premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not humble and not curious is strong or not wise.
Everyone who is either happy or not humble is not funny and vice versa.
If someone is not funny or humble then alice is quiet.
If mary is not funny then mary is not humble.
Everyone who is not calm is strong or wise.
If john is both not wise and wis... | Mary is kind. | neutral | (![X]:((~humble(X)&~curious(X))=>(strong(X)|~wise(X))))&
(![X]:((happy(X)<~>~humble(X))<=>~funny(X)))&
((?[X]:((~funny(X)|humble(X))))=>(quiet(alice)))&
((~funny(mary))=>(~humble(mary)))&
(![X]:(~calm(X)=>(strong(X)|wise(X))))&
(((~wise(john)&wise(john)))=>(~happy(alice)))&
(![X]:((~rich(X)<~>calm(X))=>quiet(X)))&
(![X... | kind(mary) | [] | null | 0 |
If someone is both not strong and strong then someone is both calm and not brave and vice versa.
If mary is either not tall or not funny then mary is both happy and not humble.
Everyone who is calm or not tall is both rich and not old.
If someone is patient or generous then lucy is both generous and not funny.
If paul ... | Mary is tall. | entailment | ((?[X]:((~strong(X)&strong(X))))<=>(?[X]:((calm(X)&~brave(X)))))&
(((~tall(mary)<~>~funny(mary)))=>((happy(mary)&~humble(mary))))&
(![X]:((calm(X)|~tall(X))=>(rich(X)&~old(X))))&
((?[X]:((patient(X)|generous(X))))=>((generous(lucy)&~funny(lucy))))&
(((~calm(paul)&~patient(paul)))<=>(?[X]:((strong(X)<~>curious(X)))))&
(... | tall(mary) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 915064007908264410917016
% SZS output start Proof for 915064007908264410917016
2. (~tall(mary) <~> ~funny(mary)) => (~humble(mary) & happy(mary)) [input p1]
3. ! [X0] : ((~tall(X0) | calm(X0)) => (~old(X0) & rich(X0))) [input p2]
5. (~patient(paul) & ~calm(paul)) <=> ? [X0] : (strong(X0) ... | 0 |
If lucy is both not rich and quiet then someone is either not creative or not strong. Everyone who is curious is not kind. If someone is strong then john is either wise or not patient and vice versa. If fred is both not curious and rich then mary is either not patient or quiet. Everyone who is not quiet is either not h... | John is strong. | neutral | (((~rich(lucy)&quiet(lucy)))=>(?[X]:((~creative(X)<~>~strong(X)))))&
(![X]:(curious(X)=>~kind(X)))&
((?[X]:(strong(X)))<=>((wise(john)<~>~patient(john))))&
(((~curious(fred)&rich(fred)))=>((~patient(mary)<~>quiet(mary))))&
(![X]:(~quiet(X)<=>(~humble(X)<~>~strong(X))))&
(![X]:((creative(X)&rich(X))<=>(~patient(X)<~>cre... | strong(john) | [] | null | 0 |
If someone is both quiet and not curious then fred is both calm and humble.
If alice is either brave or not generous then alice is both humble and not humble and vice versa.
Everyone who is calm is both not wise and humble.
Everyone who is both not funny and strong is wise or quiet and vice versa.
If paul is brave or n... | Lucy is not curious. | neutral | ((?[X]:((quiet(X)&~curious(X))))=>((calm(fred)&humble(fred))))&
(((brave(alice)<~>~generous(alice)))<=>((humble(alice)&~humble(alice))))&
(![X]:(calm(X)=>(~wise(X)&humble(X))))&
(![X]:((~funny(X)&strong(X))<=>(wise(X)|quiet(X))))&
(((brave(paul)|~tall(paul)))=>(?[X]:((brave(X)|happy(X)))))&
(![X]:(~curious(X)<=>patient... | ~curious(lucy) | [] | null | 0 |
If someone is both not humble and not kind then fred is old and vice versa.
If alice is kind or not strong then paul is both old and not creative and vice versa.
If someone is wise then someone is both not kind and not quiet and vice versa.
If someone is not patient then alice is not generous and vice versa.
Everyone w... | Alice is not funny. | neutral | ((?[X]:((~humble(X)&~kind(X))))<=>(old(fred)))&
(((kind(alice)|~strong(alice)))<=>((old(paul)&~creative(paul))))&
((?[X]:(wise(X)))<=>(?[X]:((~kind(X)&~quiet(X)))))&
((?[X]:(~patient(X)))<=>(~generous(alice)))&
(![X]:((~patient(X)|rich(X))=>(~rich(X)&~old(X))))&
(![X]:(patient(X)=>(patient(X)<~>kind(X))))&
(![X]:((crea... | ~funny(alice) | [] | null | 0 |
Everyone who is either not strong or not patient is not calm or not quiet and vice versa.
If paul is both strong and generous then someone is patient and vice versa.
Everyone who is creative is either not rich or tall and vice versa.
If someone is wise or calm then fred is old or not tall.
If someone is creative or not... | Paul is strong. | entailment | (![X]:((~strong(X)<~>~patient(X))<=>(~calm(X)|~quiet(X))))&
(((strong(paul)&generous(paul)))<=>(?[X]:(patient(X))))&
(![X]:(creative(X)<=>(~rich(X)<~>tall(X))))&
((?[X]:((wise(X)|calm(X))))=>((old(fred)|~tall(fred))))&
((?[X]:((creative(X)|~quiet(X))))=>(?[X]:((quiet(X)&rich(X)))))&
(((curious(paul)&generous(paul)))=>(... | strong(paul) | [
"p1",
"p2",
"p8",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2876456247250556942273982
% SZS output start Proof for 2876456247250556942273982
2. (generous(paul) & strong(paul)) <=> ? [X0] : patient(X0) [input p1]
3. ! [X0] : (creative(X0) <=> (~rich(X0) <~> tall(X0))) [input p2]
9. ! [X0] : (creative(X0) => (~creative(X0) & humble(X0))) [input p8]
... | 0 |
Everyone who is kind is not wise or tall.
If someone is both not funny and not patient then someone is brave.
Everyone who is either curious or kind is not curious.
Everyone who is creative or old is not calm and vice versa.
Everyone who is not creative is not tall or funny and vice versa.
Everyone who is either not hu... | Paul is not creative. | neutral | (![X]:(kind(X)=>(~wise(X)|tall(X))))&
((?[X]:((~funny(X)&~patient(X))))=>(?[X]:(brave(X))))&
(![X]:((curious(X)<~>kind(X))=>~curious(X)))&
(![X]:((creative(X)|old(X))<=>~calm(X)))&
(![X]:(~creative(X)<=>(~tall(X)|funny(X))))&
(![X]:((~humble(X)<~>~kind(X))=>~patient(X)))&
((?[X]:(~happy(X)))=>((~happy(mary)|~wise(mary)... | ~creative(paul) | [] | null | 0 |
If someone is both curious and not happy then someone is tall or brave and vice versa.
If someone is both quiet and generous then paul is calm or not kind and vice versa.
If alice is not patient or not kind then lucy is not strong.
If mary is rich or old then someone is creative or not humble.
Everyone who is both calm... | Susan is wise. | contradiction | ((?[X]:((curious(X)&~happy(X))))<=>(?[X]:((tall(X)|brave(X)))))&
((?[X]:((quiet(X)&generous(X))))<=>((calm(paul)|~kind(paul))))&
(((~patient(alice)|~kind(alice)))=>(~strong(lucy)))&
(((rich(mary)|old(mary)))=>(?[X]:((creative(X)|~humble(X)))))&
(![X]:((calm(X)&kind(X))=>quiet(X)))&
((brave(fred))<=>(?[X]:((strong(X)&~c... | wise(susan) | [
"p0",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6184532631673993064811625
% SZS output start Proof for 6184532631673993064811625
1. ? [X0] : (~happy(X0) & curious(X0)) <=> ? [X0] : (brave(X0) | tall(X0)) [input p0]
13. ! [X0] : ((~calm(X0) | ~quiet(X0)) => ~curious(X0)) [input p12]
14. ! [X0] : ((~wise(X0) & happy(X0)) <=> calm(X0)) [i... | 0 |
Everyone who is not funny or not brave is either calm or not funny and vice versa.
If someone is kind then someone is both funny and patient and vice versa.
If someone is funny or happy then alice is tall or wise and vice versa.
If paul is either not tall or patient then mary is both not kind and wise and vice versa.
E... | Susan is not happy. | neutral | (![X]:((~funny(X)|~brave(X))<=>(calm(X)<~>~funny(X))))&
((?[X]:(kind(X)))<=>(?[X]:((funny(X)&patient(X)))))&
((?[X]:((funny(X)|happy(X))))<=>((tall(alice)|wise(alice))))&
(((~tall(paul)<~>patient(paul)))<=>((~kind(mary)&wise(mary))))&
(![X]:(~brave(X)=>(~kind(X)&~creative(X))))&
(![X]:(generous(X)=>(~happy(X)&~generous... | ~happy(susan) | [] | null | 0 |
Everyone who is either strong or happy is both patient and curious.
Everyone who is either generous or not strong is not strong and vice versa.
Everyone who is both brave and funny is either not kind or not happy.
If someone is not happy or not brave then mary is both not patient and funny and vice versa.
If john is bo... | Paul is not old. | contradiction | (![X]:((strong(X)<~>happy(X))=>(patient(X)&curious(X))))&
(![X]:((generous(X)<~>~strong(X))<=>~strong(X)))&
(![X]:((brave(X)&funny(X))=>(~kind(X)<~>~happy(X))))&
((?[X]:((~happy(X)|~brave(X))))<=>((~patient(mary)&funny(mary))))&
(((kind(john)&rich(john)))<=>((creative(alice)|~tall(alice))))&
(![X]:(humble(X)<=>(kind(X)... | ~old(paul) | [
"p1",
"p7",
"p10",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2932134146681439979163170
% SZS output start Proof for 2932134146681439979163170
2. ! [X0] : ((generous(X0) <~> ~strong(X0)) <=> ~strong(X0)) [input p1]
8. ! [X0] : ((~strong(X0) <~> humble(X0)) <=> (tall(X0) <~> ~wise(X0))) [input p7]
11. ! [X0] : ((curious(X0) <~> ~old(X0)) <=> (curious... | 0 |
Everyone who is both not brave and not creative is either not old or not humble.
If paul is both wise and not brave then mary is calm and vice versa.
If paul is not happy then someone is not wise or not patient.
Everyone who is both not humble and not old is both not patient and not quiet and vice versa.
If paul is eit... | Susan is not creative. | neutral | (![X]:((~brave(X)&~creative(X))=>(~old(X)<~>~humble(X))))&
(((wise(paul)&~brave(paul)))<=>(calm(mary)))&
((~happy(paul))=>(?[X]:((~wise(X)|~patient(X)))))&
(![X]:((~humble(X)&~old(X))<=>(~patient(X)&~quiet(X))))&
(((old(paul)<~>~wise(paul)))=>(?[X]:(~patient(X))))&
(![X]:((~calm(X)&~curious(X))<=>~rich(X)))&
(![X]:((cr... | ~creative(susan) | [] | null | 0 |
Everyone who is not quiet or not tall is both not quiet and old and vice versa.
Everyone who is not brave or not humble is not funny.
Everyone who is not generous is not old or wise.
Everyone who is tall is curious or not patient.
Everyone who is both quiet and tall is both wise and calm and vice versa.
Everyone who is... | Paul is curious. | neutral | (![X]:((~quiet(X)|~tall(X))<=>(~quiet(X)&old(X))))&
(![X]:((~brave(X)|~humble(X))=>~funny(X)))&
(![X]:(~generous(X)=>(~old(X)|wise(X))))&
(![X]:(tall(X)=>(curious(X)|~patient(X))))&
(![X]:((quiet(X)&tall(X))<=>(wise(X)&calm(X))))&
(![X]:((~wise(X)&~kind(X))=>~calm(X)))&
((?[X]:((patient(X)&happy(X))))<=>((curious(paul)... | curious(paul) | [] | null | 0 |
Everyone who is both wise and not patient is not kind or not brave and vice versa.
If someone is both generous and creative then fred is either not old or not funny.
Everyone who is patient is either strong or generous.
Everyone who is both curious and patient is both wise and patient and vice versa.
Everyone who is br... | Susan is not patient. | entailment | (![X]:((wise(X)&~patient(X))<=>(~kind(X)|~brave(X))))&
((?[X]:((generous(X)&creative(X))))=>((~old(fred)<~>~funny(fred))))&
(![X]:(patient(X)=>(strong(X)<~>generous(X))))&
(![X]:((curious(X)&patient(X))<=>(wise(X)&patient(X))))&
(![X]:(brave(X)=>(old(X)<~>~generous(X))))&
((?[X]:(brave(X)))<=>((generous(susan)&~wise(su... | ~patient(susan) | [
"p0",
"p3",
"p4",
"p5",
"p12",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3450333193935861830558493
% SZS output start Proof for 3450333193935861830558493
1. ! [X0] : ((~patient(X0) & wise(X0)) <=> (~brave(X0) | ~kind(X0))) [input p0]
4. ! [X0] : ((patient(X0) & curious(X0)) <=> (patient(X0) & wise(X0))) [input p3]
5. ! [X0] : (brave(X0) => (old(X0) <~> ~genero... | 0 |
Everyone who is both wise and not calm is quiet. Everyone who is not patient or not generous is happy or humble. If someone is brave or humble then mary is not generous. Everyone who is funny is not quiet and vice versa. If lucy is generous then someone is either not old or tall and vice versa. If paul is kind or stron... | Mary is generous. | contradiction | (![X]:((wise(X)&~calm(X))=>quiet(X)))&
(![X]:((~patient(X)|~generous(X))=>(happy(X)|humble(X))))&
((?[X]:((brave(X)|humble(X))))=>(~generous(mary)))&
(![X]:(funny(X)<=>~quiet(X)))&
((generous(lucy))<=>(?[X]:((~old(X)<~>tall(X)))))&
(((kind(paul)|strong(paul)))<=>((~creative(lucy)<~>funny(lucy))))&
(((~funny(john)<~>str... | generous(mary) | [
"p2",
"p3",
"p8",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8345299666477597627546127
% SZS output start Proof for 8345299666477597627546127
3. ? [X0] : (humble(X0) | brave(X0)) => ~generous(mary) [input p2]
4. ! [X0] : (funny(X0) <=> ~quiet(X0)) [input p3]
9. ! [X0] : ((~curious(X0) | ~quiet(X0)) => (tall(X0) & ~strong(X0))) [input p8]
12. ! [X0]... | 0 |
If susan is not strong then someone is both generous and not happy.
