premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is curious then someone is both not creative and not calm and vice versa.
Everyone who is funny is funny or not old.
Everyone who is either humble or not rich is not rich or patient.
Everyone who is wise is either not strong or wise and vice versa.
Everyone who is not wise is humble and vice versa.
If lucy i... | John is not curious. | neutral | ((?[X]:(curious(X)))<=>(?[X]:((~creative(X)&~calm(X)))))&
(![X]:(funny(X)=>(funny(X)|~old(X))))&
(![X]:((humble(X)<~>~rich(X))=>(~rich(X)|patient(X))))&
(![X]:(wise(X)<=>(~strong(X)<~>wise(X))))&
(![X]:(~wise(X)<=>humble(X)))&
(((humble(lucy)&~patient(lucy)))=>(?[X]:((generous(X)|~curious(X)))))&
(![X]:((~happy(X)&~cal... | ~curious(john) | [] | null | 0 |
Everyone who is either not calm or not patient is generous or calm and vice versa.
Everyone who is brave or tall is both kind and strong and vice versa.
If alice is either not curious or not humble then someone is not old and vice versa.
If someone is not rich or not kind then fred is old.
If someone is kind or tall th... | Lucy is old. | neutral | (![X]:((~calm(X)<~>~patient(X))<=>(generous(X)|calm(X))))&
(![X]:((brave(X)|tall(X))<=>(kind(X)&strong(X))))&
(((~curious(alice)<~>~humble(alice)))<=>(?[X]:(~old(X))))&
((?[X]:((~rich(X)|~kind(X))))=>(old(fred)))&
((?[X]:((kind(X)|tall(X))))<=>(~happy(fred)))&
(((brave(fred)&quiet(fred)))=>((~wise(alice)&~strong(alice)... | old(lucy) | [] | null | 0 |
Everyone who is either humble or quiet is both rich and not patient.
Everyone who is not happy is brave or not generous and vice versa.
Everyone who is tall or calm is patient or wise.
Everyone who is either tall or funny is not funny or strong and vice versa.
Everyone who is wise is either not humble or calm and vice ... | Fred is humble. | entailment | (![X]:((humble(X)<~>quiet(X))=>(rich(X)&~patient(X))))&
(![X]:(~happy(X)<=>(brave(X)|~generous(X))))&
(![X]:((tall(X)|calm(X))=>(patient(X)|wise(X))))&
(![X]:((tall(X)<~>funny(X))<=>(~funny(X)|strong(X))))&
(![X]:(wise(X)<=>(~humble(X)<~>calm(X))))&
(![X]:((~tall(X)&~kind(X))<=>(curious(X)<~>funny(X))))&
(![X]:((~brave... | humble(fred) | [
"p1",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3670615334862849591658684
% SZS output start Proof for 3670615334862849591658684
2. ! [X0] : (~happy(X0) <=> (~generous(X0) | brave(X0))) [input p1]
10. ! [X0] : ((generous(X0) <~> ~generous(X0)) => (~kind(X0) | humble(X0))) [input p9]
11. ! [X0] : (~happy(X0) <=> ~strong(X0)) [input p10]... | 0 |
If john is both not patient and not strong then paul is either kind or not generous. Everyone who is both not patient and not strong is patient or not quiet. Everyone who is not generous is either generous or not brave. If paul is curious or not quiet then someone is kind or not generous and vice versa. If fred is quie... | Mary is creative. | contradiction | (((~patient(john)&~strong(john)))=>((kind(paul)<~>~generous(paul))))&
(![X]:((~patient(X)&~strong(X))=>(patient(X)|~quiet(X))))&
(![X]:(~generous(X)=>(generous(X)<~>~brave(X))))&
(((curious(paul)|~quiet(paul)))<=>(?[X]:((kind(X)|~generous(X)))))&
(((quiet(fred)|happy(fred)))=>(?[X]:((~patient(X)|brave(X)))))&
(![X]:((q... | creative(mary) | [
"p1",
"p3",
"p5",
"p6",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2061714086889350665569853
% SZS output start Proof for 2061714086889350665569853
2. ! [X0] : ((~strong(X0) & ~patient(X0)) => (~quiet(X0) | patient(X0))) [input p1]
4. (~quiet(paul) | curious(paul)) <=> ? [X0] : (~generous(X0) | kind(X0)) [input p3]
6. ! [X0] : ((quiet(X0) <~> creative(X0... | 0 |
If lucy is patient then someone is not curious or strong and vice versa. Everyone who is either not calm or quiet is not rich or not wise and vice versa. Everyone who is old or not funny is not kind or funny and vice versa. Everyone who is either humble or not generous is both quiet and not tall. Everyone who is brave ... | Alice is humble. | neutral | ((patient(lucy))<=>(?[X]:((~curious(X)|strong(X)))))&
(![X]:((~calm(X)<~>quiet(X))<=>(~rich(X)|~wise(X))))&
(![X]:((old(X)|~funny(X))<=>(~kind(X)|funny(X))))&
(![X]:((humble(X)<~>~generous(X))=>(quiet(X)&~tall(X))))&
(![X]:(brave(X)=>funny(X)))&
(![X]:((~humble(X)|creative(X))=>(~wise(X)<~>~strong(X))))&
(((~happy(lucy... | humble(alice) | [] | null | 0 |
Everyone who is curious is not happy. If susan is both tall and not kind then fred is both not wise and not rich and vice versa. If paul is both not wise and not happy then someone is both not funny and not rich. If someone is either humble or funny then fred is either not tall or not generous and vice versa. If john i... | Fred is not tall. | neutral | (![X]:(curious(X)=>~happy(X)))&
(((tall(susan)&~kind(susan)))<=>((~wise(fred)&~rich(fred))))&
(((~wise(paul)&~happy(paul)))=>(?[X]:((~funny(X)&~rich(X)))))&
((?[X]:((humble(X)<~>funny(X))))<=>((~tall(fred)<~>~generous(fred))))&
(((~strong(john)<~>~patient(john)))=>((~tall(mary)<~>~humble(mary))))&
((?[X]:(~patient(X)))... | ~tall(fred) | [] | null | 0 |
Everyone who is not calm or not quiet is either old or not kind.
Everyone who is kind or not generous is not kind or not old and vice versa.
If someone is not creative then fred is not curious.
If paul is rich or not creative then someone is either not tall or not creative.
If alice is not strong or not humble then ali... | John is generous. | contradiction | (![X]:((~calm(X)|~quiet(X))=>(old(X)<~>~kind(X))))&
(![X]:((kind(X)|~generous(X))<=>(~kind(X)|~old(X))))&
((?[X]:(~creative(X)))=>(~curious(fred)))&
(((rich(paul)|~creative(paul)))=>(?[X]:((~tall(X)<~>~creative(X)))))&
(((~strong(alice)|~humble(alice)))=>((rich(alice)|~curious(alice))))&
((?[X]:((wise(X)|generous(X))))... | generous(john) | [
"p1",
"p6",
"p11",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6410085986218428346649679
% SZS output start Proof for 6410085986218428346649679
2. ! [X0] : ((~generous(X0) | kind(X0)) <=> (~old(X0) | ~kind(X0))) [input p1]
7. ! [X0] : ((~wise(X0) | creative(X0)) <=> rich(X0)) [input p6]
12. ! [X0] : (creative(X0) <=> (humble(X0) <~> ~wise(X0))) [inpu... | 0 |
If john is patient then lucy is not quiet.
Everyone who is both brave and rich is calm or not patient.
Everyone who is both calm and curious is either not patient or rich.
Everyone who is both humble and not tall is quiet and vice versa.
If someone is not strong then someone is both quiet and not rich and vice versa.
E... | Fred is strong. | neutral | ((patient(john))=>(~quiet(lucy)))&
(![X]:((brave(X)&rich(X))=>(calm(X)|~patient(X))))&
(![X]:((calm(X)&curious(X))=>(~patient(X)<~>rich(X))))&
(![X]:((humble(X)&~tall(X))<=>quiet(X)))&
((?[X]:(~strong(X)))<=>(?[X]:((quiet(X)&~rich(X)))))&
(![X]:(old(X)=>(~wise(X)|patient(X))))&
((?[X]:((~happy(X)&curious(X))))=>(?[X]:(... | strong(fred) | [] | null | 0 |
Everyone who is both not quiet and tall is not rich or curious.
If alice is both not tall and creative then someone is calm and vice versa.
If someone is quiet then someone is either not funny or strong.
Everyone who is both strong and not old is not rich or not happy and vice versa.
Everyone who is both brave and not ... | Alice is not rich. | contradiction | (![X]:((~quiet(X)&tall(X))=>(~rich(X)|curious(X))))&
(((~tall(alice)&creative(alice)))<=>(?[X]:(calm(X))))&
((?[X]:(quiet(X)))=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((strong(X)&~old(X))<=>(~rich(X)|~happy(X))))&
(![X]:((brave(X)&~tall(X))<=>(generous(X)|~calm(X))))&
(![X]:((~generous(X)&quiet(X))<=>(generous(X)<~>~... | ~rich(alice) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 424574374303961038858334
% SZS output start Proof for 424574374303961038858334
2. (creative(alice) & ~tall(alice)) <=> ? [X0] : calm(X0) [input p1]
4. ! [X0] : ((~old(X0) & strong(X0)) <=> (~happy(X0) | ~rich(X0))) [input p3]
5. ! [X0] : ((~tall(X0) & brave(X0)) <=> (~calm(X0) | generous(... | 0 |
If someone is not old or not calm then mary is both not curious and quiet.
Everyone who is not generous or creative is either not kind or humble.
If paul is calm then someone is either strong or funny.
Everyone who is not calm or rich is either wise or patient.
Everyone who is either funny or not humble is both curious... | John is humble. | neutral | ((?[X]:((~old(X)|~calm(X))))=>((~curious(mary)&quiet(mary))))&
(![X]:((~generous(X)|creative(X))=>(~kind(X)<~>humble(X))))&
((calm(paul))=>(?[X]:((strong(X)<~>funny(X)))))&
(![X]:((~calm(X)|rich(X))=>(wise(X)<~>patient(X))))&
(![X]:((funny(X)<~>~humble(X))=>(curious(X)&happy(X))))&
(![X]:(~calm(X)=>(~generous(X)&rich(X... | humble(john) | [] | null | 0 |
If lucy is calm then someone is wise or not wise and vice versa.
Everyone who is either not patient or not quiet is either humble or not funny and vice versa.
Everyone who is not rich is both funny and not quiet and vice versa.
Everyone who is either strong or not tall is either rich or strong.
Everyone who is curious ... | Alice is not kind. | entailment | ((calm(lucy))<=>(?[X]:((wise(X)|~wise(X)))))&
(![X]:((~patient(X)<~>~quiet(X))<=>(humble(X)<~>~funny(X))))&
(![X]:(~rich(X)<=>(funny(X)&~quiet(X))))&
(![X]:((strong(X)<~>~tall(X))=>(rich(X)<~>strong(X))))&
(![X]:((curious(X)|kind(X))<=>calm(X)))&
((?[X]:((generous(X)|rich(X))))=>(?[X]:((~kind(X)&tall(X)))))&
(![X]:((cu... | ~kind(alice) | [
"p2",
"p9",
"p11",
"p15",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2756294070858156778610979
% SZS output start Proof for 2756294070858156778610979
3. ! [X0] : (~rich(X0) <=> (~quiet(X0) & funny(X0))) [input p2]
10. ! [X0] : ((creative(X0) & ~generous(X0)) <=> ~funny(X0)) [input p9]
12. ! [X0] : ((strong(X0) <~> kind(X0)) => rich(X0)) [input p11]
16. ! [... | 0 |
If someone is both not patient and not happy then mary is happy and vice versa.
If susan is wise or not curious then someone is creative.
Everyone who is both not old and quiet is either strong or not funny.
If someone is either not generous or not funny then mary is either happy or creative.
Everyone who is not tall o... | Mary is not curious. | contradiction | ((?[X]:((~patient(X)&~happy(X))))<=>(happy(mary)))&
(((wise(susan)|~curious(susan)))=>(?[X]:(creative(X))))&
(![X]:((~old(X)&quiet(X))=>(strong(X)<~>~funny(X))))&
((?[X]:((~generous(X)<~>~funny(X))))=>((happy(mary)<~>creative(mary))))&
(![X]:((~tall(X)|old(X))=>(~brave(X)&curious(X))))&
(((~happy(mary)&~brave(mary)))<=... | ~curious(mary) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5164897199154306832405148
% SZS output start Proof for 5164897199154306832405148
7. ? [X0] : (~creative(X0) | generous(X0)) <=> (rich(paul) & ~rich(paul)) [input p6]
10. ! [X0] : ((old(X0) | ~curious(X0)) => (curious(X0) | ~creative(X0))) [input p9]
24. ~curious(mary) [input hypothesis]
3... | 0 |
If mary is both not rich and not humble then lucy is either wise or patient and vice versa.
Everyone who is tall or not humble is not generous.
Everyone who is either not generous or old is both not kind and patient.
Everyone who is both not patient and not quiet is funny or not strong and vice versa.
Everyone who is b... | John is happy. | entailment | (((~rich(mary)&~humble(mary)))<=>((wise(lucy)<~>patient(lucy))))&
(![X]:((tall(X)|~humble(X))=>~generous(X)))&
(![X]:((~generous(X)<~>old(X))=>(~kind(X)&patient(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(funny(X)|~strong(X))))&
(![X]:((patient(X)&~quiet(X))=>(tall(X)|kind(X))))&
(![X]:((~happy(X)<~>wise(X))=>(wise(X)&bra... | happy(john) | [
"p1",
"p2",
"p9",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5176068227888911086706457
% SZS output start Proof for 5176068227888911086706457
2. ! [X0] : ((~humble(X0) | tall(X0)) => ~generous(X0)) [input p1]
3. ! [X0] : ((~generous(X0) <~> old(X0)) => (patient(X0) & ~kind(X0))) [input p2]
10. ! [X0] : ((quiet(X0) <~> ~kind(X0)) <=> (~kind(X0) | ol... | 0 |
If someone is not old then alice is creative or wise and vice versa.
