X))))<=>((~wise(susan)&rich(susan))))&
((?[X]:((calm(X)&funny(X))))=>((tall(susan)&curious(susan))))&
(![X]:((~funny(X)|humble(X))<=>(old(X)<~>~happy(X))))&
(![X]:((happy(X)&brave(X))<=>(~curious(X)&~calm(X))))&
(![X]:(funny(X)<=>(~old(X)&humble(X))))&
(![X]:(strong(X)<=>(patient(X)<~>~rich(X... | happy(susan) | [] | null | 0 |
Everyone who is not patient is generous or not generous and vice versa. Everyone who is either generous or wise is both happy and not tall. If alice is not brave or happy then mary is either not patient or not kind and vice versa. Everyone who is not patient is not wise. If someone is not brave or brave then john is bo... | Susan is not patient. | entailment | (![X]:(~patient(X)<=>(generous(X)|~generous(X))))&
(![X]:((generous(X)<~>wise(X))=>(happy(X)&~tall(X))))&
(((~brave(alice)|happy(alice)))<=>((~patient(mary)<~>~kind(mary))))&
(![X]:(~patient(X)=>~wise(X)))&
((?[X]:((~brave(X)|brave(X))))=>((creative(john)&quiet(john))))&
(![X]:(patient(X)<=>(funny(X)<~>~kind(X))))&
(![... | ~patient(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3940005550785254136991029
% SZS output start Proof for 3940005550785254136991029
1. ! [X0] : (~patient(X0) <=> (~generous(X0) | generous(X0))) [input p0]
24. patient(susan) [input hypothesis]
35. ! [X0] : ((~patient(X0) | (generous(X0) & ~generous(X0))) & ((~generous(X0) | generous(X0)) |... | 0 |
Everyone who is either not strong or not old is calm or brave. Everyone who is either kind or not generous is either not creative or not humble and vice versa. Everyone who is not quiet is both not calm and not quiet and vice versa. Everyone who is quiet is either not strong or not old and vice versa. Everyone who is n... | Fred is curious. | entailment | (![X]:((~strong(X)<~>~old(X))=>(calm(X)|brave(X))))&
(![X]:((kind(X)<~>~generous(X))<=>(~creative(X)<~>~humble(X))))&
(![X]:(~quiet(X)<=>(~calm(X)&~quiet(X))))&
(![X]:(quiet(X)<=>(~strong(X)<~>~old(X))))&
(![X]:(~kind(X)<=>(~calm(X)|brave(X))))&
(![X]:((happy(X)|rich(X))=>(~brave(X)&calm(X))))&
(![X]:((happy(X)<~>quiet... | curious(fred) | [
"p2",
"p4",
"p5",
"p6",
"p8",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2958642258029877924264736
% SZS output start Proof for 2958642258029877924264736
3. ! [X0] : (~quiet(X0) <=> (~quiet(X0) & ~calm(X0))) [input p2]
5. ! [X0] : (~kind(X0) <=> (brave(X0) | ~calm(X0))) [input p4]
6. ! [X0] : ((rich(X0) | happy(X0)) => (calm(X0) & ~brave(X0))) [input p5]
7. ! ... | 0 |
Everyone who is patient is both not happy and quiet and vice versa.
Everyone who is either curious or not patient is either rich or tall.
If john is both not strong and not tall then susan is either curious or not happy and vice versa.
If someone is not rich then someone is either quiet or strong and vice versa.
Everyo... | Lucy is not generous. | contradiction | (![X]:(patient(X)<=>(~happy(X)&quiet(X))))&
(![X]:((curious(X)<~>~patient(X))=>(rich(X)<~>tall(X))))&
(((~strong(john)&~tall(john)))<=>((curious(susan)<~>~happy(susan))))&
((?[X]:(~rich(X)))<=>(?[X]:((quiet(X)<~>strong(X)))))&
(![X]:((~wise(X)|~creative(X))<=>(funny(X)<~>calm(X))))&
((?[X]:((generous(X)<~>funny(X))))=>... | ~generous(lucy) | [
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6596786780124826435766424
% SZS output start Proof for 6596786780124826435766424
8. ! [X0] : ((kind(X0) | curious(X0)) <=> (patient(X0) & strong(X0))) [input p7]
9. ! [X0] : ((strong(X0) <~> generous(X0)) => (curious(X0) & ~strong(X0))) [input p8]
11. ! [X0] : (~curious(X0) => (kind(X0) &... | 0 |
If someone is not humble then someone is both curious and not wise and vice versa.
