premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either brave or patient is either old or happy.
If lucy is not kind then someone is either curious or generous.
Everyone who is brave is both not rich and tall and vice versa.
Everyone who is either calm or not rich is rich or not calm and vice versa.
Everyone who is funny is curious and vice versa.
Eve... | Fred is patient. | entailment | (![X]:((brave(X)<~>patient(X))=>(old(X)<~>happy(X))))&
((~kind(lucy))=>(?[X]:((curious(X)<~>generous(X)))))&
(![X]:(brave(X)<=>(~rich(X)&tall(X))))&
(![X]:((calm(X)<~>~rich(X))<=>(rich(X)|~calm(X))))&
(![X]:(funny(X)<=>curious(X)))&
(![X]:((~curious(X)|~rich(X))<=>(humble(X)<~>~humble(X))))&
(![X]:((old(X)&wise(X))<=>(... | patient(fred) | [
"p2",
"p3",
"p7",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6726606820183336864668616
% SZS output start Proof for 6726606820183336864668616
3. ! [X0] : (brave(X0) <=> (tall(X0) & ~rich(X0))) [input p2]
4. ! [X0] : ((calm(X0) <~> ~rich(X0)) <=> (~calm(X0) | rich(X0))) [input p3]
8. ! [X0] : (tall(X0) <=> (~tall(X0) | ~calm(X0))) [input p7]
11. ! [... | 0 |
If someone is either kind or not happy then lucy is both not rich and old and vice versa. Everyone who is rich or not kind is both not happy and not creative and vice versa. If someone is curious or generous then susan is either patient or old. Everyone who is humble or not old is not humble or happy. If paul is not ri... | Paul is old. | entailment | ((?[X]:((kind(X)<~>~happy(X))))<=>((~rich(lucy)&old(lucy))))&
(![X]:((rich(X)|~kind(X))<=>(~happy(X)&~creative(X))))&
((?[X]:((curious(X)|generous(X))))=>((patient(susan)<~>old(susan))))&
(![X]:((humble(X)|~old(X))=>(~humble(X)|happy(X))))&
((~rich(paul))=>((~patient(paul)<~>~kind(paul))))&
(![X]:((calm(X)|~happy(X))=>... | old(paul) | [
"p1",
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5704666756289987988940164
% SZS output start Proof for 5704666756289987988940164
2. ! [X0] : ((~kind(X0) | rich(X0)) <=> (~creative(X0) & ~happy(X0))) [input p1]
5. ~rich(paul) => (~patient(paul) <~> ~kind(paul)) [input p4]
8. ! [X0] : ((rich(X0) | ~old(X0)) => patient(X0)) [input p7]
10.... | 0 |
If john is rich then fred is not patient or not happy.
Everyone who is not wise is either not generous or quiet.
If mary is both kind and generous then someone is either creative or wise.
If someone is not calm or strong then someone is either not tall or rich and vice versa.
If someone is either not patient or brave t... | Mary is not happy. | contradiction | ((rich(john))=>((~patient(fred)|~happy(fred))))&
(![X]:(~wise(X)=>(~generous(X)<~>quiet(X))))&
(((kind(mary)&generous(mary)))=>(?[X]:((creative(X)<~>wise(X)))))&
((?[X]:((~calm(X)|strong(X))))<=>(?[X]:((~tall(X)<~>rich(X)))))&
((?[X]:((~patient(X)<~>brave(X))))=>(?[X]:((humble(X)<~>~old(X)))))&
(![X]:(~happy(X)<=>(~wis... | ~happy(mary) | [
"p1",
"p5",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9212355564484518342381983
% SZS output start Proof for 9212355564484518342381983
2. ! [X0] : (~wise(X0) => (~generous(X0) <~> quiet(X0))) [input p1]
6. ! [X0] : (~happy(X0) <=> (quiet(X0) & ~wise(X0))) [input p5]
22. ~generous(mary) | happy(mary) [input p21]
25. ~happy(mary) [input hypoth... | 0 |
If susan is brave then paul is either kind or not creative and vice versa.
Everyone who is not kind or not rich is both not wise and not humble and vice versa.
Everyone who is both not quiet and rich is either not creative or wise and vice versa.
If someone is wise or happy then fred is not strong or humble and vice ve... | Paul is not humble. | entailment | ((brave(susan))<=>((kind(paul)<~>~creative(paul))))&
(![X]:((~kind(X)|~rich(X))<=>(~wise(X)&~humble(X))))&
(![X]:((~quiet(X)&rich(X))<=>(~creative(X)<~>wise(X))))&
((?[X]:((wise(X)|happy(X))))<=>((~strong(fred)|humble(fred))))&
(((~happy(john)<~>humble(john)))=>((~quiet(lucy)<~>~wise(lucy))))&
(![X]:((patient(X)<~>~hap... | ~humble(paul) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1835030428384580657246218
% SZS output start Proof for 1835030428384580657246218
2. ! [X0] : ((~rich(X0) | ~kind(X0)) <=> (~humble(X0) & ~wise(X0))) [input p1]
12. ! [X0] : ((rich(X0) | ~old(X0)) <=> (~kind(X0) & ~creative(X0))) [input p11]
23. humble(paul) [input hypothesis]
34. ! [X0] :... | 0 |
Everyone who is either funny or not kind is either not wise or wise and vice versa.
Everyone who is not wise or not brave is kind and vice versa.
If someone is both quiet and not wise then john is either tall or not rich and vice versa.
If someone is not calm or curious then lucy is either calm or not curious.
Everyone... | Paul is not rich. | contradiction | (![X]:((funny(X)<~>~kind(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((~wise(X)|~brave(X))<=>kind(X)))&
((?[X]:((quiet(X)&~wise(X))))<=>((tall(john)<~>~rich(john))))&
((?[X]:((~calm(X)|curious(X))))=>((calm(lucy)<~>~curious(lucy))))&
(![X]:(old(X)<=>~kind(X)))&
(![X]:((~brave(X)|~rich(X))=>(~brave(X)<~>~rich(X))))&
((?[X]:(str... | ~rich(paul) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 286012319674897343422664
% SZS output start Proof for 286012319674897343422664
1. ! [X0] : ((funny(X0) <~> ~kind(X0)) <=> (~wise(X0) <~> wise(X0))) [input p0]
2. ! [X0] : ((~brave(X0) | ~wise(X0)) <=> kind(X0)) [input p1]
5. ! [X0] : (old(X0) <=> ~kind(X0)) [input p4]
6. ! [X0] : ((~rich(... | 0 |
Everyone who is both not happy and not quiet is either quiet or calm. Everyone who is not creative or funny is not curious or kind. If paul is happy then someone is not creative or not happy and vice versa. If john is either strong or not wise then susan is both not calm and curious. If paul is either not strong or not... | Lucy is not happy. | neutral | (![X]:((~happy(X)&~quiet(X))=>(quiet(X)<~>calm(X))))&
(![X]:((~creative(X)|funny(X))=>(~curious(X)|kind(X))))&
((happy(paul))<=>(?[X]:((~creative(X)|~happy(X)))))&
(((strong(john)<~>~wise(john)))=>((~calm(susan)&curious(susan))))&
(((~strong(paul)<~>~curious(paul)))<=>(?[X]:((patient(X)&creative(X)))))&
(((old(john)&~o... | ~happy(lucy) | [] | null | 0 |
Everyone who is old or patient is either kind or not quiet. Everyone who is creative or not generous is both generous and not calm and vice versa. If susan is not wise then someone is both old and rich. If lucy is either creative or wise then someone is both not curious and humble. Everyone who is brave or not tall is ... | Lucy is not funny. | contradiction | (![X]:((old(X)|patient(X))=>(kind(X)<~>~quiet(X))))&
(![X]:((creative(X)|~generous(X))<=>(generous(X)&~calm(X))))&
((~wise(susan))=>(?[X]:((old(X)&rich(X)))))&
(((creative(lucy)<~>wise(lucy)))=>(?[X]:((~curious(X)&humble(X)))))&
(![X]:((brave(X)|~tall(X))=>(tall(X)&quiet(X))))&
(![X]:((wise(X)&~quiet(X))=>(~patient(X)<... | ~funny(lucy) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1695793935261867378265007
% SZS output start Proof for 1695793935261867378265007
2. ! [X0] : ((~generous(X0) | creative(X0)) <=> (~calm(X0) & generous(X0))) [input p1]
12. ! [X0] : ((funny(X0) & ~happy(X0)) <=> (~old(X0) | generous(X0))) [input p11]
23. ~funny(lucy) [input hypothesis]
43.... | 0 |
Everyone who is either calm or not wise is not creative and vice versa. Everyone who is both not generous and calm is either not wise or not funny. Everyone who is both not quiet and patient is both wise and not funny. Everyone who is not strong is not curious or patient and vice versa. If paul is both not quiet and no... | Paul is not generous. | neutral | (![X]:((calm(X)<~>~wise(X))<=>~creative(X)))&
(![X]:((~generous(X)&calm(X))=>(~wise(X)<~>~funny(X))))&
(![X]:((~quiet(X)&patient(X))=>(wise(X)&~funny(X))))&
(![X]:(~strong(X)<=>(~curious(X)|patient(X))))&
(((~quiet(paul)&~patient(paul)))<=>(?[X]:((~wise(X)&wise(X)))))&
(![X]:((~brave(X)&brave(X))<=>(kind(X)&quiet(X))))... | ~generous(paul) | [] | null | 0 |
Everyone who is rich or not curious is either not wise or quiet and vice versa.
Everyone who is either not generous or brave is both not curious and wise and vice versa.
Everyone who is both wise and not generous is humble or wise.
Everyone who is either curious or not rich is either quiet or happy and vice versa.
If j... | Susan is wise. | neutral | (![X]:((rich(X)|~curious(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:((~generous(X)<~>brave(X))<=>(~curious(X)&wise(X))))&
(![X]:((wise(X)&~generous(X))=>(humble(X)|wise(X))))&
(![X]:((curious(X)<~>~rich(X))<=>(quiet(X)<~>happy(X))))&
(((~humble(john)&~tall(john)))=>(?[X]:(kind(X))))&
(![X]:((calm(X)&~funny(X))<=>(happy(X)|~g... | wise(susan) | [] | null | 0 |
If alice is both rich and not quiet then fred is either not wise or funny and vice versa. Everyone who is both not quiet and humble is not creative and vice versa. Everyone who is either not curious or not creative is not strong or happy. Everyone who is either not funny or old is old or not funny. Everyone who is gene... | Paul is kind. | neutral | (((rich(alice)&~quiet(alice)))<=>((~wise(fred)<~>funny(fred))))&
(![X]:((~quiet(X)&humble(X))<=>~creative(X)))&
(![X]:((~curious(X)<~>~creative(X))=>(~strong(X)|happy(X))))&
(![X]:((~funny(X)<~>old(X))=>(old(X)|~funny(X))))&
(![X]:(generous(X)<=>(~quiet(X)|creative(X))))&
((?[X]:(~rich(X)))<=>((~old(lucy)<~>~patient(lu... | kind(paul) | [] | null | 0 |
Everyone who is not curious or not patient is either not generous or not creative.
Everyone who is happy is not strong or not funny.
Everyone who is not quiet or wise is both brave and old.
If lucy is rich or tall then paul is not humble and vice versa.
Everyone who is creative is not patient.
Everyone who is strong is... | Paul is happy. | entailment | (![X]:((~curious(X)|~patient(X))=>(~generous(X)<~>~creative(X))))&
(![X]:(happy(X)=>(~strong(X)|~funny(X))))&
(![X]:((~quiet(X)|wise(X))=>(brave(X)&old(X))))&
(((rich(lucy)|tall(lucy)))<=>(~humble(paul)))&
(![X]:(creative(X)=>~patient(X)))&
(![X]:(strong(X)<=>(rich(X)|~kind(X))))&
(![X]:((~patient(X)&generous(X))<=>(~b... | happy(paul) | [
"p2",
"p6",
"p9",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2281343663188639452597238
% SZS output start Proof for 2281343663188639452597238
3. ! [X0] : ((wise(X0) | ~quiet(X0)) => (old(X0) & brave(X0))) [input p2]
7. ! [X0] : ((generous(X0) & ~patient(X0)) <=> (curious(X0) | ~brave(X0))) [input p6]
10. ? [X0] : funny(X0) <=> (~rich(paul) & ~brave... | 0 |
If john is calm or old then someone is both humble and not kind.
If someone is both not strong and not kind then someone is either not happy or patient and vice versa.
Everyone who is both quiet and generous is either not curious or rich and vice versa.
If lucy is both not generous and old then someone is either tall o... | Mary is strong. | entailment | (((calm(john)|old(john)))=>(?[X]:((humble(X)&~kind(X)))))&
((?[X]:((~strong(X)&~kind(X))))<=>(?[X]:((~happy(X)<~>patient(X)))))&
(![X]:((quiet(X)&generous(X))<=>(~curious(X)<~>rich(X))))&
(((~generous(lucy)&old(lucy)))<=>(?[X]:((tall(X)<~>patient(X)))))&
(![X]:((~generous(X)<~>~kind(X))<=>(strong(X)|~kind(X))))&
(![X]:... | strong(mary) | [
"p4",
"p6",
"p9",
"p10",
"p11",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3708746162015901817822777
% SZS output start Proof for 3708746162015901817822777
5. ! [X0] : ((~generous(X0) <~> ~kind(X0)) <=> (~kind(X0) | strong(X0))) [input p4]
7. ! [X0] : (~brave(X0) => wise(X0)) [input p6]
10. ! [X0] : ((~old(X0) <~> ~brave(X0)) => (~generous(X0) | calm(X0))) [inpu... | 0 |
If susan is both patient and quiet then someone is both calm and tall.
Everyone who is curious or not strong is strong or not generous and vice versa.
If someone is both not wise and not patient then susan is not strong or not curious.
