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 |
|---|---|---|---|---|---|---|---|
If lucy is not calm or tall then someone is both not old and kind. If mary is kind or tall then fred is both tall and wise and vice versa. If john is generous then someone is either kind or tall and vice versa. If someone is generous then fred is calm. Everyone who is both wise and happy is either not old or not rich. ... | Fred is not generous. | entailment | (((~calm(lucy)|tall(lucy)))=>(?[X]:((~old(X)&kind(X)))))&
(((kind(mary)|tall(mary)))<=>((tall(fred)&wise(fred))))&
((generous(john))<=>(?[X]:((kind(X)<~>tall(X)))))&
((?[X]:(generous(X)))=>(calm(fred)))&
(![X]:((wise(X)&happy(X))=>(~old(X)<~>~rich(X))))&
((?[X]:((creative(X)&~calm(X))))=>(?[X]:((~rich(X)<~>rich(X)))))&... | ~generous(fred) | [
"p6",
"p8",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3712320656125829601924104
% SZS output start Proof for 3712320656125829601924104
7. ! [X0] : (calm(X0) <=> (~wise(X0) & ~curious(X0))) [input p6]
9. ! [X0] : (~funny(X0) <=> (funny(X0) & humble(X0))) [input p8]
11. ! [X0] : (generous(X0) => wise(X0)) [input p10]
22. calm(fred) <~> ~funny(... | 0 |
Everyone who is not generous is patient and vice versa.
If paul is either curious or calm then lucy is both humble and tall.
Everyone who is both funny and generous is wise or not creative and vice versa.
Everyone who is both not wise and not creative is either rich or wise.
If someone is not generous then someone is b... | Paul is funny. | contradiction | (![X]:(~generous(X)<=>patient(X)))&
(((curious(paul)<~>calm(paul)))=>((humble(lucy)&tall(lucy))))&
(![X]:((funny(X)&generous(X))<=>(wise(X)|~creative(X))))&
(![X]:((~wise(X)&~creative(X))=>(rich(X)<~>wise(X))))&
((?[X]:(~generous(X)))=>(?[X]:((tall(X)&~rich(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((~brave(X)&rich(X)))))&
((... | funny(paul) | [
"p0",
"p2",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3144169766652603875877286
% SZS output start Proof for 3144169766652603875877286
1. ! [X0] : (~generous(X0) <=> patient(X0)) [input p0]
3. ! [X0] : ((generous(X0) & funny(X0)) <=> (~creative(X0) | wise(X0))) [input p2]
14. ! [X0] : ((funny(X0) & ~funny(X0)) <=> (wise(X0) | patient(X0))) [... | 0 |
If someone is generous then fred is not patient and vice versa.
Everyone who is strong is both curious and patient and vice versa.
Everyone who is not humble is both happy and rich and vice versa.
If alice is not rich or patient then mary is either tall or not humble.
Everyone who is either not humble or not funny is n... | John is tall. | neutral | ((?[X]:(generous(X)))<=>(~patient(fred)))&
(![X]:(strong(X)<=>(curious(X)&patient(X))))&
(![X]:(~humble(X)<=>(happy(X)&rich(X))))&
(((~rich(alice)|patient(alice)))=>((tall(mary)<~>~humble(mary))))&
(![X]:((~humble(X)<~>~funny(X))=>(~curious(X)|~tall(X))))&
(((quiet(mary)<~>creative(mary)))=>((~rich(john)&creative(john)... | tall(john) | [] | null | 0 |
Everyone who is strong or brave is either brave or humble and vice versa.
If fred is brave or generous then someone is not strong.
Everyone who is patient or not calm is both generous and not tall and vice versa.
Everyone who is not curious or brave is kind or humble and vice versa.
If someone is either generous or cur... | Paul is not humble. | entailment | (![X]:((strong(X)|brave(X))<=>(brave(X)<~>humble(X))))&
(((brave(fred)|generous(fred)))=>(?[X]:(~strong(X))))&
(![X]:((patient(X)|~calm(X))<=>(generous(X)&~tall(X))))&
(![X]:((~curious(X)|brave(X))<=>(kind(X)|humble(X))))&
((?[X]:((generous(X)<~>curious(X))))<=>(creative(susan)))&
(![X]:((~generous(X)&~brave(X))=>old(X... | ~humble(paul) | [
"p0",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7687199866681165174680613
% SZS output start Proof for 7687199866681165174680613
1. ! [X0] : ((brave(X0) | strong(X0)) <=> (brave(X0) <~> humble(X0))) [input p0]
24. ~strong(paul) [input p23]
25. humble(paul) [input hypothesis]
40. ! [X0] : (((brave(X0) | strong(X0)) | ((brave(X0) | ~humb... | 0 |
If someone is either not calm or humble then alice is both not curious and funny.
If lucy is curious then someone is not generous and vice versa.
If mary is either creative or not brave then john is both happy and not tall and vice versa.
If mary is calm then fred is creative.
Everyone who is both strong and wise is ge... | Susan is not creative. | entailment | ((?[X]:((~calm(X)<~>humble(X))))=>((~curious(alice)&funny(alice))))&
((curious(lucy))<=>(?[X]:(~generous(X))))&
(((creative(mary)<~>~brave(mary)))<=>((happy(john)&~tall(john))))&
((calm(mary))=>(creative(fred)))&
(![X]:((strong(X)&wise(X))=>generous(X)))&
(![X]:((curious(X)&~curious(X))<=>(~curious(X)<~>brave(X))))&
(!... | ~creative(susan) | [
"p1",
"p7",
"p8",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2673641529198876366308726
% SZS output start Proof for 2673641529198876366308726
2. curious(lucy) <=> ? [X0] : ~generous(X0) [input p1]
8. ! [X0] : (quiet(X0) <=> (creative(X0) & generous(X0))) [input p7]
9. ? [X0] : (~happy(X0) & ~wise(X0)) <=> ? [X0] : ~happy(X0) [input p8]
12. ! [X0] :... | 0 |
Everyone who is either not funny or kind is either generous or tall.
If someone is either funny or not rich then someone is both curious and not creative and vice versa.
Everyone who is not humble is either happy or tall and vice versa.
Everyone who is either not old or not happy is both happy and creative.
If someone ... | Lucy is tall. | neutral | (![X]:((~funny(X)<~>kind(X))=>(generous(X)<~>tall(X))))&
((?[X]:((funny(X)<~>~rich(X))))<=>(?[X]:((curious(X)&~creative(X)))))&
(![X]:(~humble(X)<=>(happy(X)<~>tall(X))))&
(![X]:((~old(X)<~>~happy(X))=>(happy(X)&creative(X))))&
((?[X]:((brave(X)&strong(X))))<=>(curious(lucy)))&
((?[X]:(creative(X)))=>(?[X]:(funny(X))))... | tall(lucy) | [] | null | 0 |
Everyone who is patient or not patient is wise.
If lucy is either quiet or wise then mary is either creative or curious and vice versa.
Everyone who is wise is not strong or not brave.
Everyone who is either humble or brave is not brave and vice versa.
Everyone who is either not patient or not quiet is either not humbl... | Alice is not old. | contradiction | (![X]:((patient(X)|~patient(X))=>wise(X)))&
(((quiet(lucy)<~>wise(lucy)))<=>((creative(mary)<~>curious(mary))))&
(![X]:(wise(X)=>(~strong(X)|~brave(X))))&
(![X]:((humble(X)<~>brave(X))<=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
(... | ~old(alice) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 307214199069850611438548
% SZS output start Proof for 307214199069850611438548
1. ! [X0] : ((~patient(X0) | patient(X0)) => wise(X0)) [input p0]
12. ? [X0] : (~old(X0) | quiet(X0)) => ? [X0] : (wise(X0) & ~wise(X0)) [input p11]
23. ~old(alice) [input hypothesis]
24. ? [X0] : (~old(X0) | q... | 0 |
Everyone who is not humble or not strong is both not happy and kind and vice versa.
Everyone who is curious is tall.
Everyone who is either not patient or quiet is both not creative and not curious.
Everyone who is kind is both brave and not happy and vice versa.
Everyone who is both not generous and not curious is bot... | Mary is not strong. | neutral | (![X]:((~humble(X)|~strong(X))<=>(~happy(X)&kind(X))))&
(![X]:(curious(X)=>tall(X)))&
(![X]:((~patient(X)<~>quiet(X))=>(~creative(X)&~curious(X))))&
(![X]:(kind(X)<=>(brave(X)&~happy(X))))&
(![X]:((~generous(X)&~curious(X))<=>(patient(X)&~patient(X))))&
(![X]:((calm(X)<~>brave(X))<=>(~happy(X)&strong(X))))&
(![X]:((~pa... | ~strong(mary) | [] | null | 0 |
Everyone who is both creative and calm is not calm and vice versa. If someone is rich then mary is either rich or creative. Everyone who is either wise or not strong is humble or strong and vice versa. If lucy is humble or curious then someone is either not rich or old. Everyone who is both wise and tall is not wise or... | Fred is curious. | contradiction | (![X]:((creative(X)&calm(X))<=>~calm(X)))&
((?[X]:(rich(X)))=>((rich(mary)<~>creative(mary))))&
(![X]:((wise(X)<~>~strong(X))<=>(humble(X)|strong(X))))&
(((humble(lucy)|curious(lucy)))=>(?[X]:((~rich(X)<~>old(X)))))&
(![X]:((wise(X)&tall(X))<=>(~wise(X)|generous(X))))&
((?[X]:((~old(X)|~patient(X))))<=>(?[X]:((~quiet(X... | curious(fred) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3040209963135818486352659
% SZS output start Proof for 3040209963135818486352659
7. ! [X0] : ((~old(X0) & old(X0)) <=> (rich(X0) | brave(X0))) [input p6]
13. ! [X0] : ((~curious(X0) & ~old(X0)) <=> (generous(X0) | ~rich(X0))) [input p12]
22. curious(fred) [input hypothesis]
52. ! [X0] : (... | 0 |
Everyone who is not rich is either not humble or calm and vice versa.
If alice is calm then alice is both wise and quiet.
Everyone who is both not curious and happy is either old or not strong.
Everyone who is both kind and curious is not curious and vice versa.
Everyone who is either not patient or funny is both patie... | Mary is not old. | entailment | (![X]:(~rich(X)<=>(~humble(X)<~>calm(X))))&
((calm(alice))=>((wise(alice)&quiet(alice))))&
(![X]:((~curious(X)&happy(X))=>(old(X)<~>~strong(X))))&
(![X]:((kind(X)&curious(X))<=>~curious(X)))&
(![X]:((~patient(X)<~>funny(X))=>(patient(X)&brave(X))))&
(![X]:(~generous(X)=>(~brave(X)&~quiet(X))))&
((?[X]:((quiet(X)|~patie... | ~old(mary) | [
"p3",
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4850375565749626551898657
% SZS output start Proof for 4850375565749626551898657
4. ! [X0] : ((curious(X0) & kind(X0)) <=> ~curious(X0)) [input p3]
6. ! [X0] : (~generous(X0) => (~quiet(X0) & ~brave(X0))) [input p5]
10. ! [X0] : ((~generous(X0) & brave(X0)) <=> (~happy(X0) | ~generous(X0)... | 0 |
Everyone who is either strong or not calm is wise or not humble.
If paul is not generous or not strong then someone is both not humble and tall and vice versa.
Everyone who is either old or generous is either not calm or not creative and vice versa.
Everyone who is not patient or patient is both tall and not humble and... | John is curious. | entailment | (![X]:((strong(X)<~>~calm(X))=>(wise(X)|~humble(X))))&
(((~generous(paul)|~strong(paul)))<=>(?[X]:((~humble(X)&tall(X)))))&
(![X]:((old(X)<~>generous(X))<=>(~calm(X)<~>~creative(X))))&
(![X]:((~patient(X)|patient(X))<=>(tall(X)&~humble(X))))&
(![X]:((~tall(X)|kind(X))<=>~happy(X)))&
(![X]:((~curious(X)|happy(X))=>(stro... | curious(john) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4065375674340034784774675
% SZS output start Proof for 4065375674340034784774675
4. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (~humble(X0) & tall(X0))) [input p3]
6. ! [X0] : ((happy(X0) | ~curious(X0)) => (~tall(X0) & strong(X0))) [input p5]
24. ~curious(john) [input hypothesis]
29. ! [... | 0 |
If someone is quiet then someone is humble and vice versa.
Everyone who is not creative is both funny and not curious and vice versa.
Everyone who is strong is not funny and vice versa.
If someone is rich then paul is not humble or not tall and vice versa.
