premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is not wise then susan is not kind and vice versa.
Everyone who is not humble is either generous or not calm.
If someone is either creative or not funny then someone is either not calm or old.
Everyone who is not rich is either curious or wise and vice versa.
If john is either creative or not tall then paul ... | Lucy is not rich. | contradiction | ((?[X]:(~wise(X)))<=>(~kind(susan)))&
(![X]:(~humble(X)=>(generous(X)<~>~calm(X))))&
((?[X]:((creative(X)<~>~funny(X))))=>(?[X]:((~calm(X)<~>old(X)))))&
(![X]:(~rich(X)<=>(curious(X)<~>wise(X))))&
(((creative(john)<~>~tall(john)))=>(kind(paul)))&
(((~tall(paul)|wise(paul)))<=>(~tall(susan)))&
(![X]:(~tall(X)=>(~patient... | ~rich(lucy) | [
"p0",
"p6",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7252662431838376754609632
% SZS output start Proof for 7252662431838376754609632
1. ? [X0] : ~wise(X0) <=> ~kind(susan) [input p0]
7. ! [X0] : (~tall(X0) => (~patient(X0) <~> kind(X0))) [input p6]
12. ! [X0] : ((kind(X0) & ~wise(X0)) <=> tall(X0)) [input p11]
16. ! [X0] : (~patient(X0) =>... | 0 |
If susan is either happy or not happy then fred is strong.
Everyone who is not creative or not strong is both curious and not patient.
If lucy is strong or not funny then susan is curious or wise and vice versa.
Everyone who is either curious or kind is both strong and funny and vice versa.
Everyone who is curious is b... | Susan is funny. | contradiction | (((happy(susan)<~>~happy(susan)))=>(strong(fred)))&
(![X]:((~creative(X)|~strong(X))=>(curious(X)&~patient(X))))&
(((strong(lucy)|~funny(lucy)))<=>((curious(susan)|wise(susan))))&
(![X]:((curious(X)<~>kind(X))<=>(strong(X)&funny(X))))&
(![X]:(curious(X)=>(rich(X)&funny(X))))&
(![X]:((~humble(X)|~quiet(X))=>~tall(X)))&
... | funny(susan) | [
"p1",
"p6",
"p15",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1049644594838038228774832
% SZS output start Proof for 1049644594838038228774832
2. ! [X0] : ((~strong(X0) | ~creative(X0)) => (~patient(X0) & curious(X0))) [input p1]
7. ! [X0] : ((creative(X0) | ~quiet(X0)) <=> (tall(X0) <~> funny(X0))) [input p6]
16. ? [X0] : (~generous(X0) | ~strong(X... | 0 |
Everyone who is either not tall or tall is both calm and not quiet and vice versa. If someone is either not rich or not funny then someone is not old. If someone is kind then someone is both not rich and kind and vice versa. If someone is both not funny and generous then john is creative or not strong. Everyone who is ... | Alice is not tall. | contradiction | (![X]:((~tall(X)<~>tall(X))<=>(calm(X)&~quiet(X))))&
((?[X]:((~rich(X)<~>~funny(X))))=>(?[X]:(~old(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~rich(X)&kind(X)))))&
((?[X]:((~funny(X)&generous(X))))=>((creative(john)|~strong(john))))&
(![X]:((calm(X)|~patient(X))<=>(tall(X)|strong(X))))&
((?[X]:((strong(X)|curious(X))))=>(?[X]:... | ~tall(alice) | [
"p0",
"p4",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2307817528391751519502375
% SZS output start Proof for 2307817528391751519502375
1. ! [X0] : ((~tall(X0) <~> tall(X0)) <=> (~quiet(X0) & calm(X0))) [input p0]
5. ! [X0] : ((~patient(X0) | calm(X0)) <=> (strong(X0) | tall(X0))) [input p4]
13. ! [X0] : ((curious(X0) <~> humble(X0)) => quiet... | 0 |
Everyone who is both happy and quiet is calm and vice versa.
Everyone who is kind is kind or not creative and vice versa.
Everyone who is both not funny and not tall is humble or not patient.
If lucy is not tall or not patient then someone is not happy or humble.
Everyone who is both not funny and humble is both not ha... | Lucy is not tall. | entailment | (![X]:((happy(X)&quiet(X))<=>calm(X)))&
(![X]:(kind(X)<=>(kind(X)|~creative(X))))&
(![X]:((~funny(X)&~tall(X))=>(humble(X)|~patient(X))))&
(((~tall(lucy)|~patient(lucy)))=>(?[X]:((~happy(X)|humble(X)))))&
(![X]:((~funny(X)&humble(X))=>(~happy(X)&strong(X))))&
(![X]:((~calm(X)|~kind(X))=>(humble(X)|wise(X))))&
(![X]:(ge... | ~tall(lucy) | [
"p1",
"p6",
"p8",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 85459719655171729317206
% SZS output start Proof for 85459719655171729317206
2. ! [X0] : (kind(X0) <=> (~creative(X0) | kind(X0))) [input p1]
7. ! [X0] : (generous(X0) <=> (~strong(X0) | kind(X0))) [input p6]
9. ! [X0] : ((tall(X0) | calm(X0)) => (~generous(X0) <~> ~tall(X0))) [input p8]
... | 0 |
Everyone who is both wise and not generous is both not wise and brave and vice versa.
Everyone who is both tall and quiet is both patient and calm and vice versa.
If lucy is not creative or not old then someone is both curious and not calm and vice versa.
Everyone who is both tall and not patient is tall and vice versa... | Paul is not kind. | neutral | (![X]:((wise(X)&~generous(X))<=>(~wise(X)&brave(X))))&
(![X]:((tall(X)&quiet(X))<=>(patient(X)&calm(X))))&
(((~creative(lucy)|~old(lucy)))<=>(?[X]:((curious(X)&~calm(X)))))&
(![X]:((tall(X)&~patient(X))<=>tall(X)))&
(![X]:((~patient(X)|generous(X))=>(old(X)&~generous(X))))&
((?[X]:((happy(X)&quiet(X))))=>(?[X]:(~calm(X... | ~kind(paul) | [] | null | 0 |
If someone is wise or old then mary is not humble.
If paul is not kind or curious then susan is not rich or not old.
Everyone who is not kind is either not kind or calm.
Everyone who is patient is either not rich or old and vice versa.
If someone is rich then paul is kind and vice versa.
If someone is calm or old then ... | Alice is strong. | neutral | ((?[X]:((wise(X)|old(X))))=>(~humble(mary)))&
(((~kind(paul)|curious(paul)))=>((~rich(susan)|~old(susan))))&
(![X]:(~kind(X)=>(~kind(X)<~>calm(X))))&
(![X]:(patient(X)<=>(~rich(X)<~>old(X))))&
((?[X]:(rich(X)))<=>(kind(paul)))&
((?[X]:((calm(X)|old(X))))<=>((wise(lucy)|quiet(lucy))))&
(![X]:((humble(X)<~>~strong(X))<=>... | strong(alice) | [] | null | 0 |
Everyone who is both tall and generous is creative or quiet and vice versa.
If someone is either not brave or not curious then mary is both not funny and happy and vice versa.
If lucy is either brave or humble then someone is both strong and not curious and vice versa.
If susan is both not tall and not curious then luc... | Alice is happy. | neutral | (![X]:((tall(X)&generous(X))<=>(creative(X)|quiet(X))))&
((?[X]:((~brave(X)<~>~curious(X))))<=>((~funny(mary)&happy(mary))))&
(((brave(lucy)<~>humble(lucy)))<=>(?[X]:((strong(X)&~curious(X)))))&
(((~tall(susan)&~curious(susan)))<=>(kind(lucy)))&
(((calm(lucy)<~>~patient(lucy)))<=>(?[X]:((~generous(X)&wise(X)))))&
(![X]... | happy(alice) | [] | null | 0 |
Everyone who is not generous or not curious is not strong or not kind and vice versa.
Everyone who is not generous is not creative or not rich and vice versa.
If paul is kind then fred is not curious or not humble and vice versa.
If someone is both not calm and not funny then paul is not curious or not funny and vice v... | Lucy is not wise. | contradiction | (![X]:((~generous(X)|~curious(X))<=>(~strong(X)|~kind(X))))&
(![X]:(~generous(X)<=>(~creative(X)|~rich(X))))&
((kind(paul))<=>((~curious(fred)|~humble(fred))))&
((?[X]:((~calm(X)&~funny(X))))<=>((~curious(paul)|~funny(paul))))&
(![X]:((~generous(X)&quiet(X))<=>(~wise(X)|~happy(X))))&
((?[X]:((brave(X)|~kind(X))))<=>(?[... | ~wise(lucy) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 824075999072511323547343
% SZS output start Proof for 824075999072511323547343
5. ! [X0] : ((quiet(X0) & ~generous(X0)) <=> (~happy(X0) | ~wise(X0))) [input p4]
12. ! [X0] : ((~wise(X0) | ~old(X0)) <=> generous(X0)) [input p11]
22. ~wise(lucy) [input hypothesis]
41. ! [X0] : (((quiet(X0) ... | 0 |
If john is both not wise and generous then mary is both rich and curious and vice versa. If susan is kind then alice is both not generous and not tall. If paul is funny or generous then someone is old or not calm. Everyone who is not funny is generous. Everyone who is not creative or not quiet is both humble and not hu... | Susan is not quiet. | contradiction | (((~wise(john)&generous(john)))<=>((rich(mary)&curious(mary))))&
((kind(susan))=>((~generous(alice)&~tall(alice))))&
(((funny(paul)|generous(paul)))=>(?[X]:((old(X)|~calm(X)))))&
(![X]:(~funny(X)=>generous(X)))&
(![X]:((~creative(X)|~quiet(X))<=>(humble(X)&~humble(X))))&
((?[X]:((funny(X)<~>kind(X))))=>(?[X]:((~calm(X)... | ~quiet(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6403128376814057143245454
% SZS output start Proof for 6403128376814057143245454
5. ! [X0] : ((~quiet(X0) | ~creative(X0)) <=> (~humble(X0) & humble(X0))) [input p4]
24. ~quiet(susan) [input hypothesis]
44. ! [X0] : (((~quiet(X0) | ~creative(X0)) | (humble(X0) | ~humble(X0))) & ((~humble(... | 0 |
Everyone who is not old or happy is not generous or old.
Everyone who is either funny or strong is happy.
Everyone who is strong is either quiet or wise.
Everyone who is either not wise or calm is both kind and brave and vice versa.
Everyone who is kind or not creative is both kind and not wise.
Everyone who is creativ... | Mary is not strong. | entailment | (![X]:((~old(X)|happy(X))=>(~generous(X)|old(X))))&
(![X]:((funny(X)<~>strong(X))=>happy(X)))&
(![X]:(strong(X)=>(quiet(X)<~>wise(X))))&
(![X]:((~wise(X)<~>calm(X))<=>(kind(X)&brave(X))))&
(![X]:((kind(X)|~creative(X))=>(kind(X)&~wise(X))))&
(![X]:((creative(X)|~happy(X))<=>(patient(X)&curious(X))))&
(![X]:((~tall(X)<~... | ~strong(mary) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5683621173723932305327160
% SZS output start Proof for 5683621173723932305327160
3. ! [X0] : (strong(X0) => (quiet(X0) <~> wise(X0))) [input p2]
5. ! [X0] : ((~creative(X0) | kind(X0)) => (~wise(X0) & kind(X0))) [input p4]
6. ! [X0] : ((~happy(X0) | creative(X0)) <=> (curious(X0) & patien... | 0 |
Everyone who is not strong or not generous is not quiet or not old.
If mary is either not rich or not calm then someone is strong or not calm and vice versa.
Everyone who is both funny and not brave is funny and vice versa.
If someone is not generous then john is not tall or creative and vice versa.
Everyone who is pat... | John is not creative. | neutral | (![X]:((~strong(X)|~generous(X))=>(~quiet(X)|~old(X))))&
(((~rich(mary)<~>~calm(mary)))<=>(?[X]:((strong(X)|~calm(X)))))&
(![X]:((funny(X)&~brave(X))<=>funny(X)))&
((?[X]:(~generous(X)))<=>((~tall(john)|creative(john))))&
(![X]:(patient(X)<=>~humble(X)))&
(![X]:((rich(X)&quiet(X))=>(creative(X)&calm(X))))&
(![X]:((quie... | ~creative(john) | [] | null | 0 |
Everyone who is both curious and not curious is brave or not strong and vice versa.
If alice is either not humble or brave then someone is either curious or not humble and vice versa.
Everyone who is creative or patient is both not old and not happy.
If someone is kind then john is not tall and vice versa.
If lucy is b... | Susan is brave. | contradiction | (![X]:((curious(X)&~curious(X))<=>(brave(X)|~strong(X))))&
(((~humble(alice)<~>brave(alice)))<=>(?[X]:((curious(X)<~>~humble(X)))))&
(![X]:((creative(X)|patient(X))=>(~old(X)&~happy(X))))&
((?[X]:(kind(X)))<=>(~tall(john)))&
(((kind(lucy)&~kind(lucy)))=>(?[X]:((generous(X)<~>curious(X)))))&
(((~patient(alice)|~brave(al... | brave(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 9102341115806524074612324
% SZS output start Proof for 9102341115806524074612324
1. ! [X0] : ((~curious(X0) & curious(X0)) <=> (~strong(X0) | brave(X0))) [input p0]
25. brave(susan) [input hypothesis]
39. ! [X0] : (((~curious(X0) & curious(X0)) | (strong(X0) & ~brave(X0))) & ((~strong(X0)... | 0 |
If someone is both creative and not rich then someone is rich and vice versa. Everyone who is not happy or happy is not kind and vice versa. Everyone who is both creative and not curious is either kind or humble. Everyone who is strong is both not wise and curious. If john is both wise and generous then someone is happ... | Paul is generous. | entailment | ((?[X]:((creative(X)&~rich(X))))<=>(?[X]:(rich(X))))&
(![X]:((~happy(X)|happy(X))<=>~kind(X)))&
(![X]:((creative(X)&~curious(X))=>(kind(X)<~>humble(X))))&
(![X]:(strong(X)=>(~wise(X)&curious(X))))&
(((wise(john)&generous(john)))=>(?[X]:(happy(X))))&
((?[X]:((quiet(X)&rich(X))))<=>(?[X]:(creative(X))))&
(((humble(fred)<... | generous(paul) | [
"p0",
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 9152547372321525889206061
% SZS output start Proof for 9152547372321525889206061
1. ? [X0] : (~rich(X0) & creative(X0)) <=> ? [X0] : rich(X0) [input p0]
2. ! [X0] : ((happy(X0) | ~happy(X0)) <=> ~kind(X0)) [input p1]
8. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> (generous(X0) & ~creative(X0)))... | 0 |
If someone is generous then someone is both quiet and not tall.
