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 john is both not curious and curious then fred is not tall and vice versa. Everyone who is not quiet or not curious is both not kind and patient and vice versa. If paul is either not strong or not humble then paul is both rich and not old. Everyone who is not creative is not calm or not brave and vice versa. Everyon... | Mary is brave. | entailment | (((~curious(john)&curious(john)))<=>(~tall(fred)))&
(![X]:((~quiet(X)|~curious(X))<=>(~kind(X)&patient(X))))&
(((~strong(paul)<~>~humble(paul)))=>((rich(paul)&~old(paul))))&
(![X]:(~creative(X)<=>(~calm(X)|~brave(X))))&
(![X]:(happy(X)=>(curious(X)&~strong(X))))&
(![X]:((~quiet(X)|~humble(X))=>(~patient(X)|tall(X))))&
... | brave(mary) | [
"p1",
"p7",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5541336824953734135316548
% SZS output start Proof for 5541336824953734135316548
2. ! [X0] : ((~curious(X0) | ~quiet(X0)) <=> (patient(X0) & ~kind(X0))) [input p1]
8. ! [X0] : ((old(X0) & ~wise(X0)) <=> (old(X0) & brave(X0))) [input p7]
10. ! [X0] : ((~brave(X0) | patient(X0)) => (~wise(X... | 0 |
Everyone who is either not brave or quiet is both happy and wise.
If someone is quiet then someone is both not generous and not tall and vice versa.
If someone is both not old and brave then someone is both humble and curious and vice versa.
If someone is both not happy and funny then alice is both wise and brave.
If j... | Lucy is not old. | neutral | (![X]:((~brave(X)<~>quiet(X))=>(happy(X)&wise(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((~generous(X)&~tall(X)))))&
((?[X]:((~old(X)&brave(X))))<=>(?[X]:((humble(X)&curious(X)))))&
((?[X]:((~happy(X)&funny(X))))=>((wise(alice)&brave(alice))))&
(((brave(john)<~>happy(john)))<=>(?[X]:((~brave(X)&~strong(X)))))&
(![X]:((~quiet(X... | ~old(lucy) | [] | null | 0 |
Everyone who is either rich or not kind is not creative.
Everyone who is either humble or not curious is either creative or not creative.
If mary is either wise or not quiet then alice is either calm or not funny.
If paul is both generous and quiet then lucy is brave or not calm and vice versa.
If someone is both not o... | Lucy is calm. | entailment | (![X]:((rich(X)<~>~kind(X))=>~creative(X)))&
(![X]:((humble(X)<~>~curious(X))=>(creative(X)<~>~creative(X))))&
(((wise(mary)<~>~quiet(mary)))=>((calm(alice)<~>~funny(alice))))&
(((generous(paul)&quiet(paul)))<=>((brave(lucy)|~calm(lucy))))&
((?[X]:((~old(X)&humble(X))))<=>((wise(lucy)|~humble(lucy))))&
(((~humble(susan... | calm(lucy) | [
"p3",
"p5",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7175493695212505906306056
% SZS output start Proof for 7175493695212505906306056
4. (quiet(paul) & generous(paul)) <=> (~calm(lucy) | brave(lucy)) [input p3]
6. (tall(susan) | ~humble(susan)) <=> ~happy(paul) [input p5]
12. ! [X0] : (~tall(X0) <=> (~humble(X0) | strong(X0))) [input p11]
1... | 0 |
Everyone who is either brave or not brave is happy. If john is not funny or rich then someone is either funny or not humble. If someone is either not generous or wise then someone is both kind and calm. Everyone who is both generous and not creative is strong or not funny and vice versa. Everyone who is both not old an... | John is strong. | entailment | (![X]:((brave(X)<~>~brave(X))=>happy(X)))&
(((~funny(john)|rich(john)))=>(?[X]:((funny(X)<~>~humble(X)))))&
((?[X]:((~generous(X)<~>wise(X))))=>(?[X]:((kind(X)&calm(X)))))&
(![X]:((generous(X)&~creative(X))<=>(strong(X)|~funny(X))))&
(![X]:((~old(X)&~patient(X))=>rich(X)))&
(![X]:((~strong(X)&calm(X))<=>~calm(X)))&
((s... | strong(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3770469823026470799244943
% SZS output start Proof for 3770469823026470799244943
6. ! [X0] : ((calm(X0) & ~strong(X0)) <=> ~calm(X0)) [input p5]
24. ~strong(john) [input hypothesis]
48. ! [X0] : (((calm(X0) & ~strong(X0)) | calm(X0)) & (~calm(X0) | (~calm(X0) | strong(X0)))) [nnf transfor... | 0 |
If someone is tall then alice is both not funny and not strong and vice versa. Everyone who is not rich or calm is both not calm and not creative. If susan is not happy then someone is either patient or not creative. If alice is both not creative and not kind then paul is happy. Everyone who is not patient is both wise... | Alice is not kind. | entailment | ((?[X]:(tall(X)))<=>((~funny(alice)&~strong(alice))))&
(![X]:((~rich(X)|calm(X))=>(~calm(X)&~creative(X))))&
((~happy(susan))=>(?[X]:((patient(X)<~>~creative(X)))))&
(((~creative(alice)&~kind(alice)))=>(happy(paul)))&
(![X]:(~patient(X)=>(wise(X)&~brave(X))))&
((~quiet(mary))<=>((~quiet(john)&~kind(john))))&
(![X]:(kin... | ~kind(alice) | [
"p4",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5372071520493188617885854
% SZS output start Proof for 5372071520493188617885854
5. ! [X0] : (~patient(X0) => (~brave(X0) & wise(X0))) [input p4]
7. ! [X0] : (kind(X0) <=> brave(X0)) [input p6]
16. ! [X0] : ((~humble(X0) | kind(X0)) => (~patient(X0) & ~calm(X0))) [input p15]
23. kind(alic... | 0 |
If someone is not generous then paul is both wise and old.
Everyone who is both not strong and brave is creative or funny and vice versa.
Everyone who is kind or wise is both not brave and not funny.
Everyone who is both not humble and brave is happy and vice versa.
Everyone who is both brave and funny is both strong a... | Lucy is tall. | neutral | ((?[X]:(~generous(X)))=>((wise(paul)&old(paul))))&
(![X]:((~strong(X)&brave(X))<=>(creative(X)|funny(X))))&
(![X]:((kind(X)|wise(X))=>(~brave(X)&~funny(X))))&
(![X]:((~humble(X)&brave(X))<=>happy(X)))&
(![X]:((brave(X)&funny(X))=>(strong(X)&~brave(X))))&
(![X]:((~humble(X)|strong(X))=>~old(X)))&
(((~old(paul)<~>kind(pa... | tall(lucy) | [] | null | 0 |
Everyone who is either not wise or not calm is quiet or curious and vice versa.
Everyone who is either tall or not happy is not rich and vice versa.
Everyone who is not generous or brave is both generous and not kind.
Everyone who is either not creative or not brave is either not creative or strong and vice versa.
Ever... | Lucy is kind. | contradiction | (![X]:((~wise(X)<~>~calm(X))<=>(quiet(X)|curious(X))))&
(![X]:((tall(X)<~>~happy(X))<=>~rich(X)))&
(![X]:((~generous(X)|brave(X))=>(generous(X)&~kind(X))))&
(![X]:((~creative(X)<~>~brave(X))<=>(~creative(X)<~>strong(X))))&
(![X]:((patient(X)&curious(X))<=>(strong(X)|~wise(X))))&
(![X]:((humble(X)<~>~old(X))<=>(~generou... | kind(lucy) | [
"p2",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3761816719865142493983670
% SZS output start Proof for 3761816719865142493983670
3. ! [X0] : ((brave(X0) | ~generous(X0)) => (~kind(X0) & generous(X0))) [input p2]
20. brave(lucy) [input p19]
25. kind(lucy) [input hypothesis]
26. ! [X0] : ((~kind(X0) & generous(X0)) | (~brave(X0) & genero... | 0 |
If john is rich or humble then mary is not creative or rich and vice versa.
Everyone who is either not calm or patient is either not rich or humble and vice versa.
Everyone who is either patient or kind is either not funny or not kind and vice versa.
Everyone who is not patient is either not rich or not happy.
Everyone... | John is old. | entailment | (((rich(john)|humble(john)))<=>((~creative(mary)|rich(mary))))&
(![X]:((~calm(X)<~>patient(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((patient(X)<~>kind(X))<=>(~funny(X)<~>~kind(X))))&
(![X]:(~patient(X)=>(~rich(X)<~>~happy(X))))&
(![X]:(brave(X)<=>(~wise(X)<~>calm(X))))&
(![X]:(brave(X)=>(~patient(X)|~wise(X))))&
(![X]:((... | old(john) | [
"p4",
"p6",
"p7",
"p10",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1112847460812465458635302
% SZS output start Proof for 1112847460812465458635302
5. ! [X0] : (brave(X0) <=> (~wise(X0) <~> calm(X0))) [input p4]
7. ! [X0] : ((generous(X0) <~> old(X0)) => (creative(X0) & rich(X0))) [input p6]
8. ! [X0] : (kind(X0) <=> (kind(X0) <~> rich(X0))) [input p7]
1... | 0 |
If susan is strong or not happy then someone is both not patient and calm and vice versa.
If someone is kind then someone is both strong and not strong.
Everyone who is both wise and generous is not patient and vice versa.
Everyone who is not creative or old is either not funny or not brave and vice versa.
If paul is b... | Fred is not old. | contradiction | (((strong(susan)|~happy(susan)))<=>(?[X]:((~patient(X)&calm(X)))))&
((?[X]:(kind(X)))=>(?[X]:((strong(X)&~strong(X)))))&
(![X]:((wise(X)&generous(X))<=>~patient(X)))&
(![X]:((~creative(X)|old(X))<=>(~funny(X)<~>~brave(X))))&
(((brave(paul)&~humble(paul)))<=>(?[X]:((strong(X)|~funny(X)))))&
((?[X]:((~brave(X)|curious(X)... | ~old(fred) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5128548793103651141341710
% SZS output start Proof for 5128548793103651141341710
7. ! [X0] : (creative(X0) => (strong(X0) & old(X0))) [input p6]
12. ! [X0] : ((creative(X0) & old(X0)) <=> (~creative(X0) | ~tall(X0))) [input p11]
23. ~old(fred) [input hypothesis]
35. ! [X0] : ((strong(X0) ... | 0 |
If paul is not brave then someone is either tall or not humble.
If someone is either not humble or not brave then alice is creative.
Everyone who is either not old or not creative is patient and vice versa.
If someone is quiet or not rich then someone is not strong or patient.
Everyone who is generous is either not old... | Alice is rich. | neutral | ((~brave(paul))=>(?[X]:((tall(X)<~>~humble(X)))))&
((?[X]:((~humble(X)<~>~brave(X))))=>(creative(alice)))&
(![X]:((~old(X)<~>~creative(X))<=>patient(X)))&
((?[X]:((quiet(X)|~rich(X))))=>(?[X]:((~strong(X)|patient(X)))))&
(![X]:(generous(X)<=>(~old(X)<~>quiet(X))))&
(((rich(paul)|~wise(paul)))=>(?[X]:((wise(X)&patient(X... | rich(alice) | [] | null | 0 |
Everyone who is either curious or old is both brave and not generous and vice versa.
If paul is either not curious or calm then alice is either not calm or not humble and vice versa.
Everyone who is either not quiet or strong is tall.
Everyone who is either strong or happy is not kind.
If john is either not creative or... | Mary is old. | contradiction | (![X]:((curious(X)<~>old(X))<=>(brave(X)&~generous(X))))&
(((~curious(paul)<~>calm(paul)))<=>((~calm(alice)<~>~humble(alice))))&
(![X]:((~quiet(X)<~>strong(X))=>tall(X)))&
(![X]:((strong(X)<~>happy(X))=>~kind(X)))&
(((~creative(john)<~>~humble(john)))<=>(?[X]:((calm(X)&~patient(X)))))&
((?[X]:((~curious(X)|creative(X))... | old(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7671296065970012873331964
% SZS output start Proof for 7671296065970012873331964
22. ~old(mary) & patient(mary) [input p21]
24. old(mary) [input hypothesis]
154. ~old(mary) [cnf transformation 22]
156. old(mary) [cnf transformation 24]
345. $false [subsumption resolution 156,154]
% SZS ou... | 0 |
If someone is not curious then someone is both not rich and not quiet and vice versa. Everyone who is generous or not quiet is both not patient and strong and vice versa. If someone is either rich or wise then susan is both not humble and quiet. Everyone who is generous is creative or brave and vice versa. Everyone who... | Susan is patient. | contradiction | ((?[X]:(~curious(X)))<=>(?[X]:((~rich(X)&~quiet(X)))))&
(![X]:((generous(X)|~quiet(X))<=>(~patient(X)&strong(X))))&
((?[X]:((rich(X)<~>wise(X))))=>((~humble(susan)&quiet(susan))))&
(![X]:(generous(X)<=>(creative(X)|brave(X))))&
(![X]:((~funny(X)|~brave(X))=>(~creative(X)|~patient(X))))&
((?[X]:((~generous(X)<~>~tall(X)... | patient(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5450833936026158940276204
% SZS output start Proof for 5450833936026158940276204
12. ! [X0] : (~patient(X0) <=> (patient(X0) | ~brave(X0))) [input p11]
23. patient(susan) [input hypothesis]
55. ! [X0] : ((~patient(X0) | (~patient(X0) & brave(X0))) & ((patient(X0) | ~brave(X0)) | patient(X... | 0 |
Everyone who is both not creative and wise is either not patient or not calm and vice versa. If someone is not old then fred is rich or strong. Everyone who is old or curious is both creative and quiet. If someone is either strong or happy then susan is patient or not wise and vice versa. Everyone who is not old is tal... | Lucy is old. | neutral | (![X]:((~creative(X)&wise(X))<=>(~patient(X)<~>~calm(X))))&
((?[X]:(~old(X)))=>((rich(fred)|strong(fred))))&
(![X]:((old(X)|curious(X))=>(creative(X)&quiet(X))))&
((?[X]:((strong(X)<~>happy(X))))<=>((patient(susan)|~wise(susan))))&
(![X]:(~old(X)<=>tall(X)))&
(![X]:((~quiet(X)|quiet(X))=>(quiet(X)|~quiet(X))))&
((rich(... | old(lucy) | [] | null | 0 |
Everyone who is not old or humble is not curious or brave.