Everyone who is not wise is humble and vice versa.
If lucy is both humble and not patient then someone is generous or not curious.
Everyone who is both not happy and not calm is both not wise and rich.
Everyone who is brave is creative or patient and ... | Alice is not generous. | neutral | ((?[X]:(~old(X)))<=>((creative(alice)|wise(alice))))&
(![X]:(~wise(X)<=>humble(X)))&
(((humble(lucy)&~patient(lucy)))=>(?[X]:((generous(X)|~curious(X)))))&
(![X]:((~happy(X)&~calm(X))=>(~wise(X)&rich(X))))&
(![X]:(brave(X)<=>(creative(X)|patient(X))))&
(((~brave(lucy)<~>generous(lucy)))<=>((curious(lucy)&calm(lucy))))&... | ~generous(alice) | [] | null | 0 |
If susan is wise or not calm then someone is creative.
Everyone who is both not tall and not generous is not calm and vice versa.
If someone is old then someone is either not kind or strong.
If someone is creative then fred is patient.
Everyone who is either tall or creative is either calm or not funny and vice versa.
... | Alice is kind. | contradiction | (((wise(susan)|~calm(susan)))=>(?[X]:(creative(X))))&
(![X]:((~tall(X)&~generous(X))<=>~calm(X)))&
((?[X]:(old(X)))=>(?[X]:((~kind(X)<~>strong(X)))))&
((?[X]:(creative(X)))=>(patient(fred)))&
(![X]:((tall(X)<~>creative(X))<=>(calm(X)<~>~funny(X))))&
(![X]:(kind(X)=>(~quiet(X)<~>brave(X))))&
(![X]:(funny(X)=>generous(X)... | kind(alice) | [
"p3",
"p5",
"p9",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8161578433879569243199026
% SZS output start Proof for 8161578433879569243199026
4. ? [X0] : creative(X0) => patient(fred) [input p3]
6. ! [X0] : (kind(X0) => (~quiet(X0) <~> brave(X0))) [input p5]
10. (happy(alice) & creative(alice)) <=> ? [X0] : patient(X0) [input p9]
11. ! [X0] : (~bra... | 0 |
If john is both humble and funny then john is either not generous or not humble. If someone is not brave then lucy is both not curious and not kind and vice versa. Everyone who is both rich and not creative is quiet and vice versa. If mary is either not creative or patient then someone is both not rich and not humble a... | Paul is not brave. | entailment | (((humble(john)&funny(john)))=>((~generous(john)<~>~humble(john))))&
((?[X]:(~brave(X)))<=>((~curious(lucy)&~kind(lucy))))&
(![X]:((rich(X)&~creative(X))<=>quiet(X)))&
(((~creative(mary)<~>patient(mary)))<=>(?[X]:((~rich(X)&~humble(X)))))&
((?[X]:((~wise(X)|calm(X))))<=>((tall(paul)&generous(paul))))&
((curious(mary))<... | ~brave(paul) | [
"p4",
"p7",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3169315105997243738502615
% SZS output start Proof for 3169315105997243738502615
5. ? [X0] : (calm(X0) | ~wise(X0)) <=> (generous(paul) & tall(paul)) [input p4]
8. ? [X0] : (~calm(X0) <~> old(X0)) <=> (kind(alice) & patient(alice)) [input p7]
13. ! [X0] : ((~patient(X0) & curious(X0)) <=>... | 0 |
If someone is humble or generous then alice is not humble or old.
Everyone who is both not happy and generous is either not brave or brave.
If paul is both not kind and not rich then someone is both calm and curious.
If paul is either not creative or not humble then mary is both not kind and brave and vice versa.
Every... | Paul is not quiet. | neutral | ((?[X]:((humble(X)|generous(X))))=>((~humble(alice)|old(alice))))&
(![X]:((~happy(X)&generous(X))=>(~brave(X)<~>brave(X))))&
(((~kind(paul)&~rich(paul)))=>(?[X]:((calm(X)&curious(X)))))&
(((~creative(paul)<~>~humble(paul)))<=>((~kind(mary)&brave(mary))))&
(![X]:(wise(X)=>(~happy(X)&tall(X))))&
(((old(alice)<~>rich(alic... | ~quiet(paul) | [] | null | 0 |
Everyone who is both not creative and not curious is humble and vice versa.
If paul is both not calm and not strong then someone is either not patient or old and vice versa.
Everyone who is not calm is not old and vice versa.
Everyone who is not humble is either calm or old.
Everyone who is not generous or not quiet is... | Susan is calm. | entailment | (![X]:((~creative(X)&~curious(X))<=>humble(X)))&
(((~calm(paul)&~strong(paul)))<=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:(~calm(X)<=>~old(X)))&
(![X]:(~humble(X)=>(calm(X)<~>old(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(~humble(X)&~funny(X))))&
(![X]:((creative(X)|~creative(X))=>(wise(X)&old(X))))&
((?[X]:((curious(X)... | calm(susan) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5996317826614667454993765
% SZS output start Proof for 5996317826614667454993765
3. ! [X0] : (~calm(X0) <=> ~old(X0)) [input p2]
6. ! [X0] : ((~creative(X0) | creative(X0)) => (old(X0) & wise(X0))) [input p5]
18. ~calm(susan) [input hypothesis]
23. ! [X0] : ((old(X0) & wise(X0)) | (creati... | 0 |
If someone is either rich or not curious then someone is creative and vice versa.
Everyone who is not creative or creative is both calm and strong.
Everyone who is both not strong and humble is not humble.
Everyone who is creative or strong is both not wise and creative and vice versa.
If mary is both kind and not humb... | Paul is generous. | entailment | ((?[X]:((rich(X)<~>~curious(X))))<=>(?[X]:(creative(X))))&
(![X]:((~creative(X)|creative(X))=>(calm(X)&strong(X))))&
(![X]:((~strong(X)&humble(X))=>~humble(X)))&
(![X]:((creative(X)|strong(X))<=>(~wise(X)&creative(X))))&
(((kind(mary)&~humble(mary)))=>(~patient(paul)))&
(![X]:((curious(X)&~creative(X))=>(~patient(X)|br... | generous(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4276248698110343885458575
% SZS output start Proof for 4276248698110343885458575
12. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (tall(X0) & generous(X0))) [input p11]
25. ~generous(paul) [input hypothesis]
61. ! [X0] : (((curious(X0) | ~curious(X0)) | (~tall(X0) | ~generous(X0))) & ((tall... | 0 |
Everyone who is not curious or not strong is either brave or generous. Everyone who is not calm or not patient is not kind or wise. Everyone who is not wise or humble is not wise or tall and vice versa. Everyone who is not kind is happy or old and vice versa. If mary is not calm or rich then someone is either not kind ... | John is kind. | contradiction | (![X]:((~curious(X)|~strong(X))=>(brave(X)<~>generous(X))))&
(![X]:((~calm(X)|~patient(X))=>(~kind(X)|wise(X))))&
(![X]:((~wise(X)|humble(X))<=>(~wise(X)|tall(X))))&
(![X]:(~kind(X)<=>(happy(X)|old(X))))&
(((~calm(mary)|rich(mary)))=>(?[X]:((~kind(X)<~>~calm(X)))))&
(((curious(alice)<~>~old(alice)))=>(?[X]:((~rich(X)<~... | kind(john) | [
"p1",
"p2",
"p3",
"p6",
"p8",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2432831390071591653918729
% SZS output start Proof for 2432831390071591653918729
2. ! [X0] : ((~patient(X0) | ~calm(X0)) => (wise(X0) | ~kind(X0))) [input p1]
3. ! [X0] : ((humble(X0) | ~wise(X0)) <=> (tall(X0) | ~wise(X0))) [input p2]
4. ! [X0] : (~kind(X0) <=> (old(X0) | happy(X0))) [in... | 0 |
If someone is both not happy and strong then alice is both not patient and brave and vice versa. Everyone who is old is funny and vice versa. If john is funny then lucy is not generous or not humble and vice versa. Everyone who is both not generous and not curious is both happy and not patient and vice versa. Everyone ... | Lucy is kind. | contradiction | ((?[X]:((~happy(X)&strong(X))))<=>((~patient(alice)&brave(alice))))&
(![X]:(old(X)<=>funny(X)))&
((funny(john))<=>((~generous(lucy)|~humble(lucy))))&
(![X]:((~generous(X)&~curious(X))<=>(happy(X)&~patient(X))))&
(![X]:((brave(X)|~happy(X))=>(kind(X)&~calm(X))))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)... | kind(lucy) | [
"p1",
"p6",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 334084770324065677144123
% SZS output start Proof for 334084770324065677144123
2. ! [X0] : (old(X0) <=> funny(X0)) [input p1]
7. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p6]
9. ! [X0] : (~rich(X0) <=> (calm(X0) & ~calm(X0))) [input p8]
10. ? [X0] : (brave(X0) | humbl... | 0 |
Everyone who is both not rich and strong is not old or creative and vice versa.
Everyone who is either not wise or strong is both not quiet and not happy.
Everyone who is calm is either not wise or not humble.
Everyone who is either curious or brave is both not kind and rich and vice versa.
Everyone who is kind or not ... | Paul is not curious. | entailment | (![X]:((~rich(X)&strong(X))<=>(~old(X)|creative(X))))&
(![X]:((~wise(X)<~>strong(X))=>(~quiet(X)&~happy(X))))&
(![X]:(calm(X)=>(~wise(X)<~>~humble(X))))&
(![X]:((curious(X)<~>brave(X))<=>(~kind(X)&rich(X))))&
(![X]:((kind(X)|~funny(X))=>(~strong(X)&happy(X))))&
(![X]:(~curious(X)=>(~generous(X)<~>~patient(X))))&
(![X]:... | ~curious(paul) | [
"p4",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9142078083055862128822256
% SZS output start Proof for 9142078083055862128822256
5. ! [X0] : ((~funny(X0) | kind(X0)) => (happy(X0) & ~strong(X0))) [input p4]
11. ! [X0] : ((funny(X0) | creative(X0)) <=> (~humble(X0) & happy(X0))) [input p10]
12. ? [X0] : (humble(X0) & ~happy(X0)) <=> ? [... | 0 |
Everyone who is not generous or not funny is not quiet and vice versa.
Everyone who is creative is either not creative or patient and vice versa.
If john is not patient or patient then someone is both old and not rich and vice versa.
If mary is calm or kind then lucy is not generous or funny and vice versa.
Everyone wh... | Lucy is not happy. | entailment | (![X]:((~generous(X)|~funny(X))<=>~quiet(X)))&
(![X]:(creative(X)<=>(~creative(X)<~>patient(X))))&
(((~patient(john)|patient(john)))<=>(?[X]:((old(X)&~rich(X)))))&
(((calm(mary)|kind(mary)))<=>((~generous(lucy)|funny(lucy))))&
(![X]:((rich(X)|~funny(X))<=>creative(X)))&
(![X]:(quiet(X)<=>(wise(X)|~rich(X))))&
((?[X]:((... | ~happy(lucy) | [
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6824818372830608800269883
% SZS output start Proof for 6824818372830608800269883
2. ! [X0] : (creative(X0) <=> (~creative(X0) <~> patient(X0))) [input p1]
15. ! [X0] : (patient(X0) <=> (calm(X0) & ~happy(X0))) [input p14]
21. happy(lucy) [input hypothesis]
32. ! [X0] : ((creative(X0) | ((... | 0 |
If someone is either not tall or quiet then fred is patient and vice versa.
If someone is not patient then lucy is funny or not kind.
If someone is not humble then paul is funny and vice versa.
Everyone who is both strong and quiet is both not tall and not rich.
If someone is happy then someone is both not happy and no... | John is not humble. | contradiction | ((?[X]:((~tall(X)<~>quiet(X))))<=>(patient(fred)))&
((?[X]:(~patient(X)))=>((funny(lucy)|~kind(lucy))))&
((?[X]:(~humble(X)))<=>(funny(paul)))&
(![X]:((strong(X)&quiet(X))=>(~tall(X)&~rich(X))))&
((?[X]:(happy(X)))=>(?[X]:((~happy(X)&~humble(X)))))&
(![X]:(patient(X)<=>(~brave(X)|tall(X))))&
(![X]:((~strong(X)<~>~brave... | ~humble(john) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4066634144304662595810308
% SZS output start Proof for 4066634144304662595810308
3. ? [X0] : ~humble(X0) <=> funny(paul) [input p2]
15. ! [X0] : ((happy(X0) <~> ~happy(X0)) => (strong(X0) & ~funny(X0))) [input p14]
22. ~humble(john) [input hypothesis]
33. ! [X0] : ((strong(X0) & ~funny(X0... | 0 |
If someone is not happy then mary is wise or brave.
If someone is both not funny and funny then paul is patient.
If someone is either wise or curious then someone is either creative or happy and vice versa.
Everyone who is rich is either curious or tall.
If john is patient or not happy then someone is patient or humble... | Paul is wise. | contradiction | ((?[X]:(~happy(X)))=>((wise(mary)|brave(mary))))&
((?[X]:((~funny(X)&funny(X))))=>(patient(paul)))&
((?[X]:((wise(X)<~>curious(X))))<=>(?[X]:((creative(X)<~>happy(X)))))&
(![X]:(rich(X)=>(curious(X)<~>tall(X))))&
(((patient(john)|~happy(john)))<=>(?[X]:((patient(X)|humble(X)))))&
(![X]:(funny(X)=>~old(X)))&
(![X]:((~ki... | wise(paul) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5218915268442248070386139
% SZS output start Proof for 5218915268442248070386139
15. ! [X0] : ((generous(X0) <~> ~generous(X0)) => ~wise(X0)) [input p14]
25. wise(paul) [input hypothesis]
41. ! [X0] : (~wise(X0) | (generous(X0) <=> ~generous(X0))) [ennf transformation 15]
59. ! [X0] : (~w... | 0 |
Everyone who is not wise is either creative or strong and vice versa.
If someone is funny or not rich then someone is either not wise or not old.
Everyone who is both wise and patient is not happy and vice versa.
If someone is not funny then someone is either patient or creative.
