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 creative or not humble is both not curious and not humble and vice versa.
Everyone who is both not calm and not tall is old.
Everyone who is both not creative and not rich is not curious.
If someone is either not patient or humble then susan is both generous and kind and vice versa.
If lucy i... | John is creative. | entailment | (![X]:((~creative(X)<~>~humble(X))<=>(~curious(X)&~humble(X))))&
(![X]:((~calm(X)&~tall(X))=>old(X)))&
(![X]:((~creative(X)&~rich(X))=>~curious(X)))&
((?[X]:((~patient(X)<~>humble(X))))<=>((generous(susan)&kind(susan))))&
(((~calm(lucy)&generous(lucy)))=>(?[X]:(~happy(X))))&
(![X]:((~creative(X)&brave(X))<=>(~tall(X)&~... | creative(john) | [
"p0",
"p3",
"p6",
"p8",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 411694298112899757429732
% SZS output start Proof for 411694298112899757429732
1. ! [X0] : ((~creative(X0) <~> ~humble(X0)) <=> (~humble(X0) & ~curious(X0))) [input p0]
4. ? [X0] : (~patient(X0) <~> humble(X0)) <=> (kind(susan) & generous(susan)) [input p3]
7. ! [X0] : ((wise(X0) | ~tall(... | 0 |
Everyone who is funny or not calm is not happy or not wise.
Everyone who is not humble is rich and vice versa.
If alice is rich then susan is wise or not quiet.
If alice is both not funny and quiet then someone is either funny or wise.
If susan is not wise then mary is kind and vice versa.
Everyone who is both not wise... | Susan is happy. | neutral | (![X]:((funny(X)|~calm(X))=>(~happy(X)|~wise(X))))&
(![X]:(~humble(X)<=>rich(X)))&
((rich(alice))=>((wise(susan)|~quiet(susan))))&
(((~funny(alice)&quiet(alice)))=>(?[X]:((funny(X)<~>wise(X)))))&
((~wise(susan))<=>(kind(mary)))&
(![X]:((~wise(X)&calm(X))<=>~old(X)))&
((?[X]:((humble(X)<~>~patient(X))))<=>(?[X]:((happy(... | happy(susan) | [] | null | 0 |
Everyone who is either tall or not generous is not happy or not creative and vice versa.
If someone is not patient or quiet then someone is not calm or not old.
If alice is not kind then someone is either funny or strong and vice versa.
If someone is not humble then paul is either quiet or not kind.
Everyone who is str... | Fred is calm. | neutral | (![X]:((tall(X)<~>~generous(X))<=>(~happy(X)|~creative(X))))&
((?[X]:((~patient(X)|quiet(X))))=>(?[X]:((~calm(X)|~old(X)))))&
((~kind(alice))<=>(?[X]:((funny(X)<~>strong(X)))))&
((?[X]:(~humble(X)))=>((quiet(paul)<~>~kind(paul))))&
(![X]:(strong(X)<=>(humble(X)|~strong(X))))&
((?[X]:((kind(X)<~>~curious(X))))<=>((~wise... | calm(fred) | [] | null | 0 |
If alice is wise or not patient then john is either not brave or not tall.
Everyone who is funny is not curious or strong and vice versa.
Everyone who is either not humble or not calm is curious.
If alice is not funny then someone is both curious and strong and vice versa.
Everyone who is not tall or calm is either not... | Alice is funny. | neutral | (((wise(alice)|~patient(alice)))=>((~brave(john)<~>~tall(john))))&
(![X]:(funny(X)<=>(~curious(X)|strong(X))))&
(![X]:((~humble(X)<~>~calm(X))=>curious(X)))&
((~funny(alice))<=>(?[X]:((curious(X)&strong(X)))))&
(![X]:((~tall(X)|calm(X))=>(~tall(X)<~>~humble(X))))&
(((kind(paul)<~>~old(paul)))<=>((~wise(fred)<~>old(fred... | funny(alice) | [] | null | 0 |
Everyone who is not humble or brave is not quiet or not humble.
If paul is both not generous and rich then john is either not kind or calm.
Everyone who is not calm is wise or creative and vice versa.
If someone is either not patient or not kind then fred is tall.
Everyone who is both humble and kind is both not funny ... | Mary is not generous. | contradiction | (![X]:((~humble(X)|brave(X))=>(~quiet(X)|~humble(X))))&
(((~generous(paul)&rich(paul)))=>((~kind(john)<~>calm(john))))&
(![X]:(~calm(X)<=>(wise(X)|creative(X))))&
((?[X]:((~patient(X)<~>~kind(X))))=>(tall(fred)))&
(![X]:((humble(X)&kind(X))<=>(~funny(X)&tall(X))))&
(![X]:((old(X)&~old(X))<=>(rich(X)&funny(X))))&
((?[X]... | ~generous(mary) | [
"p2",
"p5",
"p6",
"p8",
"p9",
"p12",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 550836960526038396136101
% SZS output start Proof for 550836960526038396136101
3. ! [X0] : (~calm(X0) <=> (creative(X0) | wise(X0))) [input p2]
6. ! [X0] : ((~old(X0) & old(X0)) <=> (funny(X0) & rich(X0))) [input p5]
7. ? [X0] : (~wise(X0) <~> ~funny(X0)) => (~happy(mary) & ~humble(mary))... | 0 |
If fred is wise then someone is not tall or brave.
Everyone who is either brave or not old is creative and vice versa.
Everyone who is both humble and brave is not calm or quiet and vice versa.
If someone is strong then paul is brave or not curious.
If susan is either not curious or not strong then susan is happy or no... | Susan is humble. | entailment | ((wise(fred))=>(?[X]:((~tall(X)|brave(X)))))&
(![X]:((brave(X)<~>~old(X))<=>creative(X)))&
(![X]:((humble(X)&brave(X))<=>(~calm(X)|quiet(X))))&
((?[X]:(strong(X)))=>((brave(paul)|~curious(paul))))&
(((~curious(susan)<~>~strong(susan)))=>((happy(susan)|~strong(susan))))&
(![X]:((~brave(X)|~rich(X))<=>(old(X)&rich(X))))&... | humble(susan) | [
"p1",
"p2",
"p5",
"p6",
"p7",
"p9",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1093530559467982770945574
% SZS output start Proof for 1093530559467982770945574
2. ! [X0] : ((brave(X0) <~> ~old(X0)) <=> creative(X0)) [input p1]
3. ! [X0] : ((brave(X0) & humble(X0)) <=> (quiet(X0) | ~calm(X0))) [input p2]
6. ! [X0] : ((~rich(X0) | ~brave(X0)) <=> (rich(X0) & old(X0)))... | 0 |
If someone is either not curious or not old then lucy is not patient or strong and vice versa.
Everyone who is not wise is either not tall or tall and vice versa.
Everyone who is not funny or creative is either wise or happy.
If someone is either not brave or not funny then someone is either generous or not tall.
If so... | John is strong. | entailment | ((?[X]:((~curious(X)<~>~old(X))))<=>((~patient(lucy)|strong(lucy))))&
(![X]:(~wise(X)<=>(~tall(X)<~>tall(X))))&
(![X]:((~funny(X)|creative(X))=>(wise(X)<~>happy(X))))&
((?[X]:((~brave(X)<~>~funny(X))))=>(?[X]:((generous(X)<~>~tall(X)))))&
((?[X]:((~calm(X)|~tall(X))))=>(?[X]:((humble(X)<~>~humble(X)))))&
(![X]:((~rich(... | strong(john) | [
"p1",
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1946985120080681509695127
% SZS output start Proof for 1946985120080681509695127
2. ! [X0] : (~wise(X0) <=> (~tall(X0) <~> tall(X0))) [input p1]
7. ! [X0] : ((wise(X0) <~> funny(X0)) <=> calm(X0)) [input p6]
9. ? [X0] : (quiet(X0) <~> funny(X0)) => ~quiet(alice) [input p8]
12. ! [X0] : ((... | 0 |
Everyone who is patient or curious is not kind or tall and vice versa.
If alice is both kind and rich then someone is both curious and not patient and vice versa.
If someone is both not happy and not brave then susan is both curious and not humble and vice versa.
Everyone who is not humble is both not wise and not brav... | Alice is not tall. | contradiction | (![X]:((patient(X)|curious(X))<=>(~kind(X)|tall(X))))&
(((kind(alice)&rich(alice)))<=>(?[X]:((curious(X)&~patient(X)))))&
((?[X]:((~happy(X)&~brave(X))))<=>((curious(susan)&~humble(susan))))&
(![X]:(~humble(X)<=>(~wise(X)&~brave(X))))&
(![X]:((~happy(X)<~>~quiet(X))=>(creative(X)<~>tall(X))))&
(![X]:((patient(X)&funny(... | ~tall(alice) | [
"p0",
"p1",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4598201279267343235753441
% SZS output start Proof for 4598201279267343235753441
1. ! [X0] : ((curious(X0) | patient(X0)) <=> (tall(X0) | ~kind(X0))) [input p0]
2. (rich(alice) & kind(alice)) <=> ? [X0] : (~patient(X0) & curious(X0)) [input p1]
15. ! [X0] : ((happy(X0) & ~brave(X0)) <=> (... | 0 |
Everyone who is not humble or rich is generous.
Everyone who is not generous or not rich is brave.
If someone is both calm and rich then susan is either not rich or not wise and vice versa.
If paul is either generous or old then someone is wise and vice versa.
Everyone who is quiet or not calm is both not strong and no... | Susan is calm. | entailment | (![X]:((~humble(X)|rich(X))=>generous(X)))&
(![X]:((~generous(X)|~rich(X))=>brave(X)))&
((?[X]:((calm(X)&rich(X))))<=>((~rich(susan)<~>~wise(susan))))&
(((generous(paul)<~>old(paul)))<=>(?[X]:(wise(X))))&
(![X]:((quiet(X)|~calm(X))<=>(~strong(X)&~rich(X))))&
(![X]:((~patient(X)<~>tall(X))<=>~generous(X)))&
(![X]:((kind... | calm(susan) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p8",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4599995411244230613106407
% SZS output start Proof for 4599995411244230613106407
1. ! [X0] : ((rich(X0) | ~humble(X0)) => generous(X0)) [input p0]
4. (generous(paul) <~> old(paul)) <=> ? [X0] : wise(X0) [input p3]
5. ! [X0] : ((~calm(X0) | quiet(X0)) <=> (~rich(X0) & ~strong(X0))) [input ... | 0 |
If paul is both not happy and not humble then someone is not humble. If fred is funny then paul is humble or not generous. Everyone who is not curious is curious or kind and vice versa. Everyone who is quiet is not old or not kind and vice versa. If mary is either brave or not humble then susan is creative. Everyone wh... | Alice is not happy. | neutral | (((~happy(paul)&~humble(paul)))=>(?[X]:(~humble(X))))&
((funny(fred))=>((humble(paul)|~generous(paul))))&
(![X]:(~curious(X)<=>(curious(X)|kind(X))))&
(![X]:(quiet(X)<=>(~old(X)|~kind(X))))&
(((brave(mary)<~>~humble(mary)))=>(creative(susan)))&
(![X]:(happy(X)<=>(kind(X)&calm(X))))&
(![X]:(kind(X)<=>(~wise(X)|~old(X)))... | ~happy(alice) | [] | null | 0 |
If someone is either not kind or rich then someone is both creative and rich and vice versa. If someone is not quiet then someone is either humble or not strong. Everyone who is both calm and wise is both kind and patient and vice versa. If lucy is both rich and not rich then someone is both not wise and kind. If lucy ... | Alice is not quiet. | contradiction | ((?[X]:((~kind(X)<~>rich(X))))<=>(?[X]:((creative(X)&rich(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((humble(X)<~>~strong(X)))))&
(![X]:((calm(X)&wise(X))<=>(kind(X)&patient(X))))&
(((rich(lucy)&~rich(lucy)))=>(?[X]:((~wise(X)&kind(X)))))&
((~quiet(lucy))<=>((curious(susan)&~wise(susan))))&
((?[X]:((humble(X)|funny(X))))=>(?[... | ~quiet(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5735929613222480715482411
% SZS output start Proof for 5735929613222480715482411
13. ! [X0] : ((~patient(X0) & patient(X0)) <=> ~quiet(X0)) [input p12]
25. ~quiet(alice) [input hypothesis]
71. ! [X0] : (((~patient(X0) & patient(X0)) | quiet(X0)) & (~quiet(X0) | (patient(X0) | ~patient(X0)... | 0 |
Everyone who is not old is either not generous or funny.
If someone is not quiet or not generous then someone is either rich or not funny.
Everyone who is quiet is both generous and happy and vice versa.
Everyone who is both rich and brave is kind or curious and vice versa.
If someone is old then fred is either humble ... | Mary is not strong. | entailment | (![X]:(~old(X)=>(~generous(X)<~>funny(X))))&
((?[X]:((~quiet(X)|~generous(X))))=>(?[X]:((rich(X)<~>~funny(X)))))&
(![X]:(quiet(X)<=>(generous(X)&happy(X))))&
(![X]:((rich(X)&brave(X))<=>(kind(X)|curious(X))))&
((?[X]:(old(X)))<=>((humble(fred)<~>quiet(fred))))&
(![X]:((brave(X)&kind(X))<=>(~calm(X)|strong(X))))&
(![X]:... | ~strong(mary) | [
"p2",
"p5",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6342743253076097866873883
% SZS output start Proof for 6342743253076097866873883
3. ! [X0] : (quiet(X0) <=> (happy(X0) & generous(X0))) [input p2]
6. ! [X0] : ((kind(X0) & brave(X0)) <=> (strong(X0) | ~calm(X0))) [input p5]
13. ! [X0] : ((~quiet(X0) | ~wise(X0)) <=> (~curious(X0) & happy(... | 0 |
Everyone who is both strong and not brave is humble or tall.
If someone is either calm or rich then john is either not creative or not curious and vice versa.
If susan is not curious then susan is patient or brave.