Everyone who is either not tall or not happy is either not tall... | John is not tall. | contradiction | ((?[X]:(quiet(X)))<=>(?[X]:(humble(X))))&
(![X]:(~creative(X)<=>(funny(X)&~curious(X))))&
(![X]:(strong(X)<=>~funny(X)))&
((?[X]:(rich(X)))<=>((~humble(paul)|~tall(paul))))&
(![X]:((~tall(X)<~>~happy(X))=>(~tall(X)<~>~curious(X))))&
((?[X]:((patient(X)<~>humble(X))))=>(?[X]:((~wise(X)|wise(X)))))&
(![X]:((~calm(X)|rich... | ~tall(john) | [
"p2",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2829299091955794497967552
% SZS output start Proof for 2829299091955794497967552
3. ! [X0] : (strong(X0) <=> ~funny(X0)) [input p2]
8. ! [X0] : ((~wise(X0) | funny(X0)) => tall(X0)) [input p7]
9. ! [X0] : (tall(X0) => (~creative(X0) & happy(X0))) [input p8]
12. ! [X0] : ((~old(X0) | ~tall... | 0 |
Everyone who is patient or not calm is not kind. If mary is not rich then mary is not happy or not patient and vice versa. Everyone who is both quiet and not rich is both not funny and rich. Everyone who is either not strong or patient is both not funny and not strong. If fred is patient or happy then lucy is rich or n... | Mary is not kind. | entailment | (![X]:((patient(X)|~calm(X))=>~kind(X)))&
((~rich(mary))<=>((~happy(mary)|~patient(mary))))&
(![X]:((quiet(X)&~rich(X))=>(~funny(X)&rich(X))))&
(![X]:((~strong(X)<~>patient(X))=>(~funny(X)&~strong(X))))&
(((patient(fred)|happy(fred)))<=>((rich(lucy)|~tall(lucy))))&
((quiet(paul))<=>(creative(alice)))&
((?[X]:(~funny(X)... | ~kind(mary) | [
"p0",
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1993194641293178154448482
% SZS output start Proof for 1993194641293178154448482
1. ! [X0] : ((~calm(X0) | patient(X0)) => ~kind(X0)) [input p0]
2. ~rich(mary) <=> (~patient(mary) | ~happy(mary)) [input p1]
12. ! [X0] : ((calm(X0) <~> ~patient(X0)) <=> (happy(X0) | ~rich(X0))) [input p11]... | 0 |
If someone is humble then alice is not curious or humble and vice versa.
If someone is either not tall or calm then paul is both funny and rich and vice versa.
If alice is kind then lucy is happy and vice versa.
If paul is not creative then fred is either quiet or not happy and vice versa.
Everyone who is both happy an... | Alice is not strong. | neutral | ((?[X]:(humble(X)))<=>((~curious(alice)|humble(alice))))&
((?[X]:((~tall(X)<~>calm(X))))<=>((funny(paul)&rich(paul))))&
((kind(alice))<=>(happy(lucy)))&
((~creative(paul))<=>((quiet(fred)<~>~happy(fred))))&
(![X]:((happy(X)&funny(X))<=>(happy(X)&strong(X))))&
((old(mary))=>(?[X]:((curious(X)|patient(X)))))&
(![X]:(stro... | ~strong(alice) | [] | null | 0 |
If someone is either curious or not humble then someone is not wise and vice versa.
If someone is not tall or not calm then susan is not happy.
If alice is both wise and not quiet then someone is wise and vice versa.
If someone is funny then lucy is either not happy or not tall and vice versa.
If someone is old then fr... | Fred is not creative. | contradiction | ((?[X]:((curious(X)<~>~humble(X))))<=>(?[X]:(~wise(X))))&
((?[X]:((~tall(X)|~calm(X))))=>(~happy(susan)))&
(((wise(alice)&~quiet(alice)))<=>(?[X]:(wise(X))))&
((?[X]:(funny(X)))<=>((~happy(lucy)<~>~tall(lucy))))&
((?[X]:(old(X)))=>((rich(fred)&~strong(fred))))&
(![X]:((~kind(X)|~generous(X))=>(old(X)&~generous(X))))&
(... | ~creative(fred) | [
"p4",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1688215651346650280344806
% SZS output start Proof for 1688215651346650280344806
5. ? [X0] : old(X0) => (~strong(fred) & rich(fred)) [input p4]
6. ! [X0] : ((~generous(X0) | ~kind(X0)) => (~generous(X0) & old(X0))) [input p5]
9. ! [X0] : ((~creative(X0) | patient(X0)) => (generous(X0) <~>... | 0 |
If someone is both not curious and funny then someone is both brave and not happy. Everyone who is not generous or not quiet is not creative or creative. Everyone who is both rich and not strong is funny and vice versa. Everyone who is both not funny and quiet is both not old and kind and vice versa. If mary is both wi... | Paul is not happy. | contradiction | ((?[X]:((~curious(X)&funny(X))))=>(?[X]:((brave(X)&~happy(X)))))&
(![X]:((~generous(X)|~quiet(X))=>(~creative(X)|creative(X))))&
(![X]:((rich(X)&~strong(X))<=>funny(X)))&
(![X]:((~funny(X)&quiet(X))<=>(~old(X)&kind(X))))&
(((wise(mary)&~humble(mary)))<=>(?[X]:(old(X))))&
(![X]:(happy(X)=>(patient(X)&~curious(X))))&
(((... | ~happy(paul) | [
"p0",
"p3",
"p5",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1327490806335159053441016
% SZS output start Proof for 1327490806335159053441016
1. ? [X0] : (funny(X0) & ~curious(X0)) => ? [X0] : (~happy(X0) & brave(X0)) [input p0]
4. ! [X0] : ((quiet(X0) & ~funny(X0)) <=> (kind(X0) & ~old(X0))) [input p3]
6. ! [X0] : (happy(X0) => (~curious(X0) & pat... | 0 |
Everyone who is patient or not strong is not strong and vice versa. Everyone who is either not wise or not quiet is both kind and tall and vice versa. If someone is both not curious and not quiet then someone is both not rich and patient and vice versa. If someone is both rich and not generous then someone is both quie... | John is not tall. | neutral | (![X]:((patient(X)|~strong(X))<=>~strong(X)))&
(![X]:((~wise(X)<~>~quiet(X))<=>(kind(X)&tall(X))))&
((?[X]:((~curious(X)&~quiet(X))))<=>(?[X]:((~rich(X)&patient(X)))))&
((?[X]:((rich(X)&~generous(X))))=>(?[X]:((quiet(X)&calm(X)))))&
(![X]:(~funny(X)<=>(~wise(X)<~>curious(X))))&
(![X]:((~kind(X)&~strong(X))<=>(~patient(... | ~tall(john) | [] | null | 0 |
Everyone who is kind or not curious is either creative or not rich.
Everyone who is strong is not patient or patient.
If susan is not patient or not humble then someone is both not tall and creative and vice versa.
Everyone who is wise is either not calm or not funny and vice versa.
Everyone who is not patient is eithe... | Mary is curious. | entailment | (![X]:((kind(X)|~curious(X))=>(creative(X)<~>~rich(X))))&
(![X]:(strong(X)=>(~patient(X)|patient(X))))&
(((~patient(susan)|~humble(susan)))<=>(?[X]:((~tall(X)&creative(X)))))&
(![X]:(wise(X)<=>(~calm(X)<~>~funny(X))))&
(![X]:(~patient(X)<=>(~old(X)<~>rich(X))))&
((?[X]:((~quiet(X)&~brave(X))))<=>((~patient(fred)|strong... | curious(mary) | [
"p0",
"p9",
"p10",
"p12",
"p15",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 993854583121084977909129
% SZS output start Proof for 993854583121084977909129
1. ! [X0] : ((~curious(X0) | kind(X0)) => (creative(X0) <~> ~rich(X0))) [input p0]
10. ? [X0] : (curious(X0) <~> creative(X0)) <=> (~old(paul) <~> ~quiet(paul)) [input p9]
11. ! [X0] : ((~quiet(X0) | ~wise(X0))... | 0 |
Everyone who is old is both quiet and brave.
Everyone who is both not wise and not generous is brave or patient.
If someone is not strong or not rich then someone is not calm.
Everyone who is not brave is wise.
If alice is old then someone is either rich or creative and vice versa.
If fred is not wise or tall then susa... | Lucy is curious. | entailment | (![X]:(old(X)=>(quiet(X)&brave(X))))&
(![X]:((~wise(X)&~generous(X))=>(brave(X)|patient(X))))&
((?[X]:((~strong(X)|~rich(X))))=>(?[X]:(~calm(X))))&
(![X]:(~brave(X)=>wise(X)))&
((old(alice))<=>(?[X]:((rich(X)<~>creative(X)))))&
(((~wise(fred)|tall(fred)))<=>((generous(susan)<~>calm(susan))))&
(![X]:((~happy(X)<~>~curio... | curious(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5066705286566450661395025
% SZS output start Proof for 5066705286566450661395025
17. curious(lucy) & ~humble(lucy) [input p16]
25. ~curious(lucy) [input hypothesis]
133. curious(lucy) [cnf transformation 17]
143. ~curious(lucy) [cnf transformation 25]
358. $false [subsumption resolution 1... | 0 |
Everyone who is either not curious or happy is generous or wise and vice versa.
Everyone who is not rich or not generous is not creative or not curious.
If someone is calm or kind then someone is patient or not calm and vice versa.
Everyone who is not tall is both not brave and humble.
If lucy is both funny and not tal... | Alice is brave. | entailment | (![X]:((~curious(X)<~>happy(X))<=>(generous(X)|wise(X))))&
(![X]:((~rich(X)|~generous(X))=>(~creative(X)|~curious(X))))&
((?[X]:((calm(X)|kind(X))))<=>(?[X]:((patient(X)|~calm(X)))))&
(![X]:(~tall(X)=>(~brave(X)&humble(X))))&
(((funny(lucy)&~tall(lucy)))<=>((~curious(alice)|~wise(alice))))&
(![X]:((curious(X)<~>~humble... | brave(alice) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p10",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4313612175446817589288045
% SZS output start Proof for 4313612175446817589288045
1. ! [X0] : ((~curious(X0) <~> happy(X0)) <=> (wise(X0) | generous(X0))) [input p0]
2. ! [X0] : ((~generous(X0) | ~rich(X0)) => (~curious(X0) | ~creative(X0))) [input p1]
4. ! [X0] : (~tall(X0) => (humble(X0)... | 0 |
If paul is either strong or creative then someone is either rich or not patient and vice versa. If mary is both quiet and not wise then susan is not generous and vice versa. If someone is brave then susan is either creative or calm and vice versa. If fred is not brave or brave then someone is strong and vice versa. If ... | Mary is not funny. | neutral | (((strong(paul)<~>creative(paul)))<=>(?[X]:((rich(X)<~>~patient(X)))))&
(((quiet(mary)&~wise(mary)))<=>(~generous(susan)))&
((?[X]:(brave(X)))<=>((creative(susan)<~>calm(susan))))&
(((~brave(fred)|brave(fred)))<=>(?[X]:(strong(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((~happy(X)<~>wise(X)))))&
((?[X]:((tall(X)&~wise(X))))<=>(... | ~funny(mary) | [] | null | 0 |
Everyone who is either quiet or not rich is both generous and not curious. If lucy is either rich or creative then someone is patient or strong. If lucy is either humble or not brave then someone is both strong and not wise. If paul is either calm or wise then susan is either funny or rich and vice versa. Everyone who ... | Paul is not quiet. | entailment | (![X]:((quiet(X)<~>~rich(X))=>(generous(X)&~curious(X))))&
(((rich(lucy)<~>creative(lucy)))=>(?[X]:((patient(X)|strong(X)))))&
(((humble(lucy)<~>~brave(lucy)))=>(?[X]:((strong(X)&~wise(X)))))&
(((calm(paul)<~>wise(paul)))<=>((funny(susan)<~>rich(susan))))&
(![X]:((strong(X)&creative(X))<=>(brave(X)|~happy(X))))&
(![X]:... | ~quiet(paul) | [
"p4",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 504919803558883025018390
% SZS output start Proof for 504919803558883025018390
5. ! [X0] : ((creative(X0) & strong(X0)) <=> (~happy(X0) | brave(X0))) [input p4]
6. ! [X0] : ((funny(X0) & ~funny(X0)) <=> ~tall(X0)) [input p5]
8. ~tall(mary) <=> ? [X0] : (~brave(X0) | ~rich(X0)) [input p7]
... | 0 |
If fred is both kind and curious then someone is happy or not generous.
If lucy is both not patient and happy then someone is both not brave and not generous.
Everyone who is not generous or old is not curious and vice versa.
Everyone who is tall or not happy is both quiet and brave and vice versa.
If john is not rich ... | Paul is calm. | contradiction | (((kind(fred)&curious(fred)))=>(?[X]:((happy(X)|~generous(X)))))&
(((~patient(lucy)&happy(lucy)))=>(?[X]:((~brave(X)&~generous(X)))))&
(![X]:((~generous(X)|old(X))<=>~curious(X)))&
(![X]:((tall(X)|~happy(X))<=>(quiet(X)&brave(X))))&
(((~rich(john)|~kind(john)))=>((tall(fred)<~>old(fred))))&
(![X]:((~strong(X)|calm(X))=... | calm(paul) | [
"p2",
"p5",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2457111504026833498634230
% SZS output start Proof for 2457111504026833498634230
3. ! [X0] : ((old(X0) | ~generous(X0)) <=> ~curious(X0)) [input p2]
6. ! [X0] : ((calm(X0) | ~strong(X0)) => (~creative(X0) & tall(X0))) [input p5]
11. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> (humble(X0) <~>... | 0 |
Everyone who is humble is not brave or happy and vice versa.
Everyone who is not strong is either calm or kind.
If alice is not curious or rich then someone is either generous or not brave and vice versa.
If someone is both not brave and not funny then someone is not kind and vice versa.
Everyone who is not wise or bra... | Alice is strong. | contradiction | (![X]:(humble(X)<=>(~brave(X)|happy(X))))&
(![X]:(~strong(X)=>(calm(X)<~>kind(X))))&
(((~curious(alice)|rich(alice)))<=>(?[X]:((generous(X)<~>~brave(X)))))&
((?[X]:((~brave(X)&~funny(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~wise(X)|brave(X))=>(quiet(X)|~funny(X))))&
(![X]:((~curious(X)&brave(X))<=>(~patient(X)|~calm(X))))&... | strong(alice) | [
"p4",
"p8",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 415332264124450381971727
% SZS output start Proof for 415332264124450381971727
5. ! [X0] : ((brave(X0) | ~wise(X0)) => (~funny(X0) | quiet(X0))) [input p4]
9. ! [X0] : ((calm(X0) | strong(X0)) => (funny(X0) & humble(X0))) [input p8]
12. ! [X0] : ((quiet(X0) & humble(X0)) <=> (~humble(X0) ... | 0 |
Everyone who is strong is strong or not patient.
