premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either kind or not happy is both patient and quiet. Everyone who is not humble or funny is both not quiet and not humble. If someone is old or quiet then someone is generous or not wise. Everyone who is either creative or not happy is not calm and vice versa. Everyone who is both patient and not strong ... | John is not generous. | entailment | (![X]:((kind(X)<~>~happy(X))=>(patient(X)&quiet(X))))&
(![X]:((~humble(X)|funny(X))=>(~quiet(X)&~humble(X))))&
((?[X]:((old(X)|quiet(X))))=>(?[X]:((generous(X)|~wise(X)))))&
(![X]:((creative(X)<~>~happy(X))<=>~calm(X)))&
(![X]:((patient(X)&~strong(X))=>(~wise(X)<~>brave(X))))&
((~happy(lucy))=>(?[X]:((~creative(X)|~cal... | ~generous(john) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7486199419623664974902677
% SZS output start Proof for 7486199419623664974902677
9. ! [X0] : ((~tall(X0) | patient(X0)) => (tall(X0) & old(X0))) [input p8]
11. ! [X0] : ((tall(X0) | funny(X0)) <=> ~generous(X0)) [input p10]
20. generous(john) [input hypothesis]
30. ! [X0] : ((tall(X0) & o... | 0 |
If fred is both tall and not calm then someone is both happy and not tall. If paul is both tall and not happy then someone is both calm and happy. Everyone who is creative is both not funny and rich. If lucy is either generous or not rich then someone is happy or not funny and vice versa. Everyone who is either humble ... | Mary is not wise. | entailment | (((tall(fred)&~calm(fred)))=>(?[X]:((happy(X)&~tall(X)))))&
(((tall(paul)&~happy(paul)))=>(?[X]:((calm(X)&happy(X)))))&
(![X]:(creative(X)=>(~funny(X)&rich(X))))&
(((generous(lucy)<~>~rich(lucy)))<=>(?[X]:((happy(X)|~funny(X)))))&
(![X]:((humble(X)<~>~calm(X))=>~happy(X)))&
(![X]:(happy(X)<=>humble(X)))&
(![X]:((~curio... | ~wise(mary) | [
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8881886456369638541205993
% SZS output start Proof for 8881886456369638541205993
6. ! [X0] : (happy(X0) <=> humble(X0)) [input p5]
9. ! [X0] : ((~humble(X0) & ~calm(X0)) <=> (wise(X0) | ~rich(X0))) [input p8]
11. ! [X0] : (happy(X0) <=> (~happy(X0) | ~curious(X0))) [input p10]
24. wise(ma... | 0 |
If someone is not humble then mary is either calm or curious and vice versa. Everyone who is not generous or not strong is not wise and vice versa. Everyone who is humble is kind or not tall. If fred is either not funny or patient then someone is both not creative and not kind. If someone is either not humble or not ge... | Mary is not generous. | entailment | ((?[X]:(~humble(X)))<=>((calm(mary)<~>curious(mary))))&
(![X]:((~generous(X)|~strong(X))<=>~wise(X)))&
(![X]:(humble(X)=>(kind(X)|~tall(X))))&
(((~funny(fred)<~>patient(fred)))=>(?[X]:((~creative(X)&~kind(X)))))&
((?[X]:((~humble(X)<~>~generous(X))))=>(brave(mary)))&
(![X]:((~patient(X)&~wise(X))<=>(happy(X)|~quiet(X))... | ~generous(mary) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p6",
"p8",
"p11",
"p12",
"p14",
"p15",
"p16",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8236032182890752665755936
% SZS output start Proof for 8236032182890752665755936
1. ? [X0] : ~humble(X0) <=> (calm(mary) <~> curious(mary)) [input p0]
2. ! [X0] : ((~strong(X0) | ~generous(X0)) <=> ~wise(X0)) [input p1]
3. ! [X0] : (humble(X0) => (~tall(X0) | kind(X0))) [input p2]
5. ? [X... | 0 |
If lucy is brave then john is rich. If paul is either tall or humble then someone is both generous and not rich and vice versa. If someone is rich or happy then mary is tall or funny and vice versa. If paul is either not wise or not brave then someone is not old or not tall. If someone is either kind or quiet then alic... | Paul is not rich. | neutral | ((brave(lucy))=>(rich(john)))&
(((tall(paul)<~>humble(paul)))<=>(?[X]:((generous(X)&~rich(X)))))&
((?[X]:((rich(X)|happy(X))))<=>((tall(mary)|funny(mary))))&
(((~wise(paul)<~>~brave(paul)))=>(?[X]:((~old(X)|~tall(X)))))&
((?[X]:((kind(X)<~>quiet(X))))<=>((humble(alice)|~old(alice))))&
((?[X]:((rich(X)<~>~curious(X))))<... | ~rich(paul) | [] | null | 0 |
Everyone who is quiet or generous is both tall and creative.
Everyone who is not old or not curious is not quiet.
If someone is not brave then alice is patient and vice versa.
Everyone who is either not tall or quiet is not kind or kind and vice versa.
Everyone who is not curious is not happy or quiet.
If someone is no... | Mary is kind. | neutral | (![X]:((quiet(X)|generous(X))=>(tall(X)&creative(X))))&
(![X]:((~old(X)|~curious(X))=>~quiet(X)))&
((?[X]:(~brave(X)))<=>(patient(alice)))&
(![X]:((~tall(X)<~>quiet(X))<=>(~kind(X)|kind(X))))&
(![X]:(~curious(X)=>(~happy(X)|quiet(X))))&
((?[X]:(~tall(X)))<=>(rich(alice)))&
((?[X]:((wise(X)&creative(X))))<=>(?[X]:((~bra... | kind(mary) | [] | null | 0 |
Everyone who is happy is strong and vice versa.
Everyone who is not wise is either not tall or not patient and vice versa.
If mary is both quiet and happy then someone is both tall and generous.
Everyone who is either humble or patient is curious or not wise.
If susan is both humble and patient then fred is both quiet ... | Mary is happy. | neutral | (![X]:(happy(X)<=>strong(X)))&
(![X]:(~wise(X)<=>(~tall(X)<~>~patient(X))))&
(((quiet(mary)&happy(mary)))=>(?[X]:((tall(X)&generous(X)))))&
(![X]:((humble(X)<~>patient(X))=>(curious(X)|~wise(X))))&
(((humble(susan)&patient(susan)))<=>((quiet(fred)&rich(fred))))&
(![X]:((generous(X)<~>~old(X))<=>humble(X)))&
(((tall(pau... | happy(mary) | [] | null | 0 |
Everyone who is both not strong and not calm is either patient or calm.
Everyone who is curious or not patient is either not generous or not calm and vice versa.
Everyone who is both curious and patient is not creative.
Everyone who is not kind is funny.
If john is either not creative or not wise then someone is either... | Alice is not humble. | contradiction | (![X]:((~strong(X)&~calm(X))=>(patient(X)<~>calm(X))))&
(![X]:((curious(X)|~patient(X))<=>(~generous(X)<~>~calm(X))))&
(![X]:((curious(X)&patient(X))=>~creative(X)))&
(![X]:(~kind(X)=>funny(X)))&
(((~creative(john)<~>~wise(john)))=>(?[X]:((~calm(X)<~>tall(X)))))&
(![X]:(creative(X)<=>(old(X)&creative(X))))&
(![X]:((fun... | ~humble(alice) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p7",
"p8",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7340858182073399832305945
% SZS output start Proof for 7340858182073399832305945
1. ! [X0] : ((~calm(X0) & ~strong(X0)) => (patient(X0) <~> calm(X0))) [input p0]
2. ! [X0] : ((~patient(X0) | curious(X0)) <=> (~generous(X0) <~> ~calm(X0))) [input p1]
3. ! [X0] : ((patient(X0) & curious(X0)... | 0 |
Everyone who is not brave is either curious or not wise and vice versa.
If john is both not kind and not funny then someone is both quiet and not kind and vice versa.
If someone is either wise or not rich then someone is creative or not rich.
If john is brave or not old then lucy is not quiet.
If paul is both curious a... | Paul is not curious. | entailment | (![X]:(~brave(X)<=>(curious(X)<~>~wise(X))))&
(((~kind(john)&~funny(john)))<=>(?[X]:((quiet(X)&~kind(X)))))&
((?[X]:((wise(X)<~>~rich(X))))=>(?[X]:((creative(X)|~rich(X)))))&
(((brave(john)|~old(john)))=>(~quiet(lucy)))&
(((curious(paul)&~funny(paul)))<=>((creative(paul)&wise(paul))))&
(![X]:((~rich(X)&~kind(X))=>humbl... | ~curious(paul) | [
"p0",
"p4",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6530419666698131411955726
% SZS output start Proof for 6530419666698131411955726
1. ! [X0] : (~brave(X0) <=> (curious(X0) <~> ~wise(X0))) [input p0]
5. (~funny(paul) & curious(paul)) <=> (wise(paul) & creative(paul)) [input p4]
11. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> (tall(X0) | ~fu... | 0 |
If lucy is not old or old then john is tall and vice versa. Everyone who is both not old and not patient is either quiet or not old. If someone is not funny or old then someone is either curious or rich. If alice is both old and rich then lucy is not rich and vice versa. Everyone who is both not patient and not rich is... | Paul is not funny. | contradiction | (((~old(lucy)|old(lucy)))<=>(tall(john)))&
(![X]:((~old(X)&~patient(X))=>(quiet(X)<~>~old(X))))&
((?[X]:((~funny(X)|old(X))))=>(?[X]:((curious(X)<~>rich(X)))))&
(((old(alice)&rich(alice)))<=>(~rich(lucy)))&
(![X]:((~patient(X)&~rich(X))<=>(creative(X)<~>humble(X))))&
(![X]:((funny(X)|generous(X))=>(~strong(X)&~kind(X))... | ~funny(paul) | [
"p6",
"p8",
"p9",
"p10",
"p12",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 221478574391275414186992
% SZS output start Proof for 221478574391275414186992
7. (~old(paul) <~> ~rich(paul)) <=> ~creative(paul) [input p6]
9. ! [X0] : (~calm(X0) <=> happy(X0)) [input p8]
10. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> (quiet(X0) & ~funny(X0))) [input p9]
11. ! [X0] : (c... | 0 |
If paul is not generous then susan is not generous.
If someone is both not strong and wise then someone is not creative and vice versa.
Everyone who is both calm and quiet is brave or not brave.
Everyone who is either not strong or not rich is not strong or patient and vice versa.
Everyone who is either funny or not cu... | Alice is happy. | entailment | ((~generous(paul))=>(~generous(susan)))&
((?[X]:((~strong(X)&wise(X))))<=>(?[X]:(~creative(X))))&
(![X]:((calm(X)&quiet(X))=>(brave(X)|~brave(X))))&
(![X]:((~strong(X)<~>~rich(X))<=>(~strong(X)|patient(X))))&
(![X]:((funny(X)<~>~curious(X))=>(generous(X)<~>happy(X))))&
(![X]:((~happy(X)<~>~funny(X))<=>(wise(X)&rich(X))... | happy(alice) | [
"p3",
"p7",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5676541964665822355250782
% SZS output start Proof for 5676541964665822355250782
4. ! [X0] : ((~strong(X0) <~> ~rich(X0)) <=> (patient(X0) | ~strong(X0))) [input p3]
8. ! [X0] : ((~creative(X0) | ~generous(X0)) <=> (~humble(X0) & creative(X0))) [input p7]
12. ? [X0] : (funny(X0) | patient... | 0 |
If someone is either kind or not tall then john is both tall and calm.
If someone is not brave then someone is both not happy and calm and vice versa.
Everyone who is not humble or brave is either not funny or not brave.
Everyone who is old or kind is funny and vice versa.
Everyone who is both rich and not tall is not ... | Mary is strong. | neutral | ((?[X]:((kind(X)<~>~tall(X))))=>((tall(john)&calm(john))))&
((?[X]:(~brave(X)))<=>(?[X]:((~happy(X)&calm(X)))))&
(![X]:((~humble(X)|brave(X))=>(~funny(X)<~>~brave(X))))&
(![X]:((old(X)|kind(X))<=>funny(X)))&
(![X]:((rich(X)&~tall(X))<=>(~funny(X)|kind(X))))&
(![X]:((~old(X)&rich(X))=>(~rich(X)&~curious(X))))&
(((~calm(... | strong(mary) | [] | null | 0 |
Everyone who is not humble is not quiet. If john is funny or not creative then john is both happy and curious and vice versa. If someone is either strong or tall then alice is both not quiet and not old. If lucy is not creative or rich then john is not tall or not kind and vice versa. If susan is either not humble or w... | Mary is not kind. | entailment | (![X]:(~humble(X)=>~quiet(X)))&
(((funny(john)|~creative(john)))<=>((happy(john)&curious(john))))&
((?[X]:((strong(X)<~>tall(X))))=>((~quiet(alice)&~old(alice))))&
(((~creative(lucy)|rich(lucy)))<=>((~tall(john)|~kind(john))))&
(((~humble(susan)<~>wise(susan)))<=>(calm(alice)))&
((?[X]:((~strong(X)|tall(X))))=>((~rich(... | ~kind(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3871584996133552711574320
% SZS output start Proof for 3871584996133552711574320
15. ! [X0] : ((~funny(X0) <~> funny(X0)) => ~kind(X0)) [input p14]
25. kind(mary) [input hypothesis]
36. ! [X0] : (~kind(X0) | (~funny(X0) <=> funny(X0))) [ennf transformation 15]
56. ! [X0] : (~kind(X0) | ((... | 0 |
If john is both calm and rich then fred is either rich or not brave.
If lucy is both wise and quiet then paul is both strong and not tall.
Everyone who is either not strong or brave is curious or generous and vice versa.
If susan is patient or quiet then john is either not humble or not happy.