Everyone who is not creative is either wise or not wise.
Everyone who is both wise and not creative is tall or not patient and vice versa.
If someone is both kind and happy then lucy is not quiet and vice versa.
Everyone who is quiet or not wise is either wise ... | John is funny. | neutral | (![X]:((~old(X)|humble(X))=>(~curious(X)|brave(X))))&
(![X]:(~creative(X)=>(wise(X)<~>~wise(X))))&
(![X]:((wise(X)&~creative(X))<=>(tall(X)|~patient(X))))&
((?[X]:((kind(X)&happy(X))))<=>(~quiet(lucy)))&
(![X]:((quiet(X)|~wise(X))<=>(wise(X)<~>~wise(X))))&
(![X]:((generous(X)&rich(X))<=>(~old(X)<~>~creative(X))))&
(((q... | funny(john) | [] | null | 0 |
If paul is both not creative and rich then someone is old or happy and vice versa.
If someone is both tall and not strong then someone is either calm or not patient.
If someone is both not creative and not wise then someone is both humble and not wise and vice versa.
Everyone who is tall or not brave is not happy and v... | John is curious. | contradiction | (((~creative(paul)&rich(paul)))<=>(?[X]:((old(X)|happy(X)))))&
((?[X]:((tall(X)&~strong(X))))=>(?[X]:((calm(X)<~>~patient(X)))))&
((?[X]:((~creative(X)&~wise(X))))<=>(?[X]:((humble(X)&~wise(X)))))&
(![X]:((tall(X)|~brave(X))<=>~happy(X)))&
(![X]:((generous(X)<~>creative(X))<=>(wise(X)<~>~curious(X))))&
((?[X]:(strong(X... | curious(john) | [
"p6",
"p12",
"p13",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 972369412632799705857841
% SZS output start Proof for 972369412632799705857841
7. (~rich(john) & ~kind(john)) <=> ? [X0] : patient(X0) [input p6]
13. ! [X0] : ((curious(X0) | humble(X0)) <=> (rich(X0) | ~old(X0))) [input p12]
14. ! [X0] : ((generous(X0) <~> ~generous(X0)) <=> (quiet(X0) <... | 0 |
If alice is kind then someone is not quiet or happy. If paul is not calm or not creative then john is both not kind and not quiet and vice versa. If someone is not patient or not funny then someone is curious and vice versa. Everyone who is either not generous or rich is both humble and rich. Everyone who is not curiou... | John is not old. | neutral | ((kind(alice))=>(?[X]:((~quiet(X)|happy(X)))))&
(((~calm(paul)|~creative(paul)))<=>((~kind(john)&~quiet(john))))&
((?[X]:((~patient(X)|~funny(X))))<=>(?[X]:(curious(X))))&
(![X]:((~generous(X)<~>rich(X))=>(humble(X)&rich(X))))&
(![X]:(~curious(X)<=>(quiet(X)|~brave(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((~tall(X)|humble(X)... | ~old(john) | [] | null | 0 |
If someone is not strong or not creative then john is both not creative and wise and vice versa. Everyone who is both humble and tall is funny or wise. Everyone who is not patient is funny. Everyone who is kind is both creative and not strong and vice versa. Everyone who is kind or not humble is both not quiet and calm... | Susan is not calm. | neutral | ((?[X]:((~strong(X)|~creative(X))))<=>((~creative(john)&wise(john))))&
(![X]:((humble(X)&tall(X))=>(funny(X)|wise(X))))&
(![X]:(~patient(X)=>funny(X)))&
(![X]:(kind(X)<=>(creative(X)&~strong(X))))&
(![X]:((kind(X)|~humble(X))<=>(~quiet(X)&calm(X))))&
((?[X]:((brave(X)&calm(X))))<=>((patient(mary)|~generous(mary))))&
(!... | ~calm(susan) | [] | null | 0 |
Everyone who is calm is quiet and vice versa.
Everyone who is either curious or not patient is both not creative and not calm.
If someone is not generous then alice is both not generous and not tall and vice versa.
If fred is either strong or happy then lucy is both patient and quiet.
If lucy is not funny then paul is ... | Paul is tall. | entailment | (![X]:(calm(X)<=>quiet(X)))&
(![X]:((curious(X)<~>~patient(X))=>(~creative(X)&~calm(X))))&
((?[X]:(~generous(X)))<=>((~generous(alice)&~tall(alice))))&
(((strong(fred)<~>happy(fred)))=>((patient(lucy)&quiet(lucy))))&
((~funny(lucy))<=>((happy(paul)&brave(paul))))&
(![X]:((~patient(X)&~humble(X))<=>~wise(X)))&
((?[X]:((... | tall(paul) | [
"p0",
"p1",
"p5",
"p7",
"p18",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2921452909365808927201426
% SZS output start Proof for 2921452909365808927201426
1. ! [X0] : (calm(X0) <=> quiet(X0)) [input p0]
2. ! [X0] : ((curious(X0) <~> ~patient(X0)) => (~calm(X0) & ~creative(X0))) [input p1]
6. ! [X0] : ((~humble(X0) & ~patient(X0)) <=> ~wise(X0)) [input p5]
8. ! ... | 0 |
If john is not brave then susan is not kind or not wise.
Everyone who is happy or not humble is patient or humble.
Everyone who is not brave or tall is both not patient and not humble and vice versa.
Everyone who is both not old and tall is both not calm and not tall and vice versa.
If john is not kind or not strong th... | Lucy is rich. | neutral | ((~brave(john))=>((~kind(susan)|~wise(susan))))&
(![X]:((happy(X)|~humble(X))=>(patient(X)|humble(X))))&
(![X]:((~brave(X)|tall(X))<=>(~patient(X)&~humble(X))))&
(![X]:((~old(X)&tall(X))<=>(~calm(X)&~tall(X))))&
(((~kind(john)|~strong(john)))<=>((~kind(fred)<~>wise(fred))))&
(![X]:((~funny(X)<~>patient(X))=>(~humble(X)... | rich(lucy) | [] | null | 0 |
Everyone who is creative is both humble and brave. If someone is both not strong and old then susan is not creative. Everyone who is not strong or quiet is either curious or old. Everyone who is both old and generous is not kind or not rich and vice versa. If alice is tall then someone is either not generous or not ric... | Lucy is not rich. | contradiction | (![X]:(creative(X)=>(humble(X)&brave(X))))&
((?[X]:((~strong(X)&old(X))))=>(~creative(susan)))&
(![X]:((~strong(X)|quiet(X))=>(curious(X)<~>old(X))))&
(![X]:((old(X)&generous(X))<=>(~kind(X)|~rich(X))))&
((tall(alice))<=>(?[X]:((~generous(X)<~>~rich(X)))))&
(((funny(fred)&~quiet(fred)))=>((~generous(lucy)<~>~wise(lucy)... | ~rich(lucy) | [
"p3",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4752077117821883964632850
% SZS output start Proof for 4752077117821883964632850
4. ! [X0] : ((generous(X0) & old(X0)) <=> (~rich(X0) | ~kind(X0))) [input p3]
8. ! [X0] : ((curious(X0) & ~old(X0)) <=> (~brave(X0) | ~wise(X0))) [input p7]
9. ! [X0] : ((patient(X0) | wise(X0)) <=> (patient(... | 0 |
Everyone who is not curious or not tall is either strong or not humble.
Everyone who is strong is not quiet or not tall.
Everyone who is either rich or creative is not kind and vice versa.
If john is not creative or not rich then susan is both not funny and tall.
Everyone who is not humble is not generous or kind.
If j... | Fred is kind. | contradiction | (![X]:((~curious(X)|~tall(X))=>(strong(X)<~>~humble(X))))&
(![X]:(strong(X)=>(~quiet(X)|~tall(X))))&
(![X]:((rich(X)<~>creative(X))<=>~kind(X)))&
(((~creative(john)|~rich(john)))=>((~funny(susan)&tall(susan))))&
(![X]:(~humble(X)=>(~generous(X)|kind(X))))&
(((~brave(john)|old(john)))<=>(humble(fred)))&
((?[X]:((~wise(X... | kind(fred) | [
"p2",
"p5",
"p7",
"p9",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1475096126832612055933295
% SZS output start Proof for 1475096126832612055933295
3. ! [X0] : ((rich(X0) <~> creative(X0)) <=> ~kind(X0)) [input p2]
6. (old(john) | ~brave(john)) <=> humble(fred) [input p5]
8. ! [X0] : ((~old(X0) | ~generous(X0)) => (humble(X0) <~> ~patient(X0))) [input p7... | 0 |
If someone is either creative or quiet then someone is both kind and not creative. If someone is not curious then john is old or calm and vice versa. If someone is tall then john is kind and vice versa. If susan is not brave then lucy is both patient and not quiet and vice versa. Everyone who is both not creative and c... | Susan is generous. | neutral | ((?[X]:((creative(X)<~>quiet(X))))=>(?[X]:((kind(X)&~creative(X)))))&
((?[X]:(~curious(X)))<=>((old(john)|calm(john))))&
((?[X]:(tall(X)))<=>(kind(john)))&
((~brave(susan))<=>((patient(lucy)&~quiet(lucy))))&
(![X]:((~creative(X)&curious(X))=>(wise(X)|~brave(X))))&
(((~tall(lucy)&~creative(lucy)))<=>((funny(mary)|~quiet... | generous(susan) | [] | null | 0 |
Everyone who is both not calm and not strong is either brave or tall and vice versa.
Everyone who is old is both humble and not kind and vice versa.
Everyone who is old is calm or not wise and vice versa.
If lucy is tall or rich then someone is not creative.
If susan is either generous or not humble then someone is eit... | John is humble. | contradiction | (![X]:((~calm(X)&~strong(X))<=>(brave(X)<~>tall(X))))&
(![X]:(old(X)<=>(humble(X)&~kind(X))))&
(![X]:(old(X)<=>(calm(X)|~wise(X))))&
(((tall(lucy)|rich(lucy)))=>(?[X]:(~creative(X))))&
(((generous(susan)<~>~humble(susan)))<=>(?[X]:((~generous(X)<~>funny(X)))))&
(![X]:((~curious(X)|tall(X))=>(quiet(X)<~>~humble(X))))&
(... | humble(john) | [
"p2",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1813446136172563851253237
% SZS output start Proof for 1813446136172563851253237
3. ! [X0] : (old(X0) <=> (~wise(X0) | calm(X0))) [input p2]
15. ! [X0] : ((wise(X0) | ~patient(X0)) <=> ~humble(X0)) [input p14]
17. ~old(john) [input p16]
25. humble(john) [input hypothesis]
40. ! [X0] : ((o... | 0 |
Everyone who is rich or not old is old.
Everyone who is either not curious or funny is either not calm or not kind and vice versa.
Everyone who is either not creative or not brave is curious.
Everyone who is both creative and wise is both not generous and happy.
If fred is both not calm and not old then someone is both... | Paul is not happy. | entailment | (![X]:((rich(X)|~old(X))=>old(X)))&
(![X]:((~curious(X)<~>funny(X))<=>(~calm(X)<~>~kind(X))))&
(![X]:((~creative(X)<~>~brave(X))=>curious(X)))&
(![X]:((creative(X)&wise(X))=>(~generous(X)&happy(X))))&
(((~calm(fred)&~old(fred)))=>(?[X]:((patient(X)&generous(X)))))&
(![X]:((~happy(X)&~brave(X))<=>(humble(X)<~>~humble(X)... | ~happy(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5358038993001303597780688
% SZS output start Proof for 5358038993001303597780688
6. ! [X0] : ((~brave(X0) & ~happy(X0)) <=> (humble(X0) <~> ~humble(X0))) [input p5]
24. happy(paul) [input hypothesis]
47. ! [X0] : (((~brave(X0) & ~happy(X0)) | ((humble(X0) | humble(X0)) & (~humble(X0) | ~h... | 0 |
Everyone who is both happy and patient is not calm or tall.
Everyone who is brave is either humble or not wise and vice versa.
Everyone who is rich or not kind is not brave or not wise.
If someone is either quiet or not patient then john is not strong and vice versa.
Everyone who is curious is either not happy or wise ... | Alice is not creative. | contradiction | (![X]:((happy(X)&patient(X))=>(~calm(X)|tall(X))))&
(![X]:(brave(X)<=>(humble(X)<~>~wise(X))))&
(![X]:((rich(X)|~kind(X))=>(~brave(X)|~wise(X))))&
((?[X]:((quiet(X)<~>~patient(X))))<=>(~strong(john)))&
(![X]:(curious(X)<=>(~happy(X)<~>wise(X))))&
(((wise(fred)&happy(fred)))=>((~old(john)|~brave(john))))&
(![X]:(~brave(... | ~creative(alice) | [
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6793755955339490976674928
% SZS output start Proof for 6793755955339490976674928
15. ! [X0] : ((~creative(X0) & brave(X0)) <=> (wise(X0) & ~brave(X0))) [input p14]
19. ~creative(alice) <~> ~brave(alice) [input p18]
25. ~creative(alice) [input hypothesis]
60. ! [X0] : (((~creative(X0) & br... | 0 |
Everyone who is either patient or not humble is not kind or not creative and vice versa.
Everyone who is either not rich or not generous is both not kind and not brave.
If john is old or calm then someone is not strong or curious and vice versa.