If someone is happy then someone is not happy and vice versa.
Everyone who is not patient is both humble and funny and vice versa.
Everyone who is wise is either not tall or happy and vice versa.
If someone is not strong or not calm then fred is either not quiet or funny... | Susan is generous. | entailment | (![X]:(strong(X)=>(strong(X)|~patient(X))))&
((?[X]:(happy(X)))<=>(?[X]:(~happy(X))))&
(![X]:(~patient(X)<=>(humble(X)&funny(X))))&
(![X]:(wise(X)<=>(~tall(X)<~>happy(X))))&
((?[X]:((~strong(X)|~calm(X))))<=>((~quiet(fred)<~>funny(fred))))&
(![X]:((~quiet(X)&patient(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((kind(X)&funny... | generous(susan) | [
"p7",
"p8",
"p12",
"p15",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7968674473861177266623596
% SZS output start Proof for 7968674473861177266623596
8. ? [X0] : (kind(X0) | calm(X0)) <=> (funny(susan) <~> generous(susan)) [input p7]
9. ! [X0] : ((~funny(X0) <~> quiet(X0)) <=> ~quiet(X0)) [input p8]
13. ? [X0] : (~curious(X0) <~> calm(X0)) <=> ? [X0] : (fu... | 0 |
Everyone who is both old and curious is wise. Everyone who is both not rich and tall is both quiet and not strong and vice versa. If alice is both not kind and strong then john is both humble and not quiet and vice versa. If susan is kind or funny then someone is both not funny and wise and vice versa. If john is happy... | Fred is not funny. | neutral | (![X]:((old(X)&curious(X))=>wise(X)))&
(![X]:((~rich(X)&tall(X))<=>(quiet(X)&~strong(X))))&
(((~kind(alice)&strong(alice)))<=>((humble(john)&~quiet(john))))&
(((kind(susan)|funny(susan)))<=>(?[X]:((~funny(X)&wise(X)))))&
(((happy(john)|~brave(john)))<=>((~kind(susan)&~quiet(susan))))&
(![X]:((creative(X)|~curious(X))<=... | ~funny(fred) | [] | null | 0 |
If someone is either old or not rich then someone is not old.
If someone is creative then paul is both not tall and not kind.
If someone is both old and funny then someone is either not tall or not wise and vice versa.
If someone is both not wise and strong then paul is generous or curious.
Everyone who is both not ric... | Paul is quiet. | neutral | ((?[X]:((old(X)<~>~rich(X))))=>(?[X]:(~old(X))))&
((?[X]:(creative(X)))=>((~tall(paul)&~kind(paul))))&
((?[X]:((old(X)&funny(X))))<=>(?[X]:((~tall(X)<~>~wise(X)))))&
((?[X]:((~wise(X)&strong(X))))=>((generous(paul)|curious(paul))))&
(![X]:((~rich(X)&funny(X))<=>(~happy(X)<~>creative(X))))&
((~kind(susan))<=>(?[X]:((hap... | quiet(paul) | [] | null | 0 |
If someone is not wise or not rich then lucy is both not kind and not wise and vice versa.
If someone is both strong and funny then someone is rich or not creative and vice versa.
Everyone who is not tall or brave is both not happy and old.
Everyone who is either not tall or curious is not funny.
Everyone who is not cu... | John is funny. | neutral | ((?[X]:((~wise(X)|~rich(X))))<=>((~kind(lucy)&~wise(lucy))))&
((?[X]:((strong(X)&funny(X))))<=>(?[X]:((rich(X)|~creative(X)))))&
(![X]:((~tall(X)|brave(X))=>(~happy(X)&old(X))))&
(![X]:((~tall(X)<~>curious(X))=>~funny(X)))&
(![X]:(~curious(X)<=>(wise(X)<~>~kind(X))))&
((generous(john))=>(~patient(alice)))&
((?[X]:((gen... | funny(john) | [] | null | 0 |
If someone is old then someone is both happy and not creative and vice versa.
If alice is both not wise and happy then lucy is not generous or kind.
Everyone who is not happy is happy or not strong and vice versa.
If paul is either funny or not kind then fred is not kind.
If fred is funny then fred is humble and vice v... | Mary is quiet. | contradiction | ((?[X]:(old(X)))<=>(?[X]:((happy(X)&~creative(X)))))&
(((~wise(alice)&happy(alice)))=>((~generous(lucy)|kind(lucy))))&
(![X]:(~happy(X)<=>(happy(X)|~strong(X))))&
(((funny(paul)<~>~kind(paul)))=>(~kind(fred)))&
((funny(fred))<=>(humble(fred)))&
((?[X]:(strong(X)))<=>(?[X]:(funny(X))))&
((~rich(john))<=>((~old(lucy)&~fu... | quiet(mary) | [
"p2",
"p5",
"p8",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7646944502456780582156563
% SZS output start Proof for 7646944502456780582156563
3. ! [X0] : (~happy(X0) <=> (~strong(X0) | happy(X0))) [input p2]
6. ? [X0] : strong(X0) <=> ? [X0] : funny(X0) [input p5]
9. ? [X0] : (funny(X0) <~> rich(X0)) <=> (brave(john) & kind(john)) [input p8]
12. ! ... | 0 |
Everyone who is both not humble and not generous is both not old and not curious and vice versa.
If alice is either patient or funny then someone is both not wise and not funny.
If alice is both not kind and not funny then mary is not humble and vice versa.
Everyone who is not strong is curious.
Everyone who is either ... | Fred is happy. | neutral | (![X]:((~humble(X)&~generous(X))<=>(~old(X)&~curious(X))))&
(((patient(alice)<~>funny(alice)))=>(?[X]:((~wise(X)&~funny(X)))))&
(((~kind(alice)&~funny(alice)))<=>(~humble(mary)))&
(![X]:(~strong(X)=>curious(X)))&
(![X]:((brave(X)<~>~humble(X))=>(happy(X)<~>~rich(X))))&
(![X]:((~funny(X)<~>kind(X))=>(strong(X)&happy(X))... | happy(fred) | [] | null | 0 |
Everyone who is humble or wise is creative and vice versa.
Everyone who is either not strong or not creative is not calm.
Everyone who is both tall and quiet is not kind and vice versa.
If someone is both not tall and funny then paul is either curious or funny.
If susan is both rich and not calm then someone is not fun... | Susan is not strong. | contradiction | (![X]:((humble(X)|wise(X))<=>creative(X)))&
(![X]:((~strong(X)<~>~creative(X))=>~calm(X)))&
(![X]:((tall(X)&quiet(X))<=>~kind(X)))&
((?[X]:((~tall(X)&funny(X))))=>((curious(paul)<~>funny(paul))))&
(((rich(susan)&~calm(susan)))=>(?[X]:(~funny(X))))&
((?[X]:((~happy(X)|creative(X))))=>((~brave(alice)&brave(alice))))&
((?... | ~strong(susan) | [
"p0",
"p2",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1309304974811491277683071
% SZS output start Proof for 1309304974811491277683071
1. ! [X0] : ((wise(X0) | humble(X0)) <=> creative(X0)) [input p0]
3. ! [X0] : ((quiet(X0) & tall(X0)) <=> ~kind(X0)) [input p2]
6. ? [X0] : (creative(X0) | ~happy(X0)) => (brave(alice) & ~brave(alice)) [input... | 0 |
If someone is both not old and not humble then someone is kind or creative.
Everyone who is both kind and not generous is either generous or not generous and vice versa.
Everyone who is wise is either not generous or old and vice versa.
Everyone who is brave or not curious is generous.
Everyone who is not patient or cr... | Fred is patient. | neutral | ((?[X]:((~old(X)&~humble(X))))=>(?[X]:((kind(X)|creative(X)))))&
(![X]:((kind(X)&~generous(X))<=>(generous(X)<~>~generous(X))))&
(![X]:(wise(X)<=>(~generous(X)<~>old(X))))&
(![X]:((brave(X)|~curious(X))=>generous(X)))&
(![X]:((~patient(X)|creative(X))=>(happy(X)<~>wise(X))))&
(![X]:(curious(X)<=>(~kind(X)<~>~quiet(X)))... | patient(fred) | [] | null | 0 |
Everyone who is both funny and not wise is not curious or not old. Everyone who is rich is both not wise and not strong and vice versa. If someone is either generous or not wise then someone is tall and vice versa. If susan is not patient then lucy is either not strong or not happy. Everyone who is both rich and not fu... | Fred is kind. | neutral | (![X]:((funny(X)&~wise(X))=>(~curious(X)|~old(X))))&
(![X]:(rich(X)<=>(~wise(X)&~strong(X))))&
((?[X]:((generous(X)<~>~wise(X))))<=>(?[X]:(tall(X))))&
((~patient(susan))=>((~strong(lucy)<~>~happy(lucy))))&
(![X]:((rich(X)&~funny(X))<=>(rich(X)|~rich(X))))&
((?[X]:((quiet(X)<~>~strong(X))))<=>(?[X]:((~wise(X)<~>curious(... | kind(fred) | [] | null | 0 |
If mary is both happy and not happy then mary is both not rich and not calm and vice versa.
Everyone who is both not wise and generous is both not generous and old and vice versa.
Everyone who is quiet is either not generous or not calm and vice versa.
If fred is either not rich or not kind then susan is both old and n... | Alice is strong. | contradiction | (((happy(mary)&~happy(mary)))<=>((~rich(mary)&~calm(mary))))&
(![X]:((~wise(X)&generous(X))<=>(~generous(X)&old(X))))&
(![X]:(quiet(X)<=>(~generous(X)<~>~calm(X))))&
(((~rich(fred)<~>~kind(fred)))<=>((old(susan)&~old(susan))))&
((?[X]:((happy(X)<~>~curious(X))))=>(?[X]:((~brave(X)&brave(X)))))&
((?[X]:((~curious(X)|cre... | strong(alice) | [
"p1",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5717359431879688049574264
% SZS output start Proof for 5717359431879688049574264
2. ! [X0] : ((generous(X0) & ~wise(X0)) <=> (old(X0) & ~generous(X0))) [input p1]
10. ! [X0] : ((old(X0) & calm(X0)) <=> (curious(X0) | wise(X0))) [input p9]
12. ! [X0] : ((strong(X0) <~> ~generous(X0)) <=> ~... | 0 |
Everyone who is both not rich and generous is either funny or creative and vice versa.
Everyone who is either kind or calm is not humble and vice versa.
Everyone who is tall is both not kind and kind and vice versa.
If fred is either happy or old then susan is strong.
If someone is either not happy or not old then susa... | Paul is not humble. | neutral | (![X]:((~rich(X)&generous(X))<=>(funny(X)<~>creative(X))))&
(![X]:((kind(X)<~>calm(X))<=>~humble(X)))&
(![X]:(tall(X)<=>(~kind(X)&kind(X))))&
(((happy(fred)<~>old(fred)))=>(strong(susan)))&
((?[X]:((~happy(X)<~>~old(X))))<=>(calm(susan)))&
((?[X]:((~calm(X)|old(X))))<=>(?[X]:(funny(X))))&
(((~rich(alice)&~creative(alic... | ~humble(paul) | [] | null | 0 |
Everyone who is both funny and not wise is not curious or not old. Everyone who is rich is both not wise and not strong and vice versa. If someone is either generous or not wise then someone is tall and vice versa. If susan is not patient then lucy is either not strong or not happy. Everyone who is both rich and not fu... | Susan is funny. | contradiction | (![X]:((funny(X)&~wise(X))=>(~curious(X)|~old(X))))&
(![X]:(rich(X)<=>(~wise(X)&~strong(X))))&
((?[X]:((generous(X)<~>~wise(X))))<=>(?[X]:(tall(X))))&
((~patient(susan))=>((~strong(lucy)<~>~happy(lucy))))&
(![X]:((rich(X)&~funny(X))<=>(rich(X)|~rich(X))))&
((?[X]:((quiet(X)<~>~strong(X))))<=>(?[X]:((~wise(X)<~>curious(... | funny(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6124499770652950841535164
% SZS output start Proof for 6124499770652950841535164
5. ! [X0] : ((~funny(X0) & rich(X0)) <=> (~rich(X0) | rich(X0))) [input p4]
23. funny(susan) [input hypothesis]
49. ! [X0] : (((~funny(X0) & rich(X0)) | (rich(X0) & ~rich(X0))) & ((~rich(X0) | rich(X0)) | (fu... | 0 |
Everyone who is rich is kind or not generous.
Everyone who is either not tall or rich is calm or strong.
If fred is both funny and not curious then someone is not rich and vice versa.
If alice is both tall and not rich then mary is calm.
If someone is generous then susan is either strong or wise.
Everyone who is not ge... | Susan is not funny. | neutral | (![X]:(rich(X)=>(kind(X)|~generous(X))))&
(![X]:((~tall(X)<~>rich(X))=>(calm(X)|strong(X))))&
(((funny(fred)&~curious(fred)))<=>(?[X]:(~rich(X))))&
(((tall(alice)&~rich(alice)))=>(calm(mary)))&
((?[X]:(generous(X)))=>((strong(susan)<~>wise(susan))))&
(![X]:((~generous(X)|~funny(X))<=>(rich(X)|creative(X))))&
(((~wise(p... | ~funny(susan) | [] | null | 0 |
If lucy is not rich then susan is happy or not creative.
Everyone who is funny or calm is both wise and happy and vice versa.