Everyone who is not curious is not kind or creative.
Everyone who is not curious or rich is either not curious or humble.
Everyone who is happy is not happy.
Everyone who is calm or tall is either funny or not humble and vice versa.
If someone is either no... | Paul is funny. | neutral | ((?[X]:(generous(X)))=>(?[X]:((quiet(X)&~tall(X)))))&
(![X]:(~curious(X)=>(~kind(X)|creative(X))))&
(![X]:((~curious(X)|rich(X))=>(~curious(X)<~>humble(X))))&
(![X]:(happy(X)=>~happy(X)))&
(![X]:((calm(X)|tall(X))<=>(funny(X)<~>~humble(X))))&
((?[X]:((~happy(X)<~>~generous(X))))<=>(creative(fred)))&
(![X]:((~humble(X)|... | funny(paul) | [] | null | 0 |
Everyone who is happy or funny is either not calm or rich and vice versa. Everyone who is either not calm or not strong is either not rich or kind and vice versa. Everyone who is either quiet or not humble is either not rich or not patient and vice versa. If someone is either calm or tall then paul is old or not funny ... | Fred is not rich. | contradiction | (![X]:((happy(X)|funny(X))<=>(~calm(X)<~>rich(X))))&
(![X]:((~calm(X)<~>~strong(X))<=>(~rich(X)<~>kind(X))))&
(![X]:((quiet(X)<~>~humble(X))<=>(~rich(X)<~>~patient(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>((old(paul)|~funny(paul))))&
(![X]:(wise(X)=>(generous(X)<~>~quiet(X))))&
((~brave(john))=>((~funny(susan)|tall(susan... | ~rich(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4846505508897814439660569
% SZS output start Proof for 4846505508897814439660569
13. ! [X0] : ((~wise(X0) <~> wise(X0)) <=> (rich(X0) & ~happy(X0))) [input p12]
25. ~rich(fred) [input hypothesis]
58. ! [X0] : ((((~wise(X0) | wise(X0)) & (wise(X0) | ~wise(X0))) | (~rich(X0) | happy(X0))) &... | 0 |
Everyone who is patient or not funny is both generous and not funny and vice versa. Everyone who is either strong or not tall is rich. Everyone who is not creative is not funny or not generous. Everyone who is both not funny and not quiet is not calm and vice versa. If someone is both not wise and rich then someone is ... | Paul is not generous. | contradiction | (![X]:((patient(X)|~funny(X))<=>(generous(X)&~funny(X))))&
(![X]:((strong(X)<~>~tall(X))=>rich(X)))&
(![X]:(~creative(X)=>(~funny(X)|~generous(X))))&
(![X]:((~funny(X)&~quiet(X))<=>~calm(X)))&
((?[X]:((~wise(X)&rich(X))))=>(?[X]:((old(X)<~>~creative(X)))))&
((?[X]:(humble(X)))=>((~kind(paul)|humble(paul))))&
(![X]:((~p... | ~generous(paul) | [
"p0",
"p3",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5657175677227914155688886
% SZS output start Proof for 5657175677227914155688886
1. ! [X0] : ((~funny(X0) | patient(X0)) <=> (~funny(X0) & generous(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) & ~funny(X0)) <=> ~calm(X0)) [input p3]
9. ! [X0] : (~rich(X0) <=> (funny(X0) | calm(X0))) [input p... | 0 |
If someone is either not calm or not tall then someone is either not humble or rich and vice versa.
Everyone who is both kind and not calm is not wise.
Everyone who is either old or not brave is wise or not rich.
Everyone who is both not old and curious is either curious or creative.
Everyone who is not generous is eit... | Mary is humble. | neutral | ((?[X]:((~calm(X)<~>~tall(X))))<=>(?[X]:((~humble(X)<~>rich(X)))))&
(![X]:((kind(X)&~calm(X))=>~wise(X)))&
(![X]:((old(X)<~>~brave(X))=>(wise(X)|~rich(X))))&
(![X]:((~old(X)&curious(X))=>(curious(X)<~>creative(X))))&
(![X]:(~generous(X)<=>(funny(X)<~>~rich(X))))&
((?[X]:((strong(X)|~funny(X))))<=>((funny(alice)<~>~crea... | humble(mary) | [] | null | 0 |
Everyone who is either not rich or quiet is not strong or wise and vice versa. If someone is either not quiet or kind then paul is both not quiet and not kind. Everyone who is not brave or not patient is not patient. Everyone who is not kind is both not patient and quiet and vice versa. If someone is not funny or not t... | Lucy is rich. | entailment | (![X]:((~rich(X)<~>quiet(X))<=>(~strong(X)|wise(X))))&
((?[X]:((~quiet(X)<~>kind(X))))=>((~quiet(paul)&~kind(paul))))&
(![X]:((~brave(X)|~patient(X))=>~patient(X)))&
(![X]:(~kind(X)<=>(~patient(X)&quiet(X))))&
((?[X]:((~funny(X)|~tall(X))))<=>((humble(alice)|creative(alice))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~calm(X)... | rich(lucy) | [
"p1",
"p2",
"p5",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 260209530221421798842438
% SZS output start Proof for 260209530221421798842438
2. ? [X0] : (~quiet(X0) <~> kind(X0)) => (~kind(paul) & ~quiet(paul)) [input p1]
3. ! [X0] : ((~patient(X0) | ~brave(X0)) => ~patient(X0)) [input p2]
6. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~calm(X0) <~> p... | 0 |
If someone is either not creative or not kind then someone is strong or not quiet. Everyone who is either humble or not calm is not curious. Everyone who is both kind and creative is either wise or not kind. Everyone who is either curious or not rich is either not patient or creative. If alice is both creative and calm... | John is not old. | neutral | ((?[X]:((~creative(X)<~>~kind(X))))=>(?[X]:((strong(X)|~quiet(X)))))&
(![X]:((humble(X)<~>~calm(X))=>~curious(X)))&
(![X]:((kind(X)&creative(X))=>(wise(X)<~>~kind(X))))&
(![X]:((curious(X)<~>~rich(X))=>(~patient(X)<~>creative(X))))&
(((creative(alice)&calm(alice)))=>(?[X]:((~calm(X)<~>~happy(X)))))&
(![X]:((generous(X)... | ~old(john) | [] | null | 0 |
Everyone who is generous is either happy or tall. Everyone who is brave or old is either not curious or creative and vice versa. Everyone who is not funny or not wise is both not rich and not wise and vice versa. If someone is either not rich or not old then mary is both funny and not creative and vice versa. If john i... | Mary is not curious. | entailment | (![X]:(generous(X)=>(happy(X)<~>tall(X))))&
(![X]:((brave(X)|old(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((~funny(X)|~wise(X))<=>(~rich(X)&~wise(X))))&
((?[X]:((~rich(X)<~>~old(X))))<=>((funny(mary)&~creative(mary))))&
(((~kind(john)&wise(john)))=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:(~generous(X)<=>(generous(X)... | ~curious(mary) | [
"p2",
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 142498286863787528815807
% SZS output start Proof for 142498286863787528815807
3. ! [X0] : ((~wise(X0) | ~funny(X0)) <=> (~wise(X0) & ~rich(X0))) [input p2]
6. ! [X0] : (~generous(X0) <=> (patient(X0) & generous(X0))) [input p5]
10. ! [X0] : (~curious(X0) <=> funny(X0)) [input p9]
11. ! [... | 0 |
Everyone who is tall or rich is either not patient or not humble and vice versa.
Everyone who is either not patient or strong is happy and vice versa.
Everyone who is both generous and quiet is not brave or not rich.
Everyone who is not kind or old is tall.
If someone is either not quiet or not strong then someone is b... | Susan is not strong. | contradiction | (![X]:((tall(X)|rich(X))<=>(~patient(X)<~>~humble(X))))&
(![X]:((~patient(X)<~>strong(X))<=>happy(X)))&
(![X]:((generous(X)&quiet(X))=>(~brave(X)|~rich(X))))&
(![X]:((~kind(X)|old(X))=>tall(X)))&
((?[X]:((~quiet(X)<~>~strong(X))))<=>(?[X]:((happy(X)&~happy(X)))))&
(((creative(lucy)|curious(lucy)))<=>(?[X]:((~generous(X... | ~strong(susan) | [
"p4",
"p6",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7896365645840674471769115
% SZS output start Proof for 7896365645840674471769115
5. ? [X0] : (~quiet(X0) <~> ~strong(X0)) <=> ? [X0] : (~happy(X0) & happy(X0)) [input p4]
7. ! [X0] : ((rich(X0) & creative(X0)) <=> (creative(X0) | ~rich(X0))) [input p6]
17. funny(susan) | ~rich(susan) [inp... | 0 |
Everyone who is both not creative and humble is tall and vice versa. If someone is both generous and not calm then someone is either wise or not quiet and vice versa. If someone is wise or not happy then john is both humble and not curious and vice versa. Everyone who is either not calm or not strong is either not brav... | John is not generous. | entailment | (![X]:((~creative(X)&humble(X))<=>tall(X)))&
((?[X]:((generous(X)&~calm(X))))<=>(?[X]:((wise(X)<~>~quiet(X)))))&
((?[X]:((wise(X)|~happy(X))))<=>((humble(john)&~curious(john))))&
(![X]:((~calm(X)<~>~strong(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:((curious(X)<~>strong(X))<=>(happy(X)<~>~generous(X))))&
(((~creative(fred)<... | ~generous(john) | [
"p2",
"p4",
"p15",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2765422961574484290656475
% SZS output start Proof for 2765422961574484290656475
3. ? [X0] : (~happy(X0) | wise(X0)) <=> (~curious(john) & humble(john)) [input p2]
5. ! [X0] : ((curious(X0) <~> strong(X0)) <=> (happy(X0) <~> ~generous(X0))) [input p4]
16. tall(john) | strong(john) [input ... | 0 |
Everyone who is both not tall and kind is not quiet or generous and vice versa.
Everyone who is creative or not rich is not calm or tall.
Everyone who is not happy is generous and vice versa.
Everyone who is not patient is both not kind and calm.
If someone is either kind or not quiet then someone is either happy or no... | Mary is funny. | contradiction | (![X]:((~tall(X)&kind(X))<=>(~quiet(X)|generous(X))))&
(![X]:((creative(X)|~rich(X))=>(~calm(X)|tall(X))))&
(![X]:(~happy(X)<=>generous(X)))&
(![X]:(~patient(X)=>(~kind(X)&calm(X))))&
((?[X]:((kind(X)<~>~quiet(X))))<=>(?[X]:((happy(X)<~>~strong(X)))))&
((?[X]:((quiet(X)&~old(X))))=>((tall(alice)|~brave(alice))))&
(![X]... | funny(mary) | [
"p0",
"p2",
"p6",
"p7",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2234818666029124111584945
% SZS output start Proof for 2234818666029124111584945
1. ! [X0] : ((kind(X0) & ~tall(X0)) <=> (generous(X0) | ~quiet(X0))) [input p0]
3. ! [X0] : (~happy(X0) <=> generous(X0)) [input p2]
7. ! [X0] : ((~brave(X0) <~> brave(X0)) => (~wise(X0) & humble(X0))) [input... | 0 |
Everyone who is not calm is both not rich and not humble and vice versa.
If someone is not old then someone is both curious and calm.
If someone is either not generous or not brave then someone is not brave or creative.
If alice is both strong and brave then lucy is either kind or generous.
Everyone who is not strong i... | Mary is not happy. | entailment | (![X]:(~calm(X)<=>(~rich(X)&~humble(X))))&
((?[X]:(~old(X)))=>(?[X]:((curious(X)&calm(X)))))&
((?[X]:((~generous(X)<~>~brave(X))))=>(?[X]:((~brave(X)|creative(X)))))&
(((strong(alice)&brave(alice)))=>((kind(lucy)<~>generous(lucy))))&
(![X]:(~strong(X)=>(~patient(X)<~>~happy(X))))&
((?[X]:((generous(X)<~>creative(X))))=... | ~happy(mary) | [
"p0",
"p4",
"p5",
"p6",
"p12",
"p14",
"p15",
"p16",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2567699856638262585506409
% SZS output start Proof for 2567699856638262585506409
1. ! [X0] : (~calm(X0) <=> (~humble(X0) & ~rich(X0))) [input p0]
5. ! [X0] : (~strong(X0) => (~patient(X0) <~> ~happy(X0))) [input p4]
6. ? [X0] : (generous(X0) <~> creative(X0)) => patient(mary) [input p5]
7... | 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... | Susan is not humble. | entailment | ((?[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)... | ~humble(susan) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8947278053357822341738207
% SZS output start Proof for 8947278053357822341738207
5. ! [X0] : ((humble(X0) & tall(X0)) <=> (calm(X0) <~> ~tall(X0))) [input p4]
17. ~rich(susan) & ~calm(susan) [input p16]
25. humble(susan) [input hypothesis]
45. ! [X0] : (((humble(X0) & tall(X0)) | ((calm(X... | 0 |
Everyone who is both strong and rich is not old. If lucy is either not strong or brave then fred is both not happy and rich and vice versa. If lucy is either tall or old then someone is not brave and vice versa. If fred is either not calm or not wise then lucy is both not curious and not strong. Everyone who is either ... | Mary is not creative. | contradiction | (![X]:((strong(X)&rich(X))=>~old(X)))&
(((~strong(lucy)<~>brave(lucy)))<=>((~happy(fred)&rich(fred))))&
(((tall(lucy)<~>old(lucy)))<=>(?[X]:(~brave(X))))&
(((~calm(fred)<~>~wise(fred)))=>((~curious(lucy)&~strong(lucy))))&
(![X]:((creative(X)<~>~brave(X))<=>funny(X)))&
((?[X]:((~curious(X)<~>patient(X))))=>(?[X]:(~quiet... | ~creative(mary) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 303571072886437240208889
% SZS output start Proof for 303571072886437240208889
5. ! [X0] : ((creative(X0) <~> ~brave(X0)) <=> funny(X0)) [input p4]
17. ~brave(mary) <~> funny(mary) [input p16]
25. ~creative(mary) [input hypothesis]
44. ! [X0] : ((((brave(X0) | ~creative(X0)) & (~brave(X0)... | 0 |
Everyone who is both old and wise is both patient and kind. Everyone who is both not wise and not happy is wise and vice versa. Everyone who is old or not tall is either quiet or patient. Everyone who is not rich or not happy is curious and vice versa. Everyone who is not strong is not tall or strong. Everyone who is n... | Paul is not kind. | entailment | (![X]:((old(X)&wise(X))=>(patient(X)&kind(X))))&
(![X]:((~wise(X)&~happy(X))<=>wise(X)))&
(![X]:((old(X)|~tall(X))=>(quiet(X)<~>patient(X))))&
(![X]:((~rich(X)|~happy(X))<=>curious(X)))&
(![X]:(~strong(X)=>(~tall(X)|strong(X))))&
(![X]:((~curious(X)|happy(X))=>(~humble(X)|old(X))))&
(![X]:(~tall(X)<=>(~rich(X)&kind(X))... | ~kind(paul) | [
"p1",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 677584239626814660549625
% SZS output start Proof for 677584239626814660549625
2. ! [X0] : ((~happy(X0) & ~wise(X0)) <=> wise(X0)) [input p1]
7. ! [X0] : (~tall(X0) <=> (kind(X0) & ~rich(X0))) [input p6]
8. ! [X0] : (~strong(X0) => (wise(X0) <~> strong(X0))) [input p7]
12. ! [X0] : ((~tal... | 0 |
Everyone who is either not creative or funny is generous and vice versa.