Everyone who is humble is either humble or strong.
If lucy is either creative or old then alice is not curious.
Everyone who is both creative and not brave is not curious or quiet and vice versa.
Everyone who is both not kind and not strong is either n... | John is patient. | neutral | ((~strong(susan))=>(?[X]:((generous(X)&~happy(X)))))&
(![X]:(humble(X)=>(humble(X)<~>strong(X))))&
(((creative(lucy)<~>old(lucy)))=>(~curious(alice)))&
(![X]:((creative(X)&~brave(X))<=>(~curious(X)|quiet(X))))&
(![X]:((~kind(X)&~strong(X))<=>(~patient(X)<~>old(X))))&
(![X]:((creative(X)|patient(X))<=>~brave(X)))&
(![X]... | patient(john) | [] | null | 0 |
If someone is not brave or patient then alice is happy or not calm and vice versa.
If mary is not kind then susan is either not rich or generous and vice versa.
If mary is not calm then paul is not quiet or not tall.
Everyone who is kind is both strong and not humble and vice versa.
Everyone who is either not brave or ... | Paul is generous. | neutral | ((?[X]:((~brave(X)|patient(X))))<=>((happy(alice)|~calm(alice))))&
((~kind(mary))<=>((~rich(susan)<~>generous(susan))))&
((~calm(mary))=>((~quiet(paul)|~tall(paul))))&
(![X]:(kind(X)<=>(strong(X)&~humble(X))))&
(![X]:((~brave(X)<~>brave(X))=>(~old(X)|generous(X))))&
(![X]:((old(X)|~calm(X))=>(patient(X)&curious(X))))&
... | generous(paul) | [] | null | 0 |
Everyone who is generous or wise is not patient or not calm and vice versa.
Everyone who is either creative or quiet is quiet or not brave.
If someone is either patient or wise then someone is not rich or not tall.
If alice is either patient or not quiet then someone is either not brave or tall.
If someone is creative ... | John is not quiet. | neutral | (![X]:((generous(X)|wise(X))<=>(~patient(X)|~calm(X))))&
(![X]:((creative(X)<~>quiet(X))=>(quiet(X)|~brave(X))))&
((?[X]:((patient(X)<~>wise(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(((patient(alice)<~>~quiet(alice)))=>(?[X]:((~brave(X)<~>tall(X)))))&
((?[X]:(creative(X)))<=>((~calm(lucy)&quiet(lucy))))&
(![X]:((quiet(X)&... | ~quiet(john) | [] | null | 0 |
Everyone who is both humble and brave is not patient or old and vice versa.
If someone is both tall and generous then someone is either humble or not funny and vice versa.
If mary is both funny and not patient then mary is both patient and not brave.
If someone is patient then alice is both not brave and kind and vice ... | Alice is generous. | neutral | (![X]:((humble(X)&brave(X))<=>(~patient(X)|old(X))))&
((?[X]:((tall(X)&generous(X))))<=>(?[X]:((humble(X)<~>~funny(X)))))&
(((funny(mary)&~patient(mary)))=>((patient(mary)&~brave(mary))))&
((?[X]:(patient(X)))<=>((~brave(alice)&kind(alice))))&
((~generous(susan))=>(?[X]:((~calm(X)<~>strong(X)))))&
(![X]:(~kind(X)<=>(~b... | generous(alice) | [] | null | 0 |
Everyone who is not patient or wise is both old and not rich. Everyone who is not humble or quiet is not humble. Everyone who is not kind is both old and funny and vice versa. If susan is not tall or tall then someone is funny or kind. If someone is rich or not wise then john is not funny or not humble and vice versa. ... | Alice is curious. | neutral | (![X]:((~patient(X)|wise(X))=>(old(X)&~rich(X))))&
(![X]:((~humble(X)|quiet(X))=>~humble(X)))&
(![X]:(~kind(X)<=>(old(X)&funny(X))))&
(((~tall(susan)|tall(susan)))=>(?[X]:((funny(X)|kind(X)))))&
((?[X]:((rich(X)|~wise(X))))<=>((~funny(john)|~humble(john))))&
(![X]:((calm(X)&~creative(X))<=>(~funny(X)<~>~strong(X))))&
(... | curious(alice) | [] | null | 0 |
If alice is strong or curious then fred is not creative and vice versa.
Everyone who is either kind or not patient is funny and vice versa.
If someone is either calm or old then paul is rich or brave and vice versa.
Everyone who is either not brave or happy is both brave and kind and vice versa.
Everyone who is both no... | Fred is curious. | neutral | (((strong(alice)|curious(alice)))<=>(~creative(fred)))&
(![X]:((kind(X)<~>~patient(X))<=>funny(X)))&
((?[X]:((calm(X)<~>old(X))))<=>((rich(paul)|brave(paul))))&
(![X]:((~brave(X)<~>happy(X))<=>(brave(X)&kind(X))))&
(![X]:((~generous(X)&funny(X))<=>(calm(X)|patient(X))))&
(((quiet(lucy)|~rich(lucy)))=>(happy(susan)))&
(... | curious(fred) | [] | null | 0 |
If someone is both generous and patient then susan is both not curious and brave and vice versa.
Everyone who is either calm or not generous is not brave or not creative and vice versa.
Everyone who is humble or old is both not kind and strong.
If john is not old or creative then fred is either old or not old.
Everyone... | Lucy is not old. | contradiction | ((?[X]:((generous(X)&patient(X))))<=>((~curious(susan)&brave(susan))))&
(![X]:((calm(X)<~>~generous(X))<=>(~brave(X)|~creative(X))))&
(![X]:((humble(X)|old(X))=>(~kind(X)&strong(X))))&
(((~old(john)|creative(john)))=>((old(fred)<~>~old(fred))))&
(![X]:((tall(X)<~>~curious(X))<=>(~funny(X)&~strong(X))))&
((?[X]:((~happy... | ~old(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5570647985656883147108730
% SZS output start Proof for 5570647985656883147108730
10. ! [X0] : ((~kind(X0) <~> ~old(X0)) <=> ~kind(X0)) [input p9]
24. ~old(lucy) [input hypothesis]
60. ! [X0] : ((((old(X0) | kind(X0)) & (~old(X0) | ~kind(X0))) | kind(X0)) & (~kind(X0) | ((~kind(X0) | old(X... | 0 |
Everyone who is either not creative or not old is both patient and creative and vice versa.
Everyone who is not quiet or humble is both not strong and rich.
Everyone who is not happy or creative is both not creative and not brave.
Everyone who is both quiet and not tall is both not funny and not creative and vice versa... | Lucy is patient. | neutral | (![X]:((~creative(X)<~>~old(X))<=>(patient(X)&creative(X))))&
(![X]:((~quiet(X)|humble(X))=>(~strong(X)&rich(X))))&
(![X]:((~happy(X)|creative(X))=>(~creative(X)&~brave(X))))&
(![X]:((quiet(X)&~tall(X))<=>(~funny(X)&~creative(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~patient(X)&strong(X)))))&
(![X]:((calm(X)|~calm(X))<=>(~... | patient(lucy) | [] | null | 0 |
If someone is not wise or generous then someone is both humble and patient and vice versa.
Everyone who is brave or not humble is both not creative and not quiet and vice versa.
If john is either not curious or not wise then someone is not generous and vice versa.
Everyone who is creative or funny is curious and vice v... | Susan is not humble. | entailment | ((?[X]:((~wise(X)|generous(X))))<=>(?[X]:((humble(X)&patient(X)))))&
(![X]:((brave(X)|~humble(X))<=>(~creative(X)&~quiet(X))))&
(((~curious(john)<~>~wise(john)))<=>(?[X]:(~generous(X))))&
(![X]:((creative(X)|funny(X))<=>curious(X)))&
(![X]:(rich(X)<=>calm(X)))&
(![X]:((~rich(X)|~creative(X))<=>(~calm(X)&wise(X))))&
(![... | ~humble(susan) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p7",
"p10",
"p13",
"p14",
"p15",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4091202029918970414796919
% SZS output start Proof for 4091202029918970414796919
1. ? [X0] : (generous(X0) | ~wise(X0)) <=> ? [X0] : (patient(X0) & humble(X0)) [input p0]
3. (~curious(john) <~> ~wise(john)) <=> ? [X0] : ~generous(X0) [input p2]
4. ! [X0] : ((funny(X0) | creative(X0)) <=> ... | 0 |
Everyone who is creative is not strong.
If lucy is not wise then someone is both happy and not wise.
Everyone who is either not brave or old is both wise and strong and vice versa.
Everyone who is either not brave or not humble is both not strong and not calm and vice versa.
Everyone who is not quiet is either strong o... | Fred is calm. | neutral | (![X]:(creative(X)=>~strong(X)))&
((~wise(lucy))=>(?[X]:((happy(X)&~wise(X)))))&
(![X]:((~brave(X)<~>old(X))<=>(wise(X)&strong(X))))&
(![X]:((~brave(X)<~>~humble(X))<=>(~strong(X)&~calm(X))))&
(![X]:(~quiet(X)=>(strong(X)<~>old(X))))&
(![X]:((old(X)<~>~humble(X))=>(~creative(X)|~tall(X))))&
(![X]:(~brave(X)<=>(creative... | calm(fred) | [] | null | 0 |
Everyone who is kind or generous is not funny or not kind.
Everyone who is patient or brave is quiet or curious.
Everyone who is not curious is generous or not generous and vice versa.
If lucy is either not tall or not patient then someone is not humble and vice versa.
Everyone who is both not patient and not happy is ... | Alice is strong. | neutral | (![X]:((kind(X)|generous(X))=>(~funny(X)|~kind(X))))&
(![X]:((patient(X)|brave(X))=>(quiet(X)|curious(X))))&
(![X]:(~curious(X)<=>(generous(X)|~generous(X))))&
(((~tall(lucy)<~>~patient(lucy)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)&~happy(X))<=>~creative(X)))&
(![X]:((~creative(X)&tall(X))=>(wise(X)&happy(X))))&
... | strong(alice) | [] | null | 0 |
Everyone who is rich or not calm is patient or strong. Everyone who is both curious and not old is either not rich or strong and vice versa. Everyone who is brave is both not funny and kind and vice versa. If john is either rich or curious then someone is not humble and vice versa. If someone is funny then susan is old... | John is kind. | contradiction | (![X]:((rich(X)|~calm(X))=>(patient(X)|strong(X))))&
(![X]:((curious(X)&~old(X))<=>(~rich(X)<~>strong(X))))&
(![X]:(brave(X)<=>(~funny(X)&kind(X))))&
(((rich(john)<~>curious(john)))<=>(?[X]:(~humble(X))))&
((?[X]:(funny(X)))<=>((old(susan)|~humble(susan))))&
(((~quiet(lucy)<~>happy(lucy)))=>(~creative(paul)))&
(((humbl... | kind(john) | [
"p1",
"p2",
"p3",
"p9",
"p15",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2985459885631937279254632
% SZS output start Proof for 2985459885631937279254632
2. ! [X0] : ((~old(X0) & curious(X0)) <=> (~rich(X0) <~> strong(X0))) [input p1]
3. ! [X0] : (brave(X0) <=> (kind(X0) & ~funny(X0))) [input p2]
4. (rich(john) <~> curious(john)) <=> ? [X0] : ~humble(X0) [inpu... | 0 |
If paul is not tall then lucy is not strong and vice versa. If someone is not generous or humble then someone is both happy and not rich and vice versa. Everyone who is not old is either not funny or generous. Everyone who is happy is both not old and not patient and vice versa. Everyone who is both not creative and ol... | Fred is not strong. | contradiction | ((~tall(paul))<=>(~strong(lucy)))&
((?[X]:((~generous(X)|humble(X))))<=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:(~old(X)=>(~funny(X)<~>generous(X))))&
(![X]:(happy(X)<=>(~old(X)&~patient(X))))&
(![X]:((~creative(X)&old(X))<=>(~patient(X)<~>~old(X))))&
(![X]:((tall(X)<~>~funny(X))=>(calm(X)<~>old(X))))&
(![X]:((~curious(X)... | ~strong(fred) | [
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7472385212251370334348513
% SZS output start Proof for 7472385212251370334348513
7. ! [X0] : ((wise(X0) | ~curious(X0)) => (~creative(X0) & generous(X0))) [input p6]
9. (~generous(mary) & ~old(mary)) <=> ~strong(fred) [input p8]
13. ! [X0] : ((~curious(X0) <~> generous(X0)) <=> (brave(X0)... | 0 |
If someone is either not creative or not happy then john is both calm and funny and vice versa. Everyone who is not brave is funny. If someone is both humble and creative then someone is both old and not rich. If susan is either patient or not humble then someone is either creative or wise. Everyone who is not rich is ... | Susan is humble. | contradiction | ((?[X]:((~creative(X)<~>~happy(X))))<=>((calm(john)&funny(john))))&
(![X]:(~brave(X)=>funny(X)))&
((?[X]:((humble(X)&creative(X))))=>(?[X]:((old(X)&~rich(X)))))&
(((patient(susan)<~>~humble(susan)))=>(?[X]:((creative(X)<~>wise(X)))))&
(![X]:(~rich(X)<=>~funny(X)))&
(![X]:((humble(X)<~>~rich(X))=>(patient(X)|~humble(X))... | humble(susan) | [
"p4",
"p5",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 550036527734882119809408
% SZS output start Proof for 550036527734882119809408
5. ! [X0] : (~rich(X0) <=> ~funny(X0)) [input p4]
6. ! [X0] : ((humble(X0) <~> ~rich(X0)) => (~humble(X0) | patient(X0))) [input p5]
10. ! [X0] : ((creative(X0) & ~rich(X0)) <=> (patient(X0) | ~happy(X0))) [inp... | 0 |
If fred is curious or kind then lucy is strong and vice versa. If fred is not generous or not funny then john is either calm or not funny and vice versa. Everyone who is humble or tall is not tall or not curious. Everyone who is funny is not tall. Everyone who is not old or generous is both not wise and calm and vice v... | Mary is wise. | neutral | (((curious(fred)|kind(fred)))<=>(strong(lucy)))&
(((~generous(fred)|~funny(fred)))<=>((calm(john)<~>~funny(john))))&
(![X]:((humble(X)|tall(X))=>(~tall(X)|~curious(X))))&
(![X]:(funny(X)=>~tall(X)))&
(![X]:((~old(X)|generous(X))<=>(~wise(X)&calm(X))))&
((?[X]:(~rich(X)))=>(?[X]:(strong(X))))&
(((calm(mary)&~wise(mary))... | wise(mary) | [] | null | 0 |
If paul is both not creative and rich then someone is old or happy and vice versa.