If someone is strong or wise then fred is not tall or not patient and vice... | John is not patient. | entailment | (![X]:((patient(X)<~>~humble(X))<=>(~kind(X)|~creative(X))))&
(![X]:((~rich(X)<~>~generous(X))=>(~kind(X)&~brave(X))))&
(((old(john)|calm(john)))<=>(?[X]:((~strong(X)|curious(X)))))&
((?[X]:((strong(X)|wise(X))))<=>((~tall(fred)|~patient(fred))))&
((?[X]:((funny(X)|quiet(X))))<=>(~calm(mary)))&
(![X]:((kind(X)<~>~wise(... | ~patient(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 266487713346152835627190
% SZS output start Proof for 266487713346152835627190
16. ! [X0] : (patient(X0) => ~patient(X0)) [input p15]
24. patient(john) [input hypothesis]
32. ! [X0] : (~patient(X0) | ~patient(X0)) [ennf transformation 16]
136. ~patient(X0) | ~patient(X0) [cnf transformati... | 0 |
Everyone who is strong or humble is either generous or not old.
Everyone who is either rich or brave is not strong.
Everyone who is either quiet or happy is not funny.
If mary is not kind then someone is not calm and vice versa.
If someone is kind or funny then alice is wise and vice versa.
Everyone who is not creative... | Susan is not rich. | contradiction | (![X]:((strong(X)|humble(X))=>(generous(X)<~>~old(X))))&
(![X]:((rich(X)<~>brave(X))=>~strong(X)))&
(![X]:((quiet(X)<~>happy(X))=>~funny(X)))&
((~kind(mary))<=>(?[X]:(~calm(X))))&
((?[X]:((kind(X)|funny(X))))<=>(wise(alice)))&
(![X]:(~creative(X)=>(~humble(X)|calm(X))))&
((?[X]:(~curious(X)))<=>(?[X]:((~rich(X)&curious... | ~rich(susan) | [
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5293489830717543305860780
% SZS output start Proof for 5293489830717543305860780
10. ! [X0] : (~rich(X0) <=> ~patient(X0)) [input p9]
11. ? [X0] : (~strong(X0) | ~humble(X0)) <=> (~generous(susan) & patient(susan)) [input p10]
12. ! [X0] : ((~creative(X0) | ~rich(X0)) => ~strong(X0)) [inp... | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa.
If lucy is tall or not brave then mary is either funny or not brave and vice versa.
If someone is patient then someone is happy and vice versa.
If someone is both strong and old then susan is calm and vice versa.
Everyone who is both g... | Lucy is not patient. | entailment | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
(((tall(lucy)|~brave(lucy)))<=>((funny(mary)<~>~brave(mary))))&
((?[X]:(patient(X)))<=>(?[X]:(happy(X))))&
((?[X]:((strong(X)&old(X))))<=>(calm(susan)))&
(![X]:((generous(X)&~calm(X))=>~brave(X)))&
(![X]:((~kind(X)<~>tall(X))<=>(~strong(X)<~>tall(X))))&
((?[X]:((ta... | ~patient(lucy) | [
"p0",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 52598715688680588673688
% SZS output start Proof for 52598715688680588673688
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
13. ! [X0] : ((calm(X0) <~> wise(X0)) => (~strong(X0) & ~patient(X0))) [input p12]
25. patient(lucy) [input hypothesis]
36. ! [X0] :... | 0 |
If someone is brave or not humble then someone is both not calm and patient and vice versa.
If someone is not kind or not tall then alice is not curious or humble.
If someone is kind or not curious then alice is strong or not strong.
Everyone who is patient or not happy is not curious and vice versa.
Everyone who is ei... | Susan is kind. | contradiction | ((?[X]:((brave(X)|~humble(X))))<=>(?[X]:((~calm(X)&patient(X)))))&
((?[X]:((~kind(X)|~tall(X))))=>((~curious(alice)|humble(alice))))&
((?[X]:((kind(X)|~curious(X))))=>((strong(alice)|~strong(alice))))&
(![X]:((patient(X)|~happy(X))<=>~curious(X)))&
(![X]:((~curious(X)<~>patient(X))=>(curious(X)|~happy(X))))&
(![X]:((br... | kind(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 194638383332485166596951
% SZS output start Proof for 194638383332485166596951
13. (~brave(fred) & brave(fred)) <=> ? [X0] : kind(X0) [input p12]
25. kind(susan) [input hypothesis]
57. ((~brave(fred) & brave(fred)) | ! [X0] : ~kind(X0)) & (? [X0] : kind(X0) | (brave(fred) | ~brave(fred)))... | 0 |
Everyone who is both not curious and quiet is not patient or wise.
Everyone who is not generous is both brave and not wise.
If paul is not funny or not generous then lucy is both not kind and not creative and vice versa.
Everyone who is happy or strong is generous or brave.
If john is funny then john is not rich.
Every... | Paul is not wise. | neutral | (![X]:((~curious(X)&quiet(X))=>(~patient(X)|wise(X))))&
(![X]:(~generous(X)=>(brave(X)&~wise(X))))&
(((~funny(paul)|~generous(paul)))<=>((~kind(lucy)&~creative(lucy))))&
(![X]:((happy(X)|strong(X))=>(generous(X)|brave(X))))&
((funny(john))=>(~rich(john)))&
(![X]:((strong(X)&tall(X))=>(curious(X)&brave(X))))&
(![X]:((ha... | ~wise(paul) | [] | null | 0 |
If someone is both generous and not creative then someone is both not generous and brave. If someone is either happy or not kind then paul is not old. If lucy is both not brave and wise then lucy is either not strong or strong. Everyone who is either quiet or not quiet is old. Everyone who is curious is not strong. Eve... | John is tall. | entailment | ((?[X]:((generous(X)&~creative(X))))=>(?[X]:((~generous(X)&brave(X)))))&
((?[X]:((happy(X)<~>~kind(X))))=>(~old(paul)))&
(((~brave(lucy)&wise(lucy)))=>((~strong(lucy)<~>strong(lucy))))&
(![X]:((quiet(X)<~>~quiet(X))=>old(X)))&
(![X]:(curious(X)=>~strong(X)))&
(![X]:((~tall(X)&brave(X))=>(~curious(X)&curious(X))))&
(![X... | tall(john) | [
"p1",
"p3",
"p5",
"p8",
"p9",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7648836876533184290570898
% SZS output start Proof for 7648836876533184290570898
2. ? [X0] : (happy(X0) <~> ~kind(X0)) => ~old(paul) [input p1]
4. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => old(X0)) [input p3]
6. ! [X0] : ((brave(X0) & ~tall(X0)) => (curious(X0) & ~curious(X0))) [input p5]
9... | 0 |
If someone is wise then someone is not tall or not patient. If paul is not rich then someone is either creative or not old. Everyone who is not rich is both funny and not curious and vice versa. If susan is both calm and not creative then someone is either not creative or quiet and vice versa. If paul is both not happy... | Paul is kind. | neutral | ((?[X]:(wise(X)))=>(?[X]:((~tall(X)|~patient(X)))))&
((~rich(paul))=>(?[X]:((creative(X)<~>~old(X)))))&
(![X]:(~rich(X)<=>(funny(X)&~curious(X))))&
(((calm(susan)&~creative(susan)))<=>(?[X]:((~creative(X)<~>quiet(X)))))&
(((~happy(paul)&creative(paul)))=>(?[X]:((~old(X)&~tall(X)))))&
(((wise(mary)<~>tall(mary)))<=>(?[X... | kind(paul) | [] | null | 0 |
Everyone who is either brave or quiet is both strong and brave. Everyone who is both not funny and curious is both not happy and not rich and vice versa. Everyone who is either not strong or kind is either not creative or brave and vice versa. Everyone who is not rich or not old is not creative. If someone is not rich ... | Paul is not rich. | contradiction | (![X]:((brave(X)<~>quiet(X))=>(strong(X)&brave(X))))&
(![X]:((~funny(X)&curious(X))<=>(~happy(X)&~rich(X))))&
(![X]:((~strong(X)<~>kind(X))<=>(~creative(X)<~>brave(X))))&
(![X]:((~rich(X)|~old(X))=>~creative(X)))&
((?[X]:(~rich(X)))=>(?[X]:(~strong(X))))&
(![X]:((patient(X)<~>curious(X))=>(curious(X)<~>~rich(X))))&
((s... | ~rich(paul) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5724509462841095286790072
% SZS output start Proof for 5724509462841095286790072
12. ? [X0] : ~rich(X0) => old(alice) [input p11]
17. ~old(alice) [input p16]
25. ~rich(paul) [input hypothesis]
37. old(alice) | ! [X0] : rich(X0) [ennf transformation 12]
107. old(alice) | rich(X0) [cnf tran... | 0 |
If someone is either wise or humble then someone is either kind or not quiet and vice versa.
Everyone who is both rich and not funny is funny or generous and vice versa.
If susan is not generous then john is both not creative and not funny.
Everyone who is creative or not wise is both kind and calm.
Everyone who is bot... | Lucy is not brave. | contradiction | ((?[X]:((wise(X)<~>humble(X))))<=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:((rich(X)&~funny(X))<=>(funny(X)|generous(X))))&
((~generous(susan))=>((~creative(john)&~funny(john))))&
(![X]:((creative(X)|~wise(X))=>(kind(X)&calm(X))))&
(![X]:((~kind(X)&calm(X))<=>(old(X)&~happy(X))))&
(((~curious(fred)<~>~brave(fred)))<=>((g... | ~brave(lucy) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6417640012491993115932747
% SZS output start Proof for 6417640012491993115932747
7. ! [X0] : ((brave(X0) & ~rich(X0)) <=> strong(X0)) [input p6]
17. strong(lucy) & patient(lucy) [input p16]
23. ~brave(lucy) [input hypothesis]
27. ! [X0] : (strong(X0) => (brave(X0) & ~rich(X0))) [unused pr... | 0 |
If someone is patient then mary is kind and vice versa. If someone is either not quiet or not strong then lucy is both not calm and not creative and vice versa. If someone is both not old and not generous then someone is not funny or rich and vice versa. If someone is not tall or not brave then someone is either wise o... | Fred is patient. | entailment | ((?[X]:(patient(X)))<=>(kind(mary)))&
((?[X]:((~quiet(X)<~>~strong(X))))<=>((~calm(lucy)&~creative(lucy))))&
((?[X]:((~old(X)&~generous(X))))<=>(?[X]:((~funny(X)|rich(X)))))&
((?[X]:((~tall(X)|~brave(X))))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((old(X)&~brave(X))<=>(happy(X)<~>tall(X))))&
(![X]:((~wise(X)|~old(X))<=>... | patient(fred) | [
"p8",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5617300063608445077285975
% SZS output start Proof for 5617300063608445077285975
9. (wise(lucy) | calm(lucy)) => (~quiet(john) & ~brave(john)) [input p8]
12. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> tall(X0)) [input p11]
13. (tall(john) & ~brave(john)) => (rich(fred) & patient(fred)) [input... | 0 |
Everyone who is not curious or not kind is both not funny and curious.
Everyone who is not patient is either not curious or brave.
Everyone who is both curious and not old is not humble.
Everyone who is either not creative or creative is both generous and curious and vice versa.
If someone is both generous and not funn... | John is curious. | entailment | (![X]:((~curious(X)|~kind(X))=>(~funny(X)&curious(X))))&
(![X]:(~patient(X)=>(~curious(X)<~>brave(X))))&
(![X]:((curious(X)&~old(X))=>~humble(X)))&
(![X]:((~creative(X)<~>creative(X))<=>(generous(X)&curious(X))))&
((?[X]:((generous(X)&~funny(X))))<=>(~generous(john)))&
((?[X]:((strong(X)&~strong(X))))<=>(~wise(paul)))&... | curious(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5358411676475638964711673
% SZS output start Proof for 5358411676475638964711673
1. ! [X0] : ((~kind(X0) | ~curious(X0)) => (curious(X0) & ~funny(X0))) [input p0]
23. ~curious(john) [input hypothesis]
25. ! [X0] : (~curious(X0) => (curious(X0) & ~funny(X0))) [pure predicate removal 1]
27.... | 0 |
If fred is both not generous and kind then someone is either not funny or not tall and vice versa.
If john is either patient or not happy then someone is not brave.
If someone is not brave or patient then mary is either kind or not strong and vice versa.
If lucy is calm then someone is not happy.
If paul is either kind... | Lucy is rich. | neutral | (((~generous(fred)&kind(fred)))<=>(?[X]:((~funny(X)<~>~tall(X)))))&
(((patient(john)<~>~happy(john)))=>(?[X]:(~brave(X))))&
((?[X]:((~brave(X)|patient(X))))<=>((kind(mary)<~>~strong(mary))))&
((calm(lucy))=>(?[X]:(~happy(X))))&
(((kind(paul)<~>~curious(paul)))<=>(kind(susan)))&
((~old(john))=>(?[X]:(~funny(X))))&
((?[X... | rich(lucy) | [] | null | 0 |
Everyone who is either not curious or tall is both not quiet and not funny and vice versa.
Everyone who is not creative is either not quiet or old and vice versa.
Everyone who is strong is both not tall and quiet and vice versa.
Everyone who is kind is not old.
Everyone who is tall or brave is not creative and vice ver... | Mary is curious. | neutral | (![X]:((~curious(X)<~>tall(X))<=>(~quiet(X)&~funny(X))))&
(![X]:(~creative(X)<=>(~quiet(X)<~>old(X))))&
(![X]:(strong(X)<=>(~tall(X)&quiet(X))))&
(![X]:(kind(X)=>~old(X)))&
(![X]:((tall(X)|brave(X))<=>~creative(X)))&
(((~brave(john)&~tall(john)))=>(~calm(mary)))&
(![X]:((strong(X)&~brave(X))=>(strong(X)<~>happy(X))))&
... | curious(mary) | [] | null | 0 |
Everyone who is both not generous and old is either not curious or creative.
Everyone who is both generous and not rich is not generous or humble and vice versa.
Everyone who is both quiet and tall is not patient or funny and vice versa.
Everyone who is not kind is both not generous and not kind.
