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 not kind is either not calm or kind and vice versa. Everyone who is quiet or not happy is not calm. Everyone who is either quiet or not generous is both happy and wise and vice versa. Everyone who is not happy or curious is not creative or generous and vice versa. If fred is not patient then lucy is not... | Lucy is not strong. | neutral | (![X]:(~kind(X)<=>(~calm(X)<~>kind(X))))&
(![X]:((quiet(X)|~happy(X))=>~calm(X)))&
(![X]:((quiet(X)<~>~generous(X))<=>(happy(X)&wise(X))))&
(![X]:((~happy(X)|curious(X))<=>(~creative(X)|generous(X))))&
((~patient(fred))<=>(~wise(lucy)))&
(![X]:((happy(X)&funny(X))<=>(rich(X)<~>generous(X))))&
(((~kind(alice)<~>~creativ... | ~strong(lucy) | [] | null | 0 |
If someone is not humble then alice is either not kind or wise and vice versa.
Everyone who is both old and happy is quiet or wise.
If someone is not creative then someone is old and vice versa.
If alice is both kind and not strong then someone is both not strong and rich and vice versa.
If someone is not curious then ... | Mary is strong. | neutral | ((?[X]:(~humble(X)))<=>((~kind(alice)<~>wise(alice))))&
(![X]:((old(X)&happy(X))=>(quiet(X)|wise(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(old(X))))&
(((kind(alice)&~strong(alice)))<=>(?[X]:((~strong(X)&rich(X)))))&
((?[X]:(~curious(X)))=>(?[X]:((patient(X)|brave(X)))))&
(((happy(mary)&rich(mary)))<=>(?[X]:((~wise(X)&~gen... | strong(mary) | [] | null | 0 |
If alice is either not happy or not humble then alice is not wise or humble.
Everyone who is either quiet or not happy is either not rich or not creative and vice versa.
If john is kind then fred is calm.
Everyone who is both not humble and not rich is either not patient or not old.
Everyone who is not wise or not kind... | Mary is not brave. | entailment | (((~happy(alice)<~>~humble(alice)))=>((~wise(alice)|humble(alice))))&
(![X]:((quiet(X)<~>~happy(X))<=>(~rich(X)<~>~creative(X))))&
((kind(john))=>(calm(fred)))&
(![X]:((~humble(X)&~rich(X))=>(~patient(X)<~>~old(X))))&
(![X]:((~wise(X)|~kind(X))=>humble(X)))&
(![X]:((~creative(X)<~>~curious(X))=>~generous(X)))&
((brave(... | ~brave(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 83739525502537920829944
% SZS output start Proof for 83739525502537920829944
10. ! [X0] : ((~brave(X0) | ~happy(X0)) <=> happy(X0)) [input p9]
23. brave(mary) [input hypothesis]
49. ! [X0] : (((~brave(X0) | ~happy(X0)) | ~happy(X0)) & (happy(X0) | (brave(X0) & happy(X0)))) [nnf transforma... | 0 |
Everyone who is kind or brave is not humble and vice versa. If someone is both curious and not rich then mary is calm and vice versa. If fred is both not old and not calm then paul is either wise or not rich. If someone is humble or not creative then lucy is either curious or calm. If someone is kind or patient then fr... | Paul is old. | neutral | (![X]:((kind(X)|brave(X))<=>~humble(X)))&
((?[X]:((curious(X)&~rich(X))))<=>(calm(mary)))&
(((~old(fred)&~calm(fred)))=>((wise(paul)<~>~rich(paul))))&
((?[X]:((humble(X)|~creative(X))))=>((curious(lucy)<~>calm(lucy))))&
((?[X]:((kind(X)|patient(X))))=>((wise(fred)<~>~kind(fred))))&
((brave(mary))=>(?[X]:((~quiet(X)&~ol... | old(paul) | [] | null | 0 |
If lucy is either not tall or tall then alice is not kind and vice versa. Everyone who is happy is humble and vice versa. Everyone who is either not old or not quiet is curious or not creative and vice versa. Everyone who is strong or brave is not patient. Everyone who is either not generous or not funny is both not cr... | Mary is not calm. | entailment | (((~tall(lucy)<~>tall(lucy)))<=>(~kind(alice)))&
(![X]:(happy(X)<=>humble(X)))&
(![X]:((~old(X)<~>~quiet(X))<=>(curious(X)|~creative(X))))&
(![X]:((strong(X)|brave(X))=>~patient(X)))&
(![X]:((~generous(X)<~>~funny(X))<=>(~creative(X)&~patient(X))))&
(![X]:((humble(X)|~strong(X))<=>(patient(X)&~brave(X))))&
(![X]:((~qui... | ~calm(mary) | [
"p1",
"p5",
"p6",
"p9",
"p10",
"p13",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4555410213166646369912555
% SZS output start Proof for 4555410213166646369912555
2. ! [X0] : (happy(X0) <=> humble(X0)) [input p1]
6. ! [X0] : ((~strong(X0) | humble(X0)) <=> (~brave(X0) & patient(X0))) [input p5]
7. ! [X0] : ((~generous(X0) | ~quiet(X0)) <=> (kind(X0) | humble(X0))) [inp... | 0 |
Everyone who is humble or happy is not old or not quiet and vice versa.
If lucy is both not funny and not kind then fred is either rich or humble and vice versa.
Everyone who is tall or kind is both not humble and not calm and vice versa.
Everyone who is either not generous or not strong is both not creative and not wi... | Paul is wise. | neutral | (![X]:((humble(X)|happy(X))<=>(~old(X)|~quiet(X))))&
(((~funny(lucy)&~kind(lucy)))<=>((rich(fred)<~>humble(fred))))&
(![X]:((tall(X)|kind(X))<=>(~humble(X)&~calm(X))))&
(![X]:((~generous(X)<~>~strong(X))=>(~creative(X)&~wise(X))))&
(![X]:(~wise(X)<=>(quiet(X)<~>~generous(X))))&
((?[X]:((kind(X)&~calm(X))))<=>(?[X]:((~t... | wise(paul) | [] | null | 0 |
Everyone who is not tall is both not brave and tall and vice versa.
If fred is either brave or not patient then someone is brave or not patient.
Everyone who is brave or not kind is not patient and vice versa.
Everyone who is either not generous or not curious is not tall or not strong.
If someone is not brave or patie... | John is not patient. | entailment | (![X]:(~tall(X)<=>(~brave(X)&tall(X))))&
(((brave(fred)<~>~patient(fred)))=>(?[X]:((brave(X)|~patient(X)))))&
(![X]:((brave(X)|~kind(X))<=>~patient(X)))&
(![X]:((~generous(X)<~>~curious(X))=>(~tall(X)|~strong(X))))&
((?[X]:((~brave(X)|patient(X))))=>(?[X]:((~rich(X)|~generous(X)))))&
((?[X]:((brave(X)<~>~kind(X))))<=>(... | ~patient(john) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7090686130536018680658502
% SZS output start Proof for 7090686130536018680658502
1. ! [X0] : (~tall(X0) <=> (tall(X0) & ~brave(X0))) [input p0]
3. ! [X0] : ((~kind(X0) | brave(X0)) <=> ~patient(X0)) [input p2]
24. patient(john) [input hypothesis]
36. ! [X0] : ((~tall(X0) | (~tall(X0) | br... | 0 |
If someone is not calm or funny then mary is either not brave or not curious. If alice is either not generous or old then someone is not happy and vice versa. Everyone who is either calm or funny is both curious and not wise. If someone is either not strong or calm then fred is not brave and vice versa. Everyone who is... | Lucy is funny. | entailment | ((?[X]:((~calm(X)|funny(X))))=>((~brave(mary)<~>~curious(mary))))&
(((~generous(alice)<~>old(alice)))<=>(?[X]:(~happy(X))))&
(![X]:((calm(X)<~>funny(X))=>(curious(X)&~wise(X))))&
((?[X]:((~strong(X)<~>calm(X))))<=>(~brave(fred)))&
(![X]:((rich(X)|~calm(X))<=>(~humble(X)<~>humble(X))))&
(![X]:((~rich(X)|~happy(X))=>brav... | funny(lucy) | [
"p2",
"p4",
"p8",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1081848808993445406642011
% SZS output start Proof for 1081848808993445406642011
3. ! [X0] : ((calm(X0) <~> funny(X0)) => (~wise(X0) & curious(X0))) [input p2]
5. ! [X0] : ((~calm(X0) | rich(X0)) <=> (~humble(X0) <~> humble(X0))) [input p4]
9. ! [X0] : (calm(X0) <=> rich(X0)) [input p8]
1... | 0 |
If someone is either quiet or calm then mary is either not curious or not rich and vice versa.
If someone is both brave and strong then lucy is both not quiet and quiet.
If lucy is either tall or not curious then someone is either not calm or rich and vice versa.
If john is not patient then someone is curious or not ri... | Mary is generous. | contradiction | ((?[X]:((quiet(X)<~>calm(X))))<=>((~curious(mary)<~>~rich(mary))))&
((?[X]:((brave(X)&strong(X))))=>((~quiet(lucy)&quiet(lucy))))&
(((tall(lucy)<~>~curious(lucy)))<=>(?[X]:((~calm(X)<~>rich(X)))))&
((~patient(john))=>(?[X]:((curious(X)|~rich(X)))))&
(![X]:((patient(X)|~brave(X))=>(~old(X)|strong(X))))&
(![X]:((~calm(X)... | generous(mary) | [
"p1",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6023515443994158956616915
% SZS output start Proof for 6023515443994158956616915
2. ? [X0] : (strong(X0) & brave(X0)) => (quiet(lucy) & ~quiet(lucy)) [input p1]
6. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (funny(X0) & ~funny(X0))) [input p5]
11. ! [X0] : ((strong(X0) <~> generous(X0)) <=> (... | 0 |
Everyone who is either humble or old is patient or rich and vice versa.
If someone is calm or quiet then someone is humble or tall and vice versa.
Everyone who is not curious or calm is both quiet and happy.
Everyone who is either patient or not happy is not generous or strong and vice versa.
Everyone who is either fun... | Fred is not happy. | contradiction | (![X]:((humble(X)<~>old(X))<=>(patient(X)|rich(X))))&
((?[X]:((calm(X)|quiet(X))))<=>(?[X]:((humble(X)|tall(X)))))&
(![X]:((~curious(X)|calm(X))=>(quiet(X)&happy(X))))&
(![X]:((patient(X)<~>~happy(X))<=>(~generous(X)|strong(X))))&
(![X]:((funny(X)<~>~humble(X))=>rich(X)))&
((?[X]:(~strong(X)))<=>(?[X]:((~quiet(X)|old(X... | ~happy(fred) | [
"p0",
"p2",
"p5",
"p7",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7262968602926735147962713
% SZS output start Proof for 7262968602926735147962713
1. ! [X0] : ((humble(X0) <~> old(X0)) <=> (rich(X0) | patient(X0))) [input p0]
3. ! [X0] : ((calm(X0) | ~curious(X0)) => (happy(X0) & quiet(X0))) [input p2]
6. ? [X0] : ~strong(X0) <=> ? [X0] : (old(X0) | ~qu... | 0 |
Everyone who is calm is both kind and calm.
Everyone who is both not rich and rich is old or tall.
Everyone who is not funny is both curious and not patient and vice versa.
Everyone who is not humble or patient is wise and vice versa.
Everyone who is not kind is both wise and patient and vice versa.
Everyone who is not... | Alice is happy. | neutral | (![X]:(calm(X)=>(kind(X)&calm(X))))&
(![X]:((~rich(X)&rich(X))=>(old(X)|tall(X))))&
(![X]:(~funny(X)<=>(curious(X)&~patient(X))))&
(![X]:((~humble(X)|patient(X))<=>wise(X)))&
(![X]:(~kind(X)<=>(wise(X)&patient(X))))&
(![X]:(~funny(X)<=>(~brave(X)<~>brave(X))))&
((?[X]:((kind(X)&wise(X))))=>((~humble(fred)&~wise(fred)))... | happy(alice) | [] | null | 0 |
Everyone who is both not creative and calm is both wise and not calm and vice versa. If mary is both quiet and calm then fred is happy or not rich and vice versa. If john is both strong and humble then someone is calm and vice versa. Everyone who is not kind is not humble or not patient and vice versa. Everyone who is ... | Paul is not patient. | contradiction | (![X]:((~creative(X)&calm(X))<=>(wise(X)&~calm(X))))&
(((quiet(mary)&calm(mary)))<=>((happy(fred)|~rich(fred))))&
(((strong(john)&humble(john)))<=>(?[X]:(calm(X))))&
(![X]:(~kind(X)<=>(~humble(X)|~patient(X))))&
(![X]:((~strong(X)<~>~funny(X))<=>quiet(X)))&
(((curious(john)<~>~patient(john)))<=>(?[X]:(patient(X))))&
(!... | ~patient(paul) | [
"p0",
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8960388991078148228429895
% SZS output start Proof for 8960388991078148228429895
1. ! [X0] : ((calm(X0) & ~creative(X0)) <=> (~calm(X0) & wise(X0))) [input p0]
7. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (humble(X0) | ~patient(X0))) [input p6]
10. ? [X0] : ~tall(X0) <=> ? [X0] : (old(X0)... | 0 |
If john is strong then alice is not rich or not curious.
If paul is not tall or not old then someone is both not wise and tall and vice versa.
If fred is either not wise or not happy then someone is either funny or not quiet.
Everyone who is both strong and funny is not tall or happy and vice versa.
Everyone who is eit... | Lucy is tall. | entailment | ((strong(john))=>((~rich(alice)|~curious(alice))))&
(((~tall(paul)|~old(paul)))<=>(?[X]:((~wise(X)&tall(X)))))&
(((~wise(fred)<~>~happy(fred)))=>(?[X]:((funny(X)<~>~quiet(X)))))&
(![X]:((strong(X)&funny(X))<=>(~tall(X)|happy(X))))&
(![X]:((~funny(X)<~>old(X))=>(~calm(X)&brave(X))))&
(![X]:((~happy(X)&~kind(X))<=>(patie... | tall(lucy) | [
"p3",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 368045615897788798724383
% SZS output start Proof for 368045615897788798724383
4. ! [X0] : ((funny(X0) & strong(X0)) <=> (happy(X0) | ~tall(X0))) [input p3]
6. ! [X0] : ((~kind(X0) & ~happy(X0)) <=> (patient(X0) <~> tall(X0))) [input p5]
10. ! [X0] : ((~old(X0) & ~patient(X0)) <=> ~kind(X... | 0 |
If someone is not old then paul is strong.
