premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not calm or curious is not rich.
If someone is both not humble and old then someone is old or humble.
Everyone who is both not humble and not kind is either strong or funny and vice versa.
If someone is either not curious or creative then someone is happy.
Everyone who is either not wise or humbl... | Mary is not wise. | neutral | (![X]:((~calm(X)<~>curious(X))=>~rich(X)))&
((?[X]:((~humble(X)&old(X))))=>(?[X]:((old(X)|humble(X)))))&
(![X]:((~humble(X)&~kind(X))<=>(strong(X)<~>funny(X))))&
((?[X]:((~curious(X)<~>creative(X))))=>(?[X]:(happy(X))))&
(![X]:((~wise(X)<~>humble(X))=>(~kind(X)|kind(X))))&
(((~strong(susan)<~>curious(susan)))=>((~creat... | ~wise(mary) | [] | null | 0 |
Everyone who is either curious or not happy is both patient and not funny and vice versa.
If fred is both happy and quiet then lucy is not patient or not wise and vice versa.
If john is both not humble and not calm then mary is both not rich and funny.
Everyone who is either strong or curious is not tall or not quiet a... | Alice is funny. | neutral | (![X]:((curious(X)<~>~happy(X))<=>(patient(X)&~funny(X))))&
(((happy(fred)&quiet(fred)))<=>((~patient(lucy)|~wise(lucy))))&
(((~humble(john)&~calm(john)))=>((~rich(mary)&funny(mary))))&
(![X]:((strong(X)<~>curious(X))<=>(~tall(X)|~quiet(X))))&
(![X]:((rich(X)|~quiet(X))<=>(humble(X)|calm(X))))&
(![X]:((~quiet(X)|patien... | funny(alice) | [] | null | 0 |
Everyone who is not curious or not wise is both quiet and not brave and vice versa.
Everyone who is not patient or funny is either not kind or not humble and vice versa.
If someone is either wise or not funny then john is humble or rich.
If john is either not kind or not quiet then someone is funny and vice versa.
Ever... | John is not wise. | contradiction | (![X]:((~curious(X)|~wise(X))<=>(quiet(X)&~brave(X))))&
(![X]:((~patient(X)|funny(X))<=>(~kind(X)<~>~humble(X))))&
((?[X]:((wise(X)<~>~funny(X))))=>((humble(john)|rich(john))))&
(((~kind(john)<~>~quiet(john)))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)|~curious(X))<=>~quiet(X)))&
((?[X]:(creative(X)))=>(~quiet(lucy)))&
((?... | ~wise(john) | [
"p0",
"p4",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2278131406762272040324327
% SZS output start Proof for 2278131406762272040324327
1. ! [X0] : ((~wise(X0) | ~curious(X0)) <=> (~brave(X0) & quiet(X0))) [input p0]
5. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> ~quiet(X0)) [input p4]
12. ! [X0] : ((generous(X0) & tall(X0)) <=> (~tall(X0) & old... | 0 |
Everyone who is not curious or tall is either not creative or not curious.
If someone is not creative then someone is not generous or strong.
If someone is both not brave and not quiet then alice is not patient.
Everyone who is both not patient and tall is both funny and patient and vice versa.
If fred is both brave an... | Alice is humble. | neutral | (![X]:((~curious(X)|tall(X))=>(~creative(X)<~>~curious(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~generous(X)|strong(X)))))&
((?[X]:((~brave(X)&~quiet(X))))=>(~patient(alice)))&
(![X]:((~patient(X)&tall(X))<=>(funny(X)&patient(X))))&
(((brave(fred)&~calm(fred)))<=>(wise(susan)))&
(![X]:((~creative(X)|~strong(X))=>(generou... | humble(alice) | [] | null | 0 |
Everyone who is quiet is either not tall or quiet and vice versa.
Everyone who is both rich and not humble is both happy and not brave.
If paul is both not generous and not happy then someone is both calm and not rich and vice versa.
If someone is both curious and not tall then lucy is brave or not happy and vice versa... | Lucy is not tall. | contradiction | (![X]:(quiet(X)<=>(~tall(X)<~>quiet(X))))&
(![X]:((rich(X)&~humble(X))=>(happy(X)&~brave(X))))&
(((~generous(paul)&~happy(paul)))<=>(?[X]:((calm(X)&~rich(X)))))&
((?[X]:((curious(X)&~tall(X))))<=>((brave(lucy)|~happy(lucy))))&
(((rich(john)|~generous(john)))<=>((~creative(lucy)<~>humble(lucy))))&
((?[X]:((quiet(X)<~>~h... | ~tall(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 6234798668076409529848909
% SZS output start Proof for 6234798668076409529848909
1. ! [X0] : (quiet(X0) <=> (~tall(X0) <~> quiet(X0))) [input p0]
22. ~tall(lucy) [input hypothesis]
33. ! [X0] : ((quiet(X0) | ((~tall(X0) | ~quiet(X0)) & (quiet(X0) | tall(X0)))) & (((~quiet(X0) | tall(X0)) ... | 0 |
If john is not calm then someone is both wise and kind.
If fred is both creative and not humble then mary is patient and vice versa.
Everyone who is not calm is both not strong and funny and vice versa.
Everyone who is wise or not happy is not funny.
Everyone who is not quiet is either funny or kind and vice versa.
If ... | Susan is humble. | entailment | ((~calm(john))=>(?[X]:((wise(X)&kind(X)))))&
(((creative(fred)&~humble(fred)))<=>(patient(mary)))&
(![X]:(~calm(X)<=>(~strong(X)&funny(X))))&
(![X]:((wise(X)|~happy(X))=>~funny(X)))&
(![X]:(~quiet(X)<=>(funny(X)<~>kind(X))))&
((?[X]:((generous(X)|brave(X))))<=>((kind(susan)|~curious(susan))))&
(((brave(susan)|~humble(s... | humble(susan) | [
"p3",
"p4",
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9083728707744541953325641
% SZS output start Proof for 9083728707744541953325641
4. ! [X0] : ((~happy(X0) | wise(X0)) => ~funny(X0)) [input p3]
5. ! [X0] : (~quiet(X0) <=> (funny(X0) <~> kind(X0))) [input p4]
6. ? [X0] : (brave(X0) | generous(X0)) <=> (~curious(susan) | kind(susan)) [inpu... | 0 |
If someone is rich or brave then someone is brave and vice versa. Everyone who is not strong or patient is either not funny or not happy. If lucy is happy or not strong then someone is both happy and brave and vice versa. If mary is both not strong and old then someone is not rich or patient. If someone is either kind ... | Fred is wise. | neutral | ((?[X]:((rich(X)|brave(X))))<=>(?[X]:(brave(X))))&
(![X]:((~strong(X)|patient(X))=>(~funny(X)<~>~happy(X))))&
(((happy(lucy)|~strong(lucy)))<=>(?[X]:((happy(X)&brave(X)))))&
(((~strong(mary)&old(mary)))=>(?[X]:((~rich(X)|patient(X)))))&
((?[X]:((kind(X)<~>generous(X))))<=>((~generous(susan)<~>creative(susan))))&
(![X]:... | wise(fred) | [] | null | 0 |
If paul is not wise or not curious then lucy is not calm and vice versa.
Everyone who is curious is not creative and vice versa.
Everyone who is old or strong is not wise.
If someone is funny then someone is not rich or brave and vice versa.
Everyone who is creative or strong is not patient or calm and vice versa.
If s... | Paul is not curious. | entailment | (((~wise(paul)|~curious(paul)))<=>(~calm(lucy)))&
(![X]:(curious(X)<=>~creative(X)))&
(![X]:((old(X)|strong(X))=>~wise(X)))&
((?[X]:(funny(X)))<=>(?[X]:((~rich(X)|brave(X)))))&
(![X]:((creative(X)|strong(X))<=>(~patient(X)|calm(X))))&
((?[X]:(brave(X)))=>(?[X]:((rich(X)<~>~generous(X)))))&
(((generous(susan)<~>~rich(su... | ~curious(paul) | [
"p1",
"p4",
"p7",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1807378821240869774950364
% SZS output start Proof for 1807378821240869774950364
2. ! [X0] : (curious(X0) <=> ~creative(X0)) [input p1]
5. ! [X0] : ((strong(X0) | creative(X0)) <=> (calm(X0) | ~patient(X0))) [input p4]
8. ! [X0] : ((happy(X0) & strong(X0)) <=> ~patient(X0)) [input p7]
9. ... | 0 |
If john is either not creative or not calm then someone is both not kind and humble and vice versa.
Everyone who is not curious is either not old or calm and vice versa.
Everyone who is tall or not old is not old and vice versa.
If alice is rich or not generous then john is both humble and wise and vice versa.
Everyone... | Fred is generous. | neutral | (((~creative(john)<~>~calm(john)))<=>(?[X]:((~kind(X)&humble(X)))))&
(![X]:(~curious(X)<=>(~old(X)<~>calm(X))))&
(![X]:((tall(X)|~old(X))<=>~old(X)))&
(((rich(alice)|~generous(alice)))<=>((humble(john)&wise(john))))&
(![X]:((funny(X)<~>patient(X))<=>(~strong(X)|calm(X))))&
(![X]:(~old(X)=>(quiet(X)&~tall(X))))&
(![X]:(... | generous(fred) | [] | null | 0 |
Everyone who is tall is not patient. Everyone who is brave is both tall and not funny and vice versa. If someone is not strong or not generous then someone is either not funny or not old and vice versa. Everyone who is not wise or happy is not rich and vice versa. Everyone who is both humble and brave is not tall. Ever... | Alice is creative. | entailment | (![X]:(tall(X)=>~patient(X)))&
(![X]:(brave(X)<=>(tall(X)&~funny(X))))&
((?[X]:((~strong(X)|~generous(X))))<=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((~wise(X)|happy(X))<=>~rich(X)))&
(![X]:((humble(X)&brave(X))=>~tall(X)))&
(![X]:(~curious(X)<=>(generous(X)&~kind(X))))&
(![X]:(~brave(X)=>(quiet(X)&humble(X))))&
(![X]:... | creative(alice) | [
"p1",
"p4",
"p6",
"p7",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6328176020705448417123200
% SZS output start Proof for 6328176020705448417123200
2. ! [X0] : (brave(X0) <=> (~funny(X0) & tall(X0))) [input p1]
5. ! [X0] : ((brave(X0) & humble(X0)) => ~tall(X0)) [input p4]
7. ! [X0] : (~brave(X0) => (humble(X0) & quiet(X0))) [input p6]
8. ! [X0] : ((quie... | 0 |
Everyone who is either not old or quiet is curious or not wise.
Everyone who is not happy is not old or not creative.
If lucy is calm or wise then paul is either not wise or not brave and vice versa.
If lucy is either humble or happy then susan is not rich or creative.
If susan is not calm or not generous then someone ... | John is not creative. | entailment | (![X]:((~old(X)<~>quiet(X))=>(curious(X)|~wise(X))))&
(![X]:(~happy(X)=>(~old(X)|~creative(X))))&
(((calm(lucy)|wise(lucy)))<=>((~wise(paul)<~>~brave(paul))))&
(((humble(lucy)<~>happy(lucy)))=>((~rich(susan)|creative(susan))))&
(((~calm(susan)|~generous(susan)))<=>(?[X]:((generous(X)&quiet(X)))))&
(![X]:(~rich(X)<=>(~g... | ~creative(john) | [
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 397812980905834187457593
% SZS output start Proof for 397812980905834187457593
11. ! [X0] : (~strong(X0) <=> (~generous(X0) | creative(X0))) [input p10]
13. ! [X0] : ((~old(X0) & strong(X0)) <=> (~generous(X0) | ~happy(X0))) [input p12]
15. ! [X0] : ((~creative(X0) & happy(X0)) <=> (gener... | 0 |
If fred is both humble and calm then someone is wise or not creative. Everyone who is both quiet and not strong is funny or wise and vice versa. Everyone who is tall or not creative is not wise. If lucy is both not happy and not strong then someone is not rich or not quiet. Everyone who is both not tall and tall is bot... | Susan is not rich. | neutral | (((humble(fred)&calm(fred)))=>(?[X]:((wise(X)|~creative(X)))))&
(![X]:((quiet(X)&~strong(X))<=>(funny(X)|wise(X))))&
(![X]:((tall(X)|~creative(X))=>~wise(X)))&
(((~happy(lucy)&~strong(lucy)))=>(?[X]:((~rich(X)|~quiet(X)))))&
(![X]:((~tall(X)&tall(X))<=>(~generous(X)&quiet(X))))&
(((tall(susan)<~>kind(susan)))=>(?[X]:(q... | ~rich(susan) | [] | null | 0 |
Everyone who is both not quiet and generous is not happy or creative and vice versa.
Everyone who is calm is quiet and vice versa.
Everyone who is tall is either not happy or funny.
Everyone who is either brave or not patient is patient.
Everyone who is both quiet and not happy is either kind or not generous.
Everyone ... | Susan is not creative. | contradiction | (![X]:((~quiet(X)&generous(X))<=>(~happy(X)|creative(X))))&
(![X]:(calm(X)<=>quiet(X)))&
(![X]:(tall(X)=>(~happy(X)<~>funny(X))))&
(![X]:((brave(X)<~>~patient(X))=>patient(X)))&
(![X]:((quiet(X)&~happy(X))=>(kind(X)<~>~generous(X))))&
(![X]:(~brave(X)<=>~creative(X)))&
(![X]:((~calm(X)<~>happy(X))<=>brave(X)))&
(((~pat... | ~creative(susan) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4845665488391704007416426
% SZS output start Proof for 4845665488391704007416426
1. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> (creative(X0) | ~happy(X0))) [input p0]
2. ! [X0] : (calm(X0) <=> quiet(X0)) [input p1]
3. ! [X0] : (tall(X0) => (~happy(X0) <~> funny(X0))) [input p2]
6. ! [X0] :... | 0 |
If someone is either not old or not strong then someone is either rich or not wise.
