premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is both not curious and happy then lucy is not humble or humble. Everyone who is not calm is either not humble or not happy and vice versa. If someone is curious or happy then susan is both not generous and generous and vice versa. If someone is funny or not happy then someone is not strong and vice versa. E... | Mary is kind. | neutral | ((?[X]:((~curious(X)&happy(X))))=>((~humble(lucy)|humble(lucy))))&
(![X]:(~calm(X)<=>(~humble(X)<~>~happy(X))))&
((?[X]:((curious(X)|happy(X))))<=>((~generous(susan)&generous(susan))))&
((?[X]:((funny(X)|~happy(X))))<=>(?[X]:(~strong(X))))&
(![X]:((~funny(X)&~generous(X))<=>(humble(X)&generous(X))))&
((~rich(paul))=>(~... | kind(mary) | [] | null | 0 |
Everyone who is not strong or not kind is not humble. Everyone who is not tall is both not happy and not calm. Everyone who is both not generous and happy is brave or not old and vice versa. If mary is either happy or not generous then someone is either wise or patient. Everyone who is both not strong and strong is not... | Alice is calm. | entailment | (![X]:((~strong(X)|~kind(X))=>~humble(X)))&
(![X]:(~tall(X)=>(~happy(X)&~calm(X))))&
(![X]:((~generous(X)&happy(X))<=>(brave(X)|~old(X))))&
(((happy(mary)<~>~generous(mary)))=>(?[X]:((wise(X)<~>patient(X)))))&
(![X]:((~strong(X)&strong(X))=>(~curious(X)|brave(X))))&
((?[X]:((rich(X)<~>brave(X))))=>(~calm(paul)))&
((?[X... | calm(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5712522361951192050830942
% SZS output start Proof for 5712522361951192050830942
9. ! [X0] : ((calm(X0) & strong(X0)) <=> (~kind(X0) | ~calm(X0))) [input p8]
24. ~calm(alice) [input hypothesis]
50. ! [X0] : (((calm(X0) & strong(X0)) | (kind(X0) & calm(X0))) & ((~kind(X0) | ~calm(X0)) | (~... | 0 |
Everyone who is not patient is either not funny or curious.
If someone is brave then lucy is either kind or quiet and vice versa.
If fred is curious then someone is not curious and vice versa.
If someone is either not humble or calm then mary is either tall or not quiet and vice versa.
If fred is either kind or curious... | Fred is not wise. | neutral | (![X]:(~patient(X)=>(~funny(X)<~>curious(X))))&
((?[X]:(brave(X)))<=>((kind(lucy)<~>quiet(lucy))))&
((curious(fred))<=>(?[X]:(~curious(X))))&
((?[X]:((~humble(X)<~>calm(X))))<=>((tall(mary)<~>~quiet(mary))))&
(((kind(fred)<~>curious(fred)))<=>(?[X]:(creative(X))))&
((?[X]:((strong(X)<~>~humble(X))))=>(rich(lucy)))&
(![... | ~wise(fred) | [] | null | 0 |
If mary is not calm or patient then paul is both happy and generous and vice versa.
Everyone who is both funny and not generous is either curious or quiet.
If john is not kind or not creative then susan is not creative and vice versa.
If someone is patient or not patient then susan is either happy or not humble and vic... | John is not quiet. | entailment | (((~calm(mary)|patient(mary)))<=>((happy(paul)&generous(paul))))&
(![X]:((funny(X)&~generous(X))=>(curious(X)<~>quiet(X))))&
(((~kind(john)|~creative(john)))<=>(~creative(susan)))&
((?[X]:((patient(X)|~patient(X))))<=>((happy(susan)<~>~humble(susan))))&
((?[X]:((curious(X)|~wise(X))))=>(?[X]:((~humble(X)&~curious(X))))... | ~quiet(john) | [
"p5",
"p7",
"p9",
"p10",
"p14",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4810755767336423149444782
% SZS output start Proof for 4810755767336423149444782
6. ? [X0] : kind(X0) <=> (calm(john) & brave(john)) [input p5]
8. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (~quiet(X0) <~> patient(X0))) [input p7]
10. ! [X0] : ((~calm(X0) <~> ~brave(X0)) <=> (patient(X0) ... | 0 |
Everyone who is either not humble or not rich is either not humble or not kind and vice versa.