Everyone who is either rich or generous is either not tall or wise.
If someone is not rich then someone is not creative or happy and vice versa.
If susan is not wise then paul is rich and vice versa.
If alice is both calm and not wise then someone is not wise or not humble.
Ev... | Alice is humble. | entailment | ((?[X]:(~old(X)))=>(strong(paul)))&
(![X]:((rich(X)<~>generous(X))=>(~tall(X)<~>wise(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((~creative(X)|happy(X)))))&
((~wise(susan))<=>(rich(paul)))&
(((calm(alice)&~wise(alice)))=>(?[X]:((~wise(X)|~humble(X)))))&
(![X]:((patient(X)|creative(X))=>brave(X)))&
(![X]:(~curious(X)=>(tall(X)&w... | humble(alice) | [
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1746054703467458434425218
% SZS output start Proof for 1746054703467458434425218
7. ! [X0] : (~curious(X0) => (wise(X0) & tall(X0))) [input p6]
9. ! [X0] : ((wise(X0) & creative(X0)) <=> (creative(X0) <~> ~generous(X0))) [input p8]
10. ! [X0] : ((curious(X0) | generous(X0)) => (~tall(X0) ... | 0 |
Everyone who is either not strong or not kind is not rich.
Everyone who is humble is brave.
If paul is not funny or not creative then fred is not patient.
Everyone who is curious or funny is both not funny and not happy.
Everyone who is both not creative and calm is both not rich and kind and vice versa.
Everyone who i... | John is not rich. | contradiction | (![X]:((~strong(X)<~>~kind(X))=>~rich(X)))&
(![X]:(humble(X)=>brave(X)))&
(((~funny(paul)|~creative(paul)))=>(~patient(fred)))&
(![X]:((curious(X)|funny(X))=>(~funny(X)&~happy(X))))&
(![X]:((~creative(X)&calm(X))<=>(~rich(X)&kind(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(~happy(X)<~>~rich(X))))&
(((~tall(john)|~quiet(... | ~rich(john) | [
"p1",
"p3",
"p5",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6316379410237868867358774
% SZS output start Proof for 6316379410237868867358774
2. ! [X0] : (humble(X0) => brave(X0)) [input p1]
4. ! [X0] : ((funny(X0) | curious(X0)) => (~happy(X0) & ~funny(X0))) [input p3]
6. ! [X0] : ((creative(X0) <~> ~brave(X0)) <=> (~happy(X0) <~> ~rich(X0))) [inp... | 0 |
Everyone who is either brave or patient is not brave.
Everyone who is both not tall and happy is not old and vice versa.
If someone is either generous or not strong then paul is generous or not funny.
If someone is patient or old then alice is both not old and creative and vice versa.
Everyone who is not quiet is not k... | Alice is patient. | contradiction | (![X]:((brave(X)<~>patient(X))=>~brave(X)))&
(![X]:((~tall(X)&happy(X))<=>~old(X)))&
((?[X]:((generous(X)<~>~strong(X))))=>((generous(paul)|~funny(paul))))&
((?[X]:((patient(X)|old(X))))<=>((~old(alice)&creative(alice))))&
(![X]:(~quiet(X)=>~kind(X)))&
(![X]:((~generous(X)&~patient(X))<=>(tall(X)|~old(X))))&
(((~wise(m... | patient(alice) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6659921505626716115715671
% SZS output start Proof for 6659921505626716115715671
4. ? [X0] : (old(X0) | patient(X0)) <=> (creative(alice) & ~old(alice)) [input p3]
6. ! [X0] : ((~patient(X0) & ~generous(X0)) <=> (~old(X0) | tall(X0))) [input p5]
22. patient(alice) [input hypothesis]
36. (... | 0 |
Everyone who is both kind and creative is either not curious or kind and vice versa. Everyone who is not brave is kind and vice versa. If someone is both not old and curious then someone is both calm and kind. If fred is both not old and not humble then someone is both wise and not calm. If fred is both not happy and n... | Mary is not brave. | contradiction | (![X]:((kind(X)&creative(X))<=>(~curious(X)<~>kind(X))))&
(![X]:(~brave(X)<=>kind(X)))&
((?[X]:((~old(X)&curious(X))))=>(?[X]:((calm(X)&kind(X)))))&
(((~old(fred)&~humble(fred)))=>(?[X]:((wise(X)&~calm(X)))))&
(((~happy(fred)&~curious(fred)))<=>(?[X]:((~brave(X)|~tall(X)))))&
(![X]:((~quiet(X)|~wise(X))=>funny(X)))&
((... | ~brave(mary) | [
"p4",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4290327303749568162567364
% SZS output start Proof for 4290327303749568162567364
5. (~curious(fred) & ~happy(fred)) <=> ? [X0] : (~tall(X0) | ~brave(X0)) [input p4]
10. ! [X0] : ((~strong(X0) <~> ~curious(X0)) <=> tall(X0)) [input p9]
16. ! [X0] : (tall(X0) <=> ~strong(X0)) [input p15]
23... | 0 |
If someone is not rich or not funny then someone is both not rich and old.
If alice is not creative then susan is wise and vice versa.
If someone is not tall then alice is either kind or not brave and vice versa.
Everyone who is both not old and calm is both not funny and not wise and vice versa.
If someone is not gene... | John is generous. | contradiction | ((?[X]:((~rich(X)|~funny(X))))=>(?[X]:((~rich(X)&old(X)))))&
((~creative(alice))<=>(wise(susan)))&
((?[X]:(~tall(X)))<=>((kind(alice)<~>~brave(alice))))&
(![X]:((~old(X)&calm(X))<=>(~funny(X)&~wise(X))))&
((?[X]:(~generous(X)))<=>(~brave(lucy)))&
((?[X]:(~old(X)))<=>(?[X]:((rich(X)<~>funny(X)))))&
((?[X]:(curious(X)))=... | generous(john) | [
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3830609743237763767951530
% SZS output start Proof for 3830609743237763767951530
16. ! [X0] : ((curious(X0) & ~happy(X0)) <=> (curious(X0) | generous(X0))) [input p15]
24. happy(john) & ~strong(john) [input p23]
25. generous(john) [input hypothesis]
69. ! [X0] : (((curious(X0) & ~happy(X0... | 0 |
Everyone who is not kind is both funny and not patient.
Everyone who is either humble or rich is quiet and vice versa.
If fred is both rich and curious then mary is not old or calm and vice versa.
Everyone who is old is either not strong or wise and vice versa.
Everyone who is patient or generous is funny or rich and v... | John is not calm. | entailment | (![X]:(~kind(X)=>(funny(X)&~patient(X))))&
(![X]:((humble(X)<~>rich(X))<=>quiet(X)))&
(((rich(fred)&curious(fred)))<=>((~old(mary)|calm(mary))))&
(![X]:(old(X)<=>(~strong(X)<~>wise(X))))&
(![X]:((patient(X)|generous(X))<=>(funny(X)|rich(X))))&
(![X]:(~wise(X)<=>(~quiet(X)<~>humble(X))))&
(![X]:((happy(X)&~old(X))=>(~fu... | ~calm(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 241666804892026052772546
% SZS output start Proof for 241666804892026052772546
14. ! [X0] : ((calm(X0) <~> old(X0)) <=> old(X0)) [input p13]
23. calm(john) [input hypothesis]
61. ! [X0] : ((((~old(X0) | ~calm(X0)) & (old(X0) | calm(X0))) | ~old(X0)) & (old(X0) | ((calm(X0) | ~old(X0)) & (... | 0 |
If paul is both not brave and brave then paul is both not brave and not curious and vice versa.
Everyone who is not kind or creative is both old and patient and vice versa.
If someone is both not happy and not funny then lucy is happy.
If lucy is curious or kind then fred is both tall and happy and vice versa.
Everyone... | Mary is not generous. | entailment | (((~brave(paul)&brave(paul)))<=>((~brave(paul)&~curious(paul))))&
(![X]:((~kind(X)|creative(X))<=>(old(X)&patient(X))))&
((?[X]:((~happy(X)&~funny(X))))=>(happy(lucy)))&
(((curious(lucy)|kind(lucy)))<=>((tall(fred)&happy(fred))))&
(![X]:((~curious(X)&generous(X))<=>(curious(X)<~>~old(X))))&
(![X]:(funny(X)=>(~patient(X... | ~generous(mary) | [
"p8",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 46601394466186502366773
% SZS output start Proof for 46601394466186502366773
9. ! [X0] : ((curious(X0) | generous(X0)) => (curious(X0) <~> ~happy(X0))) [input p8]
12. ! [X0] : ((happy(X0) | ~generous(X0)) <=> (~wise(X0) <~> ~curious(X0))) [input p11]
22. wise(mary) & ~creative(mary) [inpu... | 0 |
Everyone who is not creative or not happy is old.
If someone is both not humble and funny then paul is either not calm or not wise.
Everyone who is brave or rich is not humble and vice versa.
If someone is rich or not calm then someone is not patient or not generous.
Everyone who is both tall and not rich is not creati... | Alice is not tall. | contradiction | (![X]:((~creative(X)|~happy(X))=>old(X)))&
((?[X]:((~humble(X)&funny(X))))=>((~calm(paul)<~>~wise(paul))))&
(![X]:((brave(X)|rich(X))<=>~humble(X)))&
((?[X]:((rich(X)|~calm(X))))=>(?[X]:((~patient(X)|~generous(X)))))&
(![X]:((tall(X)&~rich(X))<=>(~creative(X)|~funny(X))))&
(![X]:((humble(X)|~generous(X))<=>(rich(X)&~ki... | ~tall(alice) | [
"p2",
"p4",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2472884988435101388500918
% SZS output start Proof for 2472884988435101388500918
3. ! [X0] : ((rich(X0) | brave(X0)) <=> ~humble(X0)) [input p2]
5. ! [X0] : ((~rich(X0) & tall(X0)) <=> (~funny(X0) | ~creative(X0))) [input p4]
6. ! [X0] : ((~generous(X0) | humble(X0)) <=> (~kind(X0) & rich... | 0 |
Everyone who is either patient or not strong is kind or not patient and vice versa.
Everyone who is quiet or patient is both curious and generous and vice versa.
Everyone who is not curious or not happy is happy.
Everyone who is both not funny and not humble is both humble and strong.
If john is both kind and brave the... | Fred is not tall. | neutral | (![X]:((patient(X)<~>~strong(X))<=>(kind(X)|~patient(X))))&
(![X]:((quiet(X)|patient(X))<=>(curious(X)&generous(X))))&
(![X]:((~curious(X)|~happy(X))=>happy(X)))&
(![X]:((~funny(X)&~humble(X))=>(humble(X)&strong(X))))&
(((kind(john)&brave(john)))<=>(?[X]:((brave(X)|~quiet(X)))))&
(![X]:((~wise(X)&old(X))=>(calm(X)&rich... | ~tall(fred) | [] | null | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa.
If john is rich then lucy is tall or not brave and vice versa.
Everyone who is both not calm and wise is both not strong and curious and vice versa.
If alice is both strong and old then susan is calm.
Everyone who is both generous and ... | Paul is calm. | contradiction | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
((rich(john))<=>((tall(lucy)|~brave(lucy))))&
(![X]:((~calm(X)&wise(X))<=>(~strong(X)&curious(X))))&
(((strong(alice)&old(alice)))=>(calm(susan)))&
(![X]:((generous(X)&~calm(X))=>~brave(X)))&
(![X]:((~kind(X)<~>tall(X))<=>(~strong(X)<~>tall(X))))&
((?[X]:((tall(X)<... | calm(paul) | [
"p0",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2798177867082351255972033
% SZS output start Proof for 2798177867082351255972033
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
9. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~tall(X0) | strong(X0))) [input p8]
10. ! [X0] : (~quiet(X0) => (~calm(X0) | ~wise(... | 0 |
If someone is old or not brave then alice is both not quiet and not curious and vice versa.
Everyone who is either quiet or not tall is either generous or not rich and vice versa.
Everyone who is funny is either not happy or kind and vice versa.
Everyone who is not old or old is either patient or happy.
Everyone who is... | Alice is old. | entailment | ((?[X]:((old(X)|~brave(X))))<=>((~quiet(alice)&~curious(alice))))&
(![X]:((quiet(X)<~>~tall(X))<=>(generous(X)<~>~rich(X))))&
(![X]:(funny(X)<=>(~happy(X)<~>kind(X))))&
(![X]:((~old(X)|old(X))=>(patient(X)<~>happy(X))))&
(![X]:((~humble(X)|~strong(X))<=>(quiet(X)|old(X))))&
((?[X]:((funny(X)|quiet(X))))=>(~brave(susan)... | old(alice) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p9",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6384240830387267504776374
% SZS output start Proof for 6384240830387267504776374
1. ? [X0] : (~brave(X0) | old(X0)) <=> (~curious(alice) & ~quiet(alice)) [input p0]
3. ! [X0] : (funny(X0) <=> (~happy(X0) <~> kind(X0))) [input p2]
4. ! [X0] : ((old(X0) | ~old(X0)) => (patient(X0) <~> happy... | 0 |
If someone is either happy or funny then fred is not quiet or not funny and vice versa.
If someone is quiet or not funny then someone is either strong or brave.
If lucy is not humble or generous then someone is either not creative or not wise.
If paul is wise or kind then someone is humble or old and vice versa.
Everyo... | Susan is old. | entailment | ((?[X]:((happy(X)<~>funny(X))))<=>((~quiet(fred)|~funny(fred))))&
((?[X]:((quiet(X)|~funny(X))))=>(?[X]:((strong(X)<~>brave(X)))))&
(((~humble(lucy)|generous(lucy)))=>(?[X]:((~creative(X)<~>~wise(X)))))&
(((wise(paul)|kind(paul)))<=>(?[X]:((humble(X)|old(X)))))&
(![X]:((~wise(X)|generous(X))<=>(~strong(X)&quiet(X))))&
... | old(susan) | [
"p4",
"p7",
"p11",
"p12",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4805852047553528971557258
% SZS output start Proof for 4805852047553528971557258
5. ! [X0] : ((generous(X0) | ~wise(X0)) <=> (quiet(X0) & ~strong(X0))) [input p4]
8. ! [X0] : ((~happy(X0) | ~calm(X0)) => (~tall(X0) & strong(X0))) [input p7]
12. ! [X0] : ((wise(X0) | funny(X0)) => happy(X0... | 0 |
Everyone who is calm is both not calm and not kind.