If john is either quiet or strong then someone is both generous and not calm.
If mary is calm then alice is both generous and strong.
If someone is either not old or happy then someone is both not funny and not brave.
Everyone who is ei... | Fred is not calm. | contradiction | ((?[X]:((~old(X)<~>~strong(X))))=>(?[X]:((rich(X)<~>~wise(X)))))&
(((quiet(john)<~>strong(john)))=>(?[X]:((generous(X)&~calm(X)))))&
((calm(mary))=>((generous(alice)&strong(alice))))&
((?[X]:((~old(X)<~>happy(X))))=>(?[X]:((~funny(X)&~brave(X)))))&
(![X]:((quiet(X)<~>curious(X))<=>(wise(X)&calm(X))))&
(((quiet(susan)|p... | ~calm(fred) | [
"p4",
"p6",
"p8",
"p10",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8173730684016489789453561
% SZS output start Proof for 8173730684016489789453561
5. ! [X0] : ((quiet(X0) <~> curious(X0)) <=> (calm(X0) & wise(X0))) [input p4]
7. ! [X0] : ((brave(X0) & ~happy(X0)) <=> ~quiet(X0)) [input p6]
9. ! [X0] : (~brave(X0) <=> (~curious(X0) <~> calm(X0))) [input ... | 0 |
Everyone who is either happy or not calm is creative.
If lucy is happy or generous then fred is both not happy and not kind and vice versa.
Everyone who is both strong and not strong is not generous or quiet and vice versa.
Everyone who is wise is both curious and not rich.
Everyone who is both old and humble is both q... | Mary is brave. | neutral | (![X]:((happy(X)<~>~calm(X))=>creative(X)))&
(((happy(lucy)|generous(lucy)))<=>((~happy(fred)&~kind(fred))))&
(![X]:((strong(X)&~strong(X))<=>(~generous(X)|quiet(X))))&
(![X]:(wise(X)=>(curious(X)&~rich(X))))&
(![X]:((old(X)&humble(X))<=>(quiet(X)&~tall(X))))&
(![X]:((~humble(X)<~>~happy(X))<=>(~humble(X)&strong(X))))&... | brave(mary) | [] | null | 0 |
If john is generous or creative then someone is not rich or funny and vice versa.
If susan is strong or not wise then john is not humble or rich.
Everyone who is either tall or curious is tall.
If someone is calm or brave then fred is wise.
If susan is calm or not kind then someone is old or happy.
If someone is either... | Paul is not creative. | entailment | (((generous(john)|creative(john)))<=>(?[X]:((~rich(X)|funny(X)))))&
(((strong(susan)|~wise(susan)))=>((~humble(john)|rich(john))))&
(![X]:((tall(X)<~>curious(X))=>tall(X)))&
((?[X]:((calm(X)|brave(X))))=>(wise(fred)))&
(((calm(susan)|~kind(susan)))=>(?[X]:((old(X)|happy(X)))))&
((?[X]:((~curious(X)<~>generous(X))))=>(?... | ~creative(paul) | [
"p0",
"p9",
"p12",
"p14",
"p16",
"p17",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 638132964996761973968788
% SZS output start Proof for 638132964996761973968788
1. (creative(john) | generous(john)) <=> ? [X0] : (funny(X0) | ~rich(X0)) [input p0]
10. ! [X0] : ((creative(X0) <~> ~wise(X0)) <=> (funny(X0) | ~rich(X0))) [input p9]
13. ! [X0] : ((generous(X0) | happy(X0)) <... | 0 |
Everyone who is both not kind and not humble is patient or not wise. If someone is not patient or funny then lucy is both not funny and creative. If someone is happy or humble then fred is either strong or tall and vice versa. Everyone who is both funny and not funny is either not humble or funny and vice versa. Everyo... | John is funny. | contradiction | (![X]:((~kind(X)&~humble(X))=>(patient(X)|~wise(X))))&
((?[X]:((~patient(X)|funny(X))))=>((~funny(lucy)&creative(lucy))))&
((?[X]:((happy(X)|humble(X))))<=>((strong(fred)<~>tall(fred))))&
(![X]:((funny(X)&~funny(X))<=>(~humble(X)<~>funny(X))))&
(![X]:((wise(X)<~>~wise(X))<=>(~creative(X)&~rich(X))))&
(![X]:(~creative(X... | funny(john) | [
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6632412755919222686915341
% SZS output start Proof for 6632412755919222686915341
2. ? [X0] : (funny(X0) | ~patient(X0)) => (creative(lucy) & ~funny(lucy)) [input p1]
5. ! [X0] : ((wise(X0) <~> ~wise(X0)) <=> (~rich(X0) & ~creative(X0))) [input p4]
25. funny(john) [input hypothesis]
30. (c... | 0 |
If fred is either not curious or not generous then someone is both humble and quiet. Everyone who is either patient or not humble is curious or not patient. Everyone who is both humble and rich is strong. Everyone who is calm or creative is old or brave and vice versa. Everyone who is not funny is not curious. Everyone... | Alice is not wise. | contradiction | (((~curious(fred)<~>~generous(fred)))=>(?[X]:((humble(X)&quiet(X)))))&
(![X]:((patient(X)<~>~humble(X))=>(curious(X)|~patient(X))))&
(![X]:((humble(X)&rich(X))=>strong(X)))&
(![X]:((calm(X)|creative(X))<=>(old(X)|brave(X))))&
(![X]:(~funny(X)=>~curious(X)))&
(![X]:((~calm(X)|~patient(X))<=>(~old(X)<~>~curious(X))))&
(!... | ~wise(alice) | [
"p3",
"p9",
"p11",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4429013067367564705717025
% SZS output start Proof for 4429013067367564705717025
4. ! [X0] : ((creative(X0) | calm(X0)) <=> (brave(X0) | old(X0))) [input p3]
10. ! [X0] : ((old(X0) | quiet(X0)) => ~curious(X0)) [input p9]
12. ? [X0] : (~generous(X0) | ~wise(X0)) => (~brave(alice) | calm(a... | 0 |
Everyone who is both old and not calm is not wise or curious and vice versa. Everyone who is not generous is patient or rich and vice versa. If someone is either not old or brave then mary is both rich and happy and vice versa. Everyone who is not rich is both creative and brave and vice versa. Everyone who is not rich... | Fred is not happy. | neutral | (![X]:((old(X)&~calm(X))<=>(~wise(X)|curious(X))))&
(![X]:(~generous(X)<=>(patient(X)|rich(X))))&
((?[X]:((~old(X)<~>brave(X))))<=>((rich(mary)&happy(mary))))&
(![X]:(~rich(X)<=>(creative(X)&brave(X))))&
(![X]:(~rich(X)=>(~patient(X)<~>generous(X))))&
(((~patient(fred)<~>~strong(fred)))<=>((tall(susan)<~>~humble(susan)... | ~happy(fred) | [] | null | 0 |
If mary is either not humble or generous then someone is either generous or rich and vice versa.
Everyone who is not funny or not quiet is not curious and vice versa.
Everyone who is both quiet and creative is quiet or not brave and vice versa.
Everyone who is not quiet is brave.
Everyone who is not happy or kind is ca... | Paul is creative. | contradiction | (((~humble(mary)<~>generous(mary)))<=>(?[X]:((generous(X)<~>rich(X)))))&
(![X]:((~funny(X)|~quiet(X))<=>~curious(X)))&
(![X]:((quiet(X)&creative(X))<=>(quiet(X)|~brave(X))))&
(![X]:(~quiet(X)=>brave(X)))&
(![X]:((~happy(X)|kind(X))<=>(calm(X)|~humble(X))))&
(((~curious(fred)|~patient(fred)))<=>((~humble(alice)|rich(ali... | creative(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4009430810200868566141164
% SZS output start Proof for 4009430810200868566141164
16. (~creative(paul) & ~quiet(paul)) <=> (~humble(lucy) | humble(lucy)) [input p15]
25. creative(paul) [input hypothesis]
66. ((~creative(paul) & ~quiet(paul)) | (humble(lucy) & ~humble(lucy))) & ((~humble(lu... | 0 |
Everyone who is not tall is not patient or wise and vice versa. If lucy is happy then someone is not calm and vice versa. If john is not patient or brave then someone is not strong or happy. If john is patient then someone is not happy. If susan is either not happy or generous then someone is either not kind or tall. I... | Fred is not happy. | contradiction | (![X]:(~tall(X)<=>(~patient(X)|wise(X))))&
((happy(lucy))<=>(?[X]:(~calm(X))))&
(((~patient(john)|brave(john)))=>(?[X]:((~strong(X)|happy(X)))))&
((patient(john))=>(?[X]:(~happy(X))))&
(((~happy(susan)<~>generous(susan)))=>(?[X]:((~kind(X)<~>tall(X)))))&
((?[X]:((~curious(X)<~>humble(X))))=>((wise(fred)<~>brave(fred)))... | ~happy(fred) | [
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7966081863709580846519478
% SZS output start Proof for 7966081863709580846519478
9. ! [X0] : ((~funny(X0) <~> funny(X0)) => (humble(X0) & funny(X0))) [input p8]
16. ! [X0] : (~happy(X0) => ~humble(X0)) [input p15]
24. ~happy(fred) [input hypothesis]
29. ! [X0] : ((humble(X0) & funny(X0)) ... | 0 |
Everyone who is both not funny and not kind is both kind and wise and vice versa.
Everyone who is not strong is not calm and vice versa.
Everyone who is not wise or not old is strong and vice versa.
If lucy is either not curious or not creative then someone is calm or not generous and vice versa.
If susan is either not... | Susan is not kind. | entailment | (![X]:((~funny(X)&~kind(X))<=>(kind(X)&wise(X))))&
(![X]:(~strong(X)<=>~calm(X)))&
(![X]:((~wise(X)|~old(X))<=>strong(X)))&
(((~curious(lucy)<~>~creative(lucy)))<=>(?[X]:((calm(X)|~generous(X)))))&
(((~kind(susan)<~>wise(susan)))<=>(?[X]:((happy(X)&~tall(X)))))&
(((~generous(lucy)&~calm(lucy)))=>(?[X]:(strong(X))))&
(!... | ~kind(susan) | [
"p0",
"p1",
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4807443617286694719788937
% SZS output start Proof for 4807443617286694719788937
1. ! [X0] : ((~kind(X0) & ~funny(X0)) <=> (wise(X0) & kind(X0))) [input p0]
2. ! [X0] : (~strong(X0) <=> ~calm(X0)) [input p1]
3. ! [X0] : ((~old(X0) | ~wise(X0)) <=> strong(X0)) [input p2]
15. ! [X0] : ((~ca... | 0 |
If susan is not quiet or old then someone is both not old and not patient.
If someone is patient or not kind then someone is either not old or not generous and vice versa.
If john is either not old or rich then susan is either not brave or rich and vice versa.
If someone is either calm or strong then mary is both kind ... | Susan is rich. | contradiction | (((~quiet(susan)|old(susan)))=>(?[X]:((~old(X)&~patient(X)))))&
((?[X]:((patient(X)|~kind(X))))<=>(?[X]:((~old(X)<~>~generous(X)))))&
(((~old(john)<~>rich(john)))<=>((~brave(susan)<~>rich(susan))))&
((?[X]:((calm(X)<~>strong(X))))=>((kind(mary)&brave(mary))))&
(![X]:((humble(X)|~old(X))<=>(calm(X)&~strong(X))))&
((humb... | rich(susan) | [
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4529513911774192558148828
% SZS output start Proof for 4529513911774192558148828
13. ! [X0] : ((~tall(X0) | old(X0)) => (~old(X0) & rich(X0))) [input p12]
15. ? [X0] : patient(X0) <=> ~rich(susan) [input p14]
19. patient(susan) <~> old(susan) [input p18]
23. rich(susan) [input hypothesis]... | 0 |
Everyone who is not strong is either not tall or wise.
Everyone who is both not patient and humble is either brave or kind and vice versa.
If paul is not old or wise then someone is not creative and vice versa.
If fred is not happy or not wise then someone is both kind and not quiet.
Everyone who is either wise or old ... | Lucy is not happy. | neutral | (![X]:(~strong(X)=>(~tall(X)<~>wise(X))))&
(![X]:((~patient(X)&humble(X))<=>(brave(X)<~>kind(X))))&
(((~old(paul)|wise(paul)))<=>(?[X]:(~creative(X))))&
(((~happy(fred)|~wise(fred)))=>(?[X]:((kind(X)&~quiet(X)))))&
(![X]:((wise(X)<~>old(X))<=>~old(X)))&
(![X]:((~generous(X)<~>happy(X))=>strong(X)))&
(![X]:((~patient(X)... | ~happy(lucy) | [] | null | 0 |
If alice is both not humble and happy then someone is both not happy and brave.
If mary is not brave then someone is either not happy or strong and vice versa.
Everyone who is brave or not brave is strong and vice versa.
Everyone who is either wise or strong is either rich or humble and vice versa.
Everyone who is both... | Mary is not brave. | neutral | (((~humble(alice)&happy(alice)))=>(?[X]:((~happy(X)&brave(X)))))&
((~brave(mary))<=>(?[X]:((~happy(X)<~>strong(X)))))&
(![X]:((brave(X)|~brave(X))<=>strong(X)))&
(![X]:((wise(X)<~>strong(X))<=>(rich(X)<~>humble(X))))&
(![X]:((~kind(X)&~old(X))<=>~patient(X)))&
(((~strong(fred)|calm(fred)))<=>((~curious(john)|rich(john)... | ~brave(mary) | [] | null | 0 |
Everyone who is not strong or not funny is either not patient or not curious and vice versa.
If someone is either not patient or not old then someone is either quiet or rich and vice versa.
Everyone who is strong or curious is both not wise and not brave.