If lucy is both not patient and not tall then lucy is both not creative and brave and vice versa.
If someone is both not humble and not tall then someone is not creative or not quiet.
Everyone who is wise is calm or curious a... | Lucy is humble. | neutral | (![X]:((~humble(X)<~>~rich(X))<=>(~humble(X)<~>~kind(X))))&
(((~patient(lucy)&~tall(lucy)))<=>((~creative(lucy)&brave(lucy))))&
((?[X]:((~humble(X)&~tall(X))))=>(?[X]:((~creative(X)|~quiet(X)))))&
(![X]:(wise(X)<=>(calm(X)|curious(X))))&
((?[X]:((happy(X)&~kind(X))))<=>((kind(alice)<~>~generous(alice))))&
(![X]:((~curi... | humble(lucy) | [] | null | 0 |
Everyone who is not patient is curious and vice versa.
If paul is either kind or tall then someone is either not humble or kind and vice versa.
Everyone who is not happy or tall is both not curious and not creative and vice versa.
Everyone who is not wise is either not patient or not quiet and vice versa.
If someone is... | John is rich. | entailment | (![X]:(~patient(X)<=>curious(X)))&
(((kind(paul)<~>tall(paul)))<=>(?[X]:((~humble(X)<~>kind(X)))))&
(![X]:((~happy(X)|tall(X))<=>(~curious(X)&~creative(X))))&
(![X]:(~wise(X)<=>(~patient(X)<~>~quiet(X))))&
((?[X]:((~strong(X)<~>patient(X))))<=>(~old(susan)))&
(![X]:((~quiet(X)|calm(X))=>(funny(X)&~funny(X))))&
(((~wise... | rich(john) | [
"p0",
"p2",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6676816129317966748820688
% SZS output start Proof for 6676816129317966748820688
1. ! [X0] : (~patient(X0) <=> curious(X0)) [input p0]
3. ! [X0] : ((tall(X0) | ~happy(X0)) <=> (~creative(X0) & ~curious(X0))) [input p2]
13. ! [X0] : ((~curious(X0) | brave(X0)) => (rich(X0) & funny(X0))) [i... | 0 |
If fred is rich or not calm then john is both not patient and not tall.
If lucy is both quiet and not kind then mary is not calm and vice versa.
If fred is not happy then someone is creative.
If someone is both not creative and curious then someone is wise or not wise.
Everyone who is both creative and not strong is no... | Susan is not rich. | neutral | (((rich(fred)|~calm(fred)))=>((~patient(john)&~tall(john))))&
(((quiet(lucy)&~kind(lucy)))<=>(~calm(mary)))&
((~happy(fred))=>(?[X]:(creative(X))))&
((?[X]:((~creative(X)&curious(X))))=>(?[X]:((wise(X)|~wise(X)))))&
(![X]:((creative(X)&~strong(X))<=>(~humble(X)|strong(X))))&
(![X]:((~tall(X)&~curious(X))=>(humble(X)|~w... | ~rich(susan) | [] | null | 0 |
If alice is not brave or not tall then susan is either not brave or not kind. If alice is not tall then someone is quiet and vice versa. Everyone who is not creative or kind is both tall and curious and vice versa. If fred is not creative or strong then john is both not curious and funny and vice versa. Everyone who is... | Lucy is funny. | entailment | (((~brave(alice)|~tall(alice)))=>((~brave(susan)<~>~kind(susan))))&
((~tall(alice))<=>(?[X]:(quiet(X))))&
(![X]:((~creative(X)|kind(X))<=>(tall(X)&curious(X))))&
(((~creative(fred)|strong(fred)))<=>((~curious(john)&funny(john))))&
(![X]:(generous(X)=>(~rich(X)<~>~humble(X))))&
(![X]:((~generous(X)|creative(X))<=>(~kind... | funny(lucy) | [
"p2",