Everyone who is not funny is either quiet or not wise.
Everyone who is curious or humble is not strong.
Everyone who is either wise or generous is either happy or not patient and vice versa.
Everyone who is both not patient and strong is... | Lucy is tall. | neutral | ((?[X]:(~humble(X)))<=>(?[X]:((curious(X)&~wise(X)))))&
(![X]:(~funny(X)=>(quiet(X)<~>~wise(X))))&
(![X]:((curious(X)|humble(X))=>~strong(X)))&
(![X]:((wise(X)<~>generous(X))<=>(happy(X)<~>~patient(X))))&
(![X]:((~patient(X)&strong(X))<=>(patient(X)|~funny(X))))&
(![X]:(rich(X)<=>brave(X)))&
(![X]:(brave(X)<=>patient(X... | tall(lucy) | [] | null | 0 |
If someone is both quiet and funny then paul is both not wise and not tall.
Everyone who is both creative and rich is tall or generous.
If mary is both wise and patient then someone is not kind and vice versa.
Everyone who is either not brave or not wise is quiet or not calm and vice versa.
Everyone who is either not f... | Mary is not wise. | contradiction | ((?[X]:((quiet(X)&funny(X))))=>((~wise(paul)&~tall(paul))))&
(![X]:((creative(X)&rich(X))=>(tall(X)|generous(X))))&
(((wise(mary)&patient(mary)))<=>(?[X]:(~kind(X))))&
(![X]:((~brave(X)<~>~wise(X))<=>(quiet(X)|~calm(X))))&
(![X]:((~funny(X)<~>patient(X))=>~generous(X)))&
(![X]:((brave(X)<~>generous(X))=>(wise(X)&~kind(... | ~wise(mary) | [
"p2",
"p7",
"p10",
"p12",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4407456318825731926786059
% SZS output start Proof for 4407456318825731926786059
3. (patient(mary) & wise(mary)) <=> ? [X0] : ~kind(X0) [input p2]
8. ! [X0] : ((wise(X0) | ~strong(X0)) <=> (tall(X0) & curious(X0))) [input p7]
11. (brave(susan) | ~kind(susan)) <=> ? [X0] : (old(X0) | ~quie... | 0 |
If someone is both not strong and happy then someone is both happy and strong.
If someone is both not generous and generous then susan is kind or not generous and vice versa.
Everyone who is not patient is both creative and not funny.
If someone is patient then lucy is both funny and humble and vice versa.
Everyone who... | Lucy is calm. | contradiction | ((?[X]:((~strong(X)&happy(X))))=>(?[X]:((happy(X)&strong(X)))))&
((?[X]:((~generous(X)&generous(X))))<=>((kind(susan)|~generous(susan))))&
(![X]:(~patient(X)=>(creative(X)&~funny(X))))&
((?[X]:(patient(X)))<=>((funny(lucy)&humble(lucy))))&
(![X]:(generous(X)=>(~happy(X)|~tall(X))))&
(![X]:((~kind(X)&~calm(X))<=>(humble... | calm(lucy) | [
"p3",
"p5",
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5074693436916036283905821
% SZS output start Proof for 5074693436916036283905821
4. ? [X0] : patient(X0) <=> (humble(lucy) & funny(lucy)) [input p3]
6. ! [X0] : ((~calm(X0) & ~kind(X0)) <=> (~creative(X0) | humble(X0))) [input p5]
7. ! [X0] : ((~patient(X0) | brave(X0)) <=> (~wise(X0) & ~... | 0 |
If someone is not wise then someone is both not kind and not wise.
If susan is either not old or strong then alice is not generous.
If someone is creative or not creative then someone is not old or creative and vice versa.
If lucy is not happy then fred is either kind or curious and vice versa.