If someone is either kind or strong then someone is both not creative and not patien... | Fred is quiet. | neutral | (((patient(susan)&quiet(susan)))=>(?[X]:((calm(X)&tall(X)))))&
(![X]:((curious(X)|~strong(X))<=>(strong(X)|~generous(X))))&
((?[X]:((~wise(X)&~patient(X))))=>((~strong(susan)|~curious(susan))))&
((?[X]:((kind(X)<~>strong(X))))=>(?[X]:((~creative(X)&~patient(X)))))&
(((wise(john)<~>generous(john)))<=>(?[X]:((~wise(X)|~c... | quiet(fred) | [] | null | 0 |
Everyone who is not wise or kind is both tall and wise.
If mary is either not rich or not quiet then someone is not creative or tall and vice versa.
If someone is not generous then susan is both kind and humble.
If lucy is strong or not patient then susan is not rich and vice versa.
If mary is both brave and not calm t... | Susan is not strong. | entailment | (![X]:((~wise(X)|kind(X))=>(tall(X)&wise(X))))&
(((~rich(mary)<~>~quiet(mary)))<=>(?[X]:((~creative(X)|tall(X)))))&
((?[X]:(~generous(X)))=>((kind(susan)&humble(susan))))&
(((strong(lucy)|~patient(lucy)))<=>(~rich(susan)))&
(((brave(mary)&~calm(mary)))=>(?[X]:((rich(X)&~rich(X)))))&
(![X]:((~creative(X)|strong(X))=>(~g... | ~strong(susan) | [
"p0",
"p2",
"p5",
"p8",
"p9",
"p11",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4847565152061988190581677
% SZS output start Proof for 4847565152061988190581677
1. ! [X0] : ((kind(X0) | ~wise(X0)) => (wise(X0) & tall(X0))) [input p0]
3. ? [X0] : ~generous(X0) => (humble(susan) & kind(susan)) [input p2]
6. ! [X0] : ((strong(X0) | ~creative(X0)) => (rich(X0) & ~generou... | 0 |
Everyone who is either not strong or tall is both wise and not generous and vice versa.
If lucy is not happy then john is either not happy or not patient.
If someone is both humble and not calm then someone is humble or patient.
Everyone who is happy is either not curious or brave and vice versa.
If fred is both not ol... | Fred is creative. | neutral | (![X]:((~strong(X)<~>tall(X))<=>(wise(X)&~generous(X))))&
((~happy(lucy))=>((~happy(john)<~>~patient(john))))&
((?[X]:((humble(X)&~calm(X))))=>(?[X]:((humble(X)|patient(X)))))&
(![X]:(happy(X)<=>(~curious(X)<~>brave(X))))&
(((~old(fred)&generous(fred)))=>((~funny(paul)&rich(paul))))&
(![X]:(~kind(X)<=>tall(X)))&
((rich... | creative(fred) | [] | null | 0 |
Everyone who is calm or not rich is either quiet or not curious.
Everyone who is not kind is both not wise and not curious and vice versa.
Everyone who is either old or not happy is both not wise and kind.
Everyone who is happy is curious or not curious.
Everyone who is strong or not generous is both patient and not ha... | Alice is not funny. | neutral | (![X]:((calm(X)|~rich(X))=>(quiet(X)<~>~curious(X))))&
(![X]:(~kind(X)<=>(~wise(X)&~curious(X))))&
(![X]:((old(X)<~>~happy(X))=>(~wise(X)&kind(X))))&
(![X]:(happy(X)=>(curious(X)|~curious(X))))&
(![X]:((strong(X)|~generous(X))=>(patient(X)&~happy(X))))&
(![X]:((~wise(X)&generous(X))<=>(patient(X)<~>~kind(X))))&
(![X]:(... | ~funny(alice) | [] | null | 0 |
If someone is either not quiet or patient then alice is either tall or not calm and vice versa.
Everyone who is not tall or tall is funny.
Everyone who is both funny and not wise is happy and vice versa.
If alice is both not creative and not happy then fred is not rich.
Everyone who is not quiet or not rich is not humb... | Susan is not brave. | entailment | ((?[X]:((~quiet(X)<~>patient(X))))<=>((tall(alice)<~>~calm(alice))))&
(![X]:((~tall(X)|tall(X))=>funny(X)))&
(![X]:((funny(X)&~wise(X))<=>happy(X)))&
(((~creative(alice)&~happy(alice)))=>(~rich(fred)))&
(![X]:((~quiet(X)|~rich(X))=>(~humble(X)|~wise(X))))&
(![X]:((calm(X)<~>tall(X))<=>creative(X)))&
(![X]:((tall(X)<~>~... | ~brave(susan) | [
"p1",
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5346276072079866484621694
% SZS output start Proof for 5346276072079866484621694
2. ! [X0] : ((tall(X0) | ~tall(X0)) => funny(X0)) [input p1]
3. ! [X0] : ((~wise(X0) & funny(X0)) <=> happy(X0)) [input p2]
13. ! [X0] : ((~happy(X0) <~> ~wise(X0)) <=> ~brave(X0)) [input p12]
23. brave(susan... | 0 |
Everyone who is both not kind and funny is rich.
If alice is either quiet or not old then mary is generous.
Everyone who is humble is either tall or not brave.
If mary is both kind and patient then john is brave or not wise.
If someone is wise then mary is both rich and old.
If someone is curious or not tall then lucy ... | Mary is not brave. | contradiction | (![X]:((~kind(X)&funny(X))=>rich(X)))&
(((quiet(alice)<~>~old(alice)))=>(generous(mary)))&
(![X]:(humble(X)=>(tall(X)<~>~brave(X))))&
(((kind(mary)&patient(mary)))=>((brave(john)|~wise(john))))&
((?[X]:(wise(X)))=>((rich(mary)&old(mary))))&
((?[X]:((curious(X)|~tall(X))))<=>((tall(lucy)<~>~rich(lucy))))&
((~wise(susan)... | ~brave(mary) | [
"p4",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1758250919091918536995176
% SZS output start Proof for 1758250919091918536995176
5. ? [X0] : wise(X0) => (old(mary) & rich(mary)) [input p4]
13. ! [X0] : ((~brave(X0) | quiet(X0)) => (calm(X0) & ~old(X0))) [input p12]
23. ? [X0] : wise(X0) [input p22]
25. ~brave(mary) [input hypothesis]
3... | 0 |
Everyone who is both not happy and not generous is tall and vice versa.
If john is both not brave and not quiet then susan is either old or not kind.
Everyone who is not tall is both not strong and creative.
If someone is happy or not brave then someone is strong or not wise and vice versa.
If someone is wise or not ha... | Lucy is curious. | entailment | (![X]:((~happy(X)&~generous(X))<=>tall(X)))&
(((~brave(john)&~quiet(john)))=>((old(susan)<~>~kind(susan))))&
(![X]:(~tall(X)=>(~strong(X)&creative(X))))&
((?[X]:((happy(X)|~brave(X))))<=>(?[X]:((strong(X)|~wise(X)))))&
((?[X]:((wise(X)|~happy(X))))=>(?[X]:((brave(X)&~happy(X)))))&
(((kind(mary)<~>~strong(mary)))=>((~fu... | curious(lucy) | [
"p0",
"p2",
"p7",
"p11",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8483142045448726391747193
% SZS output start Proof for 8483142045448726391747193
1. ! [X0] : ((~generous(X0) & ~happy(X0)) <=> tall(X0)) [input p0]
3. ! [X0] : (~tall(X0) => (creative(X0) & ~strong(X0))) [input p2]
8. ! [X0] : ((~creative(X0) | ~patient(X0)) <=> (humble(X0) & ~humble(X0))... | 0 |
If someone is not creative then paul is rich or not quiet and vice versa.
If someone is generous then fred is either not happy or not patient and vice versa.
Everyone who is not creative or not humble is funny and vice versa.
Everyone who is either curious or kind is brave and vice versa.
Everyone who is wise or curiou... | Lucy is not calm. | contradiction | ((?[X]:(~creative(X)))<=>((rich(paul)|~quiet(paul))))&
((?[X]:(generous(X)))<=>((~happy(fred)<~>~patient(fred))))&
(![X]:((~creative(X)|~humble(X))<=>funny(X)))&
(![X]:((curious(X)<~>kind(X))<=>brave(X)))&
(![X]:((wise(X)|curious(X))=>(humble(X)|~calm(X))))&
(((quiet(lucy)|brave(lucy)))=>(?[X]:(funny(X))))&
((?[X]:((~f... | ~calm(lucy) | [
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7227142420218073326749764
% SZS output start Proof for 7227142420218073326749764
14. ! [X0] : ((tall(X0) | funny(X0)) <=> patient(X0)) [input p13]
16. ! [X0] : ((~calm(X0) | generous(X0)) <=> (strong(X0) & funny(X0))) [input p15]
22. ~patient(lucy) & creative(lucy) [input p21]
25. ~calm(l... | 0 |
Everyone who is both not quiet and wise is creative or curious and vice versa.
Everyone who is either not quiet or patient is rich and vice versa.
If john is both not kind and not curious then mary is both calm and not brave.
If paul is either not creative or not humble then alice is curious or not curious and vice ver... | Susan is not kind. | contradiction | (![X]:((~quiet(X)&wise(X))<=>(creative(X)|curious(X))))&
(![X]:((~quiet(X)<~>patient(X))<=>rich(X)))&
(((~kind(john)&~curious(john)))=>((calm(mary)&~brave(mary))))&
(((~creative(paul)<~>~humble(paul)))<=>((curious(alice)|~curious(alice))))&
(![X]:((~humble(X)&tall(X))=>(~patient(X)&~funny(X))))&
((?[X]:((~generous(X)&~... | ~kind(susan) | [
"p0",
"p7",
"p8",
"p9",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5882269846338851118387257
% SZS output start Proof for 5882269846338851118387257
1. ! [X0] : ((wise(X0) & ~quiet(X0)) <=> (curious(X0) | creative(X0))) [input p0]
8. ! [X0] : ((creative(X0) <~> ~old(X0)) <=> (quiet(X0) <~> ~brave(X0))) [input p7]
9. ! [X0] : ((humble(X0) | brave(X0)) <=> ... | 0 |
Everyone who is not rich or humble is patient or wise.
If alice is tall or not patient then someone is both quiet and patient and vice versa.
Everyone who is not calm is both not patient and curious and vice versa.
If lucy is both not wise and wise then someone is wise or not quiet and vice versa.
Everyone who is both ... | Alice is not happy. | contradiction | (![X]:((~rich(X)|humble(X))=>(patient(X)|wise(X))))&
(((tall(alice)|~patient(alice)))<=>(?[X]:((quiet(X)&patient(X)))))&
(![X]:(~calm(X)<=>(~patient(X)&curious(X))))&
(((~wise(lucy)&wise(lucy)))<=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:((~humble(X)&~tall(X))<=>(calm(X)&~funny(X))))&
(![X]:((curious(X)<~>~quiet(X))<=>(~ol... | ~happy(alice) | [
"p0",
"p2",
"p3",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6245380625222426392797285
% SZS output start Proof for 6245380625222426392797285
1. ! [X0] : ((humble(X0) | ~rich(X0)) => (wise(X0) | patient(X0))) [input p0]
3. ! [X0] : (~calm(X0) <=> (curious(X0) & ~patient(X0))) [input p2]
4. (wise(lucy) & ~wise(lucy)) <=> ? [X0] : (~quiet(X0) | wise(... | 0 |
Everyone who is humble is not brave.
If mary is both not rich and not strong then susan is wise and vice versa.
Everyone who is either wise or not patient is not tall or not creative and vice versa.
If someone is not generous then lucy is curious and vice versa.
Everyone who is not happy is not strong.
Everyone who is ... | Alice is not brave. | entailment | (![X]:(humble(X)=>~brave(X)))&
(((~rich(mary)&~strong(mary)))<=>(wise(susan)))&
(![X]:((wise(X)<~>~patient(X))<=>(~tall(X)|~creative(X))))&
((?[X]:(~generous(X)))<=>(curious(lucy)))&
(![X]:(~happy(X)=>~strong(X)))&
(![X]:((humble(X)|~tall(X))=>quiet(X)))&
(((~curious(john)&~quiet(john)))<=>(?[X]:((~brave(X)&old(X)))))&... | ~brave(alice) | [
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3732649229513889692368191
% SZS output start Proof for 3732649229513889692368191
15. ! [X0] : (brave(X0) <=> (~wise(X0) & generous(X0))) [input p14]
21. wise(alice) [input p20]
25. brave(alice) [input hypothesis]
61. ! [X0] : ((brave(X0) | (wise(X0) | ~generous(X0))) & ((~wise(X0) & gener... | 0 |
Everyone who is not happy or not curious is both funny and not quiet and vice versa.
If someone is either calm or not humble then someone is either kind or funny and vice versa.
If paul is not humble or not quiet then someone is both curious and generous.
Everyone who is not quiet is either not funny or humble.
If john... | Lucy is not strong. | contradiction | (![X]:((~happy(X)|~curious(X))<=>(funny(X)&~quiet(X))))&
((?[X]:((calm(X)<~>~humble(X))))<=>(?[X]:((kind(X)<~>funny(X)))))&
(((~humble(paul)|~quiet(paul)))=>(?[X]:((curious(X)&generous(X)))))&
(![X]:(~quiet(X)=>(~funny(X)<~>humble(X))))&
((old(john))=>(?[X]:(funny(X))))&
(![X]:((~old(X)&old(X))<=>~wise(X)))&
(((funny(s... | ~strong(lucy) | [
"p0",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 112549201279730892878705
% SZS output start Proof for 112549201279730892878705
1. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> (~quiet(X0) & funny(X0))) [input p0]
13. ! [X0] : ((happy(X0) & ~generous(X0)) <=> (~kind(X0) & rich(X0))) [input p12]
16. ! [X0] : ((funny(X0) | generous(X0)) <=> (... | 0 |
Everyone who is not calm is not kind or not funny and vice versa. If someone is either not funny or strong then someone is either rich or quiet and vice versa. If alice is both quiet and not funny then someone is either not tall or brave. Everyone who is either not generous or strong is both patient and generous and vi... | John is not creative. | neutral | (![X]:(~calm(X)<=>(~kind(X)|~funny(X))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((rich(X)<~>quiet(X)))))&
(((quiet(alice)&~funny(alice)))=>(?[X]:((~tall(X)<~>brave(X)))))&
(![X]:((~generous(X)<~>strong(X))<=>(patient(X)&generous(X))))&
(![X]:((wise(X)&happy(X))<=>~calm(X)))&
((?[X]:((~generous(X)<~>creative(X))))=>... | ~creative(john) | [] | null | 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... | Alice is not creative. | neutral | (![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... | ~creative(alice) | [] | null | 0 |
Everyone who is patient or not patient is calm or tall.