If someone is both tall and not strong then someone is either calm or not patient.
If someone is both not creative and not wise then someone is both humble and not wise and vice versa.
Everyone who is tall or not brave is not happy and v... | John is not curious. | entailment | (((~creative(paul)&rich(paul)))<=>(?[X]:((old(X)|happy(X)))))&
((?[X]:((tall(X)&~strong(X))))=>(?[X]:((calm(X)<~>~patient(X)))))&
((?[X]:((~creative(X)&~wise(X))))<=>(?[X]:((humble(X)&~wise(X)))))&
(![X]:((tall(X)|~brave(X))<=>~happy(X)))&
(![X]:((generous(X)<~>creative(X))<=>(wise(X)<~>~curious(X))))&
((?[X]:(strong(X... | ~curious(john) | [
"p6",
"p12",
"p13",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2952028950120515367827585
% SZS output start Proof for 2952028950120515367827585
7. (~rich(john) & ~kind(john)) <=> ? [X0] : patient(X0) [input p6]
13. ! [X0] : ((curious(X0) | humble(X0)) <=> (rich(X0) | ~old(X0))) [input p12]
14. ! [X0] : ((generous(X0) <~> ~generous(X0)) <=> (quiet(X0)... | 0 |
Everyone who is both not wise and humble is funny or calm and vice versa.
Everyone who is not tall is both not patient and happy and vice versa.
Everyone who is not happy or generous is calm or not brave.
Everyone who is not strong or brave is curious or tall and vice versa.
If susan is rich or kind then lucy is either... | Mary is not strong. | neutral | (![X]:((~wise(X)&humble(X))<=>(funny(X)|calm(X))))&
(![X]:(~tall(X)<=>(~patient(X)&happy(X))))&
(![X]:((~happy(X)|generous(X))=>(calm(X)|~brave(X))))&
(![X]:((~strong(X)|brave(X))<=>(curious(X)|tall(X))))&
(((rich(susan)|kind(susan)))=>((rich(lucy)<~>old(lucy))))&
((?[X]:(curious(X)))<=>(patient(susan)))&
((?[X]:((rich... | ~strong(mary) | [] | null | 0 |
If mary is quiet then alice is both tall and quiet and vice versa.
Everyone who is not rich is either curious or not rich and vice versa.
If mary is not quiet or patient then lucy is strong or not old and vice versa.
Everyone who is not creative is not generous and vice versa.
Everyone who is either not rich or not kin... | Susan is patient. | entailment | ((quiet(mary))<=>((tall(alice)&quiet(alice))))&
(![X]:(~rich(X)<=>(curious(X)<~>~rich(X))))&
(((~quiet(mary)|patient(mary)))<=>((strong(lucy)|~old(lucy))))&
(![X]:(~creative(X)<=>~generous(X)))&
(![X]:((~rich(X)<~>~kind(X))<=>~kind(X)))&
((patient(susan))<=>((old(susan)|patient(susan))))&
(![X]:((~brave(X)&~strong(X))<... | patient(susan) | [
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7280372719939253314418689
% SZS output start Proof for 7280372719939253314418689
6. patient(susan) <=> (patient(susan) | old(susan)) [input p5]
9. ! [X0] : ((~patient(X0) | ~generous(X0)) => (quiet(X0) & calm(X0))) [input p8]
12. ! [X0] : (~quiet(X0) <=> (~old(X0) | ~creative(X0))) [input... | 0 |
If someone is not wise then someone is not funny or not happy and vice versa.
Everyone who is humble is patient or strong and vice versa.
If someone is wise or not calm then someone is not curious or not calm and vice versa.
Everyone who is both tall and not wise is either not creative or not tall and vice versa.
Every... | Alice is generous. | contradiction | ((?[X]:(~wise(X)))<=>(?[X]:((~funny(X)|~happy(X)))))&
(![X]:(humble(X)<=>(patient(X)|strong(X))))&
((?[X]:((wise(X)|~calm(X))))<=>(?[X]:((~curious(X)|~calm(X)))))&
(![X]:((tall(X)&~wise(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:((tall(X)&curious(X))<=>~wise(X)))&
(![X]:((~rich(X)<~>~old(X))=>~quiet(X)))&
(((~funny(mary)... | generous(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 219895417068684184455882
% SZS output start Proof for 219895417068684184455882
12. ! [X0] : (~generous(X0) <=> (strong(X0) <~> ~strong(X0))) [input p11]
23. generous(alice) [input hypothesis]
56. ! [X0] : ((~generous(X0) | ((strong(X0) | strong(X0)) & (~strong(X0) | ~strong(X0)))) & (((st... | 0 |
If susan is happy then paul is not old.
If someone is funny then someone is strong.
Everyone who is not calm is both humble and generous.
If john is old or strong then someone is both not old and kind.
If mary is either not quiet or not strong then mary is both not strong and rich.
If lucy is not funny or curious then ... | John is humble. | contradiction | ((happy(susan))=>(~old(paul)))&
((?[X]:(funny(X)))=>(?[X]:(strong(X))))&
(![X]:(~calm(X)=>(humble(X)&generous(X))))&
(((old(john)|strong(john)))=>(?[X]:((~old(X)&kind(X)))))&
(((~quiet(mary)<~>~strong(mary)))=>((~strong(mary)&rich(mary))))&
(((~funny(lucy)|curious(lucy)))<=>(?[X]:(~creative(X))))&
(![X]:((~strong(X)&ri... | humble(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7954364146172655721415420
% SZS output start Proof for 7954364146172655721415420
11. ! [X0] : ((~humble(X0) | humble(X0)) => ~humble(X0)) [input p10]
23. humble(john) [input hypothesis]
37. ! [X0] : (~humble(X0) | (humble(X0) & ~humble(X0))) [ennf transformation 11]
98. ~humble(X0) | ~hum... | 0 |
Everyone who is not humble is strong or calm and vice versa.
Everyone who is not strong or patient is either funny or not calm.
If someone is not kind or not generous then alice is either not kind or calm.
Everyone who is either funny or not strong is curious or not rich.
If someone is both brave and funny then someone... | John is not tall. | contradiction | (![X]:(~humble(X)<=>(strong(X)|calm(X))))&
(![X]:((~strong(X)|patient(X))=>(funny(X)<~>~calm(X))))&
((?[X]:((~kind(X)|~generous(X))))=>((~kind(alice)<~>calm(alice))))&
(![X]:((funny(X)<~>~strong(X))=>(curious(X)|~rich(X))))&
((?[X]:((brave(X)&funny(X))))=>(?[X]:(kind(X))))&
(![X]:((creative(X)&~calm(X))<=>(strong(X)<~>... | ~tall(john) | [
"p0",
"p1",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2992767951017624338647559
% SZS output start Proof for 2992767951017624338647559
1. ! [X0] : (~humble(X0) <=> (calm(X0) | strong(X0))) [input p0]
2. ! [X0] : ((patient(X0) | ~strong(X0)) => (funny(X0) <~> ~calm(X0))) [input p1]
9. ! [X0] : (~tall(X0) <=> humble(X0)) [input p8]
15. ! [X0] ... | 0 |
Everyone who is creative is not generous and vice versa.
If paul is not generous then paul is either strong or not quiet.
Everyone who is not brave or strong is patient.
If someone is both not tall and not wise then someone is both not humble and not creative and vice versa.
If john is tall or not funny then lucy is ei... | John is calm. | entailment | (![X]:(creative(X)<=>~generous(X)))&
((~generous(paul))=>((strong(paul)<~>~quiet(paul))))&
(![X]:((~brave(X)|strong(X))=>patient(X)))&
((?[X]:((~tall(X)&~wise(X))))<=>(?[X]:((~humble(X)&~creative(X)))))&
(((tall(john)|~funny(john)))=>((tall(lucy)<~>~rich(lucy))))&
(![X]:((funny(X)<~>tall(X))<=>(~calm(X)|~creative(X))))... | calm(john) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 391377121105313574250614
% SZS output start Proof for 391377121105313574250614
1. ! [X0] : (creative(X0) <=> ~generous(X0)) [input p0]
3. ! [X0] : ((strong(X0) | ~brave(X0)) => patient(X0)) [input p2]
4. ? [X0] : (~wise(X0) & ~tall(X0)) <=> ? [X0] : (~creative(X0) & ~humble(X0)) [input p3... | 0 |
If someone is not tall or kind then someone is not patient or kind and vice versa.
Everyone who is both not quiet and not wise is happy or not funny.
Everyone who is either generous or not curious is humble or creative and vice versa.
Everyone who is patient or not happy is old or tall and vice versa.
Everyone who is n... | Lucy is old. | entailment | ((?[X]:((~tall(X)|kind(X))))<=>(?[X]:((~patient(X)|kind(X)))))&
(![X]:((~quiet(X)&~wise(X))=>(happy(X)|~funny(X))))&
(![X]:((generous(X)<~>~curious(X))<=>(humble(X)|creative(X))))&
(![X]:((patient(X)|~happy(X))<=>(old(X)|tall(X))))&
(![X]:(~humble(X)<=>(~old(X)<~>~humble(X))))&
(![X]:((~old(X)&~funny(X))=>(~kind(X)&cur... | old(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1720086283786611914280170
% SZS output start Proof for 1720086283786611914280170
5. ! [X0] : (~humble(X0) <=> (~old(X0) <~> ~humble(X0))) [input p4]
25. ~old(lucy) [input hypothesis]
47. ! [X0] : ((~humble(X0) | ((~old(X0) | humble(X0)) & (~humble(X0) | old(X0)))) & (((humble(X0) | old(X0... | 0 |
If someone is not generous or humble then someone is either not quiet or old.
If susan is funny or happy then someone is not curious or calm.
Everyone who is both calm and not kind is not creative and vice versa.
If someone is both creative and not funny then someone is funny or not curious.
If someone is both happy an... | Fred is generous. | entailment | ((?[X]:((~generous(X)|humble(X))))=>(?[X]:((~quiet(X)<~>old(X)))))&
(((funny(susan)|happy(susan)))=>(?[X]:((~curious(X)|calm(X)))))&
(![X]:((calm(X)&~kind(X))<=>~creative(X)))&
((?[X]:((creative(X)&~funny(X))))=>(?[X]:((funny(X)|~curious(X)))))&
((?[X]:((happy(X)&tall(X))))=>(calm(alice)))&
(![X]:((~strong(X)&rich(X))<... | generous(fred) | [
"p0",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8091400908393591152430035
% SZS output start Proof for 8091400908393591152430035
1. ? [X0] : (humble(X0) | ~generous(X0)) => ? [X0] : (~quiet(X0) <~> old(X0)) [input p0]
9. ! [X0] : ((brave(X0) | generous(X0)) => (patient(X0) & ~humble(X0))) [input p8]
11. ! [X0] : ((old(X0) | ~quiet(X0))... | 0 |
Everyone who is both not brave and not generous is either rich or not patient and vice versa. Everyone who is both not wise and kind is not humble. Everyone who is happy is patient or not happy. If alice is brave or not tall then someone is quiet. If lucy is both not quiet and creative then fred is tall and vice versa.... | Fred is not tall. | entailment | (![X]:((~brave(X)&~generous(X))<=>(rich(X)<~>~patient(X))))&
(![X]:((~wise(X)&kind(X))=>~humble(X)))&
(![X]:(happy(X)=>(patient(X)|~happy(X))))&
(((brave(alice)|~tall(alice)))=>(?[X]:(quiet(X))))&
(((~quiet(lucy)&creative(lucy)))<=>(tall(fred)))&
((?[X]:((~old(X)|~funny(X))))<=>(calm(paul)))&
(![X]:(~humble(X)<=>(rich(... | ~tall(fred) | [
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 807185698333863359654568
% SZS output start Proof for 807185698333863359654568
5. (creative(lucy) & ~quiet(lucy)) <=> tall(fred) [input p4]
11. ! [X0] : ((~creative(X0) <~> ~quiet(X0)) => (rich(X0) & ~patient(X0))) [input p10]
13. ! [X0] : ((quiet(X0) <~> patient(X0)) <=> (~old(X0) | crea... | 0 |
If someone is both brave and strong then someone is not brave or patient. If someone is not brave then someone is not tall or calm. Everyone who is either not humble or calm is not happy or not kind and vice versa. If someone is wise then susan is both rich and quiet. Everyone who is not rich or not quiet is not calm o... | John is not funny. | neutral | ((?[X]:((brave(X)&strong(X))))=>(?[X]:((~brave(X)|patient(X)))))&
((?[X]:(~brave(X)))=>(?[X]:((~tall(X)|calm(X)))))&
(![X]:((~humble(X)<~>calm(X))<=>(~happy(X)|~kind(X))))&
((?[X]:(wise(X)))=>((rich(susan)&quiet(susan))))&
(![X]:((~rich(X)|~quiet(X))<=>(~calm(X)|~brave(X))))&
(![X]:(~calm(X)<=>(~old(X)|~happy(X))))&
(!... | ~funny(john) | [] | null | 0 |
If someone is calm or not strong then susan is both generous and patient.