Everyone who is either n... | John is calm. | contradiction | ((?[X]:(~wise(X)))=>(?[X]:((~kind(X)&~wise(X)))))&
(((~old(susan)<~>strong(susan)))=>(~generous(alice)))&
((?[X]:((creative(X)|~creative(X))))<=>(?[X]:((~old(X)|creative(X)))))&
((~happy(lucy))<=>((kind(fred)<~>curious(fred))))&
(![X]:((~calm(X)<~>happy(X))<=>(~funny(X)|~brave(X))))&
((?[X]:((~rich(X)|wise(X))))=>((gen... | calm(john) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7688670405672583021476580
% SZS output start Proof for 7688670405672583021476580
15. ! [X0] : (calm(X0) => (kind(X0) & ~calm(X0))) [input p14]
24. calm(john) [input hypothesis]
35. ! [X0] : ((kind(X0) & ~calm(X0)) | ~calm(X0)) [ennf transformation 15]
124. ~calm(X0) | ~calm(X0) [cnf trans... | 0 |
Everyone who is not curious is rich.
Everyone who is either not humble or quiet is either happy or not old.
Everyone who is generous or not patient is humble or quiet and vice versa.
Everyone who is either creative or old is both happy and not rich and vice versa.
Everyone who is both funny and not generous is kind and... | Lucy is not quiet. | entailment | (![X]:(~curious(X)=>rich(X)))&
(![X]:((~humble(X)<~>quiet(X))=>(happy(X)<~>~old(X))))&
(![X]:((generous(X)|~patient(X))<=>(humble(X)|quiet(X))))&
(![X]:((creative(X)<~>old(X))<=>(happy(X)&~rich(X))))&
(![X]:((funny(X)&~generous(X))<=>kind(X)))&
(![X]:((~wise(X)&~rich(X))=>(~humble(X)<~>patient(X))))&
(![X]:((~creative(... | ~quiet(lucy) | [
"p2",
"p6",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 79880864408010270954578
% SZS output start Proof for 79880864408010270954578
3. ! [X0] : ((~patient(X0) | generous(X0)) <=> (quiet(X0) | humble(X0))) [input p2]
7. ! [X0] : ((~creative(X0) <~> happy(X0)) <=> (calm(X0) | humble(X0))) [input p6]
10. ! [X0] : (~creative(X0) => (patient(X0) &... | 0 |
If susan is not patient then someone is either not curious or not happy. If lucy is both not generous and humble then alice is either tall or happy and vice versa. If fred is tall or funny then someone is both brave and not curious and vice versa. Everyone who is not humble or old is both patient and tall and vice vers... | Alice is humble. | entailment | ((~patient(susan))=>(?[X]:((~curious(X)<~>~happy(X)))))&
(((~generous(lucy)&humble(lucy)))<=>((tall(alice)<~>happy(alice))))&
(((tall(fred)|funny(fred)))<=>(?[X]:((brave(X)&~curious(X)))))&
(![X]:((~humble(X)|old(X))<=>(patient(X)&tall(X))))&
((?[X]:((creative(X)|~funny(X))))<=>(?[X]:((tall(X)&rich(X)))))&
(![X]:(~quie... | humble(alice) | [
"p3",
"p6",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9055268549161406699351487
% SZS output start Proof for 9055268549161406699351487
4. ! [X0] : ((old(X0) | ~humble(X0)) <=> (tall(X0) & patient(X0))) [input p3]
7. ! [X0] : ((~wise(X0) & patient(X0)) <=> (~wise(X0) | patient(X0))) [input p6]
13. ! [X0] : ((~funny(X0) & quiet(X0)) <=> ~wise(... | 0 |
Everyone who is either old or generous is tall or not brave and vice versa.
Everyone who is both patient and not wise is both strong and brave and vice versa.
Everyone who is wise or curious is either not quiet or quiet and vice versa.
Everyone who is generous is either brave or tall.