Everyone who is both humble and old is either calm or generous.
Everyone who is strong is not wise or not... | Mary is strong. | neutral | (![X]:((strong(X)&~brave(X))=>(humble(X)|tall(X))))&
((?[X]:((calm(X)<~>rich(X))))<=>((~creative(john)<~>~curious(john))))&
((~curious(susan))=>((patient(susan)|brave(susan))))&
(![X]:((humble(X)&old(X))=>(calm(X)<~>generous(X))))&
(![X]:(strong(X)=>(~wise(X)|~generous(X))))&
(![X]:(tall(X)<=>generous(X)))&
(![X]:(~cal... | strong(mary) | [] | null | 0 |
Everyone who is both not humble and not calm is funny and vice versa. If someone is not calm or kind then someone is old. Everyone who is either calm or not wise is both not calm and kind and vice versa. If someone is generous then alice is both curious and rich and vice versa. If someone is both not brave and kind the... | Susan is not rich. | neutral | (![X]:((~humble(X)&~calm(X))<=>funny(X)))&
((?[X]:((~calm(X)|kind(X))))=>(?[X]:(old(X))))&
(![X]:((calm(X)<~>~wise(X))<=>(~calm(X)&kind(X))))&
((?[X]:(generous(X)))<=>((curious(alice)&rich(alice))))&
((?[X]:((~brave(X)&kind(X))))<=>(?[X]:((~curious(X)|~generous(X)))))&
((?[X]:((~kind(X)|strong(X))))=>(?[X]:((~old(X)&~c... | ~rich(susan) | [] | null | 0 |
Everyone who is not rich or not patient is not humble and vice versa. Everyone who is either not humble or happy is creative or not brave. If lucy is either not calm or patient then mary is either not patient or not tall and vice versa. If someone is either not curious or funny then alice is both not patient and creati... | John is funny. | entailment | (![X]:((~rich(X)|~patient(X))<=>~humble(X)))&
(![X]:((~humble(X)<~>happy(X))=>(creative(X)|~brave(X))))&
(((~calm(lucy)<~>patient(lucy)))<=>((~patient(mary)<~>~tall(mary))))&
((?[X]:((~curious(X)<~>funny(X))))=>((~patient(alice)&creative(alice))))&
((?[X]:((~funny(X)|generous(X))))=>(?[X]:((happy(X)&~generous(X)))))&
(... | funny(john) | [
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3624295927587326238316614
% SZS output start Proof for 3624295927587326238316614
5. ? [X0] : (generous(X0) | ~funny(X0)) => ? [X0] : (~generous(X0) & happy(X0)) [input p4]
11. ! [X0] : (~brave(X0) => (~happy(X0) & ~patient(X0))) [input p10]
13. ? [X0] : brave(X0) => ? [X0] : (tall(X0) & ~... | 0 |
If someone is both not wise and strong then fred is both not generous and calm.
Everyone who is not quiet is either not humble or not generous.
Everyone who is either not old or not quiet is both quiet and patient.
Everyone who is rich or not humble is both wise and old and vice versa.
If mary is either strong or happy... | Paul is not humble. | contradiction | ((?[X]:((~wise(X)&strong(X))))=>((~generous(fred)&calm(fred))))&
(![X]:(~quiet(X)=>(~humble(X)<~>~generous(X))))&
(![X]:((~old(X)<~>~quiet(X))=>(quiet(X)&patient(X))))&
(![X]:((rich(X)|~humble(X))<=>(wise(X)&old(X))))&
(((strong(mary)<~>happy(mary)))=>(?[X]:((~rich(X)&curious(X)))))&
((?[X]:(old(X)))=>(?[X]:(quiet(X)))... | ~humble(paul) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7120150738470383839432609
% SZS output start Proof for 7120150738470383839432609
4. ! [X0] : ((~humble(X0) | rich(X0)) <=> (old(X0) & wise(X0))) [input p3]
7. ! [X0] : ((curious(X0) & ~humble(X0)) <=> (wise(X0) & ~curious(X0))) [input p6]
25. ~humble(paul) [input hypothesis]
45. ! [X0] : ... | 0 |
Everyone who is either wise or rich is not curious and vice versa. Everyone who is both not strong and rich is not patient or not humble and vice versa. Everyone who is kind or not patient is not creative or wise and vice versa. Everyone who is not old is either not calm or not wise and vice versa. Everyone who is wise... | Paul is not curious. | contradiction | (![X]:((wise(X)<~>rich(X))<=>~curious(X)))&
(![X]:((~strong(X)&rich(X))<=>(~patient(X)|~humble(X))))&
(![X]:((kind(X)|~patient(X))<=>(~creative(X)|wise(X))))&
(![X]:(~old(X)<=>(~calm(X)<~>~wise(X))))&
(![X]:(wise(X)<=>(happy(X)|brave(X))))&
(![X]:((~generous(X)&~quiet(X))=>(~tall(X)|~old(X))))&
((?[X]:(~wise(X)))<=>((c... | ~curious(paul) | [
"p0",
"p1",
"p4",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7808933234710044636590569
% SZS output start Proof for 7808933234710044636590569
1. ! [X0] : ((wise(X0) <~> rich(X0)) <=> ~curious(X0)) [input p0]
2. ! [X0] : ((rich(X0) & ~strong(X0)) <=> (~humble(X0) | ~patient(X0))) [input p1]
5. ! [X0] : (wise(X0) <=> (brave(X0) | happy(X0))) [input p... | 0 |
If mary is not quiet or old then someone is not happy. If someone is patient then fred is strong or brave. Everyone who is not strong is either wise or not humble and vice versa. Everyone who is rich or creative is both rich and not old and vice versa. If john is strong then someone is not funny. If someone is not brav... | John is old. | contradiction | (((~quiet(mary)|old(mary)))=>(?[X]:(~happy(X))))&
((?[X]:(patient(X)))=>((strong(fred)|brave(fred))))&
(![X]:(~strong(X)<=>(wise(X)<~>~humble(X))))&
(![X]:((rich(X)|creative(X))<=>(rich(X)&~old(X))))&
((strong(john))=>(?[X]:(~funny(X))))&
((?[X]:((~brave(X)|~funny(X))))=>(?[X]:(patient(X))))&
(![X]:(~curious(X)<=>(pati... | old(john) | [
"p3",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3191939321524534699457217
% SZS output start Proof for 3191939321524534699457217
4. ! [X0] : ((creative(X0) | rich(X0)) <=> (~old(X0) & rich(X0))) [input p3]
24. calm(john) & rich(john) [input p23]
25. old(john) [input hypothesis]
43. ! [X0] : (((creative(X0) | rich(X0)) | (old(X0) | ~ric... | 0 |
Everyone who is not wise or old is tall or not old and vice versa.
Everyone who is either humble or not funny is both not brave and not wise and vice versa.
If someone is both not tall and not brave then john is not kind or brave and vice versa.
Everyone who is either creative or funny is strong and vice versa.
If some... | Paul is rich. | contradiction | (![X]:((~wise(X)|old(X))<=>(tall(X)|~old(X))))&
(![X]:((humble(X)<~>~funny(X))<=>(~brave(X)&~wise(X))))&
((?[X]:((~tall(X)&~brave(X))))<=>((~kind(john)|brave(john))))&
(![X]:((creative(X)<~>funny(X))<=>strong(X)))&
((?[X]:((strong(X)&~old(X))))=>(?[X]:((~humble(X)&~strong(X)))))&
(((~rich(fred)&generous(fred)))=>(?[X]:... | rich(paul) | [
"p0",
"p4",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 845121095581899517813473
% SZS output start Proof for 845121095581899517813473
1. ! [X0] : ((old(X0) | ~wise(X0)) <=> (~old(X0) | tall(X0))) [input p0]
5. ? [X0] : (~old(X0) & strong(X0)) => ? [X0] : (~strong(X0) & ~humble(X0)) [input p4]
9. ! [X0] : ((~tall(X0) | ~wise(X0)) <=> (tall(X0)... | 0 |
If someone is both not rich and not patient then paul is quiet.
If paul is brave then john is either quiet or not wise.
If someone is happy then alice is brave or not tall.
Everyone who is either kind or wise is either old or brave.
Everyone who is rich or creative is not funny and vice versa.
If susan is either not ha... | Alice is happy. | entailment | ((?[X]:((~rich(X)&~patient(X))))=>(quiet(paul)))&
((brave(paul))=>((quiet(john)<~>~wise(john))))&
((?[X]:(happy(X)))=>((brave(alice)|~tall(alice))))&
(![X]:((kind(X)<~>wise(X))=>(old(X)<~>brave(X))))&
(![X]:((rich(X)|creative(X))<=>~funny(X)))&
(((~happy(susan)<~>~funny(susan)))=>(?[X]:((~brave(X)&calm(X)))))&
(((~calm... | happy(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3164942675820171504106487
% SZS output start Proof for 3164942675820171504106487
8. ! [X0] : (~happy(X0) <=> (quiet(X0) & happy(X0))) [input p7]
24. ~happy(alice) [input hypothesis]
47. ! [X0] : ((~happy(X0) | (~quiet(X0) | ~happy(X0))) & ((quiet(X0) & happy(X0)) | happy(X0))) [nnf transf... | 0 |
Everyone who is not curious is either brave or not patient.
If someone is happy or not rich then someone is not humble or not tall and vice versa.
Everyone who is both not wise and not tall is funny or happy and vice versa.
Everyone who is either not generous or curious is not kind and vice versa.
If someone is curious... | Fred is not humble. | neutral | (![X]:(~curious(X)=>(brave(X)<~>~patient(X))))&
((?[X]:((happy(X)|~rich(X))))<=>(?[X]:((~humble(X)|~tall(X)))))&
(![X]:((~wise(X)&~tall(X))<=>(funny(X)|happy(X))))&
(![X]:((~generous(X)<~>curious(X))<=>~kind(X)))&
((?[X]:((curious(X)|calm(X))))=>((rich(john)<~>old(john))))&
(![X]:((~brave(X)<~>~old(X))<=>(kind(X)|~humb... | ~humble(fred) | [] | null | 0 |
Everyone who is not funny is either wise or not brave and vice versa.
If john is strong then someone is patient or not happy and vice versa.
Everyone who is either not old or not rich is not old or not wise.
Everyone who is not strong or not patient is not patient and vice versa.
If someone is wise or creative then som... | Mary is not creative. | contradiction | (![X]:(~funny(X)<=>(wise(X)<~>~brave(X))))&
((strong(john))<=>(?[X]:((patient(X)|~happy(X)))))&
(![X]:((~old(X)<~>~rich(X))=>(~old(X)|~wise(X))))&
(![X]:((~strong(X)|~patient(X))<=>~patient(X)))&
((?[X]:((wise(X)|creative(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(tall(X)<=>(~humble(X)<~>~rich(X))))&
(((~quiet(paul)<~>~genero... | ~creative(mary) | [
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2681765998519083056453644
% SZS output start Proof for 2681765998519083056453644
10. ? [X0] : (~kind(X0) | rich(X0)) => ? [X0] : ~calm(X0) [input p9]
11. ? [X0] : (~calm(X0) | brave(X0)) <=> (calm(mary) & creative(mary)) [input p10]
20. ? [X0] : (rich(X0) & generous(X0)) [input p19]
25. ~... | 0 |
Everyone who is either not creative or old is both not quiet and patient.
Everyone who is both not quiet and funny is old or not kind and vice versa.
If fred is not strong then susan is quiet.
If someone is both happy and not wise then someone is funny and vice versa.
If john is either not strong or humble then someone... | Susan is not generous. | neutral | (![X]:((~creative(X)<~>old(X))=>(~quiet(X)&patient(X))))&
(![X]:((~quiet(X)&funny(X))<=>(old(X)|~kind(X))))&
((~strong(fred))=>(quiet(susan)))&
((?[X]:((happy(X)&~wise(X))))<=>(?[X]:(funny(X))))&
(((~strong(john)<~>humble(john)))<=>(?[X]:((~old(X)&calm(X)))))&
(((generous(lucy)&~brave(lucy)))=>(?[X]:((funny(X)<~>wise(X... | ~generous(susan) | [] | null | 0 |
If someone is both patient and rich then someone is both creative and not kind. Everyone who is wise is both not happy and strong. Everyone who is brave is either not quiet or not kind. Everyone who is either not patient or patient is not happy and vice versa. If someone is old then someone is both not strong and wise ... | Mary is not curious. | neutral | ((?[X]:((patient(X)&rich(X))))=>(?[X]:((creative(X)&~kind(X)))))&
(![X]:(wise(X)=>(~happy(X)&strong(X))))&
(![X]:(brave(X)=>(~quiet(X)<~>~kind(X))))&
(![X]:((~patient(X)<~>patient(X))<=>~happy(X)))&
((?[X]:(old(X)))<=>(?[X]:((~strong(X)&wise(X)))))&
(![X]:(wise(X)=>(creative(X)&~brave(X))))&
(![X]:((~patient(X)<~>~gene... | ~curious(mary) | [] | null | 0 |
Everyone who is not generous or funny is kind.
Everyone who is not brave is kind and vice versa.
Everyone who is strong is either not old or not brave and vice versa.
Everyone who is both funny and generous is either wise or not creative.
If susan is both not strong and not curious then john is old or happy and vice ve... | Susan is not generous. | neutral | (![X]:((~generous(X)|funny(X))=>kind(X)))&
(![X]:(~brave(X)<=>kind(X)))&
(![X]:(strong(X)<=>(~old(X)<~>~brave(X))))&
(![X]:((funny(X)&generous(X))=>(wise(X)<~>~creative(X))))&
(((~strong(susan)&~curious(susan)))<=>((old(john)|happy(john))))&
((?[X]:((creative(X)&patient(X))))<=>(?[X]:((~generous(X)&~tall(X)))))&
((~wis... | ~generous(susan) | [] | null | 0 |
If susan is both old and calm then alice is not brave and vice versa.