Everyone who is both not funny and not humble is both patient and humble and vice versa.
If john is not brave or kind then john is funny and vice versa.
Everyone who is either not kind or not patient is quiet.
Everyone who is funny or not kind is both rich and not pat... | Susan is not creative. | entailment | (![X]:(calm(X)=>(~calm(X)&~kind(X))))&
(![X]:((~funny(X)&~humble(X))<=>(patient(X)&humble(X))))&
(((~brave(john)|kind(john)))<=>(funny(john)))&
(![X]:((~kind(X)<~>~patient(X))=>quiet(X)))&
(![X]:((funny(X)|~kind(X))<=>(rich(X)&~patient(X))))&
((?[X]:((patient(X)|tall(X))))<=>(?[X]:(~happy(X))))&
((~generous(susan))=>(?... | ~creative(susan) | [
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1085279284145173545566971
% SZS output start Proof for 1085279284145173545566971
11. ! [X0] : (creative(X0) <=> (~happy(X0) & ~generous(X0))) [input p10]
22. brave(susan) & happy(susan) [input p21]
23. creative(susan) [input hypothesis]
62. ! [X0] : ((creative(X0) | (happy(X0) | generous(... | 0 |
If someone is calm or curious then someone is either not creative or quiet and vice versa.
Everyone who is not curious is wise.
If paul is both kind and generous then someone is both wise and rich and vice versa.
Everyone who is both curious and strong is not strong or quiet and vice versa.
Everyone who is either not h... | Paul is not old. | neutral | ((?[X]:((calm(X)|curious(X))))<=>(?[X]:((~creative(X)<~>quiet(X)))))&
(![X]:(~curious(X)=>wise(X)))&
(((kind(paul)&generous(paul)))<=>(?[X]:((wise(X)&rich(X)))))&
(![X]:((curious(X)&strong(X))<=>(~strong(X)|quiet(X))))&
(![X]:((~happy(X)<~>creative(X))=>(old(X)|generous(X))))&
(![X]:((quiet(X)|rich(X))=>(patient(X)<~>~... | ~old(paul) | [] | null | 0 |
If mary is not quiet or quiet then mary is either not tall or strong.
Everyone who is either funny or humble is not creative.
Everyone who is curious is humble or not old.
If paul is both generous and not generous then alice is not humble.
Everyone who is both old and curious is old or not old and vice versa.
If someon... | Paul is not old. | contradiction | (((~quiet(mary)|quiet(mary)))=>((~tall(mary)<~>strong(mary))))&
(![X]:((funny(X)<~>humble(X))=>~creative(X)))&
(![X]:(curious(X)=>(humble(X)|~old(X))))&
(((generous(paul)&~generous(paul)))=>(~humble(alice)))&
(![X]:((old(X)&curious(X))<=>(old(X)|~old(X))))&
((?[X]:((curious(X)|~humble(X))))<=>(?[X]:(humble(X))))&
(![X]... | ~old(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8119808352434128456207647
% SZS output start Proof for 8119808352434128456207647
5. ! [X0] : ((curious(X0) & old(X0)) <=> (~old(X0) | old(X0))) [input p4]
23. ~old(paul) [input hypothesis]
45. ! [X0] : (((curious(X0) & old(X0)) | (old(X0) & ~old(X0))) & ((~old(X0) | old(X0)) | (~curious(X... | 0 |
Everyone who is wise or not strong is either patient or not wise.
Everyone who is either not funny or calm is either kind or not generous and vice versa.
Everyone who is both calm and not brave is both not humble and happy.
Everyone who is not humble is both not tall and old and vice versa.
Everyone who is not calm or ... | Mary is creative. | neutral | (![X]:((wise(X)|~strong(X))=>(patient(X)<~>~wise(X))))&
(![X]:((~funny(X)<~>calm(X))<=>(kind(X)<~>~generous(X))))&
(![X]:((calm(X)&~brave(X))=>(~humble(X)&happy(X))))&
(![X]:(~humble(X)<=>(~tall(X)&old(X))))&
(![X]:((~calm(X)|~rich(X))=>(~humble(X)&~funny(X))))&
((~generous(mary))<=>((kind(mary)|wise(mary))))&
(((~crea... | creative(mary) | [] | null | 0 |
If mary is both rich and patient then alice is both not strong and not tall.
Everyone who is rich or happy is either not quiet or strong and vice versa.
If mary is both tall and happy then someone is not calm.
If someone is not tall then mary is either not curious or not funny.
If lucy is either not humble or generous ... | Alice is not kind. | entailment | (((rich(mary)&patient(mary)))=>((~strong(alice)&~tall(alice))))&
(![X]:((rich(X)|happy(X))<=>(~quiet(X)<~>strong(X))))&
(((tall(mary)&happy(mary)))=>(?[X]:(~calm(X))))&
((?[X]:(~tall(X)))=>((~curious(mary)<~>~funny(mary))))&
(((~humble(lucy)<~>generous(lucy)))=>(?[X]:((~strong(X)&rich(X)))))&
(![X]:((~rich(X)|curious(X... | ~kind(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7132261082814817224335430
% SZS output start Proof for 7132261082814817224335430
11. ! [X0] : ((wise(X0) | kind(X0)) => (happy(X0) & ~happy(X0))) [input p10]
24. kind(alice) [input hypothesis]
26. ! [X0] : (kind(X0) => (happy(X0) & ~happy(X0))) [pure predicate removal 11]
36. ! [X0] : ((h... | 0 |
Everyone who is not calm is either not old or curious and vice versa.
If john is humble then someone is not humble or not strong.
If someone is not quiet then someone is both kind and wise and vice versa.
If susan is not patient or not curious then someone is either not happy or strong and vice versa.
Everyone who is q... | Susan is humble. | entailment | (![X]:(~calm(X)<=>(~old(X)<~>curious(X))))&
((humble(john))=>(?[X]:((~humble(X)|~strong(X)))))&
((?[X]:(~quiet(X)))<=>(?[X]:((kind(X)&wise(X)))))&
(((~patient(susan)|~curious(susan)))<=>(?[X]:((~happy(X)<~>strong(X)))))&
(![X]:((quiet(X)|strong(X))<=>(funny(X)|humble(X))))&
(((calm(alice)&~kind(alice)))<=>((~humble(sus... | humble(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1720274550138657341533211
% SZS output start Proof for 1720274550138657341533211
17. ~curious(susan) & humble(susan) [input p16]
25. ~humble(susan) [input hypothesis]
136. humble(susan) [cnf transformation 17]
149. ~humble(susan) [cnf transformation 25]
218. 16 <=> humble(susan) [avatar d... | 0 |
Everyone who is wise is patient or funny and vice versa. Everyone who is both strong and creative is brave or not happy and vice versa. Everyone who is both not funny and funny is not tall and vice versa. Everyone who is not tall is quiet or not humble. If mary is not tall then someone is not rich or not brave and vice... | Paul is not quiet. | entailment | (![X]:(wise(X)<=>(patient(X)|funny(X))))&
(![X]:((strong(X)&creative(X))<=>(brave(X)|~happy(X))))&
(![X]:((~funny(X)&funny(X))<=>~tall(X)))&
(![X]:(~tall(X)=>(quiet(X)|~humble(X))))&
((~tall(mary))<=>(?[X]:((~rich(X)|~brave(X)))))&
(((calm(john)<~>~strong(john)))=>(?[X]:((~wise(X)|quiet(X)))))&
((?[X]:((~curious(X)|~wi... | ~quiet(paul) | [
"p1",
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4450933489490854821407940
% SZS output start Proof for 4450933489490854821407940
2. ! [X0] : ((creative(X0) & strong(X0)) <=> (~happy(X0) | brave(X0))) [input p1]
3. ! [X0] : ((funny(X0) & ~funny(X0)) <=> ~tall(X0)) [input p2]
5. ~tall(mary) <=> ? [X0] : (~brave(X0) | ~rich(X0)) [input p4... | 0 |
If fred is either old or generous then someone is both not strong and not creative and vice versa.
If paul is wise or curious then lucy is either curious or tall.
Everyone who is either humble or not funny is either not happy or calm.
Everyone who is either not brave or rich is calm or generous and vice versa.
If someo... | Paul is old. | entailment | (((old(fred)<~>generous(fred)))<=>(?[X]:((~strong(X)&~creative(X)))))&
(((wise(paul)|curious(paul)))=>((curious(lucy)<~>tall(lucy))))&
(![X]:((humble(X)<~>~funny(X))=>(~happy(X)<~>calm(X))))&
(![X]:((~brave(X)<~>rich(X))<=>(calm(X)|generous(X))))&
((?[X]:((patient(X)|~brave(X))))<=>((kind(lucy)&~funny(lucy))))&
(![X]:(... | old(paul) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3980140432303585929665769
% SZS output start Proof for 3980140432303585929665769
10. ! [X0] : (~old(X0) <=> tall(X0)) [input p9]
18. ~humble(paul) & ~tall(paul) [input p17]
25. ~old(paul) [input hypothesis]
55. ! [X0] : ((~old(X0) | ~tall(X0)) & (tall(X0) | old(X0))) [nnf transformation 1... | 0 |
Everyone who is quiet or not brave is both rich and not brave and vice versa.
If someone is not tall or curious then someone is not funny.
Everyone who is not funny is either not tall or generous and vice versa.
If john is either old or generous then someone is both brave and humble and vice versa.
Everyone who is both... | John is tall. | contradiction | (![X]:((quiet(X)|~brave(X))<=>(rich(X)&~brave(X))))&
((?[X]:((~tall(X)|curious(X))))=>(?[X]:(~funny(X))))&
(![X]:(~funny(X)<=>(~tall(X)<~>generous(X))))&
(((old(john)<~>generous(john)))<=>(?[X]:((brave(X)&humble(X)))))&
(![X]:((strong(X)&~strong(X))=>(~old(X)<~>happy(X))))&
(![X]:((generous(X)<~>patient(X))<=>(quiet(X)... | tall(john) | [
"p2",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2153276443529738345239855
% SZS output start Proof for 2153276443529738345239855
3. ! [X0] : (~funny(X0) <=> (~tall(X0) <~> generous(X0))) [input p2]
10. ! [X0] : ((quiet(X0) & ~strong(X0)) <=> strong(X0)) [input p9]
11. ! [X0] : (~rich(X0) <=> (~quiet(X0) & ~creative(X0))) [input p10]
12... | 0 |
Everyone who is both not rich and strong is either not brave or quiet and vice versa.
Everyone who is both not generous and old is not brave.
Everyone who is either creative or kind is creative or not patient.
Everyone who is not kind is both quiet and not quiet.
If someone is not funny or not curious then paul is not ... | Susan is generous. | neutral | (![X]:((~rich(X)&strong(X))<=>(~brave(X)<~>quiet(X))))&
(![X]:((~generous(X)&old(X))=>~brave(X)))&
(![X]:((creative(X)<~>kind(X))=>(creative(X)|~patient(X))))&
(![X]:(~kind(X)=>(quiet(X)&~quiet(X))))&
((?[X]:((~funny(X)|~curious(X))))=>(~wise(paul)))&
(![X]:((~generous(X)|~tall(X))=>(curious(X)<~>~calm(X))))&
((?[X]:((... | generous(susan) | [] | null | 0 |
Everyone who is not strong is either patient or not brave. Everyone who is not calm is strong. Everyone who is both not creative and not rich is both funny and not wise. Everyone who is both not calm and not humble is both brave and old and vice versa. Everyone who is both not creative and not rich is either patient or... | Susan is not funny. | neutral | (![X]:(~strong(X)=>(patient(X)<~>~brave(X))))&
(![X]:(~calm(X)=>strong(X)))&
(![X]:((~creative(X)&~rich(X))=>(funny(X)&~wise(X))))&
(![X]:((~calm(X)&~humble(X))<=>(brave(X)&old(X))))&
(![X]:((~creative(X)&~rich(X))<=>(patient(X)<~>humble(X))))&
(![X]:(old(X)<=>quiet(X)))&
(![X]:((~creative(X)<~>calm(X))<=>(tall(X)&~wis... | ~funny(susan) | [] | null | 0 |
Everyone who is quiet is either funny or not rich. Everyone who is not brave is patient and vice versa. If john is either not generous or not tall then fred is old or not kind and vice versa. Everyone who is quiet is not quiet or not creative. If someone is either patient or curious then someone is both happy and not f... | Susan is not old. | neutral | (![X]:(quiet(X)=>(funny(X)<~>~rich(X))))&
(![X]:(~brave(X)<=>patient(X)))&
(((~generous(john)<~>~tall(john)))<=>((old(fred)|~kind(fred))))&
(![X]:(quiet(X)=>(~quiet(X)|~creative(X))))&
((?[X]:((patient(X)<~>curious(X))))<=>(?[X]:((happy(X)&~funny(X)))))&
(((humble(mary)|~brave(mary)))<=>(?[X]:(quiet(X))))&
((quiet(susa... | ~old(susan) | [] | null | 0 |
Everyone who is either not patient or not kind is either tall or happy and vice versa. Everyone who is happy or not creative is either calm or not happy and vice versa. Everyone who is both rich and creative is both not old and calm and vice versa. If paul is not calm or patient then someone is happy and vice versa. Ev... | Lucy is old. | neutral | (![X]:((~patient(X)<~>~kind(X))<=>(tall(X)<~>happy(X))))&
(![X]:((happy(X)|~creative(X))<=>(calm(X)<~>~happy(X))))&
(![X]:((rich(X)&creative(X))<=>(~old(X)&calm(X))))&
(((~calm(paul)|patient(paul)))<=>(?[X]:(happy(X))))&
(![X]:((~funny(X)<~>~creative(X))<=>(~rich(X)&~patient(X))))&
(((~tall(mary)|~curious(mary)))=>((~b... | old(lucy) | [] | null | 0 |
If someone is quiet then john is not rich or not wise.
If someone is either happy or not old then paul is both calm and not humble.
Everyone who is strong or not patient is brave and vice versa.
Everyone who is both rich and creative is old and vice versa.
Everyone who is patient or brave is either kind or not humble.