If someone is either curious or not humble then susan is both not happy and happy.
Everyone who is both humble and not brave is creative or brave.
If mary is not wise then someone is not old and... | Alice is not tall. | contradiction | ((~rich(lucy))=>((happy(susan)|~creative(susan))))&
(![X]:((funny(X)|calm(X))<=>(wise(X)&happy(X))))&
((?[X]:((curious(X)<~>~humble(X))))=>((~happy(susan)&happy(susan))))&
(![X]:((humble(X)&~brave(X))=>(creative(X)|brave(X))))&
((~wise(mary))<=>(?[X]:(~old(X))))&
(![X]:((wise(X)<~>~strong(X))<=>(~curious(X)|curious(X))... | ~tall(alice) | [
"p1",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2769964757705422047311080
% SZS output start Proof for 2769964757705422047311080
2. ! [X0] : ((calm(X0) | funny(X0)) <=> (happy(X0) & wise(X0))) [input p1]
9. ! [X0] : ((~wise(X0) <~> generous(X0)) <=> (~funny(X0) & ~wise(X0))) [input p8]
10. ! [X0] : ((~wise(X0) & tall(X0)) <=> (tall(X0)... | 0 |
If someone is wise then mary is either not humble or funny. Everyone who is either not old or not humble is humble or brave. Everyone who is not curious is both not happy and strong and vice versa. If lucy is happy or tall then john is either not calm or tall and vice versa. Everyone who is not calm is generous and vic... | Mary is not quiet. | entailment | ((?[X]:(wise(X)))=>((~humble(mary)<~>funny(mary))))&
(![X]:((~old(X)<~>~humble(X))=>(humble(X)|brave(X))))&
(![X]:(~curious(X)<=>(~happy(X)&strong(X))))&
(((happy(lucy)|tall(lucy)))<=>((~calm(john)<~>tall(john))))&
(![X]:(~calm(X)<=>generous(X)))&
(![X]:((~tall(X)|~funny(X))<=>(rich(X)<~>~calm(X))))&
(![X]:((~kind(X)<~... | ~quiet(mary) | [
"p4",
"p5",
"p10",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4266765766469574277881479
% SZS output start Proof for 4266765766469574277881479
5. ! [X0] : (~calm(X0) <=> generous(X0)) [input p4]
6. ! [X0] : ((~funny(X0) | ~tall(X0)) <=> (rich(X0) <~> ~calm(X0))) [input p5]
11. (funny(fred) | ~calm(fred)) <=> (~kind(mary) & ~creative(mary)) [input p1... | 0 |
Everyone who is both not quiet and not brave is either not tall or brave.
Everyone who is either brave or calm is both not happy and generous and vice versa.
If someone is either not calm or not patient then john is not brave or kind.
If someone is both creative and calm then someone is either wise or curious and vice ... | John is strong. | neutral | (![X]:((~quiet(X)&~brave(X))=>(~tall(X)<~>brave(X))))&
(![X]:((brave(X)<~>calm(X))<=>(~happy(X)&generous(X))))&
((?[X]:((~calm(X)<~>~patient(X))))=>((~brave(john)|kind(john))))&
((?[X]:((creative(X)&calm(X))))<=>(?[X]:((wise(X)<~>curious(X)))))&
(((strong(mary)|creative(mary)))<=>((happy(fred)<~>creative(fred))))&
(((f... | strong(john) | [] | null | 0 |
Everyone who is either strong or creative is generous and vice versa.
Everyone who is both generous and not generous is not brave.
If someone is not patient then someone is both not strong and kind and vice versa.
Everyone who is both not calm and rich is happy and vice versa.
If someone is generous then lucy is not qu... | Lucy is quiet. | neutral | (![X]:((strong(X)<~>creative(X))<=>generous(X)))&
(![X]:((generous(X)&~generous(X))=>~brave(X)))&
((?[X]:(~patient(X)))<=>(?[X]:((~strong(X)&kind(X)))))&
(![X]:((~calm(X)&rich(X))<=>happy(X)))&
((?[X]:(generous(X)))<=>(~quiet(lucy)))&
(((curious(lucy)|~old(lucy)))=>((~creative(mary)|~humble(mary))))&
(![X]:((~curious(X... | quiet(lucy) | [] | null | 0 |
If alice is humble then john is not old.
If lucy is rich or calm then someone is curious and vice versa.
Everyone who is either not calm or old is either not creative or not calm and vice versa.
If someone is not wise then someone is not patient and vice versa.
If fred is rich then someone is both curious and not gener... | Susan is kind. | contradiction | ((humble(alice))=>(~old(john)))&
(((rich(lucy)|calm(lucy)))<=>(?[X]:(curious(X))))&
(![X]:((~calm(X)<~>old(X))<=>(~creative(X)<~>~calm(X))))&
((?[X]:(~wise(X)))<=>(?[X]:(~patient(X))))&
((rich(fred))=>(?[X]:((curious(X)&~generous(X)))))&
(![X]:(strong(X)=>(brave(X)|~curious(X))))&
(![X]:(creative(X)<=>(wise(X)&generous... | kind(susan) | [
"p3",
"p6",
"p7",
"p8",
"p9",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7673143338395583787346990
% SZS output start Proof for 7673143338395583787346990
4. ? [X0] : ~wise(X0) <=> ? [X0] : ~patient(X0) [input p3]
7. ! [X0] : (creative(X0) <=> (generous(X0) & wise(X0))) [input p6]
8. ? [X0] : (~humble(X0) | rich(X0)) => (quiet(susan) | ~kind(susan)) [input p7]
... | 0 |
If someone is creative then mary is either not creative or rich.
If someone is strong then paul is not strong and vice versa.
Everyone who is either not funny or not generous is wise and vice versa.
Everyone who is both calm and not wise is both not quiet and rich and vice versa.
If someone is not kind or kind then som... | Paul is not humble. | entailment | ((?[X]:(creative(X)))=>((~creative(mary)<~>rich(mary))))&
((?[X]:(strong(X)))<=>(~strong(paul)))&
(![X]:((~funny(X)<~>~generous(X))<=>wise(X)))&
(![X]:((calm(X)&~wise(X))<=>(~quiet(X)&rich(X))))&
((?[X]:((~kind(X)|kind(X))))<=>(?[X]:((~kind(X)|quiet(X)))))&
(![X]:((~old(X)&~kind(X))=>~strong(X)))&
(![X]:(~happy(X)<=>br... | ~humble(paul) | [
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2492276435394382967364817
% SZS output start Proof for 2492276435394382967364817
8. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (wise(X0) & kind(X0))) [input p7]
21. humble(paul) <~> wise(paul) [input p20]
24. humble(paul) [input hypothesis]
49. ! [X0] : ((((curious(X0) | ~curious(X0)) &... | 0 |
Everyone who is either kind or curious is not curious or not humble. Everyone who is not old is either not old or kind and vice versa. If someone is not humble then fred is calm or happy and vice versa. Everyone who is both not funny and happy is not funny and vice versa. If lucy is both wise and humble then someone is... | John is not generous. | neutral | (![X]:((kind(X)<~>curious(X))=>(~curious(X)|~humble(X))))&
(![X]:(~old(X)<=>(~old(X)<~>kind(X))))&
((?[X]:(~humble(X)))<=>((calm(fred)|happy(fred))))&
(![X]:((~funny(X)&happy(X))<=>~funny(X)))&
(((wise(lucy)&humble(lucy)))=>(?[X]:((quiet(X)&rich(X)))))&
(((wise(john)<~>~brave(john)))<=>((~generous(alice)<~>old(alice)))... | ~generous(john) | [] | null | 0 |
Everyone who is not funny is curious or rich and vice versa. If fred is rich then alice is not calm or quiet and vice versa. Everyone who is both not wise and quiet is old. If susan is funny or not humble then someone is either generous or tall and vice versa. If susan is not calm or generous then john is both not old ... | Alice is not curious. | contradiction | (![X]:(~funny(X)<=>(curious(X)|rich(X))))&
((rich(fred))<=>((~calm(alice)|quiet(alice))))&
(![X]:((~wise(X)&quiet(X))=>old(X)))&
(((funny(susan)|~humble(susan)))<=>(?[X]:((generous(X)<~>tall(X)))))&
(((~calm(susan)|generous(susan)))=>((~old(john)&tall(john))))&
(![X]:((happy(X)&kind(X))<=>~funny(X)))&
(![X]:((~funny(X)... | ~curious(alice) | [
"p0",
"p1",
"p5",
"p7",
"p8",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2374979391647312531920116
% SZS output start Proof for 2374979391647312531920116
1. ! [X0] : (~funny(X0) <=> (rich(X0) | curious(X0))) [input p0]
2. rich(fred) <=> (quiet(alice) | ~calm(alice)) [input p1]
6. ! [X0] : ((kind(X0) & happy(X0)) <=> ~funny(X0)) [input p5]
8. ! [X0] : ((happy(X... | 0 |
Everyone who is both curious and not rich is both not tall and tall and vice versa.
Everyone who is both not quiet and not creative is either quiet or not kind and vice versa.
Everyone who is not strong or not calm is either not brave or not rich.
If paul is either not generous or curious then someone is both kind and ... | Susan is not generous. | entailment | (![X]:((curious(X)&~rich(X))<=>(~tall(X)&tall(X))))&
(![X]:((~quiet(X)&~creative(X))<=>(quiet(X)<~>~kind(X))))&
(![X]:((~strong(X)|~calm(X))=>(~brave(X)<~>~rich(X))))&
(((~generous(paul)<~>curious(paul)))=>(?[X]:((kind(X)&humble(X)))))&
(![X]:((creative(X)|~funny(X))=>(~generous(X)&old(X))))&
((~rich(lucy))=>(?[X]:((~g... | ~generous(susan) | [
"p4",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5261990473513362805942571
% SZS output start Proof for 5261990473513362805942571
5. ! [X0] : ((~funny(X0) | creative(X0)) => (old(X0) & ~generous(X0))) [input p4]
21. ~strong(susan) & ~funny(susan) [input p20]
25. generous(susan) [input hypothesis]
29. ! [X0] : ((old(X0) & ~generous(X0)) ... | 0 |
If someone is strong or not quiet then someone is not funny or tall and vice versa.
If someone is either not old or not creative then mary is either not happy or not quiet.
If susan is both not happy and funny then john is patient and vice versa.
If someone is not curious then someone is not wise.
Everyone who is eithe... | John is not brave. | neutral | ((?[X]:((strong(X)|~quiet(X))))<=>(?[X]:((~funny(X)|tall(X)))))&
((?[X]:((~old(X)<~>~creative(X))))=>((~happy(mary)<~>~quiet(mary))))&
(((~happy(susan)&funny(susan)))<=>(patient(john)))&
((?[X]:(~curious(X)))=>(?[X]:(~wise(X))))&
(![X]:((strong(X)<~>~calm(X))=>(rich(X)<~>~wise(X))))&
(![X]:((humble(X)|rich(X))<=>(wise(... | ~brave(john) | [] | null | 0 |
If lucy is either curious or not patient then someone is strong or generous and vice versa.
Everyone who is not calm or quiet is either curious or kind.
If someone is wise then lucy is wise and vice versa.
Everyone who is both not tall and not humble is both not wise and not creative and vice versa.
Everyone who is not... | Lucy is brave. | contradiction | (((curious(lucy)<~>~patient(lucy)))<=>(?[X]:((strong(X)|generous(X)))))&
(![X]:((~calm(X)|quiet(X))=>(curious(X)<~>kind(X))))&
((?[X]:(wise(X)))<=>(wise(lucy)))&
(![X]:((~tall(X)&~humble(X))<=>(~wise(X)&~creative(X))))&
(![X]:(~patient(X)<=>(generous(X)&humble(X))))&
((?[X]:((~brave(X)&~calm(X))))<=>(?[X]:((~brave(X)<~... | brave(lucy) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1058465413748735657832953
% SZS output start Proof for 1058465413748735657832953
2. ! [X0] : ((quiet(X0) | ~calm(X0)) => (curious(X0) <~> kind(X0))) [input p1]
3. ? [X0] : wise(X0) <=> wise(lucy) [input p2]
4. ! [X0] : ((~humble(X0) & ~tall(X0)) <=> (~creative(X0) & ~wise(X0))) [input p3]... | 0 |
If john is both not happy and creative then someone is both not old and curious and vice versa.
If someone is funny then john is both curious and not curious and vice versa.
Everyone who is wise or tall is both not old and not funny and vice versa.