Everyone who is not creat... | Alice is creative. | entailment | (((calm(john)&rich(john)))=>((rich(fred)<~>~brave(fred))))&
(((wise(lucy)&quiet(lucy)))=>((strong(paul)&~tall(paul))))&
(![X]:((~strong(X)<~>brave(X))<=>(curious(X)|generous(X))))&
(((patient(susan)|quiet(susan)))=>((~humble(john)<~>~happy(john))))&
(![X]:((~creative(X)|quiet(X))=>(curious(X)&~creative(X))))&
(![X]:((p... | creative(alice) | [
"p2",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 821916898739788009739667
% SZS output start Proof for 821916898739788009739667
3. ! [X0] : ((~strong(X0) <~> brave(X0)) <=> (generous(X0) | curious(X0))) [input p2]
5. ! [X0] : ((quiet(X0) | ~creative(X0)) => (~creative(X0) & curious(X0))) [input p4]
13. ! [X0] : (brave(X0) <=> ~strong(X0... | 0 |
Everyone who is either not generous or kind is either not curious or tall. If someone is not kind or not patient then someone is either calm or not curious and vice versa. If fred is both not kind and creative then john is not wise or not curious and vice versa. Everyone who is tall is not tall or not wise and vice ver... | Susan is wise. | contradiction | (![X]:((~generous(X)<~>kind(X))=>(~curious(X)<~>tall(X))))&
((?[X]:((~kind(X)|~patient(X))))<=>(?[X]:((calm(X)<~>~curious(X)))))&
(((~kind(fred)&creative(fred)))<=>((~wise(john)|~curious(john))))&
(![X]:(tall(X)<=>(~tall(X)|~wise(X))))&
((?[X]:((~quiet(X)&~strong(X))))<=>((~funny(mary)<~>~calm(mary))))&
(![X]:(~generou... | wise(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3015442047263471508453543
% SZS output start Proof for 3015442047263471508453543
4. ! [X0] : (tall(X0) <=> (~wise(X0) | ~tall(X0))) [input p3]
24. wise(susan) [input hypothesis]
42. ! [X0] : ((tall(X0) | (wise(X0) & tall(X0))) & ((~wise(X0) | ~tall(X0)) | ~tall(X0))) [nnf transformation 4... | 0 |
If someone is not wise or not kind then someone is both quiet and calm.
If fred is not generous or quiet then someone is either not strong or calm and vice versa.
If someone is not generous then someone is both not curious and calm and vice versa.
Everyone who is generous is not curious and vice versa.
Everyone who is ... | Mary is creative. | neutral | ((?[X]:((~wise(X)|~kind(X))))=>(?[X]:((quiet(X)&calm(X)))))&
(((~generous(fred)|quiet(fred)))<=>(?[X]:((~strong(X)<~>calm(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((~curious(X)&calm(X)))))&
(![X]:(generous(X)<=>~curious(X)))&
(![X]:((~old(X)|~rich(X))=>(old(X)|~generous(X))))&
(![X]:((~calm(X)|curious(X))=>calm(X)))&
((?... | creative(mary) | [] | null | 0 |
Everyone who is generous is both not happy and not patient and vice versa.
If someone is either wise or not quiet then fred is both tall and calm and vice versa.
If alice is either not quiet or not old then someone is both rich and not calm and vice versa.
Everyone who is both curious and not humble is either kind or n... | Alice is not curious. | entailment | (![X]:(generous(X)<=>(~happy(X)&~patient(X))))&
((?[X]:((wise(X)<~>~quiet(X))))<=>((tall(fred)&calm(fred))))&
(((~quiet(alice)<~>~old(alice)))<=>(?[X]:((rich(X)&~calm(X)))))&
(![X]:((curious(X)&~humble(X))<=>(kind(X)<~>~happy(X))))&
(![X]:((~kind(X)|tall(X))<=>(humble(X)|~rich(X))))&
((?[X]:(~brave(X)))<=>((~rich(paul)... | ~curious(alice) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7192026612568952630348358
% SZS output start Proof for 7192026612568952630348358
18. ~rich(alice) & ~curious(alice) [input p17]
23. curious(alice) [input hypothesis]
137. ~curious(alice) [cnf transformation 18]
144. curious(alice) [cnf transformation 23]
324. $false [subsumption resolutio... | 0 |
If susan is both not rich and not tall then someone is both not rich and not creative.
If someone is not humble or patient then john is either not rich or old and vice versa.
Everyone who is not brave is both not happy and rich and vice versa.
Everyone who is either not generous or old is either creative or not humble.... | Susan is not quiet. | neutral | (((~rich(susan)&~tall(susan)))=>(?[X]:((~rich(X)&~creative(X)))))&
((?[X]:((~humble(X)|patient(X))))<=>((~rich(john)<~>old(john))))&
(![X]:(~brave(X)<=>(~happy(X)&rich(X))))&
(![X]:((~generous(X)<~>old(X))=>(creative(X)<~>~humble(X))))&
(![X]:((tall(X)&rich(X))<=>(patient(X)|~patient(X))))&
(((humble(paul)<~>~wise(paul... | ~quiet(susan) | [] | null | 0 |
If someone is either not calm or creative then alice is both quiet and tall. Everyone who is not quiet or not rich is not calm. If alice is either quiet or not tall then john is either not old or creative. If someone is curious then mary is happy or patient and vice versa. Everyone who is both not calm and kind is not ... | Alice is tall. | entailment | ((?[X]:((~calm(X)<~>creative(X))))=>((quiet(alice)&tall(alice))))&
(![X]:((~quiet(X)|~rich(X))=>~calm(X)))&
(((quiet(alice)<~>~tall(alice)))=>((~old(john)<~>creative(john))))&
((?[X]:(curious(X)))<=>((happy(mary)|patient(mary))))&
(![X]:((~calm(X)&kind(X))<=>(~generous(X)|curious(X))))&
(![X]:(calm(X)=>(~rich(X)<~>~kin... | tall(alice) | [
"p1",
"p4",
"p5",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 139403284322624060241219
% SZS output start Proof for 139403284322624060241219
2. ! [X0] : ((~rich(X0) | ~quiet(X0)) => ~calm(X0)) [input p1]
5. ! [X0] : ((kind(X0) & ~calm(X0)) <=> (curious(X0) | ~generous(X0))) [input p4]
6. ! [X0] : (calm(X0) => (~rich(X0) <~> ~kind(X0))) [input p5]
14... | 0 |
If someone is not old or tall then susan is both humble and not quiet. Everyone who is either kind or not strong is humble or not rich and vice versa. Everyone who is either generous or not calm is both not curious and not old and vice versa. If paul is both kind and creative then fred is not calm. Everyone who is eith... | Lucy is not brave. | contradiction | ((?[X]:((~old(X)|tall(X))))=>((humble(susan)&~quiet(susan))))&
(![X]:((kind(X)<~>~strong(X))<=>(humble(X)|~rich(X))))&
(![X]:((generous(X)<~>~calm(X))<=>(~curious(X)&~old(X))))&
(((kind(paul)&creative(paul)))=>(~calm(fred)))&
(![X]:((happy(X)<~>creative(X))<=>(~old(X)<~>~curious(X))))&
(![X]:((rich(X)&~wise(X))<=>(~ric... | ~brave(lucy) | [
"p0",
"p1",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5552398847894812179881582
% SZS output start Proof for 5552398847894812179881582
1. ? [X0] : (tall(X0) | ~old(X0)) => (~quiet(susan) & humble(susan)) [input p0]
2. ! [X0] : ((kind(X0) <~> ~strong(X0)) <=> (~rich(X0) | humble(X0))) [input p1]
8. ! [X0] : (kind(X0) <=> ~strong(X0)) [input p... | 0 |
Everyone who is not quiet is not tall.
If mary is both not rich and not calm then lucy is either not rich or not kind and vice versa.
If john is kind or patient then someone is brave or strong and vice versa.
Everyone who is both not strong and rich is kind.
Everyone who is not quiet or old is both not tall and quiet a... | Mary is not rich. | neutral | (![X]:(~quiet(X)=>~tall(X)))&
(((~rich(mary)&~calm(mary)))<=>((~rich(lucy)<~>~kind(lucy))))&
(((kind(john)|patient(john)))<=>(?[X]:((brave(X)|strong(X)))))&
(![X]:((~strong(X)&rich(X))=>kind(X)))&
(![X]:((~quiet(X)|old(X))<=>(~tall(X)&quiet(X))))&
((?[X]:((strong(X)<~>~brave(X))))<=>(?[X]:((~old(X)&brave(X)))))&
(![X]:... | ~rich(mary) | [] | null | 0 |
Everyone who is not patient or tall is not generous and vice versa. Everyone who is not quiet or not happy is either not happy or tall. If someone is creative then susan is old and vice versa. If paul is generous then mary is tall and vice versa. Everyone who is quiet or not tall is kind. Everyone who is both rich and ... | Lucy is rich. | contradiction | (![X]:((~patient(X)|tall(X))<=>~generous(X)))&
(![X]:((~quiet(X)|~happy(X))=>(~happy(X)<~>tall(X))))&
((?[X]:(creative(X)))<=>(old(susan)))&
((generous(paul))<=>(tall(mary)))&
(![X]:((quiet(X)|~tall(X))=>kind(X)))&
(![X]:((rich(X)&~curious(X))<=>(old(X)&~old(X))))&
(![X]:((kind(X)|old(X))=>happy(X)))&
(![X]:((~curious(... | rich(lucy) | [
"p1",
"p4",
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8547150478243786403273627
% SZS output start Proof for 8547150478243786403273627
2. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (~happy(X0) <~> tall(X0))) [input p1]
5. ! [X0] : ((~tall(X0) | quiet(X0)) => kind(X0)) [input p4]
6. ! [X0] : ((~curious(X0) & rich(X0)) <=> (~old(X0) & old(X0))) [i... | 0 |
If someone is not humble then someone is either funny or happy and vice versa.
Everyone who is not patient is both old and funny and vice versa.
Everyone who is both not generous and strong is both rich and wise.
If someone is old then fred is both curious and not quiet and vice versa.
Everyone who is generous or not h... | Susan is humble. | contradiction | ((?[X]:(~humble(X)))<=>(?[X]:((funny(X)<~>happy(X)))))&
(![X]:(~patient(X)<=>(old(X)&funny(X))))&
(![X]:((~generous(X)&strong(X))=>(rich(X)&wise(X))))&
((?[X]:(old(X)))<=>((curious(fred)&~quiet(fred))))&
(![X]:((generous(X)|~happy(X))=>(creative(X)&~generous(X))))&
(![X]:((funny(X)&rich(X))<=>(~wise(X)&~happy(X))))&
((... | humble(susan) | [
"p4",
"p7",
"p8",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3758523123959710974171037
% SZS output start Proof for 3758523123959710974171037
5. ! [X0] : ((~happy(X0) | generous(X0)) => (~generous(X0) & creative(X0))) [input p4]
8. ! [X0] : (~generous(X0) <=> (wise(X0) <~> brave(X0))) [input p7]
9. ? [X0] : ~brave(X0) <=> happy(susan) [input p8]
12... | 0 |
Everyone who is both not kind and not brave is both curious and happy.
Everyone who is not wise is not tall or not funny and vice versa.
If someone is both quiet and not happy then someone is not old or not wise.
If lucy is not quiet or curious then someone is either not kind or calm and vice versa.
Everyone who is not... | Alice is not wise. | entailment | (![X]:((~kind(X)&~brave(X))=>(curious(X)&happy(X))))&
(![X]:(~wise(X)<=>(~tall(X)|~funny(X))))&
((?[X]:((quiet(X)&~happy(X))))=>(?[X]:((~old(X)|~wise(X)))))&
(((~quiet(lucy)|curious(lucy)))<=>(?[X]:((~kind(X)<~>calm(X)))))&
(![X]:(~tall(X)<=>(~rich(X)|quiet(X))))&
(![X]:((wise(X)&~brave(X))<=>(wise(X)<~>funny(X))))&
(!... | ~wise(alice) | [
"p1",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3585527109444299837720230
% SZS output start Proof for 3585527109444299837720230
2. ! [X0] : (~wise(X0) <=> (~funny(X0) | ~tall(X0))) [input p1]
5. ! [X0] : (~tall(X0) <=> (quiet(X0) | ~rich(X0))) [input p4]
7. ! [X0] : (~wise(X0) <=> (tall(X0) & rich(X0))) [input p6]
24. wise(alice) [inp... | 0 |
Everyone who is not tall or not brave is not old. Everyone who is both not brave and patient is not quiet and vice versa. Everyone who is both not tall and happy is both rich and tall. If someone is both not happy and old then someone is either humble or generous. If someone is curious or rich then someone is both rich... | Alice is tall. | neutral | (![X]:((~tall(X)|~brave(X))=>~old(X)))&
(![X]:((~brave(X)&patient(X))<=>~quiet(X)))&
(![X]:((~tall(X)&happy(X))=>(rich(X)&tall(X))))&
((?[X]:((~happy(X)&old(X))))=>(?[X]:((humble(X)<~>generous(X)))))&
((?[X]:((curious(X)|rich(X))))<=>(?[X]:((rich(X)&~generous(X)))))&
((?[X]:((generous(X)<~>wise(X))))=>(?[X]:(curious(X)... | tall(alice) | [] | null | 0 |
Everyone who is both happy and wise is not quiet or quiet and vice versa. If someone is either humble or patient then paul is old. Everyone who is not strong or kind is both wise and happy and vice versa. Everyone who is not calm or not happy is wise or curious. Everyone who is both kind and not humble is not strong or... | Mary is not patient. | neutral | (![X]:((happy(X)&wise(X))<=>(~quiet(X)|quiet(X))))&
((?[X]:((humble(X)<~>patient(X))))=>(old(paul)))&
(![X]:((~strong(X)|kind(X))<=>(wise(X)&happy(X))))&
(![X]:((~calm(X)|~happy(X))=>(wise(X)|curious(X))))&
(![X]:((kind(X)&~humble(X))<=>(~strong(X)|~patient(X))))&
((?[X]:((old(X)&humble(X))))=>(?[X]:((~humble(X)<~>wise... | ~patient(mary) | [] | null | 0 |
If lucy is not old or humble then someone is either patient or kind and vice versa.