Everyone who is not funny is both not generous and quiet and vic... | Fred is curious. | neutral | (![X]:((~strong(X)|~funny(X))<=>(~patient(X)<~>~curious(X))))&
((?[X]:((~patient(X)<~>~old(X))))<=>(?[X]:((quiet(X)<~>rich(X)))))&
(![X]:((strong(X)|curious(X))=>(~wise(X)&~brave(X))))&
(![X]:(~funny(X)<=>(~generous(X)&quiet(X))))&
((?[X]:((happy(X)|~curious(X))))<=>((calm(susan)<~>rich(susan))))&
((?[X]:((~calm(X)<~>c... | curious(fred) | [] | null | 0 |
Everyone who is both not brave and not calm is patient. Everyone who is generous or calm is old and vice versa. If someone is either not rich or not generous then someone is both not happy and old and vice versa. Everyone who is curious or not rich is either not humble or not quiet and vice versa. If alice is curious t... | Fred is strong. | contradiction | (![X]:((~brave(X)&~calm(X))=>patient(X)))&
(![X]:((generous(X)|calm(X))<=>old(X)))&
((?[X]:((~rich(X)<~>~generous(X))))<=>(?[X]:((~happy(X)&old(X)))))&
(![X]:((curious(X)|~rich(X))<=>(~humble(X)<~>~quiet(X))))&
((curious(alice))<=>(?[X]:((generous(X)<~>curious(X)))))&
(![X]:((~generous(X)&~quiet(X))<=>~calm(X)))&
(![X]... | strong(fred) | [
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 60908676368506990537235
% SZS output start Proof for 60908676368506990537235
19. ~wise(fred) & ~funny(fred) [input p18]
23. ~strong(fred) <~> funny(fred) [input p22]
25. strong(fred) [input hypothesis]
84. (~funny(fred) | strong(fred)) & (funny(fred) | ~strong(fred)) [nnf transformation 2... | 0 |
Everyone who is not old is both old and not wise and vice versa. Everyone who is both not wise and kind is not old or kind and vice versa. Everyone who is not wise or not brave is both not creative and strong and vice versa. If someone is either old or not generous then someone is tall or curious. If someone is either ... | Mary is rich. | entailment | (![X]:(~old(X)<=>(old(X)&~wise(X))))&
(![X]:((~wise(X)&kind(X))<=>(~old(X)|kind(X))))&
(![X]:((~wise(X)|~brave(X))<=>(~creative(X)&strong(X))))&
((?[X]:((old(X)<~>~generous(X))))=>(?[X]:((tall(X)|curious(X)))))&
((?[X]:((patient(X)<~>~tall(X))))<=>(?[X]:(~creative(X))))&
(![X]:((quiet(X)<~>~kind(X))=>calm(X)))&
(![X]:(... | rich(mary) | [
"p1",
"p2",
"p10",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 287110743559813637966019
% SZS output start Proof for 287110743559813637966019
2. ! [X0] : ((kind(X0) & ~wise(X0)) <=> (kind(X0) | ~old(X0))) [input p1]
3. ! [X0] : ((~brave(X0) | ~wise(X0)) <=> (strong(X0) & ~creative(X0))) [input p2]
11. ~rich(mary) => (brave(fred) & ~funny(fred)) [inpu... | 0 |
If someone is not rich or not creative then someone is quiet or not rich. Everyone who is both not strong and creative is both not funny and not happy. If someone is not quiet or creative then john is patient and vice versa. Everyone who is not rich is wise. Everyone who is either not funny or not strong is not wise. E... | John is not strong. | neutral | ((?[X]:((~rich(X)|~creative(X))))=>(?[X]:((quiet(X)|~rich(X)))))&
(![X]:((~strong(X)&creative(X))=>(~funny(X)&~happy(X))))&
((?[X]:((~quiet(X)|creative(X))))<=>(patient(john)))&
(![X]:(~rich(X)=>wise(X)))&
(![X]:((~funny(X)<~>~strong(X))=>~wise(X)))&
(![X]:(~quiet(X)=>(~wise(X)<~>patient(X))))&
(![X]:(~rich(X)<=>funny(... | ~strong(john) | [] | null | 0 |
Everyone who is not quiet is either quiet or tall and vice versa.
If john is either kind or humble then paul is both brave and tall and vice versa.
If someone is both not calm and not quiet then lucy is either funny or wise and vice versa.
If someone is patient then john is not calm or not strong.
Everyone who is not h... | Lucy is not kind. | contradiction | (![X]:(~quiet(X)<=>(quiet(X)<~>tall(X))))&
(((kind(john)<~>humble(john)))<=>((brave(paul)&tall(paul))))&
((?[X]:((~calm(X)&~quiet(X))))<=>((funny(lucy)<~>wise(lucy))))&
((?[X]:(patient(X)))=>((~calm(john)|~strong(john))))&
(![X]:((~happy(X)|~brave(X))<=>happy(X)))&
(![X]:(rich(X)=>(~wise(X)&strong(X))))&
((?[X]:(tall(X... | ~kind(lucy) | [
"p0",
"p4",
"p5",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6747622813337048817153707
% SZS output start Proof for 6747622813337048817153707
1. ! [X0] : (~quiet(X0) <=> (quiet(X0) <~> tall(X0))) [input p0]
5. ! [X0] : ((~brave(X0) | ~happy(X0)) <=> happy(X0)) [input p4]
6. ! [X0] : (rich(X0) => (strong(X0) & ~wise(X0))) [input p5]
10. ! [X0] : ((~... | 0 |
If john is both brave and not old then lucy is either not quiet or not funny and vice versa. Everyone who is both old and tall is brave or not old and vice versa. If paul is both not rich and strong then fred is old. Everyone who is both rich and not happy is generous. Everyone who is wise or brave is not quiet and vic... | Paul is not rich. | neutral | (((brave(john)&~old(john)))<=>((~quiet(lucy)<~>~funny(lucy))))&
(![X]:((old(X)&tall(X))<=>(brave(X)|~old(X))))&
(((~rich(paul)&strong(paul)))=>(old(fred)))&
(![X]:((rich(X)&~happy(X))=>generous(X)))&
(![X]:((wise(X)|brave(X))<=>~quiet(X)))&
(![X]:((curious(X)|~creative(X))<=>~kind(X)))&
((?[X]:((~brave(X)&~strong(X))))... | ~rich(paul) | [] | null | 0 |
Everyone who is both creative and not creative is either not tall or curious and vice versa.
If someone is generous then someone is either not generous or not rich.
If someone is not rich then lucy is both happy and not creative and vice versa.
If someone is either not rich or calm then paul is wise or calm.
If paul is... | Mary is rich. | contradiction | (![X]:((creative(X)&~creative(X))<=>(~tall(X)<~>curious(X))))&
((?[X]:(generous(X)))=>(?[X]:((~generous(X)<~>~rich(X)))))&
((?[X]:(~rich(X)))<=>((happy(lucy)&~creative(lucy))))&
((?[X]:((~rich(X)<~>calm(X))))=>((wise(paul)|calm(paul))))&
(((~patient(paul)|~kind(paul)))<=>(?[X]:(~generous(X))))&
(![X]:((wise(X)|rich(X))... | rich(mary) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2239333463149360885381406
% SZS output start Proof for 2239333463149360885381406
1. ! [X0] : ((~creative(X0) & creative(X0)) <=> (~tall(X0) <~> curious(X0))) [input p0]
6. ! [X0] : ((rich(X0) | wise(X0)) => (~tall(X0) <~> curious(X0))) [input p5]
24. rich(mary) [input hypothesis]
33. ! [X... | 0 |
Everyone who is generous is happy. Everyone who is not quiet or not kind is not rich or quiet and vice versa. Everyone who is generous or tall is patient or creative and vice versa. If someone is both old and quiet then alice is both not old and humble and vice versa. Everyone who is happy is not brave and vice versa. ... | Mary is happy. | entailment | (![X]:(generous(X)=>happy(X)))&
(![X]:((~quiet(X)|~kind(X))<=>(~rich(X)|quiet(X))))&
(![X]:((generous(X)|tall(X))<=>(patient(X)|creative(X))))&
((?[X]:((old(X)&quiet(X))))<=>((~old(alice)&humble(alice))))&
(![X]:(happy(X)<=>~brave(X)))&
(((brave(alice)&~kind(alice)))=>((~tall(john)&~strong(john))))&
(![X]:(~funny(X)=>(... | happy(mary) | [
"p0",
"p1",
"p2",
"p8",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 674374796234897115380253
% SZS output start Proof for 674374796234897115380253
1. ! [X0] : (generous(X0) => happy(X0)) [input p0]
2. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> (quiet(X0) | ~rich(X0))) [input p1]
3. ! [X0] : ((tall(X0) | generous(X0)) <=> (creative(X0) | patient(X0))) [input p... | 0 |
Everyone who is either calm or tall is not quiet.
Everyone who is either patient or brave is both not happy and wise.
If mary is tall then lucy is both not humble and happy.
If paul is both not happy and generous then someone is both not kind and wise.
Everyone who is quiet or tall is either rich or not funny.
Everyone... | Mary is not patient. | neutral | (![X]:((calm(X)<~>tall(X))=>~quiet(X)))&
(![X]:((patient(X)<~>brave(X))=>(~happy(X)&wise(X))))&
((tall(mary))=>((~humble(lucy)&happy(lucy))))&
(((~happy(paul)&generous(paul)))=>(?[X]:((~kind(X)&wise(X)))))&
(![X]:((quiet(X)|tall(X))=>(rich(X)<~>~funny(X))))&
(![X]:((wise(X)|~funny(X))=>(happy(X)&wise(X))))&
(((~kind(al... | ~patient(mary) | [] | null | 0 |
Everyone who is strong or not kind is either not kind or not happy and vice versa.
If someone is both creative and not patient then someone is both calm and not creative.
Everyone who is strong or brave is both not old and not wise.
Everyone who is either not funny or not happy is kind or wise and vice versa.
Everyone ... | Susan is brave. | contradiction | (![X]:((strong(X)|~kind(X))<=>(~kind(X)<~>~happy(X))))&
((?[X]:((creative(X)&~patient(X))))=>(?[X]:((calm(X)&~creative(X)))))&
(![X]:((strong(X)|brave(X))=>(~old(X)&~wise(X))))&
(![X]:((~funny(X)<~>~happy(X))<=>(kind(X)|wise(X))))&
(![X]:((humble(X)|strong(X))=>(humble(X)<~>funny(X))))&
(![X]:(kind(X)<=>(~strong(X)|~fu... | brave(susan) | [
"p0",
"p3",
"p5",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2532627638024435540884507
% SZS output start Proof for 2532627638024435540884507
1. ! [X0] : ((~kind(X0) | strong(X0)) <=> (~kind(X0) <~> ~happy(X0))) [input p0]
4. ! [X0] : ((~funny(X0) <~> ~happy(X0)) <=> (wise(X0) | kind(X0))) [input p3]
6. ! [X0] : (kind(X0) <=> (~funny(X0) | ~strong(... | 0 |
Everyone who is not happy or old is both not funny and not quiet.
Everyone who is both humble and curious is both not generous and calm and vice versa.
Everyone who is both not brave and not tall is either brave or not creative and vice versa.
Everyone who is not tall is either rich or not curious.
If someone is either... | John is not humble. | neutral | (![X]:((~happy(X)|old(X))=>(~funny(X)&~quiet(X))))&
(![X]:((humble(X)&curious(X))<=>(~generous(X)&calm(X))))&
(![X]:((~brave(X)&~tall(X))<=>(brave(X)<~>~creative(X))))&
(![X]:(~tall(X)=>(rich(X)<~>~curious(X))))&
((?[X]:((~tall(X)<~>~kind(X))))<=>((~humble(john)&old(john))))&
(![X]:((~kind(X)<~>creative(X))<=>(~kind(X)... | ~humble(john) | [] | null | 0 |
If susan is either creative or calm then someone is not brave or wise.
If someone is either humble or creative then someone is both not tall and kind.
Everyone who is both not strong and not quiet is not kind.
Everyone who is either happy or not old is not happy and vice versa.
If fred is either not quiet or curious th... | Fred is not funny. | contradiction | (((creative(susan)<~>calm(susan)))=>(?[X]:((~brave(X)|wise(X)))))&
((?[X]:((humble(X)<~>creative(X))))=>(?[X]:((~tall(X)&kind(X)))))&
(![X]:((~strong(X)&~quiet(X))=>~kind(X)))&
(![X]:((happy(X)<~>~old(X))<=>~happy(X)))&
(((~quiet(fred)<~>curious(fred)))<=>(?[X]:((calm(X)<~>~patient(X)))))&
(((~happy(alice)&quiet(alice)... | ~funny(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2710026485607896422722099
% SZS output start Proof for 2710026485607896422722099
7. ! [X0] : ((~funny(X0) | ~kind(X0)) <=> (rich(X0) & ~rich(X0))) [input p6]
22. ~funny(fred) [input hypothesis]
46. ! [X0] : (((~funny(X0) | ~kind(X0)) | (~rich(X0) | rich(X0))) & ((rich(X0) & ~rich(X0)) | (... | 0 |
Everyone who is both strong and not calm is not quiet and vice versa.
If paul is either not patient or not funny then lucy is both not quiet and curious.
If fred is curious then lucy is creative and vice versa.
If someone is quiet then someone is rich or not creative.