Everyone who is both not quiet and not generous is both humble and wise... | Alice is not generous. | contradiction | (((~happy(john)&creative(john)))<=>(?[X]:((~old(X)&curious(X)))))&
((?[X]:(funny(X)))<=>((curious(john)&~curious(john))))&
(![X]:((wise(X)|tall(X))<=>(~old(X)&~funny(X))))&
(![X]:((~quiet(X)&~generous(X))<=>(humble(X)&wise(X))))&
(![X]:(~wise(X)<=>generous(X)))&
(![X]:(humble(X)<=>(~quiet(X)&~kind(X))))&
((?[X]:((~happ... | ~generous(alice) | [
"p2",
"p4",
"p6",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 209327869684281861862112
% SZS output start Proof for 209327869684281861862112
3. ! [X0] : ((tall(X0) | wise(X0)) <=> (~funny(X0) & ~old(X0))) [input p2]
5. ! [X0] : (~wise(X0) <=> generous(X0)) [input p4]
7. ? [X0] : (~happy(X0) <~> old(X0)) <=> (happy(alice) & old(alice)) [input p6]
11.... | 0 |
Everyone who is either curious or patient is either not brave or wise. Everyone who is either curious or not patient is not old or quiet and vice versa. Everyone who is both creative and generous is either not patient or rich and vice versa. Everyone who is quiet or calm is either not tall or patient. Everyone who is b... | Susan is not generous. | contradiction | (![X]:((curious(X)<~>patient(X))=>(~brave(X)<~>wise(X))))&
(![X]:((curious(X)<~>~patient(X))<=>(~old(X)|quiet(X))))&
(![X]:((creative(X)&generous(X))<=>(~patient(X)<~>rich(X))))&
(![X]:((quiet(X)|calm(X))=>(~tall(X)<~>patient(X))))&
(![X]:((funny(X)&~funny(X))<=>(happy(X)<~>strong(X))))&
((?[X]:(~patient(X)))=>(?[X]:((... | ~generous(susan) | [
"p1",
"p2",
"p3",
"p4",
"p8",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8482667333688126510269232
% SZS output start Proof for 8482667333688126510269232
2. ! [X0] : ((curious(X0) <~> ~patient(X0)) <=> (quiet(X0) | ~old(X0))) [input p1]
3. ! [X0] : ((generous(X0) & creative(X0)) <=> (~patient(X0) <~> rich(X0))) [input p2]
4. ! [X0] : ((calm(X0) | quiet(X0)) =>... | 0 |
If someone is not humble or humble then john is both funny and calm.
Everyone who is humble is tall or not humble and vice versa.
Everyone who is not brave is not brave or not strong.
Everyone who is both not quiet and not old is both not calm and not creative.
Everyone who is not strong is calm and vice versa.
Everyon... | Lucy is not kind. | neutral | ((?[X]:((~humble(X)|humble(X))))=>((funny(john)&calm(john))))&
(![X]:(humble(X)<=>(tall(X)|~humble(X))))&
(![X]:(~brave(X)=>(~brave(X)|~strong(X))))&
(![X]:((~quiet(X)&~old(X))=>(~calm(X)&~creative(X))))&
(![X]:(~strong(X)<=>calm(X)))&
(![X]:((tall(X)|~strong(X))=>creative(X)))&
((~strong(alice))=>((humble(john)&~curio... | ~kind(lucy) | [] | null | 0 |
If susan is creative then someone is both not quiet and not calm.
Everyone who is either not humble or curious is old or wise.
If fred is both generous and curious then alice is not creative.
Everyone who is not quiet or kind is humble or not humble.
If someone is not patient then alice is either not brave or not creat... | Susan is not calm. | neutral | ((creative(susan))=>(?[X]:((~quiet(X)&~calm(X)))))&
(![X]:((~humble(X)<~>curious(X))=>(old(X)|wise(X))))&
(((generous(fred)&curious(fred)))=>(~creative(alice)))&
(![X]:((~quiet(X)|kind(X))=>(humble(X)|~humble(X))))&
((?[X]:(~patient(X)))=>((~brave(alice)<~>~creative(alice))))&
((?[X]:(~brave(X)))=>(?[X]:(~funny(X))))&
... | ~calm(susan) | [] | null | 0 |
Everyone who is not kind is calm or patient and vice versa. Everyone who is not rich or not humble is both strong and tall and vice versa. If someone is both wise and curious then someone is wise. Everyone who is both calm and not wise is both tall and brave and vice versa. Everyone who is not kind or old is either bra... | Susan is not humble. | contradiction | (![X]:(~kind(X)<=>(calm(X)|patient(X))))&
(![X]:((~rich(X)|~humble(X))<=>(strong(X)&tall(X))))&
((?[X]:((wise(X)&curious(X))))=>(?[X]:(wise(X))))&
(![X]:((calm(X)&~wise(X))<=>(tall(X)&brave(X))))&
(![X]:((~kind(X)|old(X))=>(brave(X)<~>~rich(X))))&
((~patient(susan))=>((brave(alice)|generous(alice))))&
(![X]:((curious(X... | ~humble(susan) | [
"p1",
"p6",
"p7",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3373610038536492329631745
% SZS output start Proof for 3373610038536492329631745
2. ! [X0] : ((~humble(X0) | ~rich(X0)) <=> (tall(X0) & strong(X0))) [input p1]
7. ! [X0] : ((old(X0) & curious(X0)) <=> (~humble(X0) <~> wise(X0))) [input p6]
8. ! [X0] : ((old(X0) & tall(X0)) <=> (wise(X0) &... | 0 |
Everyone who is both not funny and curious is not quiet or humble and vice versa.
If susan is creative then someone is either not funny or creative.
Everyone who is both not quiet and not calm is both not calm and patient.
If someone is either not brave or creative then someone is calm.
If someone is either rich or hap... | Paul is old. | neutral | (![X]:((~funny(X)&curious(X))<=>(~quiet(X)|humble(X))))&
((creative(susan))=>(?[X]:((~funny(X)<~>creative(X)))))&
(![X]:((~quiet(X)&~calm(X))=>(~calm(X)&patient(X))))&
((?[X]:((~brave(X)<~>creative(X))))=>(?[X]:(calm(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>((~calm(fred)&~kind(fred))))&
(![X]:((~wise(X)&~generous(X))=>(... | old(paul) | [] | null | 0 |
Everyone who is not tall is calm or not brave and vice versa.
Everyone who is tall is both humble and not funny and vice versa.
If someone is not calm then john is not curious.
If someone is curious then someone is both not old and kind.
Everyone who is brave or generous is both not quiet and not wise and vice versa.
I... | Lucy is generous. | contradiction | (![X]:(~tall(X)<=>(calm(X)|~brave(X))))&
(![X]:(tall(X)<=>(humble(X)&~funny(X))))&
((?[X]:(~calm(X)))=>(~curious(john)))&
((?[X]:(curious(X)))=>(?[X]:((~old(X)&kind(X)))))&
(![X]:((brave(X)|generous(X))<=>(~quiet(X)&~wise(X))))&
(((kind(alice)<~>generous(alice)))<=>(?[X]:((~curious(X)&funny(X)))))&
((?[X]:(generous(X))... | generous(lucy) | [
"p4",
"p7",
"p10",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6860686587061404846659876
% SZS output start Proof for 6860686587061404846659876
5. ! [X0] : ((generous(X0) | brave(X0)) <=> (~wise(X0) & ~quiet(X0))) [input p4]
8. ! [X0] : ((kind(X0) | ~happy(X0)) <=> (~tall(X0) | happy(X0))) [input p7]
11. ! [X0] : ((~happy(X0) <~> quiet(X0)) => ~brave... | 0 |
If someone is either not old or not funny then susan is not humble. If susan is not wise or quiet then susan is both not kind and creative. Everyone who is not patient is either generous or kind and vice versa. Everyone who is both not tall and curious is old or not kind and vice versa. Everyone who is both not funny a... | Paul is curious. | entailment | ((?[X]:((~old(X)<~>~funny(X))))=>(~humble(susan)))&
(((~wise(susan)|quiet(susan)))=>((~kind(susan)&creative(susan))))&
(![X]:(~patient(X)<=>(generous(X)<~>kind(X))))&
(![X]:((~tall(X)&curious(X))<=>(old(X)|~kind(X))))&
(![X]:((~funny(X)&rich(X))=>(~calm(X)<~>~brave(X))))&
(![X]:((generous(X)|~happy(X))=>(~strong(X)&~ca... | curious(paul) | [
"p2",
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 607242998438445372927969
% SZS output start Proof for 607242998438445372927969
3. ! [X0] : (~patient(X0) <=> (generous(X0) <~> kind(X0))) [input p2]
4. ! [X0] : ((curious(X0) & ~tall(X0)) <=> (~kind(X0) | old(X0))) [input p3]
17. ~generous(paul) <~> ~patient(paul) [input p16]
25. ~curious... | 0 |
If someone is either not brave or rich then someone is not old or not quiet.
If someone is not patient or tall then someone is both happy and strong and vice versa.
Everyone who is either not wise or not rich is not creative or brave and vice versa.
If lucy is not curious then someone is not calm.
Everyone who is not p... | Paul is not funny. | entailment | ((?[X]:((~brave(X)<~>rich(X))))=>(?[X]:((~old(X)|~quiet(X)))))&
((?[X]:((~patient(X)|tall(X))))<=>(?[X]:((happy(X)&strong(X)))))&
(![X]:((~wise(X)<~>~rich(X))<=>(~creative(X)|brave(X))))&
((~curious(lucy))=>(?[X]:(~calm(X))))&
(![X]:((~patient(X)|~brave(X))=>(~happy(X)&~funny(X))))&
(![X]:((quiet(X)|calm(X))=>generous(... | ~funny(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 898247229407201038429438
% SZS output start Proof for 898247229407201038429438
7. ! [X0] : (funny(X0) => (~funny(X0) & strong(X0))) [input p6]
23. funny(paul) [input hypothesis]
33. ! [X0] : ((~funny(X0) & strong(X0)) | ~funny(X0)) [ennf transformation 7]
97. ~funny(X0) | ~funny(X0) [cnf ... | 0 |
Everyone who is both tall and brave is both not creative and not rich and vice versa.
Everyone who is kind is not strong.
If fred is wise then mary is both wise and not brave.
Everyone who is both not happy and quiet is either calm or not old and vice versa.
If someone is either not generous or funny then someone is ei... | John is happy. | contradiction | (![X]:((tall(X)&brave(X))<=>(~creative(X)&~rich(X))))&
(![X]:(kind(X)=>~strong(X)))&
((wise(fred))=>((wise(mary)&~brave(mary))))&
(![X]:((~happy(X)&quiet(X))<=>(calm(X)<~>~old(X))))&
((?[X]:((~generous(X)<~>funny(X))))=>(?[X]:((patient(X)<~>~strong(X)))))&
(![X]:((~quiet(X)|~humble(X))<=>(~humble(X)&strong(X))))&
(![X]... | happy(john) | [
"p1",
"p3",
"p5",
"p6",
"p7",
"p10",
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1600597314474337096800547
% SZS output start Proof for 1600597314474337096800547
2. ! [X0] : (kind(X0) => ~strong(X0)) [input p1]
4. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (calm(X0) <~> ~old(X0))) [input p3]
6. ! [X0] : ((~humble(X0) | ~quiet(X0)) <=> (strong(X0) & ~humble(X0))) [input p5... | 0 |
If alice is not wise then lucy is humble or not strong and vice versa. Everyone who is rich is not humble or wise and vice versa. Everyone who is wise is either not kind or not patient and vice versa. Everyone who is either not strong or not tall is either not strong or not calm and vice versa. Everyone who is not pati... | Alice is creative. | contradiction | ((~wise(alice))<=>((humble(lucy)|~strong(lucy))))&
(![X]:(rich(X)<=>(~humble(X)|wise(X))))&
(![X]:(wise(X)<=>(~kind(X)<~>~patient(X))))&
(![X]:((~strong(X)<~>~tall(X))<=>(~strong(X)<~>~calm(X))))&
(![X]:((~patient(X)|~calm(X))=>(rich(X)|tall(X))))&
(![X]:(kind(X)<=>(~generous(X)|~quiet(X))))&
((?[X]:((~generous(X)<~>ri... | creative(alice) | [
"p1",
"p3",
"p7",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8469469742386921705538657
% SZS output start Proof for 8469469742386921705538657
2. ! [X0] : (rich(X0) <=> (wise(X0) | ~humble(X0))) [input p1]
4. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> (~strong(X0) <~> ~calm(X0))) [input p3]
8. ! [X0] : ((~rich(X0) | wise(X0)) => (~creative(X0) & wise... | 0 |
Everyone who is either wise or not wise is rich and vice versa.
Everyone who is tall or not wise is both tall and kind.
If someone is rich or not brave then someone is patient or humble and vice versa.
If someone is not generous then someone is both old and curious.
Everyone who is both brave and funny is both not old ... | Fred is creative. | neutral | (![X]:((wise(X)<~>~wise(X))<=>rich(X)))&
(![X]:((tall(X)|~wise(X))=>(tall(X)&kind(X))))&
((?[X]:((rich(X)|~brave(X))))<=>(?[X]:((patient(X)|humble(X)))))&
((?[X]:(~generous(X)))=>(?[X]:((old(X)&curious(X)))))&
(![X]:((brave(X)&funny(X))=>(~old(X)&tall(X))))&
((brave(fred))<=>((~funny(paul)&~creative(paul))))&
(![X]:(~h... | creative(fred) | [] | null | 0 |
Everyone who is generous is happy. Everyone who is not quiet or not kind is not rich or quiet and vice versa. Everyone who is generous or tall is patient or creative and vice versa. If someone is both old and quiet then alice is both not old and humble and vice versa. Everyone who is happy is not brave and vice versa. ... | Mary is kind. | contradiction | (![X]:(generous(X)=>happy(X)))&
(![X]:((~quiet(X)|~kind(X))<=>(~rich(X)|quiet(X))))&
(![X]:((generous(X)|tall(X))<=>(patient(X)|creative(X))))&
((?[X]:((old(X)&quiet(X))))<=>((~old(alice)&humble(alice))))&
(![X]:(happy(X)<=>~brave(X)))&
(((brave(alice)&~kind(alice)))=>((~tall(john)&~strong(john))))&
(![X]:(~funny(X)=>(... | kind(mary) | [
"p1",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 67937504849187102670098
% SZS output start Proof for 67937504849187102670098
2. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> (quiet(X0) | ~rich(X0))) [input p1]
10. ! [X0] : ((~rich(X0) | ~wise(X0)) => ~creative(X0)) [input p9]
20. creative(mary) & calm(mary) [input p19]
25. kind(mary) [input h... | 0 |
Everyone who is either not funny or old is both not happy and quiet and vice versa.