Everyone who is both not rich and not humble is both generous and wise and vice versa.
Everyone who is not quiet or not old is calm and vice versa.
If john is not wise or curious then someone is not patient.
If paul is strong or old then paul is not tall and vice ... | Paul is brave. | contradiction | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(X))))&
(![X]:((~rich(X)&~humble(X))<=>(generous(X)&wise(X))))&
(![X]:((~quiet(X)|~old(X))<=>calm(X)))&
(((~wise(john)|curious(john)))=>(?[X]:(~patient(X))))&
(((strong(paul)|old(paul)))<=>(~tall(paul)))&
((?[X]:((wise(X)|kind(X))))<=>(?[X]:((quiet(X)&calm(X)))))&
(((happy(... | brave(paul) | [
"p0",
"p4",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7816841809406352948978479
% SZS output start Proof for 7816841809406352948978479
1. ! [X0] : ((~patient(X0) | patient(X0)) => (tall(X0) | calm(X0))) [input p0]
5. (old(paul) | strong(paul)) <=> ~tall(paul) [input p4]
9. ! [X0] : ((~humble(X0) | ~old(X0)) <=> funny(X0)) [input p8]
10. ? [X... | 0 |
Everyone who is strong or not wise is either old or creative.
Everyone who is not brave or curious is both strong and not kind.
Everyone who is humble or not generous is both not curious and happy.
If someone is not rich or patient then mary is brave.
Everyone who is either quiet or wise is not quiet and vice versa.
If... | Alice is not tall. | contradiction | (![X]:((strong(X)|~wise(X))=>(old(X)<~>creative(X))))&
(![X]:((~brave(X)|curious(X))=>(strong(X)&~kind(X))))&
(![X]:((humble(X)|~generous(X))=>(~curious(X)&happy(X))))&
((?[X]:((~rich(X)|patient(X))))=>(brave(mary)))&
(![X]:((quiet(X)<~>wise(X))<=>~quiet(X)))&
(((~curious(fred)&~calm(fred)))=>(?[X]:((~humble(X)<~>~tall... | ~tall(alice) | [
"p0",
"p1",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 668560748751771011610109
% SZS output start Proof for 668560748751771011610109
1. ! [X0] : ((~wise(X0) | strong(X0)) => (old(X0) <~> creative(X0))) [input p0]
2. ! [X0] : ((curious(X0) | ~brave(X0)) => (~kind(X0) & strong(X0))) [input p1]
10. (creative(paul) & ~brave(paul)) <=> old(susan)... | 0 |
Everyone who is both brave and not quiet is not wise or not patient and vice versa.
If susan is not tall or humble then john is both rich and not brave.
Everyone who is both not creative and funny is either not strong or strong and vice versa.
Everyone who is not curious is rich.
If john is tall or patient then someone... | Susan is funny. | entailment | (![X]:((brave(X)&~quiet(X))<=>(~wise(X)|~patient(X))))&
(((~tall(susan)|humble(susan)))=>((rich(john)&~brave(john))))&
(![X]:((~creative(X)&funny(X))<=>(~strong(X)<~>strong(X))))&
(![X]:(~curious(X)=>rich(X)))&
(((tall(john)|patient(john)))=>(?[X]:((patient(X)|~wise(X)))))&
((?[X]:(~curious(X)))=>((humble(susan)&genero... | funny(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1382812297287227215612470
% SZS output start Proof for 1382812297287227215612470
3. ! [X0] : ((funny(X0) & ~creative(X0)) <=> (~strong(X0) <~> strong(X0))) [input p2]
24. ~funny(susan) [input hypothesis]
42. ! [X0] : (((funny(X0) & ~creative(X0)) | ((~strong(X0) | ~strong(X0)) & (strong(X... | 0 |
Everyone who is both not strong and humble is both not humble and not strong and vice versa. Everyone who is creative or patient is both patient and happy. Everyone who is not happy is not creative or not kind and vice versa. If alice is not tall or not creative then someone is both not humble and funny. Everyone who i... | John is patient. | entailment | (![X]:((~strong(X)&humble(X))<=>(~humble(X)&~strong(X))))&
(![X]:((creative(X)|patient(X))=>(patient(X)&happy(X))))&
(![X]:(~happy(X)<=>(~creative(X)|~kind(X))))&
(((~tall(alice)|~creative(alice)))=>(?[X]:((~humble(X)&funny(X)))))&
(![X]:((creative(X)|strong(X))=>(happy(X)&~quiet(X))))&
(((~generous(paul)&tall(paul)))=... | patient(john) | [
"p0",
"p1",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 182112396049210344091998
% SZS output start Proof for 182112396049210344091998
1. ! [X0] : ((humble(X0) & ~strong(X0)) <=> (~strong(X0) & ~humble(X0))) [input p0]
2. ! [X0] : ((patient(X0) | creative(X0)) => (happy(X0) & patient(X0))) [input p1]
3. ! [X0] : (~happy(X0) <=> (~kind(X0) | ~c... | 0 |
If paul is not quiet or not patient then mary is both not calm and not curious and vice versa.
If someone is strong then paul is either not quiet or curious and vice versa.
Everyone who is not humble or patient is both kind and funny and vice versa.
Everyone who is not kind or funny is both not generous and not rich an... | Alice is happy. | neutral | (((~quiet(paul)|~patient(paul)))<=>((~calm(mary)&~curious(mary))))&
((?[X]:(strong(X)))<=>((~quiet(paul)<~>curious(paul))))&
(![X]:((~humble(X)|patient(X))<=>(kind(X)&funny(X))))&
(![X]:((~kind(X)|funny(X))<=>(~generous(X)&~rich(X))))&
(![X]:((happy(X)&~strong(X))<=>~generous(X)))&
((?[X]:((rich(X)&funny(X))))=>(?[X]:(... | happy(alice) | [] | null | 0 |
If paul is not kind or wise then paul is either wise or strong.
Everyone who is either quiet or humble is not brave or humble and vice versa.
If someone is wise then someone is both not kind and not tall and vice versa.
Everyone who is creative or not generous is both not happy and not strong.
Everyone who is not rich ... | Alice is not generous. | neutral | (((~kind(paul)|wise(paul)))=>((wise(paul)<~>strong(paul))))&
(![X]:((quiet(X)<~>humble(X))<=>(~brave(X)|humble(X))))&
((?[X]:(wise(X)))<=>(?[X]:((~kind(X)&~tall(X)))))&
(![X]:((creative(X)|~generous(X))=>(~happy(X)&~strong(X))))&
(![X]:((~rich(X)|calm(X))<=>(funny(X)<~>humble(X))))&
(![X]:((~calm(X)&~funny(X))=>~curiou... | ~generous(alice) | [] | null | 0 |
If john is both old and not wise then mary is both rich and not calm and vice versa.
Everyone who is either not old or not happy is not brave and vice versa.
Everyone who is calm or strong is both quiet and curious and vice versa.
Everyone who is both not strong and not kind is not happy or quiet.
Everyone who is both ... | Mary is funny. | entailment | (((old(john)&~wise(john)))<=>((rich(mary)&~calm(mary))))&
(![X]:((~old(X)<~>~happy(X))<=>~brave(X)))&
(![X]:((calm(X)|strong(X))<=>(quiet(X)&curious(X))))&
(![X]:((~strong(X)&~kind(X))=>(~happy(X)|quiet(X))))&
(![X]:((quiet(X)&~tall(X))=>(generous(X)|calm(X))))&
(![X]:(calm(X)<=>(~funny(X)<~>~old(X))))&
(![X]:((patient... | funny(mary) | [
"p2",
"p5",
"p7",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6833206274885923170119103
% SZS output start Proof for 6833206274885923170119103
3. ! [X0] : ((strong(X0) | calm(X0)) <=> (curious(X0) & quiet(X0))) [input p2]
6. ! [X0] : (calm(X0) <=> (~funny(X0) <~> ~old(X0))) [input p5]
8. ! [X0] : ((~quiet(X0) & calm(X0)) <=> (~strong(X0) & ~brave(X0... | 0 |
Everyone who is either creative or brave is either strong or generous and vice versa.
Everyone who is wise is not humble and vice versa.
If john is humble or not calm then someone is both not strong and brave and vice versa.
Everyone who is tall or strong is both curious and not patient.
If someone is calm or not wise ... | Lucy is quiet. | entailment | (![X]:((creative(X)<~>brave(X))<=>(strong(X)<~>generous(X))))&
(![X]:(wise(X)<=>~humble(X)))&
(((humble(john)|~calm(john)))<=>(?[X]:((~strong(X)&brave(X)))))&
(![X]:((tall(X)|strong(X))=>(curious(X)&~patient(X))))&
((?[X]:((calm(X)|~wise(X))))<=>((~humble(alice)&kind(alice))))&
((funny(paul))<=>(old(alice)))&
(![X]:(~p... | quiet(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5822137537397109832677749
% SZS output start Proof for 5822137537397109832677749
20. quiet(lucy) & ~happy(lucy) [input p19]
24. ~quiet(lucy) [input hypothesis]
142. quiet(lucy) [cnf transformation 20]
147. ~quiet(lucy) [cnf transformation 24]
266. $false [subsumption resolution 147,142]
%... | 0 |
If someone is rich then lucy is either not generous or kind.
If someone is tall then fred is patient and vice versa.
If someone is both humble and not patient then someone is both not brave and kind.
If someone is either brave or creative then mary is not brave or not patient and vice versa.
If someone is both not curi... | Alice is brave. | contradiction | ((?[X]:(rich(X)))=>((~generous(lucy)<~>kind(lucy))))&
((?[X]:(tall(X)))<=>(patient(fred)))&
((?[X]:((humble(X)&~patient(X))))=>(?[X]:((~brave(X)&kind(X)))))&
((?[X]:((brave(X)<~>creative(X))))<=>((~brave(mary)|~patient(mary))))&
((?[X]:((~curious(X)&~quiet(X))))<=>(?[X]:((calm(X)|~brave(X)))))&
(![X]:((~patient(X)<~>~g... | brave(alice) | [
"p6",
"p9",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6076234812491248417699939
% SZS output start Proof for 6076234812491248417699939
7. ! [X0] : ((funny(X0) | creative(X0)) => (humble(X0) <~> creative(X0))) [input p6]
10. ? [X0] : (quiet(X0) & generous(X0)) <=> ? [X0] : ~wise(X0) [input p9]
14. ! [X0] : ((patient(X0) | brave(X0)) => (~wise... | 0 |
If someone is not brave or curious then alice is tall or happy and vice versa.
Everyone who is both not happy and happy is not curious.
Everyone who is humble is both not old and not tall and vice versa.
Everyone who is not brave or humble is both not funny and brave and vice versa.
If someone is patient then paul is b... | Alice is not patient. | entailment | ((?[X]:((~brave(X)|curious(X))))<=>((tall(alice)|happy(alice))))&
(![X]:((~happy(X)&happy(X))=>~curious(X)))&
(![X]:(humble(X)<=>(~old(X)&~tall(X))))&
(![X]:((~brave(X)|humble(X))<=>(~funny(X)&brave(X))))&
((?[X]:(patient(X)))<=>((~rich(paul)&creative(paul))))&
(![X]:((~old(X)&kind(X))=>(quiet(X)&~calm(X))))&
(![X]:((~... | ~patient(alice) | [
"p2",
"p4",
"p6",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8802670420972279231860600
% SZS output start Proof for 8802670420972279231860600
3. ! [X0] : (humble(X0) <=> (~tall(X0) & ~old(X0))) [input p2]
5. ? [X0] : patient(X0) <=> (creative(paul) & ~rich(paul)) [input p4]
7. ! [X0] : ((wise(X0) | ~funny(X0)) <=> (~rich(X0) & ~calm(X0))) [input p6... | 0 |
Everyone who is happy is both not strong and not happy.
Everyone who is both brave and patient is not curious.
Everyone who is both brave and funny is strong.
Everyone who is not patient or quiet is happy or patient.
If someone is either not strong or brave then fred is patient or kind.
If someone is not rich then some... | Paul is happy. | contradiction | (![X]:(happy(X)=>(~strong(X)&~happy(X))))&
(![X]:((brave(X)&patient(X))=>~curious(X)))&
(![X]:((brave(X)&funny(X))=>strong(X)))&
(![X]:((~patient(X)|quiet(X))=>(happy(X)|patient(X))))&
((?[X]:((~strong(X)<~>brave(X))))=>((patient(fred)|kind(fred))))&
((?[X]:(~rich(X)))<=>(?[X]:((curious(X)<~>patient(X)))))&
((?[X]:((~k... | happy(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7897187743941880370867282
% SZS output start Proof for 7897187743941880370867282
1. ! [X0] : (happy(X0) => (~happy(X0) & ~strong(X0))) [input p0]
24. happy(paul) [input hypothesis]
29. ! [X0] : ((~happy(X0) & ~strong(X0)) | ~happy(X0)) [ennf transformation 1]
81. ~happy(X0) | ~happy(X0) [... | 0 |
If someone is not calm then paul is quiet or not brave.
Everyone who is both not humble and curious is both humble and not calm.
Everyone who is not wise is either not happy or patient.
If someone is generous then susan is both not calm and old.
Everyone who is either old or strong is generous and vice versa.