Everyone who is both creative and kind is not creative or not happy and vice versa.
If susan is not humble or not generous then someone is both funny and not patient.
Everyone who is either strong or brave is funny and vice versa.
If fred is kind ... | Fred is calm. | neutral | (![X]:((~creative(X)<~>funny(X))<=>generous(X)))&
(![X]:((creative(X)&kind(X))<=>(~creative(X)|~happy(X))))&
(((~humble(susan)|~generous(susan)))=>(?[X]:((funny(X)&~patient(X)))))&
(![X]:((strong(X)<~>brave(X))<=>funny(X)))&
((kind(fred))=>((funny(john)<~>calm(john))))&
((?[X]:((funny(X)&~rich(X))))<=>(?[X]:((old(X)<~>... | calm(fred) | [] | null | 0 |
If someone is both not tall and kind then lucy is old and vice versa. If mary is curious then fred is either patient or humble. Everyone who is happy is either not curious or quiet and vice versa. Everyone who is both creative and not wise is both calm and not brave and vice versa. Everyone who is either not patient or... | Lucy is not rich. | contradiction | ((?[X]:((~tall(X)&kind(X))))<=>(old(lucy)))&
((curious(mary))=>((patient(fred)<~>humble(fred))))&
(![X]:(happy(X)<=>(~curious(X)<~>quiet(X))))&
(![X]:((creative(X)&~wise(X))<=>(calm(X)&~brave(X))))&
(![X]:((~patient(X)<~>happy(X))<=>humble(X)))&
(![X]:((happy(X)<~>creative(X))<=>(old(X)<~>~wise(X))))&
(![X]:(rich(X)<=>... | ~rich(lucy) | [
"p2",
"p6",
"p8",
"p11",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3730691645328032146234326
% SZS output start Proof for 3730691645328032146234326
3. ! [X0] : (happy(X0) <=> (~curious(X0) <~> quiet(X0))) [input p2]
7. ! [X0] : (rich(X0) <=> (patient(X0) | brave(X0))) [input p6]
9. ! [X0] : ((~curious(X0) | brave(X0)) <=> (curious(X0) <~> ~quiet(X0))) [i... | 0 |
If someone is old or funny then mary is either not quiet or not wise and vice versa. Everyone who is either not strong or not tall is curious. If someone is not wise then someone is either not kind or quiet. Everyone who is both not patient and not humble is quiet. Everyone who is not kind is rich. Everyone who is eith... | Mary is strong. | entailment | ((?[X]:((old(X)|funny(X))))<=>((~quiet(mary)<~>~wise(mary))))&
(![X]:((~strong(X)<~>~tall(X))=>curious(X)))&
((?[X]:(~wise(X)))=>(?[X]:((~kind(X)<~>quiet(X)))))&
(![X]:((~patient(X)&~humble(X))=>quiet(X)))&
(![X]:(~kind(X)=>rich(X)))&
(![X]:((~patient(X)<~>~strong(X))<=>(~wise(X)<~>~curious(X))))&
(((calm(paul)&~creati... | strong(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9181472983498977210583932
% SZS output start Proof for 9181472983498977210583932
13. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (~happy(X0) & happy(X0))) [input p12]
23. ~strong(mary) [input hypothesis]
55. ! [X0] : (((~strong(X0) | quiet(X0)) | (happy(X0) | ~happy(X0))) & ((~happy(X0) & hap... | 0 |
Everyone who is wise or not strong is both tall and not kind.
If someone is both not funny and old then someone is not calm or not rich and vice versa.
Everyone who is both not calm and funny is rich or generous.
If someone is both not wise and not curious then lucy is not wise or not strong and vice versa.
If mary is ... | Paul is not kind. | entailment | (![X]:((wise(X)|~strong(X))=>(tall(X)&~kind(X))))&
((?[X]:((~funny(X)&old(X))))<=>(?[X]:((~calm(X)|~rich(X)))))&
(![X]:((~calm(X)&funny(X))=>(rich(X)|generous(X))))&
((?[X]:((~wise(X)&~curious(X))))<=>((~wise(lucy)|~strong(lucy))))&
((patient(mary))<=>((humble(susan)&~calm(susan))))&
((~strong(paul))<=>(?[X]:((kind(X)<... | ~kind(paul) | [
"p0",
"p5",
"p6",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1969923929709974425404995
% SZS output start Proof for 1969923929709974425404995
1. ! [X0] : ((~strong(X0) | wise(X0)) => (~kind(X0) & tall(X0))) [input p0]
6. ~strong(paul) <=> ? [X0] : (kind(X0) <~> tall(X0)) [input p5]
7. ! [X0] : (tall(X0) <=> ~old(X0)) [input p6]
15. ! [X0] : ((~brav... | 0 |
Everyone who is both generous and not rich is both not tall and not old.
Everyone who is not quiet is not curious or humble and vice versa.
Everyone who is either patient or not patient is both rich and wise and vice versa.
Everyone who is either not strong or not rich is not kind or not funny and vice versa.
If someon... | Susan is not calm. | entailment | (![X]:((generous(X)&~rich(X))=>(~tall(X)&~old(X))))&
(![X]:(~quiet(X)<=>(~curious(X)|humble(X))))&
(![X]:((patient(X)<~>~patient(X))<=>(rich(X)&wise(X))))&
(![X]:((~strong(X)<~>~rich(X))<=>(~kind(X)|~funny(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((patient(X)<~>~wise(X)))))&
(![X]:((wise(X)&calm(X))<=>(old(X)<~>~patient(X))))... | ~calm(susan) | [
"p2",
"p3",
"p5",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6303359759926624519327778
% SZS output start Proof for 6303359759926624519327778
3. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> (wise(X0) & rich(X0))) [input p2]
4. ! [X0] : ((~strong(X0) <~> ~rich(X0)) <=> (~funny(X0) | ~kind(X0))) [input p3]
6. ! [X0] : ((calm(X0) & wise(X0)) <=> (old(... | 0 |
Everyone who is not tall is not old or wise.
Everyone who is either funny or not happy is either not happy or not rich and vice versa.
Everyone who is strong is either not old or funny.
Everyone who is both not happy and not tall is either not generous or not calm and vice versa.
If someone is not old then paul is not ... | Paul is wise. | entailment | (![X]:(~tall(X)=>(~old(X)|wise(X))))&
(![X]:((funny(X)<~>~happy(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:(strong(X)=>(~old(X)<~>funny(X))))&
(![X]:((~happy(X)&~tall(X))<=>(~generous(X)<~>~calm(X))))&
((?[X]:(~old(X)))=>(~tall(paul)))&
(![X]:((~quiet(X)&~curious(X))<=>(humble(X)&curious(X))))&
(![X]:(~patient(X)<=>(humble(... | wise(paul) | [
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8422722032316906040366513
% SZS output start Proof for 8422722032316906040366513
13. ! [X0] : ((brave(X0) & rich(X0)) <=> (~wise(X0) & happy(X0))) [input p12]
17. ~brave(paul) & happy(paul) [input p16]
24. ~wise(paul) [input hypothesis]
51. ! [X0] : (((brave(X0) & rich(X0)) | (wise(X0) | ... | 0 |
Everyone who is both not strong and not funny is either rich or tall and vice versa.
Everyone who is both not creative and happy is either kind or not old and vice versa.
Everyone who is happy is either not rich or not patient and vice versa.
If someone is both curious and not wise then john is either not old or not ri... | Mary is humble. | contradiction | (![X]:((~strong(X)&~funny(X))<=>(rich(X)<~>tall(X))))&
(![X]:((~creative(X)&happy(X))<=>(kind(X)<~>~old(X))))&
(![X]:(happy(X)<=>(~rich(X)<~>~patient(X))))&
((?[X]:((curious(X)&~wise(X))))<=>((~old(john)<~>~rich(john))))&
(((wise(alice)&~rich(alice)))=>(?[X]:((~patient(X)&happy(X)))))&
(![X]:((~humble(X)&patient(X))<=>... | humble(mary) | [
"p5",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6621619707520516975504292
% SZS output start Proof for 6621619707520516975504292
6. ! [X0] : ((patient(X0) & ~humble(X0)) <=> (~strong(X0) | ~quiet(X0))) [input p5]
24. ~strong(mary) & ~tall(mary) [input p23]
25. humble(mary) [input hypothesis]
51. ! [X0] : (((patient(X0) & ~humble(X0)) |... | 0 |
Everyone who is either generous or not calm is calm and vice versa.
Everyone who is calm is either not brave or brave and vice versa.
If paul is both not kind and not rich then someone is both calm and curious.
If paul is either not creative or not humble then mary is both not kind and brave and vice versa.
Everyone wh... | Lucy is not generous. | contradiction | (![X]:((generous(X)<~>~calm(X))<=>calm(X)))&
(![X]:(calm(X)<=>(~brave(X)<~>brave(X))))&
(((~kind(paul)&~rich(paul)))=>(?[X]:((calm(X)&curious(X)))))&
(((~creative(paul)<~>~humble(paul)))<=>((~kind(mary)&brave(mary))))&
(![X]:(wise(X)=>(~happy(X)&tall(X))))&
(((old(alice)<~>rich(alice)))=>((~patient(susan)|strong(susan)... | ~generous(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3919999135315745404618736
% SZS output start Proof for 3919999135315745404618736
1. ! [X0] : ((generous(X0) <~> ~calm(X0)) <=> calm(X0)) [input p0]
25. ~generous(lucy) [input hypothesis]
39. ! [X0] : ((((calm(X0) | ~generous(X0)) & (~calm(X0) | generous(X0))) | ~calm(X0)) & (calm(X0) | ((... | 0 |
If fred is either happy or creative then alice is both not kind and patient and vice versa.
If someone is tall then alice is either not happy or not funny.
Everyone who is either not brave or calm is humble or quiet.
If someone is funny or not funny then someone is curious and vice versa.
If someone is not curious or h... | Alice is calm. | entailment | (((happy(fred)<~>creative(fred)))<=>((~kind(alice)&patient(alice))))&
((?[X]:(tall(X)))=>((~happy(alice)<~>~funny(alice))))&
(![X]:((~brave(X)<~>calm(X))=>(humble(X)|quiet(X))))&
((?[X]:((funny(X)|~funny(X))))<=>(?[X]:(curious(X))))&
((?[X]:((~curious(X)|happy(X))))=>(?[X]:((~quiet(X)&~curious(X)))))&
(((brave(lucy)<~>... | calm(alice) | [
"p7",
"p15",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7936294835111022519473481
% SZS output start Proof for 7936294835111022519473481
8. (~funny(lucy) | ~calm(lucy)) <=> (~tall(alice) & calm(alice)) [input p7]
16. ! [X0] : ((~funny(X0) & brave(X0)) <=> wise(X0)) [input p15]
17. wise(lucy) | ~curious(lucy) [input p16]
18. ~calm(lucy) <~> cur... | 0 |
If someone is either not old or humble then alice is both funny and humble. Everyone who is either not brave or not kind is not creative or quiet and vice versa. Everyone who is creative is either not brave or curious. Everyone who is generous or patient is not patient or not kind and vice versa. Everyone who is both w... | Mary is kind. | contradiction | ((?[X]:((~old(X)<~>humble(X))))=>((funny(alice)&humble(alice))))&
(![X]:((~brave(X)<~>~kind(X))<=>(~creative(X)|quiet(X))))&
(![X]:(creative(X)=>(~brave(X)<~>curious(X))))&
(![X]:((generous(X)|patient(X))<=>(~patient(X)|~kind(X))))&
(![X]:((wise(X)&~quiet(X))=>(~brave(X)|~quiet(X))))&
(![X]:((~curious(X)<~>~rich(X))<=>... | kind(mary) | [
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1490880504976251542815846
% SZS output start Proof for 1490880504976251542815846
4. ! [X0] : ((patient(X0) | generous(X0)) <=> (~kind(X0) | ~patient(X0))) [input p3]
16. ! [X0] : (generous(X0) => (funny(X0) & patient(X0))) [input p15]
25. kind(mary) [input hypothesis]
34. ! [X0] : ((funny... | 0 |
Everyone who is both rich and patient is either not calm or not wise and vice versa.