Everyone who is not creative is bo... | Paul is not wise. | neutral | (![X]:((old(X)<~>generous(X))<=>(tall(X)|~brave(X))))&
(![X]:((patient(X)&~wise(X))<=>(strong(X)&brave(X))))&
(![X]:((wise(X)|curious(X))<=>(~quiet(X)<~>quiet(X))))&
(![X]:(generous(X)=>(brave(X)<~>tall(X))))&
(![X]:(~creative(X)=>(~brave(X)&generous(X))))&
((?[X]:((~curious(X)<~>rich(X))))<=>(strong(susan)))&
(((~funn... | ~wise(paul) | [] | null | 0 |
Everyone who is not curious is not generous or strong. If someone is either humble or not brave then someone is both funny and not humble and vice versa. If lucy is tall or strong then susan is generous and vice versa. Everyone who is not humble or kind is either rich or not curious. Everyone who is either not rich or ... | John is not calm. | entailment | (![X]:(~curious(X)=>(~generous(X)|strong(X))))&
((?[X]:((humble(X)<~>~brave(X))))<=>(?[X]:((funny(X)&~humble(X)))))&
(((tall(lucy)|strong(lucy)))<=>(generous(susan)))&
(![X]:((~humble(X)|kind(X))=>(rich(X)<~>~curious(X))))&
(![X]:((~rich(X)<~>calm(X))<=>(~rich(X)&calm(X))))&
(![X]:((~calm(X)&~happy(X))<=>strong(X)))&
(... | ~calm(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3633244207469425160608896
% SZS output start Proof for 3633244207469425160608896
5. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> (calm(X0) & ~rich(X0))) [input p4]
22. calm(john) [input hypothesis]
41. ! [X0] : ((((~calm(X0) | rich(X0)) & (calm(X0) | ~rich(X0))) | (~calm(X0) | rich(X0))) & ((ca... | 0 |
Everyone who is either not generous or not brave is both not old and not patient and vice versa.
Everyone who is not happy or not patient is either old or strong.
Everyone who is old or not wise is both not wise and not generous and vice versa.
Everyone who is either not generous or quiet is both calm and funny.
If luc... | Fred is not patient. | contradiction | (![X]:((~generous(X)<~>~brave(X))<=>(~old(X)&~patient(X))))&
(![X]:((~happy(X)|~patient(X))=>(old(X)<~>strong(X))))&
(![X]:((old(X)|~wise(X))<=>(~wise(X)&~generous(X))))&
(![X]:((~generous(X)<~>quiet(X))=>(calm(X)&funny(X))))&
(((tall(lucy)&~humble(lucy)))<=>(?[X]:((~patient(X)&kind(X)))))&
((?[X]:((~wise(X)|curious(X)... | ~patient(fred) | [
"p0",
"p1",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4040577682665127647706602
% SZS output start Proof for 4040577682665127647706602
1. ! [X0] : ((~generous(X0) <~> ~brave(X0)) <=> (~patient(X0) & ~old(X0))) [input p0]
2. ! [X0] : ((~patient(X0) | ~happy(X0)) => (old(X0) <~> strong(X0))) [input p1]
9. ! [X0] : ((old(X0) | ~generous(X0)) <=... | 0 |
Everyone who is kind or funny is both not strong and not quiet and vice versa.
Everyone who is patient or not brave is wise or not kind and vice versa.
Everyone who is either calm or curious is both not kind and not happy.
Everyone who is generous or not generous is not tall.
Everyone who is not quiet is creative.
Ever... | Susan is not strong. | neutral | (![X]:((kind(X)|funny(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((patient(X)|~brave(X))<=>(wise(X)|~kind(X))))&
(![X]:((calm(X)<~>curious(X))=>(~kind(X)&~happy(X))))&
(![X]:((generous(X)|~generous(X))=>~tall(X)))&
(![X]:(~quiet(X)=>creative(X)))&
(![X]:(strong(X)<=>(~kind(X)<~>creative(X))))&
((?[X]:((~quiet(X)&strong(X)))... | ~strong(susan) | [] | null | 0 |
Everyone who is either kind or not creative is either old or not old and vice versa.
If fred is not wise then someone is both curious and not strong.
If lucy is not wise or calm then mary is not rich and vice versa.
Everyone who is either kind or strong is not rich or not creative and vice versa.
Everyone who is genero... | Lucy is not wise. | contradiction | (![X]:((kind(X)<~>~creative(X))<=>(old(X)<~>~old(X))))&
((~wise(fred))=>(?[X]:((curious(X)&~strong(X)))))&
(((~wise(lucy)|calm(lucy)))<=>(~rich(mary)))&
(![X]:((kind(X)<~>strong(X))<=>(~rich(X)|~creative(X))))&
(![X]:(generous(X)<=>(patient(X)&quiet(X))))&
(((calm(lucy)&~humble(lucy)))=>(?[X]:((wise(X)&~wise(X)))))&
((... | ~wise(lucy) | [
"p0",
"p2",
"p3",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2768992341996905342918742
% SZS output start Proof for 2768992341996905342918742
1. ! [X0] : ((kind(X0) <~> ~creative(X0)) <=> (old(X0) <~> ~old(X0))) [input p0]
3. (calm(lucy) | ~wise(lucy)) <=> ~rich(mary) [input p2]
4. ! [X0] : ((kind(X0) <~> strong(X0)) <=> (~creative(X0) | ~rich(X0))... | 0 |
If someone is either kind or not creative then susan is both generous and not rich.