If someone is not funny then someone is both not brave and humble and vice versa.
If someone is patient or not funny then paul is both not rich and not calm and vice versa.
Everyone who is both kind and not generous is tall.
If alice is... | John is funny. | neutral | (![X]:((~funny(X)<~>old(X))<=>(~happy(X)&quiet(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((~brave(X)&humble(X)))))&
((?[X]:((patient(X)|~funny(X))))<=>((~rich(paul)&~calm(paul))))&
(![X]:((kind(X)&~generous(X))=>tall(X)))&
(((patient(alice)<~>~tall(alice)))<=>(?[X]:((old(X)<~>patient(X)))))&
((?[X]:((tall(X)&curious(X))))=>(?... | funny(john) | [] | null | 0 |
If susan is either funny or calm then someone is either not strong or generous and vice versa.
Everyone who is not funny is both not patient and not humble.
Everyone who is brave or not patient is curious and vice versa.
Everyone who is both tall and calm is either funny or not tall.
Everyone who is not kind or not qui... | Lucy is brave. | neutral | (((funny(susan)<~>calm(susan)))<=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:(~funny(X)=>(~patient(X)&~humble(X))))&
(![X]:((brave(X)|~patient(X))<=>curious(X)))&
(![X]:((tall(X)&calm(X))=>(funny(X)<~>~tall(X))))&
(![X]:((~kind(X)|~quiet(X))=>(generous(X)|quiet(X))))&
(![X]:((calm(X)<~>~calm(X))=>(~wise(X)|funny(X))))... | brave(lucy) | [] | null | 0 |
Everyone who is either creative or not rich is both not calm and creative and vice versa.
Everyone who is brave is not calm and vice versa.
If fred is either not tall or old then lucy is not humble.
If mary is creative or brave then john is both not patient and calm and vice versa.
Everyone who is either old or happy i... | Mary is rich. | neutral | (![X]:((creative(X)<~>~rich(X))<=>(~calm(X)&creative(X))))&
(![X]:(brave(X)<=>~calm(X)))&
(((~tall(fred)<~>old(fred)))=>(~humble(lucy)))&
(((creative(mary)|brave(mary)))<=>((~patient(john)&calm(john))))&
(![X]:((old(X)<~>happy(X))=>(~tall(X)&calm(X))))&
(![X]:((kind(X)|~strong(X))=>(tall(X)|~rich(X))))&
((?[X]:((genero... | rich(mary) | [] | null | 0 |
Everyone who is tall is both not tall and not creative and vice versa. If someone is not kind or not happy then john is both calm and happy and vice versa. If someone is not strong or curious then someone is either not tall or curious and vice versa. If alice is both not kind and not rich then someone is either not wis... | Alice is wise. | neutral | (![X]:(tall(X)<=>(~tall(X)&~creative(X))))&
((?[X]:((~kind(X)|~happy(X))))<=>((calm(john)&happy(john))))&
((?[X]:((~strong(X)|curious(X))))<=>(?[X]:((~tall(X)<~>curious(X)))))&
(((~kind(alice)&~rich(alice)))=>(?[X]:((~wise(X)<~>tall(X)))))&
(((~curious(fred)&~quiet(fred)))=>(?[X]:((strong(X)|~rich(X)))))&
(![X]:((~brav... | wise(alice) | [] | null | 0 |
Everyone who is not kind is tall or strong and vice versa. If someone is not patient or patient then someone is tall or brave. If susan is not wise or not curious then fred is both creative and not humble. Everyone who is both not brave and quiet is brave and vice versa. Everyone who is either kind or not patient is bo... | Paul is not calm. | entailment | (![X]:(~kind(X)<=>(tall(X)|strong(X))))&
((?[X]:((~patient(X)|patient(X))))=>(?[X]:((tall(X)|brave(X)))))&
(((~wise(susan)|~curious(susan)))=>((creative(fred)&~humble(fred))))&
(![X]:((~brave(X)&quiet(X))<=>brave(X)))&
(![X]:((kind(X)<~>~patient(X))<=>(curious(X)&funny(X))))&
(![X]:((old(X)<~>curious(X))<=>calm(X)))&
(... | ~calm(paul) | [
"p4",
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5606146006914407641685057
% SZS output start Proof for 5606146006914407641685057
5. ! [X0] : ((kind(X0) <~> ~patient(X0)) <=> (funny(X0) & curious(X0))) [input p4]
6. ! [X0] : ((old(X0) <~> curious(X0)) <=> calm(X0)) [input p5]
13. ! [X0] : ((~calm(X0) | ~old(X0)) => old(X0)) [input p12]
... | 0 |
Everyone who is generous is both creative and not old.
Everyone who is not tall is either not creative or not quiet and vice versa.
Everyone who is both generous and funny is either not tall or patient and vice versa.
Everyone who is not kind or quiet is calm and vice versa.
Everyone who is either creative or strong is... | John is funny. | neutral | (![X]:(generous(X)=>(creative(X)&~old(X))))&
(![X]:(~tall(X)<=>(~creative(X)<~>~quiet(X))))&
(![X]:((generous(X)&funny(X))<=>(~tall(X)<~>patient(X))))&
(![X]:((~kind(X)|quiet(X))<=>calm(X)))&
(![X]:((creative(X)<~>strong(X))<=>(calm(X)|~happy(X))))&
(![X]:((~patient(X)<~>generous(X))=>calm(X)))&
(![X]:(~old(X)=>(~wise(... | funny(john) | [] | null | 0 |
Everyone who is either quiet or not wise is either kind or not brave. Everyone who is both not kind and not brave is creative and vice versa. If lucy is either creative or not kind then someone is both funny and not funny. Everyone who is not tall is not humble and vice versa. If someone is either not tall or not stron... | Mary is kind. | entailment | (![X]:((quiet(X)<~>~wise(X))=>(kind(X)<~>~brave(X))))&
(![X]:((~kind(X)&~brave(X))<=>creative(X)))&
(((creative(lucy)<~>~kind(lucy)))=>(?[X]:((funny(X)&~funny(X)))))&
(![X]:(~tall(X)<=>~humble(X)))&
((?[X]:((~tall(X)<~>~strong(X))))<=>((happy(alice)|generous(alice))))&
(![X]:(~curious(X)=>~strong(X)))&
((?[X]:(wise(X))... | kind(mary) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8995329876258721518273911
% SZS output start Proof for 8995329876258721518273911
2. ! [X0] : ((~brave(X0) & ~kind(X0)) <=> creative(X0)) [input p1]
9. ! [X0] : (~brave(X0) <=> ~creative(X0)) [input p8]
24. ~kind(mary) [input hypothesis]
37. ! [X0] : (((~brave(X0) & ~kind(X0)) | ~creative(... | 0 |
Everyone who is either happy or wise is both happy and not old.
Everyone who is happy or rich is not patient.
Everyone who is either humble or patient is rich or kind and vice versa.
Everyone who is brave is both kind and patient.
Everyone who is either brave or funny is kind or patient and vice versa.
Everyone who is ... | Mary is funny. | contradiction | (![X]:((happy(X)<~>wise(X))=>(happy(X)&~old(X))))&
(![X]:((happy(X)|rich(X))=>~patient(X)))&
(![X]:((humble(X)<~>patient(X))<=>(rich(X)|kind(X))))&
(![X]:(brave(X)=>(kind(X)&patient(X))))&
(![X]:((brave(X)<~>funny(X))<=>(kind(X)|patient(X))))&
(![X]:((kind(X)|brave(X))=>(patient(X)&~brave(X))))&
((?[X]:((patient(X)&~ca... | funny(mary) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3563265318642236105812600
% SZS output start Proof for 3563265318642236105812600
1. ! [X0] : ((happy(X0) <~> wise(X0)) => (~old(X0) & happy(X0))) [input p0]
2. ! [X0] : ((rich(X0) | happy(X0)) => ~patient(X0)) [input p1]
4. ! [X0] : (brave(X0) => (patient(X0) & kind(X0))) [input p3]
5. ! ... | 0 |
If someone is both brave and generous then someone is either rich or not quiet and vice versa.
If mary is either not curious or wise then paul is not brave.
Everyone who is wise is both not tall and funny.
Everyone who is happy is either not patient or not quiet and vice versa.
Everyone who is both not old and not gene... | Fred is not quiet. | neutral | ((?[X]:((brave(X)&generous(X))))<=>(?[X]:((rich(X)<~>~quiet(X)))))&
(((~curious(mary)<~>wise(mary)))=>(~brave(paul)))&
(![X]:(wise(X)=>(~tall(X)&funny(X))))&
(![X]:(happy(X)<=>(~patient(X)<~>~quiet(X))))&
(![X]:((~old(X)&~generous(X))=>(~calm(X)&~curious(X))))&
(![X]:((funny(X)|~generous(X))<=>~brave(X)))&
(![X]:((crea... | ~quiet(fred) | [] | null | 0 |
Everyone who is happy or funny is both patient and not happy.
Everyone who is old or not quiet is not wise.
Everyone who is kind or not wise is both kind and not wise.
Everyone who is not strong or not rich is both not brave and not humble.
Everyone who is either not happy or generous is either humble or generous and v... | Lucy is not strong. | contradiction | (![X]:((happy(X)|funny(X))=>(patient(X)&~happy(X))))&
(![X]:((old(X)|~quiet(X))=>~wise(X)))&
(![X]:((kind(X)|~wise(X))=>(kind(X)&~wise(X))))&
(![X]:((~strong(X)|~rich(X))=>(~brave(X)&~humble(X))))&
(![X]:((~happy(X)<~>generous(X))<=>(humble(X)<~>generous(X))))&
(![X]:((~quiet(X)<~>strong(X))<=>~happy(X)))&
(((patient(p... | ~strong(lucy) | [
"p0",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3740185060063699753326171
% SZS output start Proof for 3740185060063699753326171
1. ! [X0] : ((funny(X0) | happy(X0)) => (~happy(X0) & patient(X0))) [input p0]
4. ! [X0] : ((~rich(X0) | ~strong(X0)) => (~humble(X0) & ~brave(X0))) [input p3]
5. ! [X0] : ((~happy(X0) <~> generous(X0)) <=> (... | 0 |
Everyone who is both patient and not strong is either not wise or not strong and vice versa.
Everyone who is either wise or not patient is curious or not calm.
If someone is both wise and not curious then someone is either curious or humble.
Everyone who is either patient or not kind is both not brave and not creative.... | Fred is not tall. | contradiction | (![X]:((patient(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((wise(X)<~>~patient(X))=>(curious(X)|~calm(X))))&
((?[X]:((wise(X)&~curious(X))))=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((patient(X)<~>~kind(X))=>(~brave(X)&~creative(X))))&
(((humble(susan)&happy(susan)))<=>(?[X]:((calm(X)|~curious(X)))))&
(![X]:(... | ~tall(fred) | [
"p0",
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8194865602770904779203780
% SZS output start Proof for 8194865602770904779203780
1. ! [X0] : ((~strong(X0) & patient(X0)) <=> (~wise(X0) <~> ~strong(X0))) [input p0]
8. ? [X0] : (~funny(X0) | brave(X0)) => (old(john) & ~strong(john)) [input p7]
10. ! [X0] : ((~strong(X0) <~> brave(X0)) =>... | 0 |
If someone is funny or not rich then paul is both happy and not quiet.
If someone is both not wise and not happy then lucy is either patient or not rich and vice versa.
Everyone who is patient or tall is not quiet and vice versa.
If fred is both patient and not generous then susan is either strong or curious and vice v... | Fred is kind. | neutral | ((?[X]:((funny(X)|~rich(X))))=>((happy(paul)&~quiet(paul))))&
((?[X]:((~wise(X)&~happy(X))))<=>((patient(lucy)<~>~rich(lucy))))&
(![X]:((patient(X)|tall(X))<=>~quiet(X)))&
(((patient(fred)&~generous(fred)))<=>((strong(susan)<~>curious(susan))))&
(![X]:((~old(X)|calm(X))=>(~happy(X)|patient(X))))&
(![X]:((~curious(X)<~>... | kind(fred) | [] | null | 0 |
If someone is happy or not generous then someone is both kind and happy. If someone is not calm then susan is curious or wise and vice versa. Everyone who is both not funny and tall is either kind or rich. If fred is not strong or not calm then alice is happy or generous and vice versa. Everyone who is both kind and cu... | John is humble. | contradiction | ((?[X]:((happy(X)|~generous(X))))=>(?[X]:((kind(X)&happy(X)))))&
((?[X]:(~calm(X)))<=>((curious(susan)|wise(susan))))&
(![X]:((~funny(X)&tall(X))=>(kind(X)<~>rich(X))))&
(((~strong(fred)|~calm(fred)))<=>((happy(alice)|generous(alice))))&
(![X]:((kind(X)&curious(X))<=>(funny(X)|~old(X))))&
(![X]:((~rich(X)&humble(X))<=>... | humble(john) | [
"p4",
"p5",
"p8",
"p9",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6530031445445741584877560
% SZS output start Proof for 6530031445445741584877560
5. ! [X0] : ((curious(X0) & kind(X0)) <=> (~old(X0) | funny(X0))) [input p4]
6. ! [X0] : ((humble(X0) & ~rich(X0)) <=> (wise(X0) & old(X0))) [input p5]
9. ! [X0] : ((curious(X0) <~> rich(X0)) <=> (~strong(X0)... | 0 |
If fred is either patient or not old then paul is both not generous and old and vice versa.
Everyone who is both patient and not rich is not brave.
Everyone who is both not tall and not strong is not old and vice versa.
If someone is both calm and tall then fred is both not strong and not curious and vice versa.