Everyone who is either not rich or not strong is st... | Paul is not patient. | neutral | (![X]:((strong(X)&~calm(X))<=>~quiet(X)))&
(((~patient(paul)<~>~funny(paul)))=>((~quiet(lucy)&curious(lucy))))&
((curious(fred))<=>(creative(lucy)))&
((?[X]:(quiet(X)))=>(?[X]:((rich(X)|~creative(X)))))&
(![X]:((~rich(X)<~>~strong(X))<=>strong(X)))&
(((~brave(susan)&~quiet(susan)))=>(?[X]:((brave(X)<~>~strong(X)))))&
(... | ~patient(paul) | [] | null | 0 |
If mary is not generous then someone is both not brave and calm. If someone is curious or quiet then someone is curious and vice versa. If lucy is either brave or quiet then someone is both funny and rich and vice versa. Everyone who is either not wise or curious is not wise or not strong and vice versa. Everyone who i... | Alice is not curious. | entailment | ((~generous(mary))=>(?[X]:((~brave(X)&calm(X)))))&
((?[X]:((curious(X)|quiet(X))))<=>(?[X]:(curious(X))))&
(((brave(lucy)<~>quiet(lucy)))<=>(?[X]:((funny(X)&rich(X)))))&
(![X]:((~wise(X)<~>curious(X))<=>(~wise(X)|~strong(X))))&
(![X]:((calm(X)|rich(X))<=>(~creative(X)|~rich(X))))&
(![X]:((happy(X)|creative(X))=>(curiou... | ~curious(alice) | [
"p4",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 473559512592051137414906
% SZS output start Proof for 473559512592051137414906
5. ! [X0] : ((rich(X0) | calm(X0)) <=> (~rich(X0) | ~creative(X0))) [input p4]
9. ! [X0] : ((~calm(X0) <~> ~curious(X0)) => (calm(X0) & ~funny(X0))) [input p8]
11. ! [X0] : ((~creative(X0) | wise(X0)) <=> ~stro... | 0 |
If fred is not happy or not rich then someone is quiet and vice versa. Everyone who is both not humble and calm is kind or calm. If someone is calm or not curious then someone is wise and vice versa. Everyone who is both not humble and not funny is both tall and not funny. If someone is either not tall or old then some... | Paul is calm. | entailment | (((~happy(fred)|~rich(fred)))<=>(?[X]:(quiet(X))))&
(![X]:((~humble(X)&calm(X))=>(kind(X)|calm(X))))&
((?[X]:((calm(X)|~curious(X))))<=>(?[X]:(wise(X))))&
(![X]:((~humble(X)&~funny(X))=>(tall(X)&~funny(X))))&
((?[X]:((~tall(X)<~>old(X))))<=>(?[X]:((brave(X)|humble(X)))))&
(((tall(lucy)|brave(lucy)))=>(?[X]:((patient(X)... | calm(paul) | [
"p2",
"p7",
"p10",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4212515552785518859979102
% SZS output start Proof for 4212515552785518859979102
3. ? [X0] : (~curious(X0) | calm(X0)) <=> ? [X0] : wise(X0) [input p2]
8. ! [X0] : ((old(X0) & funny(X0)) <=> (~calm(X0) & ~curious(X0))) [input p7]
11. ! [X0] : (~old(X0) <=> ~happy(X0)) [input p10]
13. ! [X... | 0 |
Everyone who is either rich or funny is either not happy or not funny and vice versa.
Everyone who is either not happy or quiet is not kind or curious.
Everyone who is both not calm and not funny is rich or not old and vice versa.
If john is either not tall or not calm then someone is humble or funny and vice versa.
If... | Mary is generous. | neutral | (![X]:((rich(X)<~>funny(X))<=>(~happy(X)<~>~funny(X))))&
(![X]:((~happy(X)<~>quiet(X))=>(~kind(X)|curious(X))))&
(![X]:((~calm(X)&~funny(X))<=>(rich(X)|~old(X))))&
(((~tall(john)<~>~calm(john)))<=>(?[X]:((humble(X)|funny(X)))))&
(((curious(mary)|creative(mary)))<=>(?[X]:(humble(X))))&
(![X]:((~generous(X)&~creative(X))... | generous(mary) | [] | null | 0 |
Everyone who is both funny and wise is either creative or wise and vice versa.
Everyone who is not old or not rich is strong or not funny.
If susan is not tall or not calm then mary is either humble or kind and vice versa.
If someone is not patient then someone is both curious and funny and vice versa.
Everyone who is ... | Alice is not creative. | entailment | (![X]:((funny(X)&wise(X))<=>(creative(X)<~>wise(X))))&
(![X]:((~old(X)|~rich(X))=>(strong(X)|~funny(X))))&
(((~tall(susan)|~calm(susan)))<=>((humble(mary)<~>kind(mary))))&
((?[X]:(~patient(X)))<=>(?[X]:((curious(X)&funny(X)))))&
(![X]:((~wise(X)<~>quiet(X))<=>brave(X)))&
((?[X]:((happy(X)&old(X))))<=>((wise(mary)&~humb... | ~creative(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9118404142613439937260351
% SZS output start Proof for 9118404142613439937260351
10. ! [X0] : ((rich(X0) <~> ~rich(X0)) => ~creative(X0)) [input p9]
25. creative(alice) [input hypothesis]
34. ! [X0] : (~creative(X0) | (rich(X0) <=> ~rich(X0))) [ennf transformation 10]
58. ! [X0] : (~creat... | 0 |
Everyone who is both kind and old is both old and not kind and vice versa.
Everyone who is both quiet and patient is either not generous or happy.
Everyone who is either not patient or not curious is both curious and not generous.
Everyone who is not happy or happy is funny and vice versa.
If someone is both not creati... | Alice is curious. | neutral | (![X]:((kind(X)&old(X))<=>(old(X)&~kind(X))))&
(![X]:((quiet(X)&patient(X))=>(~generous(X)<~>happy(X))))&
(![X]:((~patient(X)<~>~curious(X))=>(curious(X)&~generous(X))))&
(![X]:((~happy(X)|happy(X))<=>funny(X)))&
((?[X]:((~creative(X)&~curious(X))))=>(?[X]:((~humble(X)&creative(X)))))&
(((~kind(paul)&~strong(paul)))<=>... | curious(alice) | [] | null | 0 |
Everyone who is both not quiet and brave is either patient or kind.
Everyone who is either rich or not brave is either not tall or tall.
If someone is not wise then susan is old and vice versa.
Everyone who is not generous is both happy and old and vice versa.
If mary is either calm or not calm then someone is both str... | Alice is not tall. | contradiction | (![X]:((~quiet(X)&brave(X))=>(patient(X)<~>kind(X))))&
(![X]:((rich(X)<~>~brave(X))=>(~tall(X)<~>tall(X))))&
((?[X]:(~wise(X)))<=>(old(susan)))&
(![X]:(~generous(X)<=>(happy(X)&old(X))))&
(((calm(mary)<~>~calm(mary)))=>(?[X]:((strong(X)&~calm(X)))))&
((?[X]:((curious(X)&old(X))))=>(?[X]:((~tall(X)&~calm(X)))))&
(![X]:(... | ~tall(alice) | [
"p6",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1569808360817453790514190
% SZS output start Proof for 1569808360817453790514190
7. ! [X0] : (~kind(X0) => (strong(X0) & old(X0))) [input p6]
11. ! [X0] : ((patient(X0) | tall(X0)) <=> funny(X0)) [input p10]
12. ! [X0] : ((kind(X0) <~> ~funny(X0)) <=> ~patient(X0)) [input p11]
15. ! [X0] ... | 0 |
If alice is funny then someone is old.
If mary is both rich and not calm then someone is not tall and vice versa.
Everyone who is curious is quiet or not strong and vice versa.
Everyone who is either tall or not humble is either brave or quiet.
If someone is tall then fred is humble.
If fred is calm or strong then some... | Mary is tall. | entailment | ((funny(alice))=>(?[X]:(old(X))))&
(((rich(mary)&~calm(mary)))<=>(?[X]:(~tall(X))))&
(![X]:(curious(X)<=>(quiet(X)|~strong(X))))&
(![X]:((tall(X)<~>~humble(X))=>(brave(X)<~>quiet(X))))&
((?[X]:(tall(X)))=>(humble(fred)))&
(((calm(fred)|strong(fred)))<=>(?[X]:((wise(X)|~strong(X)))))&
(![X]:((curious(X)&rich(X))=>(~calm... | tall(mary) | [
"p1",
"p2",
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6021427247289898097602423
% SZS output start Proof for 6021427247289898097602423
2. (~calm(mary) & rich(mary)) <=> ? [X0] : ~tall(X0) [input p1]
3. ! [X0] : (curious(X0) <=> (~strong(X0) | quiet(X0))) [input p2]
7. ! [X0] : ((rich(X0) & curious(X0)) => (~calm(X0) <~> rich(X0))) [input p6]... | 0 |
If john is either strong or not old then mary is happy or not quiet.
If alice is tall then lucy is rich or funny and vice versa.
Everyone who is not humble or curious is not kind and vice versa.
Everyone who is both not humble and funny is not calm or calm and vice versa.
Everyone who is both not generous and brave is ... | Lucy is not generous. | neutral | (((strong(john)<~>~old(john)))=>((happy(mary)|~quiet(mary))))&
((tall(alice))<=>((rich(lucy)|funny(lucy))))&
(![X]:((~humble(X)|curious(X))<=>~kind(X)))&
(![X]:((~humble(X)&funny(X))<=>(~calm(X)|calm(X))))&
(![X]:((~generous(X)&brave(X))<=>~creative(X)))&
(![X]:((tall(X)|~curious(X))=>(~wise(X)|~happy(X))))&
((?[X]:((~... | ~generous(lucy) | [] | null | 0 |
If someone is not brave or quiet then fred is either wise or funny. If john is either not calm or not humble then someone is either not creative or not happy. If lucy is either rich or strong then alice is either not generous or not old and vice versa. Everyone who is both funny and patient is both not brave and not pa... | Paul is calm. | entailment | ((?[X]:((~brave(X)|quiet(X))))=>((wise(fred)<~>funny(fred))))&
(((~calm(john)<~>~humble(john)))=>(?[X]:((~creative(X)<~>~happy(X)))))&
(((rich(lucy)<~>strong(lucy)))<=>((~generous(alice)<~>~old(alice))))&
(![X]:((funny(X)&patient(X))=>(~brave(X)&~patient(X))))&
(![X]:((old(X)<~>rich(X))<=>(calm(X)<~>kind(X))))&
(((~fun... | calm(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1068851347055324911438982
% SZS output start Proof for 1068851347055324911438982
21. calm(paul) & rich(paul) [input p20]
24. ~calm(paul) [input hypothesis]
137. calm(paul) [cnf transformation 21]
142. ~calm(paul) [cnf transformation 24]
296. $false [subsumption resolution 142,137]
% SZS o... | 0 |
Everyone who is humble or quiet is both not humble and not brave and vice versa.
Everyone who is old is either not tall or not strong.
If fred is not wise or old then someone is not brave and vice versa.
Everyone who is wise or not funny is generous or not calm and vice versa.
If lucy is not rich or generous then lucy ... | Alice is quiet. | entailment | (![X]:((humble(X)|quiet(X))<=>(~humble(X)&~brave(X))))&
(![X]:(old(X)=>(~tall(X)<~>~strong(X))))&
(((~wise(fred)|old(fred)))<=>(?[X]:(~brave(X))))&
(![X]:((wise(X)|~funny(X))<=>(generous(X)|~calm(X))))&
(((~rich(lucy)|generous(lucy)))<=>(kind(lucy)))&
(![X]:((~rich(X)&~calm(X))=>(~strong(X)|tall(X))))&
(((~wise(john)|~... | quiet(alice) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5803081180999170426388425
% SZS output start Proof for 5803081180999170426388425
1. ! [X0] : ((quiet(X0) | humble(X0)) <=> (~brave(X0) & ~humble(X0))) [input p0]
9. ! [X0] : (quiet(X0) <=> (~brave(X0) <~> brave(X0))) [input p8]
24. ~quiet(alice) [input hypothesis]
33. ! [X0] : (((quiet(X0... | 0 |
Everyone who is not creative is brave or happy.
Everyone who is both not kind and strong is strong or calm.
Everyone who is not generous is either not creative or not funny and vice versa.
Everyone who is not creative or patient is both brave and not wise.
Everyone who is not patient or old is both not humble and happy... | Alice is tall. | contradiction | (![X]:(~creative(X)=>(brave(X)|happy(X))))&
(![X]:((~kind(X)&strong(X))=>(strong(X)|calm(X))))&
(![X]:(~generous(X)<=>(~creative(X)<~>~funny(X))))&
(![X]:((~creative(X)|patient(X))=>(brave(X)&~wise(X))))&
(![X]:((~patient(X)|old(X))=>(~humble(X)&happy(X))))&
(![X]:((~strong(X)<~>tall(X))=>~patient(X)))&
(![X]:((~wise(X... | tall(alice) | [
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8588223599398864565327253
% SZS output start Proof for 8588223599398864565327253
4. ! [X0] : ((patient(X0) | ~creative(X0)) => (~wise(X0) & brave(X0))) [input p3]
5. ! [X0] : ((old(X0) | ~patient(X0)) => (happy(X0) & ~humble(X0))) [input p4]
7. ! [X0] : ((happy(X0) | ~wise(X0)) => ~tall(X... | 0 |
Everyone who is not calm or not funny is not happy or old and vice versa. If someone is both not funny and not kind then someone is either not generous or not funny. Everyone who is both not rich and not wise is either wise or not happy and vice versa. If fred is not tall or not happy then john is not patient. Everyone... | Mary is happy. | entailment | (![X]:((~calm(X)|~funny(X))<=>(~happy(X)|old(X))))&
((?[X]:((~funny(X)&~kind(X))))=>(?[X]:((~generous(X)<~>~funny(X)))))&
(![X]:((~rich(X)&~wise(X))<=>(wise(X)<~>~happy(X))))&
(((~tall(fred)|~happy(fred)))=>(~patient(john)))&
(![X]:((happy(X)|curious(X))<=>(curious(X)|rich(X))))&
(![X]:((~funny(X)<~>funny(X))=>(curious... | happy(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 544401929849349898125639
% SZS output start Proof for 544401929849349898125639
9. ! [X0] : (happy(X0) <=> (~happy(X0) | ~humble(X0))) [input p8]
22. ~happy(mary) [input hypothesis]
53. ! [X0] : ((happy(X0) | (happy(X0) & humble(X0))) & ((~happy(X0) | ~humble(X0)) | ~happy(X0))) [nnf trans... | 0 |
Everyone who is either not old or happy is not old. Everyone who is both happy and not quiet is not curious or funny. Everyone who is both not strong and not kind is not wise and vice versa. Everyone who is patient is both happy and rich. If someone is both not rich and happy then someone is not tall or generous and vi... | Fred is old. | contradiction | (![X]:((~old(X)<~>happy(X))=>~old(X)))&
(![X]:((happy(X)&~quiet(X))=>(~curious(X)|funny(X))))&
(![X]:((~strong(X)&~kind(X))<=>~wise(X)))&
(![X]:(patient(X)=>(happy(X)&rich(X))))&
((?[X]:((~rich(X)&happy(X))))<=>(?[X]:((~tall(X)|generous(X)))))&
((?[X]:((happy(X)&~kind(X))))=>(?[X]:((~calm(X)&~brave(X)))))&
((?[X]:((~ol... | old(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 366566259840654428236357
% SZS output start Proof for 366566259840654428236357
10. ! [X0] : ((old(X0) | rich(X0)) => (old(X0) & ~old(X0))) [input p9]
24. old(fred) [input hypothesis]
37. ! [X0] : ((old(X0) & ~old(X0)) | (~old(X0) & ~rich(X0))) [ennf transformation 10]
97. ~old(X0) | ~old(... | 0 |
Everyone who is not curious or kind is not funny or brave and vice versa.