Everyone ... | Susan is quiet. | contradiction | ((?[X]:(~calm(X)))=>((quiet(paul)|~brave(paul))))&
(![X]:((~humble(X)&curious(X))=>(humble(X)&~calm(X))))&
(![X]:(~wise(X)=>(~happy(X)<~>patient(X))))&
((?[X]:(generous(X)))=>((~calm(susan)&old(susan))))&
(![X]:((old(X)<~>strong(X))<=>generous(X)))&
(![X]:((~wise(X)<~>~quiet(X))=>(kind(X)|wise(X))))&
(![X]:(humble(X)<=... | quiet(susan) | [
"p3",
"p4",
"p6",
"p7",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2324934715569285333892377
% SZS output start Proof for 2324934715569285333892377
4. ? [X0] : generous(X0) => (old(susan) & ~calm(susan)) [input p3]
5. ! [X0] : ((old(X0) <~> strong(X0)) <=> generous(X0)) [input p4]
7. ! [X0] : (humble(X0) <=> ~tall(X0)) [input p6]
8. ! [X0] : ((humble(X0)... | 0 |
Everyone who is either curious or not generous is both not patient and brave and vice versa. Everyone who is either not calm or rich is both quiet and not patient. Everyone who is both not curious and funny is not humble and vice versa. If someone is either not funny or not brave then paul is funny. If someone is curio... | Susan is brave. | neutral | (![X]:((curious(X)<~>~generous(X))<=>(~patient(X)&brave(X))))&
(![X]:((~calm(X)<~>rich(X))=>(quiet(X)&~patient(X))))&
(![X]:((~curious(X)&funny(X))<=>~humble(X)))&
((?[X]:((~funny(X)<~>~brave(X))))=>(funny(paul)))&
((?[X]:((curious(X)|~tall(X))))=>(?[X]:((happy(X)|~creative(X)))))&
(((~creative(paul)<~>quiet(paul)))=>(... | brave(susan) | [] | null | 0 |
Everyone who is both wise and kind is both curious and humble and vice versa.
Everyone who is not funny is not calm and vice versa.
If paul is either not brave or kind then paul is both not old and not funny.
Everyone who is not rich is tall or not wise.
If someone is funny or brave then someone is strong.
Everyone who... | John is not brave. | neutral | (![X]:((wise(X)&kind(X))<=>(curious(X)&humble(X))))&
(![X]:(~funny(X)<=>~calm(X)))&
(((~brave(paul)<~>kind(paul)))=>((~old(paul)&~funny(paul))))&
(![X]:(~rich(X)=>(tall(X)|~wise(X))))&
((?[X]:((funny(X)|brave(X))))=>(?[X]:(strong(X))))&
(![X]:((~quiet(X)|~humble(X))=>(~patient(X)&~strong(X))))&
(![X]:(~wise(X)=>(wise(X... | ~brave(john) | [] | null | 0 |
If lucy is not strong or creative then lucy is not wise or not happy and vice versa.
If mary is calm then someone is both not patient and not calm and vice versa.
If someone is not old then someone is not calm or kind.
Everyone who is calm or generous is quiet or curious and vice versa.
Everyone who is either wise or n... | Lucy is not old. | neutral | (((~strong(lucy)|creative(lucy)))<=>((~wise(lucy)|~happy(lucy))))&
((calm(mary))<=>(?[X]:((~patient(X)&~calm(X)))))&
((?[X]:(~old(X)))=>(?[X]:((~calm(X)|kind(X)))))&
(![X]:((calm(X)|generous(X))<=>(quiet(X)|curious(X))))&
(![X]:((wise(X)<~>~patient(X))=>rich(X)))&
(![X]:((~rich(X)&patient(X))=>(~kind(X)<~>strong(X))))&... | ~old(lucy) | [] | null | 0 |
Everyone who is both generous and not patient is both not strong and strong.
If someone is rich then paul is not calm.
Everyone who is both not quiet and not tall is both rich and not curious.
If someone is either rich or old then alice is tall and vice versa.
If someone is either not old or rich then paul is both brav... | Alice is tall. | entailment | (![X]:((generous(X)&~patient(X))=>(~strong(X)&strong(X))))&
((?[X]:(rich(X)))=>(~calm(paul)))&
(![X]:((~quiet(X)&~tall(X))=>(rich(X)&~curious(X))))&
((?[X]:((rich(X)<~>old(X))))<=>(tall(alice)))&
((?[X]:((~old(X)<~>rich(X))))=>((brave(paul)&wise(paul))))&
(![X]:(brave(X)<=>~calm(X)))&
(![X]:((old(X)<~>strong(X))=>gener... | tall(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 738237796566775833033145
% SZS output start Proof for 738237796566775833033145
13. ! [X0] : ((~patient(X0) | ~tall(X0)) => tall(X0)) [input p12]
25. ~tall(alice) [input hypothesis]
39. ! [X0] : (tall(X0) | (patient(X0) & tall(X0))) [ennf transformation 13]
107. tall(X0) | tall(X0) [cnf tr... | 0 |
Everyone who is not quiet or not brave is both rich and not funny.
Everyone who is either tall or creative is not patient.
Everyone who is brave is calm or strong.
Everyone who is both not old and not kind is either not creative or calm and vice versa.
If susan is strong then someone is both brave and not kind and vice... | Paul is tall. | entailment | (![X]:((~quiet(X)|~brave(X))=>(rich(X)&~funny(X))))&
(![X]:((tall(X)<~>creative(X))=>~patient(X)))&
(![X]:(brave(X)=>(calm(X)|strong(X))))&
(![X]:((~old(X)&~kind(X))<=>(~creative(X)<~>calm(X))))&
((strong(susan))<=>(?[X]:((brave(X)&~kind(X)))))&
((?[X]:((quiet(X)&generous(X))))<=>((patient(alice)&strong(alice))))&
((?[... | tall(paul) | [
"p0",
"p1",
"p3",
"p6",
"p8",
"p11",
"p12",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1284672133014742357721237
% SZS output start Proof for 1284672133014742357721237
1. ! [X0] : ((~brave(X0) | ~quiet(X0)) => (~funny(X0) & rich(X0))) [input p0]
2. ! [X0] : ((tall(X0) <~> creative(X0)) => ~patient(X0)) [input p1]
4. ! [X0] : ((~kind(X0) & ~old(X0)) <=> (~creative(X0) <~> ca... | 0 |
If susan is not calm then susan is both funny and not quiet.
If paul is brave then mary is happy.
Everyone who is strong is kind and vice versa.
If someone is both calm and not kind then john is both not happy and not tall.
If fred is old then someone is either not patient or not curious.
Everyone who is both not gener... | Susan is calm. | entailment | ((~calm(susan))=>((funny(susan)&~quiet(susan))))&
((brave(paul))=>(happy(mary)))&
(![X]:(strong(X)<=>kind(X)))&
((?[X]:((calm(X)&~kind(X))))=>((~happy(john)&~tall(john))))&
((old(fred))=>(?[X]:((~patient(X)<~>~curious(X)))))&
(![X]:((~generous(X)&~calm(X))=>(funny(X)&~old(X))))&
((?[X]:((~patient(X)<~>~brave(X))))<=>(~... | calm(susan) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2670636899629516991358682
% SZS output start Proof for 2670636899629516991358682
1. ~calm(susan) => (~quiet(susan) & funny(susan)) [input p0]
12. ! [X0] : (quiet(X0) <=> (patient(X0) | ~patient(X0))) [input p11]
24. ~calm(susan) [input hypothesis]
26. ! [X0] : ((patient(X0) | ~patient(X0)... | 0 |
If lucy is not strong or not humble then someone is patient or happy.
Everyone who is both brave and creative is not humble and vice versa.
Everyone who is not funny is funny or calm and vice versa.
Everyone who is not funny is creative or rich and vice versa.
If someone is both curious and wise then mary is either hap... | Alice is not curious. | neutral | (((~strong(lucy)|~humble(lucy)))=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((brave(X)&creative(X))<=>~humble(X)))&
(![X]:(~funny(X)<=>(funny(X)|calm(X))))&
(![X]:(~funny(X)<=>(creative(X)|rich(X))))&
((?[X]:((curious(X)&wise(X))))<=>((happy(mary)<~>strong(mary))))&
(((calm(paul)|wise(paul)))<=>(?[X]:(~funny(X))))&
(![X]:... | ~curious(alice) | [] | null | 0 |
If alice is either not quiet or funny then someone is either old or funny.
If alice is both old and brave then paul is both patient and not quiet.
If someone is strong then mary is wise or not humble and vice versa.
If someone is either curious or kind then mary is both not strong and not funny.
Everyone who is not bra... | Alice is not patient. | neutral | (((~quiet(alice)<~>funny(alice)))=>(?[X]:((old(X)<~>funny(X)))))&
(((old(alice)&brave(alice)))=>((patient(paul)&~quiet(paul))))&
((?[X]:(strong(X)))<=>((wise(mary)|~humble(mary))))&
((?[X]:((curious(X)<~>kind(X))))=>((~strong(mary)&~funny(mary))))&
(![X]:(~brave(X)<=>(humble(X)&~brave(X))))&
(![X]:(rich(X)<=>(~humble(X... | ~patient(alice) | [] | null | 0 |
Everyone who is both brave and old is brave or generous and vice versa.
Everyone who is brave is wise or quiet.
If someone is either not rich or patient then paul is not old.
Everyone who is not wise or quiet is brave and vice versa.
Everyone who is both not strong and not calm is both tall and calm.
If lucy is not bra... | Alice is not old. | contradiction | (![X]:((brave(X)&old(X))<=>(brave(X)|generous(X))))&
(![X]:(brave(X)=>(wise(X)|quiet(X))))&
((?[X]:((~rich(X)<~>patient(X))))=>(~old(paul)))&
(![X]:((~wise(X)|quiet(X))<=>brave(X)))&
(![X]:((~strong(X)&~calm(X))=>(tall(X)&calm(X))))&
((~brave(lucy))=>(?[X]:((patient(X)<~>~creative(X)))))&
((?[X]:((~old(X)&strong(X))))<... | ~old(alice) | [
"p0",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 459922289730241225367687
% SZS output start Proof for 459922289730241225367687
1. ! [X0] : ((old(X0) & brave(X0)) <=> (generous(X0) | brave(X0))) [input p0]
15. ? [X0] : (~brave(X0) | ~quiet(X0)) <=> ~quiet(paul) [input p14]
19. quiet(paul) [input p18]
25. ~old(alice) [input hypothesis]
4... | 0 |
Everyone who is generous or kind is not old.
Everyone who is patient or not brave is humble.
Everyone who is humble or not funny is either wise or not kind.
If paul is either old or wise then someone is both wise and not strong.
If susan is both funny and brave then paul is not happy or calm and vice versa.
Everyone wh... | Paul is not funny. | contradiction | (![X]:((generous(X)|kind(X))=>~old(X)))&
(![X]:((patient(X)|~brave(X))=>humble(X)))&
(![X]:((humble(X)|~funny(X))=>(wise(X)<~>~kind(X))))&
(((old(paul)<~>wise(paul)))=>(?[X]:((wise(X)&~strong(X)))))&
(((funny(susan)&brave(susan)))<=>((~happy(paul)|calm(paul))))&
(![X]:((kind(X)|brave(X))=>(~brave(X)<~>~quiet(X))))&
(((... | ~funny(paul) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p8",
"p9",
"p10",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9076466909254008794666854
% SZS output start Proof for 9076466909254008794666854
1. ! [X0] : ((kind(X0) | generous(X0)) => ~old(X0)) [input p0]
2. ! [X0] : ((~brave(X0) | patient(X0)) => humble(X0)) [input p1]
3. ! [X0] : ((~funny(X0) | humble(X0)) => (wise(X0) <~> ~kind(X0))) [input p2]
... | 0 |
If mary is humble or generous then mary is quiet or curious and vice versa.
If john is tall or rich then fred is not creative or old.
If someone is not curious then lucy is funny or patient and vice versa.
If alice is both not kind and not happy then someone is calm or not curious and vice versa.
Everyone who is both o... | Lucy is generous. | neutral | (((humble(mary)|generous(mary)))<=>((quiet(mary)|curious(mary))))&
(((tall(john)|rich(john)))=>((~creative(fred)|old(fred))))&
((?[X]:(~curious(X)))<=>((funny(lucy)|patient(lucy))))&
(((~kind(alice)&~happy(alice)))<=>(?[X]:((calm(X)|~curious(X)))))&
(![X]:((old(X)&~wise(X))<=>(rich(X)<~>~quiet(X))))&
(![X]:(funny(X)=>c... | generous(lucy) | [] | null | 0 |
Everyone who is both not creative and not happy is old or kind and vice versa. Everyone who is rich or tall is either not curious or kind and vice versa. Everyone who is either calm or patient is either not calm or humble. Everyone who is funny or not happy is not creative and vice versa. Everyone who is happy or not c... | Lucy is funny. | entailment | (![X]:((~creative(X)&~happy(X))<=>(old(X)|kind(X))))&
(![X]:((rich(X)|tall(X))<=>(~curious(X)<~>kind(X))))&
(![X]:((calm(X)<~>patient(X))=>(~calm(X)<~>humble(X))))&
(![X]:((funny(X)|~happy(X))<=>~creative(X)))&
(![X]:((happy(X)|~creative(X))=>(patient(X)<~>~funny(X))))&
(![X]:(patient(X)<=>(curious(X)|~quiet(X))))&
(((... | funny(lucy) | [
"p0",
"p3",
"p4",
"p5",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3396410332810090335513630
% SZS output start Proof for 3396410332810090335513630
1. ! [X0] : ((~happy(X0) & ~creative(X0)) <=> (kind(X0) | old(X0))) [input p0]
4. ! [X0] : ((~happy(X0) | funny(X0)) <=> ~creative(X0)) [input p3]
5. ! [X0] : ((~creative(X0) | happy(X0)) => (patient(X0) <~> ... | 0 |
Everyone who is generous is not rich and vice versa. If someone is either not kind or strong then paul is not generous. If susan is rich or not calm then fred is either calm or wise. Everyone who is not funny or rich is either not rich or not funny. Everyone who is either strong or not funny is both quiet and happy. If... | Paul is happy. | neutral | (![X]:(generous(X)<=>~rich(X)))&
((?[X]:((~kind(X)<~>strong(X))))=>(~generous(paul)))&
(((rich(susan)|~calm(susan)))=>((calm(fred)<~>wise(fred))))&
(![X]:((~funny(X)|rich(X))=>(~rich(X)<~>~funny(X))))&
(![X]:((strong(X)<~>~funny(X))=>(quiet(X)&happy(X))))&
(((curious(susan)&kind(susan)))=>((curious(fred)<~>~patient(fre... | happy(paul) | [] | null | 0 |
If mary is strong then fred is both not strong and not curious. Everyone who is either brave or strong is either not strong or not rich. Everyone who is tall is both not rich and happy. Everyone who is not funny or strong is both creative and not brave. Everyone who is not brave or not quiet is both not humble and not ... | Susan is patient. | neutral | ((strong(mary))=>((~strong(fred)&~curious(fred))))&
(![X]:((brave(X)<~>strong(X))=>(~strong(X)<~>~rich(X))))&
(![X]:(tall(X)=>(~rich(X)&happy(X))))&
(![X]:((~funny(X)|strong(X))=>(creative(X)&~brave(X))))&
(![X]:((~brave(X)|~quiet(X))<=>(~humble(X)&~calm(X))))&
((?[X]:((humble(X)<~>~kind(X))))<=>(?[X]:((~humble(X)&rich... | patient(susan) | [] | null | 0 |
If someone is old or generous then someone is not funny or funny.