Everyone who is rich or strong is not calm.
Everyone who is both generous and curious is kind or funny and vice versa.
Everyone who is old or wise is not tall or happy.
Everyone who is generous or not patient is both not brave and old.
... | Fred is tall. | entailment | ((?[X]:((kind(X)<~>~creative(X))))=>((generous(susan)&~rich(susan))))&
(![X]:((rich(X)|strong(X))=>~calm(X)))&
(![X]:((generous(X)&curious(X))<=>(kind(X)|funny(X))))&
(![X]:((old(X)|wise(X))=>(~tall(X)|happy(X))))&
(![X]:((generous(X)|~patient(X))=>(~brave(X)&old(X))))&
(![X]:((~funny(X)<~>~brave(X))<=>(~brave(X)|wise(... | tall(fred) | [
"p2",
"p4",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4571195797644942496268380
% SZS output start Proof for 4571195797644942496268380
3. ! [X0] : ((curious(X0) & generous(X0)) <=> (funny(X0) | kind(X0))) [input p2]
5. ! [X0] : ((~patient(X0) | generous(X0)) => (old(X0) & ~brave(X0))) [input p4]
7. ! [X0] : (funny(X0) <=> (~tall(X0) | rich(X... | 0 |
If susan is not rich then lucy is both wise and generous. Everyone who is not humble is not quiet and vice versa. Everyone who is either not strong or wise is either not humble or not calm. Everyone who is quiet is not kind or humble and vice versa. Everyone who is quiet or not rich is old or not humble. Everyone who i... | Alice is generous. | neutral | ((~rich(susan))=>((wise(lucy)&generous(lucy))))&
(![X]:(~humble(X)<=>~quiet(X)))&
(![X]:((~strong(X)<~>wise(X))=>(~humble(X)<~>~calm(X))))&
(![X]:(quiet(X)<=>(~kind(X)|humble(X))))&
(![X]:((quiet(X)|~rich(X))=>(old(X)|~humble(X))))&
(![X]:((~funny(X)|kind(X))=>(quiet(X)&~creative(X))))&
(![X]:(~kind(X)<=>wise(X)))&
(![... | generous(alice) | [] | null | 0 |
Everyone who is both generous and not rich is both not tall and not old.
Everyone who is not quiet is not curious or humble and vice versa.
Everyone who is either patient or not patient is both rich and wise and vice versa.
Everyone who is either not strong or not rich is not kind or not funny and vice versa.
If someon... | Susan is calm. | contradiction | (![X]:((generous(X)&~rich(X))=>(~tall(X)&~old(X))))&
(![X]:(~quiet(X)<=>(~curious(X)|humble(X))))&
(![X]:((patient(X)<~>~patient(X))<=>(rich(X)&wise(X))))&
(![X]:((~strong(X)<~>~rich(X))<=>(~kind(X)|~funny(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((patient(X)<~>~wise(X)))))&
(![X]:((wise(X)&calm(X))<=>(old(X)<~>~patient(X))))... | calm(susan) | [
"p2",
"p3",
"p5",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 461205595267089543275200
% SZS output start Proof for 461205595267089543275200
3. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> (wise(X0) & rich(X0))) [input p2]
4. ! [X0] : ((~strong(X0) <~> ~rich(X0)) <=> (~funny(X0) | ~kind(X0))) [input p3]
6. ! [X0] : ((calm(X0) & wise(X0)) <=> (old(X0... | 0 |
Everyone who is not kind is generous and vice versa.
If someone is rich then someone is not funny.
Everyone who is both not calm and not generous is not brave or quiet.
If alice is either not wise or strong then paul is both brave and creative.