"p5",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1048794130258196966586333
% SZS output start Proof for 1048794130258196966586333
3. ! [X0] : ((kind(X0) | ~creative(X0)) <=> (curious(X0) & tall(X0))) [input p2]
6. ! [X0] : ((creative(X0) | ~generous(X0)) <=> (~patient(X0) & ~kind(X0))) [input p5]
10. ? [X0] : (~funny(X0) <~> patient(X0)... | 0 |
Everyone who is funny or not kind is both creative and not happy. Everyone who is both wise and not calm is not creative or calm. Everyone who is old is funny. Everyone who is creative or old is generous and vice versa. Everyone who is both not rich and tall is both not curious and not wise. If mary is either calm or n... | Paul is not kind. | neutral | (![X]:((funny(X)|~kind(X))=>(creative(X)&~happy(X))))&
(![X]:((wise(X)&~calm(X))=>(~creative(X)|calm(X))))&
(![X]:(old(X)=>funny(X)))&
(![X]:((creative(X)|old(X))<=>generous(X)))&
(![X]:((~rich(X)&tall(X))=>(~curious(X)&~wise(X))))&
(((calm(mary)<~>~wise(mary)))<=>(?[X]:((tall(X)<~>old(X)))))&
((?[X]:(~humble(X)))<=>(?... | ~kind(paul) | [] | null | 0 |
Everyone who is both not old and quiet is rich or generous and vice versa.
If fred is both not creative and not happy then mary is either brave or old and vice versa.
Everyone who is curious or happy is not kind and vice versa.
Everyone who is both not strong and quiet is not wise or curious and vice versa.
Everyone wh... | Susan is not creative. | entailment | (![X]:((~old(X)&quiet(X))<=>(rich(X)|generous(X))))&
(((~creative(fred)&~happy(fred)))<=>((brave(mary)<~>old(mary))))&
(![X]:((curious(X)|happy(X))<=>~kind(X)))&
(![X]:((~strong(X)&quiet(X))<=>(~wise(X)|curious(X))))&
(![X]:(~old(X)<=>(~old(X)|quiet(X))))&
(((rich(fred)&~strong(fred)))<=>(?[X]:(~patient(X))))&
(![X]:((... | ~creative(susan) | [
"p0",
"p3",
"p4",
"p12",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2580596212422887598952712
% SZS output start Proof for 2580596212422887598952712
1. ! [X0] : ((quiet(X0) & ~old(X0)) <=> (generous(X0) | rich(X0))) [input p0]
4. ! [X0] : ((quiet(X0) & ~strong(X0)) <=> (curious(X0) | ~wise(X0))) [input p3]
5. ! [X0] : (~old(X0) <=> (quiet(X0) | ~old(X0)))... | 0 |
Everyone who is either not old or quiet is kind and vice versa. Everyone who is either wise or not brave is both strong and not humble and vice versa. If alice is strong then someone is either not humble or quiet and vice versa. If someone is happy then fred is not old or not generous. Everyone who is not happy is brav... | Susan is old. | neutral | (![X]:((~old(X)<~>quiet(X))<=>kind(X)))&
(![X]:((wise(X)<~>~brave(X))<=>(strong(X)&~humble(X))))&
((strong(alice))<=>(?[X]:((~humble(X)<~>quiet(X)))))&
((?[X]:(happy(X)))=>((~old(fred)|~generous(fred))))&
(![X]:(~happy(X)<=>(brave(X)|~patient(X))))&
((?[X]:(~quiet(X)))<=>(creative(lucy)))&
(((~generous(mary)&~tall(mary... | old(susan) | [] | null | 0 |
If paul is both creative and generous then susan is funny or creative and vice versa.
If paul is not funny then someone is both brave and not old and vice versa.
Everyone who is not strong or patient is either not generous or old.