Everyone who is humble is both curious ... | John is generous. | entailment | (![X]:(~wise(X)<=>(creative(X)<~>strong(X))))&
((?[X]:((funny(X)|~rich(X))))=>(?[X]:((~wise(X)<~>~old(X)))))&
(![X]:((wise(X)&patient(X))<=>~happy(X)))&
((?[X]:(~funny(X)))=>(?[X]:((patient(X)<~>creative(X)))))&
(![X]:(humble(X)=>(curious(X)&~wise(X))))&
((?[X]:((old(X)<~>~kind(X))))<=>((generous(susan)|quiet(susan))))... | generous(john) | [
"p0",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3498660125325494432928316
% SZS output start Proof for 3498660125325494432928316
1. ! [X0] : (~wise(X0) <=> (creative(X0) <~> strong(X0))) [input p0]
10. ! [X0] : ((wise(X0) | ~funny(X0)) => generous(X0)) [input p9]
13. ! [X0] : ((~creative(X0) | ~strong(X0)) => (generous(X0) | wise(X0)))... | 0 |
If someone is not rich then someone is both not creative and brave and vice versa. Everyone who is kind is either not quiet or kind and vice versa. If someone is not calm then mary is not humble or rich. Everyone who is humble or not funny is both funny and not strong. If paul is either calm or rich then lucy is both w... | Susan is not humble. | neutral | ((?[X]:(~rich(X)))<=>(?[X]:((~creative(X)&brave(X)))))&
(![X]:(kind(X)<=>(~quiet(X)<~>kind(X))))&
((?[X]:(~calm(X)))=>((~humble(mary)|rich(mary))))&
(![X]:((humble(X)|~funny(X))=>(funny(X)&~strong(X))))&
(((calm(paul)<~>rich(paul)))<=>((wise(lucy)&~tall(lucy))))&
((?[X]:(generous(X)))<=>(?[X]:(~humble(X))))&
(((~wise(m... | ~humble(susan) | [] | null | 0 |
If someone is happy then someone is both not generous and creative and vice versa.
Everyone who is not kind is not patient and vice versa.
Everyone who is both not kind and curious is both patient and not generous and vice versa.
Everyone who is not brave is both happy and not quiet.
Everyone who is either not curious ... | Fred is not curious. | entailment | ((?[X]:(happy(X)))<=>(?[X]:((~generous(X)&creative(X)))))&
(![X]:(~kind(X)<=>~patient(X)))&
(![X]:((~kind(X)&curious(X))<=>(patient(X)&~generous(X))))&
(![X]:(~brave(X)=>(happy(X)&~quiet(X))))&
(![X]:((~curious(X)<~>happy(X))=>(~creative(X)<~>~calm(X))))&
((?[X]:((tall(X)|calm(X))))<=>((~happy(fred)&~generous(fred))))&... | ~curious(fred) | [
"p1",
"p2",
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5650698497123142428108952
% SZS output start Proof for 5650698497123142428108952
2. ! [X0] : (~kind(X0) <=> ~patient(X0)) [input p1]
3. ! [X0] : ((curious(X0) & ~kind(X0)) <=> (~generous(X0) & patient(X0))) [input p2]
6. ? [X0] : (calm(X0) | tall(X0)) <=> (~generous(fred) & ~happy(fred)) ... | 0 |
Everyone who is either wise or happy is either quiet or creative and vice versa.
If susan is not creative then someone is tall.
Everyone who is not kind is wise or not kind.
Everyone who is either humble or not creative is not brave or not rich.
If paul is either not creative or brave then susan is not curious.
Everyon... | Mary is not quiet. | contradiction | (![X]:((wise(X)<~>happy(X))<=>(quiet(X)<~>creative(X))))&
((~creative(susan))=>(?[X]:(tall(X))))&
(![X]:(~kind(X)=>(wise(X)|~kind(X))))&
(![X]:((humble(X)<~>~creative(X))=>(~brave(X)|~rich(X))))&
(((~creative(paul)<~>brave(paul)))=>(~curious(susan)))&
(![X]:((~generous(X)<~>calm(X))=>(~kind(X)&calm(X))))&
(![X]:((quiet... | ~quiet(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1965521911948721960911306
% SZS output start Proof for 1965521911948721960911306
7. ! [X0] : ((calm(X0) & quiet(X0)) <=> (~brave(X0) <~> brave(X0))) [input p6]
22. ~quiet(mary) [input hypothesis]
47. ! [X0] : (((calm(X0) & quiet(X0)) | ((~brave(X0) | ~brave(X0)) & (brave(X0) | brave(X0)))... | 0 |
Everyone who is quiet is either not kind or humble. Everyone who is not funny is both not rich and curious. Everyone who is both happy and not creative is not happy and vice versa. If someone is either not old or creative then someone is both old and not old. Everyone who is both creative and funny is curious. Everyone... | John is curious. | entailment | (![X]:(quiet(X)=>(~kind(X)<~>humble(X))))&
(![X]:(~funny(X)=>(~rich(X)&curious(X))))&
(![X]:((happy(X)&~creative(X))<=>~happy(X)))&
((?[X]:((~old(X)<~>creative(X))))=>(?[X]:((old(X)&~old(X)))))&
(![X]:((creative(X)&funny(X))=>curious(X)))&
(![X]:((tall(X)<~>~curious(X))<=>(generous(X)&~strong(X))))&
(((~curious(lucy)|~... | curious(john) | [
"p1",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5253119081251624038437614
% SZS output start Proof for 5253119081251624038437614
2. ! [X0] : (~funny(X0) => (curious(X0) & ~rich(X0))) [input p1]
3. ! [X0] : ((~creative(X0) & happy(X0)) <=> ~happy(X0)) [input p2]
5. ! [X0] : ((funny(X0) & creative(X0)) => curious(X0)) [input p4]
20. ~cur... | 0 |
If someone is humble then someone is either not generous or strong and vice versa. If john is both not generous and humble then someone is curious. If someone is either quiet or not happy then someone is either not brave or brave. If susan is not happy then lucy is either not calm or old. Everyone who is curious is eit... | John is generous. | neutral | ((?[X]:(humble(X)))<=>(?[X]:((~generous(X)<~>strong(X)))))&
(((~generous(john)&humble(john)))=>(?[X]:(curious(X))))&
((?[X]:((quiet(X)<~>~happy(X))))=>(?[X]:((~brave(X)<~>brave(X)))))&
((~happy(susan))=>((~calm(lucy)<~>old(lucy))))&
(![X]:(curious(X)<=>(humble(X)<~>happy(X))))&
(![X]:(kind(X)<=>(~calm(X)|funny(X))))&
(... | generous(john) | [] | null | 0 |
If mary is wise or not humble then lucy is not generous or not creative and vice versa. If someone is both humble and wise then someone is not rich. If alice is calm then someone is not happy. Everyone who is either not calm or strong is creative. Everyone who is both calm and happy is both strong and not tall and vice... | Susan is not brave. | neutral | (((wise(mary)|~humble(mary)))<=>((~generous(lucy)|~creative(lucy))))&
((?[X]:((humble(X)&wise(X))))=>(?[X]:(~rich(X))))&
((calm(alice))=>(?[X]:(~happy(X))))&
(![X]:((~calm(X)<~>strong(X))=>creative(X)))&
(![X]:((calm(X)&happy(X))<=>(strong(X)&~tall(X))))&
(![X]:(rich(X)<=>(wise(X)&kind(X))))&
(![X]:((~creative(X)|~humb... | ~brave(susan) | [] | null | 0 |
Everyone who is not happy or not quiet is not wise or not humble.
Everyone who is not brave or not patient is both tall and not calm and vice versa.
If someone is not brave or happy then john is both not kind and old.
If someone is either not rich or rich then someone is either calm or not kind.
If someone is funny the... | John is generous. | entailment | (![X]:((~happy(X)|~quiet(X))=>(~wise(X)|~humble(X))))&
(![X]:((~brave(X)|~patient(X))<=>(tall(X)&~calm(X))))&
((?[X]:((~brave(X)|happy(X))))=>((~kind(john)&old(john))))&
((?[X]:((~rich(X)<~>rich(X))))=>(?[X]:((calm(X)<~>~kind(X)))))&
((?[X]:(funny(X)))=>(?[X]:((~quiet(X)&~brave(X)))))&
(![X]:((~strong(X)|calm(X))=>(~cr... | generous(john) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5648012220724254679557882
% SZS output start Proof for 5648012220724254679557882
18. ~brave(john) & generous(john) [input p17]
25. ~generous(john) [input hypothesis]
112. generous(john) [cnf transformation 18]
122. ~generous(john) [cnf transformation 25]
205. 19 <=> generous(john) [avatar... | 0 |
Everyone who is either not tall or not funny is both not tall and happy and vice versa. Everyone who is tall is not patient or not kind and vice versa. Everyone who is both not brave and not tall is either rich or calm and vice versa. Everyone who is either creative or kind is both quiet and rich. If lucy is old or not... | Paul is wise. | neutral | (![X]:((~tall(X)<~>~funny(X))<=>(~tall(X)&happy(X))))&
(![X]:(tall(X)<=>(~patient(X)|~kind(X))))&
(![X]:((~brave(X)&~tall(X))<=>(rich(X)<~>calm(X))))&
(![X]:((creative(X)<~>kind(X))=>(quiet(X)&rich(X))))&
(((old(lucy)|~patient(lucy)))<=>(?[X]:((brave(X)&generous(X)))))&
(![X]:((~curious(X)&~funny(X))=>~rich(X)))&
(![X]... | wise(paul) | [] | null | 0 |
If susan is either not kind or strong then paul is either not tall or quiet and vice versa.
Everyone who is not creative is both quiet and rich and vice versa.
Everyone who is not strong is either rich or strong and vice versa.
If someone is both brave and generous then mary is wise or rich.
Everyone who is either wise... | Alice is curious. | contradiction | (((~kind(susan)<~>strong(susan)))<=>((~tall(paul)<~>quiet(paul))))&
(![X]:(~creative(X)<=>(quiet(X)&rich(X))))&
(![X]:(~strong(X)<=>(rich(X)<~>strong(X))))&
((?[X]:((brave(X)&generous(X))))=>((wise(mary)|rich(mary))))&
(![X]:((wise(X)<~>~old(X))<=>(strong(X)&~kind(X))))&
(((rich(mary)|~tall(mary)))=>(~quiet(alice)))&
(... | curious(alice) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6760612152694712908385639
% SZS output start Proof for 6760612152694712908385639
3. ! [X0] : (~strong(X0) <=> (rich(X0) <~> strong(X0))) [input p2]
12. (~strong(alice) | curious(alice)) => (~rich(fred) & ~humble(fred)) [input p11]
24. curious(alice) [input hypothesis]
33. (~rich(fred) & ~... | 0 |
Everyone who is old or not patient is both not old and patient.
Everyone who is not calm is not patient or not creative.
Everyone who is not wise or creative is not kind or strong.
Everyone who is not calm or not old is either happy or not kind and vice versa.
Everyone who is not curious is not humble or not rich and v... | Mary is old. | contradiction | (![X]:((old(X)|~patient(X))=>(~old(X)&patient(X))))&
(![X]:(~calm(X)=>(~patient(X)|~creative(X))))&
(![X]:((~wise(X)|creative(X))=>(~kind(X)|strong(X))))&
(![X]:((~calm(X)|~old(X))<=>(happy(X)<~>~kind(X))))&
(![X]:(~curious(X)<=>(~humble(X)|~rich(X))))&
(![X]:((creative(X)<~>~rich(X))=>(patient(X)&~old(X))))&
(((~calm(... | old(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 122905214282834150215632
% SZS output start Proof for 122905214282834150215632
1. ! [X0] : ((~patient(X0) | old(X0)) => (patient(X0) & ~old(X0))) [input p0]
22. old(mary) [input hypothesis]
26. ! [X0] : ((patient(X0) & ~old(X0)) | (patient(X0) & ~old(X0))) [ennf transformation 1]
81. ~old... | 0 |
Everyone who is quiet or not kind is not strong and vice versa. If susan is not curious or not tall then fred is brave or not generous and vice versa. Everyone who is both not happy and curious is curious or not creative and vice versa. If someone is both old and funny then someone is both rich and curious. Everyone wh... | Mary is calm. | contradiction | (![X]:((quiet(X)|~kind(X))<=>~strong(X)))&
(((~curious(susan)|~tall(susan)))<=>((brave(fred)|~generous(fred))))&
(![X]:((~happy(X)&curious(X))<=>(curious(X)|~creative(X))))&
((?[X]:((old(X)&funny(X))))=>(?[X]:((rich(X)&curious(X)))))&
(![X]:((~patient(X)|~humble(X))<=>(curious(X)<~>~rich(X))))&
(![X]:((~wise(X)|~patien... | calm(mary) | [
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5639094485309282000725098
% SZS output start Proof for 5639094485309282000725098
6. ! [X0] : ((~patient(X0) | ~wise(X0)) <=> (quiet(X0) & wise(X0))) [input p5]
13. ! [X0] : ((~creative(X0) & ~wise(X0)) <=> (~quiet(X0) | calm(X0))) [input p12]
23. calm(mary) [input hypothesis]
45. ! [X0] :... | 0 |
Everyone who is either not kind or not calm is creative or not kind and vice versa.
Everyone who is both funny and not calm is generous.
If someone is not strong then john is both not wise and not brave and vice versa.
Everyone who is quiet is both not strong and not brave.