Everyone who is either not funny or not strong is wise and vice versa.
If someone is funny then someone is either not funny or not curious and vice versa.
If someone is both not creative and patient then susan is not quiet or not strong.
Everyone who... | Susan is wise. | neutral | (((old(susan)&calm(susan)))<=>(~brave(alice)))&
(![X]:((~funny(X)<~>~strong(X))<=>wise(X)))&
((?[X]:(funny(X)))<=>(?[X]:((~funny(X)<~>~curious(X)))))&
((?[X]:((~creative(X)&patient(X))))=>((~quiet(susan)|~strong(susan))))&
(![X]:(creative(X)=>(~patient(X)&~quiet(X))))&
((?[X]:(~rich(X)))<=>((~quiet(paul)|patient(paul))... | wise(susan) | [] | null | 0 |
Everyone who is either calm or strong is calm or funny and vice versa.
If someone is either not rich or not strong then alice is both not funny and not rich.
If someone is either patient or not tall then fred is strong or funny.
Everyone who is not wise is happy and vice versa.
Everyone who is both not old and tall is ... | Mary is not kind. | entailment | (![X]:((calm(X)<~>strong(X))<=>(calm(X)|funny(X))))&
((?[X]:((~rich(X)<~>~strong(X))))=>((~funny(alice)&~rich(alice))))&
((?[X]:((patient(X)<~>~tall(X))))=>((strong(fred)|funny(fred))))&
(![X]:(~wise(X)<=>happy(X)))&
(![X]:((~old(X)&tall(X))<=>(calm(X)<~>~old(X))))&
(![X]:((~curious(X)&calm(X))<=>~strong(X)))&
(![X]:(o... | ~kind(mary) | [
"p3",
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7766772216233731038889618
% SZS output start Proof for 7766772216233731038889618
4. ! [X0] : (~wise(X0) <=> happy(X0)) [input p3]
5. ! [X0] : ((tall(X0) & ~old(X0)) <=> (calm(X0) <~> ~old(X0))) [input p4]
7. ! [X0] : (old(X0) => (calm(X0) & ~wise(X0))) [input p6]
15. ! [X0] : ((wise(X0) &... | 0 |
Everyone who is quiet or not brave is both not humble and curious and vice versa.
If susan is either funny or not strong then john is not quiet or strong and vice versa.
If someone is curious or old then lucy is both rich and not creative.
If fred is not funny then lucy is either not old or curious and vice versa.
Ever... | Susan is old. | contradiction | (![X]:((quiet(X)|~brave(X))<=>(~humble(X)&curious(X))))&
(((funny(susan)<~>~strong(susan)))<=>((~quiet(john)|strong(john))))&
((?[X]:((curious(X)|old(X))))=>((rich(lucy)&~creative(lucy))))&
((~funny(fred))<=>((~old(lucy)<~>curious(lucy))))&
(![X]:((~generous(X)<~>~curious(X))=>(~calm(X)|~wise(X))))&
((humble(fred))=>(?... | old(susan) | [
"p2",
"p7",
"p12",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3624740872890528534879531
% SZS output start Proof for 3624740872890528534879531
3. ? [X0] : (old(X0) | curious(X0)) => (~creative(lucy) & rich(lucy)) [input p2]
8. ~wise(lucy) <=> ? [X0] : (tall(X0) <~> ~creative(X0)) [input p7]
13. ! [X0] : ((~wise(X0) <~> ~strong(X0)) <=> (~creative(X0... | 0 |
Everyone who is either happy or not patient is both calm and generous and vice versa. Everyone who is both not curious and not brave is both not patient and strong. Everyone who is both not kind and not happy is both not strong and not patient and vice versa. Everyone who is both brave and happy is not creative and vic... | Alice is happy. | entailment | (![X]:((happy(X)<~>~patient(X))<=>(calm(X)&generous(X))))&
(![X]:((~curious(X)&~brave(X))=>(~patient(X)&strong(X))))&
(![X]:((~kind(X)&~happy(X))<=>(~strong(X)&~patient(X))))&
(![X]:((brave(X)&happy(X))<=>~creative(X)))&
(((~strong(john)&kind(john)))<=>(?[X]:((calm(X)<~>rich(X)))))&
(![X]:((~happy(X)&creative(X))<=>(~c... | happy(alice) | [
"p3",
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 540373258233641429141687
% SZS output start Proof for 540373258233641429141687
4. ! [X0] : ((happy(X0) & brave(X0)) <=> ~creative(X0)) [input p3]
6. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (~generous(X0) & ~calm(X0))) [input p5]
8. ! [X0] : ((wise(X0) & funny(X0)) <=> ~calm(X0)) [input ... | 0 |
Everyone who is both rich and not brave is not old or old. Everyone who is both funny and kind is both humble and not funny and vice versa. If someone is both not generous and rich then someone is generous. If lucy is both not creative and brave then fred is both quiet and funny. If paul is both not brave and old then ... | Fred is not kind. | entailment | (![X]:((rich(X)&~brave(X))=>(~old(X)|old(X))))&
(![X]:((funny(X)&kind(X))<=>(humble(X)&~funny(X))))&
((?[X]:((~generous(X)&rich(X))))=>(?[X]:(generous(X))))&
(((~creative(lucy)&brave(lucy)))=>((quiet(fred)&funny(fred))))&
(((~brave(paul)&old(paul)))<=>(?[X]:((~old(X)|~calm(X)))))&
(![X]:(~tall(X)=>~kind(X)))&
(![X]:(hu... | ~kind(fred) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6774349546576811252793015
% SZS output start Proof for 6774349546576811252793015
2. ! [X0] : ((kind(X0) & funny(X0)) <=> (~funny(X0) & humble(X0))) [input p1]
7. ! [X0] : (humble(X0) <=> (happy(X0) | ~happy(X0))) [input p6]
21. kind(fred) [input hypothesis]
32. ! [X0] : (((kind(X0) & funn... | 0 |
If fred is not quiet then mary is either creative or happy and vice versa.
Everyone who is not quiet is either not brave or not humble and vice versa.
Everyone who is either quiet or not patient is not generous and vice versa.
If someone is brave then someone is either not tall or not wise.
Everyone who is both happy a... | Fred is not tall. | contradiction | ((~quiet(fred))<=>((creative(mary)<~>happy(mary))))&
(![X]:(~quiet(X)<=>(~brave(X)<~>~humble(X))))&
(![X]:((quiet(X)<~>~patient(X))<=>~generous(X)))&
((?[X]:(brave(X)))=>(?[X]:((~tall(X)<~>~wise(X)))))&
(![X]:((happy(X)&~creative(X))<=>(~tall(X)<~>funny(X))))&
(![X]:((~curious(X)&patient(X))=>~wise(X)))&
((~calm(alice)... | ~tall(fred) | [
"p0",
"p2",
"p4",
"p7",
"p12",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 230179063585959176595162
% SZS output start Proof for 230179063585959176595162
1. ~quiet(fred) <=> (creative(mary) <~> happy(mary)) [input p0]
3. ! [X0] : ((quiet(X0) <~> ~patient(X0)) <=> ~generous(X0)) [input p2]
5. ! [X0] : ((~creative(X0) & happy(X0)) <=> (~tall(X0) <~> funny(X0))) [i... | 0 |
If someone is either not creative or calm then someone is either not old or not calm. If someone is not curious then mary is not curious. Everyone who is not patient or happy is both quiet and rich. Everyone who is both not tall and curious is curious or not calm. If paul is both happy and not rich then someone is brav... | Paul is not tall. | contradiction | ((?[X]:((~creative(X)<~>calm(X))))=>(?[X]:((~old(X)<~>~calm(X)))))&
((?[X]:(~curious(X)))=>(~curious(mary)))&
(![X]:((~patient(X)|happy(X))=>(quiet(X)&rich(X))))&
(![X]:((~tall(X)&curious(X))=>(curious(X)|~calm(X))))&
(((happy(paul)&~rich(paul)))=>(?[X]:(brave(X))))&
(![X]:((~wise(X)|~quiet(X))=>tall(X)))&
((wise(paul)... | ~tall(paul) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4944945730457010833888570
% SZS output start Proof for 4944945730457010833888570
6. ! [X0] : ((~quiet(X0) | ~wise(X0)) => tall(X0)) [input p5]
15. ! [X0] : ((~kind(X0) | kind(X0)) <=> ~wise(X0)) [input p14]
23. ~tall(paul) [input hypothesis]
34. ! [X0] : (tall(X0) | (quiet(X0) & wise(X0))... | 0 |
If someone is either not creative or not kind then someone is strong or not quiet. Everyone who is either humble or not calm is not curious. Everyone who is both kind and creative is either wise or not kind. Everyone who is either curious or not rich is either not patient or creative. If alice is both creative and calm... | Lucy is not strong. | neutral | ((?[X]:((~creative(X)<~>~kind(X))))=>(?[X]:((strong(X)|~quiet(X)))))&
(![X]:((humble(X)<~>~calm(X))=>~curious(X)))&
(![X]:((kind(X)&creative(X))=>(wise(X)<~>~kind(X))))&
(![X]:((curious(X)<~>~rich(X))=>(~patient(X)<~>creative(X))))&
(((creative(alice)&calm(alice)))=>(?[X]:((~calm(X)<~>~happy(X)))))&
(![X]:((generous(X)... | ~strong(lucy) | [] | null | 0 |
Everyone who is either brave or funny is both rich and not patient and vice versa.
Everyone who is not wise or not calm is not rich or not creative.
Everyone who is tall or not strong is either not calm or brave and vice versa.
If lucy is not curious or not happy then someone is not old or not kind.
Everyone who is bot... | John is funny. | contradiction | (![X]:((brave(X)<~>funny(X))<=>(rich(X)&~patient(X))))&
(![X]:((~wise(X)|~calm(X))=>(~rich(X)|~creative(X))))&
(![X]:((tall(X)|~strong(X))<=>(~calm(X)<~>brave(X))))&
(((~curious(lucy)|~happy(lucy)))=>(?[X]:((~old(X)|~kind(X)))))&
(![X]:((calm(X)&tall(X))=>~kind(X)))&
(![X]:((creative(X)|~kind(X))<=>(~calm(X)<~>happy(X)... | funny(john) | [
"p12",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 249221615799583887214417
% SZS output start Proof for 249221615799583887214417
13. ! [X0] : ((creative(X0) <~> ~funny(X0)) <=> (strong(X0) & ~creative(X0))) [input p12]
14. ! [X0] : ((strong(X0) <~> ~creative(X0)) => (rich(X0) & ~curious(X0))) [input p13]
15. (generous(john) & curious(joh... | 0 |
Everyone who is calm is creative or quiet.
If someone is both not patient and not curious then someone is not funny and vice versa.
Everyone who is either not rich or curious is not rich.
If lucy is either not calm or rich then susan is happy.
Everyone who is kind is not strong or not generous.
If someone is happy or n... | Mary is calm. | entailment | (![X]:(calm(X)=>(creative(X)|quiet(X))))&
((?[X]:((~patient(X)&~curious(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~rich(X)<~>curious(X))=>~rich(X)))&
(((~calm(lucy)<~>rich(lucy)))=>(happy(susan)))&
(![X]:(kind(X)=>(~strong(X)|~generous(X))))&
((?[X]:((happy(X)|~creative(X))))=>(?[X]:(~generous(X))))&
(![X]:(funny(X)<=>(humb... | calm(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3419682240124045296301100
% SZS output start Proof for 3419682240124045296301100
13. ! [X0] : ((~old(X0) & calm(X0)) <=> ~calm(X0)) [input p12]
24. ~calm(mary) [input hypothesis]
66. ! [X0] : (((~old(X0) & calm(X0)) | calm(X0)) & (~calm(X0) | (old(X0) | ~calm(X0)))) [nnf transformation 13... | 0 |
Everyone who is humble is either not brave or humble and vice versa.
Everyone who is kind or patient is either not curious or not generous and vice versa.
If alice is not brave then someone is generous and vice versa.
Everyone who is kind is wise or not tall.
Everyone who is not tall or not funny is either not strong o... | Fred is not old. | neutral | (![X]:(humble(X)<=>(~brave(X)<~>humble(X))))&
(![X]:((kind(X)|patient(X))<=>(~curious(X)<~>~generous(X))))&
((~brave(alice))<=>(?[X]:(generous(X))))&
(![X]:(kind(X)=>(wise(X)|~tall(X))))&
(![X]:((~tall(X)|~funny(X))<=>(~strong(X)<~>~quiet(X))))&
((?[X]:(~generous(X)))<=>((~happy(fred)|calm(fred))))&
(((~calm(paul)|funn... | ~old(fred) | [] | null | 0 |
Everyone who is kind or generous is not funny or not kind.
Everyone who is patient or brave is quiet or curious.
Everyone who is not curious is generous or not generous and vice versa.
If lucy is either not tall or not patient then someone is not humble and vice versa.