If someone is humble or generous then someone is either not happy or calm and vice versa.... | Mary is quiet. | neutral | (((creative(paul)&generous(paul)))<=>((funny(susan)|creative(susan))))&
((~funny(paul))<=>(?[X]:((brave(X)&~old(X)))))&
(![X]:((~strong(X)|patient(X))=>(~generous(X)<~>old(X))))&
((?[X]:((humble(X)|generous(X))))<=>(?[X]:((~happy(X)<~>calm(X)))))&
(![X]:((~kind(X)<~>rich(X))=>(~strong(X)|~rich(X))))&
(![X]:((curious(X)... | quiet(mary) | [] | null | 0 |
Everyone who is either strong or patient is old.
Everyone who is both old and not happy is both not brave and not patient and vice versa.
Everyone who is both not humble and not tall is strong and vice versa.
Everyone who is either not curious or not funny is either generous or patient and vice versa.
If alice is wise ... | Alice is not generous. | neutral | (![X]:((strong(X)<~>patient(X))=>old(X)))&
(![X]:((old(X)&~happy(X))<=>(~brave(X)&~patient(X))))&
(![X]:((~humble(X)&~tall(X))<=>strong(X)))&
(![X]:((~curious(X)<~>~funny(X))<=>(generous(X)<~>patient(X))))&
((wise(alice))<=>((kind(fred)<~>wise(fred))))&
((rich(alice))=>((~creative(mary)<~>patient(mary))))&
((?[X]:(~fun... | ~generous(alice) | [] | null | 0 |
Everyone who is both not tall and funny is both wise and humble and vice versa. If someone is old then someone is not calm. If fred is humble or not humble then alice is calm and vice versa. If mary is both strong and not generous then john is either not curious or not strong. If alice is either not patient or funny th... | John is brave. | entailment | (![X]:((~tall(X)&funny(X))<=>(wise(X)&humble(X))))&
((?[X]:(old(X)))=>(?[X]:(~calm(X))))&
(((humble(fred)|~humble(fred)))<=>(calm(alice)))&
(((strong(mary)&~generous(mary)))=>((~curious(john)<~>~strong(john))))&
(((~patient(alice)<~>funny(alice)))=>(?[X]:((old(X)|~generous(X)))))&
((?[X]:((humble(X)<~>creative(X))))<=>... | brave(john) | [
"p1",
"p5",
"p6",
"p8",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 498600086959738222456438
% SZS output start Proof for 498600086959738222456438
2. ? [X0] : old(X0) => ? [X0] : ~calm(X0) [input p1]
6. ? [X0] : (humble(X0) <~> creative(X0)) <=> (old(john) & ~generous(john)) [input p5]
7. ! [X0] : ((~curious(X0) | ~patient(X0)) <=> (~rich(X0) & brave(X0))... | 0 |
Everyone who is either not generous or not patient is both not old and rich.
If someone is both rich and strong then alice is happy and vice versa.
Everyone who is creative or generous is old or not wise.
If someone is either not kind or strong then someone is both generous and tall and vice versa.
Everyone who is funn... | John is rich. | contradiction | (![X]:((~generous(X)<~>~patient(X))=>(~old(X)&rich(X))))&
((?[X]:((rich(X)&strong(X))))<=>(happy(alice)))&
(![X]:((creative(X)|generous(X))=>(old(X)|~wise(X))))&
((?[X]:((~kind(X)<~>strong(X))))<=>(?[X]:((generous(X)&tall(X)))))&
(![X]:((funny(X)|~funny(X))=>~tall(X)))&
(![X]:((curious(X)|patient(X))<=>(~patient(X)<~>s... | rich(john) | [
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7932718561434551558411348
% SZS output start Proof for 7932718561434551558411348
5. ! [X0] : ((~funny(X0) | funny(X0)) => ~tall(X0)) [input p4]
13. ! [X0] : (~tall(X0) <=> humble(X0)) [input p12]
14. ! [X0] : ((humble(X0) | happy(X0)) <=> ~rich(X0)) [input p13]
24. rich(john) [input hypot... | 0 |
Everyone who is not brave is not humble and vice versa. Everyone who is patient or not humble is not generous or patient. If someone is not rich or brave then someone is both tall and not kind. Everyone who is either not wise or patient is not tall. Everyone who is either happy or rich is both old and not brave and vic... | Fred is calm. | neutral | (![X]:(~brave(X)<=>~humble(X)))&