If susan is either strong or humble then susan is patient or not rich and vice versa.
If someone is either old or not brave then someone is both not wise and quiet.
Everyone who is both not generous and quiet is either not generous or patient and... | Lucy is funny. | entailment | (![X]:((~curious(X)|kind(X))<=>(~funny(X)|brave(X))))&
(((strong(susan)<~>humble(susan)))<=>((patient(susan)|~rich(susan))))&
((?[X]:((old(X)<~>~brave(X))))=>(?[X]:((~wise(X)&quiet(X)))))&
(![X]:((~generous(X)&quiet(X))<=>(~generous(X)<~>patient(X))))&
(![X]:((funny(X)&~curious(X))<=>(patient(X)|~funny(X))))&
(![X]:((k... | funny(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 415915520634623122279633
% SZS output start Proof for 415915520634623122279633
5. ! [X0] : ((~curious(X0) & funny(X0)) <=> (~funny(X0) | patient(X0))) [input p4]
23. ~funny(lucy) [input hypothesis]
45. ! [X0] : (((~curious(X0) & funny(X0)) | (funny(X0) & ~patient(X0))) & ((~funny(X0) | pa... | 0 |
Everyone who is not calm or not tall is tall and vice versa.
Everyone who is kind is either kind or happy and vice versa.
If someone is both kind and calm then someone is calm or quiet and vice versa.
Everyone who is not old is both old and funny and vice versa.
Everyone who is creative is both rich and not quiet and v... | Mary is old. | entailment | (![X]:((~calm(X)|~tall(X))<=>tall(X)))&
(![X]:(kind(X)<=>(kind(X)<~>happy(X))))&
((?[X]:((kind(X)&calm(X))))<=>(?[X]:((calm(X)|quiet(X)))))&
(![X]:(~old(X)<=>(old(X)&funny(X))))&
(![X]:(creative(X)<=>(rich(X)&~quiet(X))))&
((~rich(alice))=>(?[X]:(~creative(X))))&
((?[X]:((~calm(X)<~>~kind(X))))<=>(?[X]:((~patient(X)<~>... | old(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2448220761164723499388374
% SZS output start Proof for 2448220761164723499388374
4. ! [X0] : (~old(X0) <=> (funny(X0) & old(X0))) [input p3]
21. ~old(mary) [input hypothesis]
46. ! [X0] : ((~old(X0) | (~funny(X0) | ~old(X0))) & ((funny(X0) & old(X0)) | old(X0))) [nnf transformation 4]
47.... | 0 |
If someone is not rich or not creative then paul is happy or not calm and vice versa.
If lucy is not strong then fred is not quiet.
Everyone who is humble or generous is both creative and happy and vice versa.
Everyone who is both humble and not old is not humble.
Everyone who is both kind and not patient is not creati... | Lucy is not brave. | neutral | ((?[X]:((~rich(X)|~creative(X))))<=>((happy(paul)|~calm(paul))))&
((~strong(lucy))=>(~quiet(fred)))&
(![X]:((humble(X)|generous(X))<=>(creative(X)&happy(X))))&
(![X]:((humble(X)&~old(X))=>~humble(X)))&
(![X]:((kind(X)&~patient(X))<=>~creative(X)))&
(![X]:((funny(X)&~old(X))<=>(~creative(X)&wise(X))))&
(![X]:((rich(X)<~... | ~brave(lucy) | [] | null | 0 |
If someone is rich then fred is either creative or not humble and vice versa.
Everyone who is both not curious and rich is both not tall and creative.
Everyone who is either funny or kind is not generous and vice versa.
If alice is not creative or patient then someone is funny.
Everyone who is either humble or not rich... | Susan is not generous. | neutral | ((?[X]:(rich(X)))<=>((creative(fred)<~>~humble(fred))))&
(![X]:((~curious(X)&rich(X))=>(~tall(X)&creative(X))))&
(![X]:((funny(X)<~>kind(X))<=>~generous(X)))&
(((~creative(alice)|patient(alice)))=>(?[X]:(funny(X))))&
(![X]:((humble(X)<~>~rich(X))<=>~rich(X)))&
(![X]:((funny(X)<~>~humble(X))<=>strong(X)))&
((?[X]:((quie... | ~generous(susan) | [] | null | 0 |
Everyone who is both not generous and not creative is either brave or not brave and vice versa.
If someone is either tall or not old then fred is not old.
If mary is both not funny and rich then someone is not tall and vice versa.
If someone is humble then fred is not brave or not strong and vice versa.
If someone is b... | Mary is funny. | contradiction | (![X]:((~generous(X)&~creative(X))<=>(brave(X)<~>~brave(X))))&
((?[X]:((tall(X)<~>~old(X))))=>(~old(fred)))&
(((~funny(mary)&rich(mary)))<=>(?[X]:(~tall(X))))&
((?[X]:(humble(X)))<=>((~brave(fred)|~strong(fred))))&
((?[X]:((~calm(X)&~wise(X))))=>(?[X]:((strong(X)|~kind(X)))))&
((?[X]:((rich(X)<~>~quiet(X))))=>((~humble... | funny(mary) | [
"p0",
"p2",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6639843012384438937598626
% SZS output start Proof for 6639843012384438937598626
1. ! [X0] : ((~creative(X0) & ~generous(X0)) <=> (brave(X0) <~> ~brave(X0))) [input p0]
3. (rich(mary) & ~funny(mary)) <=> ? [X0] : ~tall(X0) [input p2]
11. ! [X0] : ((~tall(X0) <~> curious(X0)) <=> (~creativ... | 0 |
Everyone who is either kind or curious is either not kind or patient. If mary is either rich or happy then lucy is wise and vice versa. Everyone who is both quiet and not strong is happy or calm. Everyone who is not rich is not curious or old and vice versa. Everyone who is either not patient or kind is both not humble... | Paul is not quiet. | neutral | (![X]:((kind(X)<~>curious(X))=>(~kind(X)<~>patient(X))))&
(((rich(mary)<~>happy(mary)))<=>(wise(lucy)))&
(![X]:((quiet(X)&~strong(X))=>(happy(X)|calm(X))))&
(![X]:(~rich(X)<=>(~curious(X)|old(X))))&
(![X]:((~patient(X)<~>kind(X))<=>(~humble(X)&~old(X))))&
(![X]:((brave(X)<~>funny(X))<=>old(X)))&
(![X]:((~wise(X)|~old(X... | ~quiet(paul) | [] | null | 0 |
If mary is either wise or not humble then someone is not old or brave.
Everyone who is not creative is either not wise or not creative.
If fred is either not brave or funny then someone is either quiet or happy.
If someone is not wise or happy then someone is both creative and quiet and vice versa.
Everyone who is both... | John is not patient. | entailment | (((wise(mary)<~>~humble(mary)))=>(?[X]:((~old(X)|brave(X)))))&
(![X]:(~creative(X)=>(~wise(X)<~>~creative(X))))&
(((~brave(fred)<~>funny(fred)))=>(?[X]:((quiet(X)<~>happy(X)))))&
((?[X]:((~wise(X)|happy(X))))<=>(?[X]:((creative(X)&quiet(X)))))&
(![X]:((~patient(X)&curious(X))<=>~quiet(X)))&
((?[X]:((kind(X)&~funny(X)))... | ~patient(john) | [
"p1",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7501945802472566142310407
% SZS output start Proof for 7501945802472566142310407
2. ! [X0] : (~creative(X0) => (~wise(X0) <~> ~creative(X0))) [input p1]
7. ! [X0] : ((wise(X0) | ~kind(X0)) <=> (~wise(X0) <~> ~old(X0))) [input p6]
9. ! [X0] : ((~funny(X0) & funny(X0)) <=> ~old(X0)) [input ... | 0 |
If mary is both kind and humble then susan is both not creative and rich and vice versa.
If someone is curious then someone is both tall and rich.
Everyone who is both not curious and wise is either not creative or not brave and vice versa.
If someone is either quiet or not creative then alice is not funny and vice ver... | Susan is not generous. | neutral | (((kind(mary)&humble(mary)))<=>((~creative(susan)&rich(susan))))&
((?[X]:(curious(X)))=>(?[X]:((tall(X)&rich(X)))))&
(![X]:((~curious(X)&wise(X))<=>(~creative(X)<~>~brave(X))))&
((?[X]:((quiet(X)<~>~creative(X))))<=>(~funny(alice)))&
(![X]:((calm(X)<~>~tall(X))=>humble(X)))&
(![X]:((creative(X)<~>~old(X))=>(humble(X)<~... | ~generous(susan) | [] | null | 0 |
If alice is either not brave or not patient then alice is both not wise and not creative and vice versa.
Everyone who is not wise or curious is either not old or kind.
If someone is not generous then someone is not curious or old.
Everyone who is not creative is humble and vice versa.
Everyone who is both not quiet and... | Susan is not humble. | entailment | (((~brave(alice)<~>~patient(alice)))<=>((~wise(alice)&~creative(alice))))&
(![X]:((~wise(X)|curious(X))=>(~old(X)<~>kind(X))))&
((?[X]:(~generous(X)))=>(?[X]:((~curious(X)|old(X)))))&
(![X]:(~creative(X)<=>humble(X)))&
(![X]:((~quiet(X)&~rich(X))=>(strong(X)|rich(X))))&
(![X]:((~wise(X)&brave(X))<=>~kind(X)))&
((?[X]:(... | ~humble(susan) | [
"p3",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 756738259532015920051362
% SZS output start Proof for 756738259532015920051362
4. ! [X0] : (~creative(X0) <=> humble(X0)) [input p3]
7. ? [X0] : (patient(X0) <~> creative(X0)) => ? [X0] : (~funny(X0) & funny(X0)) [input p6]
8. ! [X0] : ((humble(X0) | ~tall(X0)) <=> patient(X0)) [input p7]... | 0 |
Everyone who is creative or not happy is kind and vice versa.
If someone is not old or humble then someone is kind.
Everyone who is both not tall and not kind is either not kind or rich.
Everyone who is both not old and not generous is both quiet and rich.
If paul is not generous then lucy is kind.
If paul is both humb... | John is rich. | contradiction | (![X]:((creative(X)|~happy(X))<=>kind(X)))&
((?[X]:((~old(X)|humble(X))))=>(?[X]:(kind(X))))&
(![X]:((~tall(X)&~kind(X))=>(~kind(X)<~>rich(X))))&
(![X]:((~old(X)&~generous(X))=>(quiet(X)&rich(X))))&
((~generous(paul))=>(kind(lucy)))&
(((humble(paul)&~strong(paul)))<=>(?[X]:(tall(X))))&
(![X]:((~kind(X)&~curious(X))<=>k... | rich(john) | [
"p1",
"p2",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2924405619095910406700471
% SZS output start Proof for 2924405619095910406700471
2. ? [X0] : (humble(X0) | ~old(X0)) => ? [X0] : kind(X0) [input p1]
3. ! [X0] : ((~kind(X0) & ~tall(X0)) => (~kind(X0) <~> rich(X0))) [input p2]
6. (~strong(paul) & humble(paul)) <=> ? [X0] : tall(X0) [input ... | 0 |
If mary is both old and not patient then john is either brave or not generous and vice versa.
Everyone who is either creative or patient is old or not funny and vice versa.
Everyone who is calm is both patient and not strong and vice versa.
Everyone who is strong is either happy or not calm.
Everyone who is both not pa... | Lucy is curious. | contradiction | (((old(mary)&~patient(mary)))<=>((brave(john)<~>~generous(john))))&
(![X]:((creative(X)<~>patient(X))<=>(old(X)|~funny(X))))&
(![X]:(calm(X)<=>(patient(X)&~strong(X))))&
(![X]:(strong(X)=>(happy(X)<~>~calm(X))))&
(![X]:((~patient(X)&~happy(X))=>(strong(X)|~generous(X))))&
(((~humble(john)&wise(john)))=>(?[X]:((~strong(... | curious(lucy) | [
"p1",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 244586538108448640818922
% SZS output start Proof for 244586538108448640818922
2. ! [X0] : ((creative(X0) <~> patient(X0)) <=> (~funny(X0) | old(X0))) [input p1]
9. ! [X0] : ((~rich(X0) | patient(X0)) <=> (rich(X0) & happy(X0))) [input p8]
10. ! [X0] : ((creative(X0) & wise(X0)) <=> (tall... | 0 |
Everyone who is rich is either not strong or not patient and vice versa.
If susan is brave then someone is not generous or happy and vice versa.
Everyone who is either not old or wise is both strong and not creative and vice versa.