... | Alice is patient. | entailment | ((?[X]:(quiet(X)))=>((~rich(john)|~wise(john))))&
((?[X]:((happy(X)<~>~old(X))))=>((calm(paul)&~humble(paul))))&
(![X]:((strong(X)|~patient(X))<=>brave(X)))&
(![X]:((rich(X)&creative(X))<=>old(X)))&
(![X]:((patient(X)|brave(X))=>(kind(X)<~>~humble(X))))&
(((~patient(paul)|humble(paul)))<=>((calm(john)<~>funny(john))))&... | patient(alice) | [
"p2",
"p4",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4138396205831202413291273
% SZS output start Proof for 4138396205831202413291273
3. ! [X0] : ((~patient(X0) | strong(X0)) <=> brave(X0)) [input p2]
5. ! [X0] : ((brave(X0) | patient(X0)) => (kind(X0) <~> ~humble(X0))) [input p4]
12. ! [X0] : ((~calm(X0) | tall(X0)) => ~curious(X0)) [input... | 0 |
Everyone who is strong or not happy is patient and vice versa.
Everyone who is both brave and not calm is both not old and humble.
If someone is patient or wise then fred is tall or calm.
If someone is not funny or rich then alice is both not funny and tall and vice versa.
Everyone who is not rich is both not calm and ... | Fred is not humble. | entailment | (![X]:((strong(X)|~happy(X))<=>patient(X)))&
(![X]:((brave(X)&~calm(X))=>(~old(X)&humble(X))))&
((?[X]:((patient(X)|wise(X))))=>((tall(fred)|calm(fred))))&
((?[X]:((~funny(X)|rich(X))))<=>((~funny(alice)&tall(alice))))&
(![X]:(~rich(X)=>(~calm(X)&~creative(X))))&
(![X]:(~old(X)=>(old(X)|~rich(X))))&
(![X]:((rich(X)<~>~... | ~humble(fred) | [
"p0",
"p4",
"p5",
"p6",
"p11",
"p12",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 245828620524569035957455
% SZS output start Proof for 245828620524569035957455
1. ! [X0] : ((~happy(X0) | strong(X0)) <=> patient(X0)) [input p0]
5. ! [X0] : (~rich(X0) => (~creative(X0) & ~calm(X0))) [input p4]
6. ! [X0] : (~old(X0) => (~rich(X0) | old(X0))) [input p5]
7. ! [X0] : ((rich... | 0 |
If lucy is not strong or brave then paul is quiet or not quiet.
If mary is both calm and kind then alice is not old or not wise and vice versa.
Everyone who is both curious and quiet is either not generous or not brave.
Everyone who is both old and not happy is not wise or not patient and vice versa.
Everyone who is bo... | Lucy is not happy. | entailment | (((~strong(lucy)|brave(lucy)))=>((quiet(paul)|~quiet(paul))))&
(((calm(mary)&kind(mary)))<=>((~old(alice)|~wise(alice))))&
(![X]:((curious(X)&quiet(X))=>(~generous(X)<~>~brave(X))))&
(![X]:((old(X)&~happy(X))<=>(~wise(X)|~patient(X))))&
(![X]:((wise(X)&calm(X))=>(generous(X)|quiet(X))))&
(![X]:((~curious(X)<~>~wise(X))... | ~happy(lucy) | [
"p3",
"p7",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 383447409408722831824460
% SZS output start Proof for 383447409408722831824460
4. ! [X0] : ((~happy(X0) & old(X0)) <=> (~patient(X0) | ~wise(X0))) [input p3]
8. ! [X0] : ((tall(X0) & wise(X0)) <=> (rich(X0) & brave(X0))) [input p7]
13. ! [X0] : ((~humble(X0) | brave(X0)) => ~brave(X0)) [i... | 0 |
Everyone who is not quiet or brave is curious or generous.
Everyone who is both not brave and generous is not rich and vice versa.
If someone is either not quiet or creative then someone is patient and vice versa.
Everyone who is not funny or strong is strong or not generous and vice versa.
If someone is not quiet or c... | Mary is curious. | entailment | (![X]:((~quiet(X)|brave(X))=>(curious(X)|generous(X))))&
(![X]:((~brave(X)&generous(X))<=>~rich(X)))&
((?[X]:((~quiet(X)<~>creative(X))))<=>(?[X]:(patient(X))))&
(![X]:((~funny(X)|strong(X))<=>(strong(X)|~generous(X))))&
((?[X]:((~quiet(X)|curious(X))))=>((humble(lucy)|happy(lucy))))&
(![X]:((humble(X)<~>curious(X))=>~... | curious(mary) | [
"p0",
"p3",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 88803480339941152822227
% SZS output start Proof for 88803480339941152822227
1. ! [X0] : ((brave(X0) | ~quiet(X0)) => (generous(X0) | curious(X0))) [input p0]
4. ! [X0] : ((strong(X0) | ~funny(X0)) <=> (~generous(X0) | strong(X0))) [input p3]
7. ! [X0] : ((strong(X0) | calm(X0)) => (~stro... | 0 |
Everyone who is not old or not wise is not kind or quiet and vice versa.
If fred is both not brave and not old then someone is both not tall and not generous and vice versa.
Everyone who is both not curious and tall is not quiet or not patient and vice versa.
If someone is curious or not quiet then alice is both old an... | Alice is not patient. | entailment | (![X]:((~old(X)|~wise(X))<=>(~kind(X)|quiet(X))))&
(((~brave(fred)&~old(fred)))<=>(?[X]:((~tall(X)&~generous(X)))))&
(![X]:((~curious(X)&tall(X))<=>(~quiet(X)|~patient(X))))&
((?[X]:((curious(X)|~quiet(X))))=>((old(alice)&~calm(alice))))&
(![X]:((patient(X)&~wise(X))<=>(~old(X)<~>curious(X))))&
(((~generous(john)|tall(... | ~patient(alice) | [
"p2",
"p3",
"p4",
"p6",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2320299004708461282258839
% SZS output start Proof for 2320299004708461282258839
3. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (~patient(X0) | ~quiet(X0))) [input p2]
4. ? [X0] : (~quiet(X0) | curious(X0)) => (~calm(alice) & old(alice)) [input p3]
5. ! [X0] : ((~wise(X0) & patient(X0)) <=> (... | 0 |
Everyone who is not rich or not strong is both not creative and curious and vice versa. If fred is both not funny and not wise then someone is patient and vice versa. If someone is both not happy and not wise then someone is not wise or curious and vice versa. If someone is either tall or not kind then paul is either c... | Susan is rich. | entailment | (![X]:((~rich(X)|~strong(X))<=>(~creative(X)&curious(X))))&
(((~funny(fred)&~wise(fred)))<=>(?[X]:(patient(X))))&
((?[X]:((~happy(X)&~wise(X))))<=>(?[X]:((~wise(X)|curious(X)))))&
((?[X]:((tall(X)<~>~kind(X))))=>((curious(paul)<~>calm(paul))))&
((~wise(mary))=>((~curious(paul)&calm(paul))))&
(![X]:((kind(X)&~tall(X))<=... | rich(susan) | [
"p0",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5837950669508354047567213
% SZS output start Proof for 5837950669508354047567213
1. ! [X0] : ((~strong(X0) | ~rich(X0)) <=> (curious(X0) & ~creative(X0))) [input p0]
24. quiet(susan) & creative(susan) [input p23]
25. ~rich(susan) [input hypothesis]
39. ! [X0] : (((~strong(X0) | ~rich(X0))... | 0 |
Everyone who is funny is both not funny and calm. If paul is both not wise and generous then fred is humble and vice versa. Everyone who is brave or not tall is either strong or not humble and vice versa. Everyone who is either not kind or calm is brave or tall and vice versa. If susan is either not kind or humble then... | John is not brave. | entailment | (![X]:(funny(X)=>(~funny(X)&calm(X))))&
(((~wise(paul)&generous(paul)))<=>(humble(fred)))&
(![X]:((brave(X)|~tall(X))<=>(strong(X)<~>~humble(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(brave(X)|tall(X))))&
(((~kind(susan)<~>humble(susan)))<=>(?[X]:((~creative(X)|old(X)))))&
(![X]:((rich(X)|~strong(X))=>(~quiet(X)&~kind(X))))... | ~brave(john) | [
"p0",
"p2",
"p3",
"p5",
"p8",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2350467616531786222306616
% SZS output start Proof for 2350467616531786222306616
1. ! [X0] : (funny(X0) => (calm(X0) & ~funny(X0))) [input p0]
3. ! [X0] : ((~tall(X0) | brave(X0)) <=> (strong(X0) <~> ~humble(X0))) [input p2]
4. ! [X0] : ((~kind(X0) <~> calm(X0)) <=> (tall(X0) | brave(X0))... | 0 |
Everyone who is both generous and not humble is both not creative and happy. Everyone who is both not funny and not brave is either brave or quiet and vice versa. Everyone who is happy or generous is either not generous or not tall and vice versa. Everyone who is both not strong and not kind is either not creative or w... | Paul is not patient. | entailment | (![X]:((generous(X)&~humble(X))=>(~creative(X)&happy(X))))&
(![X]:((~funny(X)&~brave(X))<=>(brave(X)<~>quiet(X))))&
(![X]:((happy(X)|generous(X))<=>(~generous(X)<~>~tall(X))))&
(![X]:((~strong(X)&~kind(X))<=>(~creative(X)<~>wise(X))))&
((?[X]:((rich(X)<~>tall(X))))<=>((wise(paul)|~strong(paul))))&
((?[X]:((~patient(X)|... | ~patient(paul) | [
"p1",
"p2",
"p12",
"p13",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5277393047894632733950679
% SZS output start Proof for 5277393047894632733950679
2. ! [X0] : ((~brave(X0) & ~funny(X0)) <=> (brave(X0) <~> quiet(X0))) [input p1]
3. ! [X0] : ((generous(X0) | happy(X0)) <=> (~generous(X0) <~> ~tall(X0))) [input p2]
13. ! [X0] : (~generous(X0) <=> (curious(... | 0 |
Everyone who is both brave and not patient is patient.
Everyone who is patient is either not creative or tall.
Everyone who is both kind and old is not generous or not rich.
Everyone who is either quiet or wise is tall or not happy and vice versa.
If lucy is not creative then someone is both old and not creative and vi... | Lucy is patient. | neutral | (![X]:((brave(X)&~patient(X))=>patient(X)))&
(![X]:(patient(X)=>(~creative(X)<~>tall(X))))&
(![X]:((kind(X)&old(X))=>(~generous(X)|~rich(X))))&
(![X]:((quiet(X)<~>wise(X))<=>(tall(X)|~happy(X))))&
((~creative(lucy))<=>(?[X]:((old(X)&~creative(X)))))&
(![X]:((~brave(X)|generous(X))<=>(~calm(X)|tall(X))))&
((?[X]:((~old(... | patient(lucy) | [] | null | 0 |
Everyone who is not tall or curious is not brave or kind and vice versa.
Everyone who is both not wise and not generous is both not wise and not happy.
Everyone who is either generous or not funny is either kind or not humble.
Everyone who is humble or brave is happy.
Everyone who is both not kind and not brave is both... | John is tall. | entailment | (![X]:((~tall(X)|curious(X))<=>(~brave(X)|kind(X))))&
(![X]:((~wise(X)&~generous(X))=>(~wise(X)&~happy(X))))&
(![X]:((generous(X)<~>~funny(X))=>(kind(X)<~>~humble(X))))&
(![X]:((humble(X)|brave(X))=>happy(X)))&
(![X]:((~kind(X)&~brave(X))<=>(creative(X)&calm(X))))&
((?[X]:(creative(X)))=>((~curious(mary)|~strong(mary))... | tall(john) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8004786294035637655465607
% SZS output start Proof for 8004786294035637655465607
14. ! [X0] : ((~tall(X0) | wise(X0)) => (brave(X0) & creative(X0))) [input p13]
15. ! [X0] : ((wise(X0) | creative(X0)) <=> (~creative(X0) & calm(X0))) [input p14]
22. ~tall(john) [input hypothesis]
34. ! [X0... | 0 |
If paul is creative then someone is not brave or kind.
If susan is patient or not funny then someone is both tall and brave.
If someone is either funny or not creative then lucy is not wise or not strong and vice versa.
If john is both not happy and humble then paul is not rich.
If john is both tall and not old then so... | Fred is strong. | neutral | ((creative(paul))=>(?[X]:((~brave(X)|kind(X)))))&
(((patient(susan)|~funny(susan)))=>(?[X]:((tall(X)&brave(X)))))&
((?[X]:((funny(X)<~>~creative(X))))<=>((~wise(lucy)|~strong(lucy))))&
(((~happy(john)&humble(john)))=>(~rich(paul)))&
(((tall(john)&~old(john)))<=>(?[X]:((~funny(X)&calm(X)))))&
((?[X]:((generous(X)|~happy... | strong(fred) | [] | null | 0 |
Everyone who is not wise is wise or calm. Everyone who is not kind is not curious or not creative. Everyone who is not quiet or not strong is funny. If john is either strong or not calm then someone is not tall or patient and vice versa. If someone is both not generous and not wise then someone is both not rich and not... | Alice is old. | entailment | (![X]:(~wise(X)=>(wise(X)|calm(X))))&
(![X]:(~kind(X)=>(~curious(X)|~creative(X))))&
(![X]:((~quiet(X)|~strong(X))=>funny(X)))&
(((strong(john)<~>~calm(john)))<=>(?[X]:((~tall(X)|patient(X)))))&
((?[X]:((~generous(X)&~wise(X))))=>(?[X]:((~rich(X)&~calm(X)))))&
((?[X]:((~patient(X)&~creative(X))))=>((patient(alice)|quie... | old(alice) | [
"p3",
"p5",
"p8",
"p10",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4622643944377224865705471
% SZS output start Proof for 4622643944377224865705471
4. (strong(john) <~> ~calm(john)) <=> ? [X0] : (patient(X0) | ~tall(X0)) [input p3]
6. ? [X0] : (~creative(X0) & ~patient(X0)) => (quiet(alice) | patient(alice)) [input p5]
9. ? [X0] : brave(X0) => (~quiet(al... | 0 |
Everyone who is either wise or not rich is either happy or patient and vice versa.
If someone is patient or humble then paul is not rich.
Everyone who is either tall or not generous is both strong and not patient and vice versa.
Everyone who is old is both not happy and strong.