If someone is either tall or strong then mary is funny.
If someone is not calm or tall then someone is funny or curious.
Everyone who is strong is both not funny and not tall and vice versa.
Everyone who is not happy or not kind is both rich and ... | Alice is creative. | entailment | ((?[X]:((calm(X)|~strong(X))))=>((generous(susan)&patient(susan))))&
((?[X]:((tall(X)<~>strong(X))))=>(funny(mary)))&
((?[X]:((~calm(X)|tall(X))))=>(?[X]:((funny(X)|curious(X)))))&
(![X]:(strong(X)<=>(~funny(X)&~tall(X))))&
(![X]:((~happy(X)|~kind(X))<=>(rich(X)&brave(X))))&
((?[X]:((quiet(X)|humble(X))))<=>((~old(mary... | creative(alice) | [
"p1",
"p3",
"p4",
"p5",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 101090541577670721151279
% SZS output start Proof for 101090541577670721151279
2. ? [X0] : (tall(X0) <~> strong(X0)) => funny(mary) [input p1]
4. ! [X0] : (strong(X0) <=> (~tall(X0) & ~funny(X0))) [input p3]
5. ! [X0] : ((~kind(X0) | ~happy(X0)) <=> (brave(X0) & rich(X0))) [input p4]
6. ?... | 0 |
Everyone who is either not curious or generous is wise and vice versa.
Everyone who is either not wise or not strong is not creative or rich.
Everyone who is generous or not calm is either patient or not humble and vice versa.
If lucy is either not happy or calm then someone is either curious or not curious and vice ve... | Susan is not tall. | neutral | (![X]:((~curious(X)<~>generous(X))<=>wise(X)))&
(![X]:((~wise(X)<~>~strong(X))=>(~creative(X)|rich(X))))&
(![X]:((generous(X)|~calm(X))<=>(patient(X)<~>~humble(X))))&
(((~happy(lucy)<~>calm(lucy)))<=>(?[X]:((curious(X)<~>~curious(X)))))&
((happy(alice))<=>(?[X]:((wise(X)|~happy(X)))))&
((~creative(susan))<=>(?[X]:((~ca... | ~tall(susan) | [] | null | 0 |
Everyone who is not wise or not kind is not creative.
Everyone who is either not wise or not patient is either wise or not quiet and vice versa.
If someone is both not tall and brave then mary is kind or brave and vice versa.
If lucy is not funny then john is both creative and not quiet and vice versa.
If paul is both ... | Lucy is not humble. | entailment | (![X]:((~wise(X)|~kind(X))=>~creative(X)))&
(![X]:((~wise(X)<~>~patient(X))<=>(wise(X)<~>~quiet(X))))&
((?[X]:((~tall(X)&brave(X))))<=>((kind(mary)|brave(mary))))&
((~funny(lucy))<=>((creative(john)&~quiet(john))))&
(((~humble(paul)&happy(paul)))<=>((creative(paul)&~patient(paul))))&
(((wise(fred)&~rich(fred)))<=>((~ge... | ~humble(lucy) | [
"p1",
"p6",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7677316287768397682197706
% SZS output start Proof for 7677316287768397682197706
2. ! [X0] : ((~wise(X0) <~> ~patient(X0)) <=> (wise(X0) <~> ~quiet(X0))) [input p1]
7. ! [X0] : ((~old(X0) & quiet(X0)) <=> (humble(X0) & ~old(X0))) [input p6]
8. ! [X0] : ((~patient(X0) & ~generous(X0)) => ~... | 0 |
If someone is both not strong and humble then someone is both happy and rich and vice versa.
Everyone who is rich or not curious is not patient and vice versa.
Everyone who is both old and not old is both not generous and not tall.
If someone is kind then fred is not curious or rich and vice versa.
Everyone who is not ... | Susan is not happy. | neutral | ((?[X]:((~strong(X)&humble(X))))<=>(?[X]:((happy(X)&rich(X)))))&
(![X]:((rich(X)|~curious(X))<=>~patient(X)))&
(![X]:((old(X)&~old(X))=>(~generous(X)&~tall(X))))&
((?[X]:(kind(X)))<=>((~curious(fred)|rich(fred))))&
(![X]:((~tall(X)|~rich(X))=>(~old(X)&~calm(X))))&
(![X]:((brave(X)&~quiet(X))<=>creative(X)))&
(![X]:((~c... | ~happy(susan) | [] | null | 0 |
Everyone who is either not funny or generous is either quiet or patient.
If lucy is both not rich and generous then lucy is both not quiet and old and vice versa.
If fred is not quiet or not strong then mary is not calm and vice versa.
If mary is either not curious or not quiet then someone is both not kind and curious... | Lucy is not happy. | entailment | (![X]:((~funny(X)<~>generous(X))=>(quiet(X)<~>patient(X))))&
(((~rich(lucy)&generous(lucy)))<=>((~quiet(lucy)&old(lucy))))&
(((~quiet(fred)|~strong(fred)))<=>(~calm(mary)))&
(((~curious(mary)<~>~quiet(mary)))<=>(?[X]:((~kind(X)&curious(X)))))&
(![X]:((old(X)<~>brave(X))<=>~tall(X)))&
((?[X]:(old(X)))<=>((~happy(alice)&... | ~happy(lucy) | [
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4994065227447401051707605
% SZS output start Proof for 4994065227447401051707605
7. ! [X0] : ((~generous(X0) | humble(X0)) <=> (quiet(X0) <~> tall(X0))) [input p6]
9. ! [X0] : ((~tall(X0) | generous(X0)) => (~brave(X0) & ~happy(X0))) [input p8]
10. ! [X0] : ((rich(X0) | ~quiet(X0)) <=> (~... | 0 |
If someone is not strong or funny then someone is both wise and strong and vice versa.
Everyone who is either rich or creative is both tall and not brave and vice versa.
Everyone who is either not happy or not old is both not calm and brave.
Everyone who is both generous and not quiet is not kind or not funny and vice ... | Fred is generous. | entailment | ((?[X]:((~strong(X)|funny(X))))<=>(?[X]:((wise(X)&strong(X)))))&
(![X]:((rich(X)<~>creative(X))<=>(tall(X)&~brave(X))))&
(![X]:((~happy(X)<~>~old(X))=>(~calm(X)&brave(X))))&
(![X]:((generous(X)&~quiet(X))<=>(~kind(X)|~funny(X))))&
(![X]:((happy(X)&funny(X))=>(creative(X)|~kind(X))))&
(![X]:((~generous(X)<~>calm(X))=>(r... | generous(fred) | [
"p2",
"p3",
"p7",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2033951011206538006718042
% SZS output start Proof for 2033951011206538006718042
3. ! [X0] : ((~happy(X0) <~> ~old(X0)) => (brave(X0) & ~calm(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) & generous(X0)) <=> (~funny(X0) | ~kind(X0))) [input p3]
8. ? [X0] : (brave(X0) | old(X0)) => ? [X0] : (~... | 0 |
If someone is not old then susan is brave.
Everyone who is either humble or strong is creative.
If someone is strong or curious then someone is either not curious or not patient and vice versa.
Everyone who is either not strong or tall is funny or old and vice versa.
Everyone who is either humble or not rich is calm.
I... | Alice is not tall. | neutral | ((?[X]:(~old(X)))=>(brave(susan)))&
(![X]:((humble(X)<~>strong(X))=>creative(X)))&
((?[X]:((strong(X)|curious(X))))<=>(?[X]:((~curious(X)<~>~patient(X)))))&
(![X]:((~strong(X)<~>tall(X))<=>(funny(X)|old(X))))&
(![X]:((humble(X)<~>~rich(X))=>calm(X)))&
(((kind(alice)&~kind(alice)))<=>(?[X]:(curious(X))))&
(![X]:(funny(X... | ~tall(alice) | [] | null | 0 |
If someone is rich then lucy is both not generous and brave.
If fred is rich or not calm then someone is both curious and not happy.
If lucy is not rich or wise then lucy is not humble and vice versa.
If someone is not kind or not wise then alice is not brave or generous and vice versa.
Everyone who is both not brave a... | Alice is old. | contradiction | ((?[X]:(rich(X)))=>((~generous(lucy)&brave(lucy))))&
(((rich(fred)|~calm(fred)))=>(?[X]:((curious(X)&~happy(X)))))&
(((~rich(lucy)|wise(lucy)))<=>(~humble(lucy)))&
((?[X]:((~kind(X)|~wise(X))))<=>((~brave(alice)|generous(alice))))&
(![X]:((~brave(X)&old(X))<=>(brave(X)&~kind(X))))&
(![X]:((rich(X)|creative(X))=>(rich(X... | old(alice) | [
"p3",
"p4",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8060547742706801306325337
% SZS output start Proof for 8060547742706801306325337
4. ? [X0] : (~wise(X0) | ~kind(X0)) <=> (generous(alice) | ~brave(alice)) [input p3]
5. ! [X0] : ((old(X0) & ~brave(X0)) <=> (~kind(X0) & brave(X0))) [input p4]
10. (funny(alice) & ~kind(alice)) <=> ? [X0] : ... | 0 |
If someone is not quiet then alice is either quiet or curious.
Everyone who is patient or not brave is both not calm and rich and vice versa.
If someone is not patient then lucy is humble or not wise and vice versa.
Everyone who is not quiet is both not quiet and generous and vice versa.
Everyone who is not funny is ei... | Alice is not happy. | neutral | ((?[X]:(~quiet(X)))=>((quiet(alice)<~>curious(alice))))&
(![X]:((patient(X)|~brave(X))<=>(~calm(X)&rich(X))))&
((?[X]:(~patient(X)))<=>((humble(lucy)|~wise(lucy))))&
(![X]:(~quiet(X)<=>(~quiet(X)&generous(X))))&
(![X]:(~funny(X)<=>(~generous(X)<~>~happy(X))))&
((?[X]:((~kind(X)|~curious(X))))<=>(?[X]:((~wise(X)&funny(X... | ~happy(alice) | [] | null | 0 |
Everyone who is either kind or not kind is either kind or patient and vice versa.
Everyone who is either not quiet or happy is wise.
Everyone who is not quiet or kind is curious and vice versa.
Everyone who is generous or brave is both happy and brave.
Everyone who is either not quiet or not rich is either creative or ... | Paul is curious. | contradiction | (![X]:((kind(X)<~>~kind(X))<=>(kind(X)<~>patient(X))))&
(![X]:((~quiet(X)<~>happy(X))=>wise(X)))&
(![X]:((~quiet(X)|kind(X))<=>curious(X)))&
(![X]:((generous(X)|brave(X))=>(happy(X)&brave(X))))&
(![X]:((~quiet(X)<~>~rich(X))<=>(creative(X)<~>generous(X))))&
((?[X]:((~humble(X)&~tall(X))))=>((happy(john)<~>~generous(joh... | curious(paul) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p7",
"p8",
"p9",
"p11",
"p12",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6454764886907452874286867
% SZS output start Proof for 6454764886907452874286867
1. ! [X0] : ((kind(X0) <~> ~kind(X0)) <=> (kind(X0) <~> patient(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) <~> happy(X0)) => wise(X0)) [input p1]
3. ! [X0] : ((kind(X0) | ~quiet(X0)) <=> curious(X0)) [input p2... | 0 |
If someone is both not old and not generous then someone is both tall and calm and vice versa.
Everyone who is both not generous and calm is both not curious and not generous and vice versa.
Everyone who is kind or not brave is not wise or not brave.
If someone is both humble and old then mary is both not funny and not... | Alice is not strong. | neutral | ((?[X]:((~old(X)&~generous(X))))<=>(?[X]:((tall(X)&calm(X)))))&
(![X]:((~generous(X)&calm(X))<=>(~curious(X)&~generous(X))))&
(![X]:((kind(X)|~brave(X))=>(~wise(X)|~brave(X))))&
((?[X]:((humble(X)&old(X))))=>((~funny(mary)&~creative(mary))))&
(![X]:((~tall(X)|tall(X))<=>(~kind(X)<~>kind(X))))&
(![X]:((kind(X)<~>rich(X)... | ~strong(alice) | [] | null | 0 |
If someone is wise then fred is both patient and not creative and vice versa.
Everyone who is humble or not wise is either kind or not curious and vice versa.
Everyone who is not funny or not calm is funny.
If lucy is both not creative and not kind then someone is either old or humble and vice versa.