Everyone who is kind or wise is both not brav... | John is rich. | entailment | (![X]:((~kind(X)<~>~calm(X))<=>(creative(X)|~kind(X))))&
(![X]:((funny(X)&~calm(X))=>generous(X)))&
((?[X]:(~strong(X)))<=>((~wise(john)&~brave(john))))&
(![X]:(quiet(X)=>(~strong(X)&~brave(X))))&
(![X]:((kind(X)|wise(X))=>(~brave(X)&~calm(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(tall(X))))&
(![X]:((tall(X)&patient(X))<=>(~... | rich(john) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2005671418200320381412935
% SZS output start Proof for 2005671418200320381412935
1. ! [X0] : ((~kind(X0) <~> ~calm(X0)) <=> (~kind(X0) | creative(X0))) [input p0]
5. ! [X0] : ((wise(X0) | kind(X0)) => (~calm(X0) & ~brave(X0))) [input p4]
7. ! [X0] : ((patient(X0) & tall(X0)) <=> (~creativ... | 0 |
Everyone who is generous or humble is wise and vice versa. Everyone who is either brave or generous is both calm and not quiet and vice versa. Everyone who is generous or rich is both generous and not strong and vice versa. If someone is not rich then someone is old and vice versa. Everyone who is calm is both not gene... | John is not curious. | neutral | (![X]:((generous(X)|humble(X))<=>wise(X)))&
(![X]:((brave(X)<~>generous(X))<=>(calm(X)&~quiet(X))))&
(![X]:((generous(X)|rich(X))<=>(generous(X)&~strong(X))))&
((?[X]:(~rich(X)))<=>(?[X]:(old(X))))&
(![X]:(calm(X)<=>(~generous(X)&~creative(X))))&
(![X]:((~rich(X)&~kind(X))<=>kind(X)))&
(![X]:(wise(X)<=>(curious(X)<~>ha... | ~curious(john) | [] | null | 0 |
Everyone who is either brave or wise is not creative.
If someone is both wise and generous then someone is kind.
Everyone who is creative or patient is not happy and vice versa.
If someone is both not brave and strong then someone is patient.
If someone is both rich and funny then mary is calm and vice versa.
If lucy i... | Lucy is creative. | contradiction | (![X]:((brave(X)<~>wise(X))=>~creative(X)))&
((?[X]:((wise(X)&generous(X))))=>(?[X]:(kind(X))))&
(![X]:((creative(X)|patient(X))<=>~happy(X)))&
((?[X]:((~brave(X)&strong(X))))=>(?[X]:(patient(X))))&
((?[X]:((rich(X)&funny(X))))<=>(calm(mary)))&
((old(lucy))=>(?[X]:((~happy(X)&curious(X)))))&
((?[X]:((funny(X)&tall(X)))... | creative(lucy) | [
"p0",
"p2",
"p7",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 503788528592700845578982
% SZS output start Proof for 503788528592700845578982
1. ! [X0] : ((brave(X0) <~> wise(X0)) => ~creative(X0)) [input p0]
3. ! [X0] : ((patient(X0) | creative(X0)) <=> ~happy(X0)) [input p2]
8. ! [X0] : ((~wise(X0) & ~happy(X0)) => (kind(X0) & funny(X0))) [input p7... | 0 |
If mary is not rich then someone is patient.
If susan is curious then someone is either brave or not quiet and vice versa.
Everyone who is not curious or not brave is either tall or not calm.
Everyone who is not creative or kind is funny or not rich.
Everyone who is brave or rich is either not rich or not strong and vi... | Mary is not brave. | neutral | ((~rich(mary))=>(?[X]:(patient(X))))&
((curious(susan))<=>(?[X]:((brave(X)<~>~quiet(X)))))&
(![X]:((~curious(X)|~brave(X))=>(tall(X)<~>~calm(X))))&
(![X]:((~creative(X)|kind(X))=>(funny(X)|~rich(X))))&
(![X]:((brave(X)|rich(X))<=>(~rich(X)<~>~strong(X))))&
(![X]:((tall(X)|~curious(X))=>(~kind(X)&~creative(X))))&
((?[X]... | ~brave(mary) | [] | null | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is old is either happy or not creative.
Everyone who is both old and not happy is generous or not rich and vice versa.
Everyone who is either not tall or not wise is either patient or tall and vice versa.
Everyone who is rich or curio... | Fred is not happy. | contradiction | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
(![X]:((~tall(X)<~>~wise(X))<=>(patient(X)<~>tall(X))))&
(![X]:((rich(X)|curious(X))=>happy(X)))&
(![X]:(patient(X)<=>(happy(X)<~>creative(X))))&
(![X]:((~kind(X)&~generous... | ~happy(fred) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6111552482766725947325085
% SZS output start Proof for 6111552482766725947325085
2. ! [X0] : (old(X0) => (happy(X0) <~> ~creative(X0))) [input p1]
3. ! [X0] : ((~happy(X0) & old(X0)) <=> (~rich(X0) | generous(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> ~wise(X0)) <=> (patient(X0) <~> tal... | 0 |
If john is either not humble or brave then fred is both not happy and not funny and vice versa. Everyone who is either wise or not quiet is quiet or not humble and vice versa. Everyone who is both not quiet and not tall is both not patient and curious. If fred is strong then susan is not quiet. If someone is both not r... | John is calm. | entailment | (((~humble(john)<~>brave(john)))<=>((~happy(fred)&~funny(fred))))&
(![X]:((wise(X)<~>~quiet(X))<=>(quiet(X)|~humble(X))))&
(![X]:((~quiet(X)&~tall(X))=>(~patient(X)&curious(X))))&
((strong(fred))=>(~quiet(susan)))&
((?[X]:((~rich(X)&humble(X))))<=>(?[X]:((kind(X)<~>~brave(X)))))&
(![X]:((~rich(X)<~>~quiet(X))<=>(tall(X... | calm(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5316926578083163589308669
% SZS output start Proof for 5316926578083163589308669
7. ! [X0] : ((~kind(X0) <~> kind(X0)) => calm(X0)) [input p6]
24. ~calm(john) [input hypothesis]
30. ! [X0] : (calm(X0) | (~kind(X0) <=> kind(X0))) [ennf transformation 7]
45. ! [X0] : (calm(X0) | ((~kind(X0)... | 0 |
If john is both humble and not humble then someone is either happy or not funny and vice versa.
Everyone who is not old or not tall is calm or funny and vice versa.
If someone is either rich or brave then alice is either funny or wise.
Everyone who is not strong is both wise and not kind.
Everyone who is either not qui... | Alice is not tall. | entailment | (((humble(john)&~humble(john)))<=>(?[X]:((happy(X)<~>~funny(X)))))&
(![X]:((~old(X)|~tall(X))<=>(calm(X)|funny(X))))&
((?[X]:((rich(X)<~>brave(X))))=>((funny(alice)<~>wise(alice))))&
(![X]:(~strong(X)=>(wise(X)&~kind(X))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(quiet(X)<~>humble(X))))&
((?[X]:(~wise(X)))=>(?[X]:((~brave... | ~tall(alice) | [
"p3",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3646404058969213810741564
% SZS output start Proof for 3646404058969213810741564
4. ! [X0] : (~strong(X0) => (~kind(X0) & wise(X0))) [input p3]
9. ? [X0] : ~generous(X0) <=> ? [X0] : (~generous(X0) <~> ~strong(X0)) [input p8]
10. ! [X0] : (~wise(X0) <=> ~generous(X0)) [input p9]
16. ! [X0... | 0 |
Everyone who is brave or tall is creative or not old.
If someone is both not curious and not humble then someone is both patient and not curious and vice versa.
Everyone who is either rich or not happy is either not quiet or rich and vice versa.
Everyone who is both not patient and not quiet is not brave or not calm an... | Paul is brave. | entailment | (![X]:((brave(X)|tall(X))=>(creative(X)|~old(X))))&
((?[X]:((~curious(X)&~humble(X))))<=>(?[X]:((patient(X)&~curious(X)))))&
(![X]:((rich(X)<~>~happy(X))<=>(~quiet(X)<~>rich(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(~brave(X)|~calm(X))))&
(![X]:(wise(X)=>(happy(X)&rich(X))))&
(![X]:((~funny(X)&rich(X))=>strong(X)))&
(![... | brave(paul) | [
"p3",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6506577087357970837818039
% SZS output start Proof for 6506577087357970837818039
4. ! [X0] : ((~quiet(X0) & ~patient(X0)) <=> (~calm(X0) | ~brave(X0))) [input p3]
22. quiet(paul) [input p21]
25. ~brave(paul) [input hypothesis]
45. ! [X0] : (((~quiet(X0) & ~patient(X0)) | (calm(X0) & brave... | 0 |
If someone is not curious or happy then mary is not funny or not quiet and vice versa. Everyone who is not quiet is creative or happy and vice versa. Everyone who is brave or not creative is not humble and vice versa. Everyone who is both patient and not happy is calm or not funny. Everyone who is brave is either quiet... | Paul is kind. | entailment | ((?[X]:((~curious(X)|happy(X))))<=>((~funny(mary)|~quiet(mary))))&
(![X]:(~quiet(X)<=>(creative(X)|happy(X))))&
(![X]:((brave(X)|~creative(X))<=>~humble(X)))&
(![X]:((patient(X)&~happy(X))=>(calm(X)|~funny(X))))&
(![X]:(brave(X)=>(quiet(X)<~>~kind(X))))&
(![X]:((~humble(X)|rich(X))=>(~generous(X)<~>~creative(X))))&
(((... | kind(paul) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 828590609701910034150562
% SZS output start Proof for 828590609701910034150562
2. ! [X0] : (~quiet(X0) <=> (happy(X0) | creative(X0))) [input p1]
3. ! [X0] : ((~creative(X0) | brave(X0)) <=> ~humble(X0)) [input p2]
5. ! [X0] : (brave(X0) => (quiet(X0) <~> ~kind(X0))) [input p4]
6. ! [X0] ... | 0 |
If susan is funny then fred is both not generous and not strong and vice versa.
If alice is either not rich or kind then someone is either humble or funny and vice versa.
Everyone who is either wise or not creative is both patient and rich and vice versa.
If someone is both patient and not happy then fred is not creati... | Lucy is calm. | entailment | ((funny(susan))<=>((~generous(fred)&~strong(fred))))&
(((~rich(alice)<~>kind(alice)))<=>(?[X]:((humble(X)<~>funny(X)))))&
(![X]:((wise(X)<~>~creative(X))<=>(patient(X)&rich(X))))&
((?[X]:((patient(X)&~happy(X))))=>(~creative(fred)))&
(![X]:((humble(X)<~>happy(X))<=>rich(X)))&
(![X]:((~brave(X)|~creative(X))<=>~funny(X)... | calm(lucy) | [
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1041848653050461202585373
% SZS output start Proof for 1041848653050461202585373
18. ~patient(lucy) | calm(lucy) [input p17]
22. patient(lucy) & ~quiet(lucy) [input p21]
24. ~calm(lucy) [input hypothesis]
135. ~patient(lucy) | calm(lucy) [cnf transformation 18]
141. patient(lucy) [cnf tra... | 0 |
If mary is either not strong or not old then john is either not humble or brave and vice versa.
Everyone who is not kind is both happy and not kind.
If someone is both not kind and not rich then someone is not rich or not humble and vice versa.
Everyone who is either calm or tall is humble or creative and vice versa.
I... | John is not happy. | contradiction | (((~strong(mary)<~>~old(mary)))<=>((~humble(john)<~>brave(john))))&
(![X]:(~kind(X)=>(happy(X)&~kind(X))))&
((?[X]:((~kind(X)&~rich(X))))<=>(?[X]:((~rich(X)|~humble(X)))))&
(![X]:((calm(X)<~>tall(X))<=>(humble(X)|creative(X))))&
(((~wise(fred)&kind(fred)))<=>(?[X]:(~brave(X))))&
((rich(alice))=>((old(alice)<~>~curious(... | ~happy(john) | [
"p1",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3808094696682561075274726
% SZS output start Proof for 3808094696682561075274726
2. ! [X0] : (~kind(X0) => (~kind(X0) & happy(X0))) [input p1]
21. ~kind(john) & patient(john) [input p20]
25. ~happy(john) [input hypothesis]
27. ! [X0] : ((~kind(X0) & happy(X0)) | kind(X0)) [ennf transforma... | 0 |
Everyone who is not quiet is not tall or curious.
Everyone who is curious is either not kind or not humble and vice versa.
If john is patient or not strong then fred is not old or not happy and vice versa.
Everyone who is either not rich or generous is calm or not funny and vice versa.
Everyone who is not quiet is not ... | John is not creative. | entailment | (![X]:(~quiet(X)=>(~tall(X)|curious(X))))&
(![X]:(curious(X)<=>(~kind(X)<~>~humble(X))))&
(((patient(john)|~strong(john)))<=>((~old(fred)|~happy(fred))))&
(![X]:((~rich(X)<~>generous(X))<=>(calm(X)|~funny(X))))&
(![X]:(~quiet(X)=>~generous(X)))&
(![X]:((humble(X)|funny(X))<=>(calm(X)|kind(X))))&
(![X]:((~quiet(X)&~crea... | ~creative(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5666660803046895544966066
% SZS output start Proof for 5666660803046895544966066
7. ! [X0] : ((~creative(X0) & ~quiet(X0)) <=> (creative(X0) | ~old(X0))) [input p6]
25. creative(john) [input hypothesis]
37. ! [X0] : (((~creative(X0) & ~quiet(X0)) | (~creative(X0) & old(X0))) & ((creative(... | 0 |
Everyone who is generous or not strong is both not patient and old and vice versa.
Everyone who is happy is both brave and kind and vice versa.
If fred is not old then someone is both happy and creative.
Everyone who is either creative or kind is both not tall and curious and vice versa.