Everyone who is generous or wise is either calm or not rich.
If someone is not kind or not happy then mary is strong or not happy and vice versa.
Everyone who is either not humble or curious is not old or brave and vice versa.
Everyone... | Mary is not happy. | entailment | (![X]:((rich(X)&patient(X))<=>(~calm(X)<~>~wise(X))))&
(![X]:((generous(X)|wise(X))=>(calm(X)<~>~rich(X))))&
((?[X]:((~kind(X)|~happy(X))))<=>((strong(mary)|~happy(mary))))&
(![X]:((~humble(X)<~>curious(X))<=>(~old(X)|brave(X))))&
(![X]:((~rich(X)&~wise(X))=>(brave(X)&~wise(X))))&
(![X]:((~brave(X)|rich(X))=>(strong(X)... | ~happy(mary) | [
"p0",
"p1",
"p2",
"p5",
"p9",
"p10",
"p11",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6743832314038708952972033
% SZS output start Proof for 6743832314038708952972033
1. ! [X0] : ((patient(X0) & rich(X0)) <=> (~calm(X0) <~> ~wise(X0))) [input p0]
2. ! [X0] : ((wise(X0) | generous(X0)) => (calm(X0) <~> ~rich(X0))) [input p1]
3. ? [X0] : (~happy(X0) | ~kind(X0)) <=> (~happy(... | 0 |
Everyone who is humble is either wise or creative.
If alice is not brave or not kind then someone is not old or calm.
Everyone who is not kind is wise or not brave.
If mary is either not strong or not humble then mary is not generous or creative.
Everyone who is both not patient and old is not humble.
Everyone who is b... | Alice is not curious. | contradiction | (![X]:(humble(X)=>(wise(X)<~>creative(X))))&
(((~brave(alice)|~kind(alice)))=>(?[X]:((~old(X)|calm(X)))))&
(![X]:(~kind(X)=>(wise(X)|~brave(X))))&
(((~strong(mary)<~>~humble(mary)))=>((~generous(mary)|creative(mary))))&
(![X]:((~patient(X)&old(X))=>~humble(X)))&
(![X]:((brave(X)&~quiet(X))<=>calm(X)))&
(![X]:((quiet(X)... | ~curious(alice) | [
"p5",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 512752619205733966919911
% SZS output start Proof for 512752619205733966919911
6. ! [X0] : ((~quiet(X0) & brave(X0)) <=> calm(X0)) [input p5]
9. ! [X0] : (~humble(X0) <=> (calm(X0) <~> brave(X0))) [input p8]
14. ! [X0] : ((humble(X0) <~> patient(X0)) <=> (patient(X0) | ~calm(X0))) [input ... | 0 |
If lucy is both not rich and old then lucy is both not curious and not kind.
If someone is old or brave then fred is not patient and vice versa.
Everyone who is either brave or not generous is quiet or old.
Everyone who is not patient or humble is not tall and vice versa.
If someone is not happy then mary is not happy.... | Mary is generous. | entailment | (((~rich(lucy)&old(lucy)))=>((~curious(lucy)&~kind(lucy))))&
((?[X]:((old(X)|brave(X))))<=>(~patient(fred)))&
(![X]:((brave(X)<~>~generous(X))=>(quiet(X)|old(X))))&
(![X]:((~patient(X)|humble(X))<=>~tall(X)))&
((?[X]:(~happy(X)))=>(~happy(mary)))&
(![X]:((generous(X)|rich(X))=>(curious(X)<~>~funny(X))))&
(![X]:((~happy... | generous(mary) | [
"p1",
"p2",
"p3",
"p6",
"p9",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8461479184382551600822318
% SZS output start Proof for 8461479184382551600822318
2. ? [X0] : (brave(X0) | old(X0)) <=> ~patient(fred) [input p1]
3. ! [X0] : ((brave(X0) <~> ~generous(X0)) => (old(X0) | quiet(X0))) [input p2]
4. ! [X0] : ((humble(X0) | ~patient(X0)) <=> ~tall(X0)) [input p... | 0 |
Everyone who is either humble or not wise is both not generous and quiet. If john is not calm or rich then someone is not patient. If mary is not happy then someone is kind or quiet and vice versa. If someone is calm then someone is not wise. Everyone who is not calm or not creative is funny or not funny and vice versa... | John is not kind. | neutral | (![X]:((humble(X)<~>~wise(X))=>(~generous(X)&quiet(X))))&
(((~calm(john)|rich(john)))=>(?[X]:(~patient(X))))&
((~happy(mary))<=>(?[X]:((kind(X)|quiet(X)))))&
((?[X]:(calm(X)))=>(?[X]:(~wise(X))))&
(![X]:((~calm(X)|~creative(X))<=>(funny(X)|~funny(X))))&
((?[X]:((~quiet(X)&~funny(X))))=>(?[X]:((wise(X)&~old(X)))))&
(![X... | ~kind(john) | [] | null | 0 |
If someone is either not curious or not funny then someone is not creative and vice versa.
If fred is not creative then mary is either curious or not happy and vice versa.
Everyone who is humble is both not generous and kind.
Everyone who is not humble is either generous or tall and vice versa.
Everyone who is either n... | Fred is not patient. | neutral | ((?[X]:((~curious(X)<~>~funny(X))))<=>(?[X]:(~creative(X))))&
((~creative(fred))<=>((curious(mary)<~>~happy(mary))))&
(![X]:(humble(X)=>(~generous(X)&kind(X))))&
(![X]:(~humble(X)<=>(generous(X)<~>tall(X))))&
(![X]:((~creative(X)<~>~old(X))=>(~funny(X)<~>~generous(X))))&
(((~wise(lucy)<~>~creative(lucy)))<=>(?[X]:((cur... | ~patient(fred) | [] | null | 0 |
If paul is not curious then lucy is not strong.
If someone is either not curious or not happy then paul is both not tall and tall and vice versa.
If alice is not funny or not quiet then mary is either happy or brave and vice versa.
If someone is creative then paul is both not old and kind and vice versa.
Everyone who i... | Paul is not creative. | contradiction | ((~curious(paul))=>(~strong(lucy)))&
((?[X]:((~curious(X)<~>~happy(X))))<=>((~tall(paul)&tall(paul))))&
(((~funny(alice)|~quiet(alice)))<=>((happy(mary)<~>brave(mary))))&
((?[X]:(creative(X)))<=>((~old(paul)&kind(paul))))&
(![X]:(brave(X)<=>(~creative(X)<~>brave(X))))&
(![X]:((~brave(X)&~kind(X))=>~funny(X)))&
(![X]:((... | ~creative(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1456915369662874196606088
% SZS output start Proof for 1456915369662874196606088
5. ! [X0] : (brave(X0) <=> (~creative(X0) <~> brave(X0))) [input p4]
23. ~creative(paul) [input hypothesis]
47. ! [X0] : ((brave(X0) | ((~creative(X0) | ~brave(X0)) & (brave(X0) | creative(X0)))) & (((~brave(... | 0 |
Everyone who is either not patient or wise is funny or generous and vice versa.
Everyone who is generous or kind is curious.
Everyone who is either not old or not generous is either not patient or generous.
If someone is rich then lucy is not rich or not generous.
Everyone who is either not kind or not patient is both ... | Susan is old. | contradiction | (![X]:((~patient(X)<~>wise(X))<=>(funny(X)|generous(X))))&
(![X]:((generous(X)|kind(X))=>curious(X)))&
(![X]:((~old(X)<~>~generous(X))=>(~patient(X)<~>generous(X))))&
((?[X]:(rich(X)))=>((~rich(lucy)|~generous(lucy))))&
(![X]:((~kind(X)<~>~patient(X))<=>(~generous(X)&wise(X))))&
(((~funny(mary)|strong(mary)))=>(~curiou... | old(susan) | [
"p0",
"p1",
"p2",
"p4",
"p7",
"p8",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 438392241724535328930078
% SZS output start Proof for 438392241724535328930078
1. ! [X0] : ((~patient(X0) <~> wise(X0)) <=> (generous(X0) | funny(X0))) [input p0]
2. ! [X0] : ((kind(X0) | generous(X0)) => curious(X0)) [input p1]
3. ! [X0] : ((~old(X0) <~> ~generous(X0)) => (~patient(X0) <... | 0 |
If someone is not rich or not kind then someone is funny or not quiet. If alice is humble then someone is either not curious or not happy and vice versa. Everyone who is both not generous and not patient is either not happy or generous. If mary is either not funny or not generous then someone is quiet and vice versa. E... | Mary is tall. | contradiction | ((?[X]:((~rich(X)|~kind(X))))=>(?[X]:((funny(X)|~quiet(X)))))&
((humble(alice))<=>(?[X]:((~curious(X)<~>~happy(X)))))&
(![X]:((~generous(X)&~patient(X))=>(~happy(X)<~>generous(X))))&
(((~funny(mary)<~>~generous(mary)))<=>(?[X]:(quiet(X))))&
(![X]:((generous(X)<~>~strong(X))=>quiet(X)))&
((?[X]:((rich(X)<~>calm(X))))=>(... | tall(mary) | [
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3314541020587074242938258
% SZS output start Proof for 3314541020587074242938258
8. ! [X0] : ((strong(X0) | humble(X0)) => (~tall(X0) & ~quiet(X0))) [input p7]
20. strong(mary) & ~old(mary) [input p19]
25. tall(mary) [input hypothesis]
34. ! [X0] : ((~tall(X0) & ~quiet(X0)) | (~strong(X0)... | 0 |
If alice is not happy or funny then mary is not brave.
Everyone who is not strong or not rich is both wise and not funny and vice versa.
If someone is old or not patient then paul is kind.
Everyone who is both brave and quiet is not funny and vice versa.
If someone is either not creative or humble then alice is both no... | John is generous. | entailment | (((~happy(alice)|funny(alice)))=>(~brave(mary)))&
(![X]:((~strong(X)|~rich(X))<=>(wise(X)&~funny(X))))&
((?[X]:((old(X)|~patient(X))))=>(kind(paul)))&
(![X]:((brave(X)&quiet(X))<=>~funny(X)))&
((?[X]:((~creative(X)<~>humble(X))))<=>((~kind(alice)&~strong(alice))))&
(((generous(susan)|~humble(susan)))=>((curious(fred)<~... | generous(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8670882870251962797289595
% SZS output start Proof for 8670882870251962797289595
12. ! [X0] : ((~humble(X0) | humble(X0)) => (~humble(X0) & generous(X0))) [input p11]
23. ~generous(john) [input hypothesis]
30. ! [X0] : ((~humble(X0) & generous(X0)) | (humble(X0) & ~humble(X0))) [ennf tran... | 0 |
Everyone who is both not strong and curious is both brave and not generous and vice versa. Everyone who is either not generous or tall is either not tall or not creative. If someone is either strong or happy then someone is not tall or not creative and vice versa. Everyone who is not calm is both wise and patient and v... | John is not strong. | contradiction | (![X]:((~strong(X)&curious(X))<=>(brave(X)&~generous(X))))&
(![X]:((~generous(X)<~>tall(X))=>(~tall(X)<~>~creative(X))))&
((?[X]:((strong(X)<~>happy(X))))<=>(?[X]:((~tall(X)|~creative(X)))))&
(![X]:(~calm(X)<=>(wise(X)&patient(X))))&
(((strong(susan)<~>~curious(susan)))=>(?[X]:((wise(X)<~>~humble(X)))))&
(![X]:((patien... | ~strong(john) | [
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1931929604270913057122898
% SZS output start Proof for 1931929604270913057122898
4. ! [X0] : (~calm(X0) <=> (patient(X0) & wise(X0))) [input p3]
11. ! [X0] : ((~strong(X0) | ~curious(X0)) => (~wise(X0) & ~calm(X0))) [input p10]
24. ~strong(john) [input hypothesis]
36. ! [X0] : ((~wise(X0)... | 0 |
If susan is happy then someone is old or not rich and vice versa. If someone is not brave then susan is not quiet. Everyone who is not rich is either not humble or not patient. If fred is both generous and happy then fred is generous and vice versa. Everyone who is old is not tall. If someone is both not curious and no... | John is creative. | entailment | ((happy(susan))<=>(?[X]:((old(X)|~rich(X)))))&
((?[X]:(~brave(X)))=>(~quiet(susan)))&
(![X]:(~rich(X)=>(~humble(X)<~>~patient(X))))&
(((generous(fred)&happy(fred)))<=>(generous(fred)))&
(![X]:(old(X)=>~tall(X)))&
((?[X]:((~curious(X)&~quiet(X))))=>(?[X]:((calm(X)&humble(X)))))&
(![X]:((~generous(X)<~>~kind(X))=>(humble... | creative(john) | [
"p0",
"p13",
"p14",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 461027796885002597855079
% SZS output start Proof for 461027796885002597855079
1. happy(susan) <=> ? [X0] : (~rich(X0) | old(X0)) [input p0]
14. ! [X0] : ((~patient(X0) & creative(X0)) <=> (~happy(X0) | ~humble(X0))) [input p13]
15. ! [X0] : ((happy(X0) <~> ~patient(X0)) => (creative(X0) ... | 0 |
Everyone who is not funny is curious or not tall.
Everyone who is both not happy and funny is not calm and vice versa.
Everyone who is either not happy or happy is curious and vice versa.
Everyone who is brave is generous and vice versa.
If fred is calm or creative then someone is both not tall and generous and vice ve... | Paul is not curious. | contradiction | (![X]:(~funny(X)=>(curious(X)|~tall(X))))&
(![X]:((~happy(X)&funny(X))<=>~calm(X)))&
(![X]:((~happy(X)<~>happy(X))<=>curious(X)))&
(![X]:(brave(X)<=>generous(X)))&
(((calm(fred)|creative(fred)))<=>(?[X]:((~tall(X)&generous(X)))))&
(![X]:((strong(X)&happy(X))<=>(creative(X)&calm(X))))&
((?[X]:((~old(X)&~rich(X))))<=>(?[... | ~curious(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 744193564281161815650504
% SZS output start Proof for 744193564281161815650504
3. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> curious(X0)) [input p2]
24. ~curious(paul) [input hypothesis]
36. ! [X0] : ((((~happy(X0) | happy(X0)) & (happy(X0) | ~happy(X0))) | ~curious(X0)) & (curious(X0) | ((... | 0 |
Everyone who is either creative or humble is not quiet.