(![X]:((patient(X)|~humble(X))=>(~generous(X)|patient(X))))&
((?[X]:((~rich(X)|brave(X))))=>(?[X]:((tall(X)&~kind(X)))))&
(![X]:((~wise(X)<~>patient(X))=>~tall(X)))&
(![X]:((happy(X)<~>rich(X))<=>(old(X)&~brave(X))))&
((~kind(mary))<=>((patient(lucy)|funny(lucy))))&
(![X]:((generous(X)&... | calm(fred) | [] | null | 0 |
Everyone who is not curious or quiet is both old and tall. If someone is patient or not brave then someone is either creative or not tall and vice versa. If paul is brave or strong then john is happy or kind. If someone is brave or not kind then someone is either humble or generous and vice versa. Everyone who is not s... | Fred is funny. | entailment | (![X]:((~curious(X)|quiet(X))=>(old(X)&tall(X))))&
((?[X]:((patient(X)|~brave(X))))<=>(?[X]:((creative(X)<~>~tall(X)))))&
(((brave(paul)|strong(paul)))=>((happy(john)|kind(john))))&
((?[X]:((brave(X)|~kind(X))))<=>(?[X]:((humble(X)<~>generous(X)))))&
(![X]:((~strong(X)|~wise(X))=>(rich(X)<~>calm(X))))&
((old(john))=>(?... | funny(fred) | [
"p0",
"p6",
"p9",
"p10",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 67277013557532219083578
% SZS output start Proof for 67277013557532219083578
1. ! [X0] : ((quiet(X0) | ~curious(X0)) => (tall(X0) & old(X0))) [input p0]
7. ! [X0] : ((funny(X0) <~> ~funny(X0)) => (~strong(X0) | generous(X0))) [input p6]
10. ! [X0] : ((~humble(X0) | ~patient(X0)) => ~curio... | 0 |
Everyone who is patient or not funny is both patient and happy. Everyone who is not kind or not rich is creative and vice versa. If susan is rich then fred is both curious and kind. Everyone who is not quiet or happy is either curious or old. If lucy is either not wise or kind then someone is either brave or not rich a... | Lucy is funny. | entailment | (![X]:((patient(X)|~funny(X))=>(patient(X)&happy(X))))&
(![X]:((~kind(X)|~rich(X))<=>creative(X)))&
((rich(susan))=>((curious(fred)&kind(fred))))&
(![X]:((~quiet(X)|happy(X))=>(curious(X)<~>old(X))))&
(((~wise(lucy)<~>kind(lucy)))<=>(?[X]:((brave(X)<~>~rich(X)))))&
(![X]:((~patient(X)|happy(X))=>~brave(X)))&
((~calm(jo... | funny(lucy) | [
"p0",
"p5",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1492631937440717554646722
% SZS output start Proof for 1492631937440717554646722
1. ! [X0] : ((~funny(X0) | patient(X0)) => (happy(X0) & patient(X0))) [input p0]
6. ! [X0] : ((happy(X0) | ~patient(X0)) => ~brave(X0)) [input p5]
9. ! [X0] : ((humble(X0) & ~happy(X0)) <=> (strong(X0) & tall... | 0 |
Everyone who is not kind or not patient is not patient or not creative and vice versa. Everyone who is both not quiet and not calm is curious. Everyone who is either not humble or not quiet is old and vice versa. If someone is either not happy or curious then fred is either happy or generous and vice versa. Everyone wh... | Fred is not calm. | entailment | (![X]:((~kind(X)|~patient(X))<=>(~patient(X)|~creative(X))))&
(![X]:((~quiet(X)&~calm(X))=>curious(X)))&
(![X]:((~humble(X)<~>~quiet(X))<=>old(X)))&
((?[X]:((~happy(X)<~>curious(X))))<=>((happy(fred)<~>generous(fred))))&
(![X]:((creative(X)<~>~rich(X))=>(wise(X)&~kind(X))))&
((?[X]:((patient(X)&~funny(X))))<=>((~funny(... | ~calm(fred) | [
"p6",
"p7",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3245843231020238002608691
% SZS output start Proof for 3245843231020238002608691
7. ! [X0] : ((~tall(X0) & ~brave(X0)) <=> calm(X0)) [input p6]
8. ! [X0] : ((~curious(X0) <~> ~funny(X0)) <=> brave(X0)) [input p7]
10. ! [X0] : ((funny(X0) & curious(X0)) <=> (old(X0) <~> ~funny(X0))) [input... | 0 |
If someone is either not rich or patient then alice is curious.