Everyone who is both calm and not wise is either generous or not calm and vice versa.
If alice is both not humble and not creative then someone is either not patient or wise and vice versa.
Everyone who is both old and generous is not f... | Paul is tall. | contradiction | (((~old(lucy)|humble(lucy)))<=>(?[X]:((patient(X)<~>kind(X)))))&
(![X]:((calm(X)&~wise(X))<=>(generous(X)<~>~calm(X))))&
(((~humble(alice)&~creative(alice)))<=>(?[X]:((~patient(X)<~>wise(X)))))&
(![X]:((old(X)&generous(X))=>~funny(X)))&
(![X]:((~brave(X)|~happy(X))=>~brave(X)))&
((?[X]:((~wise(X)|brave(X))))=>(humble(l... | tall(paul) | [
"p1",
"p6",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6185735258206277963709820
% SZS output start Proof for 6185735258206277963709820
2. ! [X0] : ((~wise(X0) & calm(X0)) <=> (generous(X0) <~> ~calm(X0))) [input p1]
7. ! [X0] : ((generous(X0) | strong(X0)) => (calm(X0) & ~tall(X0))) [input p6]
10. ! [X0] : ((~happy(X0) & tall(X0)) <=> (wise(... | 0 |
Everyone who is not brave or strong is not calm and vice versa. Everyone who is both not creative and patient is curious and vice versa. If someone is both humble and generous then paul is not quiet or not kind and vice versa. Everyone who is wise or happy is both not generous and calm. If fred is both curious and kind... | Susan is not tall. | entailment | (![X]:((~brave(X)|strong(X))<=>~calm(X)))&
(![X]:((~creative(X)&patient(X))<=>curious(X)))&
((?[X]:((humble(X)&generous(X))))<=>((~quiet(paul)|~kind(paul))))&
(![X]:((wise(X)|happy(X))=>(~generous(X)&calm(X))))&
(((curious(fred)&kind(fred)))=>((wise(fred)&kind(fred))))&
(![X]:((~creative(X)&old(X))=>(wise(X)&old(X))))&... | ~tall(susan) | [
"p0",
"p3",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4720925980775631502141736
% SZS output start Proof for 4720925980775631502141736
1. ! [X0] : ((strong(X0) | ~brave(X0)) <=> ~calm(X0)) [input p0]
4. ! [X0] : ((happy(X0) | wise(X0)) => (calm(X0) & ~generous(X0))) [input p3]
10. ! [X0] : (~happy(X0) => (calm(X0) & quiet(X0))) [input p9]
15... | 0 |
Everyone who is not creative is creative or not tall and vice versa.
Everyone who is both happy and not patient is either not strong or generous and vice versa.
Everyone who is generous is not tall and vice versa.
If susan is not humble then someone is humble or funny.
Everyone who is either not calm or patient is not ... | Alice is not wise. | entailment | (![X]:(~creative(X)<=>(creative(X)|~tall(X))))&
(![X]:((happy(X)&~patient(X))<=>(~strong(X)<~>generous(X))))&
(![X]:(generous(X)<=>~tall(X)))&
((~humble(susan))=>(?[X]:((humble(X)|funny(X)))))&
(![X]:((~calm(X)<~>patient(X))<=>~old(X)))&
(![X]:(tall(X)=>(~strong(X)|~generous(X))))&
(![X]:((humble(X)<~>~quiet(X))=>(~ric... | ~wise(alice) | [
"p0",
"p2",
"p6",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9203849101250017531591922
% SZS output start Proof for 9203849101250017531591922
1. ! [X0] : (~creative(X0) <=> (~tall(X0) | creative(X0))) [input p0]
3. ! [X0] : (generous(X0) <=> ~tall(X0)) [input p2]
7. ! [X0] : ((humble(X0) <~> ~quiet(X0)) => (~generous(X0) & ~rich(X0))) [input p6]
11... | 0 |
Everyone who is not calm or brave is not wise.
If someone is creative or funny then someone is either not happy or happy.
If john is either old or not wise then lucy is either not generous or happy and vice versa.
If someone is humble or not tall then mary is not rich.
If someone is both not old and creative then someo... | Susan is not brave. | entailment | (![X]:((~calm(X)|brave(X))=>~wise(X)))&
((?[X]:((creative(X)|funny(X))))=>(?[X]:((~happy(X)<~>happy(X)))))&
(((old(john)<~>~wise(john)))<=>((~generous(lucy)<~>happy(lucy))))&
((?[X]:((humble(X)|~tall(X))))=>(~rich(mary)))&
((?[X]:((~old(X)&creative(X))))=>(?[X]:(funny(X))))&
(![X]:(quiet(X)<=>(~brave(X)|generous(X))))&... | ~brave(susan) | [
"p0",
"p4",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4261376086414698201220104
% SZS output start Proof for 4261376086414698201220104
1. ! [X0] : ((brave(X0) | ~calm(X0)) => ~wise(X0)) [input p0]
5. ? [X0] : (creative(X0) & ~old(X0)) => ? [X0] : funny(X0) [input p4]
7. ! [X0] : ((~kind(X0) & ~funny(X0)) <=> (funny(X0) <~> ~funny(X0))) [inpu... | 0 |
Everyone who is either not humble or kind is not rich and vice versa.
Everyone who is tall or not tall is either wise or curious.
Everyone who is brave or generous is both not generous and not kind and vice versa.
If someone is not humble or calm then john is happy or not brave.
Everyone who is both happy and generous ... | Susan is kind. | contradiction | (![X]:((~humble(X)<~>kind(X))<=>~rich(X)))&
(![X]:((tall(X)|~tall(X))=>(wise(X)<~>curious(X))))&
(![X]:((brave(X)|generous(X))<=>(~generous(X)&~kind(X))))&
((?[X]:((~humble(X)|calm(X))))=>((happy(john)|~brave(john))))&
(![X]:((happy(X)&generous(X))<=>(quiet(X)&kind(X))))&
((?[X]:(curious(X)))=>(tall(susan)))&
(((strong... | kind(susan) | [
"p1",
"p7",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7264314732627415777970750
% SZS output start Proof for 7264314732627415777970750
2. ! [X0] : ((~tall(X0) | tall(X0)) => (wise(X0) <~> curious(X0))) [input p1]
8. ! [X0] : ((wise(X0) <~> ~happy(X0)) <=> ~funny(X0)) [input p7]
18. curious(susan) <~> kind(susan) [input p17]
22. happy(susan) ... | 0 |
If lucy is either tall or not tall then someone is generous and vice versa.
Everyone who is both creative and brave is both generous and tall and vice versa.
If alice is not calm or not brave then paul is both creative and patient and vice versa.
Everyone who is not funny is generous.
If mary is either old or not curio... | Paul is brave. | entailment | (((tall(lucy)<~>~tall(lucy)))<=>(?[X]:(generous(X))))&
(![X]:((creative(X)&brave(X))<=>(generous(X)&tall(X))))&
(((~calm(alice)|~brave(alice)))<=>((creative(paul)&patient(paul))))&
(![X]:(~funny(X)=>generous(X)))&
(((old(mary)<~>~curious(mary)))=>((rich(paul)<~>~old(paul))))&
((?[X]:((tall(X)|~patient(X))))<=>(strong(m... | brave(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5920011240400221388295045
% SZS output start Proof for 5920011240400221388295045
12. ! [X0] : ((kind(X0) <~> ~brave(X0)) <=> (kind(X0) & ~brave(X0))) [input p11]
20. ~brave(paul) [input hypothesis]
51. ! [X0] : ((((brave(X0) | ~kind(X0)) & (~brave(X0) | kind(X0))) | (~kind(X0) | brave(X0)... | 0 |
If mary is creative or kind then paul is either old or not humble. If someone is quiet then paul is not rich. Everyone who is both old and not generous is tall. Everyone who is not patient or not funny is not brave or not happy and vice versa. If paul is not old or funny then someone is not wise and vice versa. Everyon... | John is not humble. | neutral | (((creative(mary)|kind(mary)))=>((old(paul)<~>~humble(paul))))&
((?[X]:(quiet(X)))=>(~rich(paul)))&
(![X]:((old(X)&~generous(X))=>tall(X)))&
(![X]:((~patient(X)|~funny(X))<=>(~brave(X)|~happy(X))))&
(((~old(paul)|funny(paul)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|curious(X))<=>patient(X)))&
((?[X]:((humble(X)<~>~cur... | ~humble(john) | [] | null | 0 |
Everyone who is either quiet or patient is happy or curious. Everyone who is not rich or old is brave or not generous and vice versa. Everyone who is either not tall or not funny is either funny or humble. If someone is wise then alice is kind and vice versa. If paul is either not wise or not kind then someone is eithe... | Susan is brave. | neutral | (![X]:((quiet(X)<~>patient(X))=>(happy(X)|curious(X))))&
(![X]:((~rich(X)|old(X))<=>(brave(X)|~generous(X))))&
(![X]:((~tall(X)<~>~funny(X))=>(funny(X)<~>humble(X))))&
((?[X]:(wise(X)))<=>(kind(alice)))&
(((~wise(paul)<~>~kind(paul)))=>(?[X]:((~happy(X)<~>~creative(X)))))&
(![X]:((curious(X)<~>~funny(X))<=>wise(X)))&
(... | brave(susan) | [] | null | 0 |
If someone is not calm or not happy then someone is not old or wise. If john is not old or tall then someone is both not happy and humble. Everyone who is either tall or not curious is both not old and creative and vice versa. Everyone who is humble or not wise is not funny or brave and vice versa. If mary is both quie... | John is not old. | neutral | ((?[X]:((~calm(X)|~happy(X))))=>(?[X]:((~old(X)|wise(X)))))&
(((~old(john)|tall(john)))=>(?[X]:((~happy(X)&humble(X)))))&
(![X]:((tall(X)<~>~curious(X))<=>(~old(X)&creative(X))))&
(![X]:((humble(X)|~wise(X))<=>(~funny(X)|brave(X))))&
(((quiet(mary)&rich(mary)))<=>(?[X]:((wise(X)|~patient(X)))))&
(((~brave(john)|humble(... | ~old(john) | [] | null | 0 |
If susan is strong then someone is either not strong or not brave.
If someone is both curious and kind then someone is either not rich or not strong.
Everyone who is both wise and brave is both old and tall and vice versa.
If someone is kind or generous then someone is both not generous and kind and vice versa.
If some... | Paul is not patient. | neutral | ((strong(susan))=>(?[X]:((~strong(X)<~>~brave(X)))))&
((?[X]:((curious(X)&kind(X))))=>(?[X]:((~rich(X)<~>~strong(X)))))&
(![X]:((wise(X)&brave(X))<=>(old(X)&tall(X))))&
((?[X]:((kind(X)|generous(X))))<=>(?[X]:((~generous(X)&kind(X)))))&
((?[X]:(tall(X)))=>(?[X]:((~patient(X)<~>~strong(X)))))&
(![X]:((~tall(X)|calm(X))<... | ~patient(paul) | [] | null | 0 |
If alice is tall or not old then lucy is both happy and not humble and vice versa. Everyone who is patient or curious is either kind or calm. Everyone who is both not wise and not brave is either not brave or not tall. If john is both humble and not patient then john is both patient and tall. If alice is not rich then ... | Fred is not patient. | neutral | (((tall(alice)|~old(alice)))<=>((happy(lucy)&~humble(lucy))))&
(![X]:((patient(X)|curious(X))=>(kind(X)<~>calm(X))))&
(![X]:((~wise(X)&~brave(X))=>(~brave(X)<~>~tall(X))))&
(((humble(john)&~patient(john)))=>((patient(john)&tall(john))))&
((~rich(alice))=>(?[X]:((~happy(X)&~creative(X)))))&
(((humble(john)<~>~rich(john)... | ~patient(fred) | [] | null | 0 |
If someone is not humble or not creative then alice is either not creative or not quiet and vice versa.
Everyone who is either not tall or brave is both not quiet and not rich.
If john is both old and not calm then someone is either kind or not curious and vice versa.
Everyone who is not funny or not curious is calm an... | Alice is not tall. | contradiction | ((?[X]:((~humble(X)|~creative(X))))<=>((~creative(alice)<~>~quiet(alice))))&
(![X]:((~tall(X)<~>brave(X))=>(~quiet(X)&~rich(X))))&
(((old(john)&~calm(john)))<=>(?[X]:((kind(X)<~>~curious(X)))))&
(![X]:((~funny(X)|~curious(X))<=>calm(X)))&
(![X]:((tall(X)&humble(X))<=>(calm(X)<~>~tall(X))))&
(![X]:((~brave(X)|~humble(X)... | ~tall(alice) | [
"p4",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8088164422747476670603059
% SZS output start Proof for 8088164422747476670603059
5. ! [X0] : ((humble(X0) & tall(X0)) <=> (calm(X0) <~> ~tall(X0))) [input p4]
11. ! [X0] : ((brave(X0) & generous(X0)) <=> (~brave(X0) <~> ~calm(X0))) [input p10]
18. patient(alice) & generous(alice) [input p... | 0 |
Everyone who is both calm and kind is both humble and happy and vice versa.
If someone is both not tall and not quiet then paul is both not quiet and creative.
Everyone who is both not quiet and not funny is patient and vice versa.