Everyone who is both not patient and not happy is ... | Fred is not happy. | entailment | (![X]:((kind(X)|generous(X))=>(~funny(X)|~kind(X))))&
(![X]:((patient(X)|brave(X))=>(quiet(X)|curious(X))))&
(![X]:(~curious(X)<=>(generous(X)|~generous(X))))&
(((~tall(lucy)<~>~patient(lucy)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)&~happy(X))<=>~creative(X)))&
(![X]:((~creative(X)&tall(X))=>(wise(X)&happy(X))))&
... | ~happy(fred) | [
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 528557120793590868965933
% SZS output start Proof for 528557120793590868965933
13. ! [X0] : ((~wise(X0) & humble(X0)) <=> happy(X0)) [input p12]
17. wise(fred) [input p16]
24. happy(fred) [input hypothesis]
54. ! [X0] : (((~wise(X0) & humble(X0)) | ~happy(X0)) & (happy(X0) | (wise(X0) | ~... | 0 |
If mary is not funny or kind then someone is both not patient and generous and vice versa. Everyone who is not patient is rich and vice versa. If someone is not patient or quiet then someone is both quiet and happy. If susan is patient or funny then fred is both not calm and not kind and vice versa. If fred is either n... | Fred is funny. | contradiction | (((~funny(mary)|kind(mary)))<=>(?[X]:((~patient(X)&generous(X)))))&
(![X]:(~patient(X)<=>rich(X)))&
((?[X]:((~patient(X)|quiet(X))))=>(?[X]:((quiet(X)&happy(X)))))&
(((patient(susan)|funny(susan)))<=>((~calm(fred)&~kind(fred))))&
(((~strong(fred)<~>~tall(fred)))<=>(?[X]:(humble(X))))&
(((~curious(alice)|tall(alice)))=>... | funny(fred) | [
"p2",
"p3",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5808879844205752153140157
% SZS output start Proof for 5808879844205752153140157
3. ? [X0] : (quiet(X0) | ~patient(X0)) => ? [X0] : (happy(X0) & quiet(X0)) [input p2]
4. (funny(susan) | patient(susan)) <=> (~kind(fred) & ~calm(fred)) [input p3]
8. ! [X0] : ((quiet(X0) | ~brave(X0)) <=> ~h... | 0 |
If alice is either curious or not curious then alice is old.
Everyone who is either not strong or not brave is not rich or not quiet and vice versa.
Everyone who is curious is calm and vice versa.
Everyone who is either not brave or happy is either not kind or generous.
Everyone who is not funny is either calm or not k... | Alice is not old. | contradiction | (((curious(alice)<~>~curious(alice)))=>(old(alice)))&
(![X]:((~strong(X)<~>~brave(X))<=>(~rich(X)|~quiet(X))))&
(![X]:(curious(X)<=>calm(X)))&
(![X]:((~brave(X)<~>happy(X))=>(~kind(X)<~>generous(X))))&
(![X]:(~funny(X)=>(calm(X)<~>~kind(X))))&
((?[X]:((~calm(X)&rich(X))))<=>((funny(john)|calm(john))))&
(![X]:(~brave(X)... | ~old(alice) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3613164731573931981574185
% SZS output start Proof for 3613164731573931981574185
1. (curious(alice) <~> ~curious(alice)) => old(alice) [input p0]
25. ~old(alice) [input hypothesis]
28. old(alice) | (curious(alice) <=> ~curious(alice)) [ennf transformation 1]
43. old(alice) | ((curious(ali... | 0 |
Everyone who is both rich and wise is both not wise and quiet. If susan is both not creative and funny then someone is strong. Everyone who is not rich or not generous is not happy or not old. If paul is both brave and not kind then paul is not kind. Everyone who is both not generous and funny is generous or not brave ... | Mary is not brave. | entailment | (![X]:((rich(X)&wise(X))=>(~wise(X)&quiet(X))))&
(((~creative(susan)&funny(susan)))=>(?[X]:(strong(X))))&
(![X]:((~rich(X)|~generous(X))=>(~happy(X)|~old(X))))&
(((brave(paul)&~kind(paul)))=>(~kind(paul)))&
(![X]:((~generous(X)&funny(X))<=>(generous(X)|~brave(X))))&
((?[X]:((~old(X)|tall(X))))=>(?[X]:((~kind(X)&~humble... | ~brave(mary) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3675075352636234371477107
% SZS output start Proof for 3675075352636234371477107
5. ! [X0] : ((funny(X0) & ~generous(X0)) <=> (~brave(X0) | generous(X0))) [input p4]
7. ! [X0] : ((~calm(X0) & calm(X0)) <=> (~old(X0) | ~funny(X0))) [input p6]
21. brave(mary) [input hypothesis]
43. ! [X0] :... | 0 |
Everyone who is not strong is either not strong or kind and vice versa.
If lucy is both not tall and funny then fred is both strong and old and vice versa.
Everyone who is funny or curious is not happy and vice versa.
If alice is both creative and kind then mary is quiet.
If someone is not old then fred is both not cur... | Fred is not humble. | contradiction | (![X]:(~strong(X)<=>(~strong(X)<~>kind(X))))&
(((~tall(lucy)&funny(lucy)))<=>((strong(fred)&old(fred))))&
(![X]:((funny(X)|curious(X))<=>~happy(X)))&
(((creative(alice)&kind(alice)))=>(quiet(mary)))&
((?[X]:(~old(X)))=>((~curious(fred)&generous(fred))))&
((?[X]:(~funny(X)))=>(?[X]:(~happy(X))))&
(![X]:((happy(X)<~>gene... | ~humble(fred) | [
"p0",
"p2",
"p6",
"p7",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1335393607206547053662113
% SZS output start Proof for 1335393607206547053662113
1. ! [X0] : (~strong(X0) <=> (~strong(X0) <~> kind(X0))) [input p0]
3. ! [X0] : ((curious(X0) | funny(X0)) <=> ~happy(X0)) [input p2]
7. ! [X0] : ((happy(X0) <~> generous(X0)) <=> ~calm(X0)) [input p6]
8. ! [... | 0 |
Everyone who is both not kind and humble is both not curious and strong and vice versa.
Everyone who is patient or humble is happy.
Everyone who is both not creative and happy is tall and vice versa.
Everyone who is not humble or creative is generous or not happy.
Everyone who is both not wise and strong is either old ... | Lucy is generous. | neutral | (![X]:((~kind(X)&humble(X))<=>(~curious(X)&strong(X))))&
(![X]:((patient(X)|humble(X))=>happy(X)))&
(![X]:((~creative(X)&happy(X))<=>tall(X)))&
(![X]:((~humble(X)|creative(X))=>(generous(X)|~happy(X))))&
(![X]:((~wise(X)&strong(X))=>(old(X)<~>quiet(X))))&
(((~quiet(alice)<~>funny(alice)))=>((rich(mary)<~>~calm(mary))))... | generous(lucy) | [] | null | 0 |
Everyone who is rich or kind is not tall or not rich and vice versa.
Everyone who is both not brave and not calm is humble or not rich.
Everyone who is not generous or not quiet is creative or brave and vice versa.
If someone is curious or wise then someone is either creative or not curious.
Everyone who is generous is... | Fred is patient. | neutral | (![X]:((rich(X)|kind(X))<=>(~tall(X)|~rich(X))))&
(![X]:((~brave(X)&~calm(X))=>(humble(X)|~rich(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(creative(X)|brave(X))))&
((?[X]:((curious(X)|wise(X))))=>(?[X]:((creative(X)<~>~curious(X)))))&
(![X]:(generous(X)=>(~kind(X)<~>~funny(X))))&
(![X]:((happy(X)<~>~old(X))=>(calm(X)&br... | patient(fred) | [] | null | 0 |
If alice is both strong and kind then alice is either calm or happy.
Everyone who is generous is generous or patient.
Everyone who is both not strong and not creative is quiet or happy and vice versa.
If someone is both tall and humble then susan is either not calm or not strong and vice versa.
If someone is either pat... | Fred is tall. | entailment | (((strong(alice)&kind(alice)))=>((calm(alice)<~>happy(alice))))&
(![X]:(generous(X)=>(generous(X)|patient(X))))&
(![X]:((~strong(X)&~creative(X))<=>(quiet(X)|happy(X))))&
((?[X]:((tall(X)&humble(X))))<=>((~calm(susan)<~>~strong(susan))))&
((?[X]:((patient(X)<~>~humble(X))))<=>(?[X]:(patient(X))))&
(((~calm(alice)&~humb... | tall(fred) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6542334345338171341278071
% SZS output start Proof for 6542334345338171341278071
13. ! [X0] : ((wise(X0) | ~tall(X0)) => (calm(X0) & strong(X0))) [input p12]
14. ! [X0] : ((calm(X0) <~> ~strong(X0)) => (~calm(X0) & ~wise(X0))) [input p13]
22. ~tall(fred) [input hypothesis]
33. ! [X0] : ((... | 0 |
If someone is either not funny or tall then lucy is not creative or not happy and vice versa.
Everyone who is generous or not curious is both not wise and funny and vice versa.
Everyone who is old or not humble is not wise.
Everyone who is either not quiet or tall is not generous and vice versa.
If someone is either ca... | Lucy is not generous. | contradiction | ((?[X]:((~funny(X)<~>tall(X))))<=>((~creative(lucy)|~happy(lucy))))&
(![X]:((generous(X)|~curious(X))<=>(~wise(X)&funny(X))))&
(![X]:((old(X)|~humble(X))=>~wise(X)))&
(![X]:((~quiet(X)<~>tall(X))<=>~generous(X)))&
((?[X]:((calm(X)<~>~creative(X))))<=>((humble(susan)|old(susan))))&
(![X]:((~tall(X)|~quiet(X))<=>(tall(X)... | ~generous(lucy) | [
"p3",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5607911703488754010341075
% SZS output start Proof for 5607911703488754010341075
4. ! [X0] : ((~quiet(X0) <~> tall(X0)) <=> ~generous(X0)) [input p3]
6. ! [X0] : ((~quiet(X0) | ~tall(X0)) <=> (rich(X0) | tall(X0))) [input p5]
7. ? [X0] : (strong(X0) & old(X0)) => quiet(lucy) [input p6]
10... | 0 |
Everyone who is both not generous and not old is not generous or tall and vice versa.
Everyone who is both not generous and calm is tall and vice versa.
Everyone who is either not kind or strong is brave or tall and vice versa.
Everyone who is either not brave or not strong is creative.
If someone is strong or not humb... | Mary is not kind. | neutral | (![X]:((~generous(X)&~old(X))<=>(~generous(X)|tall(X))))&
(![X]:((~generous(X)&calm(X))<=>tall(X)))&
(![X]:((~kind(X)<~>strong(X))<=>(brave(X)|tall(X))))&
(![X]:((~brave(X)<~>~strong(X))=>creative(X)))&
((?[X]:((strong(X)|~humble(X))))<=>((wise(fred)|rich(fred))))&
(![X]:((humble(X)&quiet(X))=>(brave(X)|~humble(X))))&
... | ~kind(mary) | [] | null | 0 |
If lucy is kind then lucy is either not curious or not rich and vice versa.
If fred is either generous or not patient then someone is curious and vice versa.
If someone is generous then john is not tall.
Everyone who is not curious is either happy or brave and vice versa.
If susan is not brave then someone is happy.
If... | Lucy is generous. | neutral | ((kind(lucy))<=>((~curious(lucy)<~>~rich(lucy))))&
(((generous(fred)<~>~patient(fred)))<=>(?[X]:(curious(X))))&
((?[X]:(generous(X)))=>(~tall(john)))&
(![X]:(~curious(X)<=>(happy(X)<~>brave(X))))&
((~brave(susan))=>(?[X]:(happy(X))))&
((?[X]:((~quiet(X)&wise(X))))<=>(?[X]:((~rich(X)&old(X)))))&
(![X]:((generous(X)<~>~b... | generous(lucy) | [] | null | 0 |
If someone is not curious or patient then someone is both not strong and not rich and vice versa. Everyone who is either not humble or not old is happy or strong. Everyone who is not calm or patient is not kind and vice versa. Everyone who is not calm or generous is wise or funny. If someone is old then alice is patien... | Lucy is not kind. | entailment | ((?[X]:((~curious(X)|patient(X))))<=>(?[X]:((~strong(X)&~rich(X)))))&
(![X]:((~humble(X)<~>~old(X))=>(happy(X)|strong(X))))&
(![X]:((~calm(X)|patient(X))<=>~kind(X)))&
(![X]:((~calm(X)|generous(X))=>(wise(X)|funny(X))))&
((?[X]:(old(X)))=>((patient(alice)|~rich(alice))))&
(![X]:((wise(X)&funny(X))<=>(old(X)&~kind(X))))... | ~kind(lucy) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 120099360318841348433915
% SZS output start Proof for 120099360318841348433915
3. ! [X0] : ((patient(X0) | ~calm(X0)) <=> ~kind(X0)) [input p2]
15. ! [X0] : ((tall(X0) & ~calm(X0)) <=> calm(X0)) [input p14]
25. kind(lucy) [input hypothesis]
45. ! [X0] : (((patient(X0) | ~calm(X0)) | kind(... | 0 |
If fred is not creative then mary is either curious or not happy and vice versa.
Everyone who is humble is both not generous and kind.
Everyone who is not humble is either generous or tall and vice versa.
Everyone who is either not creative or not old is either not funny or not generous.