If someone is generous or brave... | John is quiet. | neutral | (![X]:((generous(X)|~strong(X))<=>(~patient(X)&old(X))))&
(![X]:(happy(X)<=>(brave(X)&kind(X))))&
((~old(fred))=>(?[X]:((happy(X)&creative(X)))))&
(![X]:((creative(X)<~>kind(X))<=>(~tall(X)&curious(X))))&
((?[X]:((generous(X)|brave(X))))=>(?[X]:(curious(X))))&
(![X]:((tall(X)|~old(X))<=>(~brave(X)&~curious(X))))&
(![X]... | quiet(john) | [] | null | 0 |
If someone is either not old or not quiet then mary is quiet. Everyone who is both not tall and tall is creative and vice versa. If someone is both not wise and humble then paul is old or not strong. If mary is both calm and not generous then someone is happy and vice versa. Everyone who is not calm or humble is both c... | Fred is generous. | contradiction | ((?[X]:((~old(X)<~>~quiet(X))))=>(quiet(mary)))&
(![X]:((~tall(X)&tall(X))<=>creative(X)))&
((?[X]:((~wise(X)&humble(X))))=>((old(paul)|~strong(paul))))&
(((calm(mary)&~generous(mary)))<=>(?[X]:(happy(X))))&
(![X]:((~calm(X)|humble(X))=>(creative(X)&rich(X))))&
(![X]:((old(X)<~>~creative(X))<=>(~creative(X)&strong(X)))... | generous(fred) | [
"p1",
"p4",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1790652589361894837674649
% SZS output start Proof for 1790652589361894837674649
2. ! [X0] : ((tall(X0) & ~tall(X0)) <=> creative(X0)) [input p1]
5. ! [X0] : ((humble(X0) | ~calm(X0)) => (rich(X0) & creative(X0))) [input p4]
8. ! [X0] : ((generous(X0) | old(X0)) <=> (rich(X0) & ~wise(X0))... | 0 |
If lucy is kind then someone is either not old or old. Everyone who is either funny or not calm is curious or not kind and vice versa. If fred is either not generous or wise then lucy is both brave and not rich and vice versa. Everyone who is either not calm or not old is strong or not wise and vice versa. Everyone who... | Paul is not rich. | neutral | ((kind(lucy))=>(?[X]:((~old(X)<~>old(X)))))&
(![X]:((funny(X)<~>~calm(X))<=>(curious(X)|~kind(X))))&
(((~generous(fred)<~>wise(fred)))<=>((brave(lucy)&~rich(lucy))))&
(![X]:((~calm(X)<~>~old(X))<=>(strong(X)|~wise(X))))&
(![X]:((~generous(X)|~creative(X))<=>(patient(X)|kind(X))))&
((?[X]:((strong(X)&creative(X))))<=>(?... | ~rich(paul) | [] | null | 0 |
Everyone who is either not happy or not calm is either not kind or humble. Everyone who is old is creative or rich and vice versa. Everyone who is either not generous or creative is both not kind and not strong and vice versa. Everyone who is not brave is either not old or kind and vice versa. Everyone who is either no... | Lucy is calm. | contradiction | (![X]:((~happy(X)<~>~calm(X))=>(~kind(X)<~>humble(X))))&
(![X]:(old(X)<=>(creative(X)|rich(X))))&
(![X]:((~generous(X)<~>creative(X))<=>(~kind(X)&~strong(X))))&
(![X]:(~brave(X)<=>(~old(X)<~>kind(X))))&
(![X]:((~rich(X)<~>~curious(X))<=>(creative(X)&humble(X))))&
(![X]:((strong(X)|calm(X))=>(humble(X)|~brave(X))))&
(![... | calm(lucy) | [
"p1",
"p7",
"p10",
"p11",
"p14",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8120628381094892412185756
% SZS output start Proof for 8120628381094892412185756
2. ! [X0] : (old(X0) <=> (rich(X0) | creative(X0))) [input p1]
8. ! [X0] : ((funny(X0) | ~strong(X0)) => (~patient(X0) & ~calm(X0))) [input p7]
11. ! [X0] : ((quiet(X0) <~> strong(X0)) <=> strong(X0)) [input ... | 0 |
Everyone who is either curious or not curious is not rich or not calm.
Everyone who is either not generous or tall is tall or not funny.
Everyone who is not kind is both calm and generous and vice versa.
If someone is both not curious and not generous then someone is quiet or brave and vice versa.
If someone is either ... | Alice is not humble. | contradiction | (![X]:((curious(X)<~>~curious(X))=>(~rich(X)|~calm(X))))&
(![X]:((~generous(X)<~>tall(X))=>(tall(X)|~funny(X))))&
(![X]:(~kind(X)<=>(calm(X)&generous(X))))&
((?[X]:((~curious(X)&~generous(X))))<=>(?[X]:((quiet(X)|brave(X)))))&
((?[X]:((~calm(X)<~>strong(X))))<=>(~quiet(paul)))&
(![X]:(~curious(X)<=>(calm(X)&old(X))))&
... | ~humble(alice) | [
"p2",
"p3",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8836862134418406654299123
% SZS output start Proof for 8836862134418406654299123
3. ! [X0] : (~kind(X0) <=> (generous(X0) & calm(X0))) [input p2]
4. ? [X0] : (~generous(X0) & ~curious(X0)) <=> ? [X0] : (brave(X0) | quiet(X0)) [input p3]
7. ! [X0] : ((~humble(X0) | ~generous(X0)) <=> (~kin... | 0 |
Everyone who is either not creative or not rich is not brave or not creative and vice versa. Everyone who is quiet or tall is not old or funny. Everyone who is either not humble or generous is tall or wise and vice versa. If someone is both not happy and not patient then alice is both rich and creative and vice versa. ... | Fred is not rich. | contradiction | (![X]:((~creative(X)<~>~rich(X))<=>(~brave(X)|~creative(X))))&
(![X]:((quiet(X)|tall(X))=>(~old(X)|funny(X))))&
(![X]:((~humble(X)<~>generous(X))<=>(tall(X)|wise(X))))&
((?[X]:((~happy(X)&~patient(X))))<=>((rich(alice)&creative(alice))))&
(((calm(mary)|~happy(mary)))=>((calm(john)&wise(john))))&
(![X]:(funny(X)=>(~kind... | ~rich(fred) | [
"p0",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 286229783659223835568293
% SZS output start Proof for 286229783659223835568293
1. ! [X0] : ((~creative(X0) <~> ~rich(X0)) <=> (~creative(X0) | ~brave(X0))) [input p0]
6. ! [X0] : (funny(X0) => (~funny(X0) & ~kind(X0))) [input p5]
10. ! [X0] : (~brave(X0) => (~happy(X0) & funny(X0))) [inpu... | 0 |
Everyone who is either not wise or not old is either quiet or not calm.
If lucy is not creative or kind then someone is either not rich or not old and vice versa.
If someone is kind then someone is not rich or tall and vice versa.
If someone is either not calm or not happy then john is not brave or not quiet and vice v... | Lucy is not tall. | entailment | (![X]:((~wise(X)<~>~old(X))=>(quiet(X)<~>~calm(X))))&
(((~creative(lucy)|kind(lucy)))<=>(?[X]:((~rich(X)<~>~old(X)))))&
((?[X]:(kind(X)))<=>(?[X]:((~rich(X)|tall(X)))))&
((?[X]:((~calm(X)<~>~happy(X))))<=>((~brave(john)|~quiet(john))))&
(((~funny(john)<~>kind(john)))<=>((happy(susan)&~humble(susan))))&
(![X]:((~wise(X)... | ~tall(lucy) | [
"p2",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4262464819213341897829434
% SZS output start Proof for 4262464819213341897829434
3. ? [X0] : kind(X0) <=> ? [X0] : (tall(X0) | ~rich(X0)) [input p2]
7. ! [X0] : ((~happy(X0) & curious(X0)) <=> kind(X0)) [input p6]
13. ! [X0] : (kind(X0) <=> (happy(X0) & calm(X0))) [input p12]
22. tall(luc... | 0 |
Everyone who is tall is both rich and calm and vice versa.
If someone is not humble or wise then someone is not generous and vice versa.
Everyone who is not quiet is both tall and not generous.
If fred is both not patient and not brave then fred is both not generous and not humble and vice versa.
Everyone who is either... | Mary is not tall. | neutral | (![X]:(tall(X)<=>(rich(X)&calm(X))))&
((?[X]:((~humble(X)|wise(X))))<=>(?[X]:(~generous(X))))&
(![X]:(~quiet(X)=>(tall(X)&~generous(X))))&
(((~patient(fred)&~brave(fred)))<=>((~generous(fred)&~humble(fred))))&
(![X]:((~old(X)<~>patient(X))<=>~happy(X)))&
((creative(mary))<=>(?[X]:((tall(X)<~>~strong(X)))))&
((?[X]:(kin... | ~tall(mary) | [] | null | 0 |
Everyone who is not funny or brave is not wise and vice versa. Everyone who is patient is generous. If alice is not wise or strong then susan is either not curious or quiet. Everyone who is either old or kind is either curious or old and vice versa. Everyone who is not kind is either creative or not funny. Everyone who... | Fred is not generous. | contradiction | (![X]:((~funny(X)|brave(X))<=>~wise(X)))&
(![X]:(patient(X)=>generous(X)))&
(((~wise(alice)|strong(alice)))=>((~curious(susan)<~>quiet(susan))))&
(![X]:((old(X)<~>kind(X))<=>(curious(X)<~>old(X))))&
(![X]:(~kind(X)=>(creative(X)<~>~funny(X))))&
(![X]:((creative(X)<~>~wise(X))<=>(~funny(X)&funny(X))))&
(![X]:((~creative... | ~generous(fred) | [
"p0",
"p1",
"p5",
"p6",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5775125550983895591823111
% SZS output start Proof for 5775125550983895591823111
1. ! [X0] : ((brave(X0) | ~funny(X0)) <=> ~wise(X0)) [input p0]
2. ! [X0] : (patient(X0) => generous(X0)) [input p1]
6. ! [X0] : ((creative(X0) <~> ~wise(X0)) <=> (funny(X0) & ~funny(X0))) [input p5]
7. ! [X0... | 0 |
If someone is either not funny or curious then lucy is funny and vice versa.
If alice is both not humble and wise then someone is both not brave and generous.
Everyone who is both not creative and old is either generous or calm and vice versa.
Everyone who is either not creative or kind is either not tall or not kind.
... | Susan is humble. | neutral | ((?[X]:((~funny(X)<~>curious(X))))<=>(funny(lucy)))&
(((~humble(alice)&wise(alice)))=>(?[X]:((~brave(X)&generous(X)))))&
(![X]:((~creative(X)&old(X))<=>(generous(X)<~>calm(X))))&
(![X]:((~creative(X)<~>kind(X))=>(~tall(X)<~>~kind(X))))&
(![X]:((brave(X)<~>creative(X))<=>(~brave(X)&generous(X))))&
(![X]:((kind(X)&curiou... | humble(susan) | [] | null | 0 |
Everyone who is rich or not happy is both quiet and tall and vice versa.
If someone is not kind or calm then someone is either not happy or not tall.
If someone is either not tall or kind then someone is both not calm and creative.
Everyone who is both not generous and tall is not calm or not happy and vice versa.
If l... | Susan is not wise. | entailment | (![X]:((rich(X)|~happy(X))<=>(quiet(X)&tall(X))))&
((?[X]:((~kind(X)|calm(X))))=>(?[X]:((~happy(X)<~>~tall(X)))))&
((?[X]:((~tall(X)<~>kind(X))))=>(?[X]:((~calm(X)&creative(X)))))&
(![X]:((~generous(X)&tall(X))<=>(~calm(X)|~happy(X))))&
(((~humble(lucy)&~curious(lucy)))=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)&wise(X))<=... | ~wise(susan) | [
"p0",
"p2",
"p3",
"p5",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1279033439281673415495497
% SZS output start Proof for 1279033439281673415495497
1. ! [X0] : ((~happy(X0) | rich(X0)) <=> (tall(X0) & quiet(X0))) [input p0]
3. ? [X0] : (~tall(X0) <~> kind(X0)) => ? [X0] : (creative(X0) & ~calm(X0)) [input p2]
4. ! [X0] : ((tall(X0) & ~generous(X0)) <=> (... | 0 |
If someone is not brave then someone is calm and vice versa.
Everyone who is both patient and not kind is tall and vice versa.
If lucy is humble then someone is brave or not humble and vice versa.
Everyone who is both not funny and not kind is either not rich or brave and vice versa.
If someone is either rich or quiet ... | Susan is rich. | contradiction | ((?[X]:(~brave(X)))<=>(?[X]:(calm(X))))&
(![X]:((patient(X)&~kind(X))<=>tall(X)))&
((humble(lucy))<=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((~funny(X)&~kind(X))<=>(~rich(X)<~>brave(X))))&
((?[X]:((rich(X)<~>quiet(X))))=>((~rich(mary)|curious(mary))))&
(((~quiet(susan)&generous(susan)))<=>(~calm(susan)))&
(((tall(lucy)... | rich(susan) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3633204580357432621951964
% SZS output start Proof for 3633204580357432621951964
2. ! [X0] : ((~kind(X0) & patient(X0)) <=> tall(X0)) [input p1]
7. (~patient(lucy) & tall(lucy)) <=> ? [X0] : (creative(X0) | rich(X0)) [input p6]
21. rich(susan) [input hypothesis]
34. ! [X0] : (((~kind(X0) ... | 0 |
Everyone who is both creative and not happy is either patient or creative and vice versa.
If someone is both not funny and not tall then someone is not funny and vice versa.
Everyone who is not happy is both old and not kind and vice versa.
If someone is wise then someone is either not curious or not happy and vice ver... | Mary is not happy. | neutral | (![X]:((creative(X)&~happy(X))<=>(patient(X)<~>creative(X))))&
((?[X]:((~funny(X)&~tall(X))))<=>(?[X]:(~funny(X))))&
(![X]:(~happy(X)<=>(old(X)&~kind(X))))&
((?[X]:(wise(X)))<=>(?[X]:((~curious(X)<~>~happy(X)))))&
(((generous(mary)|~wise(mary)))=>(?[X]:((happy(X)<~>~funny(X)))))&
(((wise(paul)&quiet(paul)))=>(?[X]:((ri... | ~happy(mary) | [] | null | 0 |
If someone is both funny and not curious then mary is not tall or old.
Everyone who is not humble is generous and vice versa.
Everyone who is either curious or tall is not humble or quiet.
If someone is not patient or generous then someone is both not tall and tall.
Everyone who is both curious and not humble is either... | Fred is not happy. | entailment | ((?[X]:((funny(X)&~curious(X))))=>((~tall(mary)|old(mary))))&
(![X]:(~humble(X)<=>generous(X)))&
(![X]:((curious(X)<~>tall(X))=>(~humble(X)|quiet(X))))&
((?[X]:((~patient(X)|generous(X))))=>(?[X]:((~tall(X)&tall(X)))))&
(![X]:((curious(X)&~humble(X))<=>(happy(X)<~>wise(X))))&
(![X]:((~curious(X)&~generous(X))=>(~creati... | ~happy(fred) | [
"p1",
"p3",
"p4",
"p10",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7065018132144577919665104
% SZS output start Proof for 7065018132144577919665104
2. ! [X0] : (~humble(X0) <=> generous(X0)) [input p1]
4. ? [X0] : (generous(X0) | ~patient(X0)) => ? [X0] : (tall(X0) & ~tall(X0)) [input p3]
5. ! [X0] : ((~humble(X0) & curious(X0)) <=> (happy(X0) <~> wise(X... | 0 |
If alice is patient then john is rich or not funny.