Everyone who is both patient and not rich is both not happy and not creative and vice ve... | Paul is happy. | contradiction | (![X]:((calm(X)&kind(X))<=>(humble(X)&happy(X))))&
((?[X]:((~tall(X)&~quiet(X))))=>((~quiet(paul)&creative(paul))))&
(![X]:((~quiet(X)&~funny(X))<=>patient(X)))&
(![X]:((patient(X)&~rich(X))<=>(~happy(X)&~creative(X))))&
(![X]:((~patient(X)<~>~humble(X))<=>tall(X)))&
((~wise(paul))<=>(rich(john)))&
((?[X]:(~happy(X)))<... | happy(paul) | [
"p0",
"p1",
"p2",
"p4",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5533424687574840757849748
% SZS output start Proof for 5533424687574840757849748
1. ! [X0] : ((kind(X0) & calm(X0)) <=> (happy(X0) & humble(X0))) [input p0]
2. ? [X0] : (~quiet(X0) & ~tall(X0)) => (creative(paul) & ~quiet(paul)) [input p1]
3. ! [X0] : ((~funny(X0) & ~quiet(X0)) <=> patien... | 0 |
Everyone who is calm is both not brave and generous.
Everyone who is calm or kind is not creative or patient and vice versa.
Everyone who is generous is curious or not happy.
Everyone who is either kind or not happy is creative or tall.
If someone is generous or quiet then someone is not patient.
Everyone who is both n... | Susan is quiet. | neutral | (![X]:(calm(X)=>(~brave(X)&generous(X))))&
(![X]:((calm(X)|kind(X))<=>(~creative(X)|patient(X))))&
(![X]:(generous(X)=>(curious(X)|~happy(X))))&
(![X]:((kind(X)<~>~happy(X))=>(creative(X)|tall(X))))&
((?[X]:((generous(X)|quiet(X))))=>(?[X]:(~patient(X))))&
(![X]:((~rich(X)&brave(X))<=>(~brave(X)&~rich(X))))&
(![X]:(~ol... | quiet(susan) | [] | null | 0 |
If alice is both not brave and kind then someone is generous.
If someone is wise or not calm then someone is both not curious and not strong.
Everyone who is both not calm and curious is either brave or not strong.
Everyone who is both not happy and not quiet is either not funny or rich.
Everyone who is both not tall a... | John is not quiet. | entailment | (((~brave(alice)&kind(alice)))=>(?[X]:(generous(X))))&
((?[X]:((wise(X)|~calm(X))))=>(?[X]:((~curious(X)&~strong(X)))))&
(![X]:((~calm(X)&curious(X))=>(brave(X)<~>~strong(X))))&
(![X]:((~happy(X)&~quiet(X))=>(~funny(X)<~>rich(X))))&
(![X]:((~tall(X)&~brave(X))<=>(~old(X)|humble(X))))&
(((~curious(paul)&~strong(paul)))=... | ~quiet(john) | [
"p6",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6707745353099285084896709
% SZS output start Proof for 6707745353099285084896709
7. ! [X0] : ((brave(X0) | calm(X0)) <=> (creative(X0) & ~humble(X0))) [input p6]
11. ! [X0] : ((~generous(X0) | quiet(X0)) => humble(X0)) [input p10]
20. calm(john) & happy(john) [input p19]
24. quiet(john) [... | 0 |
Everyone who is not wise or not humble is rich.
If paul is both patient and wise then someone is funny.
Everyone who is either humble or rich is not patient and vice versa.
Everyone who is both not patient and happy is either brave or not quiet and vice versa.
Everyone who is not generous is both not patient and rich.
... | Lucy is not curious. | neutral | (![X]:((~wise(X)|~humble(X))=>rich(X)))&
(((patient(paul)&wise(paul)))=>(?[X]:(funny(X))))&
(![X]:((humble(X)<~>rich(X))<=>~patient(X)))&
(![X]:((~patient(X)&happy(X))<=>(brave(X)<~>~quiet(X))))&
(![X]:(~generous(X)=>(~patient(X)&rich(X))))&
((humble(alice))=>(?[X]:(humble(X))))&
(![X]:((strong(X)|curious(X))<=>(happy(... | ~curious(lucy) | [] | null | 0 |
If someone is not calm or not strong then someone is both old and not kind.
Everyone who is not kind is either not creative or patient.
If paul is not patient or not funny then someone is both not curious and not quiet and vice versa.
Everyone who is either humble or not curious is either not tall or not wise.
Everyone... | Fred is not old. | neutral | ((?[X]:((~calm(X)|~strong(X))))=>(?[X]:((old(X)&~kind(X)))))&
(![X]:(~kind(X)=>(~creative(X)<~>patient(X))))&
(((~patient(paul)|~funny(paul)))<=>(?[X]:((~curious(X)&~quiet(X)))))&
(![X]:((humble(X)<~>~curious(X))=>(~tall(X)<~>~wise(X))))&
(![X]:(tall(X)<=>(patient(X)<~>strong(X))))&
(![X]:((happy(X)&~calm(X))=>(strong(... | ~old(fred) | [] | null | 0 |
Everyone who is strong is happy or not old and vice versa.
Everyone who is both rich and not calm is both wise and tall.
Everyone who is not creative or humble is both wise and not calm.
If someone is either not funny or curious then someone is both not patient and generous and vice versa.
Everyone who is both not happ... | Fred is not wise. | entailment | (![X]:(strong(X)<=>(happy(X)|~old(X))))&
(![X]:((rich(X)&~calm(X))=>(wise(X)&tall(X))))&
(![X]:((~creative(X)|humble(X))=>(wise(X)&~calm(X))))&
((?[X]:((~funny(X)<~>curious(X))))<=>(?[X]:((~patient(X)&generous(X)))))&
(![X]:((~happy(X)&~tall(X))<=>humble(X)))&
(![X]:(old(X)<=>patient(X)))&
((?[X]:((~brave(X)<~>strong(X... | ~wise(fred) | [
"p0",
"p5",
"p10",
"p11",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4630523851422947938669391
% SZS output start Proof for 4630523851422947938669391
1. ! [X0] : (strong(X0) <=> (~old(X0) | happy(X0))) [input p0]
6. ! [X0] : (old(X0) <=> patient(X0)) [input p5]
11. ! [X0] : ((~patient(X0) <~> ~generous(X0)) <=> (wise(X0) <~> ~strong(X0))) [input p10]
12. !... | 0 |
Everyone who is strong or calm is both strong and brave.
Everyone who is wise is either not rich or not humble.
Everyone who is not strong or kind is not tall and vice versa.
Everyone who is both not quiet and generous is not wise and vice versa.
Everyone who is both not humble and curious is not patient or rich.
Every... | Lucy is not strong. | contradiction | (![X]:((strong(X)|calm(X))=>(strong(X)&brave(X))))&
(![X]:(wise(X)=>(~rich(X)<~>~humble(X))))&
(![X]:((~strong(X)|kind(X))<=>~tall(X)))&
(![X]:((~quiet(X)&generous(X))<=>~wise(X)))&
(![X]:((~humble(X)&curious(X))=>(~patient(X)|rich(X))))&
(![X]:(~strong(X)<=>(~kind(X)<~>old(X))))&
(((old(alice)|quiet(alice)))<=>(?[X]:(... | ~strong(lucy) | [
"p0",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9136338845503959501440601
% SZS output start Proof for 9136338845503959501440601
1. ! [X0] : ((calm(X0) | strong(X0)) => (brave(X0) & strong(X0))) [input p0]
23. calm(lucy) [input p22]
25. ~strong(lucy) [input hypothesis]
27. ! [X0] : ((calm(X0) | strong(X0)) => strong(X0)) [pure predicat... | 0 |
If susan is not quiet or not happy then susan is kind and vice versa.
Everyone who is either not kind or rich is both patient and creative and vice versa.
Everyone who is both old and kind is happy or tall and vice versa.
Everyone who is not patient is tall.
If susan is kind then paul is either kind or not curious and ... | Fred is brave. | neutral | (((~quiet(susan)|~happy(susan)))<=>(kind(susan)))&
(![X]:((~kind(X)<~>rich(X))<=>(patient(X)&creative(X))))&
(![X]:((old(X)&kind(X))<=>(happy(X)|tall(X))))&
(![X]:(~patient(X)=>tall(X)))&
((kind(susan))<=>((kind(paul)<~>~curious(paul))))&
(![X]:((~generous(X)<~>~brave(X))<=>(~humble(X)|~brave(X))))&
((?[X]:(calm(X)))<=... | brave(fred) | [] | null | 0 |
Everyone who is either quiet or not generous is patient or curious.
Everyone who is both not brave and generous is not rich and vice versa.
Everyone who is wise is both old and tall.
Everyone who is both quiet and not happy is either not creative or rich.
Everyone who is both generous and humble is either not wise or w... | Susan is patient. | contradiction | (![X]:((quiet(X)<~>~generous(X))=>(patient(X)|curious(X))))&
(![X]:((~brave(X)&generous(X))<=>~rich(X)))&
(![X]:(wise(X)=>(old(X)&tall(X))))&
(![X]:((quiet(X)&~happy(X))=>(~creative(X)<~>rich(X))))&
(![X]:((generous(X)&humble(X))<=>(~wise(X)<~>wise(X))))&
((?[X]:((~brave(X)&generous(X))))<=>((~wise(fred)<~>~quiet(fred)... | patient(susan) | [
"p4",
"p7",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2982901656034513869617439
% SZS output start Proof for 2982901656034513869617439
5. ! [X0] : ((humble(X0) & generous(X0)) <=> (~wise(X0) <~> wise(X0))) [input p4]
8. ! [X0] : ((~calm(X0) | ~curious(X0)) <=> (~brave(X0) & ~quiet(X0))) [input p7]
13. ! [X0] : ((humble(X0) & ~quiet(X0)) <=> ... | 0 |
If paul is both not creative and kind then susan is both happy and not tall.
Everyone who is not quiet or old is not patient or calm and vice versa.
If someone is not creative then paul is old and vice versa.
If susan is either generous or not quiet then lucy is not rich.
Everyone who is wise is creative or happy and v... | Alice is calm. | neutral | (((~creative(paul)&kind(paul)))=>((happy(susan)&~tall(susan))))&
(![X]:((~quiet(X)|old(X))<=>(~patient(X)|calm(X))))&
((?[X]:(~creative(X)))<=>(old(paul)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)<=>(creative(X)|happy(X))))&
(![X]:(funny(X)<=>(~creative(X)&generous(X))))&
(((tall(paul)<~>~c... | calm(alice) | [] | null | 0 |
Everyone who is not rich or old is rich.
Everyone who is either calm or wise is either quiet or not wise.
Everyone who is both not rich and happy is both old and happy.
Everyone who is strong is humble or funny and vice versa.
Everyone who is not brave is old.
If lucy is either kind or not strong then someone is happy ... | Fred is tall. | neutral | (![X]:((~rich(X)|old(X))=>rich(X)))&
(![X]:((calm(X)<~>wise(X))=>(quiet(X)<~>~wise(X))))&
(![X]:((~rich(X)&happy(X))=>(old(X)&happy(X))))&
(![X]:(strong(X)<=>(humble(X)|funny(X))))&
(![X]:(~brave(X)=>old(X)))&
(((kind(lucy)<~>~strong(lucy)))=>(?[X]:((happy(X)|~creative(X)))))&
(![X]:((~happy(X)&~tall(X))<=>(~tall(X)&fu... | tall(fred) | [] | null | 0 |
Everyone who is curious is either strong or happy and vice versa. Everyone who is old is calm or not wise and vice versa. Everyone who is happy or strong is not strong. Everyone who is both quiet and not brave is either tall or not brave and vice versa. If lucy is both old and not generous then paul is either calm or n... | Mary is brave. | contradiction | (![X]:(curious(X)<=>(strong(X)<~>happy(X))))&
(![X]:(old(X)<=>(calm(X)|~wise(X))))&
(![X]:((happy(X)|strong(X))=>~strong(X)))&
(![X]:((quiet(X)&~brave(X))<=>(tall(X)<~>~brave(X))))&
(((old(lucy)&~generous(lucy)))=>((calm(paul)<~>~tall(paul))))&
(![X]:((creative(X)|wise(X))<=>(calm(X)<~>strong(X))))&
(![X]:((~wise(X)<~>... | brave(mary) | [
"p1",
"p2",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1986480806821878085725330
% SZS output start Proof for 1986480806821878085725330
2. ! [X0] : (old(X0) <=> (~wise(X0) | calm(X0))) [input p1]
3. ! [X0] : ((strong(X0) | happy(X0)) => ~strong(X0)) [input p2]
6. ! [X0] : ((wise(X0) | creative(X0)) <=> (calm(X0) <~> strong(X0))) [input p5]
9.... | 0 |
Everyone who is funny or not kind is both old and strong.
Everyone who is both kind and curious is happy.
Everyone who is not tall is creative and vice versa.
If someone is both generous and calm then mary is not wise or not strong.
If lucy is not kind then paul is not patient or old.
If someone is not happy then someo... | Paul is not strong. | neutral | (![X]:((funny(X)|~kind(X))=>(old(X)&strong(X))))&
(![X]:((kind(X)&curious(X))=>happy(X)))&
(![X]:(~tall(X)<=>creative(X)))&
((?[X]:((generous(X)&calm(X))))=>((~wise(mary)|~strong(mary))))&
((~kind(lucy))=>((~patient(paul)|old(paul))))&
((?[X]:(~happy(X)))<=>(?[X]:((~quiet(X)<~>~curious(X)))))&
(![X]:((~wise(X)&~patient... | ~strong(paul) | [] | null | 0 |
Everyone who is both kind and not happy is either not happy or rich and vice versa. Everyone who is not quiet or not brave is calm or not wise. Everyone who is not tall or tall is brave and vice versa. If john is either quiet or not tall then someone is not old or happy and vice versa. If alice is creative then mary is... | Mary is strong. | neutral | (![X]:((kind(X)&~happy(X))<=>(~happy(X)<~>rich(X))))&
(![X]:((~quiet(X)|~brave(X))=>(calm(X)|~wise(X))))&
(![X]:((~tall(X)|tall(X))<=>brave(X)))&
(((quiet(john)<~>~tall(john)))<=>(?[X]:((~old(X)|happy(X)))))&
((creative(alice))<=>(curious(mary)))&
(![X]:((quiet(X)|generous(X))=>~curious(X)))&
(![X]:(~kind(X)=>(~brave(X... | strong(mary) | [] | null | 0 |
If paul is either kind or not calm then mary is creative.