If john is both patient and not patient t... | Alice is not rich. | neutral | (![X]:((wise(X)<~>~rich(X))<=>(happy(X)<~>patient(X))))&
((?[X]:((patient(X)|humble(X))))=>(~rich(paul)))&
(![X]:((tall(X)<~>~generous(X))<=>(strong(X)&~patient(X))))&
(![X]:(old(X)=>(~happy(X)&strong(X))))&
(((patient(john)&~patient(john)))<=>(brave(fred)))&
((?[X]:((old(X)|~old(X))))=>((~curious(susan)&~kind(susan)))... | ~rich(alice) | [] | null | 0 |
If someone is brave then someone is strong or rich. If susan is either calm or quiet then alice is either not rich or calm and vice versa. Everyone who is either not brave or not generous is both old and not creative and vice versa. Everyone who is wise or generous is both not funny and not curious. If john is either n... | John is strong. | neutral | ((?[X]:(brave(X)))=>(?[X]:((strong(X)|rich(X)))))&
(((calm(susan)<~>quiet(susan)))<=>((~rich(alice)<~>calm(alice))))&
(![X]:((~brave(X)<~>~generous(X))<=>(old(X)&~creative(X))))&
(![X]:((wise(X)|generous(X))=>(~funny(X)&~curious(X))))&
(((~rich(john)<~>strong(john)))=>(?[X]:(kind(X))))&
(![X]:((~funny(X)<~>strong(X))<=... | strong(john) | [] | null | 0 |
If susan is both not curious and not generous then fred is not creative. Everyone who is both humble and calm is either kind or not quiet. If fred is both calm and not humble then someone is wise or not generous and vice versa. If alice is both not happy and not creative then lucy is curious or rich and vice versa. Eve... | Alice is not rich. | neutral | (((~curious(susan)&~generous(susan)))=>(~creative(fred)))&
(![X]:((humble(X)&calm(X))=>(kind(X)<~>~quiet(X))))&
(((calm(fred)&~humble(fred)))<=>(?[X]:((wise(X)|~generous(X)))))&
(((~happy(alice)&~creative(alice)))<=>((curious(lucy)|rich(lucy))))&
(![X]:((tall(X)|curious(X))=>~kind(X)))&
(![X]:((quiet(X)<~>~rich(X))<=>~... | ~rich(alice) | [] | null | 0 |
If fred is both happy and not tall then someone is either not funny or quiet and vice versa. If lucy is not wise then someone is either funny or not quiet and vice versa. If mary is brave or not patient then mary is both not patient and old and vice versa. Everyone who is not patient or curious is both not calm and qui... | Susan is strong. | neutral | (((happy(fred)&~tall(fred)))<=>(?[X]:((~funny(X)<~>quiet(X)))))&
((~wise(lucy))<=>(?[X]:((funny(X)<~>~quiet(X)))))&
(((brave(mary)|~patient(mary)))<=>((~patient(mary)&old(mary))))&
(![X]:((~patient(X)|curious(X))<=>(~calm(X)&quiet(X))))&
(![X]:((calm(X)|~kind(X))=>(~calm(X)&kind(X))))&
((~old(paul))=>((happy(lucy)&~fun... | strong(susan) | [] | null | 0 |
If lucy is both brave and rich then someone is not wise or not humble.
Everyone who is both not kind and wise is both kind and old and vice versa.
Everyone who is not patient or not curious is not patient or strong and vice versa.
Everyone who is either old or happy is not quiet and vice versa.
Everyone who is both not... | Fred is wise. | entailment | (((brave(lucy)&rich(lucy)))=>(?[X]:((~wise(X)|~humble(X)))))&
(![X]:((~kind(X)&wise(X))<=>(kind(X)&old(X))))&
(![X]:((~patient(X)|~curious(X))<=>(~patient(X)|strong(X))))&
(![X]:((old(X)<~>happy(X))<=>~quiet(X)))&
(![X]:((~kind(X)&calm(X))<=>strong(X)))&
((?[X]:((~kind(X)&~old(X))))=>(?[X]:((strong(X)&happy(X)))))&
((?... | wise(fred) | [
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2567976467093079298978707
% SZS output start Proof for 2567976467093079298978707
9. (rich(fred) | ~wise(fred)) <=> (~patient(john) & ~tall(john)) [input p8]
15. ! [X0] : ((rich(X0) <~> ~patient(X0)) <=> rich(X0)) [input p14]
24. ~wise(fred) [input hypothesis]
54. ((rich(fred) | ~wise(fred... | 0 |
Everyone who is not old is not tall or calm and vice versa.
If fred is either not generous or tall then someone is not creative.
Everyone who is either not kind or funny is not funny.
Everyone who is not patient or old is not brave or quiet and vice versa.
If someone is creative or generous then someone is either not s... | Susan is generous. | contradiction | (![X]:(~old(X)<=>(~tall(X)|calm(X))))&
(((~generous(fred)<~>tall(fred)))=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)<~>funny(X))=>~funny(X)))&
(![X]:((~patient(X)|old(X))<=>(~brave(X)|quiet(X))))&
((?[X]:((creative(X)|generous(X))))<=>(?[X]:((~strong(X)<~>~creative(X)))))&
(![X]:((~happy(X)|~curious(X))<=>(generous(X)<~>... | generous(susan) | [
"p0",
"p3",
"p5",
"p6",
"p7",
"p9",
"p10",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6707205796090697915907414
% SZS output start Proof for 6707205796090697915907414
1. ! [X0] : (~old(X0) <=> (calm(X0) | ~tall(X0))) [input p0]
4. ! [X0] : ((old(X0) | ~patient(X0)) <=> (quiet(X0) | ~brave(X0))) [input p3]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> (generous(X0) <~> ~old(... | 0 |
Everyone who is funny is either funny or not tall and vice versa. If someone is either not brave or not curious then someone is not calm. If lucy is either wise or humble then someone is either humble or not curious. If someone is not quiet then someone is generous. If someone is not quiet then paul is both quiet and n... | Fred is not brave. | contradiction | (![X]:(funny(X)<=>(funny(X)<~>~tall(X))))&
((?[X]:((~brave(X)<~>~curious(X))))=>(?[X]:(~calm(X))))&
(((wise(lucy)<~>humble(lucy)))=>(?[X]:((humble(X)<~>~curious(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:(generous(X))))&
((?[X]:(~quiet(X)))<=>((quiet(paul)&~rich(paul))))&
((?[X]:(tall(X)))<=>(?[X]:((~wise(X)&generous(X)))))&
(... | ~brave(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8391918805547631135886772
% SZS output start Proof for 8391918805547631135886772
9. ! [X0] : (patient(X0) <=> (brave(X0) <~> ~patient(X0))) [input p8]
25. ~brave(fred) [input hypothesis]
69. ! [X0] : ((patient(X0) | ((brave(X0) | patient(X0)) & (~patient(X0) | ~brave(X0)))) & (((patient(X... | 0 |
Everyone who is either not quiet or brave is strong or humble and vice versa. Everyone who is both not happy and curious is both curious and happy and vice versa. Everyone who is not humble or creative is generous. If someone is either not curious or calm then someone is tall or not wise and vice versa. If someone is c... | John is happy. | contradiction | (![X]:((~quiet(X)<~>brave(X))<=>(strong(X)|humble(X))))&
(![X]:((~happy(X)&curious(X))<=>(curious(X)&happy(X))))&
(![X]:((~humble(X)|creative(X))=>generous(X)))&
((?[X]:((~curious(X)<~>calm(X))))<=>(?[X]:((tall(X)|~wise(X)))))&
((?[X]:(curious(X)))=>(?[X]:((~strong(X)&kind(X)))))&
(((~rich(lucy)<~>creative(lucy)))=>((r... | happy(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4808808239408308647515626
% SZS output start Proof for 4808808239408308647515626
12. ! [X0] : ((~happy(X0) & curious(X0)) <=> happy(X0)) [input p11]
24. happy(john) [input hypothesis]
62. ! [X0] : (((~happy(X0) & curious(X0)) | ~happy(X0)) & (happy(X0) | (happy(X0) | ~curious(X0)))) [nnf ... | 0 |
If lucy is kind or funny then john is wise.
Everyone who is tall is strong or calm and vice versa.
If someone is not strong or not calm then lucy is both humble and quiet.
Everyone who is either not happy or not humble is both funny and calm and vice versa.
If someone is not rich then alice is not funny or generous.
If... | Paul is not old. | neutral | (((kind(lucy)|funny(lucy)))=>(wise(john)))&
(![X]:(tall(X)<=>(strong(X)|calm(X))))&
((?[X]:((~strong(X)|~calm(X))))=>((humble(lucy)&quiet(lucy))))&
(![X]:((~happy(X)<~>~humble(X))<=>(funny(X)&calm(X))))&
((?[X]:(~rich(X)))=>((~funny(alice)|generous(alice))))&
((?[X]:((~tall(X)|tall(X))))=>(?[X]:((old(X)|~curious(X)))))... | ~old(paul) | [] | null | 0 |
Everyone who is either not creative or quiet is both not tall and not humble.
Everyone who is both old and not calm is both old and not humble and vice versa.
If someone is both patient and not strong then john is either strong or not kind and vice versa.
If someone is not kind then someone is both not funny and not ki... | Mary is calm. | entailment | (![X]:((~creative(X)<~>quiet(X))=>(~tall(X)&~humble(X))))&
(![X]:((old(X)&~calm(X))<=>(old(X)&~humble(X))))&
((?[X]:((patient(X)&~strong(X))))<=>((strong(john)<~>~kind(john))))&
((?[X]:(~kind(X)))<=>(?[X]:((~funny(X)&~kind(X)))))&
((?[X]:((wise(X)|~calm(X))))<=>(?[X]:((brave(X)|~strong(X)))))&
(![X]:((~kind(X)|old(X))=... | calm(mary) | [
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2928034300261939114184277
% SZS output start Proof for 2928034300261939114184277
6. ! [X0] : ((old(X0) | ~kind(X0)) => (wise(X0) <~> ~kind(X0))) [input p5]
13. ! [X0] : ((wise(X0) & ~kind(X0)) <=> ~calm(X0)) [input p12]
25. ~calm(mary) [input hypothesis]
31. ! [X0] : ((wise(X0) <~> ~kind(... | 0 |
Everyone who is either not strong or not tall is curious and vice versa. Everyone who is funny or not strong is both not generous and not humble. Everyone who is both happy and not tall is not brave. If someone is strong then paul is calm. If john is both happy and not funny then someone is happy and vice versa. If som... | John is not calm. | contradiction | (![X]:((~strong(X)<~>~tall(X))<=>curious(X)))&
(![X]:((funny(X)|~strong(X))=>(~generous(X)&~humble(X))))&
(![X]:((happy(X)&~tall(X))=>~brave(X)))&
((?[X]:(strong(X)))=>(calm(paul)))&
(((happy(john)&~funny(john)))<=>(?[X]:(happy(X))))&
((?[X]:(~calm(X)))=>(creative(mary)))&
(![X]:((~old(X)|creative(X))<=>(calm(X)&~brave... | ~calm(john) | [
"p0",
"p5",
"p9",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5887764702263814390427431
% SZS output start Proof for 5887764702263814390427431
1. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> curious(X0)) [input p0]
6. ? [X0] : ~calm(X0) => creative(mary) [input p5]
10. ! [X0] : ((~curious(X0) | ~rich(X0)) <=> ~tall(X0)) [input p9]
14. ! [X0] : (~tall(X... | 0 |
If mary is happy or funny then someone is brave and vice versa. Everyone who is curious or strong is not funny. If someone is both tall and humble then someone is not rich or wise. If susan is calm then someone is both not calm and curious and vice versa. Everyone who is generous is kind or not generous and vice versa.... | Alice is humble. | contradiction | (((happy(mary)|funny(mary)))<=>(?[X]:(brave(X))))&
(![X]:((curious(X)|strong(X))=>~funny(X)))&
((?[X]:((tall(X)&humble(X))))=>(?[X]:((~rich(X)|wise(X)))))&
((calm(susan))<=>(?[X]:((~calm(X)&curious(X)))))&
(![X]:(generous(X)<=>(kind(X)|~generous(X))))&
(![X]:((~rich(X)<~>~tall(X))=>~rich(X)))&
(((~funny(alice)&~quiet(a... | humble(alice) | [
"p4",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9150872679833201683802954
% SZS output start Proof for 9150872679833201683802954
5. ! [X0] : (generous(X0) <=> (~generous(X0) | kind(X0))) [input p4]
9. ! [X0] : ((~humble(X0) | generous(X0)) => ~brave(X0)) [input p8]
16. ! [X0] : ((~strong(X0) | humble(X0)) <=> brave(X0)) [input p15]
24.... | 0 |
Everyone who is both creative and quiet is both funny and wise and vice versa. Everyone who is either not calm or creative is either not tall or kind and vice versa. Everyone who is either kind or not wise is tall. Everyone who is not kind is rich or wise. Everyone who is funny is not old or not happy and vice versa. E... | Paul is rich. | entailment | (![X]:((creative(X)&quiet(X))<=>(funny(X)&wise(X))))&
(![X]:((~calm(X)<~>creative(X))<=>(~tall(X)<~>kind(X))))&
(![X]:((kind(X)<~>~wise(X))=>tall(X)))&
(![X]:(~kind(X)=>(rich(X)|wise(X))))&
(![X]:(funny(X)<=>(~old(X)|~happy(X))))&
(![X]:((calm(X)&~strong(X))=>(creative(X)|~humble(X))))&
(![X]:((curious(X)|~happy(X))<=>... | rich(paul) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p7",
"p8",
"p10",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3422451856213444138728459
% SZS output start Proof for 3422451856213444138728459
1. ! [X0] : ((quiet(X0) & creative(X0)) <=> (wise(X0) & funny(X0))) [input p0]
2. ! [X0] : ((~calm(X0) <~> creative(X0)) <=> (~tall(X0) <~> kind(X0))) [input p1]
3. ! [X0] : ((kind(X0) <~> ~wise(X0)) => tall(... | 0 |
If someone is not kind or not strong then someone is both patient and wise.
If fred is not curious or tall then someone is humble or old.
If john is either rich or not calm then someone is not calm or not generous.
Everyone who is both not calm and not funny is generous.