Everyone who is not rich is tall or not calm and vice versa.
Everyone who is not happy or not strong is both not funny and strong.
Everyone who is not curious is strong or quiet and vice versa.
Everyone who is not patient is either kind or creative and vic... | John is calm. | entailment | ((?[X]:((~rich(X)<~>patient(X))))=>(curious(alice)))&
(![X]:(~rich(X)<=>(tall(X)|~calm(X))))&
(![X]:((~happy(X)|~strong(X))=>(~funny(X)&strong(X))))&
(![X]:(~curious(X)<=>(strong(X)|quiet(X))))&
(![X]:(~patient(X)<=>(kind(X)<~>creative(X))))&
(((~generous(paul)|~tall(paul)))<=>((~wise(paul)|humble(paul))))&
(![X]:((kin... | calm(john) | [
"p0",
"p1",
"p2",
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1750787210359238166118875
% SZS output start Proof for 1750787210359238166118875
1. ? [X0] : (~rich(X0) <~> patient(X0)) => curious(alice) [input p0]
2. ! [X0] : (~rich(X0) <=> (~calm(X0) | tall(X0))) [input p1]
3. ! [X0] : ((~strong(X0) | ~happy(X0)) => (strong(X0) & ~funny(X0))) [input ... | 0 |
If alice is not creative or old then lucy is tall or not old and vice versa.
Everyone who is both not generous and strong is not rich or old and vice versa.
If someone is not kind then susan is either rich or not rich and vice versa.
If someone is both quiet and rich then someone is creative and vice versa.
If lucy is ... | Alice is wise. | neutral | (((~creative(alice)|old(alice)))<=>((tall(lucy)|~old(lucy))))&
(![X]:((~generous(X)&strong(X))<=>(~rich(X)|old(X))))&
((?[X]:(~kind(X)))<=>((rich(susan)<~>~rich(susan))))&
((?[X]:((quiet(X)&rich(X))))<=>(?[X]:(creative(X))))&
(((~brave(lucy)|~creative(lucy)))<=>(?[X]:((tall(X)|~creative(X)))))&
((?[X]:((happy(X)|wise(X... | wise(alice) | [] | null | 0 |
Everyone who is quiet or patient is both humble and not tall and vice versa.
Everyone who is quiet is either not patient or happy and vice versa.
If someone is both not curious and tall then someone is not wise or not generous and vice versa.
Everyone who is both creative and not old is either not strong or curious.
Ev... | Susan is brave. | neutral | (![X]:((quiet(X)|patient(X))<=>(humble(X)&~tall(X))))&
(![X]:(quiet(X)<=>(~patient(X)<~>happy(X))))&
((?[X]:((~curious(X)&tall(X))))<=>(?[X]:((~wise(X)|~generous(X)))))&
(![X]:((creative(X)&~old(X))=>(~strong(X)<~>curious(X))))&
(![X]:((old(X)<~>~wise(X))<=>(~happy(X)|~creative(X))))&
((?[X]:((calm(X)&quiet(X))))<=>(?[... | brave(susan) | [] | null | 0 |
Everyone who is humble or old is either not funny or not kind.
If susan is tall or not funny then fred is not generous or not brave.
Everyone who is both not brave and not patient is either rich or patient.
Everyone who is either not wise or not quiet is either not rich or calm.