If someone is funny or humble then fred is either not brave or rich and vice versa.
Everyone who is either curious or not calm is both not wise and not humble.
Everyone who is either not curious or rich is either quiet or not tall.
Everyone who is either not old... | Alice is creative. | entailment | (((kind(paul)<~>~calm(paul)))=>(creative(mary)))&
((?[X]:((funny(X)|humble(X))))<=>((~brave(fred)<~>rich(fred))))&
(![X]:((curious(X)<~>~calm(X))=>(~wise(X)&~humble(X))))&
(![X]:((~curious(X)<~>rich(X))=>(quiet(X)<~>~tall(X))))&
(![X]:((~old(X)<~>strong(X))<=>(strong(X)<~>~wise(X))))&
(![X]:(curious(X)<=>(~generous(X)<... | creative(alice) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8181951848649198301422097
% SZS output start Proof for 8181951848649198301422097
3. ! [X0] : ((curious(X0) <~> ~calm(X0)) => (~humble(X0) & ~wise(X0))) [input p2]
5. ! [X0] : ((~old(X0) <~> strong(X0)) <=> (strong(X0) <~> ~wise(X0))) [input p4]
6. ! [X0] : (curious(X0) <=> (~generous(X0) ... | 0 |
If someone is both curious and not kind then lucy is not rich or brave. Everyone who is both not old and kind is not curious or curious and vice versa. If someone is either wise or rich then someone is either old or not rich and vice versa. If someone is both not wise and strong then someone is curious. If someone is e... | Mary is curious. | entailment | ((?[X]:((curious(X)&~kind(X))))=>((~rich(lucy)|brave(lucy))))&
(![X]:((~old(X)&kind(X))<=>(~curious(X)|curious(X))))&
((?[X]:((wise(X)<~>rich(X))))<=>(?[X]:((old(X)<~>~rich(X)))))&
((?[X]:((~wise(X)&strong(X))))=>(?[X]:(curious(X))))&
((?[X]:((humble(X)<~>curious(X))))<=>((generous(lucy)&old(lucy))))&
((?[X]:((happy(X)... | curious(mary) | [
"p5",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8253758857763289930667498
% SZS output start Proof for 8253758857763289930667498
6. ? [X0] : (~calm(X0) | happy(X0)) => ~patient(mary) [input p5]
14. ! [X0] : (creative(X0) <=> ~calm(X0)) [input p13]
15. ! [X0] : ((~patient(X0) | tall(X0)) => ~funny(X0)) [input p14]
16. ! [X0] : (~funny(X... | 0 |
Everyone who is both not humble and not happy is both not happy and not strong and vice versa.
If alice is either quiet or curious then fred is both not funny and not kind.
Everyone who is both not happy and wise is either not humble or not tall.
If someone is both brave and not creative then lucy is not brave.
If alic... | Paul is generous. | neutral | (![X]:((~humble(X)&~happy(X))<=>(~happy(X)&~strong(X))))&
(((quiet(alice)<~>curious(alice)))=>((~funny(fred)&~kind(fred))))&
(![X]:((~happy(X)&wise(X))=>(~humble(X)<~>~tall(X))))&
((?[X]:((brave(X)&~creative(X))))=>(~brave(lucy)))&
(((~quiet(alice)&funny(alice)))<=>((creative(lucy)<~>~curious(lucy))))&
(![X]:((old(X)&~... | generous(paul) | [] | null | 0 |
If someone is not kind then someone is both rich and not happy. If someone is both generous and curious then someone is rich and vice versa. Everyone who is not kind or not wise is not old or not patient. Everyone who is both kind and humble is generous or happy and vice versa. Everyone who is both rich and funny is no... | Alice is not kind. | entailment | ((?[X]:(~kind(X)))=>(?[X]:((rich(X)&~happy(X)))))&
((?[X]:((generous(X)&curious(X))))<=>(?[X]:(rich(X))))&
(![X]:((~kind(X)|~wise(X))=>(~old(X)|~patient(X))))&
(![X]:((kind(X)&humble(X))<=>(generous(X)|happy(X))))&
(![X]:((rich(X)&funny(X))<=>(~old(X)|wise(X))))&
(![X]:((wise(X)<~>~curious(X))=>(curious(X)&~brave(X))))... | ~kind(alice) | [
"p3",
"p4",
"p5",
"p7",
"p10",
"p15",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7276069756467175568218162
% SZS output start Proof for 7276069756467175568218162
4. ! [X0] : ((humble(X0) & kind(X0)) <=> (happy(X0) | generous(X0))) [input p3]
5. ! [X0] : ((funny(X0) & rich(X0)) <=> (wise(X0) | ~old(X0))) [input p4]
6. ! [X0] : ((wise(X0) <~> ~curious(X0)) => (~brave(X0... | 0 |
If someone is both curious and not old then someone is wise and vice versa.
Everyone who is either not wise or not rich is not tall and vice versa.
If someone is either not creative or humble then someone is both not funny and patient and vice versa.
Everyone who is either not generous or not brave is not generous or h... | Alice is strong. | contradiction | ((?[X]:((curious(X)&~old(X))))<=>(?[X]:(wise(X))))&
(![X]:((~wise(X)<~>~rich(X))<=>~tall(X)))&
((?[X]:((~creative(X)<~>humble(X))))<=>(?[X]:((~funny(X)&patient(X)))))&
(![X]:((~generous(X)<~>~brave(X))<=>(~generous(X)|happy(X))))&
((?[X]:((old(X)&generous(X))))<=>(wise(susan)))&
(![X]:((curious(X)|~curious(X))=>(~happy... | strong(alice) | [
"p0",
"p3",
"p5",
"p6",
"p8",
"p10",
"p11",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8474155542864813251589618
% SZS output start Proof for 8474155542864813251589618
1. ? [X0] : (~old(X0) & curious(X0)) <=> ? [X0] : wise(X0) [input p0]
4. ! [X0] : ((~generous(X0) <~> ~brave(X0)) <=> (happy(X0) | ~generous(X0))) [input p3]
6. ! [X0] : ((~curious(X0) | curious(X0)) => (~hap... | 0 |
Everyone who is quiet is either not wise or tall and vice versa.
Everyone who is happy or patient is both not creative and calm and vice versa.
If alice is both not rich and not happy then paul is both not humble and old.
If paul is tall then lucy is both not wise and generous and vice versa.
Everyone who is either tal... | Alice is not curious. | neutral | (![X]:(quiet(X)<=>(~wise(X)<~>tall(X))))&
(![X]:((happy(X)|patient(X))<=>(~creative(X)&calm(X))))&
(((~rich(alice)&~happy(alice)))=>((~humble(paul)&old(paul))))&
((tall(paul))<=>((~wise(lucy)&generous(lucy))))&
(![X]:((tall(X)<~>~old(X))<=>(happy(X)<~>~creative(X))))&
((?[X]:((~patient(X)<~>~generous(X))))<=>(?[X]:((~o... | ~curious(alice) | [] | null | 0 |
Everyone who is both not creative and strong is either not kind or not wise.
Everyone who is either happy or patient is not humble.
If someone is not humble or creative then someone is both not funny and not brave.
Everyone who is not funny or not creative is old or quiet.
Everyone who is both not calm and old is eithe... | Fred is brave. | neutral | (![X]:((~creative(X)&strong(X))=>(~kind(X)<~>~wise(X))))&
(![X]:((happy(X)<~>patient(X))=>~humble(X)))&
((?[X]:((~humble(X)|creative(X))))=>(?[X]:((~funny(X)&~brave(X)))))&
(![X]:((~funny(X)|~creative(X))=>(old(X)|quiet(X))))&
(![X]:((~calm(X)&old(X))<=>(calm(X)<~>~patient(X))))&
((?[X]:(rich(X)))<=>(?[X]:((humble(X)&~... | brave(fred) | [] | null | 0 |
Everyone who is both not creative and quiet is not strong or not happy and vice versa. If fred is either rich or kind then someone is not patient or not funny and vice versa. If someone is both not rich and not happy then lucy is not tall or not humble. Everyone who is not brave is either not calm or brave. If susan is... | Mary is old. | neutral | (![X]:((~creative(X)&quiet(X))<=>(~strong(X)|~happy(X))))&
(((rich(fred)<~>kind(fred)))<=>(?[X]:((~patient(X)|~funny(X)))))&
((?[X]:((~rich(X)&~happy(X))))=>((~tall(lucy)|~humble(lucy))))&
(![X]:(~brave(X)=>(~calm(X)<~>brave(X))))&
((creative(susan))<=>((~tall(paul)|patient(paul))))&
((?[X]:(rich(X)))<=>(?[X]:(wise(X))... | old(mary) | [] | null | 0 |
If someone is both patient and not calm then someone is both tall and not tall. If someone is funny then alice is strong or not generous. Everyone who is not strong or kind is both calm and not old. Everyone who is not brave or not strong is old or wise. If someone is not curious or old then someone is not quiet. If so... | Paul is not rich. | neutral | ((?[X]:((patient(X)&~calm(X))))=>(?[X]:((tall(X)&~tall(X)))))&
((?[X]:(funny(X)))=>((strong(alice)|~generous(alice))))&
(![X]:((~strong(X)|kind(X))=>(calm(X)&~old(X))))&
(![X]:((~brave(X)|~strong(X))=>(old(X)|wise(X))))&
((?[X]:((~curious(X)|old(X))))=>(?[X]:(~quiet(X))))&
((?[X]:(wise(X)))=>((~patient(paul)|curious(pa... | ~rich(paul) | [] | null | 0 |
Everyone who is both quiet and kind is either not tall or brave and vice versa. If lucy is both not wise and not kind then someone is both creative and not strong. Everyone who is both not happy and not strong is not funny or not brave and vice versa. Everyone who is both humble and not patient is not kind and vice ver... | Fred is not creative. | entailment | (![X]:((quiet(X)&kind(X))<=>(~tall(X)<~>brave(X))))&
(((~wise(lucy)&~kind(lucy)))=>(?[X]:((creative(X)&~strong(X)))))&
(![X]:((~happy(X)&~strong(X))<=>(~funny(X)|~brave(X))))&
(![X]:((humble(X)&~patient(X))<=>~kind(X)))&
((?[X]:((wise(X)|~humble(X))))=>(?[X]:(quiet(X))))&
(((brave(john)<~>~rich(john)))=>((funny(lucy)|h... | ~creative(fred) | [
"p2",
"p3",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3586660946537670656468337
% SZS output start Proof for 3586660946537670656468337
3. ! [X0] : ((~strong(X0) & ~happy(X0)) <=> (~brave(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~patient(X0) & humble(X0)) <=> ~kind(X0)) [input p3]
10. ! [X0] : ((~humble(X0) | funny(X0)) => (strong(X0) & ~c... | 0 |
Everyone who is not humble or rich is generous.
Everyone who is not generous or not rich is brave.
If someone is both calm and rich then susan is either not rich or not wise and vice versa.
If paul is either generous or old then someone is wise and vice versa.