If someone is either rich or not strong then someone is either humble or old and vice versa.
If someone is either generous or not rich then alice is either patient or kind.
If alice is either generous or not generous then susan is either patient or brave.
Everyone who... | Lucy is tall. | contradiction | ((patient(alice))=>((rich(john)|~funny(john))))&
((?[X]:((rich(X)<~>~strong(X))))<=>(?[X]:((humble(X)<~>old(X)))))&
((?[X]:((generous(X)<~>~rich(X))))=>((patient(alice)<~>kind(alice))))&
(((generous(alice)<~>~generous(alice)))=>((patient(susan)<~>brave(susan))))&
(![X]:(brave(X)<=>~rich(X)))&
((~calm(susan))<=>(~calm(a... | tall(lucy) | [
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3291069325638409177226748
% SZS output start Proof for 3291069325638409177226748
14. (~tall(lucy) & happy(lucy)) <=> ? [X0] : creative(X0) [input p13]
17. creative(alice) & old(alice) [input p16]
25. tall(lucy) [input hypothesis]
62. ((~tall(lucy) & happy(lucy)) | ! [X0] : ~creative(X0)) ... | 0 |
If someone is both strong and not creative then someone is both humble and strong. If someone is not wise or not funny then someone is either happy or creative. If someone is both tall and creative then someone is not happy and vice versa. Everyone who is tall or not rich is not patient or quiet and vice versa. Everyon... | Fred is wise. | neutral | ((?[X]:((strong(X)&~creative(X))))=>(?[X]:((humble(X)&strong(X)))))&
((?[X]:((~wise(X)|~funny(X))))=>(?[X]:((happy(X)<~>creative(X)))))&
((?[X]:((tall(X)&creative(X))))<=>(?[X]:(~happy(X))))&
(![X]:((tall(X)|~rich(X))<=>(~patient(X)|quiet(X))))&
(![X]:((~happy(X)|~kind(X))<=>kind(X)))&
(((~brave(susan)|funny(susan)))=>... | wise(fred) | [] | null | 0 |
Everyone who is not patient is either generous or not curious.
If someone is both not funny and quiet then someone is either creative or not wise.
Everyone who is both not humble and not curious is either not patient or not humble and vice versa.
If lucy is not happy then someone is either not kind or not happy and vic... | Fred is happy. | entailment | (![X]:(~patient(X)=>(generous(X)<~>~curious(X))))&
((?[X]:((~funny(X)&quiet(X))))=>(?[X]:((creative(X)<~>~wise(X)))))&
(![X]:((~humble(X)&~curious(X))<=>(~patient(X)<~>~humble(X))))&
((~happy(lucy))<=>(?[X]:((~kind(X)<~>~happy(X)))))&
(![X]:(patient(X)=>(rich(X)<~>brave(X))))&
((~kind(lucy))<=>((creative(paul)&patient(... | happy(fred) | [
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7482349220951327217253049
% SZS output start Proof for 7482349220951327217253049
14. ! [X0] : (~brave(X0) => (strong(X0) & happy(X0))) [input p13]
17. happy(fred) <~> ~brave(fred) [input p16]
25. ~happy(fred) [input hypothesis]
36. ! [X0] : ((strong(X0) & happy(X0)) | brave(X0)) [ennf tra... | 0 |
If john is both not patient and not generous then someone is both old and rich and vice versa.
If paul is either not tall or not creative then fred is old and vice versa.
Everyone who is not kind is not funny or not old and vice versa.
Everyone who is both wise and quiet is either not rich or calm.
If someone is patien... | Susan is kind. | contradiction | (((~patient(john)&~generous(john)))<=>(?[X]:((old(X)&rich(X)))))&
(((~tall(paul)<~>~creative(paul)))<=>(old(fred)))&
(![X]:(~kind(X)<=>(~funny(X)|~old(X))))&
(![X]:((wise(X)&quiet(X))=>(~rich(X)<~>calm(X))))&
((?[X]:((patient(X)|~funny(X))))=>(?[X]:((~calm(X)|~tall(X)))))&
(((old(john)&creative(john)))=>(?[X]:((rich(X)... | kind(susan) | [
"p6",
"p7",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3673790672315234169608980
% SZS output start Proof for 3673790672315234169608980
7. ! [X0] : (wise(X0) <=> (humble(X0) & ~humble(X0))) [input p6]
8. ! [X0] : ((curious(X0) | ~wise(X0)) => (kind(X0) <~> happy(X0))) [input p7]
24. happy(susan) [input p23]
25. kind(susan) [input hypothesis]
... | 0 |
Everyone who is not patient is generous or not happy and vice versa.
Everyone who is not quiet is not brave and vice versa.
If john is both not curious and not tall then someone is not quiet or creative and vice versa.
Everyone who is rich or not curious is either not kind or happy and vice versa.
Everyone who is rich ... | Mary is curious. | contradiction | (![X]:(~patient(X)<=>(generous(X)|~happy(X))))&
(![X]:(~quiet(X)<=>~brave(X)))&
(((~curious(john)&~tall(john)))<=>(?[X]:((~quiet(X)|creative(X)))))&
(![X]:((rich(X)|~curious(X))<=>(~kind(X)<~>happy(X))))&
(![X]:((rich(X)|~rich(X))<=>(~old(X)<~>~generous(X))))&
(((~quiet(john)|strong(john)))<=>((~curious(mary)&tall(mary... | curious(mary) | [
"p0",
"p1",
"p5",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4607746091019440488809495
% SZS output start Proof for 4607746091019440488809495
1. ! [X0] : (~patient(X0) <=> (~happy(X0) | generous(X0))) [input p0]
2. ! [X0] : (~quiet(X0) <=> ~brave(X0)) [input p1]
6. (strong(john) | ~quiet(john)) <=> (tall(mary) & ~curious(mary)) [input p5]
7. ! [X0]... | 0 |
If someone is both not patient and not strong then someone is quiet or not strong.
If someone is both humble and brave then someone is both tall and quiet and vice versa.
Everyone who is either humble or tall is either not tall or not patient.
If someone is both not calm and not brave then susan is strong and vice vers... | Susan is not creative. | neutral | ((?[X]:((~patient(X)&~strong(X))))=>(?[X]:((quiet(X)|~strong(X)))))&
((?[X]:((humble(X)&brave(X))))<=>(?[X]:((tall(X)&quiet(X)))))&
(![X]:((humble(X)<~>tall(X))=>(~tall(X)<~>~patient(X))))&
((?[X]:((~calm(X)&~brave(X))))<=>(strong(susan)))&
(![X]:(~tall(X)=>humble(X)))&
(![X]:((~generous(X)<~>funny(X))<=>(brave(X)&~kin... | ~creative(susan) | [] | null | 0 |
Everyone who is not wise or old is tall or not old and vice versa.
Everyone who is either humble or not funny is both not brave and not wise and vice versa.
If someone is both not tall and not brave then john is not kind or brave and vice versa.
Everyone who is either creative or funny is strong and vice versa.
If some... | Lucy is not humble. | contradiction | (![X]:((~wise(X)|old(X))<=>(tall(X)|~old(X))))&
(![X]:((humble(X)<~>~funny(X))<=>(~brave(X)&~wise(X))))&
((?[X]:((~tall(X)&~brave(X))))<=>((~kind(john)|brave(john))))&
(![X]:((creative(X)<~>funny(X))<=>strong(X)))&
((?[X]:((strong(X)&~old(X))))=>(?[X]:((~humble(X)&~strong(X)))))&
(((~rich(fred)&generous(fred)))=>(?[X]:... | ~humble(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p8",
"p10",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5090540975653491299485051
% SZS output start Proof for 5090540975653491299485051
1. ! [X0] : ((old(X0) | ~wise(X0)) <=> (~old(X0) | tall(X0))) [input p0]
2. ! [X0] : ((humble(X0) <~> ~funny(X0)) <=> (~wise(X0) & ~brave(X0))) [input p1]
4. ! [X0] : ((creative(X0) <~> funny(X0)) <=> strong(... | 0 |
Everyone who is not curious or not kind is not humble.
If someone is wise or generous then someone is both not rich and quiet and vice versa.
Everyone who is either not humble or not generous is either not strong or not generous.
Everyone who is either not rich or not old is both not quiet and not generous.
If john is ... | Alice is generous. | contradiction | (![X]:((~curious(X)|~kind(X))=>~humble(X)))&
((?[X]:((wise(X)|generous(X))))<=>(?[X]:((~rich(X)&quiet(X)))))&
(![X]:((~humble(X)<~>~generous(X))=>(~strong(X)<~>~generous(X))))&
(![X]:((~rich(X)<~>~old(X))=>(~quiet(X)&~generous(X))))&
(((~kind(john)&~creative(john)))=>((funny(john)<~>tall(john))))&
(((happy(susan)|gener... | generous(alice) | [
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5772225342380829903410520
% SZS output start Proof for 5772225342380829903410520
2. ? [X0] : (generous(X0) | wise(X0)) <=> ? [X0] : (quiet(X0) & ~rich(X0)) [input p1]
15. ! [X0] : ((quiet(X0) <~> strong(X0)) <=> strong(X0)) [input p14]
24. generous(alice) [input hypothesis]
25. ? [X0] : (... | 0 |
Everyone who is either patient or brave is both strong and not strong.
If alice is not generous or patient then someone is old or brave and vice versa.
Everyone who is not happy or not creative is both kind and generous and vice versa.
If someone is either not tall or calm then someone is both rich and creative.
If ali... | Lucy is brave. | contradiction | (![X]:((patient(X)<~>brave(X))=>(strong(X)&~strong(X))))&
(((~generous(alice)|patient(alice)))<=>(?[X]:((old(X)|brave(X)))))&
(![X]:((~happy(X)|~creative(X))<=>(kind(X)&generous(X))))&
((?[X]:((~tall(X)<~>calm(X))))=>(?[X]:((rich(X)&creative(X)))))&
(((~brave(alice)<~>~rich(alice)))<=>((curious(alice)<~>~rich(alice))))... | brave(lucy) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7273254842639649335777942
% SZS output start Proof for 7273254842639649335777942
14. ~quiet(paul) <=> ? [X0] : (brave(X0) | ~curious(X0)) [input p13]
15. ! [X0] : ((~brave(X0) | ~quiet(X0)) => quiet(X0)) [input p14]
23. brave(lucy) [input hypothesis]
31. ! [X0] : (quiet(X0) | (brave(X0) &... | 0 |
Everyone who is either not strong or old is both not old and not generous.
Everyone who is not quiet or funny is either calm or not generous and vice versa.
If someone is both curious and not strong then john is creative and vice versa.
Everyone who is not strong is not curious or rich.
If john is not creative then som... | John is quiet. | entailment | (![X]:((~strong(X)<~>old(X))=>(~old(X)&~generous(X))))&
(![X]:((~quiet(X)|funny(X))<=>(calm(X)<~>~generous(X))))&
((?[X]:((curious(X)&~strong(X))))<=>(creative(john)))&
(![X]:(~strong(X)=>(~curious(X)|rich(X))))&
((~creative(john))<=>(?[X]:((~wise(X)|rich(X)))))&
((curious(susan))<=>((~patient(lucy)<~>old(lucy))))&
(![... | quiet(john) | [
"p1",
"p2",
"p3",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8259242191365390399491238
% SZS output start Proof for 8259242191365390399491238
2. ! [X0] : ((funny(X0) | ~quiet(X0)) <=> (calm(X0) <~> ~generous(X0))) [input p1]
3. ? [X0] : (~strong(X0) & curious(X0)) <=> creative(john) [input p2]
4. ! [X0] : (~strong(X0) => (rich(X0) | ~curious(X0))) ... | 0 |
If mary is either not brave or happy then john is curious or tall and vice versa.
Everyone who is not kind is both humble and not calm.
If paul is strong or wise then someone is wise or quiet.
Everyone who is both not old and not kind is both not calm and tall.
If alice is brave then someone is both not humble and not ... | Paul is kind. | entailment | (((~brave(mary)<~>happy(mary)))<=>((curious(john)|tall(john))))&
(![X]:(~kind(X)=>(humble(X)&~calm(X))))&
(((strong(paul)|wise(paul)))=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((~old(X)&~kind(X))=>(~calm(X)&tall(X))))&
((brave(alice))=>(?[X]:((~humble(X)&~creative(X)))))&
(![X]:(humble(X)=>(strong(X)&~humble(X))))&
(((happ... | kind(paul) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3423433904479266078204161
% SZS output start Proof for 3423433904479266078204161
2. ! [X0] : (~kind(X0) => (~calm(X0) & humble(X0))) [input p1]
6. ! [X0] : (humble(X0) => (~humble(X0) & strong(X0))) [input p5]
24. ~kind(paul) [input hypothesis]
27. ! [X0] : ((~calm(X0) & humble(X0)) | kin... | 0 |
If susan is creative or not strong then susan is both funny and not brave.
If someone is either not brave or not patient then fred is either not kind or calm.
Everyone who is both not wise and not funny is both rich and old and vice versa.