If lucy is either not wise or n... | Mary is calm. | neutral | ((~creative(fred))<=>((curious(mary)<~>~happy(mary))))&
(![X]:(humble(X)=>(~generous(X)&kind(X))))&
(![X]:(~humble(X)<=>(generous(X)<~>tall(X))))&
(![X]:((~creative(X)<~>~old(X))=>(~funny(X)<~>~generous(X))))&
(((~wise(lucy)<~>~creative(lucy)))<=>(?[X]:((curious(X)&~creative(X)))))&
(![X]:((~funny(X)<~>generous(X))=>(~... | calm(mary) | [] | null | 0 |
If lucy is either old or calm then someone is either patient or not wise and vice versa. If alice is not wise then mary is both brave and calm and vice versa. If someone is humble or not old then john is both not rich and strong. If susan is old or not old then lucy is funny. Everyone who is not creative or not patient... | Fred is quiet. | entailment | (((old(lucy)<~>calm(lucy)))<=>(?[X]:((patient(X)<~>~wise(X)))))&
((~wise(alice))<=>((brave(mary)&calm(mary))))&
((?[X]:((humble(X)|~old(X))))=>((~rich(john)&strong(john))))&
(((old(susan)|~old(susan)))=>(funny(lucy)))&
(![X]:((~creative(X)|~patient(X))=>(~curious(X)&kind(X))))&
(![X]:(brave(X)<=>~kind(X)))&
(![X]:((cal... | quiet(fred) | [
"p4",
"p5",
"p6",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7886354388032642975620139
% SZS output start Proof for 7886354388032642975620139
5. ! [X0] : ((~patient(X0) | ~creative(X0)) => (kind(X0) & ~curious(X0))) [input p4]
6. ! [X0] : (brave(X0) <=> ~kind(X0)) [input p5]
7. ! [X0] : ((~humble(X0) & calm(X0)) <=> (strong(X0) | kind(X0))) [input ... | 0 |
If someone is generous then mary is brave or not rich and vice versa. If someone is both not brave and humble then someone is not strong or not humble. Everyone who is either patient or creative is both old and quiet. Everyone who is both not happy and generous is not calm and vice versa. Everyone who is not strong is ... | Mary is generous. | contradiction | ((?[X]:(generous(X)))<=>((brave(mary)|~rich(mary))))&
((?[X]:((~brave(X)&humble(X))))=>(?[X]:((~strong(X)|~humble(X)))))&
(![X]:((patient(X)<~>creative(X))=>(old(X)&quiet(X))))&
(![X]:((~happy(X)&generous(X))<=>~calm(X)))&
(![X]:(~strong(X)<=>(kind(X)|old(X))))&
(![X]:((kind(X)|old(X))<=>quiet(X)))&
(![X]:((~humble(X)&... | generous(mary) | [
"p5",
"p7",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8429274701471624773125502
% SZS output start Proof for 8429274701471624773125502
6. ! [X0] : ((old(X0) | kind(X0)) <=> quiet(X0)) [input p5]
8. ! [X0] : ((generous(X0) | funny(X0)) => ~quiet(X0)) [input p7]
10. ! [X0] : ((~patient(X0) | wise(X0)) => ~generous(X0)) [input p9]
12. ! [X0] : ... | 0 |
If someone is either calm or not curious then someone is either not brave or not wise and vice versa.
Everyone who is both calm and brave is strong.
Everyone who is not rich is both not brave and not humble.
If susan is either quiet or not wise then alice is not rich or strong and vice versa.
If someone is either patie... | Susan is kind. | entailment | ((?[X]:((calm(X)<~>~curious(X))))<=>(?[X]:((~brave(X)<~>~wise(X)))))&
(![X]:((calm(X)&brave(X))=>strong(X)))&
(![X]:(~rich(X)=>(~brave(X)&~humble(X))))&
(((quiet(susan)<~>~wise(susan)))<=>((~rich(alice)|strong(alice))))&
((?[X]:((patient(X)<~>kind(X))))=>(?[X]:((~happy(X)&happy(X)))))&
(![X]:(~calm(X)<=>(humble(X)<~>pa... | kind(susan) | [
"p1",
"p4",
"p5",
"p7",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7949325296976585997603666
% SZS output start Proof for 7949325296976585997603666
2. ! [X0] : ((brave(X0) & calm(X0)) => strong(X0)) [input p1]
5. ? [X0] : (patient(X0) <~> kind(X0)) => ? [X0] : (happy(X0) & ~happy(X0)) [input p4]
6. ! [X0] : (~calm(X0) <=> (humble(X0) <~> patient(X0))) [i... | 0 |
If alice is both quiet and not funny then someone is either not tall or brave.
Everyone who is either not generous or strong is both patient and generous and vice versa.
Everyone who is both wise and happy is not calm and vice versa.
If someone is either not generous or creative then someone is either not generous or t... | Fred is not patient. | entailment | (((quiet(alice)&~funny(alice)))=>(?[X]:((~tall(X)<~>brave(X)))))&
(![X]:((~generous(X)<~>strong(X))<=>(patient(X)&generous(X))))&
(![X]:((wise(X)&happy(X))<=>~calm(X)))&
((?[X]:((~generous(X)<~>creative(X))))=>(?[X]:((~generous(X)<~>tall(X)))))&
((?[X]:(quiet(X)))<=>((strong(mary)&~patient(mary))))&
((?[X]:((strong(X)&... | ~patient(fred) | [
"p2",
"p9",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6566400807611531543741912
% SZS output start Proof for 6566400807611531543741912
3. ! [X0] : ((happy(X0) & wise(X0)) <=> ~calm(X0)) [input p2]
10. ! [X0] : ((~happy(X0) | wise(X0)) <=> (~calm(X0) | ~kind(X0))) [input p9]
13. ! [X0] : ((~happy(X0) & ~kind(X0)) <=> (~curious(X0) & curious(X... | 0 |
If someone is not wise or not happy then paul is both tall and rich. If alice is not happy then alice is both old and not happy and vice versa. Everyone who is both not tall and not rich is not old and vice versa. If someone is either not kind or wise then fred is old or not happy. If someone is generous then someone i... | Fred is not old. | contradiction | ((?[X]:((~wise(X)|~happy(X))))=>((tall(paul)&rich(paul))))&
((~happy(alice))<=>((old(alice)&~happy(alice))))&
(![X]:((~tall(X)&~rich(X))<=>~old(X)))&
((?[X]:((~kind(X)<~>wise(X))))=>((old(fred)|~happy(fred))))&
((?[X]:(generous(X)))<=>(?[X]:((~happy(X)<~>~rich(X)))))&
((?[X]:((~happy(X)<~>~kind(X))))=>((~rich(john)<~>~... | ~old(fred) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7626910272824494960141639
% SZS output start Proof for 7626910272824494960141639
3. ! [X0] : ((~rich(X0) & ~tall(X0)) <=> ~old(X0)) [input p2]
16. ! [X0] : ((kind(X0) | tall(X0)) <=> ~kind(X0)) [input p15]
24. ~old(fred) [input hypothesis]
38. ! [X0] : (((~rich(X0) & ~tall(X0)) | old(X0))... | 0 |
If susan is both creative and humble then fred is both old and quiet and vice versa.
Everyone who is not curious is not brave and vice versa.
Everyone who is either patient or brave is both brave and not quiet and vice versa.
If lucy is not kind then someone is not patient or tall and vice versa.
Everyone who is either... | Paul is not curious. | neutral | (((creative(susan)&humble(susan)))<=>((old(fred)&quiet(fred))))&
(![X]:(~curious(X)<=>~brave(X)))&
(![X]:((patient(X)<~>brave(X))<=>(brave(X)&~quiet(X))))&
((~kind(lucy))<=>(?[X]:((~patient(X)|tall(X)))))&
(![X]:((funny(X)<~>~creative(X))=>~funny(X)))&
((?[X]:((~strong(X)&creative(X))))<=>((generous(susan)|~calm(susan)... | ~curious(paul) | [] | null | 0 |
If someone is not kind or not creative then lucy is not generous and vice versa.
Everyone who is not brave or not quiet is both creative and not kind.
Everyone who is both not patient and not wise is not wise.
If someone is not funny then lucy is either rich or strong and vice versa.
Everyone who is happy or not rich i... | Alice is old. | entailment | ((?[X]:((~kind(X)|~creative(X))))<=>(~generous(lucy)))&
(![X]:((~brave(X)|~quiet(X))=>(creative(X)&~kind(X))))&
(![X]:((~patient(X)&~wise(X))=>~wise(X)))&
((?[X]:(~funny(X)))<=>((rich(lucy)<~>strong(lucy))))&
(![X]:((happy(X)|~rich(X))=>(~wise(X)|kind(X))))&
(![X]:(curious(X)<=>(humble(X)|~rich(X))))&
((old(fred))=>(?[... | old(alice) | [
"p0",
"p5",
"p8",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2891707309499167137424973
% SZS output start Proof for 2891707309499167137424973
1. ? [X0] : (~creative(X0) | ~kind(X0)) <=> ~generous(lucy) [input p0]
6. ! [X0] : (curious(X0) <=> (~rich(X0) | humble(X0))) [input p5]
9. ! [X0] : (creative(X0) => (~patient(X0) | old(X0))) [input p8]
13. (... | 0 |
If someone is not creative or not humble then john is either not funny or rich.
If fred is not funny then susan is not humble or not wise and vice versa.
Everyone who is creative or not rich is both not kind and not humble.
If john is either wise or not tall then someone is either kind or not creative.
If paul is not c... | Susan is not creative. | entailment | ((?[X]:((~creative(X)|~humble(X))))=>((~funny(john)<~>rich(john))))&
((~funny(fred))<=>((~humble(susan)|~wise(susan))))&
(![X]:((creative(X)|~rich(X))=>(~kind(X)&~humble(X))))&
(((wise(john)<~>~tall(john)))=>(?[X]:((kind(X)<~>~creative(X)))))&
((~curious(paul))=>(?[X]:((~calm(X)<~>wise(X)))))&
((?[X]:((~quiet(X)|~patie... | ~creative(susan) | [
"p2",
"p6",
"p8",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6789240245388075474288326
% SZS output start Proof for 6789240245388075474288326
3. ! [X0] : ((~rich(X0) | creative(X0)) => (~humble(X0) & ~kind(X0))) [input p2]
7. ! [X0] : ((~patient(X0) & ~calm(X0)) <=> (~happy(X0) <~> ~generous(X0))) [input p6]
9. ! [X0] : ((~old(X0) <~> strong(X0)) =... | 0 |
If alice is either not old or curious then someone is either not curious or humble and vice versa.
If lucy is either not calm or old then someone is both curious and calm.
If susan is both curious and not patient then susan is either brave or not humble.
Everyone who is not generous or tall is curious or funny.
Everyon... | Alice is not old. | entailment | (((~old(alice)<~>curious(alice)))<=>(?[X]:((~curious(X)<~>humble(X)))))&
(((~calm(lucy)<~>old(lucy)))=>(?[X]:((curious(X)&calm(X)))))&
(((curious(susan)&~patient(susan)))=>((brave(susan)<~>~humble(susan))))&
(![X]:((~generous(X)|tall(X))=>(curious(X)|funny(X))))&
(![X]:((~creative(X)|happy(X))=>~kind(X)))&
(![X]:((~gen... | ~old(alice) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1489273406153979567801525
% SZS output start Proof for 1489273406153979567801525
7. ! [X0] : ((~curious(X0) | creative(X0)) => (~old(X0) & patient(X0))) [input p6]
9. ! [X0] : ((~humble(X0) | old(X0)) <=> ~curious(X0)) [input p8]
24. old(alice) [input hypothesis]
30. ! [X0] : ((~curious(X... | 0 |
If fred is not kind or not calm then fred is calm or not happy. Everyone who is quiet or humble is brave. Everyone who is not brave or not wise is either not calm or tall and vice versa. If john is not kind then mary is not funny or humble. If someone is both not patient and curious then john is not calm. Everyone who ... | Paul is not funny. | neutral | (((~kind(fred)|~calm(fred)))=>((calm(fred)|~happy(fred))))&
(![X]:((quiet(X)|humble(X))=>brave(X)))&
(![X]:((~brave(X)|~wise(X))<=>(~calm(X)<~>tall(X))))&
((~kind(john))=>((~funny(mary)|humble(mary))))&
((?[X]:((~patient(X)&curious(X))))=>(~calm(john)))&
(![X]:(rich(X)<=>(~humble(X)&calm(X))))&
(![X]:(~kind(X)<=>(~curi... | ~funny(paul) | [] | null | 0 |
If someone is either not generous or rich then someone is humble.
Everyone who is old is either not quiet or curious and vice versa.
If someone is generous then someone is not creative and vice versa.
Everyone who is brave or not patient is not tall.
Everyone who is either not patient or not funny is not rich or not pa... | John is not tall. | contradiction | ((?[X]:((~generous(X)<~>rich(X))))=>(?[X]:(humble(X))))&
(![X]:(old(X)<=>(~quiet(X)<~>curious(X))))&
((?[X]:(generous(X)))<=>(?[X]:(~creative(X))))&
(![X]:((brave(X)|~patient(X))=>~tall(X)))&
(![X]:((~patient(X)<~>~funny(X))=>(~rich(X)|~patient(X))))&
(![X]:((wise(X)&~patient(X))=>(~generous(X)|~curious(X))))&
((~quiet... | ~tall(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6871950844713688937376584
% SZS output start Proof for 6871950844713688937376584
9. ! [X0] : ((~tall(X0) | wise(X0)) <=> tall(X0)) [input p8]
24. ~tall(john) [input hypothesis]
52. ! [X0] : (((~tall(X0) | wise(X0)) | ~tall(X0)) & (tall(X0) | (tall(X0) & ~wise(X0)))) [nnf transformation 9]... | 0 |
If someone is happy or not curious then someone is old or generous and vice versa. If lucy is both not humble and not funny then someone is both strong and quiet. Everyone who is kind is both not creative and humble. Everyone who is not rich is both not wise and calm and vice versa. If someone is curious then someone i... | John is not creative. | entailment | ((?[X]:((happy(X)|~curious(X))))<=>(?[X]:((old(X)|generous(X)))))&
(((~humble(lucy)&~funny(lucy)))=>(?[X]:((strong(X)&quiet(X)))))&
(![X]:(kind(X)=>(~creative(X)&humble(X))))&
(![X]:(~rich(X)<=>(~wise(X)&calm(X))))&
((?[X]:(curious(X)))=>(?[X]:((creative(X)|~rich(X)))))&
((?[X]:((~calm(X)<~>wise(X))))=>(~quiet(john)))&... | ~creative(john) | [
"p2",
"p8",
"p9",
"p10",
"p13",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2403826297199356581352805
% SZS output start Proof for 2403826297199356581352805
3. ! [X0] : (kind(X0) => (humble(X0) & ~creative(X0))) [input p2]
9. funny(susan) <=> ? [X0] : (quiet(X0) <~> ~curious(X0)) [input p8]
10. ! [X0] : (~creative(X0) <=> (~quiet(X0) & brave(X0))) [input p9]
11. ... | 0 |
If someone is either happy or calm then someone is either kind or not quiet and vice versa.
If susan is curious then john is either generous or old.
Everyone who is either not quiet or not old is curious or funny.
If mary is both not strong and humble then mary is either not generous or not calm and vice versa.