If john is both ri... | Lucy is calm. | entailment | ((?[X]:(wise(X)))<=>((patient(fred)&~creative(fred))))&
(![X]:((humble(X)|~wise(X))<=>(kind(X)<~>~curious(X))))&
(![X]:((~funny(X)|~calm(X))=>funny(X)))&
(((~creative(lucy)&~kind(lucy)))<=>(?[X]:((old(X)<~>humble(X)))))&
(((rich(john)&~funny(john)))<=>((humble(fred)|~tall(fred))))&
((?[X]:((~strong(X)&humble(X))))<=>((... | calm(lucy) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3088178932660100153757791
% SZS output start Proof for 3088178932660100153757791
3. ! [X0] : ((~calm(X0) | ~funny(X0)) => funny(X0)) [input p2]
4. (~kind(lucy) & ~creative(lucy)) <=> ? [X0] : (old(X0) <~> humble(X0)) [input p3]
5. (~funny(john) & rich(john)) <=> (~tall(fred) | humble(fred... | 0 |
Everyone who is both creative and not generous is kind or happy. If someone is either not tall or not quiet then someone is funny or creative and vice versa. Everyone who is either not humble or strong is not happy or not kind. Everyone who is not kind is both creative and not kind. If someone is either not creative or... | Lucy is not kind. | contradiction | (![X]:((creative(X)&~generous(X))=>(kind(X)|happy(X))))&
((?[X]:((~tall(X)<~>~quiet(X))))<=>(?[X]:((funny(X)|creative(X)))))&
(![X]:((~humble(X)<~>strong(X))=>(~happy(X)|~kind(X))))&
(![X]:(~kind(X)=>(creative(X)&~kind(X))))&
((?[X]:((~creative(X)<~>~rich(X))))<=>(wise(lucy)))&
(![X]:((~patient(X)|funny(X))=>(~generous... | ~kind(lucy) | [
"p3",
"p4",
"p5",
"p8",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 825097528445991609862965
% SZS output start Proof for 825097528445991609862965
4. ! [X0] : (~kind(X0) => (~kind(X0) & creative(X0))) [input p3]
5. ? [X0] : (~creative(X0) <~> ~rich(X0)) <=> wise(lucy) [input p4]
6. ! [X0] : ((funny(X0) | ~patient(X0)) => (~generous(X0) <~> creative(X0))) ... | 0 |
Everyone who is either not rich or old is not tall or funny and vice versa. If alice is both wise and patient then someone is both not creative and not calm. If mary is brave or not tall then susan is calm or not patient. If paul is both wise and funny then alice is not creative or not rich. Everyone who is strong is b... | John is brave. | contradiction | (![X]:((~rich(X)<~>old(X))<=>(~tall(X)|funny(X))))&
(((wise(alice)&patient(alice)))=>(?[X]:((~creative(X)&~calm(X)))))&
(((brave(mary)|~tall(mary)))=>((calm(susan)|~patient(susan))))&
(((wise(paul)&funny(paul)))=>((~creative(alice)|~rich(alice))))&
(![X]:(strong(X)<=>(~humble(X)&~strong(X))))&
(((kind(alice)|curious(al... | brave(john) | [
"p0",
"p4",
"p7",
"p8",
"p9",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5717700010073515666717264
% SZS output start Proof for 5717700010073515666717264
1. ! [X0] : ((~rich(X0) <~> old(X0)) <=> (funny(X0) | ~tall(X0))) [input p0]
5. ! [X0] : (strong(X0) <=> (~strong(X0) & ~humble(X0))) [input p4]
8. ! [X0] : ((quiet(X0) & kind(X0)) <=> (~tall(X0) | happy(X0))... | 0 |
Everyone who is not generous is both wise and not brave.
Everyone who is both not funny and not brave is both kind and not tall.
If someone is not strong then john is either not creative or not funny and vice versa.
If fred is either quiet or not tall then mary is either not funny or quiet.
Everyone who is not old or n... | John is not strong. | contradiction | (![X]:(~generous(X)=>(wise(X)&~brave(X))))&
(![X]:((~funny(X)&~brave(X))=>(kind(X)&~tall(X))))&
((?[X]:(~strong(X)))<=>((~creative(john)<~>~funny(john))))&
(((quiet(fred)<~>~tall(fred)))=>((~funny(mary)<~>quiet(mary))))&
(![X]:((~old(X)|~strong(X))<=>(curious(X)&calm(X))))&
((?[X]:((~wise(X)<~>generous(X))))<=>(?[X]:((... | ~strong(john) | [
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9165191533876223300939804
% SZS output start Proof for 9165191533876223300939804
5. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (calm(X0) & curious(X0))) [input p4]
16. ! [X0] : (curious(X0) => (~tall(X0) & ~calm(X0))) [input p15]
25. ~strong(john) [input hypothesis]
40. ! [X0] : ((~tall(X0) &... | 0 |
If someone is both strong and happy then fred is both not humble and rich.
If mary is rich or happy then fred is either not tall or happy and vice versa.
Everyone who is not rich or humble is not funny or not humble.
If someone is either quiet or not strong then someone is not generous.
Everyone who is not creative is ... | Fred is not curious. | neutral | ((?[X]:((strong(X)&happy(X))))=>((~humble(fred)&rich(fred))))&
(((rich(mary)|happy(mary)))<=>((~tall(fred)<~>happy(fred))))&
(![X]:((~rich(X)|humble(X))=>(~funny(X)|~humble(X))))&
((?[X]:((quiet(X)<~>~strong(X))))=>(?[X]:(~generous(X))))&
(![X]:(~creative(X)<=>(old(X)<~>patient(X))))&
((?[X]:((~strong(X)<~>happy(X))))=... | ~curious(fred) | [] | null | 0 |
If alice is not wise or calm then mary is both not calm and not funny and vice versa.
Everyone who is either not generous or wise is kind and vice versa.
If susan is both not humble and creative then fred is not humble or generous.
If paul is both quiet and rich then lucy is generous or rich.
Everyone who is either ric... | Fred is creative. | neutral | (((~wise(alice)|calm(alice)))<=>((~calm(mary)&~funny(mary))))&
(![X]:((~generous(X)<~>wise(X))<=>kind(X)))&
(((~humble(susan)&creative(susan)))=>((~humble(fred)|generous(fred))))&
(((quiet(paul)&rich(paul)))=>((generous(lucy)|rich(lucy))))&
(![X]:((rich(X)<~>strong(X))=>(tall(X)&~creative(X))))&
(![X]:((~generous(X)&~s... | creative(fred) | [] | null | 0 |
Everyone who is both not calm and not rich is both not kind and not creative.
If someone is not curious then someone is either not strong or wise.
Everyone who is either not strong or not happy is not curious and vice versa.
Everyone who is wise is either generous or not happy.
If someone is not funny or not kind then ... | Fred is not happy. | contradiction | (![X]:((~calm(X)&~rich(X))=>(~kind(X)&~creative(X))))&
((?[X]:(~curious(X)))=>(?[X]:((~strong(X)<~>wise(X)))))&
(![X]:((~strong(X)<~>~happy(X))<=>~curious(X)))&
(![X]:(wise(X)=>(generous(X)<~>~happy(X))))&
((?[X]:((~funny(X)|~kind(X))))=>(?[X]:(~tall(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(tall(X)&calm(X))))&
(((~rich(... | ~happy(fred) | [
"p2",
"p8",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8594937594506562961312886
% SZS output start Proof for 8594937594506562961312886
3. ! [X0] : ((~strong(X0) <~> ~happy(X0)) <=> ~curious(X0)) [input p2]
9. ? [X0] : strong(X0) => (rich(fred) & ~funny(fred)) [input p8]
19. ~curious(fred) [input p18]
24. ~rich(fred) <~> ~strong(fred) [input ... | 0 |
If someone is humble then susan is quiet or happy.
If someone is both rich and happy then john is both tall and not patient.
Everyone who is both wise and not wise is either rich or old and vice versa.
Everyone who is creative or not creative is wise or not funny and vice versa.
If someone is not generous then mary is ... | Alice is not kind. | entailment | ((?[X]:(humble(X)))=>((quiet(susan)|happy(susan))))&
((?[X]:((rich(X)&happy(X))))=>((tall(john)&~patient(john))))&
(![X]:((wise(X)&~wise(X))<=>(rich(X)<~>old(X))))&
(![X]:((creative(X)|~creative(X))<=>(wise(X)|~funny(X))))&
((?[X]:(~generous(X)))=>((rich(mary)<~>~strong(mary))))&
(![X]:((~tall(X)|~strong(X))=>(~calm(X)... | ~kind(alice) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1441273196078941953543701
% SZS output start Proof for 1441273196078941953543701
22. ~kind(alice) & ~patient(alice) [input p21]
25. kind(alice) [input hypothesis]
138. ~kind(alice) [cnf transformation 22]
141. kind(alice) [cnf transformation 25]
303. $false [subsumption resolution 141,138... | 0 |
Everyone who is either not kind or not brave is either happy or not wise and vice versa. If someone is both not kind and not happy then lucy is kind or not creative and vice versa. Everyone who is either wise or kind is not old or not funny. Everyone who is not creative or not happy is generous. Everyone who is either ... | Lucy is kind. | neutral | (![X]:((~kind(X)<~>~brave(X))<=>(happy(X)<~>~wise(X))))&
((?[X]:((~kind(X)&~happy(X))))<=>((kind(lucy)|~creative(lucy))))&
(![X]:((wise(X)<~>kind(X))=>(~old(X)|~funny(X))))&
(![X]:((~creative(X)|~happy(X))=>generous(X)))&
(![X]:((humble(X)<~>old(X))<=>(~curious(X)&~humble(X))))&
(![X]:((patient(X)|~generous(X))=>rich(X... | kind(lucy) | [] | null | 0 |
If susan is either not brave or generous then someone is not generous.
If john is both not brave and patient then someone is generous or not kind.
If john is both not generous and not humble then alice is not curious and vice versa.
Everyone who is both not generous and strong is not funny or funny.
Everyone who is hap... | Paul is not patient. | neutral | (((~brave(susan)<~>generous(susan)))=>(?[X]:(~generous(X))))&
(((~brave(john)&patient(john)))=>(?[X]:((generous(X)|~kind(X)))))&
(((~generous(john)&~humble(john)))<=>(~curious(alice)))&
(![X]:((~generous(X)&strong(X))=>(~funny(X)|funny(X))))&
(![X]:(happy(X)=>funny(X)))&
(![X]:(~patient(X)<=>(tall(X)<~>happy(X))))&
(![... | ~patient(paul) | [] | null | 0 |
Everyone who is creative or not funny is either calm or not patient. Everyone who is not tall is both not quiet and funny and vice versa. If someone is either rich or quiet then mary is not happy or wise and vice versa. Everyone who is not quiet is both quiet and kind and vice versa. If john is not generous or not calm... | John is not kind. | entailment | (![X]:((creative(X)|~funny(X))=>(calm(X)<~>~patient(X))))&
(![X]:(~tall(X)<=>(~quiet(X)&funny(X))))&
((?[X]:((rich(X)<~>quiet(X))))<=>((~happy(mary)|wise(mary))))&
(![X]:(~quiet(X)<=>(quiet(X)&kind(X))))&
(((~generous(john)|~calm(john)))<=>((~tall(alice)<~>~strong(alice))))&
(![X]:((calm(X)<~>~old(X))<=>(generous(X)&fu... | ~kind(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2898116098966656967849184
% SZS output start Proof for 2898116098966656967849184
4. ! [X0] : (~quiet(X0) <=> (kind(X0) & quiet(X0))) [input p3]
25. kind(john) [input hypothesis]
44. ! [X0] : ((~quiet(X0) | (~kind(X0) | ~quiet(X0))) & ((kind(X0) & quiet(X0)) | quiet(X0))) [nnf transformati... | 0 |
Everyone who is both not strong and rich is both not curious and not strong and vice versa.
Everyone who is happy or funny is either not strong or patient.
Everyone who is strong or patient is not wise and vice versa.
Everyone who is not patient or not kind is both funny and not happy and vice versa.
Everyone who is ei... | Fred is not curious. | entailment | (![X]:((~strong(X)&rich(X))<=>(~curious(X)&~strong(X))))&
(![X]:((happy(X)|funny(X))=>(~strong(X)<~>patient(X))))&
(![X]:((strong(X)|patient(X))<=>~wise(X)))&
(![X]:((~patient(X)|~kind(X))<=>(funny(X)&~happy(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(~creative(X)&old(X))))&
(![X]:((~happy(X)&quiet(X))=>~wise(X)))&
((quiet(p... | ~curious(fred) | [
"p1",
"p2",
"p3",
"p5",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9041604383236690047409584
% SZS output start Proof for 9041604383236690047409584
2. ! [X0] : ((funny(X0) | happy(X0)) => (~strong(X0) <~> patient(X0))) [input p1]
3. ! [X0] : ((patient(X0) | strong(X0)) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((~kind(X0) | ~patient(X0)) <=> (~happy(X0) & fu... | 0 |
Everyone who is not funny is happy or strong.
If john is both not tall and not funny then someone is either tall or not humble and vice versa.
Everyone who is wise is both wise and strong.
Everyone who is quiet is either creative or funny.
If someone is quiet or not rich then someone is not wise.