Everyone who is either not brave or wise is both not generous and not humble and vice versa.
Everyone who is either strong or funny is both humble and not funny.
Everyone who is both not patient and happy is either not patient or not tall.
If someone is either fun... | Mary is happy. | entailment | (![X]:((creative(X)<~>humble(X))=>~quiet(X)))&
(![X]:((~brave(X)<~>wise(X))<=>(~generous(X)&~humble(X))))&
(![X]:((strong(X)<~>funny(X))=>(humble(X)&~funny(X))))&
(![X]:((~patient(X)&happy(X))=>(~patient(X)<~>~tall(X))))&
((?[X]:((funny(X)<~>~patient(X))))=>(?[X]:((~patient(X)|brave(X)))))&
(![X]:((strong(X)|happy(X))=... | happy(mary) | [
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3781468254370136491333600
% SZS output start Proof for 3781468254370136491333600
9. ! [X0] : ((strong(X0) & kind(X0)) <=> (kind(X0) <~> ~brave(X0))) [input p8]
11. ! [X0] : (kind(X0) <=> (happy(X0) & humble(X0))) [input p10]
12. ! [X0] : (quiet(X0) => happy(X0)) [input p11]
14. ! [X0] : (... | 0 |
Everyone who is not humble or not patient is old or generous and vice versa.
If lucy is either not old or not happy then paul is either calm or tall and vice versa.
If someone is not calm or quiet then someone is either not curious or not quiet and vice versa.
Everyone who is generous or quiet is not humble.
Everyone w... | Paul is not quiet. | contradiction | (![X]:((~humble(X)|~patient(X))<=>(old(X)|generous(X))))&
(((~old(lucy)<~>~happy(lucy)))<=>((calm(paul)<~>tall(paul))))&
((?[X]:((~calm(X)|quiet(X))))<=>(?[X]:((~curious(X)<~>~quiet(X)))))&
(![X]:((generous(X)|quiet(X))=>~humble(X)))&
(![X]:(~strong(X)<=>(humble(X)&calm(X))))&
(((~calm(paul)&brave(paul)))<=>(kind(lucy)... | ~quiet(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4366212959492757859699095
% SZS output start Proof for 4366212959492757859699095
10. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (~humble(X0) | ~quiet(X0))) [input p9]
24. ~quiet(paul) [input hypothesis]
49. ! [X0] : (((quiet(X0) & ~happy(X0)) | (humble(X0) & quiet(X0))) & ((~humble(X0) | ~qui... | 0 |
Everyone who is both quiet and rich is not creative and vice versa. If susan is brave then john is not kind or wise. Everyone who is both humble and not calm is calm and vice versa. Everyone who is either not wise or not old is not old or not funny and vice versa. Everyone who is not old is quiet and vice versa. If som... | Fred is wise. | entailment | (![X]:((quiet(X)&rich(X))<=>~creative(X)))&
((brave(susan))=>((~kind(john)|wise(john))))&
(![X]:((humble(X)&~calm(X))<=>calm(X)))&
(![X]:((~wise(X)<~>~old(X))<=>(~old(X)|~funny(X))))&
(![X]:(~old(X)<=>quiet(X)))&
((?[X]:((old(X)<~>~funny(X))))<=>(?[X]:((~calm(X)<~>happy(X)))))&
(![X]:(brave(X)<=>(~rich(X)|~curious(X)))... | wise(fred) | [
"p2",
"p3",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9145178593990557826619098
% SZS output start Proof for 9145178593990557826619098
3. ! [X0] : ((~calm(X0) & humble(X0)) <=> calm(X0)) [input p2]
4. ! [X0] : ((~wise(X0) <~> ~old(X0)) <=> (~funny(X0) | ~old(X0))) [input p3]
14. ? [X0] : humble(X0) <=> ? [X0] : (~old(X0) <~> tall(X0)) [input... | 0 |
Everyone who is humble is not rich and vice versa. Everyone who is both not quiet and not calm is either not funny or kind and vice versa. Everyone who is not tall or not creative is creative or not kind. If someone is curious then someone is not creative and vice versa. Everyone who is either not kind or creative is n... | Alice is not happy. | contradiction | (![X]:(humble(X)<=>~rich(X)))&
(![X]:((~quiet(X)&~calm(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~tall(X)|~creative(X))=>(creative(X)|~kind(X))))&
((?[X]:(curious(X)))<=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)<~>creative(X))=>~old(X)))&
((humble(mary))=>(~creative(john)))&
(![X]:(kind(X)<=>(~brave(X)&quiet(X))))&
(![X]:(... | ~happy(alice) | [
"p8",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6113543682037915352846625
% SZS output start Proof for 6113543682037915352846625
9. ! [X0] : (~humble(X0) => brave(X0)) [input p8]
13. ! [X0] : ((brave(X0) & ~wise(X0)) <=> (wise(X0) <~> happy(X0))) [input p12]
23. ~curious(alice) & ~humble(alice) [input p22]
24. ~happy(alice) [input hypo... | 0 |
Everyone who is not funny or kind is tall.
If john is kind then alice is either not brave or not patient.
Everyone who is wise or not wise is rich.
Everyone who is both rich and not kind is both funny and strong and vice versa.
If someone is either tall or generous then someone is both not old and not wise.
Everyone wh... | John is strong. | entailment | (![X]:((~funny(X)|kind(X))=>tall(X)))&
((kind(john))=>((~brave(alice)<~>~patient(alice))))&
(![X]:((wise(X)|~wise(X))=>rich(X)))&
(![X]:((rich(X)&~kind(X))<=>(funny(X)&strong(X))))&
((?[X]:((tall(X)<~>generous(X))))=>(?[X]:((~old(X)&~wise(X)))))&
(![X]:((~old(X)|~calm(X))=>(~tall(X)|creative(X))))&
(![X]:((~kind(X)<~>~... | strong(john) | [
"p2",
"p3",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 12576197351059699697718
% SZS output start Proof for 12576197351059699697718
3. ! [X0] : ((~wise(X0) | wise(X0)) => rich(X0)) [input p2]
4. ! [X0] : ((~kind(X0) & rich(X0)) <=> (strong(X0) & funny(X0))) [input p3]
9. ! [X0] : (~patient(X0) <=> (kind(X0) | ~funny(X0))) [input p8]
22. patie... | 0 |
Everyone who is either not wise or curious is not tall.
Everyone who is either rich or not brave is both not quiet and patient.
Everyone who is both old and not brave is not old or brave.
Everyone who is not strong is old or not brave and vice versa.
If john is both not funny and not happy then paul is both patient and... | Lucy is not strong. | entailment | (![X]:((~wise(X)<~>curious(X))=>~tall(X)))&
(![X]:((rich(X)<~>~brave(X))=>(~quiet(X)&patient(X))))&
(![X]:((old(X)&~brave(X))=>(~old(X)|brave(X))))&
(![X]:(~strong(X)<=>(old(X)|~brave(X))))&
(((~funny(john)&~happy(john)))=>((patient(paul)&creative(paul))))&
(![X]:((~tall(X)|~calm(X))=>~rich(X)))&
(((strong(mary)|old(ma... | ~strong(lucy) | [
"p1",
"p3",
"p10",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4866255856162848737976463
% SZS output start Proof for 4866255856162848737976463
2. ! [X0] : ((rich(X0) <~> ~brave(X0)) => (patient(X0) & ~quiet(X0))) [input p1]
4. ! [X0] : (~strong(X0) <=> (~brave(X0) | old(X0))) [input p3]
11. ! [X0] : ((patient(X0) <~> ~humble(X0)) <=> (~humble(X0) & ... | 0 |
If mary is both not rich and not humble then lucy is either wise or patient and vice versa.
Everyone who is tall or not humble is not generous.
Everyone who is either not generous or old is both not kind and patient.
Everyone who is both not patient and not quiet is funny or not strong and vice versa.
Everyone who is b... | Fred is not humble. | contradiction | (((~rich(mary)&~humble(mary)))<=>((wise(lucy)<~>patient(lucy))))&
(![X]:((tall(X)|~humble(X))=>~generous(X)))&
(![X]:((~generous(X)<~>old(X))=>(~kind(X)&patient(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(funny(X)|~strong(X))))&
(![X]:((patient(X)&~quiet(X))=>(tall(X)|kind(X))))&
(![X]:((~happy(X)<~>wise(X))=>(wise(X)&bra... | ~humble(fred) | [
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6229526607289212659630603
% SZS output start Proof for 6229526607289212659630603
11. ! [X0] : ((quiet(X0) <~> ~wise(X0)) <=> (~curious(X0) & humble(X0))) [input p10]
15. ! [X0] : ((patient(X0) | ~humble(X0)) => (~quiet(X0) & tall(X0))) [input p14]
19. ~wise(fred) [input p18]
25. ~humble(f... | 0 |
Everyone who is not funny or not patient is both creative and not old.
Everyone who is both strong and wise is either not creative or not kind and vice versa.
If someone is both curious and strong then susan is not curious and vice versa.
Everyone who is both old and generous is either funny or rich.
Everyone who is ei... | Mary is not creative. | contradiction | (![X]:((~funny(X)|~patient(X))=>(creative(X)&~old(X))))&
(![X]:((strong(X)&wise(X))<=>(~creative(X)<~>~kind(X))))&
((?[X]:((curious(X)&strong(X))))<=>(~curious(susan)))&
(![X]:((old(X)&generous(X))=>(funny(X)<~>rich(X))))&
(![X]:((~kind(X)<~>tall(X))=>~creative(X)))&
((?[X]:(~curious(X)))<=>(?[X]:((kind(X)&~rich(X)))))... | ~creative(mary) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 414419265180981108259613
% SZS output start Proof for 414419265180981108259613
1. ! [X0] : ((~patient(X0) | ~funny(X0)) => (~old(X0) & creative(X0))) [input p0]
7. ! [X0] : ((~creative(X0) | wise(X0)) <=> ~patient(X0)) [input p6]
24. ~creative(mary) [input hypothesis]
28. ! [X0] : ((~old(... | 0 |
Everyone who is quiet or not rich is not happy. If someone is either not patient or not generous then someone is calm. Everyone who is generous or rich is happy and vice versa. Everyone who is calm or not generous is both not wise and old and vice versa. If john is either curious or not quiet then someone is tall or no... | Paul is wise. | entailment | (![X]:((quiet(X)|~rich(X))=>~happy(X)))&
((?[X]:((~patient(X)<~>~generous(X))))=>(?[X]:(calm(X))))&
(![X]:((generous(X)|rich(X))<=>happy(X)))&
(![X]:((calm(X)|~generous(X))<=>(~wise(X)&old(X))))&
(((curious(john)<~>~quiet(john)))<=>(?[X]:((tall(X)|~happy(X)))))&
(![X]:((tall(X)<~>~generous(X))<=>(tall(X)|rich(X))))&
(!... | wise(paul) | [
"p0",
"p2",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9050066337977307696980434
% SZS output start Proof for 9050066337977307696980434
1. ! [X0] : ((~rich(X0) | quiet(X0)) => ~happy(X0)) [input p0]
3. ! [X0] : ((rich(X0) | generous(X0)) <=> happy(X0)) [input p2]
6. ! [X0] : ((tall(X0) <~> ~generous(X0)) <=> (rich(X0) | tall(X0))) [input p5]
... | 0 |
If someone is strong or not rich then john is creative.
Everyone who is calm or brave is not calm and vice versa.
If susan is not quiet then susan is either not funny or strong and vice versa.
Everyone who is rich or not wise is either patient or not wise.
If someone is either not funny or quiet then mary is curious or... | Lucy is kind. | neutral | ((?[X]:((strong(X)|~rich(X))))=>(creative(john)))&
(![X]:((calm(X)|brave(X))<=>~calm(X)))&
((~quiet(susan))<=>((~funny(susan)<~>strong(susan))))&
(![X]:((rich(X)|~wise(X))=>(patient(X)<~>~wise(X))))&
((?[X]:((~funny(X)<~>quiet(X))))=>((curious(mary)|brave(mary))))&
(![X]:((~quiet(X)<~>brave(X))<=>(patient(X)|~happy(X))... | kind(lucy) | [] | null | 0 |
Everyone who is brave or humble is humble or patient and vice versa.
Everyone who is not old or happy is both not creative and kind and vice versa.
Everyone who is either humble or not curious is either not happy or strong.
If someone is not funny then someone is quiet or funny and vice versa.
Everyone who is both stro... | Paul is not brave. | neutral | (![X]:((brave(X)|humble(X))<=>(humble(X)|patient(X))))&
(![X]:((~old(X)|happy(X))<=>(~creative(X)&kind(X))))&
(![X]:((humble(X)<~>~curious(X))=>(~happy(X)<~>strong(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((quiet(X)|funny(X)))))&
(![X]:((strong(X)&patient(X))=>(tall(X)<~>~creative(X))))&
((?[X]:(~patient(X)))=>(?[X]:((tall(X... | ~brave(paul) | [] | null | 0 |
Everyone who is generous or not funny is either creative or not rich and vice versa.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who is not rich or kind is strong.
If someone is not brave... | Paul is quiet. | entailment | (![X]:((generous(X)|~funny(X))<=>(creative(X)<~>~rich(X))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|humble(paul))))&
((?[X]:((funny(X)<~>tall(X))))=>((ha... | quiet(paul) | [
"p0",
"p7",
"p8",
"p9",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4190620110435566953250402
% SZS output start Proof for 4190620110435566953250402
1. ! [X0] : ((~funny(X0) | generous(X0)) <=> (creative(X0) <~> ~rich(X0))) [input p0]
8. ! [X0] : ((patient(X0) | ~quiet(X0)) => ~rich(X0)) [input p7]
9. ! [X0] : ((~rich(X0) | rich(X0)) <=> ~funny(X0)) [inpu... | 0 |
Everyone who is strong is not curious or not tall. Everyone who is not happy is both quiet and calm. If alice is both not creative and not curious then someone is not calm and vice versa. If someone is either funny or not humble then someone is wise or not humble and vice versa. If alice is both not strong and tall the... | Alice is calm. | neutral | (![X]:(strong(X)=>(~curious(X)|~tall(X))))&
(![X]:(~happy(X)=>(quiet(X)&calm(X))))&
(((~creative(alice)&~curious(alice)))<=>(?[X]:(~calm(X))))&
((?[X]:((funny(X)<~>~humble(X))))<=>(?[X]:((wise(X)|~humble(X)))))&
(((~strong(alice)&tall(alice)))<=>(~calm(alice)))&
((?[X]:(~strong(X)))<=>(?[X]:((~kind(X)<~>~quiet(X)))))&
... | calm(alice) | [] | null | 0 |
If someone is not happy or not brave then susan is both calm and not rich.