Everyo... | Susan is calm. | neutral | (((patient(fred)<~>~old(fred)))<=>((~generous(paul)&old(paul))))&
(![X]:((patient(X)&~rich(X))=>~brave(X)))&
(![X]:((~tall(X)&~strong(X))<=>~old(X)))&
((?[X]:((calm(X)&tall(X))))<=>((~strong(fred)&~curious(fred))))&
(![X]:((strong(X)<~>~happy(X))=>(~funny(X)<~>~wise(X))))&
((?[X]:((~happy(X)&calm(X))))=>(?[X]:((calm(X)... | calm(susan) | [] | null | 0 |
If someone is both humble and tall then susan is either not calm or not quiet. If susan is not tall then someone is either not wise or not funny. Everyone who is both happy and patient is calm and vice versa. If someone is strong then someone is both strong and not old and vice versa. Everyone who is both happy and cal... | Susan is rich. | neutral | ((?[X]:((humble(X)&tall(X))))=>((~calm(susan)<~>~quiet(susan))))&
((~tall(susan))=>(?[X]:((~wise(X)<~>~funny(X)))))&
(![X]:((happy(X)&patient(X))<=>calm(X)))&
((?[X]:(strong(X)))<=>(?[X]:((strong(X)&~old(X)))))&
(![X]:((happy(X)&calm(X))=>(~patient(X)<~>brave(X))))&
((?[X]:((~calm(X)|~kind(X))))=>(?[X]:((humble(X)<~>ki... | rich(susan) | [] | null | 0 |
If fred is not curious then someone is not patient or not old and vice versa.
Everyone who is humble or brave is both happy and not quiet and vice versa.
Everyone who is creative is both not tall and not old.
If john is either not wise or not patient then someone is both kind and tall and vice versa.
If someone is not ... | Mary is generous. | contradiction | ((~curious(fred))<=>(?[X]:((~patient(X)|~old(X)))))&
(![X]:((humble(X)|brave(X))<=>(happy(X)&~quiet(X))))&
(![X]:(creative(X)=>(~tall(X)&~old(X))))&
(((~wise(john)<~>~patient(john)))<=>(?[X]:((kind(X)&tall(X)))))&
((?[X]:((~quiet(X)|~tall(X))))=>(?[X]:((strong(X)&~tall(X)))))&
(((~quiet(susan)|rich(susan)))<=>((~kind(m... | generous(mary) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4550745949809706109402143
% SZS output start Proof for 4550745949809706109402143
21. ~generous(mary) [input p20]
25. generous(mary) [input hypothesis]
154. ~generous(mary) [cnf transformation 21]
160. generous(mary) [cnf transformation 25]
226. 15 <=> generous(mary) [avatar definition]
35... | 0 |
If fred is not generous then susan is not wise and vice versa. If alice is both happy and wise then someone is not patient or not strong. Everyone who is not quiet is not wise or rich and vice versa. Everyone who is both old and not patient is old or rich and vice versa. Everyone who is not quiet is either funny or not... | Fred is generous. | contradiction | ((~generous(fred))<=>(~wise(susan)))&
(((happy(alice)&wise(alice)))=>(?[X]:((~patient(X)|~strong(X)))))&
(![X]:(~quiet(X)<=>(~wise(X)|rich(X))))&
(![X]:((old(X)&~patient(X))<=>(old(X)|rich(X))))&
(![X]:(~quiet(X)=>(funny(X)<~>~tall(X))))&
(![X]:((~tall(X)&~quiet(X))<=>(brave(X)&funny(X))))&
(((~humble(susan)<~>tall(sus... | generous(fred) | [
"p2",
"p4",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5907952647673737289960424
% SZS output start Proof for 5907952647673737289960424
3. ! [X0] : (~quiet(X0) <=> (rich(X0) | ~wise(X0))) [input p2]
5. ! [X0] : (~quiet(X0) => (funny(X0) <~> ~tall(X0))) [input p4]
6. ! [X0] : ((~quiet(X0) & ~tall(X0)) <=> (funny(X0) & brave(X0))) [input p5]
10... | 0 |
Everyone who is tall is brave or not generous and vice versa.
If alice is both not tall and calm then someone is both not calm and generous and vice versa.
Everyone who is both not wise and wise is either not patient or funny.
Everyone who is both not strong and curious is either not calm or happy and vice versa.
If fr... | Fred is not wise. | neutral | (![X]:(tall(X)<=>(brave(X)|~generous(X))))&
(((~tall(alice)&calm(alice)))<=>(?[X]:((~calm(X)&generous(X)))))&
(![X]:((~wise(X)&wise(X))=>(~patient(X)<~>funny(X))))&
(![X]:((~strong(X)&curious(X))<=>(~calm(X)<~>happy(X))))&
(((~calm(fred)<~>humble(fred)))=>(~wise(lucy)))&
(![X]:((~tall(X)|happy(X))<=>(~old(X)|~humble(X)... | ~wise(fred) | [] | null | 0 |
Everyone who is not brave or not funny is not old or calm.
Everyone who is not funny is either tall or wise.
Everyone who is not strong is not curious or quiet and vice versa.
If alice is both happy and not wise then someone is not humble and vice versa.
Everyone who is either happy or not rich is creative or not tall.... | Alice is not creative. | neutral | (![X]:((~brave(X)|~funny(X))=>(~old(X)|calm(X))))&
(![X]:(~funny(X)=>(tall(X)<~>wise(X))))&
(![X]:(~strong(X)<=>(~curious(X)|quiet(X))))&
(((happy(alice)&~wise(alice)))<=>(?[X]:(~humble(X))))&
(![X]:((happy(X)<~>~rich(X))=>(creative(X)|~tall(X))))&
((happy(alice))=>(~wise(mary)))&
(![X]:((rich(X)|kind(X))=>(generous(X)... | ~creative(alice) | [] | null | 0 |
If someone is tall or humble then lucy is creative or patient.
If someone is both tall and not creative then alice is both patient and not happy and vice versa.
Everyone who is not strong or generous is not old or generous.
Everyone who is either tall or calm is both not quiet and not creative and vice versa.
If susan ... | Fred is rich. | neutral | ((?[X]:((tall(X)|humble(X))))=>((creative(lucy)|patient(lucy))))&
((?[X]:((tall(X)&~creative(X))))<=>((patient(alice)&~happy(alice))))&
(![X]:((~strong(X)|generous(X))=>(~old(X)|generous(X))))&
(![X]:((tall(X)<~>calm(X))<=>(~quiet(X)&~creative(X))))&
((kind(susan))=>(?[X]:((~kind(X)<~>brave(X)))))&
(![X]:((curious(X)<~... | rich(fred) | [] | null | 0 |
Everyone who is both not patient and happy is either not patient or old and vice versa.
Everyone who is both not patient and not happy is not generous and vice versa.
If mary is not tall then paul is not quiet and vice versa.
Everyone who is old or generous is not happy.
If someone is both kind and tall then mary is no... | Susan is not tall. | contradiction | (![X]:((~patient(X)&happy(X))<=>(~patient(X)<~>old(X))))&
(![X]:((~patient(X)&~happy(X))<=>~generous(X)))&
((~tall(mary))<=>(~quiet(paul)))&
(![X]:((old(X)|generous(X))=>~happy(X)))&
((?[X]:((kind(X)&tall(X))))<=>((~quiet(mary)|~generous(mary))))&
(![X]:((generous(X)<~>brave(X))=>tall(X)))&
(![X]:((kind(X)|~funny(X))=>... | ~tall(susan) | [
"p1",
"p3",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 474672621240598912983028
% SZS output start Proof for 474672621240598912983028
2. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> ~generous(X0)) [input p1]
4. ! [X0] : ((generous(X0) | old(X0)) => ~happy(X0)) [input p3]
6. ! [X0] : ((generous(X0) <~> brave(X0)) => tall(X0)) [input p5]
14. ! [X0... | 0 |
If susan is either tall or not curious then susan is not happy or kind.
Everyone who is generous is tall and vice versa.
If fred is not brave then someone is either creative or not happy and vice versa.
If paul is both not strong and not old then someone is not tall or not brave and vice versa.
Everyone who is not rich... | Susan is not kind. | entailment | (((tall(susan)<~>~curious(susan)))=>((~happy(susan)|kind(susan))))&
(![X]:(generous(X)<=>tall(X)))&
((~brave(fred))<=>(?[X]:((creative(X)<~>~happy(X)))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
(((~creative(alice)&~wise(alice)))<=>((~rich(alice)|humble(alice))))&
... | ~kind(susan) | [
"p2",
"p4",
"p7",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8543494898354393860988495
% SZS output start Proof for 8543494898354393860988495
3. ~brave(fred) <=> ? [X0] : (creative(X0) <~> ~happy(X0)) [input p2]
5. ! [X0] : (~rich(X0) <=> strong(X0)) [input p4]
8. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> quiet(X0)) [input p7]
11. ? [X0] : ~happy(X0) =... | 0 |
If john is curious then someone is both not tall and strong.
Everyone who is either not old or not tall is either wise or rich and vice versa.
If lucy is quiet then susan is both humble and kind and vice versa.
Everyone who is not quiet or calm is either not happy or creative and vice versa.
Everyone who is not curious... | Fred is patient. | contradiction | ((curious(john))=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((~old(X)<~>~tall(X))<=>(wise(X)<~>rich(X))))&
((quiet(lucy))<=>((humble(susan)&kind(susan))))&
(![X]:((~quiet(X)|calm(X))<=>(~happy(X)<~>creative(X))))&
(![X]:((~curious(X)|quiet(X))=>(~tall(X)&~kind(X))))&
((patient(paul))=>((~rich(paul)&tall(paul))))&
(![X]:((~... | patient(fred) | [
"p4",
"p6",
"p10",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4833088371158950743752529
% SZS output start Proof for 4833088371158950743752529
5. ! [X0] : ((quiet(X0) | ~curious(X0)) => (~kind(X0) & ~tall(X0))) [input p4]
7. ! [X0] : ((~tall(X0) <~> humble(X0)) <=> (~calm(X0) <~> ~patient(X0))) [input p6]
11. ! [X0] : ((wise(X0) | ~wise(X0)) <=> (ri... | 0 |
If someone is not kind then mary is kind or wise and vice versa.
If someone is patient or rich then paul is generous or not kind.
Everyone who is calm or not tall is quiet or happy.
If mary is quiet or rich then susan is not tall and vice versa.
If someone is kind then john is either tall or not brave and vice versa.
I... | Fred is old. | contradiction | ((?[X]:(~kind(X)))<=>((kind(mary)|wise(mary))))&
((?[X]:((patient(X)|rich(X))))=>((generous(paul)|~kind(paul))))&
(![X]:((calm(X)|~tall(X))=>(quiet(X)|happy(X))))&
(((quiet(mary)|rich(mary)))<=>(~tall(susan)))&
((?[X]:(kind(X)))<=>((tall(john)<~>~brave(john))))&
((?[X]:((curious(X)|~funny(X))))<=>(?[X]:((calm(X)<~>~qui... | old(fred) | [
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9170506684161676082579166
% SZS output start Proof for 9170506684161676082579166
21. old(fred) <~> humble(fred) [input p20]
22. humble(fred) [input p21]
25. old(fred) [input hypothesis]
72. (~humble(fred) | ~old(fred)) & (humble(fred) | old(fred)) [nnf transformation 21]
131. ~humble(fred... | 0 |
Everyone who is both strong and kind is funny. If someone is not brave then someone is not curious and vice versa. Everyone who is not calm is both tall and creative and vice versa. If someone is not creative then someone is either not quiet or not old. If susan is both not quiet and not kind then someone is either not... | Susan is creative. | entailment | (![X]:((strong(X)&kind(X))=>funny(X)))&
((?[X]:(~brave(X)))<=>(?[X]:(~curious(X))))&
(![X]:(~calm(X)<=>(tall(X)&creative(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~quiet(X)<~>~old(X)))))&
(((~quiet(susan)&~kind(susan)))<=>(?[X]:((~rich(X)<~>tall(X)))))&
((~humble(paul))=>(?[X]:((~old(X)|patient(X)))))&
((brave(fred))<=>((... | creative(susan) | [
"p2",
"p7",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4441097162458928900873229
% SZS output start Proof for 4441097162458928900873229
3. ! [X0] : (~calm(X0) <=> (creative(X0) & tall(X0))) [input p2]
8. ! [X0] : ((~happy(X0) | calm(X0)) => ~happy(X0)) [input p7]
9. ? [X0] : ~rich(X0) => happy(susan) [input p8]
20. ~rich(lucy) [input p19]
25.... | 0 |
If john is wise then someone is not wise. If someone is either quiet or not brave then someone is not curious or patient and vice versa. Everyone who is either quiet or humble is curious or happy and vice versa. Everyone who is both brave and not strong is both calm and patient and vice versa. If lucy is either not hap... | Paul is wise. | entailment | ((wise(john))=>(?[X]:(~wise(X))))&
((?[X]:((quiet(X)<~>~brave(X))))<=>(?[X]:((~curious(X)|patient(X)))))&
(![X]:((quiet(X)<~>humble(X))<=>(curious(X)|happy(X))))&
(![X]:((brave(X)&~strong(X))<=>(calm(X)&patient(X))))&
(((~happy(lucy)<~>rich(lucy)))<=>((~wise(john)<~>~patient(john))))&
(![X]:(~old(X)=>old(X)))&
(![X]:((... | wise(paul) | [
"p2",
"p6",
"p7",
"p11",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1426551645763997836257453
% SZS output start Proof for 1426551645763997836257453
3. ! [X0] : ((quiet(X0) <~> humble(X0)) <=> (happy(X0) | curious(X0))) [input p2]
7. ! [X0] : ((generous(X0) <~> curious(X0)) <=> (~funny(X0) <~> rich(X0))) [input p6]
8. ! [X0] : ((~brave(X0) | brave(X0)) =>... | 0 |
Everyone who is not patient or quiet is patient and vice versa. Everyone who is strong or not old is not funny and vice versa. Everyone who is not calm or happy is curious or generous and vice versa. If alice is generous or not quiet then someone is not happy and vice versa. Everyone who is both humble and not strong i... | Mary is not happy. | entailment | (![X]:((~patient(X)|quiet(X))<=>patient(X)))&
(![X]:((strong(X)|~old(X))<=>~funny(X)))&
(![X]:((~calm(X)|happy(X))<=>(curious(X)|generous(X))))&
(((generous(alice)|~quiet(alice)))<=>(?[X]:(~happy(X))))&
(![X]:((humble(X)&~strong(X))<=>(~quiet(X)&~funny(X))))&
((?[X]:((~wise(X)<~>~creative(X))))<=>(?[X]:((~strong(X)<~>c... | ~happy(mary) | [
"p0",
"p2",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2737006709325715883892418
% SZS output start Proof for 2737006709325715883892418
1. ! [X0] : ((quiet(X0) | ~patient(X0)) <=> patient(X0)) [input p0]
3. ! [X0] : ((happy(X0) | ~calm(X0)) <=> (generous(X0) | curious(X0))) [input p2]
9. ! [X0] : (~curious(X0) <=> (~brave(X0) <~> old(X0))) [i... | 0 |
If lucy is not strong or brave then paul is quiet or not quiet.