Everyone who is both s... | Mary is funny. | contradiction | (![X]:((~generous(X)&old(X))=>(~curious(X)<~>creative(X))))&
(![X]:((generous(X)&~rich(X))<=>(~generous(X)|humble(X))))&
(![X]:((quiet(X)&tall(X))<=>(~patient(X)|funny(X))))&
(![X]:(~kind(X)=>(~generous(X)&~kind(X))))&
(![X]:((strong(X)&brave(X))<=>(~old(X)|~wise(X))))&
((?[X]:((~funny(X)&generous(X))))=>(brave(john)))... | funny(mary) | [
"p2",
"p4",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5031873838379843745244333
% SZS output start Proof for 5031873838379843745244333
3. ! [X0] : ((tall(X0) & quiet(X0)) <=> (funny(X0) | ~patient(X0))) [input p2]
5. ! [X0] : ((brave(X0) & strong(X0)) <=> (~wise(X0) | ~old(X0))) [input p4]
8. ! [X0] : (curious(X0) => (quiet(X0) <~> brave(X0)... | 0 |
If someone is either rich or funny then paul is not generous.
Everyone who is both funny and not brave is both not calm and humble and vice versa.
If fred is rich or not generous then john is not wise or not strong.
If fred is either brave or not happy then paul is quiet.
Everyone who is either not humble or not brave ... | Fred is not funny. | entailment | ((?[X]:((rich(X)<~>funny(X))))=>(~generous(paul)))&
(![X]:((funny(X)&~brave(X))<=>(~calm(X)&humble(X))))&
(((rich(fred)|~generous(fred)))=>((~wise(john)|~strong(john))))&
(((brave(fred)<~>~happy(fred)))=>(quiet(paul)))&
(![X]:((~humble(X)<~>~brave(X))<=>tall(X)))&
(![X]:((creative(X)|tall(X))=>(funny(X)|~tall(X))))&
((... | ~funny(fred) | [
"p1",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5174926921294264951168059
% SZS output start Proof for 5174926921294264951168059
2. ! [X0] : ((~brave(X0) & funny(X0)) <=> (humble(X0) & ~calm(X0))) [input p1]
9. ! [X0] : ((~curious(X0) & calm(X0)) <=> funny(X0)) [input p8]
14. ? [X0] : (funny(X0) <~> ~brave(X0)) => ? [X0] : (~strong(X0)... | 0 |
If alice is not happy or not wise then someone is either tall or quiet and vice versa.
If lucy is not calm or not funny then someone is curious and vice versa.
If someone is both not funny and funny then someone is happy and vice versa.
Everyone who is not kind or not tall is old or creative and vice versa.
Everyone wh... | Mary is not old. | contradiction | (((~happy(alice)|~wise(alice)))<=>(?[X]:((tall(X)<~>quiet(X)))))&
(((~calm(lucy)|~funny(lucy)))<=>(?[X]:(curious(X))))&
((?[X]:((~funny(X)&funny(X))))<=>(?[X]:(happy(X))))&
(![X]:((~kind(X)|~tall(X))<=>(old(X)|creative(X))))&
(![X]:((~happy(X)<~>happy(X))<=>~generous(X)))&
(![X]:((~rich(X)|~generous(X))<=>brave(X)))&
(... | ~old(mary) | [
"p2",
"p4",
"p5",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1354499756653520708602434
% SZS output start Proof for 1354499756653520708602434
3. ? [X0] : (funny(X0) & ~funny(X0)) <=> ? [X0] : happy(X0) [input p2]
5. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> ~generous(X0)) [input p4]
6. ! [X0] : ((~generous(X0) | ~rich(X0)) <=> brave(X0)) [input p5]
... | 0 |
Everyone who is not kind is both funny and not humble and vice versa.
Everyone who is quiet or not happy is not humble or not patient and vice versa.
If someone is not kind or creative then alice is quiet and vice versa.
Everyone who is funny or tall is old.
If susan is both not funny and not quiet then paul is not str... | Fred is happy. | entailment | (![X]:(~kind(X)<=>(funny(X)&~humble(X))))&
(![X]:((quiet(X)|~happy(X))<=>(~humble(X)|~patient(X))))&
((?[X]:((~kind(X)|creative(X))))<=>(quiet(alice)))&
(![X]:((funny(X)|tall(X))=>old(X)))&
(((~funny(susan)&~quiet(susan)))=>((~strong(paul)|humble(paul))))&
((?[X]:((~patient(X)<~>~curious(X))))<=>((generous(susan)|~curi... | happy(fred) | [
"p0",
"p3",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7765014606761639808697599
% SZS output start Proof for 7765014606761639808697599
1. ! [X0] : (~kind(X0) <=> (~humble(X0) & funny(X0))) [input p0]
4. ! [X0] : ((tall(X0) | funny(X0)) => old(X0)) [input p3]
13. ? [X0] : (humble(X0) | ~old(X0)) <=> (brave(fred) & ~old(fred)) [input p12]
15. ... | 0 |
Everyone who is either not calm or quiet is both old and not brave. If someone is both strong and not humble then paul is both not creative and not old and vice versa. Everyone who is not creative or strong is humble or brave. If someone is either creative or not tall then someone is either humble or rich and vice vers... | Mary is not generous. | neutral | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&~brave(X))))&
((?[X]:((strong(X)&~humble(X))))<=>((~creative(paul)&~old(paul))))&
(![X]:((~creative(X)|strong(X))=>(humble(X)|brave(X))))&
((?[X]:((creative(X)<~>~tall(X))))<=>(?[X]:((humble(X)<~>rich(X)))))&
(![X]:((~patient(X)&~quiet(X))=>(~strong(X)|~kind(X))))&
(((wise(mary)<~>... | ~generous(mary) | [] | null | 0 |
Everyone who is wise or not humble is both not brave and quiet and vice versa.
If paul is curious or not brave then alice is not kind or not humble.
If someone is both not calm and rich then someone is either patient or wise.
If susan is not wise then fred is not humble or funny and vice versa.
If lucy is both curious ... | Lucy is old. | entailment | (![X]:((wise(X)|~humble(X))<=>(~brave(X)&quiet(X))))&
(((curious(paul)|~brave(paul)))=>((~kind(alice)|~humble(alice))))&
((?[X]:((~calm(X)&rich(X))))=>(?[X]:((patient(X)<~>wise(X)))))&
((~wise(susan))<=>((~humble(fred)|funny(fred))))&
(((curious(lucy)&old(lucy)))<=>(?[X]:((~brave(X)|~funny(X)))))&
((~calm(susan))<=>((~... | old(lucy) | [
"p0",
"p4",
"p7",
"p10",
"p12",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 816097376701809934229234
% SZS output start Proof for 816097376701809934229234
1. ! [X0] : ((~humble(X0) | wise(X0)) <=> (quiet(X0) & ~brave(X0))) [input p0]
5. (old(lucy) & curious(lucy)) <=> ? [X0] : (~funny(X0) | ~brave(X0)) [input p4]
8. ! [X0] : (~tall(X0) => ~calm(X0)) [input p7]
11... | 0 |
Everyone who is not rich is both creative and not brave.
Everyone who is both not humble and creative is not patient or kind and vice versa.
Everyone who is not rich is either not wise or happy and vice versa.
Everyone who is either quiet or strong is brave.
Everyone who is either not curious or calm is creative or not... | Mary is calm. | contradiction | (![X]:(~rich(X)=>(creative(X)&~brave(X))))&
(![X]:((~humble(X)&creative(X))<=>(~patient(X)|kind(X))))&
(![X]:(~rich(X)<=>(~wise(X)<~>happy(X))))&
(![X]:((quiet(X)<~>strong(X))=>brave(X)))&
(![X]:((~curious(X)<~>calm(X))<=>(creative(X)|~rich(X))))&
(![X]:((~humble(X)<~>~creative(X))=>(kind(X)<~>rich(X))))&
(![X]:((~happ... | calm(mary) | [
"p0",
"p2",
"p4",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7114930761735093687943343
% SZS output start Proof for 7114930761735093687943343
1. ! [X0] : (~rich(X0) => (~brave(X0) & creative(X0))) [input p0]
3. ! [X0] : (~rich(X0) <=> (~wise(X0) <~> happy(X0))) [input p2]
5. ! [X0] : ((~curious(X0) <~> calm(X0)) <=> (~rich(X0) | creative(X0))) [inp... | 0 |
If someone is both not brave and not funny then john is either not kind or not generous.
If lucy is both strong and not strong then someone is either curious or happy and vice versa.
If someone is quiet then mary is either humble or curious and vice versa.
If someone is either not old or not humble then john is curious... | Lucy is happy. | contradiction | ((?[X]:((~brave(X)&~funny(X))))=>((~kind(john)<~>~generous(john))))&
(((strong(lucy)&~strong(lucy)))<=>(?[X]:((curious(X)<~>happy(X)))))&
((?[X]:(quiet(X)))<=>((humble(mary)<~>curious(mary))))&
((?[X]:((~old(X)<~>~humble(X))))<=>((curious(john)|~old(john))))&
(![X]:((~wise(X)&rich(X))=>old(X)))&
(((~patient(lucy)&funny... | happy(lucy) | [
"p1",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6704303418857248579367338
% SZS output start Proof for 6704303418857248579367338
2. (~strong(lucy) & strong(lucy)) <=> ? [X0] : (curious(X0) <~> happy(X0)) [input p1]
12. ! [X0] : ((humble(X0) | calm(X0)) => (~curious(X0) & ~rich(X0))) [input p11]
15. ! [X0] : ((quiet(X0) & ~humble(X0)) <... | 0 |
Everyone who is both not brave and not quiet is both not funny and not patient and vice versa.
If someone is not old then someone is not brave or quiet and vice versa.
Everyone who is either happy or not old is not quiet and vice versa.
If susan is not quiet then mary is either creative or not strong and vice versa.
Ev... | Alice is funny. | contradiction | (![X]:((~brave(X)&~quiet(X))<=>(~funny(X)&~patient(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~brave(X)|quiet(X)))))&
(![X]:((happy(X)<~>~old(X))<=>~quiet(X)))&
((~quiet(susan))<=>((creative(mary)<~>~strong(mary))))&
(![X]:(~old(X)=>patient(X)))&
(((old(alice)<~>~patient(alice)))<=>(?[X]:(~strong(X))))&
((?[X]:((~patient(X)<~>... | funny(alice) | [
"p2",
"p4",
"p5",
"p7",
"p10",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5320782472383025054686834
% SZS output start Proof for 5320782472383025054686834
3. ! [X0] : ((happy(X0) <~> ~old(X0)) <=> ~quiet(X0)) [input p2]
5. ! [X0] : (~old(X0) => patient(X0)) [input p4]
6. (old(alice) <~> ~patient(alice)) <=> ? [X0] : ~strong(X0) [input p5]
8. ! [X0] : ((~quiet(X... | 0 |
Everyone who is wise or rich is patient and vice versa.
Everyone who is both wise and not quiet is both not generous and humble.
If alice is both humble and not curious then someone is tall or generous.
Everyone who is not calm is not humble or not curious and vice versa.
Everyone who is either not old or not funny is ... | Alice is humble. | entailment | (![X]:((wise(X)|rich(X))<=>patient(X)))&
(![X]:((wise(X)&~quiet(X))=>(~generous(X)&humble(X))))&
(((humble(alice)&~curious(alice)))=>(?[X]:((tall(X)|generous(X)))))&
(![X]:(~calm(X)<=>(~humble(X)|~curious(X))))&
(![X]:((~old(X)<~>~funny(X))=>(kind(X)&~patient(X))))&
(![X]:(~kind(X)<=>(calm(X)<~>~generous(X))))&
(![X]:(... | humble(alice) | [
"p3",
"p4",
"p5",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1384022592564863237191392
% SZS output start Proof for 1384022592564863237191392
4. ! [X0] : (~calm(X0) <=> (~curious(X0) | ~humble(X0))) [input p3]
5. ! [X0] : ((~old(X0) <~> ~funny(X0)) => (~patient(X0) & kind(X0))) [input p4]
6. ! [X0] : (~kind(X0) <=> (calm(X0) <~> ~generous(X0))) [in... | 0 |
Everyone who is both funny and wise is humble and vice versa.
If someone is either not tall or not old then fred is either calm or not calm and vice versa.
If someone is both happy and not funny then susan is either brave or not funny and vice versa.