Everyone who is either not generous or not strong is both not strong and funny a... | Susan is generous. | entailment | (((creative(susan)|~strong(susan)))=>((funny(susan)&~brave(susan))))&
((?[X]:((~brave(X)<~>~patient(X))))=>((~kind(fred)<~>calm(fred))))&
(![X]:((~wise(X)&~funny(X))<=>(rich(X)&old(X))))&
(![X]:((~generous(X)<~>~strong(X))<=>(~strong(X)&funny(X))))&
(![X]:(~funny(X)=>(~brave(X)&~calm(X))))&
(![X]:((~happy(X)<~>~kind(X)... | generous(susan) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2473055955628467558886699
% SZS output start Proof for 2473055955628467558886699
1. (~strong(susan) | creative(susan)) => (~brave(susan) & funny(susan)) [input p0]
4. ! [X0] : ((~generous(X0) <~> ~strong(X0)) <=> (funny(X0) & ~strong(X0))) [input p3]
24. ~generous(susan) [input hypothesis... | 0 |
If someone is both not tall and kind then fred is either funny or creative and vice versa. Everyone who is both happy and quiet is not calm and vice versa. If susan is quiet or not strong then susan is both not happy and tall and vice versa. Everyone who is not curious is either kind or brave. Everyone who is both not ... | John is calm. | entailment | ((?[X]:((~tall(X)&kind(X))))<=>((funny(fred)<~>creative(fred))))&
(![X]:((happy(X)&quiet(X))<=>~calm(X)))&
(((quiet(susan)|~strong(susan)))<=>((~happy(susan)&tall(susan))))&
(![X]:(~curious(X)=>(kind(X)<~>brave(X))))&
(![X]:((~quiet(X)&~tall(X))<=>(~creative(X)&humble(X))))&
(![X]:(creative(X)=>kind(X)))&
(![X]:((~wise... | calm(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 570564088754245187457159
% SZS output start Proof for 570564088754245187457159
9. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> rich(X0)) [input p8]
25. ~calm(john) [input hypothesis]
49. ! [X0] : ((((~calm(X0) | rich(X0)) & (calm(X0) | ~rich(X0))) | ~rich(X0)) & (rich(X0) | ((~rich(X0) | ~calm(... | 0 |
If john is either not rich or brave then someone is both not happy and not creative and vice versa.
If someone is both kind and not old then someone is either not calm or not rich and vice versa.
Everyone who is either not tall or not rich is both humble and not old and vice versa.
Everyone who is not humble or not cre... | Fred is curious. | neutral | (((~rich(john)<~>brave(john)))<=>(?[X]:((~happy(X)&~creative(X)))))&
((?[X]:((kind(X)&~old(X))))<=>(?[X]:((~calm(X)<~>~rich(X)))))&
(![X]:((~tall(X)<~>~rich(X))<=>(humble(X)&~old(X))))&
(![X]:((~humble(X)|~creative(X))<=>(~strong(X)|patient(X))))&
(![X]:((~creative(X)|humble(X))=>~humble(X)))&
((?[X]:((funny(X)<~>~kind... | curious(fred) | [] | null | 0 |
If mary is both not curious and not wise then someone is either not funny or brave and vice versa.
If paul is either tall or not quiet then lucy is both not wise and not curious.
Everyone who is wise is not funny or not happy.
If someone is both not wise and brave then someone is kind or creative.
Everyone who is kind ... | John is not old. | entailment | (((~curious(mary)&~wise(mary)))<=>(?[X]:((~funny(X)<~>brave(X)))))&
(((tall(paul)<~>~quiet(paul)))=>((~wise(lucy)&~curious(lucy))))&
(![X]:(wise(X)=>(~funny(X)|~happy(X))))&
((?[X]:((~wise(X)&brave(X))))=>(?[X]:((kind(X)|creative(X)))))&
(![X]:(kind(X)<=>happy(X)))&
(((strong(alice)&kind(alice)))<=>(?[X]:((~humble(X)|r... | ~old(john) | [
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2079415886175312984161
% SZS output start Proof for 2079415886175312984161
7. ! [X0] : ((strong(X0) | ~curious(X0)) => (rich(X0) & ~patient(X0))) [input p6]
10. ! [X0] : ((old(X0) | ~creative(X0)) => (~curious(X0) & quiet(X0))) [input p9]
12. ! [X0] : ((~rich(X0) <~> curious(X0)) <=> (tal... | 0 |
If someone is creative or not creative then someone is not humble and vice versa. Everyone who is both not tall and wise is not old or not kind and vice versa. Everyone who is either generous or funny is humble or not curious. Everyone who is not curious or creative is patient or not generous and vice versa. If susan i... | Susan is not rich. | contradiction | ((?[X]:((creative(X)|~creative(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~tall(X)&wise(X))<=>(~old(X)|~kind(X))))&
(![X]:((generous(X)<~>funny(X))=>(humble(X)|~curious(X))))&
(![X]:((~curious(X)|creative(X))<=>(patient(X)|~generous(X))))&
((~tall(susan))=>((happy(paul)&~funny(paul))))&
((?[X]:(generous(X)))<=>(creative(ali... | ~rich(susan) | [
"p1",
"p4",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8178635446782940928139
% SZS output start Proof for 8178635446782940928139
2. ! [X0] : ((wise(X0) & ~tall(X0)) <=> (~kind(X0) | ~old(X0))) [input p1]
5. ~tall(susan) => (~funny(paul) & happy(paul)) [input p4]
9. ! [X0] : (kind(X0) => (~strong(X0) & rich(X0))) [input p8]
10. (~brave(paul) ... | 0 |
Everyone who is both calm and curious is both not strong and brave. If someone is either quiet or kind then alice is either not humble or not quiet and vice versa. Everyone who is both not generous and happy is both not happy and brave. Everyone who is strong is old or not curious. If john is not quiet or generous then... | John is tall. | neutral | (![X]:((calm(X)&curious(X))=>(~strong(X)&brave(X))))&
((?[X]:((quiet(X)<~>kind(X))))<=>((~humble(alice)<~>~quiet(alice))))&
(![X]:((~generous(X)&happy(X))=>(~happy(X)&brave(X))))&
(![X]:(strong(X)=>(old(X)|~curious(X))))&
(((~quiet(john)|generous(john)))<=>(?[X]:(~old(X))))&
(![X]:((rich(X)&~generous(X))=>(generous(X)<... | tall(john) | [] | null | 0 |
Everyone who is either not creative or brave is either not old or not patient and vice versa.
If susan is funny then someone is not creative or not kind and vice versa.
If mary is not tall or kind then alice is not generous or funny.
Everyone who is both not generous and not creative is either calm or creative and vice... | Susan is generous. | entailment | (![X]:((~creative(X)<~>brave(X))<=>(~old(X)<~>~patient(X))))&
((funny(susan))<=>(?[X]:((~creative(X)|~kind(X)))))&
(((~tall(mary)|kind(mary)))=>((~generous(alice)|funny(alice))))&
(![X]:((~generous(X)&~creative(X))<=>(calm(X)<~>creative(X))))&
((~rich(john))=>((wise(alice)&~kind(alice))))&
(![X]:((generous(X)&~rich(X))... | generous(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5497706089855529674326465
% SZS output start Proof for 5497706089855529674326465
8. ! [X0] : ((~generous(X0) | ~wise(X0)) <=> (~patient(X0) & generous(X0))) [input p7]
23. ~generous(susan) [input hypothesis]
46. ! [X0] : (((~generous(X0) | ~wise(X0)) | (patient(X0) | ~generous(X0))) & ((~... | 0 |
If someone is either humble or generous then paul is tall or not strong and vice versa.
Everyone who is both not tall and not patient is both not generous and not brave.
If someone is curious then susan is either not strong or not old.
If someone is brave then alice is either creative or generous and vice versa.
Everyo... | Susan is not brave. | entailment | ((?[X]:((humble(X)<~>generous(X))))<=>((tall(paul)|~strong(paul))))&
(![X]:((~tall(X)&~patient(X))=>(~generous(X)&~brave(X))))&
((?[X]:(curious(X)))=>((~strong(susan)<~>~old(susan))))&
((?[X]:(brave(X)))<=>((creative(alice)<~>generous(alice))))&
(![X]:((~old(X)|~brave(X))=>(~patient(X)|~strong(X))))&
((?[X]:((~humble(X... | ~brave(susan) | [
"p1",
"p2",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8503009114147457262475589
% SZS output start Proof for 8503009114147457262475589
2. ! [X0] : ((~patient(X0) & ~tall(X0)) => (~brave(X0) & ~generous(X0))) [input p1]
3. ? [X0] : curious(X0) => (~strong(susan) <~> ~old(susan)) [input p2]
10. ! [X0] : ((~strong(X0) & humble(X0)) <=> (~curiou... | 0 |
Everyone who is either not kind or happy is either not calm or not brave.
If alice is not tall or not rich then someone is either rich or not humble.
If someone is either not kind or kind then someone is either kind or not tall and vice versa.
If someone is kind then someone is not strong and vice versa.
Everyone who i... | Lucy is not wise. | neutral | (![X]:((~kind(X)<~>happy(X))=>(~calm(X)<~>~brave(X))))&
(((~tall(alice)|~rich(alice)))=>(?[X]:((rich(X)<~>~humble(X)))))&
((?[X]:((~kind(X)<~>kind(X))))<=>(?[X]:((kind(X)<~>~tall(X)))))&
((?[X]:(kind(X)))<=>(?[X]:(~strong(X))))&
(![X]:((rich(X)<~>~generous(X))<=>patient(X)))&
((?[X]:((tall(X)&~kind(X))))=>(?[X]:((funny... | ~wise(lucy) | [] | null | 0 |
Everyone who is humble is not rich or not tall.
If john is both not generous and not calm then john is calm or funny.
Everyone who is not old is strong or not patient and vice versa.
Everyone who is both not brave and old is either humble or old and vice versa.
Everyone who is not humble is both not kind and tall and v... | John is creative. | neutral | (![X]:(humble(X)=>(~rich(X)|~tall(X))))&
(((~generous(john)&~calm(john)))=>((calm(john)|funny(john))))&
(![X]:(~old(X)<=>(strong(X)|~patient(X))))&
(![X]:((~brave(X)&old(X))<=>(humble(X)<~>old(X))))&
(![X]:(~humble(X)<=>(~kind(X)&tall(X))))&
((?[X]:((~calm(X)|calm(X))))=>(?[X]:((~curious(X)<~>~generous(X)))))&
(![X]:((... | creative(john) | [] | null | 0 |
If mary is creative or not funny then someone is either quiet or not rich and vice versa.
If paul is both not brave and creative then john is wise and vice versa.
If someone is not funny then someone is not curious or old and vice versa.
Everyone who is either not brave or strong is happy or not wise and vice versa.
Ev... | Susan is not wise. | neutral | (((creative(mary)|~funny(mary)))<=>(?[X]:((quiet(X)<~>~rich(X)))))&
(((~brave(paul)&creative(paul)))<=>(wise(john)))&
((?[X]:(~funny(X)))<=>(?[X]:((~curious(X)|old(X)))))&
(![X]:((~brave(X)<~>strong(X))<=>(happy(X)|~wise(X))))&
(![X]:((happy(X)<~>~curious(X))=>(~rich(X)&kind(X))))&
(![X]:((~patient(X)&creative(X))<=>(~... | ~wise(susan) | [] | null | 0 |
Everyone who is not quiet is either not rich or not old and vice versa. Everyone who is either not creative or not tall is either rich or not old. Everyone who is either not generous or not calm is calm or not kind and vice versa. If john is either curious or generous then someone is either funny or not brave and vice ... | Susan is wise. | neutral | (![X]:(~quiet(X)<=>(~rich(X)<~>~old(X))))&
(![X]:((~creative(X)<~>~tall(X))=>(rich(X)<~>~old(X))))&
(![X]:((~generous(X)<~>~calm(X))<=>(calm(X)|~kind(X))))&
(((curious(john)<~>generous(john)))<=>(?[X]:((funny(X)<~>~brave(X)))))&
((~tall(susan))=>((~creative(john)|creative(john))))&
(![X]:((quiet(X)&brave(X))<=>~funny(X... | wise(susan) | [] | null | 0 |
Everyone who is not patient or not strong is not tall or calm and vice versa.
Everyone who is funny or not curious is kind or not old and vice versa.
If someone is not curious then lucy is either tall or kind and vice versa.
If paul is either strong or old then john is generous and vice versa.
Everyone who is both not ... | Alice is not strong. | entailment | (![X]:((~patient(X)|~strong(X))<=>(~tall(X)|calm(X))))&
(![X]:((funny(X)|~curious(X))<=>(kind(X)|~old(X))))&
((?[X]:(~curious(X)))<=>((tall(lucy)<~>kind(lucy))))&
(((strong(paul)<~>old(paul)))<=>(generous(john)))&
(![X]:((~quiet(X)&humble(X))=>(quiet(X)<~>~calm(X))))&
(((~wise(fred)&kind(fred)))<=>(?[X]:((strong(X)|bra... | ~strong(alice) | [
"p1",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 611553716413777811858632
% SZS output start Proof for 611553716413777811858632
2. ! [X0] : ((~curious(X0) | funny(X0)) <=> (~old(X0) | kind(X0))) [input p1]
6. (kind(fred) & ~wise(fred)) <=> ? [X0] : (brave(X0) | strong(X0)) [input p5]
20. curious(fred) & ~funny(fred) [input p19]
25. stro... | 0 |
If someone is either not patient or not kind then susan is both not humble and tall and vice versa. Everyone who is not tall or humble is either not creative or strong. Everyone who is not generous or quiet is calm or not generous. Everyone who is not funny or generous is not tall or not funny and vice versa. Everyone ... | Susan is not quiet. | neutral | ((?[X]:((~patient(X)<~>~kind(X))))<=>((~humble(susan)&tall(susan))))&
(![X]:((~tall(X)|humble(X))=>(~creative(X)<~>strong(X))))&
(![X]:((~generous(X)|quiet(X))=>(calm(X)|~generous(X))))&
(![X]:((~funny(X)|generous(X))<=>(~tall(X)|~funny(X))))&
(![X]:((brave(X)<~>~generous(X))=>(curious(X)<~>~curious(X))))&
(![X]:((~hum... | ~quiet(susan) | [] | null | 0 |
Everyone who is either not wise or not tall is both generous and not strong and vice versa. Everyone who is either not tall or brave is either not quiet or not calm and vice versa. Everyone who is not funny or kind is both rich and wise and vice versa. Everyone who is not calm or not tall is old. If someone is rich the... | John is not funny. | contradiction | (![X]:((~wise(X)<~>~tall(X))<=>(generous(X)&~strong(X))))&
(![X]:((~tall(X)<~>brave(X))<=>(~quiet(X)<~>~calm(X))))&
(![X]:((~funny(X)|kind(X))<=>(rich(X)&wise(X))))&
(![X]:((~calm(X)|~tall(X))=>old(X)))&
((?[X]:(rich(X)))=>(~rich(paul)))&
(![X]:(generous(X)<=>(~tall(X)<~>~generous(X))))&
(![X]:((humble(X)&~kind(X))<=>(... | ~funny(john) | [
"p2",
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3350922093529387290183493
% SZS output start Proof for 3350922093529387290183493
3. ! [X0] : ((kind(X0) | ~funny(X0)) <=> (wise(X0) & rich(X0))) [input p2]
6. ! [X0] : (generous(X0) <=> (~tall(X0) <~> ~generous(X0))) [input p5]
8. ! [X0] : ((~kind(X0) | wise(X0)) => (wise(X0) <~> ~curious... | 0 |
Everyone who is both humble and not strong is either generous or not kind. Everyone who is both wise and generous is both kind and not creative and vice versa. If someone is not happy or curious then someone is either brave or quiet. Everyone who is not brave or not happy is curious. If someone is either not rich or cr... | Lucy is not curious. | contradiction | (![X]:((humble(X)&~strong(X))=>(generous(X)<~>~kind(X))))&
(![X]:((wise(X)&generous(X))<=>(kind(X)&~creative(X))))&
((?[X]:((~happy(X)|curious(X))))=>(?[X]:((brave(X)<~>quiet(X)))))&
(![X]:((~brave(X)|~happy(X))=>curious(X)))&
((?[X]:((~rich(X)<~>creative(X))))=>(?[X]:(~humble(X))))&
((?[X]:((~quiet(X)&~funny(X))))<=>(... | ~curious(lucy) | [
"p3",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2844425636867095827831632
% SZS output start Proof for 2844425636867095827831632
4. ! [X0] : ((~happy(X0) | ~brave(X0)) => curious(X0)) [input p3]
22. ~happy(lucy) & ~patient(lucy) [input p21]
25. ~curious(lucy) [input hypothesis]
34. ! [X0] : (curious(X0) | (happy(X0) & brave(X0))) [ennf... | 0 |
Everyone who is either quiet or rich is either happy or humble.