Everyone who is not happy is both generous and wise.
If someone is both not funny and ha... | Paul is humble. | contradiction | (![X]:(rich(X)<=>(~strong(X)<~>~patient(X))))&
((brave(susan))<=>(?[X]:((~generous(X)|happy(X)))))&
(![X]:((~old(X)<~>wise(X))<=>(strong(X)&~creative(X))))&
(![X]:(~happy(X)=>(generous(X)&wise(X))))&
((?[X]:((~funny(X)&happy(X))))=>(?[X]:(~wise(X))))&
(![X]:(kind(X)=>(~curious(X)&generous(X))))&
(![X]:((~calm(X)<~>calm... | humble(paul) | [
"p0",
"p6",
"p7",
"p8",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5673425228001460787989111
% SZS output start Proof for 5673425228001460787989111
1. ! [X0] : (rich(X0) <=> (~strong(X0) <~> ~patient(X0))) [input p0]
7. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> (brave(X0) & ~patient(X0))) [input p6]
8. ! [X0] : ((~rich(X0) | brave(X0)) => calm(X0)) [input p... | 0 |
If fred is both not kind and curious then someone is happy or not wise and vice versa.
Everyone who is both not brave and tall is not quiet and vice versa.
Everyone who is either old or happy is patient.
If someone is both not happy and tall then someone is either not calm or not patient.
Everyone who is either not tal... | Fred is not kind. | entailment | (((~kind(fred)&curious(fred)))<=>(?[X]:((happy(X)|~wise(X)))))&
(![X]:((~brave(X)&tall(X))<=>~quiet(X)))&
(![X]:((old(X)<~>happy(X))=>patient(X)))&
((?[X]:((~happy(X)&tall(X))))=>(?[X]:((~calm(X)<~>~patient(X)))))&
(![X]:((~tall(X)<~>~curious(X))<=>(happy(X)|generous(X))))&
(![X]:((~wise(X)|~old(X))=>(happy(X)<~>quiet(... | ~kind(fred) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4934974593832828257506977
% SZS output start Proof for 4934974593832828257506977
20. ~funny(fred) & ~kind(fred) [input p19]
25. kind(fred) [input hypothesis]
152. ~kind(fred) [cnf transformation 20]
161. kind(fred) [cnf transformation 25]
183. 4 <=> kind(fred) [avatar definition]
337. ~4 ... | 0 |
If someone is not wise or not tall then someone is either curious or calm. If susan is both happy and rich then someone is not happy. Everyone who is either generous or happy is not tall and vice versa. If someone is both generous and not generous then alice is tall or not kind. If someone is both calm and quiet then s... | Lucy is not creative. | entailment | ((?[X]:((~wise(X)|~tall(X))))=>(?[X]:((curious(X)<~>calm(X)))))&
(((happy(susan)&rich(susan)))=>(?[X]:(~happy(X))))&
(![X]:((generous(X)<~>happy(X))<=>~tall(X)))&
((?[X]:((generous(X)&~generous(X))))=>((tall(alice)|~kind(alice))))&
((?[X]:((calm(X)&quiet(X))))<=>(?[X]:(strong(X))))&
(![X]:(old(X)<=>creative(X)))&
((?[X... | ~creative(lucy) | [
"p5",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4518638508820018860360825
% SZS output start Proof for 4518638508820018860360825
6. ! [X0] : (old(X0) <=> creative(X0)) [input p5]
9. ! [X0] : ((~old(X0) & ~generous(X0)) <=> (~rich(X0) | ~quiet(X0))) [input p8]
18. ~quiet(lucy) & ~wise(lucy) [input p17]
25. creative(lucy) [input hypothes... | 0 |
Everyone who is either not curious or patient is not generous and vice versa. Everyone who is both brave and not strong is either not curious or not happy and vice versa. Everyone who is not humble or brave is not patient or brave and vice versa. Everyone who is both tall and kind is not humble or curious and vice vers... | Alice is not strong. | entailment | (![X]:((~curious(X)<~>patient(X))<=>~generous(X)))&
(![X]:((brave(X)&~strong(X))<=>(~curious(X)<~>~happy(X))))&
(![X]:((~humble(X)|brave(X))<=>(~patient(X)|brave(X))))&
(![X]:((tall(X)&kind(X))<=>(~humble(X)|curious(X))))&
(((quiet(paul)&~rich(paul)))<=>((calm(susan)&tall(susan))))&
(![X]:((~calm(X)&creative(X))<=>rich... | ~strong(alice) | [
"p1",
"p3",
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2773812173525122443766593
% SZS output start Proof for 2773812173525122443766593
2. ! [X0] : ((~strong(X0) & brave(X0)) <=> (~curious(X0) <~> ~happy(X0))) [input p1]
4. ! [X0] : ((kind(X0) & tall(X0)) <=> (curious(X0) | ~humble(X0))) [input p3]
8. ! [X0] : ((happy(X0) <~> calm(X0)) <=> (t... | 0 |
Everyone who is both not happy and not rich is not happy or not patient.
If mary is not happy then someone is funny and vice versa.
Everyone who is not kind is either not tall or not funny.
If susan is humble then someone is either not curious or curious.
Everyone who is not wise is not patient and vice versa.
If someo... | Alice is not happy. | entailment | (![X]:((~happy(X)&~rich(X))=>(~happy(X)|~patient(X))))&
((~happy(mary))<=>(?[X]:(funny(X))))&
(![X]:(~kind(X)=>(~tall(X)<~>~funny(X))))&
((humble(susan))=>(?[X]:((~curious(X)<~>curious(X)))))&
(![X]:(~wise(X)<=>~patient(X)))&
((?[X]:((~patient(X)<~>funny(X))))=>(?[X]:((~rich(X)<~>funny(X)))))&
(![X]:((~strong(X)|old(X)... | ~happy(alice) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8368269805962137209213326
% SZS output start Proof for 8368269805962137209213326
7. ! [X0] : ((old(X0) | ~strong(X0)) => (~happy(X0) & calm(X0))) [input p6]
24. ~funny(alice) & ~strong(alice) [input p23]
25. happy(alice) [input hypothesis]
29. ! [X0] : (~strong(X0) => (~happy(X0) & calm(X... | 0 |
If paul is not quiet then mary is patient. Everyone who is both old and brave is rich and vice versa. If someone is creative then fred is generous and vice versa. If john is either rich or creative then alice is rich and vice versa. Everyone who is either not creative or not quiet is not humble or patient. If alice is ... | Lucy is old. | contradiction | ((~quiet(paul))=>(patient(mary)))&
(![X]:((old(X)&brave(X))<=>rich(X)))&
((?[X]:(creative(X)))<=>(generous(fred)))&
(((rich(john)<~>creative(john)))<=>(rich(alice)))&
(![X]:((~creative(X)<~>~quiet(X))=>(~humble(X)|patient(X))))&
(((happy(alice)|creative(alice)))<=>(?[X]:(~happy(X))))&
(![X]:((generous(X)|strong(X))<=>(... | old(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3932655798558131736387278
% SZS output start Proof for 3932655798558131736387278
11. (~generous(lucy) | generous(lucy)) <=> (humble(lucy) & ~old(lucy)) [input p10]
25. old(lucy) [input hypothesis]
55. ((~generous(lucy) | generous(lucy)) | (~humble(lucy) | old(lucy))) & ((humble(lucy) & ~o... | 0 |
If someone is not old or curious then alice is strong and vice versa. If lucy is old or not tall then fred is happy and vice versa. If lucy is both calm and patient then paul is curious or rich and vice versa. If paul is not brave then susan is wise. If fred is not strong then mary is patient and vice versa. If fred is... | Mary is not humble. | neutral | ((?[X]:((~old(X)|curious(X))))<=>(strong(alice)))&
(((old(lucy)|~tall(lucy)))<=>(happy(fred)))&
(((calm(lucy)&patient(lucy)))<=>((curious(paul)|rich(paul))))&
((~brave(paul))=>(wise(susan)))&
((~strong(fred))<=>(patient(mary)))&
(((calm(fred)&~kind(fred)))<=>((happy(paul)|~funny(paul))))&
(![X]:(~patient(X)=>(~happy(X)... | ~humble(mary) | [] | null | 0 |
Everyone who is both rich and not quiet is not calm or curious and vice versa.
Everyone who is not curious or not old is both old and brave.
If john is either not old or happy then someone is either not brave or quiet.
Everyone who is old is both wise and not rich and vice versa.
Everyone who is patient or old is both ... | Mary is not tall. | entailment | (![X]:((rich(X)&~quiet(X))<=>(~calm(X)|curious(X))))&
(![X]:((~curious(X)|~old(X))=>(old(X)&brave(X))))&
(((~old(john)<~>happy(john)))=>(?[X]:((~brave(X)<~>quiet(X)))))&
(![X]:(old(X)<=>(wise(X)&~rich(X))))&
(![X]:((patient(X)|old(X))=>(quiet(X)&~kind(X))))&
(![X]:((~patient(X)|~wise(X))<=>(quiet(X)<~>old(X))))&
(![X]:... | ~tall(mary) | [
"p0",
"p1",
"p3",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2928942145564455363887272
% SZS output start Proof for 2928942145564455363887272
1. ! [X0] : ((~quiet(X0) & rich(X0)) <=> (curious(X0) | ~calm(X0))) [input p0]
2. ! [X0] : ((~old(X0) | ~curious(X0)) => (brave(X0) & old(X0))) [input p1]
4. ! [X0] : (old(X0) <=> (~rich(X0) & wise(X0))) [inp... | 0 |
Everyone who is calm is both wise and brave.
If someone is not wise or not funny then john is either not quiet or funny and vice versa.
Everyone who is not happy is not strong.
Everyone who is creative or not generous is not funny or not curious.
Everyone who is creative is creative or not generous and vice versa.
Ever... | John is not strong. | neutral | (![X]:(calm(X)=>(wise(X)&brave(X))))&
((?[X]:((~wise(X)|~funny(X))))<=>((~quiet(john)<~>funny(john))))&
(![X]:(~happy(X)=>~strong(X)))&
(![X]:((creative(X)|~generous(X))=>(~funny(X)|~curious(X))))&
(![X]:(creative(X)<=>(creative(X)|~generous(X))))&
(![X]:(funny(X)<=>~tall(X)))&
(![X]:((~calm(X)|curious(X))<=>~brave(X))... | ~strong(john) | [] | null | 0 |
If someone is not curious or creative then susan is not generous and vice versa.
Everyone who is not kind or strong is both not generous and not calm and vice versa.
Everyone who is both funny and not strong is both not funny and not kind.
If someone is either patient or not humble then alice is either creative or calm... | Fred is not funny. | entailment | ((?[X]:((~curious(X)|creative(X))))<=>(~generous(susan)))&
(![X]:((~kind(X)|strong(X))<=>(~generous(X)&~calm(X))))&
(![X]:((funny(X)&~strong(X))=>(~funny(X)&~kind(X))))&
((?[X]:((patient(X)<~>~humble(X))))<=>((creative(alice)<~>calm(alice))))&
(((~happy(fred)<~>strong(fred)))<=>(?[X]:((rich(X)&~creative(X)))))&
(![X]:(... | ~funny(fred) | [
"p1",
"p2",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7750879504908477604436229
% SZS output start Proof for 7750879504908477604436229
2. ! [X0] : ((strong(X0) | ~kind(X0)) <=> (~calm(X0) & ~generous(X0))) [input p1]
3. ! [X0] : ((~strong(X0) & funny(X0)) => (~kind(X0) & ~funny(X0))) [input p2]
6. ! [X0] : ((~tall(X0) | tall(X0)) <=> old(X0)... | 0 |
If someone is not strong then paul is either not wise or tall.
Everyone who is humble or rich is patient.
Everyone who is either not quiet or wise is both not generous and not tall.
Everyone who is either creative or not happy is either humble or not creative.
Everyone who is either tall or brave is generous or not old... | John is not creative. | contradiction | ((?[X]:(~strong(X)))=>((~wise(paul)<~>tall(paul))))&
(![X]:((humble(X)|rich(X))=>patient(X)))&
(![X]:((~quiet(X)<~>wise(X))=>(~generous(X)&~tall(X))))&
(![X]:((creative(X)<~>~happy(X))=>(humble(X)<~>~creative(X))))&
(![X]:((tall(X)<~>brave(X))<=>(generous(X)|~old(X))))&
((?[X]:((~rich(X)|rich(X))))<=>(?[X]:((~generous(... | ~creative(john) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1882638723893725011599480
% SZS output start Proof for 1882638723893725011599480
20. creative(john) [input p19]
25. ~creative(john) [input hypothesis]
138. creative(john) [cnf transformation 20]
146. ~creative(john) [cnf transformation 25]
216. 14 <=> creative(john) [avatar definition]
27... | 0 |
Everyone who is not happy is creative and vice versa.
Everyone who is both not humble and not generous is not curious and vice versa.
If someone is both not creative and not old then paul is not curious or curious.
Everyone who is either not quiet or happy is either not rich or happy and vice versa.
If paul is either n... | Fred is tall. | neutral | (![X]:(~happy(X)<=>creative(X)))&
(![X]:((~humble(X)&~generous(X))<=>~curious(X)))&
((?[X]:((~creative(X)&~old(X))))=>((~curious(paul)|curious(paul))))&
(![X]:((~quiet(X)<~>happy(X))<=>(~rich(X)<~>happy(X))))&
(((~humble(paul)<~>brave(paul)))<=>(?[X]:((kind(X)|calm(X)))))&
((?[X]:((curious(X)<~>quiet(X))))<=>(?[X]:((~b... | tall(fred) | [] | null | 0 |
If someone is both kind and patient then someone is either not creative or not brave.
If alice is generous or not patient then mary is both strong and not humble and vice versa.
Everyone who is old is not funny or brave and vice versa.
Everyone who is not quiet or not kind is both rich and not old and vice versa.