Everyone who is quiet or not calm is both not strong and no... | Alice is tall. | contradiction | (![X]:((~humble(X)|rich(X))=>generous(X)))&
(![X]:((~generous(X)|~rich(X))=>brave(X)))&
((?[X]:((calm(X)&rich(X))))<=>((~rich(susan)<~>~wise(susan))))&
(((generous(paul)<~>old(paul)))<=>(?[X]:(wise(X))))&
(![X]:((quiet(X)|~calm(X))<=>(~strong(X)&~rich(X))))&
(![X]:((~patient(X)<~>tall(X))<=>~generous(X)))&
(![X]:((kind... | tall(alice) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2360457787022893977535288
% SZS output start Proof for 2360457787022893977535288
1. ! [X0] : ((rich(X0) | ~humble(X0)) => generous(X0)) [input p0]
4. (generous(paul) <~> old(paul)) <=> ? [X0] : wise(X0) [input p3]
5. ! [X0] : ((~calm(X0) | quiet(X0)) <=> (~rich(X0) & ~strong(X0))) [input ... | 0 |
If lucy is either creative or rich then someone is not patient and vice versa. If someone is strong or tall then paul is either not curious or not old. If someone is not patient then someone is not creative or curious and vice versa. Everyone who is either not humble or kind is not funny. If someone is either creative ... | Mary is not brave. | contradiction | (((creative(lucy)<~>rich(lucy)))<=>(?[X]:(~patient(X))))&
((?[X]:((strong(X)|tall(X))))=>((~curious(paul)<~>~old(paul))))&
((?[X]:(~patient(X)))<=>(?[X]:((~creative(X)|curious(X)))))&
(![X]:((~humble(X)<~>kind(X))=>~funny(X)))&
((?[X]:((creative(X)<~>kind(X))))<=>((~tall(mary)<~>~humble(mary))))&
(![X]:((~curious(X)|~q... | ~brave(mary) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2820154881928318613556603
% SZS output start Proof for 2820154881928318613556603
21. rich(mary) & brave(mary) [input p20]
25. ~brave(mary) [input hypothesis]
157. brave(mary) [cnf transformation 21]
163. ~brave(mary) [cnf transformation 25]
412. $false [subsumption resolution 163,157]
% S... | 0 |
If someone is either not creative or kind then someone is not rich. If someone is tall then paul is happy. Everyone who is both tall and not old is either patient or calm and vice versa. If someone is both creative and rich then someone is either not funny or rich and vice versa. Everyone who is both not strong and hap... | Paul is not wise. | entailment | ((?[X]:((~creative(X)<~>kind(X))))=>(?[X]:(~rich(X))))&
((?[X]:(tall(X)))=>(happy(paul)))&
(![X]:((tall(X)&~old(X))<=>(patient(X)<~>calm(X))))&
((?[X]:((creative(X)&rich(X))))<=>(?[X]:((~funny(X)<~>rich(X)))))&
(![X]:((~strong(X)&happy(X))<=>(~calm(X)&~brave(X))))&
((?[X]:((kind(X)&~generous(X))))<=>((patient(fred)<~>c... | ~wise(paul) | [
"p1",
"p2",
"p4",
"p6",
"p8",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 866109711270866814044116
% SZS output start Proof for 866109711270866814044116
2. ? [X0] : tall(X0) => happy(paul) [input p1]
3. ! [X0] : ((~old(X0) & tall(X0)) <=> (patient(X0) <~> calm(X0))) [input p2]
5. ! [X0] : ((happy(X0) & ~strong(X0)) <=> (~brave(X0) & ~calm(X0))) [input p4]
7. ! ... | 0 |
Everyone who is both not creative and curious is not humble. Everyone who is either not creative or generous is either not patient or old. Everyone who is either not generous or quiet is not patient and vice versa. Everyone who is both not tall and not happy is either quiet or humble and vice versa. Everyone who is cur... | Fred is strong. | entailment | (![X]:((~creative(X)&curious(X))=>~humble(X)))&
(![X]:((~creative(X)<~>generous(X))=>(~patient(X)<~>old(X))))&
(![X]:((~generous(X)<~>quiet(X))<=>~patient(X)))&
(![X]:((~tall(X)&~happy(X))<=>(quiet(X)<~>humble(X))))&
(![X]:(curious(X)<=>(old(X)<~>~patient(X))))&
(![X]:(funny(X)<=>(~funny(X)|~creative(X))))&
(((~curious... | strong(fred) | [
"p2",
"p5",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 247127391256251191573142
% SZS output start Proof for 247127391256251191573142
3. ! [X0] : ((~generous(X0) <~> quiet(X0)) <=> ~patient(X0)) [input p2]
6. ! [X0] : (funny(X0) <=> (~creative(X0) | ~funny(X0))) [input p5]
9. ! [X0] : ((~happy(X0) & happy(X0)) <=> (quiet(X0) | calm(X0))) [inp... | 0 |
Everyone who is not funny is either not rich or brave and vice versa. If john is not rich or not calm then someone is happy or curious and vice versa. Everyone who is not calm is not tall. Everyone who is either creative or not patient is strong. If someone is either quiet or tall then fred is not brave or not happy an... | Lucy is not strong. | contradiction | (![X]:(~funny(X)<=>(~rich(X)<~>brave(X))))&
(((~rich(john)|~calm(john)))<=>(?[X]:((happy(X)|curious(X)))))&
(![X]:(~calm(X)=>~tall(X)))&
(![X]:((creative(X)<~>~patient(X))=>strong(X)))&
((?[X]:((quiet(X)<~>tall(X))))<=>((~brave(fred)|~happy(fred))))&
(![X]:(~generous(X)=>(~happy(X)|strong(X))))&
(![X]:((humble(X)&~pati... | ~strong(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8223437123519645963638074
% SZS output start Proof for 8223437123519645963638074
11. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => strong(X0)) [input p10]
24. ~strong(lucy) [input hypothesis]
32. ! [X0] : (strong(X0) | (~quiet(X0) <=> quiet(X0))) [ennf transformation 11]
62. ! [X0] : (strong(X0... | 0 |
If someone is quiet or not humble then someone is tall or not rich and vice versa.
If someone is not wise then someone is not humble.
Everyone who is not kind or not humble is not old and vice versa.
If someone is both not wise and brave then lucy is not brave or generous.
Everyone who is not kind is not wise and vice ... | Fred is generous. | entailment | ((?[X]:((quiet(X)|~humble(X))))<=>(?[X]:((tall(X)|~rich(X)))))&
((?[X]:(~wise(X)))=>(?[X]:(~humble(X))))&
(![X]:((~kind(X)|~humble(X))<=>~old(X)))&
((?[X]:((~wise(X)&brave(X))))=>((~brave(lucy)|generous(lucy))))&
(![X]:(~kind(X)<=>~wise(X)))&
(![X]:(humble(X)=>(~old(X)|tall(X))))&
(((brave(john)|~generous(john)))<=>((o... | generous(fred) | [
"p2",
"p4",
"p5",
"p8",
"p11",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2609505143635117507833256
% SZS output start Proof for 2609505143635117507833256
3. ! [X0] : ((~humble(X0) | ~kind(X0)) <=> ~old(X0)) [input p2]
5. ! [X0] : (~kind(X0) <=> ~wise(X0)) [input p4]
6. ! [X0] : (humble(X0) => (tall(X0) | ~old(X0))) [input p5]
9. ! [X0] : ((kind(X0) <~> ~kind(X... | 0 |
Everyone who is not happy is old or patient and vice versa.
Everyone who is old or not quiet is generous and vice versa.
Everyone who is either not strong or creative is not quiet or calm.
If someone is either not strong or not happy then alice is both not tall and strong.
If someone is quiet or not kind then someone i... | Susan is generous. | entailment | (![X]:(~happy(X)<=>(old(X)|patient(X))))&
(![X]:((old(X)|~quiet(X))<=>generous(X)))&
(![X]:((~strong(X)<~>creative(X))=>(~quiet(X)|calm(X))))&
((?[X]:((~strong(X)<~>~happy(X))))=>((~tall(alice)&strong(alice))))&
((?[X]:((quiet(X)|~kind(X))))<=>(?[X]:((~happy(X)<~>rich(X)))))&
(![X]:((~generous(X)|patient(X))=>(kind(X)|... | generous(susan) | [
"p0",
"p1",
"p5",
"p7",
"p9",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7754564221929333977519468
% SZS output start Proof for 7754564221929333977519468
1. ! [X0] : (~happy(X0) <=> (patient(X0) | old(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) | old(X0)) <=> generous(X0)) [input p1]
6. ! [X0] : ((patient(X0) | ~generous(X0)) => (funny(X0) | kind(X0))) [input p5... | 0 |
If someone is quiet or not tall then someone is either tall or brave.
If mary is not tall or humble then alice is not wise or not kind.
If someone is calm then lucy is not kind or not generous and vice versa.
If someone is both not tall and curious then fred is old or humble.
If someone is both tall and not humble then... | Mary is not tall. | neutral | ((?[X]:((quiet(X)|~tall(X))))=>(?[X]:((tall(X)<~>brave(X)))))&
(((~tall(mary)|humble(mary)))=>((~wise(alice)|~kind(alice))))&
((?[X]:(calm(X)))<=>((~kind(lucy)|~generous(lucy))))&
((?[X]:((~tall(X)&curious(X))))=>((old(fred)|humble(fred))))&
((?[X]:((tall(X)&~humble(X))))=>(~generous(fred)))&
(((wise(paul)|generous(pau... | ~tall(mary) | [] | null | 0 |
Everyone who is both strong and patient is creative and vice versa.
If alice is strong or rich then someone is either not kind or not rich.
Everyone who is both funny and not creative is either not creative or happy.
If someone is not creative then someone is either not rich or creative.
Everyone who is both humble and... | John is funny. | contradiction | (![X]:((strong(X)&patient(X))<=>creative(X)))&
(((strong(alice)|rich(alice)))=>(?[X]:((~kind(X)<~>~rich(X)))))&
(![X]:((funny(X)&~creative(X))=>(~creative(X)<~>happy(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~rich(X)<~>creative(X)))))&
(![X]:((humble(X)&~creative(X))<=>(~creative(X)&~generous(X))))&
(((~generous(susan)&~h... | funny(john) | [
"p0",
"p6",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4015878365199441459749522
% SZS output start Proof for 4015878365199441459749522
1. ! [X0] : ((patient(X0) & strong(X0)) <=> creative(X0)) [input p0]
7. ! [X0] : ((~creative(X0) <~> wise(X0)) => (tall(X0) & ~funny(X0))) [input p6]
10. ! [X0] : ((funny(X0) | patient(X0)) => (~generous(X0) ... | 0 |
If someone is not creative or not tall then alice is either not curious or not wise. Everyone who is calm or generous is humble or not old and vice versa. Everyone who is not calm is not humble or strong and vice versa. If someone is humble then someone is either not kind or generous. If someone is either funny or curi... | Fred is not creative. | entailment | ((?[X]:((~creative(X)|~tall(X))))=>((~curious(alice)<~>~wise(alice))))&
(![X]:((calm(X)|generous(X))<=>(humble(X)|~old(X))))&
(![X]:(~calm(X)<=>(~humble(X)|strong(X))))&
((?[X]:(humble(X)))=>(?[X]:((~kind(X)<~>generous(X)))))&
((?[X]:((funny(X)<~>curious(X))))<=>((~brave(john)|~wise(john))))&
((?[X]:((~rich(X)&~kind(X)... | ~creative(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9117525741448562867703571
% SZS output start Proof for 9117525741448562867703571
21. ~creative(fred) & curious(fred) [input p20]
25. creative(fred) [input hypothesis]
137. ~creative(fred) [cnf transformation 21]
143. creative(fred) [cnf transformation 25]
306. $false [subsumption resoluti... | 0 |
Everyone who is either quiet or not wise is both not generous and strong and vice versa.
If someone is both not creative and brave then someone is kind or calm.
If someone is not creative then someone is not happy or not patient and vice versa.
If fred is both kind and not brave then someone is not old.
Everyone who is... | Fred is rich. | neutral | (![X]:((quiet(X)<~>~wise(X))<=>(~generous(X)&strong(X))))&
((?[X]:((~creative(X)&brave(X))))=>(?[X]:((kind(X)|calm(X)))))&
((?[X]:(~creative(X)))<=>(?[X]:((~happy(X)|~patient(X)))))&
(((kind(fred)&~brave(fred)))=>(?[X]:(~old(X))))&
(![X]:((brave(X)|~strong(X))<=>(~strong(X)&~patient(X))))&
((~creative(susan))<=>((kind(... | rich(fred) | [] | null | 0 |
If someone is generous then mary is not tall or not quiet and vice versa.
Everyone who is either curious or not funny is both strong and not patient and vice versa.
If someone is not rich or not quiet then alice is both calm and not old.
If someone is rich or strong then mary is not strong or not tall.
Everyone who is ... | Alice is not quiet. | contradiction | ((?[X]:(generous(X)))<=>((~tall(mary)|~quiet(mary))))&
(![X]:((curious(X)<~>~funny(X))<=>(strong(X)&~patient(X))))&
((?[X]:((~rich(X)|~quiet(X))))=>((calm(alice)&~old(alice))))&
((?[X]:((rich(X)|strong(X))))=>((~strong(mary)|~tall(mary))))&
(![X]:((~funny(X)<~>humble(X))=>(~old(X)&curious(X))))&
(![X]:((funny(X)|kind(X... | ~quiet(alice) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p8",
"p11",
"p12",
"p14",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3412224653587095512226359
% SZS output start Proof for 3412224653587095512226359
1. ? [X0] : generous(X0) <=> (~quiet(mary) | ~tall(mary)) [input p0]
2. ! [X0] : ((curious(X0) <~> ~funny(X0)) <=> (~patient(X0) & strong(X0))) [input p1]
3. ? [X0] : (~quiet(X0) | ~rich(X0)) => (~old(alice) ... | 0 |
Everyone who is either old or funny is either strong or rich.
Everyone who is quiet is curious or kind.
Everyone who is both not kind and brave is not quiet or patient and vice versa.
Everyone who is not old is not wise and vice versa.
If fred is both not patient and wise then lucy is not happy or generous.
If someone ... | Lucy is not quiet. | contradiction | (![X]:((old(X)<~>funny(X))=>(strong(X)<~>rich(X))))&
(![X]:(quiet(X)=>(curious(X)|kind(X))))&
(![X]:((~kind(X)&brave(X))<=>(~quiet(X)|patient(X))))&
(![X]:(~old(X)<=>~wise(X)))&
(((~patient(fred)&wise(fred)))=>((~happy(lucy)|generous(lucy))))&
((?[X]:((creative(X)<~>~calm(X))))<=>((rich(john)|calm(john))))&
(![X]:(gene... | ~quiet(lucy) | [
"p2",
"p12",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 710019899353675931787852
% SZS output start Proof for 710019899353675931787852
3. ! [X0] : ((brave(X0) & ~kind(X0)) <=> (patient(X0) | ~quiet(X0))) [input p2]
13. ! [X0] : (~quiet(X0) => ~tall(X0)) [input p12]
14. ! [X0] : (quiet(X0) => (~quiet(X0) | brave(X0))) [input p13]
15. tall(lucy)... | 0 |
Everyone who is not kind is creative or old.
Everyone who is both not wise and not calm is both tall and patient and vice versa.
Everyone who is not generous or not quiet is both calm and not curious and vice versa.
Everyone who is humble or not generous is not humble or not curious and vice versa.
If someone is curiou... | Fred is not creative. | contradiction | (![X]:(~kind(X)=>(creative(X)|old(X))))&
(![X]:((~wise(X)&~calm(X))<=>(tall(X)&patient(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(calm(X)&~curious(X))))&
(![X]:((humble(X)|~generous(X))<=>(~humble(X)|~curious(X))))&
((?[X]:(curious(X)))<=>((~creative(fred)|calm(fred))))&
((curious(fred))<=>((~funny(fred)|~wise(fred))))&... | ~creative(fred) | [
"p2",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5398361229733936604336097
% SZS output start Proof for 5398361229733936604336097
3. ! [X0] : ((~quiet(X0) | ~generous(X0)) <=> (~curious(X0) & calm(X0))) [input p2]
4. ! [X0] : ((~generous(X0) | humble(X0)) <=> (~curious(X0) | ~humble(X0))) [input p3]
5. ? [X0] : curious(X0) <=> (calm(fre... | 0 |
If someone is curious then someone is humble or not strong.
If someone is both patient and not creative then someone is not old and vice versa.
Everyone who is both not humble and not quiet is not funny or not brave and vice versa.
Everyone who is both not wise and not humble is wise.