Everyone who is quiet is not brave or calm.
If mary is either wise or not calm then someone is either humble or creative.
Everyone who is not brave or generous is both not humble and not curious.
Everyone who is both curious and not patient is not wise o... | Fred is creative. | neutral | ((?[X]:((old(X)|generous(X))))=>(?[X]:((~funny(X)|funny(X)))))&
(![X]:(quiet(X)=>(~brave(X)|calm(X))))&
(((wise(mary)<~>~calm(mary)))=>(?[X]:((humble(X)<~>creative(X)))))&
(![X]:((~brave(X)|generous(X))=>(~humble(X)&~curious(X))))&
(![X]:((curious(X)&~patient(X))<=>(~wise(X)|~brave(X))))&
(![X]:((~tall(X)<~>strong(X))=... | creative(fred) | [] | null | 0 |
If john is both generous and rich then john is either not curious or not old.
If alice is not humble or not strong then alice is either not brave or not strong and vice versa.
Everyone who is both not happy and happy is either humble or strong and vice versa.
Everyone who is happy is not quiet or wise and vice versa.
I... | Alice is strong. | contradiction | (((generous(john)&rich(john)))=>((~curious(john)<~>~old(john))))&
(((~humble(alice)|~strong(alice)))<=>((~brave(alice)<~>~strong(alice))))&
(![X]:((~happy(X)&happy(X))<=>(humble(X)<~>strong(X))))&
(![X]:(happy(X)<=>(~quiet(X)|wise(X))))&
((?[X]:((~generous(X)|quiet(X))))<=>((~patient(susan)<~>~happy(susan))))&
(((~humb... | strong(alice) | [
"p5",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 893168985864160369922187
% SZS output start Proof for 893168985864160369922187
6. (happy(lucy) & ~humble(lucy)) <=> ? [X0] : (~tall(X0) | ~patient(X0)) [input p5]
8. ! [X0] : ((~generous(X0) | strong(X0)) <=> (~tall(X0) | ~quiet(X0))) [input p7]
11. ? [X0] : (quiet(X0) & happy(X0)) => ? [... | 0 |
If susan is creative then fred is kind.
Everyone who is not happy is creative or quiet and vice versa.
If mary is not creative or old then mary is both not tall and not old.
Everyone who is not calm is tall or kind.
Everyone who is curious or tall is both generous and creative.
If alice is either not happy or creative ... | Mary is old. | contradiction | ((creative(susan))=>(kind(fred)))&
(![X]:(~happy(X)<=>(creative(X)|quiet(X))))&
(((~creative(mary)|old(mary)))=>((~tall(mary)&~old(mary))))&
(![X]:(~calm(X)=>(tall(X)|kind(X))))&
(![X]:((curious(X)|tall(X))=>(generous(X)&creative(X))))&
(((~happy(alice)<~>creative(alice)))=>(?[X]:((~kind(X)<~>rich(X)))))&
(![X]:(brave(... | old(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 638717831222389806466727
% SZS output start Proof for 638717831222389806466727
3. (old(mary) | ~creative(mary)) => (~old(mary) & ~tall(mary)) [input p2]
24. old(mary) [input hypothesis]
27. (~old(mary) & ~tall(mary)) | (~old(mary) & creative(mary)) [ennf transformation 3]
76. ~old(mary) |... | 0 |
If someone is wise or not old then susan is not calm and vice versa.
If someone is not humble then someone is both not wise and not happy and vice versa.
If someone is tall then someone is not rich or curious and vice versa.
Everyone who is both wise and not brave is both not strong and happy.
Everyone who is either no... | Lucy is rich. | entailment | ((?[X]:((wise(X)|~old(X))))<=>(~calm(susan)))&
((?[X]:(~humble(X)))<=>(?[X]:((~wise(X)&~happy(X)))))&
((?[X]:(tall(X)))<=>(?[X]:((~rich(X)|curious(X)))))&
(![X]:((wise(X)&~brave(X))=>(~strong(X)&happy(X))))&
(![X]:((~kind(X)<~>strong(X))=>(rich(X)&old(X))))&
((?[X]:((~rich(X)&~patient(X))))<=>((~kind(mary)<~>~old(mary)... | rich(lucy) | [
"p1",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8292794837372718659877815
% SZS output start Proof for 8292794837372718659877815
2. ? [X0] : ~humble(X0) <=> ? [X0] : (~happy(X0) & ~wise(X0)) [input p1]
10. ! [X0] : (patient(X0) => (wise(X0) & ~creative(X0))) [input p9]
12. ! [X0] : (rich(X0) <=> (humble(X0) | quiet(X0))) [input p11]
15... | 0 |
If someone is not brave or funny then susan is either not tall or quiet. If someone is not old or not funny then john is happy or old and vice versa. Everyone who is either curious or not kind is old or not curious. Everyone who is both not strong and not generous is both not happy and funny and vice versa. Everyone wh... | Susan is happy. | entailment | ((?[X]:((~brave(X)|funny(X))))=>((~tall(susan)<~>quiet(susan))))&
((?[X]:((~old(X)|~funny(X))))<=>((happy(john)|old(john))))&
(![X]:((curious(X)<~>~kind(X))=>(old(X)|~curious(X))))&
(![X]:((~strong(X)&~generous(X))<=>(~happy(X)&funny(X))))&
(![X]:(happy(X)<=>~creative(X)))&
((?[X]:((patient(X)<~>~patient(X))))=>((brave... | happy(susan) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6653825786338239757958830
% SZS output start Proof for 6653825786338239757958830
5. ! [X0] : (happy(X0) <=> ~creative(X0)) [input p4]
10. ! [X0] : ((~old(X0) & ~creative(X0)) <=> (wise(X0) | ~happy(X0))) [input p9]
22. ~happy(susan) [input hypothesis]
45. ! [X0] : ((happy(X0) | creative(X... | 0 |
Everyone who is either patient or not humble is not kind or not creative and vice versa.
Everyone who is either not rich or not generous is both not kind and not brave.
If john is old or calm then someone is not strong or curious and vice versa.
If someone is strong or wise then fred is not tall or not patient and vice... | John is patient. | contradiction | (![X]:((patient(X)<~>~humble(X))<=>(~kind(X)|~creative(X))))&
(![X]:((~rich(X)<~>~generous(X))=>(~kind(X)&~brave(X))))&
(((old(john)|calm(john)))<=>(?[X]:((~strong(X)|curious(X)))))&
((?[X]:((strong(X)|wise(X))))<=>((~tall(fred)|~patient(fred))))&
((?[X]:((funny(X)|quiet(X))))<=>(~calm(mary)))&
(![X]:((kind(X)<~>~wise(... | patient(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8062609828489364220538584
% SZS output start Proof for 8062609828489364220538584
16. ! [X0] : (patient(X0) => ~patient(X0)) [input p15]
24. patient(john) [input hypothesis]
32. ! [X0] : (~patient(X0) | ~patient(X0)) [ennf transformation 16]
136. ~patient(X0) | ~patient(X0) [cnf transforma... | 0 |
Everyone who is tall is rich and vice versa.
Everyone who is not brave is strong.
Everyone who is not patient is not creative or not wise.
If someone is creative or tall then someone is curious or brave.
Everyone who is generous or kind is not brave and vice versa.
Everyone who is both not brave and humble is not wise ... | Lucy is not quiet. | neutral | (![X]:(tall(X)<=>rich(X)))&
(![X]:(~brave(X)=>strong(X)))&
(![X]:(~patient(X)=>(~creative(X)|~wise(X))))&
((?[X]:((creative(X)|tall(X))))=>(?[X]:((curious(X)|brave(X)))))&
(![X]:((generous(X)|kind(X))<=>~brave(X)))&
(![X]:((~brave(X)&humble(X))<=>~wise(X)))&
((?[X]:((rich(X)&quiet(X))))=>((strong(susan)<~>~strong(susan... | ~quiet(lucy) | [] | null | 0 |
If someone is not tall then someone is funny.
Everyone who is not calm is both rich and old.
Everyone who is not old is not happy.
Everyone who is strong or not curious is old.
If someone is both wise and not generous then lucy is not patient or not quiet and vice versa.
Everyone who is not calm or not humble is both n... | Lucy is not old. | contradiction | ((?[X]:(~tall(X)))=>(?[X]:(funny(X))))&
(![X]:(~calm(X)=>(rich(X)&old(X))))&
(![X]:(~old(X)=>~happy(X)))&
(![X]:((strong(X)|~curious(X))=>old(X)))&
((?[X]:((wise(X)&~generous(X))))<=>((~patient(lucy)|~quiet(lucy))))&
(![X]:((~calm(X)|~humble(X))=>(~kind(X)&tall(X))))&
(![X]:((humble(X)|~generous(X))=>(~rich(X)|~tall(X)... | ~old(lucy) | [
"p2",
"p3",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7624858791130894822585573
% SZS output start Proof for 7624858791130894822585573
3. ! [X0] : (~old(X0) => ~happy(X0)) [input p2]
4. ! [X0] : ((~curious(X0) | strong(X0)) => old(X0)) [input p3]
14. (~brave(lucy) & happy(lucy)) <=> ? [X0] : (~calm(X0) | ~rich(X0)) [input p13]
16. ! [X0] : (... | 0 |
If alice is funny then alice is not rich.
Everyone who is generous is both curious and funny.
Everyone who is generous is both not tall and quiet and vice versa.
If someone is both funny and not wise then someone is funny.
Everyone who is kind is not creative or happy and vice versa.
If someone is both curious and not ... | John is not brave. | neutral | ((funny(alice))=>(~rich(alice)))&
(![X]:(generous(X)=>(curious(X)&funny(X))))&
(![X]:(generous(X)<=>(~tall(X)&quiet(X))))&
((?[X]:((funny(X)&~wise(X))))=>(?[X]:(funny(X))))&
(![X]:(kind(X)<=>(~creative(X)|happy(X))))&
((?[X]:((curious(X)&~creative(X))))=>((wise(john)<~>~generous(john))))&
((?[X]:(~funny(X)))=>(?[X]:(ki... | ~brave(john) | [] | null | 0 |
Everyone who is both not wise and generous is either not generous or not old.
If someone is tall or funny then paul is humble or happy.
Everyone who is not wise or wise is both not tall and curious.
If someone is either tall or not strong then alice is not patient.
If someone is quiet then someone is kind and vice vers... | Alice is not strong. | neutral | (![X]:((~wise(X)&generous(X))=>(~generous(X)<~>~old(X))))&
((?[X]:((tall(X)|funny(X))))=>((humble(paul)|happy(paul))))&
(![X]:((~wise(X)|wise(X))=>(~tall(X)&curious(X))))&
((?[X]:((tall(X)<~>~strong(X))))=>(~patient(alice)))&
((?[X]:(quiet(X)))<=>(?[X]:(kind(X))))&
((patient(john))<=>((rich(fred)|quiet(fred))))&
(![X]:... | ~strong(alice) | [] | null | 0 |
Everyone who is not calm or brave is either not funny or happy and vice versa.
Everyone who is not tall or not quiet is generous and vice versa.
Everyone who is not funny or not strong is wise and vice versa.
Everyone who is either not humble or happy is not generous.
Everyone who is both not curious and not kind is bo... | Fred is not brave. | neutral | (![X]:((~calm(X)|brave(X))<=>(~funny(X)<~>happy(X))))&
(![X]:((~tall(X)|~quiet(X))<=>generous(X)))&
(![X]:((~funny(X)|~strong(X))<=>wise(X)))&
(![X]:((~humble(X)<~>happy(X))=>~generous(X)))&
(![X]:((~curious(X)&~kind(X))<=>(~humble(X)&~happy(X))))&
(![X]:(~humble(X)=>kind(X)))&
(((~humble(mary)|calm(mary)))=>(curious(j... | ~brave(fred) | [] | null | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If lucy is both brave and humble then someone is patient or wise.
Everyone who is rich is not kind and vice versa.
If someone is not brave or not happy then someone is both creative and not humble.
If mary is not curious or generous then someone is eith... | Lucy is happy. | contradiction | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((brave(lucy)&humble(lucy)))=>(?[X]:((patient(X)|wise(X)))))&
(![X]:(rich(X)<=>~kind(X)))&
((?[X]:((~brave(X)|~happy(X))))=>(?[X]:((creative(X)&~humble(X)))))&
(((~curious(mary)|generous(mary)))<=>(?[X]:((creative(X)<~>~calm(X)))))&
((?[X]:((curious(X)<~>creative(X))))=>((cal... | happy(lucy) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1755475320924736218661044
% SZS output start Proof for 1755475320924736218661044
1. ! [X0] : ((kind(X0) & ~curious(X0)) <=> happy(X0)) [input p0]
15. ! [X0] : ((generous(X0) | ~curious(X0)) <=> curious(X0)) [input p14]
24. happy(lucy) [input hypothesis]
43. ! [X0] : (((kind(X0) & ~curious... | 0 |
If someone is not happy or happy then someone is happy. Everyone who is happy or calm is not old and vice versa. Everyone who is both curious and not patient is not kind or not generous and vice versa. If lucy is both not rich and not old then john is either not quiet or generous and vice versa. If someone is not curio... | Alice is strong. | neutral | ((?[X]:((~happy(X)|happy(X))))=>(?[X]:(happy(X))))&
(![X]:((happy(X)|calm(X))<=>~old(X)))&
(![X]:((curious(X)&~patient(X))<=>(~kind(X)|~generous(X))))&
(((~rich(lucy)&~old(lucy)))<=>((~quiet(john)<~>generous(john))))&
((?[X]:((~curious(X)|~brave(X))))<=>((~brave(alice)&~quiet(alice))))&
(![X]:(~kind(X)=>(wise(X)&~happy... | strong(alice) | [] | null | 0 |
Everyone who is happy or brave is curious.