Everyon... | Mary is old. | neutral | ((?[X]:((happy(X)<~>calm(X))))<=>(?[X]:((kind(X)<~>~quiet(X)))))&
((curious(susan))=>((generous(john)<~>old(john))))&
(![X]:((~quiet(X)<~>~old(X))=>(curious(X)|funny(X))))&
(((~strong(mary)&humble(mary)))<=>((~generous(mary)<~>~calm(mary))))&
(![X]:(~patient(X)<=>generous(X)))&
(![X]:(happy(X)=>~strong(X)))&
((?[X]:((~... | old(mary) | [] | 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... | Lucy is rich. | 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... | rich(lucy) | [
"p0",
"p1",
"p2",
"p4",
"p7",
"p8",
"p10",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2485066558382228214642583
% SZS output start Proof for 2485066558382228214642583
1. (~curious(paul) | ~wise(paul)) <=> ~calm(lucy) [input p0]
2. ! [X0] : (curious(X0) <=> ~creative(X0)) [input p1]
3. ! [X0] : ((strong(X0) | old(X0)) => ~wise(X0)) [input p2]
5. ! [X0] : ((strong(X0) | crea... | 0 |
If john is happy or not happy then someone is brave. Everyone who is not wise or strong is not rich. Everyone who is not old or brave is quiet or not quiet. Everyone who is not kind is not curious or not quiet and vice versa. If someone is tall then someone is both not old and kind. If fred is both not strong and not f... | Alice is kind. | entailment | (((happy(john)|~happy(john)))=>(?[X]:(brave(X))))&
(![X]:((~wise(X)|strong(X))=>~rich(X)))&
(![X]:((~old(X)|brave(X))=>(quiet(X)|~quiet(X))))&
(![X]:(~kind(X)<=>(~curious(X)|~quiet(X))))&
((?[X]:(tall(X)))=>(?[X]:((~old(X)&kind(X)))))&
(((~strong(fred)&~funny(fred)))=>(?[X]:((~patient(X)&old(X)))))&
(![X]:((kind(X)<~>~... | kind(alice) | [
"p3",
"p6",
"p7",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5554145693091829995909728
% SZS output start Proof for 5554145693091829995909728
4. ! [X0] : (~kind(X0) <=> (~quiet(X0) | ~curious(X0))) [input p3]
7. ! [X0] : ((kind(X0) <~> ~strong(X0)) <=> (tall(X0) <~> strong(X0))) [input p6]
8. ! [X0] : ((~strong(X0) <~> brave(X0)) => ~tall(X0)) [inp... | 0 |
If someone is creative then mary is patient.
Everyone who is both not quiet and not old is either rich or wise.
Everyone who is both wise and curious is not creative or creative and vice versa.
If alice is strong then someone is not wise.
Everyone who is either not wise or not tall is not kind or kind.
Everyone who is ... | Paul is not rich. | neutral | ((?[X]:(creative(X)))=>(patient(mary)))&
(![X]:((~quiet(X)&~old(X))=>(rich(X)<~>wise(X))))&
(![X]:((wise(X)&curious(X))<=>(~creative(X)|creative(X))))&
((strong(alice))=>(?[X]:(~wise(X))))&
(![X]:((~wise(X)<~>~tall(X))=>(~kind(X)|kind(X))))&
(![X]:((creative(X)&~kind(X))<=>(~kind(X)<~>patient(X))))&
(![X]:((curious(X)&... | ~rich(paul) | [] | null | 0 |
If someone is not funny or not tall then john is both calm and not happy and vice versa.
If someone is both humble and not wise then lucy is both rich and not calm.
Everyone who is both not tall and happy is not quiet and vice versa.
If susan is both not old and creative then john is humble or not old and vice versa.
E... | John is not happy. | entailment | ((?[X]:((~funny(X)|~tall(X))))<=>((calm(john)&~happy(john))))&
((?[X]:((humble(X)&~wise(X))))=>((rich(lucy)&~calm(lucy))))&
(![X]:((~tall(X)&happy(X))<=>~quiet(X)))&
(((~old(susan)&creative(susan)))<=>((humble(john)|~old(john))))&
(![X]:((curious(X)<~>wise(X))=>(wise(X)|~patient(X))))&
(![X]:((~creative(X)|~humble(X))=... | ~happy(john) | [
"p0",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7225064010573115462152717
% SZS output start Proof for 7225064010573115462152717
1. ? [X0] : (~tall(X0) | ~funny(X0)) <=> (~happy(john) & calm(john)) [input p0]
12. ? [X0] : happy(X0) => ? [X0] : (creative(X0) & patient(X0)) [input p11]
15. ! [X0] : (tall(X0) => ~creative(X0)) [input p14]... | 0 |
Everyone who is either calm or not kind is both not brave and calm.
Everyone who is both funny and happy is either creative or rich and vice versa.
If someone is either not brave or not rich then mary is quiet or not old and vice versa.
Everyone who is both not patient and quiet is not happy.
Everyone who is old or kin... | Mary is not wise. | contradiction | (![X]:((calm(X)<~>~kind(X))=>(~brave(X)&calm(X))))&
(![X]:((funny(X)&happy(X))<=>(creative(X)<~>rich(X))))&
((?[X]:((~brave(X)<~>~rich(X))))<=>((quiet(mary)|~old(mary))))&
(![X]:((~patient(X)&quiet(X))=>~happy(X)))&
(![X]:((old(X)|kind(X))<=>old(X)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)... | ~wise(mary) | [
"p6",
"p9",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6753194389544255529930195
% SZS output start Proof for 6753194389544255529930195
7. ! [X0] : (wise(X0) <=> (happy(X0) | creative(X0))) [input p6]
10. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> rich(X0)) [input p9]
11. ? [X0] : (creative(X0) | ~strong(X0)) <=> ~rich(mary) [input p10]
21. cre... | 0 |
If mary is both tall and quiet then someone is either calm or not creative and vice versa.
Everyone who is either not old or quiet is either not rich or not generous.
Everyone who is both kind and not tall is strong.
If someone is both not calm and not generous then someone is either strong or not wise and vice versa.
... | Lucy is not generous. | contradiction | (((tall(mary)&quiet(mary)))<=>(?[X]:((calm(X)<~>~creative(X)))))&
(![X]:((~old(X)<~>quiet(X))=>(~rich(X)<~>~generous(X))))&
(![X]:((kind(X)&~tall(X))=>strong(X)))&
((?[X]:((~calm(X)&~generous(X))))<=>(?[X]:((strong(X)<~>~wise(X)))))&
((?[X]:(~humble(X)))<=>((rich(paul)<~>~creative(paul))))&
(![X]:((~calm(X)|strong(X))=... | ~generous(lucy) | [
"p12",
"p15",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1084660943769124831835540
% SZS output start Proof for 1084660943769124831835540
13. ! [X0] : ((~generous(X0) & wise(X0)) <=> ~generous(X0)) [input p12]
16. ! [X0] : ((~funny(X0) <~> ~wise(X0)) <=> ~curious(X0)) [input p15]
21. funny(lucy) & ~kind(lucy) [input p20]
23. generous(lucy) | ~c... | 0 |
Everyone who is either tall or not creative is either not funny or strong.
If paul is not humble or tall then someone is quiet.
Everyone who is not brave or not calm is both not tall and calm and vice versa.
Everyone who is both not tall and not brave is both not curious and not creative and vice versa.
If susan is eit... | Mary is not strong. | entailment | (![X]:((tall(X)<~>~creative(X))=>(~funny(X)<~>strong(X))))&
(((~humble(paul)|tall(paul)))=>(?[X]:(quiet(X))))&
(![X]:((~brave(X)|~calm(X))<=>(~tall(X)&calm(X))))&
(![X]:((~tall(X)&~brave(X))<=>(~curious(X)&~creative(X))))&
(((rich(susan)<~>~patient(susan)))=>(?[X]:((~funny(X)<~>quiet(X)))))&
((?[X]:((~creative(X)&calm(... | ~strong(mary) | [
"p0",
"p2",
"p3",
"p5",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3640062234103093160763266
% SZS output start Proof for 3640062234103093160763266
1. ! [X0] : ((tall(X0) <~> ~creative(X0)) => (~funny(X0) <~> strong(X0))) [input p0]
3. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> (calm(X0) & ~tall(X0))) [input p2]
4. ! [X0] : ((~brave(X0) & ~tall(X0)) <=> (~cr... | 0 |
Everyone who is humble or not wise is kind.
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 is not old and vice versa.
Everyone who is either not generous or happy is strong.
Everyone who... | Mary is not curious. | contradiction | (![X]:((humble(X)|~wise(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)|~rich(X))<=>(curious(X)&~patient(X))))&
(![X]:((strong(X)|k... | ~curious(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9167113973527637078922919
% SZS output start Proof for 9167113973527637078922919
11. ? [X0] : (generous(X0) | ~curious(X0)) => ? [X0] : (happy(X0) & ~happy(X0)) [input p10]
23. ~curious(mary) [input hypothesis]
24. ? [X0] : (generous(X0) | ~curious(X0)) => ? [X1] : (happy(X1) & ~happy(X1)... | 0 |
Everyone who is rich is both tall and not brave and vice versa.
Everyone who is either not curious or strong is either funny or patient.
If mary is both not funny and happy then alice is old or curious and vice versa.
Everyone who is either calm or not patient is either strong or happy and vice versa.
If fred is not st... | Alice is brave. | neutral | (![X]:(rich(X)<=>(tall(X)&~brave(X))))&
(![X]:((~curious(X)<~>strong(X))=>(funny(X)<~>patient(X))))&
(((~funny(mary)&happy(mary)))<=>((old(alice)|curious(alice))))&
(![X]:((calm(X)<~>~patient(X))<=>(strong(X)<~>happy(X))))&
((~strong(fred))<=>((~patient(alice)&wise(alice))))&
(![X]:((strong(X)&~happy(X))=>(generous(X)&... | brave(alice) | [] | null | 0 |
If john is either strong or not curious then lucy is either not strong or quiet.
If alice is both not old and brave then fred is either not curious or rich.
Everyone who is both generous and not old is either not humble or funny and vice versa.
Everyone who is wise or not humble is funny.
Everyone who is both happy and... | Alice is not strong. | neutral | (((strong(john)<~>~curious(john)))=>((~strong(lucy)<~>quiet(lucy))))&
(((~old(alice)&brave(alice)))=>((~curious(fred)<~>rich(fred))))&
(![X]:((generous(X)&~old(X))<=>(~humble(X)<~>funny(X))))&
(![X]:((wise(X)|~humble(X))=>funny(X)))&
(![X]:((happy(X)&~generous(X))=>(happy(X)|~humble(X))))&
(![X]:((wise(X)&curious(X))<=... | ~strong(alice) | [] | null | 0 |
Everyone who is tall is either not rich or not tall. If paul is either kind or not funny then mary is both creative and calm and vice versa. If alice is not creative then someone is both wise and happy and vice versa. Everyone who is humble or brave is not happy and vice versa. If someone is either not strong or not ki... | Mary is not curious. | contradiction | (![X]:(tall(X)=>(~rich(X)<~>~tall(X))))&
(((kind(paul)<~>~funny(paul)))<=>((creative(mary)&calm(mary))))&
((~creative(alice))<=>(?[X]:((wise(X)&happy(X)))))&
(![X]:((humble(X)|brave(X))<=>~happy(X)))&
((?[X]:((~strong(X)<~>~kind(X))))=>(?[X]:((old(X)<~>~kind(X)))))&
(![X]:((~kind(X)|~strong(X))=>(~brave(X)|~wise(X))))&... | ~curious(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1722195927830147116340279
% SZS output start Proof for 1722195927830147116340279
12. (old(lucy) & ~old(lucy)) <=> ? [X0] : (brave(X0) | ~curious(X0)) [input p11]
25. ~curious(mary) [input hypothesis]
54. ((old(lucy) & ~old(lucy)) | ! [X0] : (~brave(X0) & curious(X0))) & (? [X0] : (brave(X... | 0 |
If someone is brave then someone is wise. Everyone who is not wise or not curious is humble or not quiet and vice versa. If susan is old then mary is generous or not strong. Everyone who is not funny is both not tall and not happy and vice versa. Everyone who is either not creative or happy is both brave and calm. Ever... | Susan is creative. | neutral | ((?[X]:(brave(X)))=>(?[X]:(wise(X))))&
(![X]:((~wise(X)|~curious(X))<=>(humble(X)|~quiet(X))))&
((old(susan))=>((generous(mary)|~strong(mary))))&
(![X]:(~funny(X)<=>(~tall(X)&~happy(X))))&
(![X]:((~creative(X)<~>happy(X))=>(brave(X)&calm(X))))&
(![X]:((wise(X)|~generous(X))=>(tall(X)&~funny(X))))&
(![X]:((kind(X)|happy... | creative(susan) | [] | null | 0 |
Everyone who is humble or not tall is either strong or not happy and vice versa.
Everyone who is either strong or quiet is both not rich and not calm.
Everyone who is both strong and wise is calm.
If fred is not creative or humble then mary is not humble and vice versa.
If someone is funny or brave then john is funny.
... | John is not creative. | contradiction | (![X]:((humble(X)|~tall(X))<=>(strong(X)<~>~happy(X))))&
(![X]:((strong(X)<~>quiet(X))=>(~rich(X)&~calm(X))))&
(![X]:((strong(X)&wise(X))=>calm(X)))&
(((~creative(fred)|humble(fred)))<=>(~humble(mary)))&
((?[X]:((funny(X)|brave(X))))=>(funny(john)))&
(((calm(fred)<~>~creative(fred)))<=>(?[X]:(~rich(X))))&
(![X]:((funny... | ~creative(john) | [
"p0",
"p6",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6491012411333116166954903
% SZS output start Proof for 6491012411333116166954903
1. ! [X0] : ((~tall(X0) | humble(X0)) <=> (strong(X0) <~> ~happy(X0))) [input p0]
7. ! [X0] : ((funny(X0) <~> kind(X0)) <=> (tall(X0) & ~kind(X0))) [input p6]
8. ? [X0] : ~creative(X0) => ~funny(paul) [input ... | 0 |
Everyone who is either not quiet or tall is both kind and not brave and vice versa.