Everyone who is happy or not old i... | John is rich. | neutral | ((?[X]:(curious(X)))=>(?[X]:((humble(X)|~strong(X)))))&
((?[X]:((patient(X)&~creative(X))))<=>(?[X]:(~old(X))))&
(![X]:((~humble(X)&~quiet(X))<=>(~funny(X)|~brave(X))))&
(![X]:((~wise(X)&~humble(X))=>wise(X)))&
(![X]:((happy(X)|~old(X))<=>(~happy(X)&~funny(X))))&
((?[X]:((rich(X)&~patient(X))))<=>(~tall(paul)))&
(![X]:... | rich(john) | [] | null | 0 |
Everyone who is not calm or not brave is both not strong and strong and vice versa. Everyone who is creative is not strong and vice versa. If someone is either humble or not calm then lucy is both not creative and not rich. If someone is not old or not happy then susan is not calm or happy. Everyone who is brave is not... | Lucy is not tall. | contradiction | (![X]:((~calm(X)|~brave(X))<=>(~strong(X)&strong(X))))&
(![X]:(creative(X)<=>~strong(X)))&
((?[X]:((humble(X)<~>~calm(X))))=>((~creative(lucy)&~rich(lucy))))&
((?[X]:((~old(X)|~happy(X))))=>((~calm(susan)|happy(susan))))&
(![X]:(brave(X)=>~creative(X)))&
(![X]:((~brave(X)<~>~tall(X))=>humble(X)))&
(![X]:(quiet(X)<=>(~h... | ~tall(lucy) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7405808642022735605195849
% SZS output start Proof for 7405808642022735605195849
1. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (strong(X0) & ~strong(X0))) [input p0]
2. ! [X0] : (creative(X0) <=> ~strong(X0)) [input p1]
3. ? [X0] : (humble(X0) <~> ~calm(X0)) => (~rich(lucy) & ~creative(lucy))... | 0 |
Everyone who is either quiet or not generous is both not humble and not creative. If someone is both wise and creative then someone is happy or not generous and vice versa. Everyone who is rich or wise is not creative or happy and vice versa. Everyone who is either not patient or not brave is creative or not tall. Ever... | Susan is curious. | neutral | (![X]:((quiet(X)<~>~generous(X))=>(~humble(X)&~creative(X))))&
((?[X]:((wise(X)&creative(X))))<=>(?[X]:((happy(X)|~generous(X)))))&
(![X]:((rich(X)|wise(X))<=>(~creative(X)|happy(X))))&
(![X]:((~patient(X)<~>~brave(X))=>(creative(X)|~tall(X))))&
(![X]:(funny(X)<=>(~quiet(X)|rich(X))))&
((wise(lucy))=>(?[X]:((wise(X)&~p... | curious(susan) | [] | null | 0 |
Everyone who is either creative or brave is not curious and vice versa. If mary is both not creative and not curious then lucy is either old or not generous. Everyone who is not kind or not patient is not humble or wise. If lucy is either not calm or not kind then fred is either kind or curious and vice versa. Everyone... | Fred is kind. | entailment | (![X]:((creative(X)<~>brave(X))<=>~curious(X)))&
(((~creative(mary)&~curious(mary)))=>((old(lucy)<~>~generous(lucy))))&
(![X]:((~kind(X)|~patient(X))=>(~humble(X)|wise(X))))&
(((~calm(lucy)<~>~kind(lucy)))<=>((kind(fred)<~>curious(fred))))&
(![X]:((~patient(X)|brave(X))<=>(calm(X)<~>~happy(X))))&
((?[X]:((tall(X)<~>hap... | kind(fred) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7236384203824749513683357
% SZS output start Proof for 7236384203824749513683357
20. kind(fred) [input p19]
24. ~kind(fred) [input hypothesis]
138. kind(fred) [cnf transformation 20]
142. ~kind(fred) [cnf transformation 24]
169. 6 <=> kind(fred) [avatar definition]
294. 6 [avatar split cl... | 0 |
Everyone who is rich is both not creative and happy.
Everyone who is not humble or rich is brave or not calm and vice versa.
If someone is both brave and not creative then someone is not patient.
Everyone who is both not kind and humble is generous or not strong and vice versa.
If susan is both not kind and calm then s... | Susan is happy. | entailment | (![X]:(rich(X)=>(~creative(X)&happy(X))))&
(![X]:((~humble(X)|rich(X))<=>(brave(X)|~calm(X))))&
((?[X]:((brave(X)&~creative(X))))=>(?[X]:(~patient(X))))&
(![X]:((~kind(X)&humble(X))<=>(generous(X)|~strong(X))))&
(((~kind(susan)&calm(susan)))<=>(?[X]:((wise(X)<~>~happy(X)))))&
((?[X]:((~generous(X)|~rich(X))))<=>(~funny... | happy(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7825563659859307538376760
% SZS output start Proof for 7825563659859307538376760
14. ! [X0] : ((generous(X0) | ~happy(X0)) <=> happy(X0)) [input p13]
21. ~happy(susan) [input hypothesis]
61. ! [X0] : (((generous(X0) | ~happy(X0)) | ~happy(X0)) & (happy(X0) | (~generous(X0) & happy(X0)))) ... | 0 |
Everyone who is either not quiet or calm is both patient and kind.
Everyone who is not wise or not kind is either not brave or old.
If someone is brave then someone is not rich or not kind and vice versa.
Everyone who is both not patient and not quiet is not humble.
If someone is both brave and calm then someone is not... | Susan is creative. | entailment | (![X]:((~quiet(X)<~>calm(X))=>(patient(X)&kind(X))))&
(![X]:((~wise(X)|~kind(X))=>(~brave(X)<~>old(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~rich(X)|~kind(X)))))&
(![X]:((~patient(X)&~quiet(X))=>~humble(X)))&
((?[X]:((brave(X)&calm(X))))=>(?[X]:((~quiet(X)|old(X)))))&
(((~generous(paul)&funny(paul)))=>((~calm(mary)<~>curiou... | creative(susan) | [
"p1",
"p6",
"p8",
"p9",
"p13",
"p20",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7750307858978747683189025
% SZS output start Proof for 7750307858978747683189025
2. ! [X0] : ((~kind(X0) | ~wise(X0)) => (~brave(X0) <~> old(X0))) [input p1]
7. ! [X0] : ((~wise(X0) | kind(X0)) => (rich(X0) & strong(X0))) [input p6]
9. ! [X0] : ((~creative(X0) | strong(X0)) => ~brave(X0))... | 0 |
If lucy is not tall or curious then fred is both wise and patient and vice versa.
If alice is not funny then someone is both not happy and funny.
Everyone who is not funny is not tall.
If susan is not funny or tall then paul is not humble or strong and vice versa.
Everyone who is either not humble or not funny is not t... | Lucy is not strong. | contradiction | (((~tall(lucy)|curious(lucy)))<=>((wise(fred)&patient(fred))))&
((~funny(alice))=>(?[X]:((~happy(X)&funny(X)))))&
(![X]:(~funny(X)=>~tall(X)))&
(((~funny(susan)|tall(susan)))<=>((~humble(paul)|strong(paul))))&
(![X]:((~humble(X)<~>~funny(X))<=>~tall(X)))&
(![X]:(~kind(X)=>(~strong(X)<~>wise(X))))&
((?[X]:((wise(X)|funn... | ~strong(lucy) | [
"p2",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8312331820010104709490474
% SZS output start Proof for 8312331820010104709490474
3. ! [X0] : (~funny(X0) => ~tall(X0)) [input p2]
5. ! [X0] : ((~humble(X0) <~> ~funny(X0)) <=> ~tall(X0)) [input p4]
13. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => (tall(X0) & ~calm(X0))) [input p12]
14. calm(ma... | 0 |
Everyone who is kind is either not generous or not wise.
Everyone who is both curious and not creative is both not rich and old and vice versa.
Everyone who is either rich or not kind is old or not wise and vice versa.
Everyone who is both not patient and not wise is funny and vice versa.
Everyone who is not curious or... | John is patient. | entailment | (![X]:(kind(X)=>(~generous(X)<~>~wise(X))))&
(![X]:((curious(X)&~creative(X))<=>(~rich(X)&old(X))))&
(![X]:((rich(X)<~>~kind(X))<=>(old(X)|~wise(X))))&
(![X]:((~patient(X)&~wise(X))<=>funny(X)))&
(![X]:((~curious(X)|funny(X))=>(~calm(X)&wise(X))))&
(![X]:((old(X)|~strong(X))=>tall(X)))&
(![X]:((~old(X)<~>~quiet(X))=>~c... | patient(john) | [
"p3",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2557399408771670913847234
% SZS output start Proof for 2557399408771670913847234
4. ! [X0] : ((~wise(X0) & ~patient(X0)) <=> funny(X0)) [input p3]
5. ! [X0] : ((funny(X0) | ~curious(X0)) => (wise(X0) & ~calm(X0))) [input p4]
14. ! [X0] : (~funny(X0) <=> (patient(X0) | funny(X0))) [input p... | 0 |
If someone is either not wise or not rich then alice is either not rich or brave and vice versa.
If john is either strong or not curious then someone is tall.
Everyone who is both not kind and not creative is wise or kind and vice versa.
Everyone who is either not wise or not quiet is not curious.
If someone is not str... | Mary is not old. | contradiction | ((?[X]:((~wise(X)<~>~rich(X))))<=>((~rich(alice)<~>brave(alice))))&
(((strong(john)<~>~curious(john)))=>(?[X]:(tall(X))))&
(![X]:((~kind(X)&~creative(X))<=>(wise(X)|kind(X))))&
(![X]:((~wise(X)<~>~quiet(X))=>~curious(X)))&
((?[X]:(~strong(X)))<=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:((~quiet(X)&funny(X))<=>(strong(X)&... | ~old(mary) | [
"p8",
"p13",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 363324029773646151512527
% SZS output start Proof for 363324029773646151512527
9. ! [X0] : ((creative(X0) | rich(X0)) => strong(X0)) [input p8]
14. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> (~old(X0) <~> ~creative(X0))) [input p13]
20. creative(mary) | ~generous(mary) [input p19]
24. gener... | 0 |
If someone is either not creative or not brave then lucy is both not calm and not happy and vice versa. Everyone who is either not curious or not old is not creative or not curious and vice versa. Everyone who is both not old and not humble is both creative and patient. If john is not wise then mary is either not quiet... | Mary is funny. | neutral | ((?[X]:((~creative(X)<~>~brave(X))))<=>((~calm(lucy)&~happy(lucy))))&
(![X]:((~curious(X)<~>~old(X))<=>(~creative(X)|~curious(X))))&
(![X]:((~old(X)&~humble(X))=>(creative(X)&patient(X))))&
((~wise(john))=>((~quiet(mary)<~>calm(mary))))&
(![X]:(~wise(X)<=>~rich(X)))&
(![X]:(~creative(X)<=>(kind(X)|quiet(X))))&
(![X]:((... | funny(mary) | [] | null | 0 |
If someone is patient or old then john is not funny or happy and vice versa.
Everyone who is both old and not kind is either rich or curious.
Everyone who is tall is not patient or not rich.
If someone is generous then someone is patient.
If someone is tall or not patient then lucy is tall or old.
Everyone who is eithe... | Paul is not humble. | entailment | ((?[X]:((patient(X)|old(X))))<=>((~funny(john)|happy(john))))&
(![X]:((old(X)&~kind(X))=>(rich(X)<~>curious(X))))&
(![X]:(tall(X)=>(~patient(X)|~rich(X))))&
((?[X]:(generous(X)))=>(?[X]:(patient(X))))&
((?[X]:((tall(X)|~patient(X))))=>((tall(lucy)|old(lucy))))&
(![X]:((kind(X)<~>wise(X))<=>(~strong(X)|tall(X))))&
(![X]... | ~humble(paul) | [
"p3",
"p5",
"p7",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7174256869705566356440760
% SZS output start Proof for 7174256869705566356440760
4. ? [X0] : generous(X0) => ? [X0] : patient(X0) [input p3]
6. ! [X0] : ((kind(X0) <~> wise(X0)) <=> (tall(X0) | ~strong(X0))) [input p5]
8. ? [X0] : (~tall(X0) <~> ~wise(X0)) => ? [X0] : (~wise(X0) & generou... | 0 |
Everyone who is creative is not strong.
If lucy is strong then fred is both not strong and patient and vice versa.
If someone is both not brave and rich then alice is both not kind and wise and vice versa.
If mary is both brave and strong then susan is humble and vice versa.
Everyone who is both funny and curious is bo... | Fred is brave. | neutral | (![X]:(creative(X)=>~strong(X)))&
((strong(lucy))<=>((~strong(fred)&patient(fred))))&
((?[X]:((~brave(X)&rich(X))))<=>((~kind(alice)&wise(alice))))&
(((brave(mary)&strong(mary)))<=>(humble(susan)))&
(![X]:((funny(X)&curious(X))=>(~kind(X)&~humble(X))))&
(![X]:(~humble(X)=>(~funny(X)<~>~patient(X))))&
(![X]:(brave(X)<=>... | brave(fred) | [] | null | 0 |
Everyone who is calm or old is both wise and not quiet and vice versa. Everyone who is quiet or not brave is not happy or wise and vice versa. If paul is tall or old then susan is both generous and not old and vice versa. If susan is rich or not funny then alice is happy or not generous and vice versa. Everyone who is ... | Susan is brave. | entailment | (![X]:((calm(X)|old(X))<=>(wise(X)&~quiet(X))))&
(![X]:((quiet(X)|~brave(X))<=>(~happy(X)|wise(X))))&
(((tall(paul)|old(paul)))<=>((generous(susan)&~old(susan))))&
(((rich(susan)|~funny(susan)))<=>((happy(alice)|~generous(alice))))&
(![X]:((~humble(X)|~calm(X))<=>(~wise(X)&brave(X))))&
(![X]:((brave(X)<~>~patient(X))=>... | brave(susan) | [
"p0",
"p1",
"p4",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6165111927084763508188938
% SZS output start Proof for 6165111927084763508188938
1. ! [X0] : ((old(X0) | calm(X0)) <=> (~quiet(X0) & wise(X0))) [input p0]
2. ! [X0] : ((~brave(X0) | quiet(X0)) <=> (wise(X0) | ~happy(X0))) [input p1]
5. ! [X0] : ((~calm(X0) | ~humble(X0)) <=> (brave(X0) & ... | 0 |
If fred is patient or humble then someone is either not brave or not curious.