Everyone who is tall is both quiet and not kind and vice versa.
Everyone who is not strong or kind is not old and vice versa.
If fred is creative then someone is either not rich or funny.
Everyone who is not happy or rich is not kind and vice versa.
If someone is both not quie... | Fred is strong. | entailment | (![X]:((happy(X)|brave(X))=>curious(X)))&
(![X]:(tall(X)<=>(quiet(X)&~kind(X))))&
(![X]:((~strong(X)|kind(X))<=>~old(X)))&
((creative(fred))=>(?[X]:((~rich(X)<~>funny(X)))))&
(![X]:((~happy(X)|rich(X))<=>~kind(X)))&
((?[X]:((~quiet(X)&quiet(X))))=>(?[X]:((calm(X)&~old(X)))))&
(![X]:(~creative(X)<=>(~kind(X)|~patient(X)... | strong(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1000126760429271851987976
% SZS output start Proof for 1000126760429271851987976
10. ! [X0] : ((kind(X0) | ~strong(X0)) <=> (kind(X0) & ~kind(X0))) [input p9]
25. ~strong(fred) [input hypothesis]
58. ! [X0] : (((kind(X0) | ~strong(X0)) | (~kind(X0) | kind(X0))) & ((kind(X0) & ~kind(X0)) |... | 0 |
Everyone who is kind or calm is both not wise and not kind and vice versa. Everyone who is quiet is not humble or kind. Everyone who is either not brave or not strong is either tall or creative. Everyone who is both not tall and not humble is both not humble and generous. If lucy is kind then paul is either happy or cu... | Alice is not generous. | contradiction | (![X]:((kind(X)|calm(X))<=>(~wise(X)&~kind(X))))&
(![X]:(quiet(X)=>(~humble(X)|kind(X))))&
(![X]:((~brave(X)<~>~strong(X))=>(tall(X)<~>creative(X))))&
(![X]:((~tall(X)&~humble(X))=>(~humble(X)&generous(X))))&
((kind(lucy))=>((happy(paul)<~>curious(paul))))&
((?[X]:((~humble(X)|brave(X))))<=>(?[X]:((wise(X)&calm(X)))))&... | ~generous(alice) | [
"p0",
"p1",
"p5",
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7787041544268348602622704
% SZS output start Proof for 7787041544268348602622704
1. ! [X0] : ((calm(X0) | kind(X0)) <=> (~kind(X0) & ~wise(X0))) [input p0]
2. ! [X0] : (quiet(X0) => (kind(X0) | ~humble(X0))) [input p1]
6. ? [X0] : (brave(X0) | ~humble(X0)) <=> ? [X0] : (calm(X0) & wise(X0... | 0 |
If paul is both not creative and generous then someone is both kind and not creative and vice versa. Everyone who is not patient or not funny is both not wise and not curious and vice versa. If someone is strong or not funny then someone is rich or not funny. Everyone who is not wise is not generous and vice versa. If ... | Susan is brave. | neutral | (((~creative(paul)&generous(paul)))<=>(?[X]:((kind(X)&~creative(X)))))&
(![X]:((~patient(X)|~funny(X))<=>(~wise(X)&~curious(X))))&
((?[X]:((strong(X)|~funny(X))))=>(?[X]:((rich(X)|~funny(X)))))&
(![X]:(~wise(X)<=>~generous(X)))&
(((creative(john)&humble(john)))=>((funny(lucy)|~rich(lucy))))&
(((~quiet(lucy)|kind(lucy))... | brave(susan) | [] | null | 0 |
If paul is either not happy or not kind then someone is either not creative or not calm.
If alice is funny then someone is not curious or rich and vice versa.
Everyone who is both happy and not patient is both not rich and quiet and vice versa.
If someone is not curious then someone is either not wise or not curious.
E... | Paul is not creative. | neutral | (((~happy(paul)<~>~kind(paul)))=>(?[X]:((~creative(X)<~>~calm(X)))))&
((funny(alice))<=>(?[X]:((~curious(X)|rich(X)))))&
(![X]:((happy(X)&~patient(X))<=>(~rich(X)&quiet(X))))&
((?[X]:(~curious(X)))=>(?[X]:((~wise(X)<~>~curious(X)))))&
(![X]:((brave(X)<~>strong(X))<=>(~strong(X)<~>rich(X))))&
(![X]:((~wise(X)&quiet(X))=... | ~creative(paul) | [] | null | 0 |
Everyone who is rich or not calm is either quiet or not curious and vice versa. Everyone who is not calm is tall or rich and vice versa. If someone is old then someone is both strong and not happy. Everyone who is either not patient or not humble is patient and vice versa. Everyone who is strong or kind is either not w... | John is old. | contradiction | (![X]:((rich(X)|~calm(X))<=>(quiet(X)<~>~curious(X))))&
(![X]:(~calm(X)<=>(tall(X)|rich(X))))&
((?[X]:(old(X)))=>(?[X]:((strong(X)&~happy(X)))))&
(![X]:((~patient(X)<~>~humble(X))<=>patient(X)))&
(![X]:((strong(X)|kind(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((~patient(X)&~kind(X))<=>(humble(X)<~>~kind(X))))&
(![X]:((~humb... | old(john) | [
"p3",
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3518325775611375740207278
% SZS output start Proof for 3518325775611375740207278
4. ! [X0] : ((~patient(X0) <~> ~humble(X0)) <=> patient(X0)) [input p3]
6. ! [X0] : ((~kind(X0) & ~patient(X0)) <=> (humble(X0) <~> ~kind(X0))) [input p5]
10. ~patient(paul) => ~old(john) [input p9]
11. ! [X0... | 0 |
Everyone who is both not patient and generous is funny or rich and vice versa. If someone is generous or humble then lucy is either not wise or strong and vice versa. Everyone who is both not curious and not brave is either not patient or not brave and vice versa. If someone is not calm or not patient then someone is o... | Alice is not quiet. | entailment | (![X]:((~patient(X)&generous(X))<=>(funny(X)|rich(X))))&
((?[X]:((generous(X)|humble(X))))<=>((~wise(lucy)<~>strong(lucy))))&
(![X]:((~curious(X)&~brave(X))<=>(~patient(X)<~>~brave(X))))&
((?[X]:((~calm(X)|~patient(X))))=>(?[X]:(old(X))))&
((~funny(john))=>(?[X]:((~brave(X)<~>funny(X)))))&
(![X]:(wise(X)<=>(creative(X)... | ~quiet(alice) | [
"p0",
"p2",
"p6",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7948987496646685841683081
% SZS output start Proof for 7948987496646685841683081
1. ! [X0] : ((generous(X0) & ~patient(X0)) <=> (rich(X0) | funny(X0))) [input p0]
3. ! [X0] : ((~brave(X0) & ~curious(X0)) <=> (~patient(X0) <~> ~brave(X0))) [input p2]
7. ! [X0] : ((~curious(X0) & ~rich(X0))... | 0 |
If someone is either not kind or creative then someone is either not patient or old.
Everyone who is brave is not tall or generous and vice versa.
Everyone who is generous or calm is either happy or tall.
If someone is either not curious or rich then paul is creative or not curious and vice versa.
Everyone who is eithe... | Lucy is patient. | entailment | ((?[X]:((~kind(X)<~>creative(X))))=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:(brave(X)<=>(~tall(X)|generous(X))))&
(![X]:((generous(X)|calm(X))=>(happy(X)<~>tall(X))))&
((?[X]:((~curious(X)<~>rich(X))))<=>((creative(paul)|~curious(paul))))&
(![X]:((creative(X)<~>old(X))=>(~patient(X)|quiet(X))))&
(((curious(susan)|~gene... | patient(lucy) | [
"p1",
"p6",
"p7",
"p8",
"p10",
"p12",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2100313235969135802817
% SZS output start Proof for 2100313235969135802817
2. ! [X0] : (brave(X0) <=> (generous(X0) | ~tall(X0))) [input p1]
7. ! [X0] : ((~generous(X0) <~> ~happy(X0)) <=> (~creative(X0) <~> brave(X0))) [input p6]
8. ! [X0] : ((rich(X0) | calm(X0)) <=> (~strong(X0) & ~cre... | 0 |
Everyone who is not brave is curious and vice versa. If susan is both happy and not patient then someone is not kind or not rich and vice versa. If alice is not humble or brave then someone is either not creative or patient and vice versa. Everyone who is not generous is either generous or happy. Everyone who is both n... | Fred is not old. | contradiction | (![X]:(~brave(X)<=>curious(X)))&
(((happy(susan)&~patient(susan)))<=>(?[X]:((~kind(X)|~rich(X)))))&
(((~humble(alice)|brave(alice)))<=>(?[X]:((~creative(X)<~>patient(X)))))&
(![X]:(~generous(X)=>(generous(X)<~>happy(X))))&
(![X]:((~rich(X)&calm(X))=>(old(X)&~tall(X))))&
(![X]:((rich(X)|~happy(X))<=>(~old(X)&~strong(X))... | ~old(fred) | [
"p5",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5027270531601786985903584
% SZS output start Proof for 5027270531601786985903584
6. ! [X0] : ((~happy(X0) | rich(X0)) <=> (~strong(X0) & ~old(X0))) [input p5]
9. ! [X0] : ((happy(X0) <~> ~old(X0)) <=> (~humble(X0) | humble(X0))) [input p8]
15. ! [X0] : ((strong(X0) | ~happy(X0)) <=> old(X... | 0 |
Everyone who is not strong is not old or not happy and vice versa.
Everyone who is not humble is either not patient or not happy.
Everyone who is not curious is both not quiet and wise and vice versa.
Everyone who is not kind or patient is both not rich and not creative and vice versa.
Everyone who is not funny or happ... | Alice is not rich. | entailment | (![X]:(~strong(X)<=>(~old(X)|~happy(X))))&
(![X]:(~humble(X)=>(~patient(X)<~>~happy(X))))&
(![X]:(~curious(X)<=>(~quiet(X)&wise(X))))&
(![X]:((~kind(X)|patient(X))<=>(~rich(X)&~creative(X))))&
(![X]:((~funny(X)|happy(X))=>(tall(X)<~>wise(X))))&
((?[X]:(~funny(X)))<=>((~calm(john)&funny(john))))&
((?[X]:((~creative(X)<~... | ~rich(alice) | [
"p3",
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5372460914226258034629137
% SZS output start Proof for 5372460914226258034629137
4. ! [X0] : ((patient(X0) | ~kind(X0)) <=> (~creative(X0) & ~rich(X0))) [input p3]
6. ? [X0] : ~funny(X0) <=> (funny(john) & ~calm(john)) [input p5]
13. (~quiet(lucy) & ~patient(lucy)) <=> ? [X0] : (funny(X0)... | 0 |
Everyone who is either funny or not kind is either not wise or wise and vice versa.
Everyone who is not wise or not brave is kind and vice versa.
If someone is both quiet and not wise then john is either tall or not rich and vice versa.
If someone is not calm or curious then lucy is either calm or not curious.
Everyone... | Alice is funny. | entailment | (![X]:((funny(X)<~>~kind(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((~wise(X)|~brave(X))<=>kind(X)))&
((?[X]:((quiet(X)&~wise(X))))<=>((tall(john)<~>~rich(john))))&
((?[X]:((~calm(X)|curious(X))))=>((calm(lucy)<~>~curious(lucy))))&
(![X]:(old(X)<=>~kind(X)))&
(![X]:((~brave(X)|~rich(X))=>(~brave(X)<~>~rich(X))))&
((?[X]:(str... | funny(alice) | [
"p0",
"p1",
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7821567316314646179485797
% SZS output start Proof for 7821567316314646179485797
1. ! [X0] : ((funny(X0) <~> ~kind(X0)) <=> (~wise(X0) <~> wise(X0))) [input p0]
2. ! [X0] : ((~brave(X0) | ~wise(X0)) <=> kind(X0)) [input p1]
5. ! [X0] : (old(X0) <=> ~kind(X0)) [input p4]
11. ! [X0] : ((~ha... | 0 |
Everyone who is not creative is not kind or strong and vice versa.
Everyone who is both not brave and old is both tall and calm.
If someone is not patient then mary is both patient and not brave.
Everyone who is both not funny and quiet is both not happy and rich and vice versa.