Everyone who is not ki... | Paul is tall. | contradiction | (![X]:(~funny(X)=>(happy(X)|strong(X))))&
(((~tall(john)&~funny(john)))<=>(?[X]:((tall(X)<~>~humble(X)))))&
(![X]:(wise(X)=>(wise(X)&strong(X))))&
(![X]:(quiet(X)=>(creative(X)<~>funny(X))))&
((?[X]:((quiet(X)|~rich(X))))=>(?[X]:(~wise(X))))&
(![X]:(~kind(X)=>(old(X)&happy(X))))&
(![X]:((rich(X)&strong(X))<=>(~tall(X)&... | tall(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4317311151059943154703847
% SZS output start Proof for 4317311151059943154703847
14. ? [X0] : (tall(X0) | curious(X0)) => (quiet(paul) & ~quiet(paul)) [input p13]
24. tall(paul) [input hypothesis]
26. ? [X0] : tall(X0) => (quiet(paul) & ~quiet(paul)) [pure predicate removal 14]
37. (quiet... | 0 |
Everyone who is not calm or strong is both curious and not old and vice versa. Everyone who is not kind or kind is not patient or not old and vice versa. Everyone who is both tall and not generous is both not rich and not quiet and vice versa. Everyone who is either not creative or not old is not brave or tall. If some... | Alice is creative. | entailment | (![X]:((~calm(X)|strong(X))<=>(curious(X)&~old(X))))&
(![X]:((~kind(X)|kind(X))<=>(~patient(X)|~old(X))))&
(![X]:((tall(X)&~generous(X))<=>(~rich(X)&~quiet(X))))&
(![X]:((~creative(X)<~>~old(X))=>(~brave(X)|tall(X))))&
((?[X]:(patient(X)))<=>(?[X]:((kind(X)|~happy(X)))))&
((?[X]:((~rich(X)|wise(X))))=>((strong(fred)|ta... | creative(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 112161725331950584231511
% SZS output start Proof for 112161725331950584231511
7. ! [X0] : ((old(X0) & creative(X0)) <=> (creative(X0) | ~creative(X0))) [input p6]
24. ~creative(alice) [input hypothesis]
49. ! [X0] : (((old(X0) & creative(X0)) | (~creative(X0) & creative(X0))) & ((creativ... | 0 |
Everyone who is both not quiet and tall is either curious or funny.
If someone is either strong or happy then someone is not quiet or kind and vice versa.
Everyone who is not generous is both generous and strong.
Everyone who is either not generous or not strong is generous or wise and vice versa.
If someone is not pat... | Mary is strong. | contradiction | (![X]:((~quiet(X)&tall(X))=>(curious(X)<~>funny(X))))&
((?[X]:((strong(X)<~>happy(X))))<=>(?[X]:((~quiet(X)|kind(X)))))&
(![X]:(~generous(X)=>(generous(X)&strong(X))))&
(![X]:((~generous(X)<~>~strong(X))<=>(generous(X)|wise(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~wise(X)<~>strong(X)))))&
(![X]:(~rich(X)<=>(~strong(X)|~... | strong(mary) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7911402601946970072364766
% SZS output start Proof for 7911402601946970072364766
3. ! [X0] : (~generous(X0) => (strong(X0) & generous(X0))) [input p2]
4. ! [X0] : ((~generous(X0) <~> ~strong(X0)) <=> (wise(X0) | generous(X0))) [input p3]
24. strong(mary) [input hypothesis]
29. ! [X0] : ((... | 0 |
If fred is both calm and not calm then someone is either kind or generous and vice versa.
Everyone who is either kind or happy is calm or kind and vice versa.
If someone is strong or old then someone is either not funny or strong.
Everyone who is strong or wise is patient and vice versa.
If someone is not rich or not g... | Mary is rich. | entailment | (((calm(fred)&~calm(fred)))<=>(?[X]:((kind(X)<~>generous(X)))))&
(![X]:((kind(X)<~>happy(X))<=>(calm(X)|kind(X))))&
((?[X]:((strong(X)|old(X))))=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((strong(X)|wise(X))<=>patient(X)))&
((?[X]:((~rich(X)|~generous(X))))=>(~old(alice)))&
((?[X]:((strong(X)|patient(X))))<=>((curious(... | rich(mary) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7866460184995849937250341
% SZS output start Proof for 7866460184995849937250341
5. ? [X0] : (~generous(X0) | ~rich(X0)) => ~old(alice) [input p4]
14. ! [X0] : ((~rich(X0) <~> rich(X0)) <=> (old(X0) & ~wise(X0))) [input p13]
21. ~rich(mary) [input hypothesis]
25. ~old(alice) | ! [X0] : (g... | 0 |
If someone is quiet then susan is either kind or quiet and vice versa.
Everyone who is not creative or humble is not happy or not humble and vice versa.
If lucy is humble then someone is not wise and vice versa.
Everyone who is funny or not funny is not calm or not patient and vice versa.
If someone is not happy then s... | Lucy is not humble. | contradiction | ((?[X]:(quiet(X)))<=>((kind(susan)<~>quiet(susan))))&
(![X]:((~creative(X)|humble(X))<=>(~happy(X)|~humble(X))))&
((humble(lucy))<=>(?[X]:(~wise(X))))&
(![X]:((funny(X)|~funny(X))<=>(~calm(X)|~patient(X))))&
((?[X]:(~happy(X)))=>(?[X]:((~funny(X)&~happy(X)))))&
(![X]:((calm(X)|~humble(X))=>(~quiet(X)<~>rich(X))))&
((?[... | ~humble(lucy) | [
"p2",
"p9",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4203047060136572152849205
% SZS output start Proof for 4203047060136572152849205
3. humble(lucy) <=> ? [X0] : ~wise(X0) [input p2]
10. ? [X0] : (~calm(X0) | ~strong(X0)) => ? [X0] : (~curious(X0) & brave(X0)) [input p9]
14. ! [X0] : ((wise(X0) <~> ~brave(X0)) => (generous(X0) & curious(X0... | 0 |
Everyone who is both curious and not kind is both not kind and funny and vice versa.
If john is either not kind or not old then paul is rich or not happy and vice versa.
Everyone who is either patient or not wise is rich or quiet.
Everyone who is calm or not happy is quiet.
Everyone who is not happy is both not generou... | Fred is creative. | neutral | (![X]:((curious(X)&~kind(X))<=>(~kind(X)&funny(X))))&
(((~kind(john)<~>~old(john)))<=>((rich(paul)|~happy(paul))))&
(![X]:((patient(X)<~>~wise(X))=>(rich(X)|quiet(X))))&
(![X]:((calm(X)|~happy(X))=>quiet(X)))&
(![X]:(~happy(X)<=>(~generous(X)&~tall(X))))&
(![X]:(~creative(X)<=>calm(X)))&
(((~creative(susan)|~wise(susan... | creative(fred) | [] | null | 0 |
If someone is both not strong and happy then someone is both happy and strong.
If someone is both not generous and generous then susan is kind or not generous and vice versa.
Everyone who is not patient is both creative and not funny.
If someone is patient then lucy is both funny and humble and vice versa.
Everyone who... | Alice is generous. | contradiction | ((?[X]:((~strong(X)&happy(X))))=>(?[X]:((happy(X)&strong(X)))))&
((?[X]:((~generous(X)&generous(X))))<=>((kind(susan)|~generous(susan))))&
(![X]:(~patient(X)=>(creative(X)&~funny(X))))&
((?[X]:(patient(X)))<=>((funny(lucy)&humble(lucy))))&
(![X]:(generous(X)=>(~happy(X)|~tall(X))))&
(![X]:((~kind(X)&~calm(X))<=>(humble... | generous(alice) | [
"p6",
"p10",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 484735184471165279766989
% SZS output start Proof for 484735184471165279766989
7. ! [X0] : ((~patient(X0) | brave(X0)) <=> (~wise(X0) & ~generous(X0))) [input p6]
11. ! [X0] : ((calm(X0) | strong(X0)) => (rich(X0) & old(X0))) [input p10]
13. ! [X0] : (~calm(X0) => (brave(X0) <~> old(X0)))... | 0 |
If paul is quiet then mary is creative and vice versa.
If someone is not happy or tall then susan is both not generous and wise and vice versa.
If paul is not creative or not patient then someone is not creative or strong and vice versa.
Everyone who is not humble or not generous is humble and vice versa.
Everyone who ... | Mary is not wise. | contradiction | ((quiet(paul))<=>(creative(mary)))&
((?[X]:((~happy(X)|tall(X))))<=>((~generous(susan)&wise(susan))))&
(((~creative(paul)|~patient(paul)))<=>(?[X]:((~creative(X)|strong(X)))))&
(![X]:((~humble(X)|~generous(X))<=>humble(X)))&
(![X]:(humble(X)=>(kind(X)|~strong(X))))&
((humble(lucy))<=>(?[X]:((~creative(X)&~curious(X))))... | ~wise(mary) | [
"p3",
"p4",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3506561987898923916960073
% SZS output start Proof for 3506561987898923916960073
4. ! [X0] : ((~generous(X0) | ~humble(X0)) <=> humble(X0)) [input p3]
5. ! [X0] : (humble(X0) => (~strong(X0) | kind(X0))) [input p4]
10. ! [X0] : (calm(X0) <=> ~kind(X0)) [input p9]
11. (~curious(susan) | ~g... | 0 |
Everyone who is either not happy or not tall is brave and vice versa.
Everyone who is both calm and generous is strong or not brave.
If someone is both not funny and not happy then paul is both not patient and not creative and vice versa.
If someone is either brave or not brave then john is both not tall and not old an... | Paul is tall. | neutral | (![X]:((~happy(X)<~>~tall(X))<=>brave(X)))&
(![X]:((calm(X)&generous(X))=>(strong(X)|~brave(X))))&
((?[X]:((~funny(X)&~happy(X))))<=>((~patient(paul)&~creative(paul))))&
((?[X]:((brave(X)<~>~brave(X))))<=>((~tall(john)&~old(john))))&
(![X]:((~wise(X)<~>~curious(X))=>(creative(X)<~>~funny(X))))&
(![X]:((~curious(X)|~ric... | tall(paul) | [] | null | 0 |
Everyone who is wise is either kind or not kind and vice versa.
If paul is either patient or generous then someone is either tall or brave.
Everyone who is both not curious and not funny is curious or not curious.
Everyone who is either not kind or strong is either generous or not wise.
Everyone who is either not quiet... | Susan is tall. | contradiction | (![X]:(wise(X)<=>(kind(X)<~>~kind(X))))&
(((patient(paul)<~>generous(paul)))=>(?[X]:((tall(X)<~>brave(X)))))&
(![X]:((~curious(X)&~funny(X))=>(curious(X)|~curious(X))))&
(![X]:((~kind(X)<~>strong(X))=>(generous(X)<~>~wise(X))))&
(![X]:((~quiet(X)<~>old(X))<=>(quiet(X)&~rich(X))))&
((?[X]:((happy(X)|humble(X))))=>(?[X]:... | tall(susan) | [
"p0",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3683570294426894618685438
% SZS output start Proof for 3683570294426894618685438
1. ! [X0] : (wise(X0) <=> (kind(X0) <~> ~kind(X0))) [input p0]
12. ! [X0] : ((~calm(X0) | calm(X0)) <=> (strong(X0) & rich(X0))) [input p11]
16. ! [X0] : ((~wise(X0) <~> ~tall(X0)) <=> (strong(X0) | tall(X0))... | 0 |
Everyone who is either not wise or generous is not generous or not brave and vice versa. If mary is both not calm and happy then lucy is either not strong or funny. Everyone who is not generous or strong is either creative or not strong and vice versa. If someone is brave or old then lucy is not old. If alice is both t... | Fred is wise. | contradiction | (![X]:((~wise(X)<~>generous(X))<=>(~generous(X)|~brave(X))))&
(((~calm(mary)&happy(mary)))=>((~strong(lucy)<~>funny(lucy))))&
(![X]:((~generous(X)|strong(X))<=>(creative(X)<~>~strong(X))))&
((?[X]:((brave(X)|old(X))))=>(~old(lucy)))&
(((tall(alice)&~funny(alice)))<=>(?[X]:(~humble(X))))&
(((tall(susan)&happy(susan)))<=... | wise(fred) | [
"p0",
"p2",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8231937346524253343800952
% SZS output start Proof for 8231937346524253343800952
1. ! [X0] : ((~wise(X0) <~> generous(X0)) <=> (~brave(X0) | ~generous(X0))) [input p0]
3. ! [X0] : ((strong(X0) | ~generous(X0)) <=> (creative(X0) <~> ~strong(X0))) [input p2]
7. ! [X0] : ((generous(X0) | ~ri... | 0 |
Everyone who is both not quiet and not generous is either patient or rich and vice versa. Everyone who is generous or not funny is either calm or not brave. Everyone who is either brave or rich is not calm. Everyone who is not wise or brave is both happy and rich. If mary is funny then susan is both brave and not rich.... | Susan is happy. | entailment | (![X]:((~quiet(X)&~generous(X))<=>(patient(X)<~>rich(X))))&
(![X]:((generous(X)|~funny(X))=>(calm(X)<~>~brave(X))))&
(![X]:((brave(X)<~>rich(X))=>~calm(X)))&
(![X]:((~wise(X)|brave(X))=>(happy(X)&rich(X))))&
((funny(mary))=>((brave(susan)&~rich(susan))))&
(![X]:((~curious(X)<~>old(X))=>(rich(X)&~old(X))))&
(((~happy(al... | happy(susan) | [
"p1",
"p3",
"p7",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6533175685614109437427931
% SZS output start Proof for 6533175685614109437427931
2. ! [X0] : ((~funny(X0) | generous(X0)) => (calm(X0) <~> ~brave(X0))) [input p1]
4. ! [X0] : ((brave(X0) | ~wise(X0)) => (rich(X0) & happy(X0))) [input p3]
8. ! [X0] : (~quiet(X0) <=> brave(X0)) [input p7]
1... | 0 |
Everyone who is calm is either wise or tall and vice versa.
Everyone who is rich is both wise and not strong and vice versa.
Everyone who is either not old or not happy is not tall or wise.
Everyone who is either curious or not rich is both humble and not patient and vice versa.