If alice is not curious or not quiet then someone is funny and vice versa.
Everyone who is calm or not strong is not quiet or not wise and vice versa.
If lucy is humble or strong then someone is either not curious or not happy.
Everyone... | John is wise. | entailment | (![X]:((~quiet(X)<~>tall(X))<=>(kind(X)&~brave(X))))&
(((~curious(alice)|~quiet(alice)))<=>(?[X]:(funny(X))))&
(![X]:((calm(X)|~strong(X))<=>(~quiet(X)|~wise(X))))&
(((humble(lucy)|strong(lucy)))=>(?[X]:((~curious(X)<~>~happy(X)))))&
(![X]:(~strong(X)<=>(calm(X)|tall(X))))&
((~funny(john))=>(~curious(alice)))&
((?[X]:(... | wise(john) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 18583806783306468259894
% SZS output start Proof for 18583806783306468259894
17. old(john) & wise(john) [input p16]
25. ~wise(john) [input hypothesis]
128. wise(john) [cnf transformation 17]
139. ~wise(john) [cnf transformation 25]
252. 25 <=> wise(john) [avatar definition]
283. 25 [avata... | 0 |
If someone is either curious or not old then someone is not funny.
If john is either not quiet or not strong then someone is either funny or quiet.
Everyone who is either kind or happy is not quiet and vice versa.
If someone is old or not generous then someone is either not happy or generous and vice versa.
Everyone wh... | Fred is old. | neutral | ((?[X]:((curious(X)<~>~old(X))))=>(?[X]:(~funny(X))))&
(((~quiet(john)<~>~strong(john)))=>(?[X]:((funny(X)<~>quiet(X)))))&
(![X]:((kind(X)<~>happy(X))<=>~quiet(X)))&
((?[X]:((old(X)|~generous(X))))<=>(?[X]:((~happy(X)<~>generous(X)))))&
(![X]:((calm(X)&~wise(X))<=>(~rich(X)|funny(X))))&
(![X]:((~patient(X)<~>~wise(X))=... | old(fred) | [] | null | 0 |
Everyone who is not wise is both not curious and wise.
Everyone who is wise is either calm or not strong and vice versa.
If someone is either strong or not quiet then paul is either not rich or not quiet and vice versa.
If someone is kind or old then fred is either happy or not patient.
Everyone who is either not rich ... | Lucy is humble. | entailment | (![X]:(~wise(X)=>(~curious(X)&wise(X))))&
(![X]:(wise(X)<=>(calm(X)<~>~strong(X))))&
((?[X]:((strong(X)<~>~quiet(X))))<=>((~rich(paul)<~>~quiet(paul))))&
((?[X]:((kind(X)|old(X))))=>((happy(fred)<~>~patient(fred))))&
(![X]:((~rich(X)<~>~old(X))<=>(~generous(X)<~>~rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(~wise(X)&~pati... | humble(lucy) | [
"p0",
"p4",
"p5",
"p7",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5433401239240013742183034
% SZS output start Proof for 5433401239240013742183034
1. ! [X0] : (~wise(X0) => (wise(X0) & ~curious(X0))) [input p0]
5. ! [X0] : ((~rich(X0) <~> ~old(X0)) <=> (~generous(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : ((quiet(X0) | ~happy(X0)) => (~patient(X0) & ~wi... | 0 |
Everyone who is either strong or not rich is either patient or not patient and vice versa. Everyone who is both rich and wise is either curious or not funny. Everyone who is both not curious and quiet is brave or not calm and vice versa. If someone is not quiet or not calm then someone is either rich or kind and vice v... | Paul is not rich. | neutral | (![X]:((strong(X)<~>~rich(X))<=>(patient(X)<~>~patient(X))))&
(![X]:((rich(X)&wise(X))=>(curious(X)<~>~funny(X))))&
(![X]:((~curious(X)&quiet(X))<=>(brave(X)|~calm(X))))&
((?[X]:((~quiet(X)|~calm(X))))<=>(?[X]:((rich(X)<~>kind(X)))))&
((?[X]:((~patient(X)&creative(X))))=>(?[X]:(old(X))))&
((?[X]:((~quiet(X)|~tall(X))))... | ~rich(paul) | [] | null | 0 |
If someone is both quiet and not old then someone is not strong.
If alice is not generous or humble then someone is both tall and not quiet and vice versa.
Everyone who is both not funny and not quiet is not kind or not tall.
Everyone who is both not funny and strong is either old or funny.
If someone is both not gener... | Fred is not happy. | neutral | ((?[X]:((quiet(X)&~old(X))))=>(?[X]:(~strong(X))))&
(((~generous(alice)|humble(alice)))<=>(?[X]:((tall(X)&~quiet(X)))))&
(![X]:((~funny(X)&~quiet(X))=>(~kind(X)|~tall(X))))&
(![X]:((~funny(X)&strong(X))=>(old(X)<~>funny(X))))&
((?[X]:((~generous(X)&happy(X))))<=>((~humble(fred)<~>~happy(fred))))&
(![X]:((~strong(X)&pat... | ~happy(fred) | [] | null | 0 |
If john is old then someone is either patient or curious.
If someone is both generous and wise then alice is quiet and vice versa.
Everyone who is either happy or not calm is either tall or quiet and vice versa.
If alice is either not calm or not patient then susan is not old.
Everyone who is not generous or not funny ... | Mary is funny. | entailment | ((old(john))=>(?[X]:((patient(X)<~>curious(X)))))&
((?[X]:((generous(X)&wise(X))))<=>(quiet(alice)))&
(![X]:((happy(X)<~>~calm(X))<=>(tall(X)<~>quiet(X))))&
(((~calm(alice)<~>~patient(alice)))=>(~old(susan)))&
(![X]:((~generous(X)|~funny(X))<=>(~creative(X)&happy(X))))&
(![X]:((funny(X)|curious(X))=>(~kind(X)<~>strong(... | funny(mary) | [
"p4",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 17694844582273438865134
% SZS output start Proof for 17694844582273438865134
5. ! [X0] : ((~funny(X0) | ~generous(X0)) <=> (happy(X0) & ~creative(X0))) [input p4]
18. ~old(mary) & creative(mary) [input p17]
25. ~funny(mary) [input hypothesis]
27. creative(mary) [pure predicate removal 18]... | 0 |
Everyone who is both not humble and strong is both tall and not brave. If someone is funny or curious then lucy is not humble or patient and vice versa. If someone is kind or rich then someone is either wise or not creative and vice versa. If susan is humble or patient then someone is both happy and not curious. If som... | Susan is not patient. | entailment | (![X]:((~humble(X)&strong(X))=>(tall(X)&~brave(X))))&
((?[X]:((funny(X)|curious(X))))<=>((~humble(lucy)|patient(lucy))))&
((?[X]:((kind(X)|rich(X))))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susan)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:(~calm(X)))=>((curious(mary)<~>~patient(mary))))&
(![X]:... | ~patient(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5405492117350498917196598
% SZS output start Proof for 5405492117350498917196598
10. ! [X0] : (~creative(X0) <=> (patient(X0) <~> ~creative(X0))) [input p9]
23. patient(susan) [input hypothesis]
63. ! [X0] : ((~creative(X0) | ((patient(X0) | creative(X0)) & (~creative(X0) | ~patient(X0)))... | 0 |
If someone is not happy then mary is either not generous or wise.
If lucy is both not quiet and generous then someone is both kind and not funny.
If someone is funny then susan is happy.
Everyone who is calm or not rich is not quiet or not creative and vice versa.
Everyone who is both not calm and not wise is not gener... | Lucy is generous. | neutral | ((?[X]:(~happy(X)))=>((~generous(mary)<~>wise(mary))))&
(((~quiet(lucy)&generous(lucy)))=>(?[X]:((kind(X)&~funny(X)))))&
((?[X]:(funny(X)))=>(happy(susan)))&
(![X]:((calm(X)|~rich(X))<=>(~quiet(X)|~creative(X))))&
(![X]:((~calm(X)&~wise(X))=>(~generous(X)|happy(X))))&
((?[X]:(calm(X)))=>((humble(mary)<~>~rich(mary))))&... | generous(lucy) | [] | null | 0 |
Everyone who is either strong or not calm is wise or not humble.
If paul is not generous or not strong then someone is both not humble and tall and vice versa.
Everyone who is either old or generous is either not calm or not creative and vice versa.
Everyone who is not patient or patient is both tall and not humble and... | John is curious. | entailment | (![X]:((strong(X)<~>~calm(X))=>(wise(X)|~humble(X))))&
(((~generous(paul)|~strong(paul)))<=>(?[X]:((~humble(X)&tall(X)))))&
(![X]:((old(X)<~>generous(X))<=>(~calm(X)<~>~creative(X))))&
(![X]:((~patient(X)|patient(X))<=>(tall(X)&~humble(X))))&
(![X]:((~tall(X)|kind(X))<=>~happy(X)))&
(![X]:((~curious(X)|happy(X))=>(stro... | curious(john) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4065375674340034784546990
% SZS output start Proof for 4065375674340034784546990
4. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (~humble(X0) & tall(X0))) [input p3]
6. ! [X0] : ((happy(X0) | ~curious(X0)) => (~tall(X0) & strong(X0))) [input p5]
24. ~curious(john) [input hypothesis]
29. ! [... | 0 |
Everyone who is either not wise or generous is not generous or not brave and vice versa. If mary is both not calm and happy then lucy is either not strong or funny. Everyone who is not generous or strong is either creative or not strong and vice versa. If someone is brave or old then lucy is not old. If alice is both t... | Mary is not happy. | contradiction | (![X]:((~wise(X)<~>generous(X))<=>(~generous(X)|~brave(X))))&
(((~calm(mary)&happy(mary)))=>((~strong(lucy)<~>funny(lucy))))&
(![X]:((~generous(X)|strong(X))<=>(creative(X)<~>~strong(X))))&
((?[X]:((brave(X)|old(X))))=>(~old(lucy)))&
(((tall(alice)&~funny(alice)))<=>(?[X]:(~humble(X))))&
(((tall(susan)&happy(susan)))<=... | ~happy(mary) | [
"p2",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2362905930695321323833318
% SZS output start Proof for 2362905930695321323833318
3. ! [X0] : ((strong(X0) | ~generous(X0)) <=> (creative(X0) <~> ~strong(X0))) [input p2]
15. ! [X0] : ((happy(X0) & ~humble(X0)) <=> creative(X0)) [input p14]
16. ! [X0] : ((creative(X0) <~> ~strong(X0)) => (... | 0 |
Everyone who is both not wise and tall is old or not curious.
Everyone who is either calm or not happy is quiet or not funny and vice versa.
If mary is either generous or rich then alice is not funny or happy.
Everyone who is either generous or not tall is both not curious and calm and vice versa.
Everyone who is both ... | Mary is curious. | neutral | (![X]:((~wise(X)&tall(X))=>(old(X)|~curious(X))))&
(![X]:((calm(X)<~>~happy(X))<=>(quiet(X)|~funny(X))))&
(((generous(mary)<~>rich(mary)))=>((~funny(alice)|happy(alice))))&
(![X]:((generous(X)<~>~tall(X))<=>(~curious(X)&calm(X))))&
(![X]:((strong(X)&kind(X))<=>~calm(X)))&
((~generous(paul))=>(?[X]:((~old(X)|strong(X)))... | curious(mary) | [] | null | 0 |
Everyone who is funny is not funny or rich.
Everyone who is not humble or not wise is either patient or not calm.
Everyone who is either not wise or not humble is either not tall or brave and vice versa.
Everyone who is either not kind or not old is not old or not wise.
Everyone who is brave or not strong is tall.
Ever... | Alice is not calm. | entailment | (![X]:(funny(X)=>(~funny(X)|rich(X))))&
(![X]:((~humble(X)|~wise(X))=>(patient(X)<~>~calm(X))))&
(![X]:((~wise(X)<~>~humble(X))<=>(~tall(X)<~>brave(X))))&
(![X]:((~kind(X)<~>~old(X))=>(~old(X)|~wise(X))))&
(![X]:((brave(X)|~strong(X))=>tall(X)))&
(![X]:((patient(X)<~>wise(X))<=>(~quiet(X)<~>~curious(X))))&
((?[X]:((~br... | ~calm(alice) | [
"p1",
"p2",
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7914704756126628288867062
% SZS output start Proof for 7914704756126628288867062
2. ! [X0] : ((~wise(X0) | ~humble(X0)) => (patient(X0) <~> ~calm(X0))) [input p1]
3. ! [X0] : ((~wise(X0) <~> ~humble(X0)) <=> (~tall(X0) <~> brave(X0))) [input p2]
5. ! [X0] : ((~strong(X0) | brave(X0)) => t... | 0 |
Everyone who is not brave or not creative is both calm and strong. If mary is not funny then someone is either not patient or not quiet and vice versa. If someone is not calm or not quiet then lucy is both brave and not funny. If someone is both not curious and not rich then john is not tall or patient and vice versa. ... | Lucy is generous. | entailment | (![X]:((~brave(X)|~creative(X))=>(calm(X)&strong(X))))&
((~funny(mary))<=>(?[X]:((~patient(X)<~>~quiet(X)))))&
((?[X]:((~calm(X)|~quiet(X))))=>((brave(lucy)&~funny(lucy))))&
((?[X]:((~curious(X)&~rich(X))))<=>((~tall(john)|patient(john))))&
(((quiet(mary)<~>~tall(mary)))<=>(?[X]:((~rich(X)<~>tall(X)))))&
(![X]:((~old(X... | generous(lucy) | [
"p2",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3553267903602346884887703
% SZS output start Proof for 3553267903602346884887703
3. ? [X0] : (~quiet(X0) | ~calm(X0)) => (~funny(lucy) & brave(lucy)) [input p2]
14. ! [X0] : (generous(X0) <=> (~curious(X0) | ~tall(X0))) [input p13]
15. ! [X0] : ((~funny(X0) | ~quiet(X0)) => (generous(X0) ... | 0 |
If alice is not quiet then someone is not strong or not funny and vice versa.