If someone is either not funny or funny then paul is either not calm or not tall and vice versa.
If someone is both generous and not generous then someone is kind and vice versa.
Everyone who is not funny is not calm or not generous and vice ver... | John is brave. | entailment | ((?[X]:((~happy(X)|~brave(X))))=>((calm(susan)&~rich(susan))))&
((?[X]:((~funny(X)<~>funny(X))))<=>((~calm(paul)<~>~tall(paul))))&
((?[X]:((generous(X)&~generous(X))))<=>(?[X]:(kind(X))))&
(![X]:(~funny(X)<=>(~calm(X)|~generous(X))))&
(((patient(alice)&~generous(alice)))=>(?[X]:(wise(X))))&
((tall(susan))<=>(?[X]:((~br... | brave(john) | [
"p0",
"p2",
"p5",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3523022479007131334901256
% SZS output start Proof for 3523022479007131334901256
1. ? [X0] : (~brave(X0) | ~happy(X0)) => (~rich(susan) & calm(susan)) [input p0]
3. ? [X0] : (~generous(X0) & generous(X0)) <=> ? [X0] : kind(X0) [input p2]
6. tall(susan) <=> ? [X0] : (~happy(X0) | ~brave(X0... | 0 |
Everyone who is old is not tall or old.
If someone is both old and not tall then someone is both calm and curious and vice versa.
If john is not wise then lucy is both not happy and calm.
Everyone who is either not wise or brave is patient.
If someone is not funny or not quiet then john is wise or not creative and vice... | Alice is happy. | entailment | (![X]:(old(X)=>(~tall(X)|old(X))))&
((?[X]:((old(X)&~tall(X))))<=>(?[X]:((calm(X)&curious(X)))))&
((~wise(john))=>((~happy(lucy)&calm(lucy))))&
(![X]:((~wise(X)<~>brave(X))=>patient(X)))&
((?[X]:((~funny(X)|~quiet(X))))<=>((wise(john)|~creative(john))))&
(![X]:((calm(X)&~patient(X))<=>~funny(X)))&
(![X]:(~rich(X)<=>~ol... | happy(alice) | [
"p12",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2756988196866383933199680
% SZS output start Proof for 2756988196866383933199680
13. ! [X0] : (~happy(X0) <=> (quiet(X0) & brave(X0))) [input p12]
14. ? [X0] : (tall(X0) | happy(X0)) => (~brave(alice) & ~kind(alice)) [input p13]
24. ? [X0] : (old(X0) & tall(X0)) [input p23]
25. ~happy(ali... | 0 |
Everyone who is either not old or old is either happy or rich.
Everyone who is both brave and not strong is not calm or curious and vice versa.
If lucy is humble or generous then someone is not generous or creative.
If john is both not rich and kind then someone is both strong and not kind and vice versa.
If someone is... | John is not tall. | neutral | (![X]:((~old(X)<~>old(X))=>(happy(X)<~>rich(X))))&
(![X]:((brave(X)&~strong(X))<=>(~calm(X)|curious(X))))&
(((humble(lucy)|generous(lucy)))=>(?[X]:((~generous(X)|creative(X)))))&
(((~rich(john)&kind(john)))<=>(?[X]:((strong(X)&~kind(X)))))&
((?[X]:(~calm(X)))<=>((wise(paul)<~>~rich(paul))))&
(![X]:((~patient(X)|old(X))... | ~tall(john) | [] | null | 0 |
If someone is either funny or not quiet then paul is rich and vice versa. Everyone who is either not calm or not quiet is both not strong and not rich and vice versa. If mary is creative or not strong then susan is both not kind and kind and vice versa. If mary is both not rich and not old then alice is both not tall a... | John is quiet. | neutral | ((?[X]:((funny(X)<~>~quiet(X))))<=>(rich(paul)))&
(![X]:((~calm(X)<~>~quiet(X))<=>(~strong(X)&~rich(X))))&
(((creative(mary)|~strong(mary)))<=>((~kind(susan)&kind(susan))))&
(((~rich(mary)&~old(mary)))=>((~tall(alice)&tall(alice))))&
(![X]:((~old(X)&~generous(X))<=>(old(X)&~creative(X))))&
(![X]:(brave(X)<=>wise(X)))&
... | quiet(john) | [] | null | 0 |
Everyone who is both not patient and funny is not curious. Everyone who is quiet is both not humble and not creative. Everyone who is not humble is both happy and not humble. Everyone who is either kind or creative is not quiet or not brave. Everyone who is not tall or not kind is not old and vice versa. If someone is ... | Susan is curious. | contradiction | (![X]:((~patient(X)&funny(X))=>~curious(X)))&
(![X]:(quiet(X)=>(~humble(X)&~creative(X))))&
(![X]:(~humble(X)=>(happy(X)&~humble(X))))&
(![X]:((kind(X)<~>creative(X))=>(~quiet(X)|~brave(X))))&
(![X]:((~tall(X)|~kind(X))<=>~old(X)))&
((?[X]:((~funny(X)<~>~brave(X))))<=>(?[X]:((rich(X)&~strong(X)))))&
(![X]:(~happy(X)<=>... | curious(susan) | [
"p1",
"p2",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5402054286453801217427463
% SZS output start Proof for 5402054286453801217427463
2. ! [X0] : (quiet(X0) => (~creative(X0) & ~humble(X0))) [input p1]
3. ! [X0] : (~humble(X0) => (~humble(X0) & happy(X0))) [input p2]
9. ! [X0] : ((~humble(X0) | calm(X0)) <=> (~curious(X0) | ~happy(X0))) [in... | 0 |
If paul is both not brave and not quiet then john is either curious or not old and vice versa. If someone is humble then susan is both calm and strong and vice versa. If paul is quiet or not old then mary is old and vice versa. If someone is either not brave or calm then mary is either not happy or brave and vice versa... | Paul is not happy. | entailment | (((~brave(paul)&~quiet(paul)))<=>((curious(john)<~>~old(john))))&
((?[X]:(humble(X)))<=>((calm(susan)&strong(susan))))&
(((quiet(paul)|~old(paul)))<=>(old(mary)))&
((?[X]:((~brave(X)<~>calm(X))))<=>((~happy(mary)<~>brave(mary))))&
(![X]:(~brave(X)<=>kind(X)))&
(((humble(john)|~patient(john)))<=>(?[X]:((~generous(X)<~>~... | ~happy(paul) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5773185830048998544357558
% SZS output start Proof for 5773185830048998544357558
8. ? [X0] : happy(X0) => ? [X0] : ~strong(X0) [input p7]
10. ! [X0] : ((~strong(X0) | ~humble(X0)) <=> strong(X0)) [input p9]
23. happy(paul) [input hypothesis]
24. ? [X0] : happy(X0) => ? [X1] : ~strong(X1) ... | 0 |
Everyone who is both not creative and funny is happy. Everyone who is not calm is brave or wise and vice versa. If paul is kind then someone is curious. Everyone who is both not kind and kind is either patient or not calm and vice versa. Everyone who is not happy is not rich or not quiet. Everyone who is creative or no... | Paul is humble. | contradiction | (![X]:((~creative(X)&funny(X))=>happy(X)))&
(![X]:(~calm(X)<=>(brave(X)|wise(X))))&
((kind(paul))=>(?[X]:(curious(X))))&
(![X]:((~kind(X)&kind(X))<=>(patient(X)<~>~calm(X))))&
(![X]:(~happy(X)=>(~rich(X)|~quiet(X))))&
(![X]:((creative(X)|~wise(X))<=>(~strong(X)|humble(X))))&
(![X]:((~rich(X)|~curious(X))=>(kind(X)|~hap... | humble(paul) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 241474787239007193188092
% SZS output start Proof for 241474787239007193188092
9. ! [X0] : (humble(X0) <=> (~rich(X0) <~> ~humble(X0))) [input p8]
14. ? [X0] : humble(X0) <=> (kind(mary) & rich(mary)) [input p13]
25. humble(paul) [input hypothesis]
47. ! [X0] : ((humble(X0) | ((~rich(X0) ... | 0 |
Everyone who is not happy is both humble and not creative.
If someone is rich then lucy is rich.
Everyone who is both funny and not old is either patient or not happy.
Everyone who is either generous or not humble is not brave and vice versa.
Everyone who is both not calm and strong is either brave or quiet and vice ve... | Fred is not brave. | entailment | (![X]:(~happy(X)=>(humble(X)&~creative(X))))&
((?[X]:(rich(X)))=>(rich(lucy)))&
(![X]:((funny(X)&~old(X))=>(patient(X)<~>~happy(X))))&
(![X]:((generous(X)<~>~humble(X))<=>~brave(X)))&
(![X]:((~calm(X)&strong(X))<=>(brave(X)<~>quiet(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((~old(X)|patient(X)))))&
(![X]:((quiet(X)&~wise(X))<... | ~brave(fred) | [
"p0",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3482454196406515359125591
% SZS output start Proof for 3482454196406515359125591
1. ! [X0] : (~happy(X0) => (~creative(X0) & humble(X0))) [input p0]
11. ! [X0] : ((~happy(X0) <~> brave(X0)) <=> (~rich(X0) & ~brave(X0))) [input p10]
13. ! [X0] : (~humble(X0) <=> (happy(X0) <~> ~creative(X0... | 0 |
Everyone who is both brave and humble is not funny and vice versa.
Everyone who is either not strong or old is either not kind or patient.
If someone is not strong then susan is both not quiet and not generous.
If mary is generous or not brave then susan is not rich or not curious.
Everyone who is either rich or not ki... | Susan is not kind. | entailment | (![X]:((brave(X)&humble(X))<=>~funny(X)))&
(![X]:((~strong(X)<~>old(X))=>(~kind(X)<~>patient(X))))&
((?[X]:(~strong(X)))=>((~quiet(susan)&~generous(susan))))&
(((generous(mary)|~brave(mary)))=>((~rich(susan)|~curious(susan))))&
(![X]:((rich(X)<~>~kind(X))=>patient(X)))&
((?[X]:((humble(X)&~generous(X))))<=>(strong(mary... | ~kind(susan) | [
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7696664709909184178131905
% SZS output start Proof for 7696664709909184178131905
11. ! [X0] : ((~humble(X0) | curious(X0)) <=> ~kind(X0)) [input p10]
15. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> kind(X0)) [input p14]
25. kind(susan) [input hypothesis]
51. ! [X0] : (((~humble(X0) | curiou... | 0 |
If fred is either not tall or not kind then susan is both brave and curious.
Everyone who is either not wise or not humble is not generous or not old and vice versa.
Everyone who is either curious or not strong is either funny or not calm.
If someone is both generous and happy then susan is both funny and not creative.... | Alice is not rich. | neutral | (((~tall(fred)<~>~kind(fred)))=>((brave(susan)&curious(susan))))&
(![X]:((~wise(X)<~>~humble(X))<=>(~generous(X)|~old(X))))&
(![X]:((curious(X)<~>~strong(X))=>(funny(X)<~>~calm(X))))&
((?[X]:((generous(X)&happy(X))))=>((funny(susan)&~creative(susan))))&
(![X]:(humble(X)<=>(wise(X)|happy(X))))&
((?[X]:((old(X)&quiet(X))... | ~rich(alice) | [] | null | 0 |
If someone is not calm then lucy is both tall and old. If paul is kind or old then someone is happy or generous. Everyone who is not happy or humble is not wise or funny and vice versa. Everyone who is either not old or kind is either not calm or generous and vice versa. If fred is both not quiet and rich then mary is ... | Lucy is kind. | neutral | ((?[X]:(~calm(X)))=>((tall(lucy)&old(lucy))))&
(((kind(paul)|old(paul)))=>(?[X]:((happy(X)|generous(X)))))&
(![X]:((~happy(X)|humble(X))<=>(~wise(X)|funny(X))))&
(![X]:((~old(X)<~>kind(X))<=>(~calm(X)<~>generous(X))))&
(((~quiet(fred)&rich(fred)))=>((tall(mary)&creative(mary))))&
(![X]:(creative(X)<=>calm(X)))&
(![X]:(... | kind(lucy) | [] | null | 0 |
If mary is not brave then lucy is either happy or curious and vice versa. If someone is both not kind and rich then john is either humble or not old. If paul is not tall then someone is curious or not quiet and vice versa. Everyone who is either humble or old is not brave and vice versa. Everyone who is either calm or ... | Lucy is generous. | entailment | ((~brave(mary))<=>((happy(lucy)<~>curious(lucy))))&
((?[X]:((~kind(X)&rich(X))))=>((humble(john)<~>~old(john))))&
((~tall(paul))<=>(?[X]:((curious(X)|~quiet(X)))))&
(![X]:((humble(X)<~>old(X))<=>~brave(X)))&
(![X]:((calm(X)<~>~calm(X))<=>(generous(X)&~quiet(X))))&
(((humble(alice)|creative(alice)))=>(?[X]:((generous(X)... | generous(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2394659862463350418211245
% SZS output start Proof for 2394659862463350418211245
5. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> (~quiet(X0) & generous(X0))) [input p4]
22. ~generous(lucy) [input hypothesis]
44. ! [X0] : ((((calm(X0) | ~calm(X0)) & (~calm(X0) | calm(X0))) | (quiet(X0) | ~genero... | 0 |
Everyone who is not old or not curious is not humble and vice versa.
If susan is not brave or not generous then alice is both not tall and calm.
Everyone who is both patient and brave is patient or not humble and vice versa.