Every... | Mary is not kind. | contradiction | ((?[X]:((kind(X)&patient(X))))=>(?[X]:((~creative(X)<~>~brave(X)))))&
(((generous(alice)|~patient(alice)))<=>((strong(mary)&~humble(mary))))&
(![X]:(old(X)<=>(~funny(X)|brave(X))))&
(![X]:((~quiet(X)|~kind(X))<=>(rich(X)&~old(X))))&
(![X]:((~happy(X)|~old(X))=>(patient(X)&quiet(X))))&
(((kind(lucy)<~>wise(lucy)))<=>(?[... | ~kind(mary) | [
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5577699468478790179495073
% SZS output start Proof for 5577699468478790179495073
9. ! [X0] : ((~calm(X0) | tall(X0)) => (kind(X0) & ~happy(X0))) [input p8]
15. ! [X0] : ((~happy(X0) | ~kind(X0)) => ~calm(X0)) [input p14]
18. ~kind(mary) [input hypothesis]
22. ! [X0] : ((kind(X0) & ~happy(... | 0 |
If fred is patient or happy then alice is either not curious or humble.
Everyone who is either patient or not rich is happy and vice versa.
Everyone who is patient is either not humble or tall.
Everyone who is not patient is both curious and wise and vice versa.
Everyone who is rich or happy is happy.
Everyone who is q... | Susan is kind. | contradiction | (((patient(fred)|happy(fred)))=>((~curious(alice)<~>humble(alice))))&
(![X]:((patient(X)<~>~rich(X))<=>happy(X)))&
(![X]:(patient(X)=>(~humble(X)<~>tall(X))))&
(![X]:(~patient(X)<=>(curious(X)&wise(X))))&
(![X]:((rich(X)|happy(X))=>happy(X)))&
(![X]:((quiet(X)|~kind(X))<=>old(X)))&
(![X]:((strong(X)&brave(X))=>(kind(X)... | kind(susan) | [
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4779948694072492114434359
% SZS output start Proof for 4779948694072492114434359
6. ! [X0] : ((~kind(X0) | quiet(X0)) <=> old(X0)) [input p5]
8. ? [X0] : (~funny(X0) | kind(X0)) <=> (~old(susan) & quiet(susan)) [input p7]
15. ! [X0] : ((~calm(X0) | ~quiet(X0)) => (~calm(X0) & old(X0))) [i... | 0 |
If john is not quiet then alice is not patient and vice versa.
If someone is patient then fred is both not patient and generous and vice versa.
If fred is both happy and not quiet then mary is not curious or not old.
Everyone who is both not kind and not generous is happy.
If someone is not funny then lucy is both rich... | Susan is humble. | entailment | ((~quiet(john))<=>(~patient(alice)))&
((?[X]:(patient(X)))<=>((~patient(fred)&generous(fred))))&
(((happy(fred)&~quiet(fred)))=>((~curious(mary)|~old(mary))))&
(![X]:((~kind(X)&~generous(X))=>happy(X)))&
((?[X]:(~funny(X)))=>((rich(lucy)&~creative(lucy))))&
(((~creative(lucy)|rich(lucy)))<=>(~tall(alice)))&
((?[X]:((~k... | humble(susan) | [
"p1",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4373394277652950512305768
% SZS output start Proof for 4373394277652950512305768
2. ? [X0] : patient(X0) <=> (generous(fred) & ~patient(fred)) [input p1]
13. ! [X0] : ((strong(X0) & humble(X0)) <=> (kind(X0) | patient(X0))) [input p12]
14. ? [X0] : (~kind(X0) <~> patient(X0)) => patient(f... | 0 |
Everyone who is not old or quiet is either not calm or humble and vice versa.
If mary is both tall and brave then someone is either not calm or not tall.
If someone is both not patient and strong then fred is both not happy and quiet and vice versa.
If lucy is not patient then someone is rich or not quiet and vice vers... | Fred is not humble. | contradiction | (![X]:((~old(X)|quiet(X))<=>(~calm(X)<~>humble(X))))&
(((tall(mary)&brave(mary)))=>(?[X]:((~calm(X)<~>~tall(X)))))&
((?[X]:((~patient(X)&strong(X))))<=>((~happy(fred)&quiet(fred))))&
((~patient(lucy))<=>(?[X]:((rich(X)|~quiet(X)))))&
((?[X]:(~funny(X)))<=>(?[X]:((brave(X)<~>~wise(X)))))&
(![X]:((old(X)<~>calm(X))<=>bra... | ~humble(fred) | [
"p0",
"p2",
"p3",
"p7",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5367665716099409016683360
% SZS output start Proof for 5367665716099409016683360
1. ! [X0] : ((quiet(X0) | ~old(X0)) <=> (~calm(X0) <~> humble(X0))) [input p0]
3. ? [X0] : (strong(X0) & ~patient(X0)) <=> (quiet(fred) & ~happy(fred)) [input p2]
4. ~patient(lucy) <=> ? [X0] : (~quiet(X0) | ... | 0 |
If someone is happy or calm then someone is not kind and vice versa.
Everyone who is both patient and not kind is not happy or not patient.
Everyone who is generous is old or calm and vice versa.
If someone is not wise or not creative then someone is both happy and not old.
If someone is not strong or not funny then fr... | John is humble. | entailment | ((?[X]:((happy(X)|calm(X))))<=>(?[X]:(~kind(X))))&
(![X]:((patient(X)&~kind(X))=>(~happy(X)|~patient(X))))&
(![X]:(generous(X)<=>(old(X)|calm(X))))&
((?[X]:((~wise(X)|~creative(X))))=>(?[X]:((happy(X)&~old(X)))))&
((?[X]:((~strong(X)|~funny(X))))=>((brave(fred)|~rich(fred))))&
(![X]:((calm(X)&~tall(X))<=>funny(X)))&
((... | humble(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8979891153634123134203286
% SZS output start Proof for 8979891153634123134203286
13. ! [X0] : (~patient(X0) <=> (~humble(X0) <~> ~patient(X0))) [input p12]
25. ~humble(john) [input hypothesis]
71. ! [X0] : ((~patient(X0) | ((~humble(X0) | patient(X0)) & (~patient(X0) | humble(X0)))) & (((... | 0 |
If alice is both creative and brave then someone is tall or funny and vice versa. If alice is not funny then john is either not quiet or funny. Everyone who is creative is either wise or not quiet. If someone is not quiet then someone is both strong and not happy and vice versa. Everyone who is both not brave and not c... | John is not humble. | entailment | (((creative(alice)&brave(alice)))<=>(?[X]:((tall(X)|funny(X)))))&
((~funny(alice))=>((~quiet(john)<~>funny(john))))&
(![X]:(creative(X)=>(wise(X)<~>~quiet(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((strong(X)&~happy(X)))))&
(![X]:((~brave(X)&~creative(X))=>old(X)))&
(![X]:(~tall(X)<=>(~patient(X)|quiet(X))))&
(![X]:((happy(X)... | ~humble(john) | [
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 370163970107482408769103
% SZS output start Proof for 370163970107482408769103
14. ~tall(mary) <=> ? [X0] : humble(X0) [input p13]
18. tall(mary) & ~generous(mary) [input p17]
23. humble(john) [input hypothesis]
68. (~tall(mary) | ! [X0] : ~humble(X0)) & (? [X0] : humble(X0) | tall(mary))... | 0 |
Everyone who is both calm and curious is wise or happy. If someone is both not calm and quiet then someone is not brave or not tall and vice versa. Everyone who is both not generous and kind is either not kind or not funny and vice versa. Everyone who is wise or quiet is both not curious and brave and vice versa. If so... | Mary is creative. | entailment | (![X]:((calm(X)&curious(X))=>(wise(X)|happy(X))))&
((?[X]:((~calm(X)&quiet(X))))<=>(?[X]:((~brave(X)|~tall(X)))))&
(![X]:((~generous(X)&kind(X))<=>(~kind(X)<~>~funny(X))))&
(![X]:((wise(X)|quiet(X))<=>(~curious(X)&brave(X))))&
((?[X]:((creative(X)<~>old(X))))=>(?[X]:((calm(X)&kind(X)))))&
(![X]:((~curious(X)&~old(X))=>... | creative(mary) | [
"p0",
"p2",
"p3",
"p4",
"p7",
"p8",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4643511049219752853600377
% SZS output start Proof for 4643511049219752853600377
1. ! [X0] : ((curious(X0) & calm(X0)) => (happy(X0) | wise(X0))) [input p0]
3. ! [X0] : ((kind(X0) & ~generous(X0)) <=> (~kind(X0) <~> ~funny(X0))) [input p2]
4. ! [X0] : ((quiet(X0) | wise(X0)) <=> (brave(X0... | 0 |
Everyone who is either not old or rich is both not calm and not old.
If paul is either not strong or not brave then someone is either not wise or brave.
Everyone who is not quiet is happy.
If john is either rich or not wise then paul is humble.
If someone is tall then someone is either old or wise.
If someone is old or... | Susan is brave. | neutral | (![X]:((~old(X)<~>rich(X))=>(~calm(X)&~old(X))))&
(((~strong(paul)<~>~brave(paul)))=>(?[X]:((~wise(X)<~>brave(X)))))&
(![X]:(~quiet(X)=>happy(X)))&
(((rich(john)<~>~wise(john)))=>(humble(paul)))&
((?[X]:(tall(X)))=>(?[X]:((old(X)<~>wise(X)))))&
((?[X]:((old(X)|~happy(X))))=>((curious(fred)&~brave(fred))))&
(![X]:((~hap... | brave(susan) | [] | null | 0 |
Everyone who is strong is not old or not tall.
Everyone who is not generous is either not kind or calm.
Everyone who is either not strong or not rich is not happy or not old and vice versa.
Everyone who is funny or patient is either not patient or rich and vice versa.
If someone is both wise and not generous then someo... | Lucy is rich. | neutral | (![X]:(strong(X)=>(~old(X)|~tall(X))))&
(![X]:(~generous(X)=>(~kind(X)<~>calm(X))))&
(![X]:((~strong(X)<~>~rich(X))<=>(~happy(X)|~old(X))))&
(![X]:((funny(X)|patient(X))<=>(~patient(X)<~>rich(X))))&
((?[X]:((wise(X)&~generous(X))))=>(?[X]:((patient(X)|~happy(X)))))&
(((~strong(mary)|~calm(mary)))<=>((~tall(fred)|happy(... | rich(lucy) | [] | null | 0 |
If fred is not humble or not quiet then john is not creative and vice versa.
If susan is both not funny and not patient then susan is both patient and brave and vice versa.
Everyone who is either calm or not brave is patient or humble.
If alice is either not happy or old then paul is not creative or rich.
Everyone who ... | Fred is not generous. | contradiction | (((~humble(fred)|~quiet(fred)))<=>(~creative(john)))&
(((~funny(susan)&~patient(susan)))<=>((patient(susan)&brave(susan))))&
(![X]:((calm(X)<~>~brave(X))=>(patient(X)|humble(X))))&
(((~happy(alice)<~>old(alice)))=>((~creative(paul)|rich(paul))))&
(![X]:(~generous(X)=>(happy(X)<~>~wise(X))))&
((?[X]:((~kind(X)|calm(X)))... | ~generous(fred) | [
"p8",
"p10",
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 864693945390735477572559
% SZS output start Proof for 864693945390735477572559
9. ! [X0] : ((quiet(X0) & ~humble(X0)) <=> (generous(X0) | ~funny(X0))) [input p8]
11. ! [X0] : (happy(X0) => ~happy(X0)) [input p10]
12. ! [X0] : ((~generous(X0) | ~calm(X0)) <=> (calm(X0) <~> ~happy(X0))) [in... | 0 |
If alice is both happy and generous then paul is either funny or not wise. If lucy is either calm or not strong then someone is not creative or quiet. Everyone who is either not calm or not kind is both happy and not curious. Everyone who is both not patient and strong is either not wise or not strong and vice versa. E... | Paul is not funny. | entailment | (((happy(alice)&generous(alice)))=>((funny(paul)<~>~wise(paul))))&
(((calm(lucy)<~>~strong(lucy)))=>(?[X]:((~creative(X)|quiet(X)))))&
(![X]:((~calm(X)<~>~kind(X))=>(happy(X)&~curious(X))))&
(![X]:((~patient(X)&strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:(funny(X)<=>~calm(X)))&
((rich(susan))<=>((~brave(john)&~calm(j... | ~funny(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1782934389394354656280425
% SZS output start Proof for 1782934389394354656280425
20. ~funny(paul) [input p19]
25. funny(paul) [input hypothesis]
139. ~funny(paul) [cnf transformation 20]
145. funny(paul) [cnf transformation 25]
377. $false [subsumption resolution 145,139]
% SZS output end... | 0 |
If lucy is brave then john is both calm and not curious and vice versa.
If someone is either not old or not kind then paul is either not funny or not brave.
Everyone who is not happy is either patient or not creative and vice versa.
If someone is patient then susan is not creative or not old and vice versa.
If john is ... | Alice is wise. | entailment | ((brave(lucy))<=>((calm(john)&~curious(john))))&
((?[X]:((~old(X)<~>~kind(X))))=>((~funny(paul)<~>~brave(paul))))&
(![X]:(~happy(X)<=>(patient(X)<~>~creative(X))))&
((?[X]:(patient(X)))<=>((~creative(susan)|~old(susan))))&
(((tall(john)&~kind(john)))=>((happy(paul)<~>~patient(paul))))&
(((old(john)<~>happy(john)))=>(?[... | wise(alice) | [
"p9",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2288430996793154882640167
% SZS output start Proof for 2288430996793154882640167
10. ! [X0] : (generous(X0) <=> (patient(X0) | ~brave(X0))) [input p9]
15. ! [X0] : ((wise(X0) <~> patient(X0)) <=> (~generous(X0) <~> ~rich(X0))) [input p14]
16. ! [X0] : ((generous(X0) | ~generous(X0)) => ~g... | 0 |
Everyone who is not old is either not tall or not brave and vice versa.