Everyone who is not rich is either humbl... | Fred is not happy. | entailment | (![X]:((humble(X)|old(X))=>(~funny(X)<~>~kind(X))))&
(((tall(susan)|~funny(susan)))=>((~generous(fred)|~brave(fred))))&
(![X]:((~brave(X)&~patient(X))=>(rich(X)<~>patient(X))))&
(![X]:((~wise(X)<~>~quiet(X))=>(~rich(X)<~>calm(X))))&
(![X]:(~rich(X)=>(humble(X)<~>creative(X))))&
(![X]:((funny(X)|tall(X))=>(wise(X)|gener... | ~happy(fred) | [
"p1",
"p10",
"p14",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 273887239516231352982592
% SZS output start Proof for 273887239516231352982592
2. (~funny(susan) | tall(susan)) => (~brave(fred) | ~generous(fred)) [input p1]
11. ! [X0] : ((~humble(X0) | ~generous(X0)) => (~happy(X0) & ~humble(X0))) [input p10]
15. ! [X0] : ((happy(X0) | ~old(X0)) => (cr... | 0 |
If lucy is both creative and tall then alice is both funny and generous.
If fred is rich or not calm then mary is either kind or not kind and vice versa.
Everyone who is either not curious or not rich is either not wise or wise and vice versa.
If paul is either happy or not wise then someone is both happy and rich.
If ... | Lucy is generous. | neutral | (((creative(lucy)&tall(lucy)))=>((funny(alice)&generous(alice))))&
(((rich(fred)|~calm(fred)))<=>((kind(mary)<~>~kind(mary))))&
(![X]:((~curious(X)<~>~rich(X))<=>(~wise(X)<~>wise(X))))&
(((happy(paul)<~>~wise(paul)))=>(?[X]:((happy(X)&rich(X)))))&
((?[X]:((patient(X)|old(X))))<=>((~quiet(mary)&funny(mary))))&
((?[X]:((... | generous(lucy) | [] | null | 0 |
Everyone who is either kind or not funny is calm or patient.
If someone is not quiet then someone is patient or not quiet and vice versa.
Everyone who is not kind is strong and vice versa.
Everyone who is both calm and humble is either calm or old and vice versa.
If someone is either not creative or not strong then som... | John is not strong. | entailment | (![X]:((kind(X)<~>~funny(X))=>(calm(X)|patient(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((patient(X)|~quiet(X)))))&
(![X]:(~kind(X)<=>strong(X)))&
(![X]:((calm(X)&humble(X))<=>(calm(X)<~>old(X))))&
((?[X]:((~creative(X)<~>~strong(X))))<=>(?[X]:((wise(X)<~>~funny(X)))))&
(![X]:((~strong(X)<~>strong(X))=>(~old(X)|strong(X))))&... | ~strong(john) | [
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6459636413475201958817415
% SZS output start Proof for 6459636413475201958817415
17. ~strong(john) <~> ~happy(john) [input p16]
22. ~humble(john) & happy(john) [input p21]
25. strong(john) [input hypothesis]
72. (happy(john) | strong(john)) & (~happy(john) | ~strong(john)) [nnf transforma... | 0 |
If someone is generous or curious then paul is either not wise or not humble and vice versa. Everyone who is generous or not humble is wise or kind and vice versa. Everyone who is not generous or not rich is both wise and funny. Everyone who is both not old and curious is either not happy or old. Everyone who is either... | John is not generous. | contradiction | ((?[X]:((generous(X)|curious(X))))<=>((~wise(paul)<~>~humble(paul))))&
(![X]:((generous(X)|~humble(X))<=>(wise(X)|kind(X))))&
(![X]:((~generous(X)|~rich(X))=>(wise(X)&funny(X))))&
(![X]:((~old(X)&curious(X))=>(~happy(X)<~>old(X))))&
(![X]:((strong(X)<~>~humble(X))=>(generous(X)|~rich(X))))&
(![X]:(~patient(X)=>~curious... | ~generous(john) | [
"p1",
"p2",
"p6",
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7132856507467156609266361
% SZS output start Proof for 7132856507467156609266361
2. ! [X0] : ((~humble(X0) | generous(X0)) <=> (kind(X0) | wise(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | ~generous(X0)) => (funny(X0) & wise(X0))) [input p2]
7. ! [X0] : (~strong(X0) <=> (~happy(X0) & rich(X... | 0 |
Everyone who is both humble and kind is both happy and kind and vice versa.