If someone is either happy or quiet then lucy is both not curious and not humble and vice versa... | Susan is generous. | entailment | (![X]:((~old(X)|~curious(X))<=>~humble(X)))&
(((~brave(susan)|~generous(susan)))=>((~tall(alice)&calm(alice))))&
(![X]:((patient(X)&brave(X))<=>(patient(X)|~humble(X))))&
((?[X]:((happy(X)<~>quiet(X))))<=>((~curious(lucy)&~humble(lucy))))&
(![X]:((kind(X)&~wise(X))<=>(generous(X)|~tall(X))))&
(![X]:(~funny(X)=>(~curiou... | generous(susan) | [
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9223296139732784784982597
% SZS output start Proof for 9223296139732784784982597
2. (~generous(susan) | ~brave(susan)) => (calm(alice) & ~tall(alice)) [input p1]
15. ! [X0] : (~calm(X0) <=> (calm(X0) | ~tall(X0))) [input p14]
23. ~generous(susan) [input hypothesis]
25. (calm(alice) & ~tal... | 0 |
Everyone who is both strong and not old is strong or quiet. If someone is either strong or not wise then mary is creative. Everyone who is both funny and strong is curious or not rich and vice versa. If alice is wise then someone is rich or not quiet. Everyone who is either kind or not old is either curious or not wise... | Mary is not curious. | entailment | (![X]:((strong(X)&~old(X))=>(strong(X)|quiet(X))))&
((?[X]:((strong(X)<~>~wise(X))))=>(creative(mary)))&
(![X]:((funny(X)&strong(X))<=>(curious(X)|~rich(X))))&
((wise(alice))=>(?[X]:((rich(X)|~quiet(X)))))&
(![X]:((kind(X)<~>~old(X))<=>(curious(X)<~>~wise(X))))&
(![X]:((~calm(X)|wise(X))<=>(quiet(X)<~>calm(X))))&
(![X]... | ~curious(mary) | [
"p1",
"p2",
"p4",
"p6",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 310516290102352243967163
% SZS output start Proof for 310516290102352243967163
2. ? [X0] : (strong(X0) <~> ~wise(X0)) => creative(mary) [input p1]
3. ! [X0] : ((strong(X0) & funny(X0)) <=> (~rich(X0) | curious(X0))) [input p2]
5. ! [X0] : ((kind(X0) <~> ~old(X0)) <=> (curious(X0) <~> ~wis... | 0 |
If john is both not kind and not brave then someone is happy.
Everyone who is generous is both not happy and not old and vice versa.
Everyone who is not brave or not kind is not creative or not curious.
If someone is both funny and not patient then john is both generous and strong.
If someone is creative then john is e... | Fred is wise. | neutral | (((~kind(john)&~brave(john)))=>(?[X]:(happy(X))))&
(![X]:(generous(X)<=>(~happy(X)&~old(X))))&
(![X]:((~brave(X)|~kind(X))=>(~creative(X)|~curious(X))))&
((?[X]:((funny(X)&~patient(X))))=>((generous(john)&strong(john))))&
((?[X]:(creative(X)))=>((tall(john)<~>~humble(john))))&
((?[X]:((~old(X)&curious(X))))<=>((~wise(f... | wise(fred) | [] | null | 0 |
If someone is wise then someone is tall or curious. If someone is not quiet or not brave then someone is happy and vice versa. Everyone who is either not wise or not creative is curious or not humble and vice versa. If someone is either generous or not happy then someone is kind. Everyone who is either curious or patie... | Susan is not curious. | entailment | ((?[X]:(wise(X)))=>(?[X]:((tall(X)|curious(X)))))&
((?[X]:((~quiet(X)|~brave(X))))<=>(?[X]:(happy(X))))&
(![X]:((~wise(X)<~>~creative(X))<=>(curious(X)|~humble(X))))&
((?[X]:((generous(X)<~>~happy(X))))=>(?[X]:(kind(X))))&
(![X]:((curious(X)<~>patient(X))<=>curious(X)))&
(![X]:(curious(X)=>~happy(X)))&
(![X]:((rich(X)<... | ~curious(susan) | [
"p3",
"p4",
"p5",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2356497288646654940297978
% SZS output start Proof for 2356497288646654940297978
4. ? [X0] : (generous(X0) <~> ~happy(X0)) => ? [X0] : kind(X0) [input p3]
5. ! [X0] : ((curious(X0) <~> patient(X0)) <=> curious(X0)) [input p4]
6. ! [X0] : (curious(X0) => ~happy(X0)) [input p5]
9. ! [X0] : ... | 0 |
If someone is both not kind and old then alice is not tall and vice versa. If someone is not funny or curious then john is not happy or not tall. Everyone who is funny or not calm is not kind or not calm. If someone is not brave then lucy is either kind or strong and vice versa. If someone is not rich or not calm then ... | Alice is strong. | entailment | ((?[X]:((~kind(X)&old(X))))<=>(~tall(alice)))&
((?[X]:((~funny(X)|curious(X))))=>((~happy(john)|~tall(john))))&
(![X]:((funny(X)|~calm(X))=>(~kind(X)|~calm(X))))&
((?[X]:(~brave(X)))<=>((kind(lucy)<~>strong(lucy))))&
((?[X]:((~rich(X)|~calm(X))))<=>((~creative(alice)&calm(alice))))&
(![X]:(~calm(X)<=>happy(X)))&
(((old... | strong(alice) | [
"p4",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7598297530853029293162540
% SZS output start Proof for 7598297530853029293162540
5. ? [X0] : (~calm(X0) | ~rich(X0)) <=> (calm(alice) & ~creative(alice)) [input p4]
14. ! [X0] : ((~rich(X0) | ~strong(X0)) <=> (~calm(X0) & ~rich(X0))) [input p13]
17. ~rich(paul) [input p16]
25. ~strong(ali... | 0 |
Everyone who is both not funny and not curious is not happy.
If someone is either humble or not curious then someone is not strong.
If mary is both not curious and old then someone is both not curious and humble and vice versa.
Everyone who is both not patient and not generous is both not wise and brave.
Everyone who i... | Alice is humble. | neutral | (![X]:((~funny(X)&~curious(X))=>~happy(X)))&
((?[X]:((humble(X)<~>~curious(X))))=>(?[X]:(~strong(X))))&
(((~curious(mary)&old(mary)))<=>(?[X]:((~curious(X)&humble(X)))))&
(![X]:((~patient(X)&~generous(X))=>(~wise(X)&brave(X))))&
(![X]:((tall(X)<~>funny(X))<=>(humble(X)&~wise(X))))&
(![X]:(wise(X)=>(calm(X)|~calm(X))))&... | humble(alice) | [] | null | 0 |
If someone is either not happy or not brave then someone is either not wise or humble and vice versa.
If someone is both not wise and not generous then fred is calm or not old.
If paul is creative or not brave then alice is either curious or not funny.
Everyone who is not humble or not tall is both not old and quiet an... | Susan is not generous. | neutral | ((?[X]:((~happy(X)<~>~brave(X))))<=>(?[X]:((~wise(X)<~>humble(X)))))&
((?[X]:((~wise(X)&~generous(X))))=>((calm(fred)|~old(fred))))&
(((creative(paul)|~brave(paul)))=>((curious(alice)<~>~funny(alice))))&
(![X]:((~humble(X)|~tall(X))<=>(~old(X)&quiet(X))))&
(![X]:(~brave(X)<=>(calm(X)<~>~curious(X))))&
((?[X]:((patient(... | ~generous(susan) | [] | null | 0 |
Everyone who is not patient is not creative or kind and vice versa.
Everyone who is not funny or not creative is curious and vice versa.
Everyone who is not rich or not happy is creative or not patient.
Everyone who is either not quiet or not calm is either not patient or calm and vice versa.
Everyone who is not happy ... | Susan is curious. | entailment | (![X]:(~patient(X)<=>(~creative(X)|kind(X))))&
(![X]:((~funny(X)|~creative(X))<=>curious(X)))&
(![X]:((~rich(X)|~happy(X))=>(creative(X)|~patient(X))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~patient(X)<~>calm(X))))&
(![X]:((~happy(X)|~curious(X))=>(~brave(X)&generous(X))))&
(![X]:((~creative(X)&~happy(X))<=>(~kind(X)&funny... | curious(susan) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1582693285288750167411905
% SZS output start Proof for 1582693285288750167411905
4. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~patient(X0) <~> calm(X0))) [input p3]
8. ? [X0] : ~curious(X0) => ? [X0] : (patient(X0) & quiet(X0)) [input p7]
25. ~curious(susan) [input hypothesis]
26. ? [X0] ... | 0 |
If alice is both patient and not brave then susan is kind or strong and vice versa.
Everyone who is either patient or not strong is not creative and vice versa.
If john is not creative then alice is both not patient and old.
If someone is both kind and not creative then someone is both old and quiet and vice versa.
If ... | John is not tall. | contradiction | (((patient(alice)&~brave(alice)))<=>((kind(susan)|strong(susan))))&
(![X]:((patient(X)<~>~strong(X))<=>~creative(X)))&
((~creative(john))=>((~patient(alice)&old(alice))))&
((?[X]:((kind(X)&~creative(X))))<=>(?[X]:((old(X)&quiet(X)))))&
((kind(fred))<=>((quiet(john)&~patient(john))))&
(((patient(alice)&~calm(alice)))=>(... | ~tall(john) | [
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7825868303022973276293903
% SZS output start Proof for 7825868303022973276293903
5. kind(fred) <=> (~patient(john) & quiet(john)) [input p4]
11. ! [X0] : ((tall(X0) & happy(X0)) <=> (~patient(X0) | strong(X0))) [input p10]
13. ! [X0] : ((rich(X0) <~> kind(X0)) <=> ~rich(X0)) [input p12]
2... | 0 |
If someone is not kind then fred is not generous or not brave and vice versa.
Everyone who is not strong is both not rich and not old and vice versa.
If someone is not generous or not quiet then someone is both not creative and not funny and vice versa.
Everyone who is not generous is both generous and not quiet and vi... | Lucy is not creative. | neutral | ((?[X]:(~kind(X)))<=>((~generous(fred)|~brave(fred))))&
(![X]:(~strong(X)<=>(~rich(X)&~old(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:((~creative(X)&~funny(X)))))&
(![X]:(~generous(X)<=>(generous(X)&~quiet(X))))&
(![X]:((kind(X)&humble(X))<=>~creative(X)))&
(((~curious(lucy)<~>~old(lucy)))=>((patient(fred)|~stro... | ~creative(lucy) | [] | null | 0 |
Everyone who is both not happy and not humble is either not creative or not rich.
If someone is not creative then someone is both wise and calm.
If someone is both not creative and not funny then john is old.
Everyone who is both not strong and not patient is both not kind and not funny.
Everyone who is not rich is not... | Fred is creative. | neutral | (![X]:((~happy(X)&~humble(X))=>(~creative(X)<~>~rich(X))))&
((?[X]:(~creative(X)))=>(?[X]:((wise(X)&calm(X)))))&
((?[X]:((~creative(X)&~funny(X))))=>(old(john)))&
(![X]:((~strong(X)&~patient(X))=>(~kind(X)&~funny(X))))&
(![X]:(~rich(X)=>(~kind(X)|strong(X))))&
((?[X]:(~happy(X)))=>((humble(fred)|creative(fred))))&
(![X... | creative(fred) | [] | null | 0 |
Everyone who is not humble or not creative is rich or wise and vice versa.
Everyone who is calm or not wise is both not patient and not calm and vice versa.
If paul is creative or brave then someone is not humble and vice versa.
Everyone who is both brave and tall is not rich.
Everyone who is either generous or not ric... | Paul is not creative. | entailment | (![X]:((~humble(X)|~creative(X))<=>(rich(X)|wise(X))))&
(![X]:((calm(X)|~wise(X))<=>(~patient(X)&~calm(X))))&
(((creative(paul)|brave(paul)))<=>(?[X]:(~humble(X))))&
(![X]:((brave(X)&tall(X))=>~rich(X)))&
(![X]:((generous(X)<~>~rich(X))<=>(~kind(X)&~humble(X))))&
((?[X]:((strong(X)&~old(X))))<=>(quiet(john)))&
(![X]:((... | ~creative(paul) | [
"p0",
"p8",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3277763485702719713211008
% SZS output start Proof for 3277763485702719713211008
1. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (wise(X0) | rich(X0))) [input p0]
9. ! [X0] : ((~old(X0) | happy(X0)) => (~funny(X0) & ~happy(X0))) [input p8]
10. ! [X0] : (~wise(X0) => generous(X0)) [input p9... | 0 |
Everyone who is not calm is patient.
Everyone who is brave is not tall or not humble and vice versa.
If someone is not happy or happy then lucy is quiet and vice versa.
Everyone who is both not patient and not strong is both not quiet and strong and vice versa.
Everyone who is both not funny and not calm is not kind or... | Lucy is creative. | neutral | (![X]:(~calm(X)=>patient(X)))&
(![X]:(brave(X)<=>(~tall(X)|~humble(X))))&
((?[X]:((~happy(X)|happy(X))))<=>(quiet(lucy)))&
(![X]:((~patient(X)&~strong(X))<=>(~quiet(X)&strong(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~kind(X)|~generous(X))))&
((?[X]:((~brave(X)<~>~humble(X))))=>((~creative(paul)&generous(paul))))&
(![X]:((... | creative(lucy) | [] | null | 0 |
Everyone who is either calm or not old is both brave and not tall and vice versa. If someone is both not old and not quiet then paul is not kind. Everyone who is not tall or not quiet is either not strong or not old. Everyone who is both happy and not creative is not brave or brave and vice versa. Everyone who is not q... | John is not creative. | entailment | (![X]:((calm(X)<~>~old(X))<=>(brave(X)&~tall(X))))&
((?[X]:((~old(X)&~quiet(X))))=>(~kind(paul)))&
(![X]:((~tall(X)|~quiet(X))=>(~strong(X)<~>~old(X))))&
(![X]:((happy(X)&~creative(X))<=>(~brave(X)|brave(X))))&
(![X]:(~quiet(X)<=>(~funny(X)|creative(X))))&
((?[X]:((curious(X)<~>~kind(X))))=>(~generous(john)))&
(![X]:((... | ~creative(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 373143218358103114193310
% SZS output start Proof for 373143218358103114193310
4. ! [X0] : ((~creative(X0) & happy(X0)) <=> (brave(X0) | ~brave(X0))) [input p3]
23. creative(john) [input hypothesis]
43. ! [X0] : (((~creative(X0) & happy(X0)) | (~brave(X0) & brave(X0))) & ((brave(X0) | ~br... | 0 |
If someone is either not curious or quiet then john is creative or tall and vice versa.