Everyone who is either not creative or c... | Lucy is not humble. | entailment | (![X]:(~creative(X)<=>(~kind(X)|strong(X))))&
(![X]:((~brave(X)&old(X))=>(tall(X)&calm(X))))&
((?[X]:(~patient(X)))=>((patient(mary)&~brave(mary))))&
(![X]:((~funny(X)&quiet(X))<=>(~happy(X)&rich(X))))&
(![X]:((~creative(X)<~>creative(X))<=>(~quiet(X)&~curious(X))))&
(((patient(fred)<~>kind(fred)))=>((strong(alice)<~>~... | ~humble(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8509287529796817550565607
% SZS output start Proof for 8509287529796817550565607
7. ! [X0] : (~rich(X0) <=> (rich(X0) | ~humble(X0))) [input p6]
22. humble(lucy) [input hypothesis]
39. ! [X0] : ((~rich(X0) | (~rich(X0) & humble(X0))) & ((rich(X0) | ~humble(X0)) | rich(X0))) [nnf transform... | 0 |
Everyone who is not wise or not rich is either wise or strong and vice versa. If someone is not brave or not rich then lucy is curious and vice versa. Everyone who is either brave or not brave is either creative or not humble. Everyone who is either not rich or creative is either funny or happy. If fred is either not g... | John is not strong. | neutral | (![X]:((~wise(X)|~rich(X))<=>(wise(X)<~>strong(X))))&
((?[X]:((~brave(X)|~rich(X))))<=>(curious(lucy)))&
(![X]:((brave(X)<~>~brave(X))=>(creative(X)<~>~humble(X))))&
(![X]:((~rich(X)<~>creative(X))=>(funny(X)<~>happy(X))))&
(((~generous(fred)<~>~curious(fred)))<=>(rich(lucy)))&
(![X]:((~rich(X)&rich(X))<=>~tall(X)))&
(... | ~strong(john) | [] | null | 0 |
Everyone who is strong or not calm is not strong and vice versa. If someone is not happy then susan is not quiet and vice versa. Everyone who is brave is both not generous and not patient. Everyone who is either not old or generous is both calm and not strong. If paul is both strong and not calm then alice is not rich.... | Paul is humble. | contradiction | (![X]:((strong(X)|~calm(X))<=>~strong(X)))&
((?[X]:(~happy(X)))<=>(~quiet(susan)))&
(![X]:(brave(X)=>(~generous(X)&~patient(X))))&
(![X]:((~old(X)<~>generous(X))=>(calm(X)&~strong(X))))&
(((strong(paul)&~calm(paul)))=>(~rich(alice)))&
(![X]:((funny(X)&patient(X))=>(generous(X)&~kind(X))))&
(((~kind(mary)&brave(mary)))<... | humble(paul) | [
"p0",
"p10",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7997814372597996525447431
% SZS output start Proof for 7997814372597996525447431
1. ! [X0] : ((~calm(X0) | strong(X0)) <=> ~strong(X0)) [input p0]
11. ! [X0] : ((quiet(X0) & ~patient(X0)) <=> (~wise(X0) | ~rich(X0))) [input p10]
12. ! [X0] : ((~rich(X0) <~> ~funny(X0)) <=> (~funny(X0) & c... | 0 |
Everyone who is not rich or not humble is not funny or not rich. Everyone who is creative is both humble and brave. If someone is both not strong and old then susan is not creative. Everyone who is not strong or quiet is either curious or old. Everyone who is both old and generous is not kind or not rich and vice versa... | Lucy is curious. | neutral | (![X]:((~rich(X)|~humble(X))=>(~funny(X)|~rich(X))))&
(![X]:(creative(X)=>(humble(X)&brave(X))))&
((?[X]:((~strong(X)&old(X))))=>(~creative(susan)))&
(![X]:((~strong(X)|quiet(X))=>(curious(X)<~>old(X))))&
(![X]:((old(X)&generous(X))<=>(~kind(X)|~rich(X))))&
((tall(alice))<=>(?[X]:((~generous(X)<~>~rich(X)))))&
(((funny... | curious(lucy) | [] | null | 0 |
If susan is either not funny or brave then someone is both not curious and not old and vice versa. If mary is calm or not kind then mary is not creative or not patient. If someone is both wise and tall then someone is both not generous and brave and vice versa. Everyone who is old or funny is not strong. Everyone who i... | Lucy is not rich. | neutral | (((~funny(susan)<~>brave(susan)))<=>(?[X]:((~curious(X)&~old(X)))))&
(((calm(mary)|~kind(mary)))=>((~creative(mary)|~patient(mary))))&
((?[X]:((wise(X)&tall(X))))<=>(?[X]:((~generous(X)&brave(X)))))&
(![X]:((old(X)|funny(X))=>~strong(X)))&
(![X]:(~brave(X)<=>(funny(X)|~old(X))))&
((?[X]:((~curious(X)|~humble(X))))=>((s... | ~rich(lucy) | [] | null | 0 |
If someone is tall or not wise then susan is either brave or not quiet. If someone is either tall or calm then fred is either not strong or not patient and vice versa. If lucy is not brave then john is both wise and calm and vice versa. Everyone who is not generous is either curious or rich and vice versa. If john is e... | Alice is not rich. | contradiction | ((?[X]:((tall(X)|~wise(X))))=>((brave(susan)<~>~quiet(susan))))&
((?[X]:((tall(X)<~>calm(X))))<=>((~strong(fred)<~>~patient(fred))))&
((~brave(lucy))<=>((wise(john)&calm(john))))&
(![X]:(~generous(X)<=>(curious(X)<~>rich(X))))&
(((wise(john)<~>happy(john)))=>((~funny(john)<~>happy(john))))&
(((curious(paul)&generous(pa... | ~rich(alice) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 915849167132414857383854
% SZS output start Proof for 915849167132414857383854
21. rich(alice) [input p20]
23. ~rich(alice) [input hypothesis]
140. rich(alice) [cnf transformation 21]
143. ~rich(alice) [cnf transformation 23]
362. $false [subsumption resolution 143,140]
% SZS output end P... | 0 |
Everyone who is both not happy and patient is generous or not generous.
Everyone who is wise is either wise or calm.
Everyone who is both not humble and brave is not old or generous and vice versa.
If fred is not rich or not curious then someone is brave or rich.
If fred is not tall then someone is either not kind or q... | Paul is patient. | contradiction | (![X]:((~happy(X)&patient(X))=>(generous(X)|~generous(X))))&
(![X]:(wise(X)=>(wise(X)<~>calm(X))))&
(![X]:((~humble(X)&brave(X))<=>(~old(X)|generous(X))))&
(((~rich(fred)|~curious(fred)))=>(?[X]:((brave(X)|rich(X)))))&
((~tall(fred))=>(?[X]:((~kind(X)<~>quiet(X)))))&
((?[X]:((patient(X)<~>~happy(X))))=>(?[X]:((~rich(X)... | patient(paul) | [
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6412712257566572531951542
% SZS output start Proof for 6412712257566572531951542
11. ! [X0] : (rich(X0) <=> (generous(X0) | happy(X0))) [input p10]
12. ! [X0] : (rich(X0) => (humble(X0) & ~patient(X0))) [input p11]
13. ! [X0] : ((~patient(X0) <~> ~generous(X0)) => ~patient(X0)) [input p12... | 0 |
Everyone who is either not calm or quiet is both old and kind.
Everyone who is either creative or not creative is both patient and not curious.
If paul is both rich and not brave then mary is both not old and generous and vice versa.
Everyone who is brave is humble or calm.
If fred is both quiet and patient then someon... | Fred is creative. | contradiction | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&kind(X))))&
(![X]:((creative(X)<~>~creative(X))=>(patient(X)&~curious(X))))&
(((rich(paul)&~brave(paul)))<=>((~old(mary)&generous(mary))))&
(![X]:(brave(X)=>(humble(X)|calm(X))))&
(((quiet(fred)&patient(fred)))<=>(?[X]:((creative(X)&calm(X)))))&
(![X]:((wise(X)|~kind(X))<=>(rich(X)... | creative(fred) | [
"p1",
"p4",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 173915196980849921229249
% SZS output start Proof for 173915196980849921229249
2. ! [X0] : ((creative(X0) <~> ~creative(X0)) => (~curious(X0) & patient(X0))) [input p1]
5. (patient(fred) & quiet(fred)) <=> ? [X0] : (calm(X0) & creative(X0)) [input p4]
11. patient(mary) => (~calm(fred) | ~... | 0 |
Everyone who is both funny and not patient is not calm or not brave and vice versa.
If john is not rich then someone is both rich and curious and vice versa.
If someone is patient then someone is either humble or not funny.
If susan is not old or calm then susan is old.
Everyone who is not old or generous is not brave ... | Lucy is not patient. | entailment | (![X]:((funny(X)&~patient(X))<=>(~calm(X)|~brave(X))))&
((~rich(john))<=>(?[X]:((rich(X)&curious(X)))))&
((?[X]:(patient(X)))=>(?[X]:((humble(X)<~>~funny(X)))))&
(((~old(susan)|calm(susan)))=>(old(susan)))&
(![X]:((~old(X)|generous(X))<=>~brave(X)))&
(![X]:((rich(X)|~strong(X))<=>(curious(X)|~tall(X))))&
(((happy(lucy)... | ~patient(lucy) | [
"p0",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1779524823507930116367913
% SZS output start Proof for 1779524823507930116367913
1. ! [X0] : ((~patient(X0) & funny(X0)) <=> (~brave(X0) | ~calm(X0))) [input p0]
11. ! [X0] : ((~calm(X0) & brave(X0)) <=> (~wise(X0) | ~kind(X0))) [input p10]
14. ! [X0] : ((brave(X0) & kind(X0)) => ~patient... | 0 |
Everyone who is both not rich and curious is creative and vice versa.
If mary is both generous and old then lucy is quiet or curious.
Everyone who is not rich is both rich and not brave and vice versa.
Everyone who is not happy or not patient is both creative and not strong and vice versa.
Everyone who is calm or not s... | Fred is not humble. | neutral | (![X]:((~rich(X)&curious(X))<=>creative(X)))&
(((generous(mary)&old(mary)))=>((quiet(lucy)|curious(lucy))))&
(![X]:(~rich(X)<=>(rich(X)&~brave(X))))&
(![X]:((~happy(X)|~patient(X))<=>(creative(X)&~strong(X))))&
(![X]:((calm(X)|~strong(X))<=>(~brave(X)<~>~rich(X))))&
((?[X]:((~strong(X)|~quiet(X))))=>((~quiet(fred)|~ric... | ~humble(fred) | [] | null | 0 |
Everyone who is both not calm and not strong is either brave or tall and vice versa.
Everyone who is old is both humble and not kind and vice versa.
Everyone who is old is calm or not wise and vice versa.
If lucy is tall or rich then someone is not creative.
If susan is either generous or not humble then someone is eit... | John is not curious. | contradiction | (![X]:((~calm(X)&~strong(X))<=>(brave(X)<~>tall(X))))&
(![X]:(old(X)<=>(humble(X)&~kind(X))))&
(![X]:(old(X)<=>(calm(X)|~wise(X))))&
(((tall(lucy)|rich(lucy)))=>(?[X]:(~creative(X))))&
(((generous(susan)<~>~humble(susan)))<=>(?[X]:((~generous(X)<~>funny(X)))))&
(![X]:((~curious(X)|tall(X))=>(quiet(X)<~>~humble(X))))&
(... | ~curious(john) | [
"p2",
"p5",
"p10",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7921306478576486384462619
% SZS output start Proof for 7921306478576486384462619
3. ! [X0] : (old(X0) <=> (~wise(X0) | calm(X0))) [input p2]
6. ! [X0] : ((tall(X0) | ~curious(X0)) => (quiet(X0) <~> ~humble(X0))) [input p5]
11. ! [X0] : ((~funny(X0) <~> curious(X0)) => (rich(X0) & quiet(X0... | 0 |
If someone is generous or tall then someone is not calm and vice versa.
If alice is both not strong and not rich then lucy is not kind or not brave and vice versa.
Everyone who is not curious or tall is both not humble and not curious and vice versa.
If someone is both not calm and calm then john is calm or creative an... | Susan is not humble. | entailment | ((?[X]:((generous(X)|tall(X))))<=>(?[X]:(~calm(X))))&
(((~strong(alice)&~rich(alice)))<=>((~kind(lucy)|~brave(lucy))))&
(![X]:((~curious(X)|tall(X))<=>(~humble(X)&~curious(X))))&
((?[X]:((~calm(X)&calm(X))))<=>((calm(john)|creative(john))))&
(![X]:(~humble(X)<=>(~old(X)&wise(X))))&
(![X]:((~strong(X)<~>~tall(X))=>(happ... | ~humble(susan) | [
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 164604811113011264788954
% SZS output start Proof for 164604811113011264788954
5. ! [X0] : (~humble(X0) <=> (wise(X0) & ~old(X0))) [input p4]
15. ! [X0] : ((wise(X0) & ~old(X0)) <=> (wise(X0) | humble(X0))) [input p14]
22. humble(susan) [input hypothesis]
50. ! [X0] : ((~humble(X0) | (~wi... | 0 |
If someone is either not calm or wise then alice is both patient and creative and vice versa. If someone is both curious and tall then someone is both rich and not rich. Everyone who is not happy is quiet or not quiet and vice versa. Everyone who is not strong or rich is both not curious and not kind and vice versa. If... | Susan is not kind. | contradiction | ((?[X]:((~calm(X)<~>wise(X))))<=>((patient(alice)&creative(alice))))&
((?[X]:((curious(X)&tall(X))))=>(?[X]:((rich(X)&~rich(X)))))&
(![X]:(~happy(X)<=>(quiet(X)|~quiet(X))))&
(![X]:((~strong(X)|rich(X))<=>(~curious(X)&~kind(X))))&
(((wise(susan)&kind(susan)))=>((~strong(susan)|curious(susan))))&
(![X]:((~wise(X)|~quiet... | ~kind(susan) | [
"p3",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2573416646680748467918994
% SZS output start Proof for 2573416646680748467918994
4. ! [X0] : ((rich(X0) | ~strong(X0)) <=> (~kind(X0) & ~curious(X0))) [input p3]
11. ! [X0] : ((~brave(X0) <~> ~tall(X0)) <=> (rich(X0) <~> ~brave(X0))) [input p10]
16. ! [X0] : (~kind(X0) <=> (~tall(X0) <~> ... | 0 |
If someone is not curious then someone is both curious and not funny.
If mary is not humble then someone is either not tall or brave.
If paul is brave then john is patient or not strong.
If paul is generous or tall then john is both not creative and not humble.