If someone is both calm and not rich then someone is both generous and not old and vice versa.
Everyone who is both not creative and strong is not curious and vice versa.
If lucy is either not old or calm then someone is both not curious and ... | Paul is not humble. | contradiction | (((patient(fred)|humble(fred)))=>(?[X]:((~brave(X)<~>~curious(X)))))&
((?[X]:((calm(X)&~rich(X))))<=>(?[X]:((generous(X)&~old(X)))))&
(![X]:((~creative(X)&strong(X))<=>~curious(X)))&
(((~old(lucy)<~>calm(lucy)))=>(?[X]:((~curious(X)&creative(X)))))&
((?[X]:((~tall(X)|~calm(X))))<=>(?[X]:(strong(X))))&
(![X]:((~happy(X)... | ~humble(paul) | [
"p6",
"p11",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 9042680741218096391741640
% SZS output start Proof for 9042680741218096391741640
7. ! [X0] : (~humble(X0) <=> ~wise(X0)) [input p6]
12. ! [X0] : (~wise(X0) <=> ~patient(X0)) [input p11]
13. ! [X0] : (~old(X0) => (patient(X0) & ~funny(X0))) [input p12]
24. ~old(paul) [input p23]
25. ~humbl... | 0 |
If someone is quiet then paul is generous and vice versa.
If lucy is both not brave and not quiet then someone is rich and vice versa.
Everyone who is both not patient and wise is wise or not old and vice versa.
Everyone who is both not brave and funny is either not happy or kind.
Everyone who is either not quiet or no... | Lucy is curious. | entailment | ((?[X]:(quiet(X)))<=>(generous(paul)))&
(((~brave(lucy)&~quiet(lucy)))<=>(?[X]:(rich(X))))&
(![X]:((~patient(X)&wise(X))<=>(wise(X)|~old(X))))&
(![X]:((~brave(X)&funny(X))=>(~happy(X)<~>kind(X))))&
(![X]:((~quiet(X)<~>~curious(X))<=>(~creative(X)|wise(X))))&
(![X]:((~tall(X)<~>funny(X))<=>(strong(X)|humble(X))))&
(![X]... | curious(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6557621086273808452660214
% SZS output start Proof for 6557621086273808452660214
13. ! [X0] : ((funny(X0) <~> curious(X0)) <=> ~funny(X0)) [input p12]
24. ~curious(lucy) [input hypothesis]
59. ! [X0] : ((((~curious(X0) | ~funny(X0)) & (curious(X0) | funny(X0))) | funny(X0)) & (~funny(X0) ... | 0 |
If someone is both not happy and not old then lucy is either not old or not kind and vice versa.
If someone is not calm or not funny then mary is old or not humble and vice versa.
Everyone who is either patient or not happy is both not calm and not patient and vice versa.
Everyone who is both humble and not creative is... | Alice is brave. | neutral | ((?[X]:((~happy(X)&~old(X))))<=>((~old(lucy)<~>~kind(lucy))))&
((?[X]:((~calm(X)|~funny(X))))<=>((old(mary)|~humble(mary))))&
(![X]:((patient(X)<~>~happy(X))<=>(~calm(X)&~patient(X))))&
(![X]:((humble(X)&~creative(X))<=>strong(X)))&
(((~kind(susan)|~brave(susan)))=>(?[X]:((tall(X)&~brave(X)))))&
(![X]:((patient(X)<~>~t... | brave(alice) | [] | null | 0 |
Everyone who is both not curious and not old is not old or not creative and vice versa.
If someone is both not curious and not humble then paul is both not happy and calm.
Everyone who is wise or not creative is generous or not tall.
Everyone who is either quiet or not creative is either happy or tall and vice versa.
I... | Susan is old. | contradiction | (![X]:((~curious(X)&~old(X))<=>(~old(X)|~creative(X))))&
((?[X]:((~curious(X)&~humble(X))))=>((~happy(paul)&calm(paul))))&
(![X]:((wise(X)|~creative(X))=>(generous(X)|~tall(X))))&
(![X]:((quiet(X)<~>~creative(X))<=>(happy(X)<~>tall(X))))&
((?[X]:((funny(X)&~humble(X))))=>(?[X]:((funny(X)&curious(X)))))&
(![X]:(~wise(X)... | old(susan) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3248303695559188254164325
% SZS output start Proof for 3248303695559188254164325
22. ~old(susan) & ~calm(susan) [input p21]
25. old(susan) [input hypothesis]
134. ~old(susan) [cnf transformation 22]
138. old(susan) [cnf transformation 25]
264. 29 <=> old(susan) [avatar definition]
310. ~2... | 0 |
If someone is either rich or not patient then lucy is not generous or not creative and vice versa.
Everyone who is either not curious or creative is both not old and curious.
Everyone who is curious or not kind is wise and vice versa.
Everyone who is calm is kind or not calm and vice versa.
If mary is curious then alic... | Lucy is strong. | neutral | ((?[X]:((rich(X)<~>~patient(X))))<=>((~generous(lucy)|~creative(lucy))))&
(![X]:((~curious(X)<~>creative(X))=>(~old(X)&curious(X))))&
(![X]:((curious(X)|~kind(X))<=>wise(X)))&
(![X]:(calm(X)<=>(kind(X)|~calm(X))))&
((curious(mary))=>((funny(alice)|~curious(alice))))&
(![X]:(~patient(X)<=>(~tall(X)|patient(X))))&
(![X]:... | strong(lucy) | [] | null | 0 |
Everyone who is either not tall or not funny is both not brave and not kind.
Everyone who is not humble is happy or not calm and vice versa.
If someone is not brave or rich then susan is not kind.
If mary is either not generous or not happy then someone is kind or not strong and vice versa.
Everyone who is not creative... | John is not humble. | entailment | (![X]:((~tall(X)<~>~funny(X))=>(~brave(X)&~kind(X))))&
(![X]:(~humble(X)<=>(happy(X)|~calm(X))))&
((?[X]:((~brave(X)|rich(X))))=>(~kind(susan)))&
(((~generous(mary)<~>~happy(mary)))<=>(?[X]:((kind(X)|~strong(X)))))&
(![X]:((~creative(X)|~happy(X))<=>(~quiet(X)|~wise(X))))&
(![X]:(~happy(X)=>~generous(X)))&
((?[X]:((qui... | ~humble(john) | [
"p1",
"p2",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1000337361964693303133475
% SZS output start Proof for 1000337361964693303133475
2. ! [X0] : (~humble(X0) <=> (~calm(X0) | happy(X0))) [input p1]
3. ? [X0] : (rich(X0) | ~brave(X0)) => ~kind(susan) [input p2]
10. ? [X0] : (calm(X0) | kind(X0)) <=> humble(susan) [input p9]
11. ! [X0] : (~k... | 0 |
If mary is either not curious or not patient then john is both not happy and not calm.
If someone is both creative and quiet then someone is not generous and vice versa.
Everyone who is both not creative and not curious is not wise or kind and vice versa.
If mary is either not funny or not curious then someone is eithe... | Mary is generous. | contradiction | (((~curious(mary)<~>~patient(mary)))=>((~happy(john)&~calm(john))))&
((?[X]:((creative(X)&quiet(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~creative(X)&~curious(X))<=>(~wise(X)|kind(X))))&
(((~funny(mary)<~>~curious(mary)))=>(?[X]:((~strong(X)<~>~humble(X)))))&
((?[X]:((~humble(X)|~funny(X))))<=>(?[X]:((~happy(X)&~rich(X)... | generous(mary) | [
"p1",
"p2",
"p8",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3869508061253905979398132
% SZS output start Proof for 3869508061253905979398132
2. ? [X0] : (quiet(X0) & creative(X0)) <=> ? [X0] : ~generous(X0) [input p1]
3. ! [X0] : ((~curious(X0) & ~creative(X0)) <=> (kind(X0) | ~wise(X0))) [input p2]
9. ? [X0] : creative(X0) <=> (kind(mary) & ~calm... | 0 |
If someone is either funny or not humble then alice is not calm. Everyone who is both not quiet and not tall is either not calm or not kind and vice versa. Everyone who is both tall and not brave is either not happy or kind and vice versa. Everyone who is both not brave and happy is not tall or patient and vice versa. ... | Alice is not happy. | contradiction | ((?[X]:((funny(X)<~>~humble(X))))=>(~calm(alice)))&
(![X]:((~quiet(X)&~tall(X))<=>(~calm(X)<~>~kind(X))))&
(![X]:((tall(X)&~brave(X))<=>(~happy(X)<~>kind(X))))&
(![X]:((~brave(X)&happy(X))<=>(~tall(X)|patient(X))))&
((?[X]:((kind(X)|~wise(X))))=>(~humble(paul)))&
(((humble(susan)<~>wise(susan)))=>(brave(susan)))&
(![X]... | ~happy(alice) | [
"p3",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 173699384380999126224338
% SZS output start Proof for 173699384380999126224338
4. ! [X0] : ((happy(X0) & ~brave(X0)) <=> (patient(X0) | ~tall(X0))) [input p3]
21. patient(alice) <~> ~tall(alice) [input p20]
23. ~happy(alice) [input hypothesis]
40. ! [X0] : (((happy(X0) & ~brave(X0)) | (~p... | 0 |
Everyone who is both not humble and not generous is humble and vice versa.
Everyone who is humble or curious is not generous or not strong and vice versa.
Everyone who is either wise or not curious is not calm or strong.
Everyone who is either not curious or tall is both not humble and humble and vice versa.
Everyone w... | Fred is calm. | neutral | (![X]:((~humble(X)&~generous(X))<=>humble(X)))&
(![X]:((humble(X)|curious(X))<=>(~generous(X)|~strong(X))))&
(![X]:((wise(X)<~>~curious(X))=>(~calm(X)|strong(X))))&
(![X]:((~curious(X)<~>tall(X))<=>(~humble(X)&humble(X))))&
(![X]:(funny(X)<=>(old(X)<~>~funny(X))))&
((?[X]:((tall(X)|patient(X))))=>((rich(fred)<~>funny(f... | calm(fred) | [] | null | 0 |
If paul is either rich or tall then mary is both curious and kind and vice versa.
If someone is not curious then lucy is creative.
Everyone who is both funny and rich is both strong and generous and vice versa.
Everyone who is both tall and not wise is calm or wise and vice versa.
If fred is either not old or not rich ... | Susan is not strong. | contradiction | (((rich(paul)<~>tall(paul)))<=>((curious(mary)&kind(mary))))&
((?[X]:(~curious(X)))=>(creative(lucy)))&
(![X]:((funny(X)&rich(X))<=>(strong(X)&generous(X))))&
(![X]:((tall(X)&~wise(X))<=>(calm(X)|wise(X))))&
(((~old(fred)<~>~rich(fred)))=>((wise(lucy)&brave(lucy))))&
(![X]:((~kind(X)&wise(X))=>(humble(X)<~>~strong(X)))... | ~strong(susan) | [
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1278121186494287106495268
% SZS output start Proof for 1278121186494287106495268
7. ! [X0] : (~creative(X0) <=> (~creative(X0) <~> curious(X0))) [input p6]
12. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> (patient(X0) | ~patient(X0))) [input p11]
13. ! [X0] : ((kind(X0) & ~humble(X0)) <=> (~curi... | 0 |
Everyone who is patient is both not old and kind and vice versa.
Everyone who is not wise or wise is both patient and not happy.
If someone is either quiet or happy then alice is either not curious or rich and vice versa.
If someone is either not wise or curious then someone is curious or not creative.
If someone is bo... | Alice is not generous. | contradiction | (![X]:(patient(X)<=>(~old(X)&kind(X))))&
(![X]:((~wise(X)|wise(X))=>(patient(X)&~happy(X))))&
((?[X]:((quiet(X)<~>happy(X))))<=>((~curious(alice)<~>rich(alice))))&
((?[X]:((~wise(X)<~>curious(X))))=>(?[X]:((curious(X)|~creative(X)))))&
((?[X]:((~quiet(X)&~calm(X))))<=>(?[X]:((~humble(X)&calm(X)))))&
(![X]:((~generous(X... | ~generous(alice) | [
"p0",
"p1",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6207522409565280398739973
% SZS output start Proof for 6207522409565280398739973
1. ! [X0] : (patient(X0) <=> (kind(X0) & ~old(X0))) [input p0]
2. ! [X0] : ((wise(X0) | ~wise(X0)) => (~happy(X0) & patient(X0))) [input p1]
9. ! [X0] : ((kind(X0) | curious(X0)) <=> (patient(X0) & strong(X0)... | 0 |
If john is both not brave and rich then someone is patient or not strong and vice versa. If alice is either not quiet or generous then alice is either not old or calm and vice versa. Everyone who is not generous is either kind or rich and vice versa. If susan is not brave then alice is wise or rich. Everyone who is bot... | Fred is strong. | entailment | (((~brave(john)&rich(john)))<=>(?[X]:((patient(X)|~strong(X)))))&
(((~quiet(alice)<~>generous(alice)))<=>((~old(alice)<~>calm(alice))))&
(![X]:(~generous(X)<=>(kind(X)<~>rich(X))))&
((~brave(susan))=>((wise(alice)|rich(alice))))&
(![X]:((tall(X)&~brave(X))=>(~happy(X)&~humble(X))))&
(![X]:(~tall(X)<=>(~brave(X)|old(X))... | strong(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2445523650684969879895955
% SZS output start Proof for 2445523650684969879895955
22. happy(fred) & strong(fred) [input p21]
24. ~strong(fred) [input hypothesis]
138. strong(fred) [cnf transformation 22]
141. ~strong(fred) [cnf transformation 24]
319. $false [subsumption resolution 141,138... | 0 |
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