Everyone who is both not curious and funny is either not brave or ric... | Lucy is curious. | neutral | (![X]:((funny(X)&wise(X))<=>humble(X)))&
((?[X]:((~tall(X)<~>~old(X))))<=>((calm(fred)<~>~calm(fred))))&
((?[X]:((happy(X)&~funny(X))))<=>((brave(susan)<~>~funny(susan))))&
(![X]:((~curious(X)&funny(X))=>(~brave(X)<~>rich(X))))&
(![X]:((generous(X)&funny(X))<=>(~quiet(X)|~patient(X))))&
(![X]:(~wise(X)<=>(old(X)|tall(X... | curious(lucy) | [] | null | 0 |
If someone is wise or not humble then someone is both not quiet and calm and vice versa. If someone is both brave and calm then mary is patient or not generous and vice versa. Everyone who is not old or not humble is not tall or happy and vice versa. Everyone who is both curious and quiet is not brave. Everyone who is ... | Fred is not rich. | contradiction | ((?[X]:((wise(X)|~humble(X))))<=>(?[X]:((~quiet(X)&calm(X)))))&
((?[X]:((brave(X)&calm(X))))<=>((patient(mary)|~generous(mary))))&
(![X]:((~old(X)|~humble(X))<=>(~tall(X)|happy(X))))&
(![X]:((curious(X)&quiet(X))=>~brave(X)))&
(![X]:(~old(X)=>(~tall(X)&~happy(X))))&
((?[X]:((brave(X)|~creative(X))))<=>((brave(susan)&~k... | ~rich(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7411333571270572135830943
% SZS output start Proof for 7411333571270572135830943
10. ! [X0] : ((~curious(X0) <~> curious(X0)) <=> rich(X0)) [input p9]
25. ~rich(fred) [input hypothesis]
64. ! [X0] : ((((~curious(X0) | curious(X0)) & (curious(X0) | ~curious(X0))) | ~rich(X0)) & (rich(X0) |... | 0 |
If john is strong or tall then susan is not patient or not generous. Everyone who is not patient is old or not calm. If someone is brave then someone is both kind and not rich and vice versa. Everyone who is funny or not old is both kind and not calm and vice versa. Everyone who is generous or not brave is not patient ... | Alice is not strong. | neutral | (((strong(john)|tall(john)))=>((~patient(susan)|~generous(susan))))&
(![X]:(~patient(X)=>(old(X)|~calm(X))))&
((?[X]:(brave(X)))<=>(?[X]:((kind(X)&~rich(X)))))&
(![X]:((funny(X)|~old(X))<=>(kind(X)&~calm(X))))&
(![X]:((generous(X)|~brave(X))<=>~patient(X)))&
(![X]:(rich(X)=>(~kind(X)<~>brave(X))))&
((?[X]:((~patient(X)... | ~strong(alice) | [] | null | 0 |
Everyone who is either creative or calm is brave. If someone is either not patient or not funny then fred is both wise and strong. Everyone who is wise or not humble is not happy and vice versa. Everyone who is funny or not old is either generous or not patient and vice versa. If someone is funny then paul is wise and ... | Lucy is not wise. | entailment | (![X]:((creative(X)<~>calm(X))=>brave(X)))&
((?[X]:((~patient(X)<~>~funny(X))))=>((wise(fred)&strong(fred))))&
(![X]:((wise(X)|~humble(X))<=>~happy(X)))&
(![X]:((funny(X)|~old(X))<=>(generous(X)<~>~patient(X))))&
((?[X]:(funny(X)))<=>(wise(paul)))&
(((rich(alice)&tall(alice)))<=>((~calm(paul)<~>brave(paul))))&
(![X]:((... | ~wise(lucy) | [
"p0",
"p2",
"p3",
"p6",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6959292355192583511846380
% SZS output start Proof for 6959292355192583511846380
1. ! [X0] : ((creative(X0) <~> calm(X0)) => brave(X0)) [input p0]
3. ! [X0] : ((~humble(X0) | wise(X0)) <=> ~happy(X0)) [input p2]
4. ! [X0] : ((~old(X0) | funny(X0)) <=> (generous(X0) <~> ~patient(X0))) [inp... | 0 |
If someone is either not old or quiet then someone is either not tall or wise.
Everyone who is both rich and humble is either funny or brave.
Everyone who is not curious or tall is not calm or quiet.
If mary is patient or rich then paul is not strong or rich and vice versa.
Everyone who is both not patient and curious ... | Alice is not rich. | entailment | ((?[X]:((~old(X)<~>quiet(X))))=>(?[X]:((~tall(X)<~>wise(X)))))&
(![X]:((rich(X)&humble(X))=>(funny(X)<~>brave(X))))&
(![X]:((~curious(X)|tall(X))=>(~calm(X)|quiet(X))))&
(((patient(mary)|rich(mary)))<=>((~strong(paul)|rich(paul))))&
(![X]:((~patient(X)&curious(X))=>(happy(X)|~creative(X))))&
((?[X]:(~calm(X)))<=>(?[X]:... | ~rich(alice) | [
"p1",
"p5",
"p6",
"p7",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6372369600783344992979937
% SZS output start Proof for 6372369600783344992979937
2. ! [X0] : ((humble(X0) & rich(X0)) => (funny(X0) <~> brave(X0))) [input p1]
6. ? [X0] : ~calm(X0) <=> ? [X0] : tall(X0) [input p5]
7. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (~happy(X0) & humble(X0))) [inpu... | 0 |
Everyone who is funny is either not wise or calm and vice versa. If someone is kind or not strong then paul is either not quiet or not strong. Everyone who is both quiet and kind is both not strong and curious. If someone is either funny or not tall then susan is not wise. Everyone who is not patient or calm is either ... | Fred is not brave. | contradiction | (![X]:(funny(X)<=>(~wise(X)<~>calm(X))))&
((?[X]:((kind(X)|~strong(X))))=>((~quiet(paul)<~>~strong(paul))))&
(![X]:((quiet(X)&kind(X))=>(~strong(X)&curious(X))))&
((?[X]:((funny(X)<~>~tall(X))))=>(~wise(susan)))&
(![X]:((~patient(X)|calm(X))<=>(wise(X)<~>humble(X))))&
((~wise(lucy))=>((brave(susan)|creative(susan))))&
... | ~brave(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4475548452003702839251641
% SZS output start Proof for 4475548452003702839251641
11. ! [X0] : (patient(X0) <=> (brave(X0) <~> ~patient(X0))) [input p10]
24. ~brave(fred) [input hypothesis]
63. ! [X0] : ((patient(X0) | ((brave(X0) | patient(X0)) & (~patient(X0) | ~brave(X0)))) & (((patient... | 0 |
Everyone who is either curious or not patient is both not tall and not humble and vice versa.
Everyone who is patient or calm is both not brave and quiet and vice versa.
If paul is not strong then someone is both not quiet and curious and vice versa.
Everyone who is calm is either not curious or curious.
Everyone who i... | Paul is patient. | entailment | (![X]:((curious(X)<~>~patient(X))<=>(~tall(X)&~humble(X))))&
(![X]:((patient(X)|calm(X))<=>(~brave(X)&quiet(X))))&
((~strong(paul))<=>(?[X]:((~quiet(X)&curious(X)))))&
(![X]:(calm(X)=>(~curious(X)<~>curious(X))))&
(![X]:((~calm(X)&~patient(X))<=>(~creative(X)<~>~old(X))))&
(![X]:(wise(X)=>(~rich(X)|~old(X))))&
((?[X]:(... | patient(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3832585658597803617487385
% SZS output start Proof for 3832585658597803617487385
13. ! [X0] : (~rich(X0) <=> (rich(X0) <~> patient(X0))) [input p12]
25. ~patient(paul) [input hypothesis]
55. ! [X0] : ((~rich(X0) | ((rich(X0) | ~patient(X0)) & (patient(X0) | ~rich(X0)))) & (((~patient(X0) ... | 0 |
If someone is either not happy or not humble then mary is both not strong and not curious. Everyone who is both brave and not curious is both not kind and not quiet. If susan is happy or humble then paul is either not funny or not rich. Everyone who is both not happy and strong is not funny and vice versa. If mary is n... | Paul is not old. | contradiction | ((?[X]:((~happy(X)<~>~humble(X))))=>((~strong(mary)&~curious(mary))))&
(![X]:((brave(X)&~curious(X))=>(~kind(X)&~quiet(X))))&
(((happy(susan)|humble(susan)))=>((~funny(paul)<~>~rich(paul))))&
(![X]:((~happy(X)&strong(X))<=>~funny(X)))&
((~strong(mary))=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((~happy(X)&~tall(X))=>(tall(X... | ~old(paul) | [
"p2",
"p3",
"p7",
"p8",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 353732258442978534108308
% SZS output start Proof for 353732258442978534108308
3. (humble(susan) | happy(susan)) => (~funny(paul) <~> ~rich(paul)) [input p2]
4. ! [X0] : ((strong(X0) & ~happy(X0)) <=> ~funny(X0)) [input p3]
8. ! [X0] : ((~strong(X0) <~> quiet(X0)) <=> (~happy(X0) & ~humbl... | 0 |
If mary is not tall then fred is both not strong and not old and vice versa.
Everyone who is both not strong and tall is either curious or not tall.
If alice is not wise or kind then john is not calm.
Everyone who is both creative and funny is not old or not happy.
If someone is not wise or not humble then john is both... | John is not generous. | contradiction | ((~tall(mary))<=>((~strong(fred)&~old(fred))))&
(![X]:((~strong(X)&tall(X))=>(curious(X)<~>~tall(X))))&
(((~wise(alice)|kind(alice)))=>(~calm(john)))&
(![X]:((creative(X)&funny(X))=>(~old(X)|~happy(X))))&
((?[X]:((~wise(X)|~humble(X))))=>((~humble(john)&generous(john))))&
((?[X]:((~brave(X)&~quiet(X))))=>(patient(john)... | ~generous(john) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1304126974082179268944111
% SZS output start Proof for 1304126974082179268944111
5. ? [X0] : (~humble(X0) | ~wise(X0)) => (generous(john) & ~humble(john)) [input p4]
9. ! [X0] : ((generous(X0) | ~humble(X0)) <=> (~brave(X0) | brave(X0))) [input p8]
25. ~generous(john) [input hypothesis]
3... | 0 |
If someone is wise then paul is not funny and vice versa.
Everyone who is both not old and tall is either not happy or not rich and vice versa.
Everyone who is wise or not humble is either quiet or not rich and vice versa.
If susan is strong or old then susan is strong or brave and vice versa.
Everyone who is either no... | Lucy is rich. | entailment | ((?[X]:(wise(X)))<=>(~funny(paul)))&
(![X]:((~old(X)&tall(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:((wise(X)|~humble(X))<=>(quiet(X)<~>~rich(X))))&
(((strong(susan)|old(susan)))<=>((strong(susan)|brave(susan))))&
(![X]:((~curious(X)<~>old(X))<=>(old(X)<~>~funny(X))))&
(![X]:((~humble(X)&quiet(X))<=>(calm(X)|~old(X))))&
((... | rich(lucy) | [
"p2",
"p5",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2603817701506474189950171
% SZS output start Proof for 2603817701506474189950171
3. ! [X0] : ((~humble(X0) | wise(X0)) <=> (quiet(X0) <~> ~rich(X0))) [input p2]
6. ! [X0] : ((quiet(X0) & ~humble(X0)) <=> (~old(X0) | calm(X0))) [input p5]
9. ! [X0] : ((tall(X0) | ~calm(X0)) <=> calm(X0)) [... | 0 |
If paul is both calm and not patient then lucy is both not rich and not funny and vice versa.
If paul is both not funny and not wise then susan is not funny or wise and vice versa.
Everyone who is either happy or not curious is either kind or old and vice versa.
If someone is not creative or strong then someone is both... | Susan is not calm. | neutral | (((calm(paul)&~patient(paul)))<=>((~rich(lucy)&~funny(lucy))))&
(((~funny(paul)&~wise(paul)))<=>((~funny(susan)|wise(susan))))&
(![X]:((happy(X)<~>~curious(X))<=>(kind(X)<~>old(X))))&
((?[X]:((~creative(X)|strong(X))))<=>(?[X]:((patient(X)&tall(X)))))&
(((funny(paul)&~rich(paul)))<=>(?[X]:(~curious(X))))&
(![X]:((brave... | ~calm(susan) | [] | null | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is old or humble is old.
Everyone who is quiet is both not old and not strong and vice versa.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is... | Alice is not quiet. | entailment | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|humble(X))=>old(X)))&
(![X]:(quiet(X)<=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet... | ~quiet(alice) | [
"p1",
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2222913806795887927717839
% SZS output start Proof for 2222913806795887927717839
2. ! [X0] : ((humble(X0) | old(X0)) => old(X0)) [input p1]
3. ! [X0] : (quiet(X0) <=> (~strong(X0) & ~old(X0))) [input p2]
15. ! [X0] : (quiet(X0) <=> (~creative(X0) & humble(X0))) [input p14]
23. quiet(alice... | 0 |
If john is either not quiet or generous then lucy is happy.
Everyone who is not humble or humble is both not strong and happy and vice versa.
Everyone who is both funny and strong is either brave or creative.
Everyone who is not strong is either wise or not humble.
If lucy is not happy or humble then someone is either ... | John is not strong. | entailment | (((~quiet(john)<~>generous(john)))=>(happy(lucy)))&
(![X]:((~humble(X)|humble(X))<=>(~strong(X)&happy(X))))&
(![X]:((funny(X)&strong(X))=>(brave(X)<~>creative(X))))&
(![X]:(~strong(X)=>(wise(X)<~>~humble(X))))&
(((~happy(lucy)|humble(lucy)))=>(?[X]:((~happy(X)<~>quiet(X)))))&
((?[X]:(~happy(X)))=>((~strong(lucy)<~>~cal... | ~strong(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 2059123141011403607585065
% SZS output start Proof for 2059123141011403607585065
2. ! [X0] : ((humble(X0) | ~humble(X0)) <=> (happy(X0) & ~strong(X0))) [input p1]
23. strong(john) [input hypothesis]
40. ! [X0] : (((humble(X0) | ~humble(X0)) | (~happy(X0) | strong(X0))) & ((happy(X0) & ~st... | 0 |
If someone is both not quiet and not patient then susan is both not curious and old and vice versa. If paul is not happy or brave then someone is not curious. If someone is either not old or generous then someone is not happy or kind. Everyone who is either wise or not calm is either wise or not kind and vice versa. Ev... | John is not kind. | entailment | ((?[X]:((~quiet(X)&~patient(X))))<=>((~curious(susan)&old(susan))))&
(((~happy(paul)|brave(paul)))=>(?[X]:(~curious(X))))&
((?[X]:((~old(X)<~>generous(X))))=>(?[X]:((~happy(X)|kind(X)))))&
(![X]:((wise(X)<~>~calm(X))<=>(wise(X)<~>~kind(X))))&
(![X]:((brave(X)&old(X))=>(~calm(X)&brave(X))))&
(![X]:(creative(X)=>(strong(... | ~kind(john) | [
"p3",
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2259412816225217857470548
% SZS output start Proof for 2259412816225217857470548
4. ! [X0] : ((wise(X0) <~> ~calm(X0)) <=> (wise(X0) <~> ~kind(X0))) [input p3]
8. ! [X0] : ((~old(X0) | ~quiet(X0)) <=> old(X0)) [input p7]
14. ! [X0] : ((quiet(X0) & ~creative(X0)) <=> ~tall(X0)) [input p13]... | 0 |
If someone is both kind and not happy then someone is not curious and vice versa.