If someone is funny then someone is quiet or curious and vice versa.
Everyone who is old is either happy or patient and vice versa.
If susan is not wise or not creative then susan is either not rich or kind.
If paul is both not rich and tall then j... | Lucy is not old. | neutral | (![X]:(~old(X)<=>(~tall(X)<~>~brave(X))))&
((?[X]:(funny(X)))<=>(?[X]:((quiet(X)|curious(X)))))&
(![X]:(old(X)<=>(happy(X)<~>patient(X))))&
(((~wise(susan)|~creative(susan)))=>((~rich(susan)<~>kind(susan))))&
(((~rich(paul)&tall(paul)))=>((~funny(john)<~>~generous(john))))&
(((~humble(lucy)|~tall(lucy)))<=>(?[X]:((gene... | ~old(lucy) | [] | null | 0 |
Everyone who is curious is not generous and vice versa.
Everyone who is both old and not kind is not humble or generous and vice versa.
If paul is both humble and quiet then paul is either not funny or patient.
Everyone who is quiet is either not patient or rich.
If lucy is both calm and creative then someone is calm.
... | Paul is not brave. | neutral | (![X]:(curious(X)<=>~generous(X)))&
(![X]:((old(X)&~kind(X))<=>(~humble(X)|generous(X))))&
(((humble(paul)&quiet(paul)))=>((~funny(paul)<~>patient(paul))))&
(![X]:(quiet(X)=>(~patient(X)<~>rich(X))))&
(((calm(lucy)&creative(lucy)))=>(?[X]:(calm(X))))&
(![X]:((strong(X)|~happy(X))=>(~brave(X)&~wise(X))))&
((?[X]:(~brave... | ~brave(paul) | [] | null | 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... | Alice is not quiet. | neutral | ((~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... | ~quiet(alice) | [] | null | 0 |
Everyone who is wise or happy is both not generous and not tall.
If someone is both not old and creative then someone is both not tall and not quiet and vice versa.
Everyone who is not rich or calm is both rich and brave and vice versa.
If someone is not brave then someone is not quiet.
Everyone who is both not brave a... | Alice is generous. | neutral | (![X]:((wise(X)|happy(X))=>(~generous(X)&~tall(X))))&
((?[X]:((~old(X)&creative(X))))<=>(?[X]:((~tall(X)&~quiet(X)))))&
(![X]:((~rich(X)|calm(X))<=>(rich(X)&brave(X))))&
((?[X]:(~brave(X)))=>(?[X]:(~quiet(X))))&
(![X]:((~brave(X)&~creative(X))<=>(~patient(X)<~>brave(X))))&
(![X]:((quiet(X)&~brave(X))<=>funny(X)))&
(![X... | generous(alice) | [] | null | 0 |
If lucy is both wise and patient then someone is either old or strong.
Everyone who is either not wise or quiet is both not old and patient and vice versa.
If someone is happy then paul is not wise or strong.
If susan is brave or humble then someone is humble or rich and vice versa.
If someone is old then lucy is both ... | Mary is not happy. | entailment | (((wise(lucy)&patient(lucy)))=>(?[X]:((old(X)<~>strong(X)))))&
(![X]:((~wise(X)<~>quiet(X))<=>(~old(X)&patient(X))))&
((?[X]:(happy(X)))=>((~wise(paul)|strong(paul))))&
(((brave(susan)|humble(susan)))<=>(?[X]:((humble(X)|rich(X)))))&
((?[X]:(old(X)))<=>((patient(lucy)&wise(lucy))))&
(![X]:(curious(X)=>(rich(X)<~>~gener... | ~happy(mary) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 713954943412758390786698
% SZS output start Proof for 713954943412758390786698
14. ! [X0] : ((~tall(X0) & ~curious(X0)) <=> (patient(X0) | happy(X0))) [input p13]
16. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (calm(X0) | ~tall(X0))) [input p15]
21. happy(mary) [input hypothesis]
63. ! [X0... | 0 |
Everyone who is either not rich or not curious is not calm or not humble.
If john is both not tall and humble then alice is creative.
Everyone who is both not quiet and not humble is both kind and patient and vice versa.
Everyone who is either not old or rich is both not strong and not quiet.
Everyone who is either not... | John is patient. | contradiction | (![X]:((~rich(X)<~>~curious(X))=>(~calm(X)|~humble(X))))&
(((~tall(john)&humble(john)))=>(creative(alice)))&
(![X]:((~quiet(X)&~humble(X))<=>(kind(X)&patient(X))))&
(![X]:((~old(X)<~>rich(X))=>(~strong(X)&~quiet(X))))&
(![X]:((~funny(X)<~>~strong(X))<=>(calm(X)|wise(X))))&
(((~strong(john)<~>rich(john)))<=>(?[X]:(~quie... | patient(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 873070580143586233803629
% SZS output start Proof for 873070580143586233803629
7. ! [X0] : (curious(X0) <=> (curious(X0) <~> patient(X0))) [input p6]
24. patient(john) [input hypothesis]
48. ! [X0] : ((curious(X0) | ((curious(X0) | ~patient(X0)) & (patient(X0) | ~curious(X0)))) & (((~pati... | 0 |
If someone is both rich and creative then someone is calm.
If mary is curious or not brave then susan is patient.
Everyone who is not quiet is old and vice versa.
If paul is either tall or brave then paul is generous and vice versa.
If paul is not happy or happy then john is both not humble and not strong and vice vers... | John is not tall. | neutral | ((?[X]:((rich(X)&creative(X))))=>(?[X]:(calm(X))))&
(((curious(mary)|~brave(mary)))=>(patient(susan)))&
(![X]:(~quiet(X)<=>old(X)))&
(((tall(paul)<~>brave(paul)))<=>(generous(paul)))&
(((~happy(paul)|happy(paul)))<=>((~humble(john)&~strong(john))))&
(((~quiet(lucy)<~>~curious(lucy)))=>((happy(lucy)|kind(lucy))))&
(![X]... | ~tall(john) | [] | null | 0 |
Everyone who is not kind is not patient or not strong and vice versa.
Everyone who is not old is either not curious or old.
If someone is both not rich and not generous then alice is not strong.
Everyone who is happy or not curious is either brave or not humble and vice versa.
If lucy is quiet or not wise then someone ... | Alice is not generous. | neutral | (![X]:(~kind(X)<=>(~patient(X)|~strong(X))))&
(![X]:(~old(X)=>(~curious(X)<~>old(X))))&
((?[X]:((~rich(X)&~generous(X))))=>(~strong(alice)))&
(![X]:((happy(X)|~curious(X))<=>(brave(X)<~>~humble(X))))&
(((quiet(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~creative(X)|quiet(X))<=>(~creative(X)&quiet(X))))... | ~generous(alice) | [] | null | 0 |
If someone is brave then fred is both calm and not quiet and vice versa.
Everyone who is either not brave or creative is both not wise and kind and vice versa.
If lucy is either not kind or not creative then paul is either not humble or not tall and vice versa.
Everyone who is old is not happy or wise and vice versa.
E... | Lucy is rich. | entailment | ((?[X]:(brave(X)))<=>((calm(fred)&~quiet(fred))))&
(![X]:((~brave(X)<~>creative(X))<=>(~wise(X)&kind(X))))&
(((~kind(lucy)<~>~creative(lucy)))<=>((~humble(paul)<~>~tall(paul))))&
(![X]:(old(X)<=>(~happy(X)|wise(X))))&
(![X]:((~funny(X)&calm(X))=>(~tall(X)|~brave(X))))&
((?[X]:(creative(X)))=>((~generous(lucy)<~>kind(lu... | rich(lucy) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4297839864325829592587533
% SZS output start Proof for 4297839864325829592587533
4. ! [X0] : (old(X0) <=> (wise(X0) | ~happy(X0))) [input p3]
8. (tall(lucy) & rich(lucy)) <=> (happy(mary) | old(mary)) [input p7]
25. ~rich(lucy) [input hypothesis]
47. ! [X0] : ((old(X0) | (~wise(X0) & happ... | 0 |
Everyone who is patient is either patient or not old.
If someone is not kind then someone is either generous or not curious.
If susan is either not funny or not rich then someone is either not happy or not strong.
If someone is happy or not creative then someone is both quiet and generous and vice versa.
If mary is not... | Mary is patient. | contradiction | (![X]:(patient(X)=>(patient(X)<~>~old(X))))&
((?[X]:(~kind(X)))=>(?[X]:((generous(X)<~>~curious(X)))))&
(((~funny(susan)<~>~rich(susan)))=>(?[X]:((~happy(X)<~>~strong(X)))))&
((?[X]:((happy(X)|~creative(X))))<=>(?[X]:((quiet(X)&generous(X)))))&
((~creative(mary))<=>((funny(fred)<~>~old(fred))))&
(![X]:((~tall(X)|~brave... | patient(mary) | [
"p0",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2834792118107678095187338
% SZS output start Proof for 2834792118107678095187338
1. ! [X0] : (patient(X0) => (patient(X0) <~> ~old(X0))) [input p0]
13. ! [X0] : (~creative(X0) <=> (~patient(X0) <~> ~happy(X0))) [input p12]
14. ! [X0] : ((rich(X0) | ~kind(X0)) <=> happy(X0)) [input p13]
16... | 0 |
If fred is tall then someone is either tall or creative and vice versa.
If lucy is not happy then someone is rich.
Everyone who is generous or not rich is either funny or not humble.
Everyone who is creative is either not creative or not calm and vice versa.
If lucy is both tall and not calm then john is either not tal... | Lucy is strong. | neutral | ((tall(fred))<=>(?[X]:((tall(X)<~>creative(X)))))&
((~happy(lucy))=>(?[X]:(rich(X))))&
(![X]:((generous(X)|~rich(X))=>(funny(X)<~>~humble(X))))&
(![X]:(creative(X)<=>(~creative(X)<~>~calm(X))))&
(((tall(lucy)&~calm(lucy)))=>((~tall(john)<~>quiet(john))))&
((?[X]:((wise(X)<~>~tall(X))))<=>(?[X]:((generous(X)&~funny(X)))... | strong(lucy) | [] | null | 0 |
Everyone who is either not calm or quiet is both not happy and calm.
Everyone who is both patient and old is both curious and calm.
Everyone who is not brave or quiet is not strong and vice versa.
If fred is either not quiet or not kind then susan is either kind or not humble and vice versa.
If john is not happy then s... | John is not curious. | entailment | (![X]:((~calm(X)<~>quiet(X))=>(~happy(X)&calm(X))))&
(![X]:((patient(X)&old(X))=>(curious(X)&calm(X))))&
(![X]:((~brave(X)|quiet(X))<=>~strong(X)))&
(((~quiet(fred)<~>~kind(fred)))<=>((kind(susan)<~>~humble(susan))))&
((~happy(john))=>(?[X]:((~happy(X)&rich(X)))))&
(![X]:((~tall(X)&quiet(X))=>(rich(X)&~curious(X))))&
(... | ~curious(john) | [
"p0",
"p5",
"p8",
"p12",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3585115745536416769975580
% SZS output start Proof for 3585115745536416769975580
1. ! [X0] : ((~calm(X0) <~> quiet(X0)) => (calm(X0) & ~happy(X0))) [input p0]
6. ! [X0] : ((quiet(X0) & ~tall(X0)) => (~curious(X0) & rich(X0))) [input p5]
9. (~calm(susan) & ~tall(susan)) <=> ? [X0] : calm(X... | 0 |
Everyone who is humble or not brave is brave. Everyone who is not patient or not funny is both not creative and funny. Everyone who is curious is both curious and old. If fred is both funny and creative then alice is not rich. If someone is curious then someone is not creative. Everyone who is not strong is either not ... | Fred is brave. | entailment | (![X]:((humble(X)|~brave(X))=>brave(X)))&
(![X]:((~patient(X)|~funny(X))=>(~creative(X)&funny(X))))&
(![X]:(curious(X)=>(curious(X)&old(X))))&
(((funny(fred)&creative(fred)))=>(~rich(alice)))&
((?[X]:(curious(X)))=>(?[X]:(~creative(X))))&
(![X]:(~strong(X)<=>(~kind(X)<~>calm(X))))&
(((~strong(fred)|~quiet(fred)))<=>((~... | brave(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7658108038403601560142706
% SZS output start Proof for 7658108038403601560142706
1. ! [X0] : ((~brave(X0) | humble(X0)) => brave(X0)) [input p0]
22. ~brave(fred) [input hypothesis]
27. ! [X0] : (brave(X0) | (brave(X0) & ~humble(X0))) [ennf transformation 1]
73. brave(X0) | brave(X0) [cnf ... | 0 |
Everyone who is both not rich and calm is funny or not patient and vice versa.
If mary is patient or not tall then someone is curious or not calm and vice versa.
If lucy is old or not quiet then alice is either not wise or not curious and vice versa.
Everyone who is both kind and not kind is old and vice versa.
If some... | Mary is not old. | entailment | (![X]:((~rich(X)&calm(X))<=>(funny(X)|~patient(X))))&
(((patient(mary)|~tall(mary)))<=>(?[X]:((curious(X)|~calm(X)))))&
(((old(lucy)|~quiet(lucy)))<=>((~wise(alice)<~>~curious(alice))))&
(![X]:((kind(X)&~kind(X))<=>old(X)))&
((?[X]:((funny(X)<~>curious(X))))<=>(?[X]:((~generous(X)&brave(X)))))&
(![X]:(brave(X)=>strong(... | ~old(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5533857845772448978886807
% SZS output start Proof for 5533857845772448978886807
4. ! [X0] : ((~kind(X0) & kind(X0)) <=> old(X0)) [input p3]
25. old(mary) [input hypothesis]
45. ! [X0] : (((~kind(X0) & kind(X0)) | ~old(X0)) & (old(X0) | (kind(X0) | ~kind(X0)))) [nnf transformation 4]
46. ... | 0 |
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