Everyone who is not calm is not generous or not ... | John is not kind. | neutral | ((?[X]:((~kind(X)|~strong(X))))=>(?[X]:((patient(X)&wise(X)))))&
(((~curious(fred)|tall(fred)))=>(?[X]:((humble(X)|old(X)))))&
(((rich(john)<~>~calm(john)))=>(?[X]:((~calm(X)|~generous(X)))))&
(![X]:((~calm(X)&~funny(X))=>generous(X)))&
(![X]:(~calm(X)=>(~generous(X)|~kind(X))))&
((?[X]:((brave(X)|curious(X))))<=>(quie... | ~kind(john) | [] | null | 0 |
Everyone who is humble or happy is either not old or kind and vice versa. If someone is either curious or quiet then someone is quiet or generous and vice versa. Everyone who is either not kind or not calm is patient and vice versa. If alice is not happy or brave then someone is creative. If someone is both generous an... | John is not quiet. | entailment | (![X]:((humble(X)|happy(X))<=>(~old(X)<~>kind(X))))&
((?[X]:((curious(X)<~>quiet(X))))<=>(?[X]:((quiet(X)|generous(X)))))&
(![X]:((~kind(X)<~>~calm(X))<=>patient(X)))&
(((~happy(alice)|brave(alice)))=>(?[X]:(creative(X))))&
((?[X]:((generous(X)&quiet(X))))<=>(?[X]:((~kind(X)<~>calm(X)))))&
(![X]:((~brave(X)|old(X))=>(~... | ~quiet(john) | [
"p2",
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 704812518310636151485761
% SZS output start Proof for 704812518310636151485761
3. ! [X0] : ((~kind(X0) <~> ~calm(X0)) <=> patient(X0)) [input p2]
5. ? [X0] : (quiet(X0) & generous(X0)) <=> ? [X0] : (~kind(X0) <~> calm(X0)) [input p4]
7. ! [X0] : ((kind(X0) & patient(X0)) <=> generous(X0))... | 0 |
Everyone who is funny is either generous or not creative.
Everyone who is both happy and wise is curious or not old and vice versa.
If fred is either not strong or not quiet then john is either curious or humble.
Everyone who is curious or calm is both not kind and not quiet.
If someone is patient then someone is both ... | Alice is rich. | contradiction | (![X]:(funny(X)=>(generous(X)<~>~creative(X))))&
(![X]:((happy(X)&wise(X))<=>(curious(X)|~old(X))))&
(((~strong(fred)<~>~quiet(fred)))=>((curious(john)<~>humble(john))))&
(![X]:((curious(X)|calm(X))=>(~kind(X)&~quiet(X))))&
((?[X]:(patient(X)))<=>(?[X]:((brave(X)&curious(X)))))&
((?[X]:((~happy(X)<~>wise(X))))=>(?[X]:(... | rich(alice) | [
"p1",
"p6",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1073427614206026904759162
% SZS output start Proof for 1073427614206026904759162
2. ! [X0] : ((wise(X0) & happy(X0)) <=> (~old(X0) | curious(X0))) [input p1]
7. (~calm(paul) | ~wise(paul)) <=> ? [X0] : (~old(X0) <~> old(X0)) [input p6]
9. ! [X0] : (~calm(X0) => ~wise(X0)) [input p8]
15. ~... | 0 |
If someone is either rich or not creative then fred is not tall or not happy and vice versa. If someone is brave then someone is calm and vice versa. If alice is both not wise and not quiet then someone is both calm and not old and vice versa. Everyone who is wise or not patient is either not happy or rich and vice ver... | Paul is old. | entailment | ((?[X]:((rich(X)<~>~creative(X))))<=>((~tall(fred)|~happy(fred))))&
((?[X]:(brave(X)))<=>(?[X]:(calm(X))))&
(((~wise(alice)&~quiet(alice)))<=>(?[X]:((calm(X)&~old(X)))))&
(![X]:((wise(X)|~patient(X))<=>(~happy(X)<~>rich(X))))&
(![X]:(~kind(X)=>(wise(X)<~>creative(X))))&
(![X]:(calm(X)<=>~old(X)))&
(![X]:((wise(X)&~humb... | old(paul) | [
"p2",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 908058366515598797318826
% SZS output start Proof for 908058366515598797318826
3. (~quiet(alice) & ~wise(alice)) <=> ? [X0] : (~old(X0) & calm(X0)) [input p2]
6. ! [X0] : (calm(X0) <=> ~old(X0)) [input p5]
14. ! [X0] : ((creative(X0) | ~wise(X0)) => (quiet(X0) & ~curious(X0))) [input p13]... | 0 |
If someone is not generous then susan is both not quiet and not old and vice versa.
Everyone who is not curious or not humble is quiet and vice versa.
If someone is either wise or not tall then someone is generous or not quiet and vice versa.
Everyone who is both not curious and not wise is curious or not quiet and vic... | Fred is not curious. | entailment | ((?[X]:(~generous(X)))<=>((~quiet(susan)&~old(susan))))&
(![X]:((~curious(X)|~humble(X))<=>quiet(X)))&
((?[X]:((wise(X)<~>~tall(X))))<=>(?[X]:((generous(X)|~quiet(X)))))&
(![X]:((~curious(X)&~wise(X))<=>(curious(X)|~quiet(X))))&
((?[X]:((~strong(X)<~>tall(X))))<=>((humble(mary)|~happy(mary))))&
((?[X]:((~quiet(X)<~>~cu... | ~curious(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6930191870787159333726750
% SZS output start Proof for 6930191870787159333726750
4. ! [X0] : ((~wise(X0) & ~curious(X0)) <=> (~quiet(X0) | curious(X0))) [input p3]
23. curious(fred) [input hypothesis]
43. ! [X0] : (((~wise(X0) & ~curious(X0)) | (quiet(X0) & ~curious(X0))) & ((~quiet(X0) |... | 0 |
If mary is curious then someone is either creative or not brave.
If someone is not patient or generous then someone is not old.
Everyone who is not happy is both not humble and curious.
If mary is quiet then fred is generous.
Everyone who is both not rich and happy is curious and vice versa.
Everyone who is strong is b... | Paul is not tall. | entailment | ((curious(mary))=>(?[X]:((creative(X)<~>~brave(X)))))&
((?[X]:((~patient(X)|generous(X))))=>(?[X]:(~old(X))))&
(![X]:(~happy(X)=>(~humble(X)&curious(X))))&
((quiet(mary))=>(generous(fred)))&
(![X]:((~rich(X)&happy(X))<=>curious(X)))&
(![X]:(strong(X)<=>(funny(X)&strong(X))))&
(((~tall(fred)<~>~creative(fred)))=>((~rich... | ~tall(paul) | [
"p2",
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2899012657076680585283923
% SZS output start Proof for 2899012657076680585283923
3. ! [X0] : (~happy(X0) => (curious(X0) & ~humble(X0))) [input p2]
5. ! [X0] : ((happy(X0) & ~rich(X0)) <=> curious(X0)) [input p4]
8. ! [X0] : ((funny(X0) | ~brave(X0)) <=> ~tall(X0)) [input p7]
10. ! [X0] :... | 0 |
If lucy is not humble or not kind then someone is not generous and vice versa. Everyone who is not generous or calm is either curious or not funny. Everyone who is either strong or not calm is both not tall and not creative. Everyone who is not humble or brave is either not rich or happy and vice versa. Everyone who is... | Paul is rich. | entailment | (((~humble(lucy)|~kind(lucy)))<=>(?[X]:(~generous(X))))&
(![X]:((~generous(X)|calm(X))=>(curious(X)<~>~funny(X))))&
(![X]:((strong(X)<~>~calm(X))=>(~tall(X)&~creative(X))))&
(![X]:((~humble(X)|brave(X))<=>(~rich(X)<~>happy(X))))&
(![X]:((~rich(X)|~strong(X))=>(~generous(X)&~humble(X))))&
(![X]:(~funny(X)=>(wise(X)<~>~c... | rich(paul) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4014916049061662995945903
% SZS output start Proof for 4014916049061662995945903
5. ! [X0] : ((~strong(X0) | ~rich(X0)) => (~humble(X0) & ~generous(X0))) [input p4]
11. ! [X0] : ((generous(X0) & happy(X0)) <=> (~humble(X0) | ~patient(X0))) [input p10]
24. ~rich(paul) [input hypothesis]
28... | 0 |
Everyone who is either not rich or strong is not generous.
Everyone who is not strong is calm or not calm and vice versa.
If fred is funny then someone is either rich or brave.
If someone is strong then fred is happy or calm and vice versa.
If someone is not quiet then someone is not humble.
Everyone who is either not ... | Susan is creative. | contradiction | (![X]:((~rich(X)<~>strong(X))=>~generous(X)))&
(![X]:(~strong(X)<=>(calm(X)|~calm(X))))&
((funny(fred))=>(?[X]:((rich(X)<~>brave(X)))))&
((?[X]:(strong(X)))<=>((happy(fred)|calm(fred))))&
((?[X]:(~quiet(X)))=>(?[X]:(~humble(X))))&
(![X]:((~tall(X)<~>creative(X))=>(~tall(X)&curious(X))))&
(((rich(susan)|~tall(susan)))=>... | creative(susan) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7973067484859070142926019
% SZS output start Proof for 7973067484859070142926019
6. ! [X0] : ((~tall(X0) <~> creative(X0)) => (curious(X0) & ~tall(X0))) [input p5]
7. (~tall(susan) | rich(susan)) => ? [X0] : (kind(X0) & ~kind(X0)) [input p6]
23. creative(susan) [input hypothesis]
29. ! [X... | 0 |
Everyone who is not quiet is curious or calm and vice versa. If someone is not funny then paul is curious or tall. Everyone who is curious is either tall or not funny. If someone is patient or not old then someone is quiet and vice versa. Everyone who is either kind or generous is old or quiet and vice versa. If someon... | Susan is patient. | entailment | (![X]:(~quiet(X)<=>(curious(X)|calm(X))))&
((?[X]:(~funny(X)))=>((curious(paul)|tall(paul))))&
(![X]:(curious(X)=>(tall(X)<~>~funny(X))))&
((?[X]:((patient(X)|~old(X))))<=>(?[X]:(quiet(X))))&
(![X]:((kind(X)<~>generous(X))<=>(old(X)|quiet(X))))&
((?[X]:((calm(X)&creative(X))))=>(?[X]:((~creative(X)<~>old(X)))))&
(![X]:... | patient(susan) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 306647368050552532571446
% SZS output start Proof for 306647368050552532571446
14. ? [X0] : ~patient(X0) <=> ? [X0] : (curious(X0) & ~funny(X0)) [input p13]
15. ? [X0] : (curious(X0) | ~rich(X0)) => ? [X0] : (~brave(X0) & brave(X0)) [input p14]
24. ~patient(susan) [input hypothesis]
28. ?... | 0 |
Everyone who is either strong or not funny is either quiet or patient and vice versa.
Everyone who is not calm or not quiet is both not wise and not patient and vice versa.
Everyone who is not curious is either wise or generous and vice versa.
Everyone who is not happy or not kind is not calm.
Everyone who is old or no... | Lucy is not calm. | neutral | (![X]:((strong(X)<~>~funny(X))<=>(quiet(X)<~>patient(X))))&
(![X]:((~calm(X)|~quiet(X))<=>(~wise(X)&~patient(X))))&
(![X]:(~curious(X)<=>(wise(X)<~>generous(X))))&
(![X]:((~happy(X)|~kind(X))=>~calm(X)))&
(![X]:((old(X)|~generous(X))<=>(~strong(X)|~brave(X))))&
(![X]:((tall(X)<~>~curious(X))<=>(old(X)|tall(X))))&
(![X]... | ~calm(lucy) | [] | null | 0 |
Everyone who is not creative or not old is both not creative and curious and vice versa.
Everyone who is quiet is either curious or not kind.
If susan is both not creative and not humble then paul is funny or not generous.
Everyone who is calm or happy is either old or creative and vice versa.
Everyone who is either cr... | Paul is not patient. | entailment | (![X]:((~creative(X)|~old(X))<=>(~creative(X)&curious(X))))&
(![X]:(quiet(X)=>(curious(X)<~>~kind(X))))&
(((~creative(susan)&~humble(susan)))=>((funny(paul)|~generous(paul))))&
(![X]:((calm(X)|happy(X))<=>(old(X)<~>creative(X))))&
(![X]:((creative(X)<~>strong(X))<=>(brave(X)<~>funny(X))))&
(![X]:(~old(X)<=>(patient(X)&... | ~patient(paul) | [
"p0",
"p3",
"p5",
"p8",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1224003796572354613677189
% SZS output start Proof for 1224003796572354613677189
1. ! [X0] : ((~old(X0) | ~creative(X0)) <=> (curious(X0) & ~creative(X0))) [input p0]
4. ! [X0] : ((happy(X0) | calm(X0)) <=> (old(X0) <~> creative(X0))) [input p3]
6. ! [X0] : (~old(X0) <=> (quiet(X0) & pati... | 0 |
Everyone who is both not calm and not happy is both not kind and not calm and vice versa.
If john is not curious or not humble then someone is both calm and not quiet.
Everyone who is not calm or funny is not funny and vice versa.
If paul is not creative or funny then someone is not calm or not happy.
Everyone who is n... | John is tall. | entailment | (![X]:((~calm(X)&~happy(X))<=>(~kind(X)&~calm(X))))&
(((~curious(john)|~humble(john)))=>(?[X]:((calm(X)&~quiet(X)))))&
(![X]:((~calm(X)|funny(X))<=>~funny(X)))&
(((~creative(paul)|funny(paul)))=>(?[X]:((~calm(X)|~happy(X)))))&
(![X]:((~calm(X)|old(X))=>(~patient(X)<~>tall(X))))&
(![X]:((patient(X)|~tall(X))=>(patient(X... | tall(john) | [
"p2",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1490760358791548486859378
% SZS output start Proof for 1490760358791548486859378
3. ! [X0] : ((funny(X0) | ~calm(X0)) <=> ~funny(X0)) [input p2]
5. ! [X0] : ((old(X0) | ~calm(X0)) => (~patient(X0) <~> tall(X0))) [input p4]
6. ! [X0] : ((~tall(X0) | patient(X0)) => (funny(X0) | patient(X0)... | 0 |
If someone is both not rich and tall then someone is funny or creative and vice versa.
If someone is creative then someone is either happy or kind and vice versa.
If susan is either strong or not humble then mary is not funny or not generous.