Everyone who is both calm and patient is both not generous and not patient.... | Mary is not humble. | neutral | (![X]:(~kind(X)<=>generous(X)))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(![X]:((~calm(X)&~generous(X))=>(~brave(X)|quiet(X))))&
(((~wise(alice)<~>strong(alice)))=>((brave(paul)&creative(paul))))&
(![X]:((calm(X)&patient(X))=>(~generous(X)&~patient(X))))&
(![X]:((kind(X)|~strong(X))=>(quiet(X)&~happy(X))))&
(((~old(mar... | ~humble(mary) | [] | null | 0 |
If mary is both not curious and happy then someone is not calm and vice versa.
If susan is either not quiet or patient then paul is both not quiet and strong and vice versa.
Everyone who is either curious or not rich is both not old and not rich and vice versa.
If someone is either not rich or not humble then fred is e... | Lucy is curious. | neutral | (((~curious(mary)&happy(mary)))<=>(?[X]:(~calm(X))))&
(((~quiet(susan)<~>patient(susan)))<=>((~quiet(paul)&strong(paul))))&
(![X]:((curious(X)<~>~rich(X))<=>(~old(X)&~rich(X))))&
((?[X]:((~rich(X)<~>~humble(X))))<=>((humble(fred)<~>kind(fred))))&
(((~generous(mary)|~brave(mary)))<=>(?[X]:((~wise(X)<~>~old(X)))))&
((hum... | curious(lucy) | [] | null | 0 |
If someone is patient or not kind then someone is both not generous and patient and vice versa.
Everyone who is brave is calm and vice versa.
If someone is not strong then someone is either generous or funny.
If someone is brave then susan is brave or happy.
If someone is not patient or not creative then mary is either... | Paul is old. | neutral | ((?[X]:((patient(X)|~kind(X))))<=>(?[X]:((~generous(X)&patient(X)))))&
(![X]:(brave(X)<=>calm(X)))&
((?[X]:(~strong(X)))=>(?[X]:((generous(X)<~>funny(X)))))&
((?[X]:(brave(X)))=>((brave(susan)|happy(susan))))&
((?[X]:((~patient(X)|~creative(X))))=>((~tall(mary)<~>~calm(mary))))&
(((creative(fred)&wise(fred)))=>(?[X]:((... | old(paul) | [] | null | 0 |
If someone is not tall or not patient then fred is funny or not tall.
If someone is not calm or not patient then someone is wise and vice versa.
Everyone who is both not funny and not creative is either generous or quiet and vice versa.
Everyone who is tall or rich is either not wise or wise and vice versa.
If someone ... | Fred is not funny. | neutral | ((?[X]:((~tall(X)|~patient(X))))=>((funny(fred)|~tall(fred))))&
((?[X]:((~calm(X)|~patient(X))))<=>(?[X]:(wise(X))))&
(![X]:((~funny(X)&~creative(X))<=>(generous(X)<~>quiet(X))))&
(![X]:((tall(X)|rich(X))<=>(~wise(X)<~>wise(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~brave(X)&~curious(X)))))&
(![X]:((~brave(X)<~>~patient(X))<... | ~funny(fred) | [] | null | 0 |
Everyone who is not calm or generous is either not happy or kind and vice versa. If someone is humble then paul is either not wise or calm. Everyone who is not brave or happy is not happy and vice versa. If someone is both not strong and not brave then susan is not patient and vice versa. If someone is not strong or ca... | Alice is not old. | entailment | (![X]:((~calm(X)|generous(X))<=>(~happy(X)<~>kind(X))))&
((?[X]:(humble(X)))=>((~wise(paul)<~>calm(paul))))&
(![X]:((~brave(X)|happy(X))<=>~happy(X)))&
((?[X]:((~strong(X)&~brave(X))))<=>(~patient(susan)))&
((?[X]:((~strong(X)|calm(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~humble(X)&funny(X))=>(~brave(X)&calm(X))))&
(![X]:(... | ~old(alice) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6940126625138296817159545
% SZS output start Proof for 6940126625138296817159545
3. ! [X0] : ((happy(X0) | ~brave(X0)) <=> ~happy(X0)) [input p2]
15. ! [X0] : ((happy(X0) | ~old(X0)) <=> (~happy(X0) | humble(X0))) [input p14]
25. old(alice) [input hypothesis]
38. ! [X0] : (((happy(X0) | ~... | 0 |
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