If someone is not calm then john is both brave and not rich.
Everyone who is not strong or wise is both not humble and not old.
Everyone who is both not rich and strong is not calm or not happy and vice versa.
Everyone who is either humbl... | Mary is not strong. | contradiction | ((?[X]:((kind(X)&~happy(X))))<=>(?[X]:(~curious(X))))&
((?[X]:(~calm(X)))=>((brave(john)&~rich(john))))&
(![X]:((~strong(X)|wise(X))=>(~humble(X)&~old(X))))&
(![X]:((~rich(X)&strong(X))<=>(~calm(X)|~happy(X))))&
(![X]:((humble(X)<~>creative(X))<=>(quiet(X)<~>~tall(X))))&
((~patient(alice))=>(?[X]:((creative(X)&brave(X)... | ~strong(mary) | [
"p0",
"p2",
"p3",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8570785050580586220894832
% SZS output start Proof for 8570785050580586220894832
1. ? [X0] : (~happy(X0) & kind(X0)) <=> ? [X0] : ~curious(X0) [input p0]
3. ! [X0] : ((wise(X0) | ~strong(X0)) => (~old(X0) & ~humble(X0))) [input p2]
4. ! [X0] : ((strong(X0) & ~rich(X0)) <=> (~happy(X0) | ~... | 0 |
Everyone who is not tall or rich is both not wise and generous and vice versa.
If someone is not wise or not strong then someone is both not creative and creative.
Everyone who is either not funny or not quiet is either not wise or curious and vice versa.
Everyone who is either not creative or not old is both happy and... | Mary is tall. | entailment | (![X]:((~tall(X)|rich(X))<=>(~wise(X)&generous(X))))&
((?[X]:((~wise(X)|~strong(X))))=>(?[X]:((~creative(X)&creative(X)))))&
(![X]:((~funny(X)<~>~quiet(X))<=>(~wise(X)<~>curious(X))))&
(![X]:((~creative(X)<~>~old(X))<=>(happy(X)&~wise(X))))&
(![X]:(~creative(X)=>funny(X)))&
(![X]:((~wise(X)<~>creative(X))<=>curious(X))... | tall(mary) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7754868079985881499482731
% SZS output start Proof for 7754868079985881499482731
1. ! [X0] : ((rich(X0) | ~tall(X0)) <=> (generous(X0) & ~wise(X0))) [input p0]
2. ? [X0] : (~strong(X0) | ~wise(X0)) => ? [X0] : (creative(X0) & ~creative(X0)) [input p1]
19. ~tall(mary) [input hypothesis]
20... | 0 |
Everyone who is both not humble and kind is both curious and not tall and vice versa.
Everyone who is both happy and not humble is both rich and kind.
Everyone who is either creative or calm is both not wise and not funny and vice versa.
If susan is either calm or funny then someone is generous.
If susan is not calm th... | Mary is generous. | neutral | (![X]:((~humble(X)&kind(X))<=>(curious(X)&~tall(X))))&
(![X]:((happy(X)&~humble(X))=>(rich(X)&kind(X))))&
(![X]:((creative(X)<~>calm(X))<=>(~wise(X)&~funny(X))))&
(((calm(susan)<~>funny(susan)))=>(?[X]:(generous(X))))&
((~calm(susan))<=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~kind(X)|curious(X))<=>(creative(X)<~... | generous(mary) | [] | null | 0 |
If someone is either brave or not curious then someone is strong or curious. If john is either humble or calm then fred is both not kind and rich and vice versa. Everyone who is either wise or not strong is either calm or not calm. If lucy is humble or not wise then susan is not funny or strong. Everyone who is either ... | Mary is funny. | neutral | ((?[X]:((brave(X)<~>~curious(X))))=>(?[X]:((strong(X)|curious(X)))))&
(((humble(john)<~>calm(john)))<=>((~kind(fred)&rich(fred))))&
(![X]:((wise(X)<~>~strong(X))=>(calm(X)<~>~calm(X))))&
(((humble(lucy)|~wise(lucy)))=>((~funny(susan)|strong(susan))))&
(![X]:((~tall(X)<~>curious(X))=>~tall(X)))&
((generous(susan))<=>((q... | funny(mary) | [] | null | 0 |
If someone is either calm or not calm then susan is not generous or strong.
Everyone who is creative or kind is either old or not rich and vice versa.
Everyone who is both strong and not old is both not quiet and creative.
Everyone who is both creative and not tall is either not quiet or funny.
Everyone who is both fun... | Alice is quiet. | neutral | ((?[X]:((calm(X)<~>~calm(X))))=>((~generous(susan)|strong(susan))))&
(![X]:((creative(X)|kind(X))<=>(old(X)<~>~rich(X))))&
(![X]:((strong(X)&~old(X))=>(~quiet(X)&creative(X))))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)<~>funny(X))))&
(![X]:((funny(X)&strong(X))<=>old(X)))&
(![X]:((strong(X)&~creative(X))<=>(~kind(X)<~... | quiet(alice) | [] | null | 0 |
If someone is wise or brave then john is generous. If someone is either not curious or not quiet then lucy is either humble or kind and vice versa. If someone is not old then fred is both calm and not creative and vice versa. Everyone who is either funny or not strong is either curious or not funny. If lucy is not calm... | Mary is not happy. | entailment | ((?[X]:((wise(X)|brave(X))))=>(generous(john)))&
((?[X]:((~curious(X)<~>~quiet(X))))<=>((humble(lucy)<~>kind(lucy))))&
((?[X]:(~old(X)))<=>((calm(fred)&~creative(fred))))&
(![X]:((funny(X)<~>~strong(X))=>(curious(X)<~>~funny(X))))&
((~calm(lucy))<=>(~kind(fred)))&
(![X]:((curious(X)|happy(X))=>(~happy(X)&funny(X))))&
(... | ~happy(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1213924424370130767829112
% SZS output start Proof for 1213924424370130767829112
6. ! [X0] : ((happy(X0) | curious(X0)) => (funny(X0) & ~happy(X0))) [input p5]
24. happy(mary) [input hypothesis]
28. ! [X0] : ((funny(X0) & ~happy(X0)) | (~happy(X0) & ~curious(X0))) [ennf transformation 6]
... | 0 |
Everyone who is not humble is not generous and vice versa. If susan is both not calm and old then someone is either not curious or wise. If someone is both curious and rich then someone is either not creative or not happy and vice versa. If someone is both not brave and happy then lucy is either not brave or not old. E... | John is not wise. | contradiction | (![X]:(~humble(X)<=>~generous(X)))&
(((~calm(susan)&old(susan)))=>(?[X]:((~curious(X)<~>wise(X)))))&
((?[X]:((curious(X)&rich(X))))<=>(?[X]:((~creative(X)<~>~happy(X)))))&
((?[X]:((~brave(X)&happy(X))))=>((~brave(lucy)<~>~old(lucy))))&
(![X]:(rich(X)=>creative(X)))&
(![X]:(calm(X)=>~rich(X)))&
((?[X]:((happy(X)<~>~funn... | ~wise(john) | [
"p9",
"p10",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7767096238608994401497199
% SZS output start Proof for 7767096238608994401497199
10. ! [X0] : ((~quiet(X0) <~> generous(X0)) <=> (curious(X0) & ~wise(X0))) [input p9]
11. ! [X0] : (kind(X0) <=> (~kind(X0) | kind(X0))) [input p10]
12. ! [X0] : ((kind(X0) <~> wise(X0)) <=> (generous(X0) <~>... | 0 |
If someone is either funny or not humble then alice is not calm. Everyone who is both not quiet and not tall is either not calm or not kind and vice versa. Everyone who is both tall and not brave is either not happy or kind and vice versa. Everyone who is both not brave and happy is not tall or patient and vice versa. ... | Paul is not creative. | neutral | ((?[X]:((funny(X)<~>~humble(X))))=>(~calm(alice)))&
(![X]:((~quiet(X)&~tall(X))<=>(~calm(X)<~>~kind(X))))&
(![X]:((tall(X)&~brave(X))<=>(~happy(X)<~>kind(X))))&
(![X]:((~brave(X)&happy(X))<=>(~tall(X)|patient(X))))&
((?[X]:((kind(X)|~wise(X))))=>(~humble(paul)))&
(((humble(susan)<~>wise(susan)))=>(brave(susan)))&
(![X]... | ~creative(paul) | [] | null | 0 |
If someone is not kind or not wise then someone is both not humble and brave and vice versa.
Everyone who is not quiet is not calm and vice versa.
Everyone who is not generous is wise or not patient.
If someone is quiet or rich then someone is both calm and not humble and vice versa.
Everyone who is both not calm and n... | Lucy is old. | neutral | ((?[X]:((~kind(X)|~wise(X))))<=>(?[X]:((~humble(X)&brave(X)))))&
(![X]:(~quiet(X)<=>~calm(X)))&
(![X]:(~generous(X)=>(wise(X)|~patient(X))))&
((?[X]:((quiet(X)|rich(X))))<=>(?[X]:((calm(X)&~humble(X)))))&
(![X]:((~calm(X)&~brave(X))<=>brave(X)))&
(![X]:(old(X)<=>(rich(X)|generous(X))))&
((?[X]:(funny(X)))=>(?[X]:((~tal... | old(lucy) | [] | null | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa.
If john is not creative or not brave then mary is either funny or not brave and vice versa.
If someone is patient then someone is happy and vice versa.
If someone is both strong and old then susan is calm and vice versa.
Everyone who i... | John is wise. | contradiction | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
(((~creative(john)|~brave(john)))<=>((funny(mary)<~>~brave(mary))))&
((?[X]:(patient(X)))<=>(?[X]:(happy(X))))&
((?[X]:((strong(X)&old(X))))<=>(calm(susan)))&
(![X]:((generous(X)&~calm(X))=>~brave(X)))&
(![X]:((~kind(X)<~>tall(X))<=>(~strong(X)<~>tall(X))))&
((?[X]... | wise(john) | [
"p0",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5631278829949826479230725
% SZS output start Proof for 5631278829949826479230725
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
9. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~tall(X0) | strong(X0))) [input p8]
10. ! [X0] : (~quiet(X0) => (~calm(X0) | ~wise(... | 0 |
If someone is not funny then someone is not creative or not brave and vice versa. Everyone who is generous is calm or strong and vice versa. If lucy is not tall then someone is not brave or kind. Everyone who is tall or not brave is not kind or not humble and vice versa. Everyone who is not humble is not quiet or not s... | Mary is not brave. | contradiction | ((?[X]:(~funny(X)))<=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:(generous(X)<=>(calm(X)|strong(X))))&
((~tall(lucy))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((tall(X)|~brave(X))<=>(~kind(X)|~humble(X))))&
(![X]:(~humble(X)<=>(~quiet(X)|~strong(X))))&
((?[X]:((patient(X)|humble(X))))<=>((quiet(john)<~>patient(john))))&
((... | ~brave(mary) | [
"p1",
"p9",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7499985468205437154465131
% SZS output start Proof for 7499985468205437154465131
2. ! [X0] : (generous(X0) <=> (strong(X0) | calm(X0))) [input p1]
10. ! [X0] : ((~happy(X0) | ~brave(X0)) => old(X0)) [input p9]
11. ! [X0] : ((wise(X0) <~> curious(X0)) <=> (quiet(X0) <~> ~old(X0))) [input p... | 0 |
If someone is happy then someone is both not happy and not patient and vice versa.
Everyone who is not old or not patient is not strong.
If susan is either not kind or quiet then alice is both not wise and patient.
If someone is wise then susan is either wise or happy and vice versa.
Everyone who is not old or not crea... | John is funny. | contradiction | ((?[X]:(happy(X)))<=>(?[X]:((~happy(X)&~patient(X)))))&
(![X]:((~old(X)|~patient(X))=>~strong(X)))&
(((~kind(susan)<~>quiet(susan)))=>((~wise(alice)&patient(alice))))&
((?[X]:(wise(X)))<=>((wise(susan)<~>happy(susan))))&
(![X]:((~old(X)|~creative(X))=>(~happy(X)|~brave(X))))&
((?[X]:(creative(X)))<=>((~generous(lucy)|~... | funny(john) | [
"p0",
"p5",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6295624835127459452669482
% SZS output start Proof for 6295624835127459452669482
1. ? [X0] : happy(X0) <=> ? [X0] : (~patient(X0) & ~happy(X0)) [input p0]
6. ? [X0] : creative(X0) <=> (~creative(lucy) | ~generous(lucy)) [input p5]
11. ? [X0] : (~happy(X0) <~> patient(X0)) <=> (generous(jo... | 0 |
If someone is either curious or strong then someone is both not old and not curious and vice versa.
Everyone who is not quiet is curious and vice versa.
If someone is either rich or brave then alice is either funny or wise and vice versa.
Everyone who is not strong is both wise and not kind.
Everyone who is either not ... | Mary is not old. | contradiction | ((?[X]:((curious(X)<~>strong(X))))<=>(?[X]:((~old(X)&~curious(X)))))&
(![X]:(~quiet(X)<=>curious(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(X)<~>creative... | ~old(mary) | [
"p3",
"p6",
"p7",
"p8",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8550811848278518440886072
% SZS output start Proof for 8550811848278518440886072
4. ! [X0] : (~strong(X0) => (~kind(X0) & wise(X0))) [input p3]
7. ! [X0] : (rich(X0) <=> (wise(X0) <~> happy(X0))) [input p6]
8. ! [X0] : (~rich(X0) <=> ~old(X0)) [input p7]
9. ? [X0] : ~generous(X0) <=> ? [X... | 0 |
If susan is brave then paul is generous or not rich and vice versa.
Everyone who is either tall or not kind is both patient and strong and vice versa.
Everyone who is generous is both not tall and old and vice versa.
If lucy is old or not strong then susan is both old and not curious.