Everyone who is both generous and not funny is both creative and not happy.
E... | Fred is wise. | entailment | ((?[X]:((~rich(X)&tall(X))))<=>(?[X]:((funny(X)|creative(X)))))&
((?[X]:(creative(X)))<=>(?[X]:((happy(X)<~>kind(X)))))&
(((strong(susan)<~>~humble(susan)))=>((~funny(mary)|~generous(mary))))&
(![X]:((generous(X)&~funny(X))=>(creative(X)&~happy(X))))&
(![X]:((funny(X)|rich(X))=>(~old(X)<~>generous(X))))&
(![X]:((happy(... | wise(fred) | [
"p0",
"p3",
"p8",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1238303230761611160479410
% SZS output start Proof for 1238303230761611160479410
1. ? [X0] : (tall(X0) & ~rich(X0)) <=> ? [X0] : (creative(X0) | funny(X0)) [input p0]
4. ! [X0] : ((~funny(X0) & generous(X0)) => (~happy(X0) & creative(X0))) [input p3]
9. ! [X0] : ((generous(X0) | quiet(X0)... | 0 |
If someone is either not tall or old then someone is either calm or funny and vice versa.
Everyone who is not brave or quiet is both not brave and not funny.
If someone is rich or strong then lucy is not funny and vice versa.
Everyone who is not quiet is both not strong and creative and vice versa.
If lucy is both not ... | Lucy is funny. | contradiction | ((?[X]:((~tall(X)<~>old(X))))<=>(?[X]:((calm(X)<~>funny(X)))))&
(![X]:((~brave(X)|quiet(X))=>(~brave(X)&~funny(X))))&
((?[X]:((rich(X)|strong(X))))<=>(~funny(lucy)))&
(![X]:(~quiet(X)<=>(~strong(X)&creative(X))))&
(((~curious(lucy)&~creative(lucy)))=>(?[X]:((~creative(X)&rich(X)))))&
(![X]:((~kind(X)|generous(X))<=>(qu... | funny(lucy) | [
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7471062490159093006574743
% SZS output start Proof for 7471062490159093006574743
3. ? [X0] : (strong(X0) | rich(X0)) <=> ~funny(lucy) [input p2]
17. old(lucy) & rich(lucy) [input p16]
23. funny(lucy) [input hypothesis]
37. (? [X0] : (strong(X0) | rich(X0)) | funny(lucy)) & (~funny(lucy) |... | 0 |
Everyone who is either tall or not quiet is both not strong and kind.
Everyone who is either tall or not patient is not creative.
If paul is not creative then alice is not wise or wise and vice versa.
If someone is either not kind or curious then lucy is quiet and vice versa.
Everyone who is creative or not calm is eit... | Alice is old. | entailment | (![X]:((tall(X)<~>~quiet(X))=>(~strong(X)&kind(X))))&
(![X]:((tall(X)<~>~patient(X))=>~creative(X)))&
((~creative(paul))<=>((~wise(alice)|wise(alice))))&
((?[X]:((~kind(X)<~>curious(X))))<=>(quiet(lucy)))&
(![X]:((creative(X)|~calm(X))<=>(tall(X)<~>~funny(X))))&
(![X]:((~patient(X)<~>happy(X))<=>(~curious(X)<~>~tall(X)... | old(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 94456473527795691432701
% SZS output start Proof for 94456473527795691432701
13. ! [X0] : (old(X0) <=> (happy(X0) | ~happy(X0))) [input p12]
24. ~old(alice) [input hypothesis]
64. ! [X0] : ((old(X0) | (~happy(X0) & happy(X0))) & ((happy(X0) | ~happy(X0)) | ~old(X0))) [nnf transformation 1... | 0 |
If someone is either not kind or tall then lucy is either wise or brave and vice versa. If someone is not brave then paul is either generous or not patient. Everyone who is both not tall and funny is both not creative and tall and vice versa. If fred is patient then paul is both generous and not calm and vice versa. If... | John is old. | contradiction | ((?[X]:((~kind(X)<~>tall(X))))<=>((wise(lucy)<~>brave(lucy))))&
((?[X]:(~brave(X)))=>((generous(paul)<~>~patient(paul))))&
(![X]:((~tall(X)&funny(X))<=>(~creative(X)&tall(X))))&
((patient(fred))<=>((generous(paul)&~calm(paul))))&
((?[X]:((calm(X)|~strong(X))))<=>((~generous(john)<~>~brave(john))))&
(![X]:((strong(X)<~>... | old(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1874364408510952046959139
% SZS output start Proof for 1874364408510952046959139
16. ! [X0] : (generous(X0) <=> (generous(X0) <~> old(X0))) [input p15]
25. old(john) [input hypothesis]
65. ! [X0] : ((generous(X0) | ((generous(X0) | ~old(X0)) & (old(X0) | ~generous(X0)))) & (((~old(X0) | ~... | 0 |
If alice is both happy and not rich then someone is either creative or patient. Everyone who is both old and creative is calm or not strong and vice versa. Everyone who is both not creative and patient is not old. Everyone who is strong is both calm and generous. If susan is not quiet then lucy is quiet. Everyone who i... | Lucy is not strong. | contradiction | (((happy(alice)&~rich(alice)))=>(?[X]:((creative(X)<~>patient(X)))))&
(![X]:((old(X)&creative(X))<=>(calm(X)|~strong(X))))&
(![X]:((~creative(X)&patient(X))=>~old(X)))&
(![X]:(strong(X)=>(calm(X)&generous(X))))&
((~quiet(susan))=>(quiet(lucy)))&
(![X]:((old(X)&funny(X))=>(rich(X)<~>~brave(X))))&
((generous(paul))=>(kin... | ~strong(lucy) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3964369853254079793880945
% SZS output start Proof for 3964369853254079793880945
16. ! [X0] : (~strong(X0) <=> (tall(X0) & ~tall(X0))) [input p15]
22. ~strong(lucy) [input hypothesis]
60. ! [X0] : ((~strong(X0) | (~tall(X0) | tall(X0))) & ((tall(X0) & ~tall(X0)) | strong(X0))) [nnf transf... | 0 |
Everyone who is both not wise and not generous is not generous and vice versa.
Everyone who is either curious or not old is not rich or not generous and vice versa.
Everyone who is either quiet or generous is both tall and old and vice versa.
If someone is not kind or not generous then fred is either kind or brave.
If ... | Fred is not quiet. | entailment | (![X]:((~wise(X)&~generous(X))<=>~generous(X)))&
(![X]:((curious(X)<~>~old(X))<=>(~rich(X)|~generous(X))))&
(![X]:((quiet(X)<~>generous(X))<=>(tall(X)&old(X))))&
((?[X]:((~kind(X)|~generous(X))))=>((kind(fred)<~>brave(fred))))&
((~funny(susan))<=>((old(mary)&~tall(mary))))&
(![X]:((~generous(X)&~tall(X))<=>(~kind(X)|qu... | ~quiet(fred) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1656544530455855701741503
% SZS output start Proof for 1656544530455855701741503
6. ! [X0] : ((~tall(X0) & ~generous(X0)) <=> (quiet(X0) | ~kind(X0))) [input p5]
19. ~humble(fred) & generous(fred) [input p18]
24. quiet(fred) [input hypothesis]
43. ! [X0] : (((~tall(X0) & ~generous(X0)) | ... | 0 |
If someone is both not tall and strong then someone is both creative and tall.
If fred is not strong or not calm then paul is either not humble or strong and vice versa.
Everyone who is either not generous or old is both happy and not funny and vice versa.
Everyone who is not curious is both not generous and not quiet ... | Paul is not brave. | neutral | ((?[X]:((~tall(X)&strong(X))))=>(?[X]:((creative(X)&tall(X)))))&
(((~strong(fred)|~calm(fred)))<=>((~humble(paul)<~>strong(paul))))&
(![X]:((~generous(X)<~>old(X))<=>(happy(X)&~funny(X))))&
(![X]:(~curious(X)<=>(~generous(X)&~quiet(X))))&
((?[X]:((funny(X)&wise(X))))=>(?[X]:((wise(X)<~>rich(X)))))&
(![X]:((~rich(X)&pat... | ~brave(paul) | [] | null | 0 |
Everyone who is both funny and curious is either creative or not kind.
Everyone who is either not tall or not brave is rich or quiet.
Everyone who is rich is either not funny or tall.
Everyone who is curious or old is rich or not old and vice versa.
Everyone who is brave is generous or not old and vice versa.
If paul i... | Lucy is tall. | entailment | (![X]:((funny(X)&curious(X))=>(creative(X)<~>~kind(X))))&
(![X]:((~tall(X)<~>~brave(X))=>(rich(X)|quiet(X))))&
(![X]:(rich(X)=>(~funny(X)<~>tall(X))))&
(![X]:((curious(X)|old(X))<=>(rich(X)|~old(X))))&
(![X]:(brave(X)<=>(generous(X)|~old(X))))&
((~funny(paul))=>(?[X]:((wise(X)&~generous(X)))))&
((?[X]:((curious(X)<~>ta... | tall(lucy) | [
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3095967850087459908772779
% SZS output start Proof for 3095967850087459908772779
9. ! [X0] : ((curious(X0) | ~patient(X0)) => ~creative(X0)) [input p8]
10. ! [X0] : ((~creative(X0) | wise(X0)) => (~rich(X0) & patient(X0))) [input p9]
12. ! [X0] : ((~humble(X0) | ~tall(X0)) => (~patient(X0... | 0 |
If someone is patient or old then someone is both funny and curious.
If someone is either not happy or not curious then susan is not curious or not strong.
Everyone who is patient or not brave is generous.
Everyone who is both not generous and kind is not funny.
If someone is both not funny and funny then someone is no... | Alice is generous. | entailment | ((?[X]:((patient(X)|old(X))))=>(?[X]:((funny(X)&curious(X)))))&
((?[X]:((~happy(X)<~>~curious(X))))=>((~curious(susan)|~strong(susan))))&
(![X]:((patient(X)|~brave(X))=>generous(X)))&
(![X]:((~generous(X)&kind(X))=>~funny(X)))&
((?[X]:((~funny(X)&funny(X))))=>(?[X]:(~generous(X))))&
(((happy(john)&~rich(john)))<=>((old... | generous(alice) | [
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8234145710333276406568338
% SZS output start Proof for 8234145710333276406568338
4. ! [X0] : ((kind(X0) & ~generous(X0)) => ~funny(X0)) [input p3]
12. ? [X0] : (funny(X0) <~> curious(X0)) => (generous(alice) & ~generous(alice)) [input p11]
16. ! [X0] : (~curious(X0) <=> (funny(X0) & ~kind... | 0 |
If someone is funny then someone is happy.
If susan is either not humble or quiet then paul is either not rich or not patient.
If lucy is old or strong then alice is either generous or kind and vice versa.
If someone is curious then alice is funny and vice versa.
If someone is not kind then someone is both funny and no... | Alice is not happy. | entailment | ((?[X]:(funny(X)))=>(?[X]:(happy(X))))&
(((~humble(susan)<~>quiet(susan)))=>((~rich(paul)<~>~patient(paul))))&
(((old(lucy)|strong(lucy)))<=>((generous(alice)<~>kind(alice))))&
((?[X]:(curious(X)))<=>(funny(alice)))&
((?[X]:(~kind(X)))=>(?[X]:((funny(X)&~humble(X)))))&
((~creative(paul))=>(?[X]:((quiet(X)&~strong(X))))... | ~happy(alice) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7683741850167379230495175
% SZS output start Proof for 7683741850167379230495175
19. humble(alice) & ~happy(alice) [input p18]
25. happy(alice) [input hypothesis]
157. ~happy(alice) [cnf transformation 19]
168. happy(alice) [cnf transformation 25]
453. $false [subsumption resolution 168,1... | 0 |
Everyone who is strong or not generous is both not old and not happy.
Everyone who is not patient or quiet is not wise or generous and vice versa.
If susan is both not calm and creative then alice is not old or not kind and vice versa.
If lucy is creative or not wise then someone is either not strong or happy.
Everyone... | Alice is not kind. | contradiction | (![X]:((strong(X)|~generous(X))=>(~old(X)&~happy(X))))&
(![X]:((~patient(X)|quiet(X))<=>(~wise(X)|generous(X))))&
(((~calm(susan)&creative(susan)))<=>((~old(alice)|~kind(alice))))&
(((creative(lucy)|~wise(lucy)))=>(?[X]:((~strong(X)<~>happy(X)))))&
(![X]:((~creative(X)<~>~wise(X))=>(~funny(X)&~creative(X))))&
(((genero... | ~kind(alice) | [
"p2",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3861578180687633564895628
% SZS output start Proof for 3861578180687633564895628
3. (creative(susan) & ~calm(susan)) <=> (~kind(alice) | ~old(alice)) [input p2]
16. ! [X0] : (~creative(X0) <=> (funny(X0) | calm(X0))) [input p15]
20. funny(susan) <~> ~creative(susan) [input p19]
24. ~kind(... | 0 |
If someone is both not rich and not calm then someone is both brave and calm and vice versa.
Everyone who is either not strong or not tall is not rich or generous and vice versa.
Everyone who is both not creative and wise is patient or creative and vice versa.
Everyone who is rich or funny is both rich and not curious ... | Mary is wise. | neutral | ((?[X]:((~rich(X)&~calm(X))))<=>(?[X]:((brave(X)&calm(X)))))&
(![X]:((~strong(X)<~>~tall(X))<=>(~rich(X)|generous(X))))&
(![X]:((~creative(X)&wise(X))<=>(patient(X)|creative(X))))&
(![X]:((rich(X)|funny(X))<=>(rich(X)&~curious(X))))&
((?[X]:((~curious(X)&humble(X))))=>(?[X]:((~kind(X)<~>~tall(X)))))&
(((~curious(lucy)&... | wise(mary) | [] | null | 0 |
Everyone who is funny or not creative is not generous or rich and vice versa. Everyone who is both curious and not kind is funny or generous and vice versa. Everyone who is not calm is either funny or quiet. Everyone who is either old or not tall is funny or old and vice versa. If lucy is both not humble and not creati... | Mary is not quiet. | contradiction | (![X]:((funny(X)|~creative(X))<=>(~generous(X)|rich(X))))&
(![X]:((curious(X)&~kind(X))<=>(funny(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creative(paul)&funny(paul)))=>(?[X]:((hu... | ~quiet(mary) | [
"p1",
"p2",
"p6",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9118471520045399704451020
% SZS output start Proof for 9118471520045399704451020
2. ! [X0] : ((~kind(X0) & curious(X0)) <=> (generous(X0) | funny(X0))) [input p1]
3. ! [X0] : (~calm(X0) => (funny(X0) <~> quiet(X0))) [input p2]
7. ! [X0] : (~calm(X0) <=> rich(X0)) [input p6]
8. ! [X0] : ((... | 0 |
Everyone who is either brave or calm is either not calm or not humble.