Everyone who is either not kind or not patient is not humb... | Paul is not humble. | contradiction | ((?[X]:(~curious(X)))=>(?[X]:((curious(X)&~funny(X)))))&
((~humble(mary))=>(?[X]:((~tall(X)<~>brave(X)))))&
((brave(paul))=>((patient(john)|~strong(john))))&
(((generous(paul)|tall(paul)))=>((~creative(john)&~humble(john))))&
(![X]:((~kind(X)<~>~patient(X))=>~humble(X)))&
((?[X]:((~patient(X)|kind(X))))<=>((~calm(susan... | ~humble(paul) | [
"p8",
"p9",
"p10",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2293823720557342819799117
% SZS output start Proof for 2293823720557342819799117
9. ! [X0] : (~quiet(X0) <=> (~calm(X0) | strong(X0))) [input p8]
10. ! [X0] : (calm(X0) <=> ~humble(X0)) [input p9]
11. ! [X0] : (curious(X0) <=> ~calm(X0)) [input p10]
15. ? [X0] : (~quiet(X0) | ~humble(X0))... | 0 |
If paul is both tall and not funny then someone is not calm or not kind and vice versa.
Everyone who is not patient or happy is not tall and vice versa.
If someone is not happy or rich then mary is not wise or wise and vice versa.
Everyone who is either not patient or brave is either creative or brave and vice versa.
E... | Mary is not humble. | contradiction | (((tall(paul)&~funny(paul)))<=>(?[X]:((~calm(X)|~kind(X)))))&
(![X]:((~patient(X)|happy(X))<=>~tall(X)))&
((?[X]:((~happy(X)|rich(X))))<=>((~wise(mary)|wise(mary))))&
(![X]:((~patient(X)<~>brave(X))<=>(creative(X)<~>brave(X))))&
(![X]:((old(X)|~curious(X))<=>(generous(X)&rich(X))))&
((?[X]:((kind(X)&~patient(X))))=>((h... | ~humble(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9048601535810059436250779
% SZS output start Proof for 9048601535810059436250779
20. humble(mary) [input p19]
25. ~humble(mary) [input hypothesis]
147. humble(mary) [cnf transformation 20]
154. ~humble(mary) [cnf transformation 25]
362. $false [subsumption resolution 154,147]
% SZS output... | 0 |
If fred is both not brave and generous then someone is not rich or not quiet and vice versa.
If john is either creative or not brave then someone is both kind and generous.
If someone is not quiet or not strong then fred is not wise.
Everyone who is not tall is generous or strong.
Everyone who is either quiet or funny ... | Lucy is not patient. | entailment | (((~brave(fred)&generous(fred)))<=>(?[X]:((~rich(X)|~quiet(X)))))&
(((creative(john)<~>~brave(john)))=>(?[X]:((kind(X)&generous(X)))))&
((?[X]:((~quiet(X)|~strong(X))))=>(~wise(fred)))&
(![X]:(~tall(X)=>(generous(X)|strong(X))))&
(![X]:((quiet(X)<~>funny(X))<=>~creative(X)))&
(![X]:((happy(X)|~tall(X))=>(strong(X)<~>~h... | ~patient(lucy) | [
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5929949529776259201914624
% SZS output start Proof for 5929949529776259201914624
9. ! [X0] : (~patient(X0) <=> (funny(X0) | ~curious(X0))) [input p8]
22. funny(lucy) & ~happy(lucy) [input p21]
25. patient(lucy) [input hypothesis]
62. ! [X0] : ((~patient(X0) | (~funny(X0) & curious(X0))) &... | 0 |
Everyone who is not curious or not quiet is both not generous and kind.
Everyone who is either not funny or not wise is rich.
Everyone who is patient is either happy or not funny and vice versa.
If susan is not happy or not creative then someone is either calm or kind.
If susan is patient or curious then alice is not f... | Lucy is not patient. | entailment | (![X]:((~curious(X)|~quiet(X))=>(~generous(X)&kind(X))))&
(![X]:((~funny(X)<~>~wise(X))=>rich(X)))&
(![X]:(patient(X)<=>(happy(X)<~>~funny(X))))&
(((~happy(susan)|~creative(susan)))=>(?[X]:((calm(X)<~>kind(X)))))&
(((patient(susan)|curious(susan)))=>((~funny(alice)|~humble(alice))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>(... | ~patient(lucy) | [
"p1",
"p2",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 464917921503830599932972
% SZS output start Proof for 464917921503830599932972
2. ! [X0] : ((~funny(X0) <~> ~wise(X0)) => rich(X0)) [input p1]
3. ! [X0] : (patient(X0) <=> (happy(X0) <~> ~funny(X0))) [input p2]
6. ? [X0] : (~rich(X0) <~> ~wise(X0)) <=> ~wise(lucy) [input p5]
8. ! [X0] : (... | 0 |
Everyone who is both not brave and not curious is both rich and funny. Everyone who is not old is either not brave or generous and vice versa. If lucy is not kind then someone is either not brave or not strong. Everyone who is both not wise and tall is humble and vice versa. If someone is rich then fred is both generou... | Mary is creative. | entailment | (![X]:((~brave(X)&~curious(X))=>(rich(X)&funny(X))))&
(![X]:(~old(X)<=>(~brave(X)<~>generous(X))))&
((~kind(lucy))=>(?[X]:((~brave(X)<~>~strong(X)))))&
(![X]:((~wise(X)&tall(X))<=>humble(X)))&
((?[X]:(rich(X)))=>((generous(fred)&curious(fred))))&
(![X]:(generous(X)<=>~humble(X)))&
(![X]:((calm(X)&~calm(X))=>(old(X)<~>p... | creative(mary) | [
"p0",
"p1",
"p4",
"p8",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3716039605948109020608827
% SZS output start Proof for 3716039605948109020608827
1. ! [X0] : ((~curious(X0) & ~brave(X0)) => (funny(X0) & rich(X0))) [input p0]
2. ! [X0] : (~old(X0) <=> (~brave(X0) <~> generous(X0))) [input p1]
5. ? [X0] : rich(X0) => (curious(fred) & generous(fred)) [inp... | 0 |
If mary is both kind and not tall then fred is not patient and vice versa.
If fred is both kind and not funny then susan is not tall or calm and vice versa.
Everyone who is both humble and not tall is not calm.
Everyone who is not quiet is either not quiet or curious.
Everyone who is both rich and not rich is both wise... | Fred is not strong. | entailment | (((kind(mary)&~tall(mary)))<=>(~patient(fred)))&
(((kind(fred)&~funny(fred)))<=>((~tall(susan)|calm(susan))))&
(![X]:((humble(X)&~tall(X))=>~calm(X)))&
(![X]:(~quiet(X)=>(~quiet(X)<~>curious(X))))&
(![X]:((rich(X)&~rich(X))=>(wise(X)&~old(X))))&
(((quiet(mary)|~tall(mary)))=>((~curious(mary)<~>~generous(mary))))&
((~ki... | ~strong(fred) | [
"p9",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6244085688511152342725567
% SZS output start Proof for 6244085688511152342725567
10. ! [X0] : ((calm(X0) | brave(X0)) => strong(X0)) [input p9]
13. ! [X0] : ((~brave(X0) & generous(X0)) <=> (brave(X0) & strong(X0))) [input p12]
22. ~strong(fred) | generous(fred) [input p21]
24. strong(fre... | 0 |
If fred is tall then someone is not old or not wise.
If someone is rich or not funny then paul is funny.
Everyone who is either not brave or not tall is both not creative and happy.
If someone is curious or not creative then someone is both not tall and strong.
If john is curious then fred is either not happy or not wi... | Paul is calm. | contradiction | ((tall(fred))=>(?[X]:((~old(X)|~wise(X)))))&
((?[X]:((rich(X)|~funny(X))))=>(funny(paul)))&
(![X]:((~brave(X)<~>~tall(X))=>(~creative(X)&happy(X))))&
((?[X]:((curious(X)|~creative(X))))=>(?[X]:((~tall(X)&strong(X)))))&
((curious(john))<=>((~happy(fred)<~>~wise(fred))))&
(![X]:((rich(X)|~old(X))<=>(~calm(X)&~tall(X))))&... | calm(paul) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8784460441665776930351591
% SZS output start Proof for 8784460441665776930351591
6. ! [X0] : ((~old(X0) | rich(X0)) <=> (~tall(X0) & ~calm(X0))) [input p5]
11. ! [X0] : ((rich(X0) <~> ~kind(X0)) <=> kind(X0)) [input p10]
23. calm(paul) [input hypothesis]
51. ! [X0] : (((~old(X0) | rich(X0... | 0 |
If john is wise then mary is either calm or not tall and vice versa. Everyone who is not tall is not strong or patient. Everyone who is curious or not humble is humble. If fred is both brave and rich then john is not old or tall and vice versa. Everyone who is either brave or not old is not kind. If mary is not old the... | Mary is not old. | entailment | ((wise(john))<=>((calm(mary)<~>~tall(mary))))&
(![X]:(~tall(X)=>(~strong(X)|patient(X))))&
(![X]:((curious(X)|~humble(X))=>humble(X)))&
(((brave(fred)&rich(fred)))<=>((~old(john)|tall(john))))&
(![X]:((brave(X)<~>~old(X))=>~kind(X)))&
((~old(mary))=>((wise(paul)|~tall(paul))))&
(![X]:(~tall(X)=>~curious(X)))&
((?[X]:(~... | ~old(mary) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5264839615680281584962931
% SZS output start Proof for 5264839615680281584962931
14. ! [X0] : (~wise(X0) <=> (~strong(X0) & ~old(X0))) [input p13]
15. ! [X0] : (wise(X0) => (~wise(X0) & curious(X0))) [input p14]
25. old(mary) [input hypothesis]
40. ! [X0] : ((~wise(X0) & curious(X0)) | ~w... | 0 |
If mary is not humble then someone is not tall.
Everyone who is not tall or strong is both rich and not rich and vice versa.
Everyone who is both not tall and happy is generous or not funny and vice versa.
Everyone who is both not funny and not tall is either not happy or not generous.
If susan is both rich and not str... | Alice is rich. | contradiction | ((~humble(mary))=>(?[X]:(~tall(X))))&
(![X]:((~tall(X)|strong(X))<=>(rich(X)&~rich(X))))&
(![X]:((~tall(X)&happy(X))<=>(generous(X)|~funny(X))))&
(![X]:((~funny(X)&~tall(X))=>(~happy(X)<~>~generous(X))))&
(((rich(susan)&~strong(susan)))=>(?[X]:(happy(X))))&
((?[X]:(rich(X)))=>((~funny(paul)&~humble(paul))))&
(![X]:((~f... | rich(alice) | [
"p1",
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4513820522539315006405279
% SZS output start Proof for 4513820522539315006405279
2. ! [X0] : ((strong(X0) | ~tall(X0)) <=> (~rich(X0) & rich(X0))) [input p1]
3. ! [X0] : ((happy(X0) & ~tall(X0)) <=> (~funny(X0) | generous(X0))) [input p2]
6. ? [X0] : rich(X0) => (~humble(paul) & ~funny(pa... | 0 |
Everyone who is either humble or not calm is not strong or not tall.
Everyone who is both humble and not tall is not generous and vice versa.
Everyone who is not creative or not patient is both strong and tall and vice versa.
Everyone who is both strong and calm is either not strong or not tall and vice versa.
If someo... | John is not strong. | entailment | (![X]:((humble(X)<~>~calm(X))=>(~strong(X)|~tall(X))))&
(![X]:((humble(X)&~tall(X))<=>~generous(X)))&
(![X]:((~creative(X)|~patient(X))<=>(strong(X)&tall(X))))&
(![X]:((strong(X)&calm(X))<=>(~strong(X)<~>~tall(X))))&
((?[X]:((~calm(X)|calm(X))))<=>(?[X]:((curious(X)<~>rich(X)))))&
(![X]:(~creative(X)=>(kind(X)<~>~kind(... | ~strong(john) | [
"p2",
"p3",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 356501178365448576573227
% SZS output start Proof for 356501178365448576573227
3. ! [X0] : ((~patient(X0) | ~creative(X0)) <=> (tall(X0) & strong(X0))) [input p2]
4. ! [X0] : ((calm(X0) & strong(X0)) <=> (~strong(X0) <~> ~tall(X0))) [input p3]
8. ! [X0] : ((brave(X0) & ~strong(X0)) <=> (f... | 0 |
If someone is kind or not brave then someone is humble or not calm.
Everyone who is not generous is not funny.
If someone is funny then mary is either not kind or creative and vice versa.
Everyone who is creative or kind is both not curious and quiet.
Everyone who is strong or not curious is kind and vice versa.
Everyo... | Mary is not strong. | entailment | ((?[X]:((kind(X)|~brave(X))))=>(?[X]:((humble(X)|~calm(X)))))&
(![X]:(~generous(X)=>~funny(X)))&
((?[X]:(funny(X)))<=>((~kind(mary)<~>creative(mary))))&
(![X]:((creative(X)|kind(X))=>(~curious(X)&quiet(X))))&
(![X]:((strong(X)|~curious(X))<=>kind(X)))&
(![X]:((~brave(X)|~creative(X))<=>(~old(X)|quiet(X))))&
(![X]:((old... | ~strong(mary) | [
"p3",
"p4",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7804331701378675283249222
% SZS output start Proof for 7804331701378675283249222
4. ! [X0] : ((kind(X0) | creative(X0)) => (quiet(X0) & ~curious(X0))) [input p3]
5. ! [X0] : ((~curious(X0) | strong(X0)) <=> kind(X0)) [input p4]
6. ! [X0] : ((~creative(X0) | ~brave(X0)) <=> (quiet(X0) | ~o... | 0 |
Everyone who is either patient or tall is either humble or not happy and vice versa. If someone is either not strong or not funny then someone is wise. If lucy is not rich or not brave then john is either not generous or not funny. Everyone who is either patient or not happy is both wise and not kind. If someone is eit... | John is not patient. | neutral | (![X]:((patient(X)<~>tall(X))<=>(humble(X)<~>~happy(X))))&
((?[X]:((~strong(X)<~>~funny(X))))=>(?[X]:(wise(X))))&
(((~rich(lucy)|~brave(lucy)))=>((~generous(john)<~>~funny(john))))&
(![X]:((patient(X)<~>~happy(X))=>(wise(X)&~kind(X))))&
((?[X]:((quiet(X)<~>strong(X))))=>(?[X]:((~kind(X)<~>~strong(X)))))&
((?[X]:((~funn... | ~patient(john) | [] | null | 0 |
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