Everyone who is either calm or not humble is wise and vice versa.
If someone is not tall then someone is not happy and vice versa.
Everyone who is happy or not tall is rich or not quiet and vice versa.
Everyone who is either not old... | Lucy is not generous. | neutral | ((?[X]:((~curious(X)<~>quiet(X))))<=>((creative(john)|tall(john))))&
(![X]:((calm(X)<~>~humble(X))<=>wise(X)))&
((?[X]:(~tall(X)))<=>(?[X]:(~happy(X))))&
(![X]:((happy(X)|~tall(X))<=>(rich(X)|~quiet(X))))&
(![X]:((~old(X)<~>~wise(X))<=>~calm(X)))&
((?[X]:(happy(X)))<=>((~creative(john)&humble(john))))&
(![X]:((~old(X)<... | ~generous(lucy) | [] | null | 0 |
Everyone who is not funny or not quiet is strong or not generous and vice versa. Everyone who is either not happy or not creative is either strong or brave. If fred is either not humble or curious then susan is not curious or not creative and vice versa. Everyone who is either not generous or humble is not tall or not ... | John is not wise. | neutral | (![X]:((~funny(X)|~quiet(X))<=>(strong(X)|~generous(X))))&
(![X]:((~happy(X)<~>~creative(X))=>(strong(X)<~>brave(X))))&
(((~humble(fred)<~>curious(fred)))<=>((~curious(susan)|~creative(susan))))&
(![X]:((~generous(X)<~>humble(X))=>(~tall(X)|~humble(X))))&
(((~creative(mary)&~old(mary)))<=>(patient(john)))&
(![X]:(brave... | ~wise(john) | [] | null | 0 |
Everyone who is both not kind and not old is either not creative or calm.
If alice is both not happy and strong then someone is both not funny and generous and vice versa.
If mary is either not quiet or patient then someone is either strong or tall.
Everyone who is patient is either not happy or not strong.
If mary is ... | Alice is brave. | entailment | (![X]:((~kind(X)&~old(X))=>(~creative(X)<~>calm(X))))&
(((~happy(alice)&strong(alice)))<=>(?[X]:((~funny(X)&generous(X)))))&
(((~quiet(mary)<~>patient(mary)))=>(?[X]:((strong(X)<~>tall(X)))))&
(![X]:(patient(X)=>(~happy(X)<~>~strong(X))))&
(((creative(mary)|~kind(mary)))=>((calm(lucy)|strong(lucy))))&
(![X]:((strong(X)... | brave(alice) | [
"p7",
"p10",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3484720706807128922756655
% SZS output start Proof for 3484720706807128922756655
8. ! [X0] : ((tall(X0) & quiet(X0)) <=> generous(X0)) [input p7]
11. ! [X0] : ((funny(X0) & ~curious(X0)) <=> (tall(X0) <~> ~curious(X0))) [input p10]
14. ! [X0] : ((humble(X0) <~> ~funny(X0)) => (quiet(X0) <... | 0 |
If lucy is not funny then someone is both not kind and quiet and vice versa.
Everyone who is either funny or not rich is not tall or quiet.
If alice is both not humble and not curious then someone is either not tall or not happy and vice versa.
If mary is strong or brave then someone is not brave.
Everyone who is gener... | John is tall. | entailment | ((~funny(lucy))<=>(?[X]:((~kind(X)&quiet(X)))))&
(![X]:((funny(X)<~>~rich(X))=>(~tall(X)|quiet(X))))&
(((~humble(alice)&~curious(alice)))<=>(?[X]:((~tall(X)<~>~happy(X)))))&
(((strong(mary)|brave(mary)))=>(?[X]:(~brave(X))))&
(![X]:(generous(X)<=>(happy(X)<~>~quiet(X))))&
((?[X]:((generous(X)&strong(X))))=>(~patient(al... | tall(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7275250958128762020685393
% SZS output start Proof for 7275250958128762020685393
11. ! [X0] : ((~tall(X0) | ~rich(X0)) => (tall(X0) & ~patient(X0))) [input p10]
25. ~tall(john) [input hypothesis]
34. ! [X0] : ((tall(X0) & ~patient(X0)) | (tall(X0) & rich(X0))) [ennf transformation 11]
106... | 0 |
If fred is not wise then someone is creative.
Everyone who is humble or strong is happy.
Everyone who is either humble or old is either kind or strong and vice versa.
If john is both tall and happy then someone is happy and vice versa.
If someone is either generous or not rich then someone is kind or calm.
Everyone who... | John is not tall. | contradiction | ((~wise(fred))=>(?[X]:(creative(X))))&
(![X]:((humble(X)|strong(X))=>happy(X)))&
(![X]:((humble(X)<~>old(X))<=>(kind(X)<~>strong(X))))&
(((tall(john)&happy(john)))<=>(?[X]:(happy(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>(?[X]:((kind(X)|calm(X)))))&
(![X]:((~wise(X)&old(X))=>(tall(X)<~>~calm(X))))&
((?[X]:((creative(X... | ~tall(john) | [
"p1",
"p3",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3068062732122863107304989
% SZS output start Proof for 3068062732122863107304989
2. ! [X0] : ((strong(X0) | humble(X0)) => happy(X0)) [input p1]
4. (happy(john) & tall(john)) <=> ? [X0] : happy(X0) [input p3]
21. ? [X0] : (humble(X0) & patient(X0)) [input p20]
25. ~tall(john) [input hypot... | 0 |
If mary is both not old and not happy then someone is either not rich or not creative. Everyone who is not old or patient is not funny. If someone is both funny and brave then someone is not generous. If someone is either not strong or not quiet then lucy is humble or not tall and vice versa. If someone is quiet then s... | John is generous. | contradiction | (((~old(mary)&~happy(mary)))=>(?[X]:((~rich(X)<~>~creative(X)))))&
(![X]:((~old(X)|patient(X))=>~funny(X)))&
((?[X]:((funny(X)&brave(X))))=>(?[X]:(~generous(X))))&
((?[X]:((~strong(X)<~>~quiet(X))))<=>((humble(lucy)|~tall(lucy))))&
((?[X]:(quiet(X)))=>(?[X]:(~rich(X))))&
(![X]:(curious(X)<=>(tall(X)|~rich(X))))&
((?[X]... | generous(john) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8088516584352870720199088
% SZS output start Proof for 8088516584352870720199088
23. wise(john) & ~generous(john) [input p22]
25. generous(john) [input hypothesis]
32. ~generous(john) [pure predicate removal 23]
136. ~generous(john) [cnf transformation 32]
138. generous(john) [cnf transfo... | 0 |
If fred is either not calm or happy then fred is not old or wise and vice versa.
Everyone who is both happy and not generous is either creative or not tall and vice versa.
Everyone who is generous is both quiet and curious and vice versa.
If someone is either funny or not tall then mary is not humble or not kind.
If lu... | Mary is not brave. | neutral | (((~calm(fred)<~>happy(fred)))<=>((~old(fred)|wise(fred))))&
(![X]:((happy(X)&~generous(X))<=>(creative(X)<~>~tall(X))))&
(![X]:(generous(X)<=>(quiet(X)&curious(X))))&
((?[X]:((funny(X)<~>~tall(X))))=>((~humble(mary)|~kind(mary))))&
(((calm(lucy)<~>~kind(lucy)))=>((~curious(alice)|brave(alice))))&
(![X]:((generous(X)&t... | ~brave(mary) | [] | null | 0 |
Everyone who is both happy and not quiet is either quiet or not creative and vice versa.
If someone is either generous or not old then mary is not humble or curious.
Everyone who is rich or not quiet is kind or creative.
Everyone who is not curious or creative is wise.
If someone is both strong and not happy then someo... | Mary is brave. | contradiction | (![X]:((happy(X)&~quiet(X))<=>(quiet(X)<~>~creative(X))))&
((?[X]:((generous(X)<~>~old(X))))=>((~humble(mary)|curious(mary))))&
(![X]:((rich(X)|~quiet(X))=>(kind(X)|creative(X))))&
(![X]:((~curious(X)|creative(X))=>wise(X)))&
((?[X]:((strong(X)&~happy(X))))<=>(?[X]:((quiet(X)<~>~humble(X)))))&
(((~curious(mary)<~>~wise... | brave(mary) | [
"p3",
"p6",
"p8",
"p9",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8818951027837718055123634
% SZS output start Proof for 8818951027837718055123634
4. ! [X0] : ((creative(X0) | ~curious(X0)) => wise(X0)) [input p3]
7. ! [X0] : (~patient(X0) <=> (tall(X0) <~> brave(X0))) [input p6]
9. ! [X0] : (calm(X0) => (kind(X0) & strong(X0))) [input p8]
10. ! [X0] : ... | 0 |
Everyone who is both calm and old is both not wise and curious.
Everyone who is not wise is rich or kind.
Everyone who is not wise or not rich is old or not funny and vice versa.
If someone is both not quiet and wise then someone is not rich.
Everyone who is both not generous and not happy is both not happy and tall an... | Lucy is not humble. | contradiction | (![X]:((calm(X)&old(X))=>(~wise(X)&curious(X))))&
(![X]:(~wise(X)=>(rich(X)|kind(X))))&
(![X]:((~wise(X)|~rich(X))<=>(old(X)|~funny(X))))&
((?[X]:((~quiet(X)&wise(X))))=>(?[X]:(~rich(X))))&
(![X]:((~generous(X)&~happy(X))<=>(~happy(X)&tall(X))))&
(![X]:(~happy(X)<=>(~curious(X)|~happy(X))))&
((~wise(fred))<=>((~humble(... | ~humble(lucy) | [
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2595443206882720577466846
% SZS output start Proof for 2595443206882720577466846
8. ! [X0] : ((~humble(X0) | rich(X0)) => strong(X0)) [input p7]
12. ! [X0] : ((strong(X0) | patient(X0)) <=> (~strong(X0) & tall(X0))) [input p11]
21. ~humble(lucy) [input hypothesis]
28. ! [X0] : (strong(X0)... | 0 |
Everyone who is both rich and not curious is both not brave and happy. Everyone who is curious is both not happy and tall. Everyone who is generous is both generous and brave. If mary is humble or not quiet then alice is either old or not humble. Everyone who is not wise is both not rich and not humble. Everyone who is... | Susan is not generous. | entailment | (![X]:((rich(X)&~curious(X))=>(~brave(X)&happy(X))))&
(![X]:(curious(X)=>(~happy(X)&tall(X))))&
(![X]:(generous(X)=>(generous(X)&brave(X))))&
(((humble(mary)|~quiet(mary)))=>((old(alice)<~>~humble(alice))))&
(![X]:(~wise(X)=>(~rich(X)&~humble(X))))&
(![X]:(~creative(X)<=>(brave(X)&patient(X))))&
(![X]:((generous(X)&hap... | ~generous(susan) | [
"p6",
"p8",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7517290927000174920670331
% SZS output start Proof for 7517290927000174920670331
7. ! [X0] : ((happy(X0) & generous(X0)) => (kind(X0) & ~happy(X0))) [input p6]
9. ! [X0] : ((strong(X0) | rich(X0)) => happy(X0)) [input p8]
15. (curious(alice) & strong(alice)) <=> (~rich(susan) | calm(susan... | 0 |
Everyone who is patient or not kind is patient.
If someone is either patient or not happy then someone is both not wise and humble and vice versa.
Everyone who is brave or strong is funny.
If someone is both creative and humble then someone is both generous and not generous.
If someone is brave or not funny then paul i... | Alice is strong. | contradiction | (![X]:((patient(X)|~kind(X))=>patient(X)))&
((?[X]:((patient(X)<~>~happy(X))))<=>(?[X]:((~wise(X)&humble(X)))))&
(![X]:((brave(X)|strong(X))=>funny(X)))&
((?[X]:((creative(X)&humble(X))))=>(?[X]:((generous(X)&~generous(X)))))&
((?[X]:((brave(X)|~funny(X))))=>((tall(paul)&~rich(paul))))&
((?[X]:((~curious(X)&~brave(X)))... | strong(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7209381632483943061863565
% SZS output start Proof for 7209381632483943061863565
8. ! [X0] : (~strong(X0) <=> (wise(X0) <~> ~wise(X0))) [input p7]
24. strong(alice) [input hypothesis]
52. ! [X0] : ((~strong(X0) | ((wise(X0) | wise(X0)) & (~wise(X0) | ~wise(X0)))) & (((wise(X0) | ~wise(X0)... | 0 |
Everyone who is either not kind or not old is strong.
Everyone who is both not generous and brave is both not happy and happy.
Everyone who is creative or not old is both not generous and rich and vice versa.
If fred is humble then lucy is either curious or generous and vice versa.
If someone is either curious or not s... | Susan is not brave. | entailment | (![X]:((~kind(X)<~>~old(X))=>strong(X)))&
(![X]:((~generous(X)&brave(X))=>(~happy(X)&happy(X))))&
(![X]:((creative(X)|~old(X))<=>(~generous(X)&rich(X))))&
((humble(fred))<=>((curious(lucy)<~>generous(lucy))))&
((?[X]:((curious(X)<~>~strong(X))))=>(?[X]:((strong(X)<~>~curious(X)))))&
(![X]:((brave(X)|wise(X))=>(humble(X... | ~brave(susan) | [
"p2",
"p5",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8437245020920599103322608
% SZS output start Proof for 8437245020920599103322608
3. ! [X0] : ((~old(X0) | creative(X0)) <=> (rich(X0) & ~generous(X0))) [input p2]
6. ! [X0] : ((wise(X0) | brave(X0)) => (patient(X0) & humble(X0))) [input p5]
7. ! [X0] : ((kind(X0) | rich(X0)) <=> old(X0)) ... | 0 |
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