Everyone who is humble is both not happy... | Alice is not tall. | entailment | (![X]:(calm(X)<=>(wise(X)<~>tall(X))))&
(![X]:(rich(X)<=>(wise(X)&~strong(X))))&
(![X]:((~old(X)<~>~happy(X))=>(~tall(X)|wise(X))))&
(![X]:((curious(X)<~>~rich(X))<=>(humble(X)&~patient(X))))&
(![X]:(humble(X)=>(~happy(X)&~old(X))))&
(![X]:(~creative(X)=>(curious(X)|kind(X))))&
((?[X]:((~old(X)<~>~humble(X))))=>((~gene... | ~tall(alice) | [
"p0",
"p9",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7422116484155016544241075
% SZS output start Proof for 7422116484155016544241075
1. ! [X0] : (calm(X0) <=> (wise(X0) <~> tall(X0))) [input p0]
10. ~wise(alice) <=> (brave(fred) | ~old(fred)) [input p9]
20. brave(fred) [input p19]
22. ~calm(alice) [input p21]
24. tall(alice) [input hypothe... | 0 |
Everyone who is not tall or happy is kind and vice versa.
If fred is not funny or strong then fred is both not brave and not quiet.
Everyone who is either patient or funny is both curious and humble.
If susan is both quiet and tall then lucy is not rich.
Everyone who is both creative and not tall is not quiet or not ge... | Lucy is not wise. | contradiction | (![X]:((~tall(X)|happy(X))<=>kind(X)))&
(((~funny(fred)|strong(fred)))=>((~brave(fred)&~quiet(fred))))&
(![X]:((patient(X)<~>funny(X))=>(curious(X)&humble(X))))&
(((quiet(susan)&tall(susan)))=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?... | ~wise(lucy) | [
"p0",
"p6",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1566488630222648655758332
% SZS output start Proof for 1566488630222648655758332
1. ! [X0] : ((happy(X0) | ~tall(X0)) <=> kind(X0)) [input p0]
7. ? [X0] : (~wise(X0) | ~creative(X0)) => (patient(lucy) & ~curious(lucy)) [input p6]
9. ! [X0] : ((~happy(X0) | tall(X0)) <=> (curious(X0) <~> w... | 0 |
If susan is not wise or not happy then paul is not calm and vice versa.
Everyone who is both wise and not generous is both quiet and kind and vice versa.
Everyone who is generous is strong.
Everyone who is either rich or not generous is either not happy or not generous and vice versa.
Everyone who is not patient or not... | Mary is kind. | entailment | (((~wise(susan)|~happy(susan)))<=>(~calm(paul)))&
(![X]:((wise(X)&~generous(X))<=>(quiet(X)&kind(X))))&
(![X]:(generous(X)=>strong(X)))&
(![X]:((rich(X)<~>~generous(X))<=>(~happy(X)<~>~generous(X))))&
(![X]:((~patient(X)|~funny(X))=>(~old(X)|~creative(X))))&
((?[X]:((~kind(X)&~humble(X))))=>(?[X]:(rich(X))))&
(![X]:((~... | kind(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4491652540550286033155945
% SZS output start Proof for 4491652540550286033155945
19. creative(mary) & kind(mary) [input p18]
25. ~kind(mary) [input hypothesis]
131. kind(mary) [cnf transformation 19]
139. ~kind(mary) [cnf transformation 25]
194. 11 <=> kind(mary) [avatar definition]
246. ... | 0 |
Everyone who is not creative or tall is not funny. If someone is both rich and not old then fred is both not creative and not patient and vice versa. Everyone who is either curious or tall is not happy and vice versa. If john is not strong or not kind then fred is both not happy and humble. Everyone who is not humble i... | Paul is not quiet. | neutral | (![X]:((~creative(X)|tall(X))=>~funny(X)))&
((?[X]:((rich(X)&~old(X))))<=>((~creative(fred)&~patient(fred))))&
(![X]:((curious(X)<~>tall(X))<=>~happy(X)))&
(((~strong(john)|~kind(john)))=>((~happy(fred)&humble(fred))))&
(![X]:(~humble(X)=>(wise(X)<~>rich(X))))&
(((generous(alice)&humble(alice)))=>(?[X]:((wise(X)|~humbl... | ~quiet(paul) | [] | null | 0 |
Everyone who is either tall or calm is both curious and not kind and vice versa. If someone is creative then someone is not humble and vice versa. If someone is either not quiet or wise then someone is both rich and not quiet and vice versa. Everyone who is not old or tall is both happy and not calm and vice versa. Eve... | Lucy is funny. | entailment | (![X]:((tall(X)<~>calm(X))<=>(curious(X)&~kind(X))))&
((?[X]:(creative(X)))<=>(?[X]:(~humble(X))))&
((?[X]:((~quiet(X)<~>wise(X))))<=>(?[X]:((rich(X)&~quiet(X)))))&
(![X]:((~old(X)|tall(X))<=>(happy(X)&~calm(X))))&
(![X]:((old(X)<~>~kind(X))=>(kind(X)&patient(X))))&
(![X]:(strong(X)=>(~funny(X)<~>~curious(X))))&
(![X]:... | funny(lucy) | [
"p1",
"p3",
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 464765940658376736735704
% SZS output start Proof for 464765940658376736735704
2. ? [X0] : creative(X0) <=> ? [X0] : ~humble(X0) [input p1]
4. ! [X0] : ((tall(X0) | ~old(X0)) <=> (~calm(X0) & happy(X0))) [input p3]
7. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> ~tall(X0)) [input p6]
8. ? [X0] :... | 0 |
Everyone who is creative or not happy is rich.
Everyone who is not quiet is wise.
If john is generous or not rich then mary is either quiet or patient.
If someone is not quiet or strong then john is old or not wise.
If someone is quiet or patient then paul is not humble and vice versa.
If someone is both humble and hap... | Alice is not curious. | contradiction | (![X]:((creative(X)|~happy(X))=>rich(X)))&
(![X]:(~quiet(X)=>wise(X)))&
(((generous(john)|~rich(john)))=>((quiet(mary)<~>patient(mary))))&
((?[X]:((~quiet(X)|strong(X))))=>((old(john)|~wise(john))))&
((?[X]:((quiet(X)|patient(X))))<=>(~humble(paul)))&
((?[X]:((humble(X)&happy(X))))<=>(?[X]:((curious(X)&~patient(X)))))&... | ~curious(alice) | [
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1144274759372198696333066
% SZS output start Proof for 1144274759372198696333066
11. ! [X0] : (~curious(X0) <=> (~strong(X0) & calm(X0))) [input p10]
12. ! [X0] : ((creative(X0) | calm(X0)) => (strong(X0) | quiet(X0))) [input p11]
14. ! [X0] : ((humble(X0) | quiet(X0)) <=> (~tall(X0) & ~c... | 0 |
Everyone who is both patient and not old is either calm or not brave and vice versa.
Everyone who is not tall is both wise and calm and vice versa.
Everyone who is both calm and patient is both not strong and funny.
Everyone who is either not patient or generous is both not quiet and calm and vice versa.
Everyone who i... | Alice is humble. | contradiction | (![X]:((patient(X)&~old(X))<=>(calm(X)<~>~brave(X))))&
(![X]:(~tall(X)<=>(wise(X)&calm(X))))&
(![X]:((calm(X)&patient(X))=>(~strong(X)&funny(X))))&
(![X]:((~patient(X)<~>generous(X))<=>(~quiet(X)&calm(X))))&
(![X]:((quiet(X)|~generous(X))<=>(~kind(X)<~>~humble(X))))&
(![X]:((brave(X)<~>curious(X))=>kind(X)))&
(![X]:((~... | humble(alice) | [
"p0",
"p1",
"p6",
"p11",
"p12",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3164906799858014383280882
% SZS output start Proof for 3164906799858014383280882
1. ! [X0] : ((~old(X0) & patient(X0)) <=> (calm(X0) <~> ~brave(X0))) [input p0]
2. ! [X0] : (~tall(X0) <=> (calm(X0) & wise(X0))) [input p1]
7. ! [X0] : ((~quiet(X0) | ~brave(X0)) <=> (~old(X0) & ~patient(X0)... | 0 |
Everyone who is not strong or not tall is either not curious or kind and vice versa. If someone is either humble or tall then someone is kind. If someone is brave then someone is either brave or not funny and vice versa. Everyone who is brave or old is not wise or not brave and vice versa. If mary is not creative or no... | Lucy is generous. | contradiction | (![X]:((~strong(X)|~tall(X))<=>(~curious(X)<~>kind(X))))&
((?[X]:((humble(X)<~>tall(X))))=>(?[X]:(kind(X))))&
((?[X]:(brave(X)))<=>(?[X]:((brave(X)<~>~funny(X)))))&
(![X]:((brave(X)|old(X))<=>(~wise(X)|~brave(X))))&
(((~creative(mary)|~kind(mary)))<=>((humble(john)|funny(john))))&
((?[X]:((humble(X)&~humble(X))))<=>((~... | generous(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6478760969352136196107556
% SZS output start Proof for 6478760969352136196107556
9. ! [X0] : ((~old(X0) <~> old(X0)) => ~generous(X0)) [input p8]
23. generous(lucy) [input hypothesis]
31. ! [X0] : (~generous(X0) | (~old(X0) <=> old(X0))) [ennf transformation 9]
56. ! [X0] : (~generous(X0)... | 0 |
Everyone who is both tall and not generous is not creative. Everyone who is either curious or rich is generous or not funny and vice versa. Everyone who is either not funny or curious is either tall or not funny. If fred is both wise and kind then john is both not brave and not patient and vice versa. If john is both r... | Alice is not patient. | neutral | (![X]:((tall(X)&~generous(X))=>~creative(X)))&
(![X]:((curious(X)<~>rich(X))<=>(generous(X)|~funny(X))))&
(![X]:((~funny(X)<~>curious(X))=>(tall(X)<~>~funny(X))))&
(((wise(fred)&kind(fred)))<=>((~brave(john)&~patient(john))))&
(((rich(john)&~creative(john)))<=>(~tall(lucy)))&
((?[X]:((~funny(X)|wise(X))))<=>(?[X]:(brav... | ~patient(alice) | [] | null | 0 |
Everyone who is both not brave and creative is humble or not patient.
Everyone who is both rich and not patient is both not old and brave and vice versa.
Everyone who is rich is either not brave or brave.
If someone is both not happy and rich then paul is humble and vice versa.
If john is both not patient and not old t... | Fred is quiet. | neutral | (![X]:((~brave(X)&creative(X))=>(humble(X)|~patient(X))))&
(![X]:((rich(X)&~patient(X))<=>(~old(X)&brave(X))))&
(![X]:(rich(X)=>(~brave(X)<~>brave(X))))&
((?[X]:((~happy(X)&rich(X))))<=>(humble(paul)))&
(((~patient(john)&~old(john)))<=>(?[X]:((wise(X)&~patient(X)))))&
((?[X]:((quiet(X)|~brave(X))))=>(?[X]:(~strong(X)))... | quiet(fred) | [] | null | 0 |
If fred is both not calm and creative then alice is not patient and vice versa. If someone is both not strong and quiet then lucy is old and vice versa. Everyone who is both not wise and quiet is curious or not kind. If someone is both not strong and not happy then someone is not kind or not quiet. Everyone who is not ... | John is creative. | neutral | (((~calm(fred)&creative(fred)))<=>(~patient(alice)))&
((?[X]:((~strong(X)&quiet(X))))<=>(old(lucy)))&
(![X]:((~wise(X)&quiet(X))=>(curious(X)|~kind(X))))&
((?[X]:((~strong(X)&~happy(X))))=>(?[X]:((~kind(X)|~quiet(X)))))&
(![X]:(~tall(X)=>(funny(X)<~>happy(X))))&
(![X]:((humble(X)|~strong(X))=>(~funny(X)&patient(X))))&
... | creative(john) | [] | null | 0 |
Everyone who is either not strong or not calm is brave or not kind and vice versa.
Everyone who is either creative or not old is both generous and not tall and vice versa.
Everyone who is not funny is either quiet or not brave and vice versa.
If someone is not funny or tall then someone is both not brave and not kind a... | Lucy is not humble. | neutral | (![X]:((~strong(X)<~>~calm(X))<=>(brave(X)|~kind(X))))&
(![X]:((creative(X)<~>~old(X))<=>(generous(X)&~tall(X))))&
(![X]:(~funny(X)<=>(quiet(X)<~>~brave(X))))&
((?[X]:((~funny(X)|tall(X))))<=>(?[X]:((~brave(X)&~kind(X)))))&
(![X]:(~generous(X)<=>(patient(X)<~>curious(X))))&
((?[X]:((creative(X)&curious(X))))<=>((~funny... | ~humble(lucy) | [] | null | 0 |
If alice is rich or tall then alice is not kind. Everyone who is both curious and kind is either creative or quiet and vice versa. If someone is both not kind and rich then someone is quiet and vice versa. If someone is patient then someone is kind. Everyone who is rich is patient and vice versa. Everyone who is both h... | John is creative. | neutral | (((rich(alice)|tall(alice)))=>(~kind(alice)))&
(![X]:((curious(X)&kind(X))<=>(creative(X)<~>quiet(X))))&
((?[X]:((~kind(X)&rich(X))))<=>(?[X]:(quiet(X))))&
((?[X]:(patient(X)))=>(?[X]:(kind(X))))&
(![X]:(rich(X)<=>patient(X)))&
(![X]:((humble(X)&~rich(X))<=>~quiet(X)))&
(![X]:((~patient(X)|funny(X))=>(~curious(X)|~gene... | creative(john) | [] | null | 0 |
Everyone who is curious is not wise or not tall and vice versa.
Everyone who is either quiet or calm is either happy or not happy and vice versa.
If mary is either brave or old then susan is funny and vice versa.
Everyone who is strong is both creative and not calm.