Everyone who is either not quiet or funny is both not curious and curious.
Everyone who is not patient or not generous is quiet or kind.
If someone is not funny then fred is generous or not brave and vice versa.
Everyone who is either not tall or ki... | Lucy is not old. | entailment | (![X]:((brave(X)<~>calm(X))=>(~calm(X)<~>~humble(X))))&
(![X]:((~quiet(X)<~>funny(X))=>(~curious(X)&curious(X))))&
(![X]:((~patient(X)|~generous(X))=>(quiet(X)|kind(X))))&
((?[X]:(~funny(X)))<=>((generous(fred)|~brave(fred))))&
(![X]:((~tall(X)<~>kind(X))<=>~calm(X)))&
(![X]:((strong(X)<~>~creative(X))=>~strong(X)))&
(... | ~old(lucy) | [
"p4",
"p6",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2213289172386169416833498
% SZS output start Proof for 2213289172386169416833498
5. ! [X0] : ((~tall(X0) <~> kind(X0)) <=> ~calm(X0)) [input p4]
7. ! [X0] : ((tall(X0) | funny(X0)) <=> ~funny(X0)) [input p6]
9. ! [X0] : ((~happy(X0) <~> tall(X0)) => (~curious(X0) & ~calm(X0))) [input p8]
... | 0 |
Everyone who is both not rich and not generous is not generous or rich.
If someone is not curious or not kind then alice is curious.
If mary is both quiet and wise then someone is either patient or not curious and vice versa.
If someone is patient or old then someone is both not rich and brave.
Everyone who is not pati... | Paul is not funny. | entailment | (![X]:((~rich(X)&~generous(X))=>(~generous(X)|rich(X))))&
((?[X]:((~curious(X)|~kind(X))))=>(curious(alice)))&
(((quiet(mary)&wise(mary)))<=>(?[X]:((patient(X)<~>~curious(X)))))&
((?[X]:((patient(X)|old(X))))=>(?[X]:((~rich(X)&brave(X)))))&
(![X]:(~patient(X)=>(calm(X)<~>rich(X))))&
(((~funny(john)<~>funny(john)))=>(?[... | ~funny(paul) | [
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8210581605143088543428073
% SZS output start Proof for 8210581605143088543428073
20. ~patient(paul) [input p19]
21. patient(paul) <~> ~funny(paul) [input p20]
25. funny(paul) [input hypothesis]
69. (funny(paul) | ~patient(paul)) & (~funny(paul) | patient(paul)) [nnf transformation 21]
117... | 0 |
Everyone who is both tall and not happy is both not old and not happy and vice versa.
Everyone who is both generous and creative is either not curious or curious.
Everyone who is humble or wise is either not strong or creative and vice versa.
Everyone who is either not brave or quiet is not kind.
If someone is not funn... | Fred is quiet. | entailment | (![X]:((tall(X)&~happy(X))<=>(~old(X)&~happy(X))))&
(![X]:((generous(X)&creative(X))=>(~curious(X)<~>curious(X))))&
(![X]:((humble(X)|wise(X))<=>(~strong(X)<~>creative(X))))&
(![X]:((~brave(X)<~>quiet(X))=>~kind(X)))&
((?[X]:(~funny(X)))=>(kind(alice)))&
(![X]:((humble(X)&happy(X))=>(brave(X)<~>~creative(X))))&
(![X]:(... | quiet(fred) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6564728311098297218534584
% SZS output start Proof for 6564728311098297218534584
15. ! [X0] : (~quiet(X0) => (~calm(X0) & calm(X0))) [input p14]
23. ~quiet(fred) [input hypothesis]
34. ! [X0] : ((~calm(X0) & calm(X0)) | quiet(X0)) [ennf transformation 15]
99. calm(X0) | quiet(X0) [cnf tra... | 0 |
If john is either not creative or not calm then someone is both not kind and humble and vice versa.
Everyone who is not curious is either not old or calm and vice versa.
Everyone who is tall or not old is not old and vice versa.
If alice is rich or not generous then john is both humble and wise and vice versa.
Everyone... | Mary is funny. | neutral | (((~creative(john)<~>~calm(john)))<=>(?[X]:((~kind(X)&humble(X)))))&
(![X]:(~curious(X)<=>(~old(X)<~>calm(X))))&
(![X]:((tall(X)|~old(X))<=>~old(X)))&
(((rich(alice)|~generous(alice)))<=>((humble(john)&wise(john))))&
(![X]:((funny(X)<~>patient(X))<=>(~strong(X)|calm(X))))&
(![X]:(~old(X)=>(quiet(X)&~tall(X))))&
(![X]:(... | funny(mary) | [] | null | 0 |
If someone is either not calm or rich then lucy is not quiet or not creative.
If someone is humble then someone is not quiet or not calm.
Everyone who is either not rich or quiet is not generous.
Everyone who is funny is not humble or wise and vice versa.
If john is happy or calm then someone is either not tall or funn... | Susan is not brave. | neutral | ((?[X]:((~calm(X)<~>rich(X))))=>((~quiet(lucy)|~creative(lucy))))&
((?[X]:(humble(X)))=>(?[X]:((~quiet(X)|~calm(X)))))&
(![X]:((~rich(X)<~>quiet(X))=>~generous(X)))&
(![X]:(funny(X)<=>(~humble(X)|wise(X))))&
(((happy(john)|calm(john)))=>(?[X]:((~tall(X)<~>funny(X)))))&
(((generous(john)<~>~kind(john)))<=>((rich(mary)|g... | ~brave(susan) | [] | null | 0 |
Everyone who is both wise and not funny is both generous and happy.
Everyone who is either funny or not patient is not rich or not kind.
Everyone who is either quiet or happy is quiet or not strong.
If someone is strong or curious then mary is both not brave and not rich.
Everyone who is both wise and quiet is not pati... | Paul is humble. | entailment | (![X]:((wise(X)&~funny(X))=>(generous(X)&happy(X))))&
(![X]:((funny(X)<~>~patient(X))=>(~rich(X)|~kind(X))))&
(![X]:((quiet(X)<~>happy(X))=>(quiet(X)|~strong(X))))&
((?[X]:((strong(X)|curious(X))))=>((~brave(mary)&~rich(mary))))&
(![X]:((wise(X)&quiet(X))=>(~patient(X)|~calm(X))))&
(![X]:(rich(X)<=>~patient(X)))&
((bra... | humble(paul) | [
"p0",
"p5",
"p11",
"p13",
"p14",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1441714620886050244793896
% SZS output start Proof for 1441714620886050244793896
1. ! [X0] : ((~funny(X0) & wise(X0)) => (happy(X0) & generous(X0))) [input p0]
6. ! [X0] : (rich(X0) <=> ~patient(X0)) [input p5]
12. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (~rich(X0) & kind(X0))) [input p11... | 0 |
Everyone who is either funny or not quiet is not curious and vice versa. If lucy is not tall or not quiet then alice is either old or not happy and vice versa. Everyone who is wise is strong. Everyone who is funny is either not old or old and vice versa. Everyone who is kind or generous is either creative or not rich. ... | Alice is not tall. | contradiction | (![X]:((funny(X)<~>~quiet(X))<=>~curious(X)))&
(((~tall(lucy)|~quiet(lucy)))<=>((old(alice)<~>~happy(alice))))&
(![X]:(wise(X)=>strong(X)))&
(![X]:(funny(X)<=>(~old(X)<~>old(X))))&
(![X]:((kind(X)|generous(X))=>(creative(X)<~>~rich(X))))&
((curious(lucy))<=>(?[X]:((~brave(X)<~>~happy(X)))))&
((?[X]:((calm(X)&~quiet(X))... | ~tall(alice) | [
"p0",
"p3",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8086322814818255888102881
% SZS output start Proof for 8086322814818255888102881
1. ! [X0] : ((funny(X0) <~> ~quiet(X0)) <=> ~curious(X0)) [input p0]
4. ! [X0] : (funny(X0) <=> (~old(X0) <~> old(X0))) [input p3]
15. ! [X0] : ((funny(X0) | generous(X0)) <=> (~curious(X0) & old(X0))) [input... | 0 |
Everyone who is either brave or not strong is both funny and not generous and vice versa. If someone is both not tall and generous then alice is not kind. If someone is creative then someone is both not patient and funny and vice versa. If someone is not curious or not kind then someone is both not strong and kind. If ... | Lucy is not strong. | entailment | (![X]:((brave(X)<~>~strong(X))<=>(funny(X)&~generous(X))))&
((?[X]:((~tall(X)&generous(X))))=>(~kind(alice)))&
((?[X]:(creative(X)))<=>(?[X]:((~patient(X)&funny(X)))))&
((?[X]:((~curious(X)|~kind(X))))=>(?[X]:((~strong(X)&kind(X)))))&
((?[X]:((patient(X)&creative(X))))=>(?[X]:((curious(X)&~happy(X)))))&
(![X]:((funny(X... | ~strong(lucy) | [
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5985891572806211170576680
% SZS output start Proof for 5985891572806211170576680
15. ! [X0] : ((curious(X0) | ~funny(X0)) => (~rich(X0) & rich(X0))) [input p14]
21. ~strong(lucy) | curious(lucy) [input p20]
24. strong(lucy) [input hypothesis]
45. ! [X0] : ((~rich(X0) & rich(X0)) | (~curio... | 0 |
If someone is not brave then paul is both not rich and not strong.
Everyone who is either not calm or not curious is both funny and not old and vice versa.
Everyone who is both not humble and not strong is either not rich or not strong and vice versa.
If someone is both happy and not curious then alice is both generous... | Paul is happy. | contradiction | ((?[X]:(~brave(X)))=>((~rich(paul)&~strong(paul))))&
(![X]:((~calm(X)<~>~curious(X))<=>(funny(X)&~old(X))))&
(![X]:((~humble(X)&~strong(X))<=>(~rich(X)<~>~strong(X))))&
((?[X]:((happy(X)&~curious(X))))<=>((generous(alice)&~old(alice))))&
(![X]:(~wise(X)=>(~happy(X)<~>wise(X))))&
(![X]:((~rich(X)|~humble(X))=>(~kind(X)&... | happy(paul) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 532235246535424721016866
% SZS output start Proof for 532235246535424721016866
5. ! [X0] : (~wise(X0) => (~happy(X0) <~> wise(X0))) [input p4]
11. ! [X0] : ((happy(X0) | ~old(X0)) <=> (~wise(X0) & old(X0))) [input p10]
19. happy(paul) [input hypothesis]
26. ! [X0] : ((~happy(X0) <~> wise(... | 0 |
Everyone who is quiet is either quiet or not kind.
Everyone who is kind or not kind is both calm and not patient and vice versa.
If john is both not patient and not creative then fred is wise.
Everyone who is not humble is not creative or curious.
If john is not happy then someone is either not wise or not old and vice... | Fred is not funny. | contradiction | (![X]:(quiet(X)=>(quiet(X)<~>~kind(X))))&
(![X]:((kind(X)|~kind(X))<=>(calm(X)&~patient(X))))&
(((~patient(john)&~creative(john)))=>(wise(fred)))&
(![X]:(~humble(X)=>(~creative(X)|curious(X))))&
((~happy(john))<=>(?[X]:((~wise(X)<~>~old(X)))))&
(![X]:((rich(X)<~>happy(X))=>(happy(X)&funny(X))))&
(![X]:((creative(X)|hap... | ~funny(fred) | [
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7268125871977347938610565
% SZS output start Proof for 7268125871977347938610565
7. ! [X0] : ((happy(X0) | creative(X0)) => (~brave(X0) <~> ~creative(X0))) [input p6]
8. ! [X0] : ((~wise(X0) & curious(X0)) <=> (~wise(X0) <~> ~brave(X0))) [input p7]
14. ! [X0] : ((~creative(X0) & ~funny(X0... | 0 |
Everyone who is not curious is either not old or not calm. If john is quiet or not tall then someone is not curious or tall. Everyone who is either not creative or patient is not rich. If paul is not tall or not strong then alice is both not patient and happy and vice versa. If someone is calm then alice is both happy ... | Mary is not rich. | neutral | (![X]:(~curious(X)=>(~old(X)<~>~calm(X))))&
(((quiet(john)|~tall(john)))=>(?[X]:((~curious(X)|tall(X)))))&
(![X]:((~creative(X)<~>patient(X))=>~rich(X)))&
(((~tall(paul)|~strong(paul)))<=>((~patient(alice)&happy(alice))))&
((?[X]:(calm(X)))<=>((happy(alice)&~calm(alice))))&
(((~calm(alice)|~patient(alice)))<=>((~old(lu... | ~rich(mary) | [] | null | 0 |
If mary is creative or not tall then john is either wise or strong and vice versa.
If lucy is both kind and not creative then alice is strong or not calm and vice versa.
Everyone who is not calm or calm is either not quiet or not strong.
Everyone who is not patient or funny is calm or old.
If john is not creative then ... | John is funny. | entailment | (((creative(mary)|~tall(mary)))<=>((wise(john)<~>strong(john))))&
(((kind(lucy)&~creative(lucy)))<=>((strong(alice)|~calm(alice))))&
(![X]:((~calm(X)|calm(X))=>(~quiet(X)<~>~strong(X))))&
(![X]:((~patient(X)|funny(X))=>(calm(X)|old(X))))&
((~creative(john))=>(funny(susan)))&
(![X]:((~calm(X)|~brave(X))<=>(~patient(X)|~... | funny(john) | [
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2304025276163816646666261
% SZS output start Proof for 2304025276163816646666261
10. ! [X0] : ((funny(X0) <~> brave(X0)) <=> (~brave(X0) & ~patient(X0))) [input p9]
20. ~patient(john) & strong(john) [input p19]
24. ~funny(john) [input hypothesis]
52. ! [X0] : ((((~brave(X0) | ~funny(X0)) ... | 0 |
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