If susan is not kind then someone ... | Susan is not tall. | entailment | ((brave(susan))<=>((generous(paul)|~rich(paul))))&
(![X]:((tall(X)<~>~kind(X))<=>(patient(X)&strong(X))))&
(![X]:(generous(X)<=>(~tall(X)&old(X))))&
(((old(lucy)|~strong(lucy)))=>((old(susan)&~curious(susan))))&
((~kind(susan))<=>(?[X]:(creative(X))))&
((?[X]:((generous(X)|~old(X))))<=>(?[X]:(~kind(X))))&
(![X]:(~funny... | ~tall(susan) | [
"p2",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4174653966600910977142422
% SZS output start Proof for 4174653966600910977142422
3. ! [X0] : (generous(X0) <=> (old(X0) & ~tall(X0))) [input p2]
7. ! [X0] : (~funny(X0) <=> kind(X0)) [input p6]
8. ? [X0] : (~generous(X0) | wise(X0)) <=> (~brave(john) & kind(john)) [input p7]
14. ! [X0] : ... | 0 |
If fred is both not old and not patient then john is either not curious or not happy.
If someone is strong or not happy then someone is funny.
If susan is either brave or patient then lucy is old or brave and vice versa.
If someone is not kind or calm then someone is not strong and vice versa.
If someone is not funny o... | Mary is not patient. | entailment | (((~old(fred)&~patient(fred)))=>((~curious(john)<~>~happy(john))))&
((?[X]:((strong(X)|~happy(X))))=>(?[X]:(funny(X))))&
(((brave(susan)<~>patient(susan)))<=>((old(lucy)|brave(lucy))))&
((?[X]:((~kind(X)|calm(X))))<=>(?[X]:(~strong(X))))&
((?[X]:((~funny(X)|generous(X))))=>(?[X]:((~kind(X)&kind(X)))))&
(![X]:(~kind(X)=... | ~patient(mary) | [
"p4",
"p6",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3163489297993292381111546
% SZS output start Proof for 3163489297993292381111546
5. ? [X0] : (generous(X0) | ~funny(X0)) => ? [X0] : (kind(X0) & ~kind(X0)) [input p4]
7. (old(fred) & patient(fred)) <=> ? [X0] : (patient(X0) | ~brave(X0)) [input p6]
10. ! [X0] : ((~quiet(X0) <~> quiet(X0))... | 0 |
Everyone who is both humble and not curious is humble or not patient and vice versa.
If lucy is not humble or brave then paul is not patient or not strong and vice versa.
If someone is not rich then susan is not old and vice versa.
If someone is old then alice is humble or not strong.
If someone is strong then paul is ... | Susan is strong. | entailment | (![X]:((humble(X)&~curious(X))<=>(humble(X)|~patient(X))))&
(((~humble(lucy)|brave(lucy)))<=>((~patient(paul)|~strong(paul))))&
((?[X]:(~rich(X)))<=>(~old(susan)))&
((?[X]:(old(X)))=>((humble(alice)|~strong(alice))))&
((?[X]:(strong(X)))<=>((strong(paul)<~>~creative(paul))))&
((?[X]:((humble(X)<~>~humble(X))))<=>(?[X]:... | strong(susan) | [
"p2",
"p7",
"p13",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2223792840620879487725399
% SZS output start Proof for 2223792840620879487725399
3. ? [X0] : ~rich(X0) <=> ~old(susan) [input p2]
8. ! [X0] : ((~curious(X0) | strong(X0)) <=> strong(X0)) [input p7]
14. ! [X0] : (old(X0) <=> kind(X0)) [input p13]
22. ~curious(susan) | kind(susan) [input p2... | 0 |
Everyone who is both not kind and quiet is patient and vice versa. Everyone who is either strong or not wise is either not strong or generous and vice versa. Everyone who is calm is either creative or not patient and vice versa. If fred is both creative and rich then susan is patient or not patient. Everyone who is eit... | Paul is old. | neutral | (![X]:((~kind(X)&quiet(X))<=>patient(X)))&
(![X]:((strong(X)<~>~wise(X))<=>(~strong(X)<~>generous(X))))&
(![X]:(calm(X)<=>(creative(X)<~>~patient(X))))&
(((creative(fred)&rich(fred)))=>((patient(susan)|~patient(susan))))&
(![X]:((generous(X)<~>~humble(X))<=>(wise(X)|kind(X))))&
((humble(mary))<=>((~humble(paul)|~brave(... | old(paul) | [] | null | 0 |
Everyone who is not calm is humble and vice versa.
Everyone who is either not happy or not quiet is not happy or not humble.
If someone is either not old or funny then someone is either rich or not curious and vice versa.
Everyone who is not curious or patient is either happy or funny and vice versa.
Everyone who is no... | Susan is not humble. | contradiction | (![X]:(~calm(X)<=>humble(X)))&
(![X]:((~happy(X)<~>~quiet(X))=>(~happy(X)|~humble(X))))&
((?[X]:((~old(X)<~>funny(X))))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(![X]:((~curious(X)|patient(X))<=>(happy(X)<~>funny(X))))&
(![X]:(~generous(X)<=>(curious(X)&~old(X))))&
((?[X]:(kind(X)))<=>((tall(paul)&~patient(paul))))&
(![X]:... | ~humble(susan) | [
"p0",
"p4",
"p6",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3016461902075915625537559
% SZS output start Proof for 3016461902075915625537559
1. ! [X0] : (~calm(X0) <=> humble(X0)) [input p0]
5. ! [X0] : (~generous(X0) <=> (~old(X0) & curious(X0))) [input p4]
7. ! [X0] : ((wise(X0) <~> ~humble(X0)) <=> (calm(X0) <~> generous(X0))) [input p6]
12. ! ... | 0 |
If someone is old then someone is both happy and not creative and vice versa.
If alice is both not wise and happy then lucy is not generous or kind.
Everyone who is not happy is happy or not strong and vice versa.
If paul is either funny or not kind then fred is not kind.
If fred is funny then fred is humble and vice v... | Lucy is tall. | contradiction | ((?[X]:(old(X)))<=>(?[X]:((happy(X)&~creative(X)))))&
(((~wise(alice)&happy(alice)))=>((~generous(lucy)|kind(lucy))))&
(![X]:(~happy(X)<=>(happy(X)|~strong(X))))&
(((funny(paul)<~>~kind(paul)))=>(~kind(fred)))&
((funny(fred))<=>(humble(fred)))&
((?[X]:(strong(X)))<=>(?[X]:(funny(X))))&
((~rich(john))<=>((~old(lucy)&~fu... | tall(lucy) | [
"p2",
"p5",
"p8",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5009978035144661886354881
% SZS output start Proof for 5009978035144661886354881
3. ! [X0] : (~happy(X0) <=> (~strong(X0) | happy(X0))) [input p2]
6. ? [X0] : strong(X0) <=> ? [X0] : funny(X0) [input p5]
9. ? [X0] : (funny(X0) <~> rich(X0)) <=> (brave(john) & kind(john)) [input p8]
10. ! ... | 0 |
Everyone who is rich is not humble and vice versa. Everyone who is either not strong or not rich is both kind and happy and vice versa. If john is curious then someone is not strong or happy. Everyone who is rich is not curious or not creative and vice versa. If paul is not wise then someone is not happy. Everyone who ... | Mary is calm. | contradiction | (![X]:(rich(X)<=>~humble(X)))&
(![X]:((~strong(X)<~>~rich(X))<=>(kind(X)&happy(X))))&
((curious(john))=>(?[X]:((~strong(X)|happy(X)))))&
(![X]:(rich(X)<=>(~curious(X)|~creative(X))))&
((~wise(paul))=>(?[X]:(~happy(X))))&
(![X]:((strong(X)<~>~calm(X))<=>(~curious(X)<~>old(X))))&
(![X]:(happy(X)=>(wise(X)&curious(X))))&
... | calm(mary) | [
"p1",
"p3",
"p6",
"p15",
"p16",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 161169540108442195901516
% SZS output start Proof for 161169540108442195901516
2. ! [X0] : ((~strong(X0) <~> ~rich(X0)) <=> (happy(X0) & kind(X0))) [input p1]
4. ! [X0] : (rich(X0) <=> (~creative(X0) | ~curious(X0))) [input p3]
7. ! [X0] : (happy(X0) => (curious(X0) & wise(X0))) [input p6... | 0 |
Everyone who is either not old or not happy is patient or not rich.
If someone is not curious then alice is creative and vice versa.
Everyone who is both tall and curious is both not calm and generous and vice versa.
Everyone who is either not tall or brave is both not rich and not calm and vice versa.
Everyone who is ... | Alice is not quiet. | contradiction | (![X]:((~old(X)<~>~happy(X))=>(patient(X)|~rich(X))))&
((?[X]:(~curious(X)))<=>(creative(alice)))&
(![X]:((tall(X)&curious(X))<=>(~calm(X)&generous(X))))&
(![X]:((~tall(X)<~>brave(X))<=>(~rich(X)&~calm(X))))&
(![X]:(wise(X)=>(creative(X)<~>~happy(X))))&
(((curious(alice)|wise(alice)))<=>((~kind(alice)|~brave(alice))))&... | ~quiet(alice) | [
"p2",
"p7",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8592841195477189998972603
% SZS output start Proof for 8592841195477189998972603
3. ! [X0] : ((curious(X0) & tall(X0)) <=> (generous(X0) & ~calm(X0))) [input p2]
8. ! [X0] : ((humble(X0) | strong(X0)) <=> (~funny(X0) & quiet(X0))) [input p7]
9. ! [X0] : (~tall(X0) <=> (~curious(X0) <~> qu... | 0 |
If someone is either brave or tall then paul is either not rich or not patient and vice versa. If someone is funny then someone is either not happy or rich and vice versa. Everyone who is not kind is creative or not patient and vice versa. Everyone who is both brave and curious is both not quiet and generous and vice v... | Paul is rich. | entailment | ((?[X]:((brave(X)<~>tall(X))))<=>((~rich(paul)<~>~patient(paul))))&
((?[X]:(funny(X)))<=>(?[X]:((~happy(X)<~>rich(X)))))&
(![X]:(~kind(X)<=>(creative(X)|~patient(X))))&
(![X]:((brave(X)&curious(X))<=>(~quiet(X)&generous(X))))&
(((happy(paul)&funny(paul)))<=>(~funny(mary)))&
(![X]:((~old(X)<~>generous(X))<=>(calm(X)&gen... | rich(paul) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p8",
"p9",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9055624964056845166689350
% SZS output start Proof for 9055624964056845166689350
1. ? [X0] : (brave(X0) <~> tall(X0)) <=> (~rich(paul) <~> ~patient(paul)) [input p0]
3. ! [X0] : (~kind(X0) <=> (~patient(X0) | creative(X0))) [input p2]
4. ! [X0] : ((curious(X0) & brave(X0)) <=> (generous(X... | 0 |
If someone is both not happy and not kind then someone is either not happy or brave and vice versa. If alice is either not rich or strong then alice is happy. If paul is both not funny and not kind then susan is not old and vice versa. Everyone who is kind or not funny is both not rich and humble and vice versa. Everyo... | John is tall. | neutral | ((?[X]:((~happy(X)&~kind(X))))<=>(?[X]:((~happy(X)<~>brave(X)))))&
(((~rich(alice)<~>strong(alice)))=>(happy(alice)))&
(((~funny(paul)&~kind(paul)))<=>(~old(susan)))&
(![X]:((kind(X)|~funny(X))<=>(~rich(X)&humble(X))))&
(![X]:((~calm(X)|~creative(X))=>(~calm(X)<~>wise(X))))&
(![X]:((tall(X)|calm(X))=>(~tall(X)<~>~creat... | tall(john) | [] | null | 0 |
If alice is not old or not happy then lucy is wise or creative and vice versa.
If susan is wise or happy then lucy is strong.
If someone is either brave or not wise then susan is not rich.
If fred is either tall or wise then john is not humble.
Everyone who is not happy or happy is patient and vice versa.
Everyone who ... | John is calm. | contradiction | (((~old(alice)|~happy(alice)))<=>((wise(lucy)|creative(lucy))))&
(((wise(susan)|happy(susan)))=>(strong(lucy)))&
((?[X]:((brave(X)<~>~wise(X))))=>(~rich(susan)))&
(((tall(fred)<~>wise(fred)))=>(~humble(john)))&
(![X]:((~happy(X)|happy(X))<=>patient(X)))&
(![X]:((creative(X)<~>funny(X))<=>(~happy(X)<~>~creative(X))))&
(... | calm(john) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5138782974151522376990534
% SZS output start Proof for 5138782974151522376990534
5. ! [X0] : ((happy(X0) | ~happy(X0)) <=> patient(X0)) [input p4]
9. ! [X0] : (calm(X0) <=> (~happy(X0) & ~patient(X0))) [input p8]
25. calm(john) [input hypothesis]
40. ! [X0] : (((happy(X0) | ~happy(X0)) | ... | 0 |
If susan is happy then someone is both not calm and humble.
If mary is both calm and tall then someone is either humble or not kind and vice versa.
If someone is both wise and rich then someone is not humble or not old and vice versa.
Everyone who is either curious or not humble is both not rich and funny and vice vers... | Lucy is not wise. | neutral | ((happy(susan))=>(?[X]:((~calm(X)&humble(X)))))&
(((calm(mary)&tall(mary)))<=>(?[X]:((humble(X)<~>~kind(X)))))&
((?[X]:((wise(X)&rich(X))))<=>(?[X]:((~humble(X)|~old(X)))))&
(![X]:((curious(X)<~>~humble(X))<=>(~rich(X)&funny(X))))&
((?[X]:((wise(X)<~>creative(X))))<=>(?[X]:((patient(X)|~calm(X)))))&
(![X]:((wise(X)<~>~... | ~wise(lucy) | [] | null | 0 |
If someone is generous then lucy is kind or happy and vice versa.
If alice is not creative or not curious then someone is strong and vice versa.