Everyone who is either generous or not brave is either not calm or not rich and vice versa.
If someone is brave then someone is either generous or not humble.
Everyone who is funny is funny or not calm and vice versa.
Everyone who is not kind is not brave ... | John is not funny. | contradiction | (![X]:((quiet(X)<~>rich(X))=>(happy(X)<~>humble(X))))&
(![X]:((generous(X)<~>~brave(X))<=>(~calm(X)<~>~rich(X))))&
((?[X]:(brave(X)))=>(?[X]:((generous(X)<~>~humble(X)))))&
(![X]:(funny(X)<=>(funny(X)|~calm(X))))&
(![X]:(~kind(X)<=>~brave(X)))&
(![X]:((quiet(X)|~kind(X))<=>generous(X)))&
((?[X]:((~generous(X)<~>happy(X... | ~funny(john) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1300296040064899362352875
% SZS output start Proof for 1300296040064899362352875
4. ! [X0] : (funny(X0) <=> (~calm(X0) | funny(X0))) [input p3]
15. ! [X0] : ((brave(X0) <~> ~funny(X0)) <=> (calm(X0) <~> ~brave(X0))) [input p14]
25. ~funny(john) [input hypothesis]
43. ! [X0] : ((funny(X0) ... | 0 |
Everyone who is quiet is not generous and vice versa. Everyone who is generous is funny and vice versa. If susan is creative or quiet then someone is not patient. If someone is both generous and not generous then someone is either not kind or not tall. If susan is not quiet or brave then someone is either not strong or... | Alice is not strong. | contradiction | (![X]:(quiet(X)<=>~generous(X)))&
(![X]:(generous(X)<=>funny(X)))&
(((creative(susan)|quiet(susan)))=>(?[X]:(~patient(X))))&
((?[X]:((generous(X)&~generous(X))))=>(?[X]:((~kind(X)<~>~tall(X)))))&
(((~quiet(susan)|brave(susan)))<=>(?[X]:((~strong(X)<~>~tall(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((quiet(X)<~>~old(X)))))... | ~strong(alice) | [
"p0",
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7833531517510295164663632
% SZS output start Proof for 7833531517510295164663632
1. ! [X0] : (quiet(X0) <=> ~generous(X0)) [input p0]
2. ! [X0] : (generous(X0) <=> funny(X0)) [input p1]
7. ! [X0] : ((quiet(X0) <~> ~funny(X0)) <=> (~strong(X0) | ~generous(X0))) [input p6]
23. ~strong(alice... | 0 |
Everyone who is either patient or not creative is either not quiet or not patient and vice versa. Everyone who is both not calm and funny is generous and vice versa. Everyone who is wise is not creative or not kind and vice versa. Everyone who is humble is both not quiet and not brave and vice versa. If lucy is quiet t... | Lucy is not quiet. | contradiction | (![X]:((patient(X)<~>~creative(X))<=>(~quiet(X)<~>~patient(X))))&
(![X]:((~calm(X)&funny(X))<=>generous(X)))&
(![X]:(wise(X)<=>(~creative(X)|~kind(X))))&
(![X]:(humble(X)<=>(~quiet(X)&~brave(X))))&
((quiet(lucy))<=>((calm(susan)|~creative(susan))))&
(![X]:((rich(X)|curious(X))<=>~happy(X)))&
((?[X]:((brave(X)<~>~curiou... | ~quiet(lucy) | [
"p0",
"p2",
"p7",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5581148739673573743177613
% SZS output start Proof for 5581148739673573743177613
1. ! [X0] : ((patient(X0) <~> ~creative(X0)) <=> (~quiet(X0) <~> ~patient(X0))) [input p0]
3. ! [X0] : (wise(X0) <=> (~kind(X0) | ~creative(X0))) [input p2]
8. ! [X0] : (~kind(X0) <=> (~humble(X0) & creative(... | 0 |
Everyone who is creative or funny is old or not quiet and vice versa.
Everyone who is humble is either kind or funny and vice versa.
Everyone who is not quiet or rich is not strong or quiet.
Everyone who is not funny is not strong.
Everyone who is kind is either not generous or funny and vice versa.
Everyone who is bot... | Lucy is not funny. | neutral | (![X]:((creative(X)|funny(X))<=>(old(X)|~quiet(X))))&
(![X]:(humble(X)<=>(kind(X)<~>funny(X))))&
(![X]:((~quiet(X)|rich(X))=>(~strong(X)|quiet(X))))&
(![X]:(~funny(X)=>~strong(X)))&
(![X]:(kind(X)<=>(~generous(X)<~>funny(X))))&
(![X]:((patient(X)&~old(X))=>(curious(X)&happy(X))))&
(![X]:(curious(X)=>(kind(X)&strong(X))... | ~funny(lucy) | [] | null | 0 |
Everyone who is either brave or funny is both rich and not patient and vice versa.
Everyone who is not wise or not calm is not rich or not creative.
Everyone who is tall or not strong is either not calm or brave and vice versa.
If lucy is not curious or not happy then someone is not old or not kind.
Everyone who is bot... | John is funny. | contradiction | (![X]:((brave(X)<~>funny(X))<=>(rich(X)&~patient(X))))&
(![X]:((~wise(X)|~calm(X))=>(~rich(X)|~creative(X))))&
(![X]:((tall(X)|~strong(X))<=>(~calm(X)<~>brave(X))))&
(((~curious(lucy)|~happy(lucy)))=>(?[X]:((~old(X)|~kind(X)))))&
(![X]:((calm(X)&tall(X))=>~kind(X)))&
(![X]:((creative(X)|~kind(X))<=>(~calm(X)<~>happy(X)... | funny(john) | [
"p12",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 249221615799583887740281
% SZS output start Proof for 249221615799583887740281
13. ! [X0] : ((creative(X0) <~> ~funny(X0)) <=> (strong(X0) & ~creative(X0))) [input p12]
14. ! [X0] : ((strong(X0) <~> ~creative(X0)) => (rich(X0) & ~curious(X0))) [input p13]
15. (generous(john) & curious(joh... | 0 |
Everyone who is creative or not calm is both not kind and creative.
Everyone who is not patient or curious is both not rich and not tall.
If someone is both not tall and rich then someone is creative or not happy and vice versa.
Everyone who is not strong is not tall or tall and vice versa.
If mary is either patient or... | John is not funny. | neutral | (![X]:((creative(X)|~calm(X))=>(~kind(X)&creative(X))))&
(![X]:((~patient(X)|curious(X))=>(~rich(X)&~tall(X))))&
((?[X]:((~tall(X)&rich(X))))<=>(?[X]:((creative(X)|~happy(X)))))&
(![X]:(~strong(X)<=>(~tall(X)|tall(X))))&
(((patient(mary)<~>~funny(mary)))=>(?[X]:(~humble(X))))&
(![X]:(~patient(X)<=>creative(X)))&
(![X]:... | ~funny(john) | [] | null | 0 |
Everyone who is either quiet or curious is patient. If someone is not strong then mary is creative or quiet. Everyone who is either not creative or not generous is humble and vice versa. Everyone who is both quiet and not happy is not generous or tall and vice versa. If fred is tall or generous then someone is either n... | Mary is not rich. | entailment | (![X]:((quiet(X)<~>curious(X))=>patient(X)))&
((?[X]:(~strong(X)))=>((creative(mary)|quiet(mary))))&
(![X]:((~creative(X)<~>~generous(X))<=>humble(X)))&
(![X]:((quiet(X)&~happy(X))<=>(~generous(X)|tall(X))))&
(((tall(fred)|generous(fred)))<=>(?[X]:((~generous(X)<~>~curious(X)))))&
((?[X]:((funny(X)|~tall(X))))<=>(funny... | ~rich(mary) | [
"p3",
"p5",
"p7",
"p9",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2370081563911961138187783
% SZS output start Proof for 2370081563911961138187783
4. ! [X0] : ((~happy(X0) & quiet(X0)) <=> (tall(X0) | ~generous(X0))) [input p3]
6. ? [X0] : (~tall(X0) | funny(X0)) <=> funny(john) [input p5]
8. ! [X0] : ((~wise(X0) <~> ~curious(X0)) <=> (rich(X0) <~> ~fun... | 0 |
Everyone who is not quiet is both tall and happy. If someone is strong or not tall then someone is either brave or not rich and vice versa. If fred is brave or not generous then someone is both not quiet and not funny and vice versa. Everyone who is tall or quiet is both not wise and calm. If susan is strong then someo... | Fred is calm. | entailment | (![X]:(~quiet(X)=>(tall(X)&happy(X))))&
((?[X]:((strong(X)|~tall(X))))<=>(?[X]:((brave(X)<~>~rich(X)))))&
(((brave(fred)|~generous(fred)))<=>(?[X]:((~quiet(X)&~funny(X)))))&
(![X]:((tall(X)|quiet(X))=>(~wise(X)&calm(X))))&
((strong(susan))=>(?[X]:((~patient(X)&old(X)))))&
(![X]:((~quiet(X)<~>~generous(X))=>(~quiet(X)&~... | calm(fred) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3618234813583617142717431
% SZS output start Proof for 3618234813583617142717431
1. ! [X0] : (~quiet(X0) => (happy(X0) & tall(X0))) [input p0]
4. ! [X0] : ((quiet(X0) | tall(X0)) => (calm(X0) & ~wise(X0))) [input p3]
22. ~calm(fred) [input hypothesis]
26. ! [X0] : ((happy(X0) & tall(X0)) ... | 0 |
Everyone who is not generous is not creative.
Everyone who is not quiet is strong.
Everyone who is calm or not generous is not humble and vice versa.
Everyone who is not humble is not wise and vice versa.
If someone is not humble or quiet then paul is calm and vice versa.
If susan is both quiet and not calm then fred i... | Lucy is wise. | contradiction | (![X]:(~generous(X)=>~creative(X)))&
(![X]:(~quiet(X)=>strong(X)))&
(![X]:((calm(X)|~generous(X))<=>~humble(X)))&
(![X]:(~humble(X)<=>~wise(X)))&
((?[X]:((~humble(X)|quiet(X))))<=>(calm(paul)))&
(((quiet(susan)&~calm(susan)))=>((kind(fred)&happy(fred))))&
(![X]:((~tall(X)|tall(X))=>(patient(X)&curious(X))))&
((?[X]:(~c... | wise(lucy) | [
"p2",
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2931165541496894659106215
% SZS output start Proof for 2931165541496894659106215
3. ! [X0] : ((~generous(X0) | calm(X0)) <=> ~humble(X0)) [input p2]
4. ! [X0] : (~humble(X0) <=> ~wise(X0)) [input p3]
17. calm(lucy) [input p16]
23. wise(lucy) [input hypothesis]
38. ! [X0] : (((~generous(X0... | 0 |
If alice is either not brave or curious then someone is calm or funny and vice versa. Everyone who is both tall and patient is strong or not strong and vice versa. Everyone who is either not quiet or not strong is quiet and vice versa. If someone is either happy or not strong then paul is either generous or strong and ... | Fred is patient. | entailment | (((~brave(alice)<~>curious(alice)))<=>(?[X]:((calm(X)|funny(X)))))&
(![X]:((tall(X)&patient(X))<=>(strong(X)|~strong(X))))&
(![X]:((~quiet(X)<~>~strong(X))<=>quiet(X)))&
((?[X]:((happy(X)<~>~strong(X))))<=>((generous(paul)<~>strong(paul))))&
((?[X]:((brave(X)|~brave(X))))=>(?[X]:(~kind(X))))&
(((quiet(mary)&calm(mary))... | patient(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3423372194731712307256257
% SZS output start Proof for 3423372194731712307256257
2. ! [X0] : ((patient(X0) & tall(X0)) <=> (~strong(X0) | strong(X0))) [input p1]
23. ~patient(fred) [input hypothesis]
39. ! [X0] : (((patient(X0) & tall(X0)) | (strong(X0) & ~strong(X0))) & ((~strong(X0) | s... | 0 |
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