Everyone who is not brave or old is either patient or rich.
If someone is quiet then fred is either rich or tall.
If john is funny then someone is both old and not calm and vice versa.
If lucy is brave or calm then susan is creative and vice ... | John is curious. | entailment | ((~quiet(alice))<=>(?[X]:((~strong(X)|~funny(X)))))&
(![X]:((~brave(X)|old(X))=>(patient(X)<~>rich(X))))&
((?[X]:(quiet(X)))=>((rich(fred)<~>tall(fred))))&
((funny(john))<=>(?[X]:((old(X)&~calm(X)))))&
(((brave(lucy)|calm(lucy)))<=>(creative(susan)))&
(![X]:((strong(X)&calm(X))<=>(~generous(X)|~rich(X))))&
(![X]:((quie... | curious(john) | [
"p1",
"p3",
"p5",
"p6",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5845661420096409793825352
% SZS output start Proof for 5845661420096409793825352
2. ! [X0] : ((old(X0) | ~brave(X0)) => (patient(X0) <~> rich(X0))) [input p1]
4. funny(john) <=> ? [X0] : (~calm(X0) & old(X0)) [input p3]
6. ! [X0] : ((calm(X0) & strong(X0)) <=> (~rich(X0) | ~generous(X0)))... | 0 |
If someone is not humble or calm then someone is both rich and funny and vice versa.
Everyone who is both tall and not funny is both not brave and calm and vice versa.
Everyone who is not generous is funny or not rich.
Everyone who is not generous or not curious is either not rich or not happy and vice versa.
If someon... | Alice is old. | neutral | ((?[X]:((~humble(X)|calm(X))))<=>(?[X]:((rich(X)&funny(X)))))&
(![X]:((tall(X)&~funny(X))<=>(~brave(X)&calm(X))))&
(![X]:(~generous(X)=>(funny(X)|~rich(X))))&
(![X]:((~generous(X)|~curious(X))<=>(~rich(X)<~>~happy(X))))&
((?[X]:((~strong(X)&humble(X))))<=>(?[X]:((happy(X)&rich(X)))))&
(![X]:((rich(X)|~curious(X))<=>~pa... | old(alice) | [] | null | 0 |
If someone is generous then alice is both not rich and tall.
Everyone who is not wise or not patient is not kind and vice versa.
If john is not wise or generous then lucy is either generous or not happy and vice versa.
If someone is either wise or not curious then mary is not humble and vice versa.
If someone is both n... | Paul is humble. | entailment | ((?[X]:(generous(X)))=>((~rich(alice)&tall(alice))))&
(![X]:((~wise(X)|~patient(X))<=>~kind(X)))&
(((~wise(john)|generous(john)))<=>((generous(lucy)<~>~happy(lucy))))&
((?[X]:((wise(X)<~>~curious(X))))<=>(~humble(mary)))&
((?[X]:((~brave(X)&patient(X))))<=>((old(fred)<~>~patient(fred))))&
(![X]:((~patient(X)|quiet(X))<... | humble(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 468554779418422801852871
% SZS output start Proof for 468554779418422801852871
21. humble(paul) [input p20]
23. ~humble(paul) [input hypothesis]
142. humble(paul) [cnf transformation 21]
145. ~humble(paul) [cnf transformation 23]
333. 39 <=> humble(paul) [avatar definition]
367. 39 [avata... | 0 |
If someone is brave then someone is either not tall or patient.
If someone is either patient or curious then someone is not old or curious and vice versa.
Everyone who is strong or happy is both not kind and strong.
If mary is both tall and quiet then someone is curious or wise and vice versa.
If someone is rich or not... | Mary is not curious. | neutral | ((?[X]:(brave(X)))=>(?[X]:((~tall(X)<~>patient(X)))))&
((?[X]:((patient(X)<~>curious(X))))<=>(?[X]:((~old(X)|curious(X)))))&
(![X]:((strong(X)|happy(X))=>(~kind(X)&strong(X))))&
(((tall(mary)&quiet(mary)))<=>(?[X]:((curious(X)|wise(X)))))&
((?[X]:((rich(X)|~curious(X))))=>(?[X]:((happy(X)&~kind(X)))))&
((?[X]:(brave(X)... | ~curious(mary) | [] | null | 0 |
Everyone who is not humble or funny is not strong or quiet and vice versa. Everyone who is funny is tall. Everyone who is either wise or not tall is both curious and generous. If fred is calm then mary is kind. Everyone who is not humble is calm and vice versa. If someone is both calm and not happy then paul is both no... | John is funny. | contradiction | (![X]:((~humble(X)|funny(X))<=>(~strong(X)|quiet(X))))&
(![X]:(funny(X)=>tall(X)))&
(![X]:((wise(X)<~>~tall(X))=>(curious(X)&generous(X))))&
((calm(fred))=>(kind(mary)))&
(![X]:(~humble(X)<=>calm(X)))&
((?[X]:((calm(X)&~happy(X))))=>((~funny(paul)&~kind(paul))))&
((~funny(john))<=>(?[X]:((kind(X)&~funny(X)))))&
(![X]:(... | funny(john) | [
"p3",
"p4",
"p6",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7900313864873847906919623
% SZS output start Proof for 7900313864873847906919623
4. calm(fred) => kind(mary) [input p3]
5. ! [X0] : (~humble(X0) <=> calm(X0)) [input p4]
7. ~funny(john) <=> ? [X0] : (~funny(X0) & kind(X0)) [input p6]
8. ! [X0] : ((humble(X0) | ~rich(X0)) => (~humble(X0) &... | 0 |
Everyone who is either tall or not old is humble or wise.
Everyone who is either not old or not tall is humble.
If lucy is both not tall and not patient then someone is both patient and not creative.
Everyone who is both not strong and quiet is wise and vice versa.
Everyone who is not creative or not brave is either cr... | Fred is brave. | contradiction | (![X]:((tall(X)<~>~old(X))=>(humble(X)|wise(X))))&
(![X]:((~old(X)<~>~tall(X))=>humble(X)))&
(((~tall(lucy)&~patient(lucy)))=>(?[X]:((patient(X)&~creative(X)))))&
(![X]:((~strong(X)&quiet(X))<=>wise(X)))&
(![X]:((~creative(X)|~brave(X))<=>(creative(X)<~>~brave(X))))&
(((~kind(fred)<~>patient(fred)))=>(?[X]:((~curious(X... | brave(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3256765434701412360251673
% SZS output start Proof for 3256765434701412360251673
5. ! [X0] : ((~brave(X0) | ~creative(X0)) <=> (creative(X0) <~> ~brave(X0))) [input p4]
24. brave(fred) [input hypothesis]
45. ! [X0] : (((~brave(X0) | ~creative(X0)) | ((creative(X0) | brave(X0)) & (~brave(X... | 0 |
If susan is creative or generous then alice is either not funny or not quiet and vice versa.
Everyone who is both not curious and not brave is either not wise or creative and vice versa.
If mary is curious then someone is not brave and vice versa.
If alice is either old or generous then someone is rich or calm.
Everyon... | Mary is not curious. | contradiction | (((creative(susan)|generous(susan)))<=>((~funny(alice)<~>~quiet(alice))))&
(![X]:((~curious(X)&~brave(X))<=>(~wise(X)<~>creative(X))))&
((curious(mary))<=>(?[X]:(~brave(X))))&
(((old(alice)<~>generous(alice)))=>(?[X]:((rich(X)|calm(X)))))&
(![X]:((~funny(X)<~>~rich(X))<=>(~wise(X)<~>~rich(X))))&
(![X]:((~brave(X)&gener... | ~curious(mary) | [
"p2",
"p4",
"p5",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8670930440658903238890256
% SZS output start Proof for 8670930440658903238890256
3. curious(mary) <=> ? [X0] : ~brave(X0) [input p2]
5. ! [X0] : ((~funny(X0) <~> ~rich(X0)) <=> (~wise(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : ((generous(X0) & ~brave(X0)) <=> (funny(X0) <~> ~strong(X0))) ... | 0 |
If someone is either happy or not generous then paul is either creative or not happy and vice versa. If susan is both creative and not wise then someone is either patient or strong. Everyone who is either not old or not strong is not quiet or not happy. If lucy is strong or curious then paul is not creative and vice ve... | Susan is rich. | entailment | ((?[X]:((happy(X)<~>~generous(X))))<=>((creative(paul)<~>~happy(paul))))&
(((creative(susan)&~wise(susan)))=>(?[X]:((patient(X)<~>strong(X)))))&
(![X]:((~old(X)<~>~strong(X))=>(~quiet(X)|~happy(X))))&
(((strong(lucy)|curious(lucy)))<=>(~creative(paul)))&
(![X]:((old(X)|~tall(X))=>~strong(X)))&
(![X]:((quiet(X)|~curious... | rich(susan) | [
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3349717646868810867101555
% SZS output start Proof for 3349717646868810867101555
9. ? [X0] : (humble(X0) <~> rich(X0)) <=> ~wise(lucy) [input p8]
10. ! [X0] : ((humble(X0) & old(X0)) <=> (calm(X0) | ~rich(X0))) [input p9]
12. ! [X0] : ((calm(X0) & ~old(X0)) <=> (~quiet(X0) & ~humble(X0)))... | 0 |
If paul is not quiet then fred is strong or not kind. If someone is both not humble and patient then someone is both not patient and not strong. Everyone who is not brave is not calm and vice versa. Everyone who is both not funny and not quiet is not calm. Everyone who is either wise or patient is both funny and not cu... | Paul is not brave. | contradiction | ((~quiet(paul))=>((strong(fred)|~kind(fred))))&
((?[X]:((~humble(X)&patient(X))))=>(?[X]:((~patient(X)&~strong(X)))))&
(![X]:(~brave(X)<=>~calm(X)))&
(![X]:((~funny(X)&~quiet(X))=>~calm(X)))&
(![X]:((wise(X)<~>patient(X))=>(funny(X)&~curious(X))))&
(![X]:((~wise(X)|~calm(X))<=>~wise(X)))&
(![X]:((~humble(X)<~>old(X))<=... | ~brave(paul) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9028196795702928654145138
% SZS output start Proof for 9028196795702928654145138
3. ! [X0] : (~brave(X0) <=> ~calm(X0)) [input p2]
10. ! [X0] : ((calm(X0) & ~patient(X0)) <=> (~old(X0) | ~calm(X0))) [input p9]
19. ~brave(paul) [input hypothesis]
37. ! [X0] : ((~brave(X0) | calm(X0)) & (~c... | 0 |
Everyone who is quiet is either not creative or funny. Everyone who is not calm is not brave. Everyone who is both not kind and humble is either not generous or not tall and vice versa. If someone is either not old or quiet then mary is both old and not tall and vice versa. Everyone who is both funny and not happy is n... | Susan is quiet. | entailment | (![X]:(quiet(X)=>(~creative(X)<~>funny(X))))&
(![X]:(~calm(X)=>~brave(X)))&
(![X]:((~kind(X)&humble(X))<=>(~generous(X)<~>~tall(X))))&
((?[X]:((~old(X)<~>quiet(X))))<=>((old(mary)&~tall(mary))))&
(![X]:((funny(X)&~happy(X))<=>(~funny(X)|~tall(X))))&
(![X]:((wise(X)|curious(X))<=>(funny(X)|~old(X))))&
(![X]:(~rich(X)<=>... | quiet(susan) | [
"p4",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4737416389692909144472172
% SZS output start Proof for 4737416389692909144472172
5. ! [X0] : ((~happy(X0) & funny(X0)) <=> (~tall(X0) | ~funny(X0))) [input p4]
12. tall(susan) <=> (funny(alice) | happy(alice)) [input p11]
15. (~quiet(susan) <~> ~tall(susan)) <=> ? [X0] : ~funny(X0) [input... | 0 |
If someone is either not humble or not patient then someone is calm and vice versa.
If someone is either not strong or not patient then paul is both generous and rich and vice versa.
Everyone who is both not kind and tall is not calm or rich.
If someone is not humble then someone is kind or not tall.
Everyone who is br... | Lucy is creative. | contradiction | ((?[X]:((~humble(X)<~>~patient(X))))<=>(?[X]:(calm(X))))&
((?[X]:((~strong(X)<~>~patient(X))))<=>((generous(paul)&rich(paul))))&
(![X]:((~kind(X)&tall(X))=>(~calm(X)|rich(X))))&
((?[X]:(~humble(X)))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(generou... | creative(lucy) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8938024570471981357630610
% SZS output start Proof for 8938024570471981357630610
1. ? [X0] : (~humble(X0) <~> ~patient(X0)) <=> ? [X0] : calm(X0) [input p0]
2. ? [X0] : (~strong(X0) <~> ~patient(X0)) <=> (rich(paul) & generous(paul)) [input p1]
5. ! [X0] : (brave(X0) <=> (~generous(X0) <~... | 0 |
If someone is either not creative or wise then someone is curious and vice versa.
Everyone who is both kind and not kind is rich and vice versa.
If fred is both not quiet and not creative then someone is both not kind and not brave and vice versa.
Everyone who is not creative or strong is not quiet.
If alice is not qui... | Alice is funny. | neutral | ((?[X]:((~creative(X)<~>wise(X))))<=>(?[X]:(curious(X))))&
(![X]:((kind(X)&~kind(X))<=>rich(X)))&
(((~quiet(fred)&~creative(fred)))<=>(?[X]:((~kind(X)&~brave(X)))))&
(![X]:((~creative(X)|strong(X))=>~quiet(X)))&
(((~quiet(alice)|~tall(alice)))<=>(humble(lucy)))&
(![X]:((~wise(X)<~>patient(X))=>(~rich(X)&kind(X))))&
(![... | funny(alice) | [] | null | 0 |
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