Everyone who is both old and kind is not old and vice... | Alice is rich. | neutral | (![X]:(curious(X)<=>(~wise(X)|~tall(X))))&
(![X]:((quiet(X)<~>calm(X))<=>(happy(X)<~>~happy(X))))&
(((brave(mary)<~>old(mary)))<=>(funny(susan)))&
(![X]:(strong(X)=>(creative(X)&~calm(X))))&
(![X]:((old(X)&kind(X))<=>~old(X)))&
(((old(alice)<~>~funny(alice)))<=>(?[X]:((creative(X)&generous(X)))))&
(![X]:((~humble(X)<~>... | rich(alice) | [] | null | 0 |
Everyone who is humble or kind is either generous or not quiet and vice versa.
If paul is not funny then lucy is both happy and rich.
If mary is not kind or calm then someone is both not brave and quiet.
Everyone who is strong or not creative is humble and vice versa.
Everyone who is generous is not brave or not funny.... | Lucy is rich. | entailment | (![X]:((humble(X)|kind(X))<=>(generous(X)<~>~quiet(X))))&
((~funny(paul))=>((happy(lucy)&rich(lucy))))&
(((~kind(mary)|calm(mary)))=>(?[X]:((~brave(X)&quiet(X)))))&
(![X]:((strong(X)|~creative(X))<=>humble(X)))&
(![X]:(generous(X)=>(~brave(X)|~funny(X))))&
(![X]:((funny(X)&~kind(X))=>kind(X)))&
((?[X]:(~rich(X)))=>(?[X... | rich(lucy) | [
"p1",
"p5",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 902745346268986829522582
% SZS output start Proof for 902745346268986829522582
2. ~funny(paul) => (rich(lucy) & happy(lucy)) [input p1]
6. ! [X0] : ((~kind(X0) & funny(X0)) => kind(X0)) [input p5]
16. ? [X0] : (rich(X0) | curious(X0)) => (calm(paul) & ~kind(paul)) [input p15]
24. rich(joh... | 0 |
Everyone who is not curious is both brave and not happy and vice versa.
Everyone who is both wise and calm is both calm and not rich.
Everyone who is not creative is both not happy and rich.
If someone is generous or not quiet then someone is both curious and happy.
Everyone who is not rich or not wise is not patient o... | Lucy is happy. | entailment | (![X]:(~curious(X)<=>(brave(X)&~happy(X))))&
(![X]:((wise(X)&calm(X))=>(calm(X)&~rich(X))))&
(![X]:(~creative(X)=>(~happy(X)&rich(X))))&
((?[X]:((generous(X)|~quiet(X))))=>(?[X]:((curious(X)&happy(X)))))&
(![X]:((~rich(X)|~wise(X))<=>(~patient(X)|patient(X))))&
(![X]:(~tall(X)=>(funny(X)<~>rich(X))))&
((~brave(susan))=... | happy(lucy) | [
"p3",
"p8",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2492732633996370158173559
% SZS output start Proof for 2492732633996370158173559
4. ? [X0] : (~quiet(X0) | generous(X0)) => ? [X0] : (happy(X0) & curious(X0)) [input p3]
9. ! [X0] : (calm(X0) => (quiet(X0) & happy(X0))) [input p8]
13. ? [X0] : (~generous(X0) <~> curious(X0)) <=> (calm(luc... | 0 |
Everyone who is rich is not wise or not calm.
Everyone who is both not quiet and quiet is not wise and vice versa.
If fred is both not curious and not funny then paul is either humble or not generous.
Everyone who is not calm or not brave is not humble or humble.
Everyone who is both patient and humble is not strong or... | John is not wise. | contradiction | (![X]:(rich(X)=>(~wise(X)|~calm(X))))&
(![X]:((~quiet(X)&quiet(X))<=>~wise(X)))&
(((~curious(fred)&~funny(fred)))=>((humble(paul)<~>~generous(paul))))&
(![X]:((~calm(X)|~brave(X))=>(~humble(X)|humble(X))))&
(![X]:((patient(X)&humble(X))<=>(~strong(X)|~kind(X))))&
((?[X]:((~creative(X)&~calm(X))))=>(?[X]:((humble(X)<~>q... | ~wise(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7031054030648518452439968
% SZS output start Proof for 7031054030648518452439968
2. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> ~wise(X0)) [input p1]
24. ~wise(john) [input hypothesis]
42. ! [X0] : (((quiet(X0) & ~quiet(X0)) | wise(X0)) & (~wise(X0) | (~quiet(X0) | quiet(X0)))) [nnf transforma... | 0 |
Everyone who is both tall and strong is not creative or rich and vice versa. If fred is both tall and rich then someone is either humble or wise and vice versa. Everyone who is old is humble and vice versa. If someone is both not brave and not patient then someone is both not happy and not old. Everyone who is calm or ... | Fred is tall. | entailment | (![X]:((tall(X)&strong(X))<=>(~creative(X)|rich(X))))&
(((tall(fred)&rich(fred)))<=>(?[X]:((humble(X)<~>wise(X)))))&
(![X]:(old(X)<=>humble(X)))&
((?[X]:((~brave(X)&~patient(X))))=>(?[X]:((~happy(X)&~old(X)))))&
(![X]:((calm(X)|brave(X))<=>(~humble(X)<~>rich(X))))&
(![X]:((~curious(X)&~rich(X))<=>(curious(X)|~generous(... | tall(fred) | [
"p0",
"p2",
"p4",
"p5",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6652266811750335852388008
% SZS output start Proof for 6652266811750335852388008
1. ! [X0] : ((strong(X0) & tall(X0)) <=> (rich(X0) | ~creative(X0))) [input p0]
3. ! [X0] : (old(X0) <=> humble(X0)) [input p2]
5. ! [X0] : ((brave(X0) | calm(X0)) <=> (~humble(X0) <~> rich(X0))) [input p4]
6... | 0 |
If someone is both not happy and not old then lucy is either not old or not kind and vice versa.
If someone is not calm or not funny then mary is old or not humble and vice versa.
Everyone who is either patient or not happy is both not calm and not patient and vice versa.
Everyone who is both humble and not creative is... | Mary is tall. | entailment | ((?[X]:((~happy(X)&~old(X))))<=>((~old(lucy)<~>~kind(lucy))))&
((?[X]:((~calm(X)|~funny(X))))<=>((old(mary)|~humble(mary))))&
(![X]:((patient(X)<~>~happy(X))<=>(~calm(X)&~patient(X))))&
(![X]:((humble(X)&~creative(X))<=>strong(X)))&
(((~kind(susan)|~brave(susan)))=>(?[X]:((tall(X)&~brave(X)))))&
(![X]:((patient(X)<~>~t... | tall(mary) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4819487292783269308458048
% SZS output start Proof for 4819487292783269308458048
6. ! [X0] : ((patient(X0) <~> ~tall(X0)) <=> (creative(X0) | patient(X0))) [input p5]
9. ! [X0] : (patient(X0) <=> (~tall(X0) | ~creative(X0))) [input p8]
24. ~tall(mary) [input hypothesis]
47. ! [X0] : ((((t... | 0 |
Everyone who is humble or quiet is both not calm and funny and vice versa.
Everyone who is strong is either not creative or happy.
If fred is both patient and funny then someone is either tall or strong and vice versa.
If someone is both calm and happy then mary is both wise and generous and vice versa.
If paul is not ... | Fred is strong. | contradiction | (![X]:((humble(X)|quiet(X))<=>(~calm(X)&funny(X))))&
(![X]:(strong(X)=>(~creative(X)<~>happy(X))))&
(((patient(fred)&funny(fred)))<=>(?[X]:((tall(X)<~>strong(X)))))&
((?[X]:((calm(X)&happy(X))))<=>((wise(mary)&generous(mary))))&
(((~calm(paul)|~brave(paul)))<=>(?[X]:((quiet(X)&~wise(X)))))&
(![X]:(~rich(X)<=>tall(X)))&... | strong(fred) | [
"p5",
"p6",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7596646686667362205138068
% SZS output start Proof for 7596646686667362205138068
6. ! [X0] : (~rich(X0) <=> tall(X0)) [input p5]
7. ! [X0] : (~tall(X0) <=> (patient(X0) | creative(X0))) [input p6]
13. ! [X0] : (tall(X0) => (~funny(X0) & ~wise(X0))) [input p12]
15. ! [X0] : ((patient(X0) |... | 0 |
Everyone who is not quiet is not tall or wise.
Everyone who is either happy or quiet is either quiet or humble.
Everyone who is not curious or strong is not patient and vice versa.
If someone is not happy or rich then someone is calm or old.
Everyone who is quiet is strong or creative and vice versa.
Everyone who is ge... | John is not creative. | neutral | (![X]:(~quiet(X)=>(~tall(X)|wise(X))))&
(![X]:((happy(X)<~>quiet(X))=>(quiet(X)<~>humble(X))))&
(![X]:((~curious(X)|strong(X))<=>~patient(X)))&
((?[X]:((~happy(X)|rich(X))))=>(?[X]:((calm(X)|old(X)))))&
(![X]:(quiet(X)<=>(strong(X)|creative(X))))&
(![X]:(generous(X)<=>(quiet(X)<~>~funny(X))))&
(![X]:(~old(X)<=>(patient... | ~creative(john) | [] | null | 0 |
Everyone who is either curious or brave is tall or humble.
If john is both not generous and not patient then alice is not rich.
Everyone who is both not happy and not tall is both humble and old.
Everyone who is both not generous and calm is either not kind or old and vice versa.
Everyone who is not generous is both ki... | Lucy is old. | contradiction | (![X]:((curious(X)<~>brave(X))=>(tall(X)|humble(X))))&
(((~generous(john)&~patient(john)))=>(~rich(alice)))&
(![X]:((~happy(X)&~tall(X))=>(humble(X)&old(X))))&
(![X]:((~generous(X)&calm(X))<=>(~kind(X)<~>old(X))))&
(![X]:(~generous(X)<=>(kind(X)&~quiet(X))))&
(![X]:((humble(X)|generous(X))<=>(~wise(X)|~happy(X))))&
(((... | old(lucy) | [
"p3",
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 220248703364184827754770
% SZS output start Proof for 220248703364184827754770
4. ! [X0] : ((calm(X0) & ~generous(X0)) <=> (~kind(X0) <~> old(X0))) [input p3]
5. ! [X0] : (~generous(X0) <=> (~quiet(X0) & kind(X0))) [input p4]
12. ! [X0] : ((~quiet(X0) | happy(X0)) <=> quiet(X0)) [input p1... | 0 |
If mary is not wise then someone is old or not tall and vice versa.
Everyone who is brave or not generous is curious.
Everyone who is either quiet or not humble is both generous and wise and vice versa.
Everyone who is not wise or not generous is wise or curious.
Everyone who is tall or quiet is not kind.
Everyone who ... | John is not patient. | entailment | ((~wise(mary))<=>(?[X]:((old(X)|~tall(X)))))&
(![X]:((brave(X)|~generous(X))=>curious(X)))&
(![X]:((quiet(X)<~>~humble(X))<=>(generous(X)&wise(X))))&
(![X]:((~wise(X)|~generous(X))=>(wise(X)|curious(X))))&
(![X]:((tall(X)|quiet(X))=>~kind(X)))&
(![X]:((funny(X)&~humble(X))<=>(~curious(X)|curious(X))))&
((?[X]:(tall(X))... | ~patient(john) | [
"p1",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2082803577739085566240971
% SZS output start Proof for 2082803577739085566240971
2. ! [X0] : ((~generous(X0) | brave(X0)) => curious(X0)) [input p1]
6. ! [X0] : ((~humble(X0) & funny(X0)) <=> (curious(X0) | ~curious(X0))) [input p5]
10. ! [X0] : (~funny(X0) <=> (brave(X0) <~> curious(X0))... | 0 |
If someone is both strong and not funny then paul is wise or not kind.
Everyone who is both humble and calm is either humble or not old.
Everyone who is calm or not strong is both calm and quiet and vice versa.
Everyone who is either not strong or funny is strong or calm and vice versa.
If susan is tall then someone is... | Mary is patient. | neutral | ((?[X]:((strong(X)&~funny(X))))=>((wise(paul)|~kind(paul))))&
(![X]:((humble(X)&calm(X))=>(humble(X)<~>~old(X))))&
(![X]:((calm(X)|~strong(X))<=>(calm(X)&quiet(X))))&
(![X]:((~strong(X)<~>funny(X))<=>(strong(X)|calm(X))))&
((tall(susan))<=>(?[X]:(~calm(X))))&
((~generous(mary))<=>((~rich(lucy)<~>wise(lucy))))&
(![X]:((... | patient(mary) | [] | null | 0 |
If lucy is either not funny or strong then fred is both creative and calm and vice versa.
Everyone who is both not curious and not quiet is either not tall or not rich.
If mary is either generous or not creative then susan is either brave or not strong and vice versa.
Everyone who is both not funny and patient is both ... | Lucy is not happy. | contradiction | (((~funny(lucy)<~>strong(lucy)))<=>((creative(fred)&calm(fred))))&
(![X]:((~curious(X)&~quiet(X))=>(~tall(X)<~>~rich(X))))&
(((generous(mary)<~>~creative(mary)))<=>((brave(susan)<~>~strong(susan))))&
(![X]:((~funny(X)&patient(X))=>(rich(X)&tall(X))))&
(![X]:(brave(X)=>(~creative(X)|strong(X))))&
(![X]:(patient(X)=>(~ha... | ~happy(lucy) | [
"p3",
"p6",
"p7",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5146170192698574848185564
% SZS output start Proof for 5146170192698574848185564
4. ! [X0] : ((patient(X0) & ~funny(X0)) => (tall(X0) & rich(X0))) [input p3]
7. ? [X0] : (funny(X0) & ~old(X0)) => (~curious(alice) & ~creative(alice)) [input p6]
8. ! [X0] : ((~generous(X0) & generous(X0)) <... | 0 |
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