Everyone who is both not calm and rich is wise.
Everyone who is happy or strong is either not calm or calm and vice versa.
Everyone who is either not old or not funny is eithe... | Susan is kind. | contradiction | ((?[X]:(generous(X)))<=>((kind(lucy)|happy(lucy))))&
(((~creative(alice)|~curious(alice)))<=>(?[X]:(strong(X))))&
(![X]:((~calm(X)&rich(X))=>wise(X)))&
(![X]:((happy(X)|strong(X))<=>(~calm(X)<~>calm(X))))&
(![X]:((~old(X)<~>~funny(X))<=>(~happy(X)<~>~generous(X))))&
(![X]:((quiet(X)&~creative(X))<=>(~tall(X)|creative(X... | kind(susan) | [
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3189758890460691898632094
% SZS output start Proof for 3189758890460691898632094
14. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> (humble(X0) | ~happy(X0))) [input p13]
23. humble(susan) [input p22]
25. kind(susan) [input hypothesis]
55. ! [X0] : (((~rich(X0) & ~kind(X0)) | (~humble(X0) & happy(... | 0 |
Everyone who is both funny and patient is strong. Everyone who is both not strong and wise is wise or not calm. If someone is creative then paul is not generous or not funny and vice versa. If john is either not curious or strong then susan is both not happy and not humble and vice versa. If someone is either happy or ... | Paul is humble. | neutral | (![X]:((funny(X)&patient(X))=>strong(X)))&
(![X]:((~strong(X)&wise(X))=>(wise(X)|~calm(X))))&
((?[X]:(creative(X)))<=>((~generous(paul)|~funny(paul))))&
(((~curious(john)<~>strong(john)))<=>((~happy(susan)&~humble(susan))))&
((?[X]:((happy(X)<~>~quiet(X))))<=>((humble(lucy)&calm(lucy))))&
(![X]:((~wise(X)<~>kind(X))<=>... | humble(paul) | [] | null | 0 |
If someone is both not humble and not kind then fred is old and vice versa.
If alice is kind or not strong then paul is both old and not creative and vice versa.
If someone is wise then someone is both not kind and not quiet and vice versa.
If someone is not patient then alice is not generous and vice versa.
Everyone w... | Paul is funny. | neutral | ((?[X]:((~humble(X)&~kind(X))))<=>(old(fred)))&
(((kind(alice)|~strong(alice)))<=>((old(paul)&~creative(paul))))&
((?[X]:(wise(X)))<=>(?[X]:((~kind(X)&~quiet(X)))))&
((?[X]:(~patient(X)))<=>(~generous(alice)))&
(![X]:((~patient(X)|rich(X))=>(~rich(X)&~old(X))))&
(![X]:(patient(X)=>(patient(X)<~>kind(X))))&
(![X]:((crea... | funny(paul) | [] | null | 0 |
Everyone who is not quiet is not old or humble and vice versa.
Everyone who is both generous and rich is not kind and vice versa.
Everyone who is either not kind or creative is not old or humble.
If susan is not curious then someone is either quiet or not creative.
If mary is either not calm or tall then alice is not k... | Alice is not creative. | entailment | (![X]:(~quiet(X)<=>(~old(X)|humble(X))))&
(![X]:((generous(X)&rich(X))<=>~kind(X)))&
(![X]:((~kind(X)<~>creative(X))=>(~old(X)|humble(X))))&
((~curious(susan))=>(?[X]:((quiet(X)<~>~creative(X)))))&
(((~calm(mary)<~>tall(mary)))=>((~kind(alice)|brave(alice))))&
(![X]:((~humble(X)|kind(X))=>quiet(X)))&
(![X]:((quiet(X)|~... | ~creative(alice) | [
"p1",
"p5",
"p6",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7393602964026387177479857
% SZS output start Proof for 7393602964026387177479857
2. ! [X0] : ((rich(X0) & generous(X0)) <=> ~kind(X0)) [input p1]
6. ! [X0] : ((kind(X0) | ~humble(X0)) => quiet(X0)) [input p5]
7. ! [X0] : ((~generous(X0) | quiet(X0)) => rich(X0)) [input p6]
16. ! [X0] : ((... | 0 |
Everyone who is creative is both not tall and quiet and vice versa.
Everyone who is patient or not creative is both generous and happy.
If alice is either not kind or not generous then fred is either brave or not happy and vice versa.
Everyone who is funny or not quiet is both not strong and quiet and vice versa.
If ma... | Lucy is tall. | neutral | (![X]:(creative(X)<=>(~tall(X)&quiet(X))))&
(![X]:((patient(X)|~creative(X))=>(generous(X)&happy(X))))&
(((~kind(alice)<~>~generous(alice)))<=>((brave(fred)<~>~happy(fred))))&
(![X]:((funny(X)|~quiet(X))<=>(~strong(X)&quiet(X))))&
(((creative(mary)|~brave(mary)))<=>(?[X]:((~tall(X)|quiet(X)))))&
(![X]:(creative(X)=>(~t... | tall(lucy) | [] | null | 0 |
Everyone who is not brave or calm is either brave or not curious and vice versa. Everyone who is either wise or not patient is both kind and not generous. If someone is humble or rich then john is either old or patient and vice versa. If someone is either not strong or happy then paul is both funny and not brave. Every... | John is not funny. | contradiction | (![X]:((~brave(X)|calm(X))<=>(brave(X)<~>~curious(X))))&
(![X]:((wise(X)<~>~patient(X))=>(kind(X)&~generous(X))))&
((?[X]:((humble(X)|rich(X))))<=>((old(john)<~>patient(john))))&
((?[X]:((~strong(X)<~>happy(X))))=>((funny(paul)&~brave(paul))))&
(![X]:((~humble(X)&~calm(X))=>(rich(X)<~>humble(X))))&
((?[X]:((~calm(X)<~>... | ~funny(john) | [
"p6",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1541001334756438367959262
% SZS output start Proof for 1541001334756438367959262
7. ! [X0] : ((happy(X0) | ~calm(X0)) <=> ~humble(X0)) [input p6]
8. ! [X0] : ((~funny(X0) <~> calm(X0)) => (~rich(X0) & funny(X0))) [input p7]
11. ! [X0] : ((~old(X0) | ~calm(X0)) => ~happy(X0)) [input p10]
1... | 0 |
If lucy is either creative or humble then someone is both not curious and rich.
Everyone who is either not quiet or not strong is both not tall and rich and vice versa.
Everyone who is both not humble and strong is not strong or wise and vice versa.
If someone is both not old and not calm then susan is creative or stro... | Susan is wise. | contradiction | (((creative(lucy)<~>humble(lucy)))=>(?[X]:((~curious(X)&rich(X)))))&
(![X]:((~quiet(X)<~>~strong(X))<=>(~tall(X)&rich(X))))&
(![X]:((~humble(X)&strong(X))<=>(~strong(X)|wise(X))))&
((?[X]:((~old(X)&~calm(X))))=>((creative(susan)|strong(susan))))&
((~generous(john))<=>((~curious(susan)&kind(susan))))&
(![X]:((kind(X)&ca... | wise(susan) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 977640511618950356198477
% SZS output start Proof for 977640511618950356198477
3. ! [X0] : ((strong(X0) & ~humble(X0)) <=> (wise(X0) | ~strong(X0))) [input p2]
9. ! [X0] : (~humble(X0) <=> (~wise(X0) & ~calm(X0))) [input p8]
24. wise(susan) [input hypothesis]
45. ! [X0] : (((strong(X0) & ... | 0 |
If someone is not happy or not brave then lucy is both not creative and not old. Everyone who is brave is either not creative or brave and vice versa. If fred is not funny or not curious then someone is both curious and not creative. If someone is either calm or not tall then someone is not generous and vice versa. If ... | Mary is not happy. | contradiction | ((?[X]:((~happy(X)|~brave(X))))=>((~creative(lucy)&~old(lucy))))&
(![X]:(brave(X)<=>(~creative(X)<~>brave(X))))&
(((~funny(fred)|~curious(fred)))=>(?[X]:((curious(X)&~creative(X)))))&
((?[X]:((calm(X)<~>~tall(X))))<=>(?[X]:(~generous(X))))&
((?[X]:((patient(X)&~old(X))))=>(~humble(fred)))&
(((~humble(mary)<~>tall(mary)... | ~happy(mary) | [
"p0",
"p1",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 587224280711049653620928
% SZS output start Proof for 587224280711049653620928
1. ? [X0] : (~brave(X0) | ~happy(X0)) => (~old(lucy) & ~creative(lucy)) [input p0]
2. ! [X0] : (brave(X0) <=> (~creative(X0) <~> brave(X0))) [input p1]
19. happy(mary) | ~brave(mary) [input p18]
25. ~happy(mary... | 0 |
Everyone who is quiet is either not quiet or rich.
Everyone who is either not creative or calm is not curious or not strong and vice versa.
If mary is wise or rich then someone is humble.
Everyone who is not humble is not rich or rich.
Everyone who is not generous is calm or patient.
If someone is not strong then someo... | Paul is calm. | contradiction | (![X]:(quiet(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~creative(X)<~>calm(X))<=>(~curious(X)|~strong(X))))&
(((wise(mary)|rich(mary)))=>(?[X]:(humble(X))))&
(![X]:(~humble(X)=>(~rich(X)|rich(X))))&
(![X]:(~generous(X)=>(calm(X)|patient(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((kind(X)&old(X)))))&
(![X]:((tall(X)<~>~wise(X))=>(... | calm(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 77083973680381371166608
% SZS output start Proof for 77083973680381371166608
14. ! [X0] : ((calm(X0) | ~quiet(X0)) => (~funny(X0) & funny(X0))) [input p13]
24. calm(paul) [input hypothesis]
37. ! [X0] : ((~funny(X0) & funny(X0)) | (~calm(X0) & quiet(X0))) [ennf transformation 14]
119. fun... | 0 |
Everyone who is kind or old is both not generous and creative.
If john is not strong or curious then mary is either humble or brave.
Everyone who is not wise is not rich.
If john is strong or not old then alice is both kind and not strong.
Everyone who is either generous or not generous is not rich or not humble and vi... | John is happy. | entailment | (![X]:((kind(X)|old(X))=>(~generous(X)&creative(X))))&
(((~strong(john)|curious(john)))=>((humble(mary)<~>brave(mary))))&
(![X]:(~wise(X)=>~rich(X)))&
(((strong(john)|~old(john)))=>((kind(alice)&~strong(alice))))&
(![X]:((generous(X)<~>~generous(X))<=>(~rich(X)|~humble(X))))&
((?[X]:((~wise(X)<~>quiet(X))))<=>((generou... | happy(john) | [
"p2",
"p7",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2565195365995084261255191
% SZS output start Proof for 2565195365995084261255191
3. ! [X0] : (~wise(X0) => ~rich(X0)) [input p2]
8. ! [X0] : ((strong(X0) <~> wise(X0)) <=> (rich(X0) <~> ~strong(X0))) [input p7]
13. ! [X0] : ((~rich(X0) <~> ~happy(X0)) <=> (humble(X0) | creative(X0))) [inp... | 0 |
If john is not wise then paul is either rich or old. Everyone who is either rich or creative is either calm or rich and vice versa. If someone is curious or not kind then paul is both creative and not tall. Everyone who is not happy or not brave is not strong or curious and vice versa. Everyone who is either not rich o... | John is old. | neutral | ((~wise(john))=>((rich(paul)<~>old(paul))))&
(![X]:((rich(X)<~>creative(X))<=>(calm(X)<~>rich(X))))&
((?[X]:((curious(X)|~kind(X))))=>((creative(paul)&~tall(paul))))&
(![X]:((~happy(X)|~brave(X))<=>(~strong(X)|curious(X))))&
(![X]:((~rich(X)<~>~patient(X))<=>(~strong(X)|quiet(X))))&
((?[X]:((~strong(X)&~patient(X))))<=... | old(john) | [] | null | 0 |
Everyone who is both not strong and brave is both not quiet and strong.
If lucy is quiet or not strong then someone is not tall or not creative.
Everyone who is not curious or not patient is both not patient and strong and vice versa.
Everyone who is either funny or not calm is both not quiet and not calm and vice vers... | Fred is tall. | contradiction | (![X]:((~strong(X)&brave(X))=>(~quiet(X)&strong(X))))&
(((quiet(lucy)|~strong(lucy)))=>(?[X]:((~tall(X)|~creative(X)))))&
(![X]:((~curious(X)|~patient(X))<=>(~patient(X)&strong(X))))&
(![X]:((funny(X)<~>~calm(X))<=>(~quiet(X)&~calm(X))))&
(![X]:((brave(X)|kind(X))=>~strong(X)))&
((?[X]:((~humble(X)<~>humble(X))))=>((hu... | tall(fred) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7815998274260114750306018
% SZS output start Proof for 7815998274260114750306018
1. ! [X0] : ((brave(X0) & ~strong(X0)) => (strong(X0) & ~quiet(X0))) [input p0]
4. ! [X0] : ((funny(X0) <~> ~calm(X0)) <=> (~calm(X0) & ~quiet(X0))) [input p3]
5. ! [X0] : ((kind(X0) | brave(X0)) => ~strong(X... | 0 |
If someone is kind then john is patient or not creative and vice versa. If someone is either happy or not humble then mary is either strong or patient and vice versa. Everyone who is both not brave and not old is creative. If someone is not humble or funny then someone is both tall and not wise and vice versa. If someo... | Alice is happy. | neutral | ((?[X]:(kind(X)))<=>((patient(john)|~creative(john))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((strong(mary)<~>patient(mary))))&
(![X]:((~brave(X)&~old(X))=>creative(X)))&
((?[X]:((~humble(X)|funny(X))))<=>(?[X]:((tall(X)&~wise(X)))))&
((?[X]:((~brave(X)&~wise(X))))=>((~quiet(alice)<~>calm(alice))))&
(![X]:((quiet(X)|hum... | happy(alice) | [] | null | 0 |
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