If mary is both calm and kind then alice is not old or not wise and vice versa.
Everyone who is both curious and quiet is either not generous or not brave.
Everyone who is both old and not happy is not wise or not patient and vice versa.
Everyone who is bo... | Susan is funny. | entailment | (((~strong(lucy)|brave(lucy)))=>((quiet(paul)|~quiet(paul))))&
(((calm(mary)&kind(mary)))<=>((~old(alice)|~wise(alice))))&
(![X]:((curious(X)&quiet(X))=>(~generous(X)<~>~brave(X))))&
(![X]:((old(X)&~happy(X))<=>(~wise(X)|~patient(X))))&
(![X]:((wise(X)&calm(X))=>(generous(X)|quiet(X))))&
(![X]:((~curious(X)<~>~wise(X))... | funny(susan) | [
"p2",
"p3",
"p5",
"p6",
"p9",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2627074748926938962269425
% SZS output start Proof for 2627074748926938962269425
3. ! [X0] : ((quiet(X0) & curious(X0)) => (~generous(X0) <~> ~brave(X0))) [input p2]
4. ! [X0] : ((~happy(X0) & old(X0)) <=> (~patient(X0) | ~wise(X0))) [input p3]
6. ! [X0] : ((~curious(X0) <~> ~wise(X0)) =>... | 0 |
Everyone who is both wise and patient is old or wise and vice versa.
If paul is brave then alice is not humble and vice versa.
Everyone who is not calm is both funny and not funny and vice versa.
Everyone who is not kind is not brave and vice versa.
Everyone who is not wise or strong is old and vice versa.
Everyone who... | Paul is brave. | entailment | (![X]:((wise(X)&patient(X))<=>(old(X)|wise(X))))&
((brave(paul))<=>(~humble(alice)))&
(![X]:(~calm(X)<=>(funny(X)&~funny(X))))&
(![X]:(~kind(X)<=>~brave(X)))&
(![X]:((~wise(X)|strong(X))<=>old(X)))&
(![X]:((humble(X)|~funny(X))<=>~generous(X)))&
(![X]:((patient(X)<~>funny(X))=>(~old(X)<~>creative(X))))&
((?[X]:((kind(X... | brave(paul) | [
"p0",
"p3",
"p4",
"p5",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1232438755992205519845727
% SZS output start Proof for 1232438755992205519845727
1. ! [X0] : ((patient(X0) & wise(X0)) <=> (wise(X0) | old(X0))) [input p0]
4. ! [X0] : (~kind(X0) <=> ~brave(X0)) [input p3]
5. ! [X0] : ((strong(X0) | ~wise(X0)) <=> old(X0)) [input p4]
6. ! [X0] : ((~funny(... | 0 |
If someone is both wise and curious then someone is generous or calm.
If alice is both old and not brave then someone is either old or not quiet.
Everyone who is both not rich and generous is not patient and vice versa.
Everyone who is brave is both not funny and creative and vice versa.
Everyone who is not tall or hum... | Lucy is not quiet. | contradiction | ((?[X]:((wise(X)&curious(X))))=>(?[X]:((generous(X)|calm(X)))))&
(((old(alice)&~brave(alice)))=>(?[X]:((old(X)<~>~quiet(X)))))&
(![X]:((~rich(X)&generous(X))<=>~patient(X)))&
(![X]:(brave(X)<=>(~funny(X)&creative(X))))&
(![X]:((~tall(X)|humble(X))=>~curious(X)))&
(((rich(fred)<~>~happy(fred)))=>(?[X]:((~kind(X)<~>quiet... | ~quiet(lucy) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4423014628042409469922123
% SZS output start Proof for 4423014628042409469922123
7. ! [X0] : (~old(X0) <=> quiet(X0)) [input p6]
12. ! [X0] : (~wise(X0) <=> (~old(X0) | wise(X0))) [input p11]
25. ~quiet(lucy) [input hypothesis]
50. ! [X0] : ((~old(X0) | ~quiet(X0)) & (quiet(X0) | old(X0))... | 0 |
Everyone who is not creative is kind or humble and vice versa.
If john is either not strong or creative then alice is not patient or not funny.
If fred is either not brave or patient then someone is both calm and kind and vice versa.
Everyone who is either calm or not humble is not wise or strong.
Everyone who is humbl... | Fred is happy. | neutral | (![X]:(~creative(X)<=>(kind(X)|humble(X))))&
(((~strong(john)<~>creative(john)))=>((~patient(alice)|~funny(alice))))&
(((~brave(fred)<~>patient(fred)))<=>(?[X]:((calm(X)&kind(X)))))&
(![X]:((calm(X)<~>~humble(X))=>(~wise(X)|strong(X))))&
(![X]:(humble(X)<=>(patient(X)<~>~kind(X))))&
(((creative(alice)<~>wise(alice)))=>... | happy(fred) | [] | null | 0 |
If mary is not wise or not creative then someone is not rich. Everyone who is both not wise and not rich is funny and vice versa. Everyone who is either generous or not old is both not humble and old. If mary is either not strong or not generous then paul is either generous or wise. If john is not generous or wise then... | Paul is not kind. | neutral | (((~wise(mary)|~creative(mary)))=>(?[X]:(~rich(X))))&
(![X]:((~wise(X)&~rich(X))<=>funny(X)))&
(![X]:((generous(X)<~>~old(X))=>(~humble(X)&old(X))))&
(((~strong(mary)<~>~generous(mary)))=>((generous(paul)<~>wise(paul))))&
(((~generous(john)|wise(john)))<=>(?[X]:((~quiet(X)&~strong(X)))))&
(![X]:((kind(X)&~quiet(X))=>(~... | ~kind(paul) | [] | null | 0 |
If someone is either calm or not patient then someone is both not calm and not funny.
If mary is not patient or rich then paul is both not funny and kind.
Everyone who is rich is wise or kind.
If someone is happy then someone is either patient or not curious.
If paul is kind then alice is not rich.
If someone is either... | Susan is wise. | neutral | ((?[X]:((calm(X)<~>~patient(X))))=>(?[X]:((~calm(X)&~funny(X)))))&
(((~patient(mary)|rich(mary)))=>((~funny(paul)&kind(paul))))&
(![X]:(rich(X)=>(wise(X)|kind(X))))&
((?[X]:(happy(X)))=>(?[X]:((patient(X)<~>~curious(X)))))&
((kind(paul))=>(~rich(alice)))&
((?[X]:((~funny(X)<~>~strong(X))))<=>((~kind(mary)<~>brave(mary)... | wise(susan) | [] | null | 0 |
Everyone who is not funny is both old and quiet.
Everyone who is either kind or curious is calm.
If alice is not curious or happy then someone is wise and vice versa.
If fred is both not wise and humble then paul is both tall and curious.
Everyone who is funny or wise is either not old or not patient.
If john is not wi... | John is quiet. | neutral | (![X]:(~funny(X)=>(old(X)&quiet(X))))&
(![X]:((kind(X)<~>curious(X))=>calm(X)))&
(((~curious(alice)|happy(alice)))<=>(?[X]:(wise(X))))&
(((~wise(fred)&humble(fred)))=>((tall(paul)&curious(paul))))&
(![X]:((funny(X)|wise(X))=>(~old(X)<~>~patient(X))))&
(((~wise(john)|wise(john)))=>((strong(susan)&wise(susan))))&
((?[X]:... | quiet(john) | [] | null | 0 |
If mary is not old then someone is kind or generous and vice versa.
If lucy is both not humble and calm then someone is not curious.
If susan is not tall or curious then someone is both strong and not creative and vice versa.
Everyone who is quiet or not brave is wise and vice versa.
If susan is not calm then someone i... | Mary is brave. | entailment | ((~old(mary))<=>(?[X]:((kind(X)|generous(X)))))&
(((~humble(lucy)&calm(lucy)))=>(?[X]:(~curious(X))))&
(((~tall(susan)|curious(susan)))<=>(?[X]:((strong(X)&~creative(X)))))&
(![X]:((quiet(X)|~brave(X))<=>wise(X)))&
((~calm(susan))=>(?[X]:(quiet(X))))&
(![X]:(wise(X)<=>(~calm(X)&humble(X))))&
(((~funny(lucy)|~brave(lucy... | brave(mary) | [
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5110725307887941414923268
% SZS output start Proof for 5110725307887941414923268
10. ! [X0] : ((~patient(X0) <~> patient(X0)) => funny(X0)) [input p9]
16. ! [X0] : (~brave(X0) <=> ~funny(X0)) [input p15]
25. ~brave(mary) [input hypothesis]
30. ! [X0] : (funny(X0) | (~patient(X0) <=> patie... | 0 |
Everyone who is not wise is both not patient and quiet.
If susan is strong then fred is not quiet.
If someone is both not brave and not patient then someone is not generous.
If alice is either not creative or old then susan is humble and vice versa.
Everyone who is not calm is both not funny and brave.
If someone is ei... | Paul is patient. | neutral | (![X]:(~wise(X)=>(~patient(X)&quiet(X))))&
((strong(susan))=>(~quiet(fred)))&
((?[X]:((~brave(X)&~patient(X))))=>(?[X]:(~generous(X))))&
(((~creative(alice)<~>old(alice)))<=>(humble(susan)))&
(![X]:(~calm(X)=>(~funny(X)&brave(X))))&
((?[X]:((~generous(X)<~>creative(X))))=>((old(mary)&quiet(mary))))&
(![X]:((~kind(X)&fu... | patient(paul) | [] | null | 0 |
Everyone who is either brave or not wise is both kind and wise and vice versa.
Everyone who is brave or strong is both not old and tall and vice versa.
If mary is either generous or rich then susan is not rich.
Everyone who is not kind or not old is both not wise and not creative and vice versa.
Everyone who is either ... | Fred is not rich. | neutral | (![X]:((brave(X)<~>~wise(X))<=>(kind(X)&wise(X))))&
(![X]:((brave(X)|strong(X))<=>(~old(X)&tall(X))))&
(((generous(mary)<~>rich(mary)))=>(~rich(susan)))&
(![X]:((~kind(X)|~old(X))<=>(~wise(X)&~creative(X))))&
(![X]:((kind(X)<~>~patient(X))<=>(~creative(X)<~>~curious(X))))&
(![X]:((~kind(X)&quiet(X))<=>(patient(X)&curio... | ~rich(fred) | [] | null | 0 |
If fred is either generous or not humble then lucy is not creative or calm and vice versa.
Everyone who is either not creative or not rich is not strong or not tall and vice versa.
Everyone who is not brave or not quiet is either not generous or not curious.
If fred is strong then susan is not creative or not curious.
... | Susan is creative. | neutral | (((generous(fred)<~>~humble(fred)))<=>((~creative(lucy)|calm(lucy))))&
(![X]:((~creative(X)<~>~rich(X))<=>(~strong(X)|~tall(X))))&
(![X]:((~brave(X)|~quiet(X))=>(~generous(X)<~>~curious(X))))&
((strong(fred))=>((~creative(susan)|~curious(susan))))&
(((~rich(paul)|quiet(paul)))=>(?[X]:((funny(X)|~wise(X)))))&
(![X]:(~cu... | creative(susan) | [] | null | 0 |
If someone is calm then someone is not brave. Everyone who is not happy is not creative. Everyone who is not strong or not kind is patient. Everyone who is either rich or calm is either not happy or generous. Everyone who is not rich or creative is either humble or patient. If someone is old then someone is not strong ... | Fred is kind. | neutral | ((?[X]:(calm(X)))=>(?[X]:(~brave(X))))&
(![X]:(~happy(X)=>~creative(X)))&
(![X]:((~strong(X)|~kind(X))=>patient(X)))&
(![X]:((rich(X)<~>calm(X))=>(~happy(X)<~>generous(X))))&
(![X]:((~rich(X)|creative(X))=>(humble(X)<~>patient(X))))&
((?[X]:(old(X)))=>(?[X]:((~strong(X)|~humble(X)))))&
((?[X]:((creative(X)|~quiet(X))))... | kind(fred) | [] | null | 0 |
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