If fred is either humble or brave then alice is either happy or not tall and vice versa.
If john is calm then someone is happy.
If mary is either happy or not strong then someone is either generous or brave.
Everyone who is either not quiet or ... | Alice is happy. | neutral | (![X]:((humble(X)&kind(X))<=>(happy(X)&kind(X))))&
(((humble(fred)<~>brave(fred)))<=>((happy(alice)<~>~tall(alice))))&
((calm(john))=>(?[X]:(happy(X))))&
(((happy(mary)<~>~strong(mary)))=>(?[X]:((generous(X)<~>brave(X)))))&
(![X]:((~quiet(X)<~>~humble(X))<=>(~creative(X)|~brave(X))))&
(![X]:((~happy(X)&old(X))=>~brave(... | happy(alice) | [] | null | 0 |
If lucy is not brave or creative then alice is both strong and not curious.
If mary is brave or calm then someone is either not old or old and vice versa.
Everyone who is both not happy and curious is funny or not tall.
If susan is not curious or kind then someone is not creative or funny and vice versa.
Everyone who i... | Alice is rich. | entailment | (((~brave(lucy)|creative(lucy)))=>((strong(alice)&~curious(alice))))&
(((brave(mary)|calm(mary)))<=>(?[X]:((~old(X)<~>old(X)))))&
(![X]:((~happy(X)&curious(X))=>(funny(X)|~tall(X))))&
(((~curious(susan)|kind(susan)))<=>(?[X]:((~creative(X)|funny(X)))))&
(![X]:(~quiet(X)=>~creative(X)))&
((?[X]:(~calm(X)))=>(?[X]:((humb... | rich(alice) | [
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 202699985613273625210950
% SZS output start Proof for 202699985613273625210950
12. ! [X0] : (patient(X0) <=> (quiet(X0) & ~patient(X0))) [input p11]
13. ! [X0] : ((quiet(X0) & ~old(X0)) <=> (quiet(X0) <~> ~rich(X0))) [input p12]
24. ~rich(alice) [input hypothesis]
64. ! [X0] : ((patient(X... | 0 |
Everyone who is either creative or calm is either not curious or old and vice versa. Everyone who is not creative is either not happy or not wise. Everyone who is not happy or not curious is kind or humble. Everyone who is kind or not tall is not wise or patient. If paul is either not tall or tall then paul is not tall... | Mary is not happy. | neutral | (![X]:((creative(X)<~>calm(X))<=>(~curious(X)<~>old(X))))&
(![X]:(~creative(X)=>(~happy(X)<~>~wise(X))))&
(![X]:((~happy(X)|~curious(X))=>(kind(X)|humble(X))))&
(![X]:((kind(X)|~tall(X))=>(~wise(X)|patient(X))))&
(((~tall(paul)<~>tall(paul)))=>((~tall(paul)|~patient(paul))))&
(![X]:((~kind(X)&~old(X))<=>(curious(X)<~>~... | ~happy(mary) | [] | null | 0 |
Everyone who is both strong and not generous is curious. Everyone who is either not tall or creative is either tall or not brave and vice versa. If someone is calm or not strong then someone is not kind and vice versa. Everyone who is both calm and not happy is not calm and vice versa. If someone is generous then mary ... | Alice is happy. | entailment | (![X]:((strong(X)&~generous(X))=>curious(X)))&
(![X]:((~tall(X)<~>creative(X))<=>(tall(X)<~>~brave(X))))&
((?[X]:((calm(X)|~strong(X))))<=>(?[X]:(~kind(X))))&
(![X]:((calm(X)&~happy(X))<=>~calm(X)))&
((?[X]:(generous(X)))<=>((creative(mary)<~>~patient(mary))))&
((?[X]:(~rich(X)))=>(?[X]:((~creative(X)&~quiet(X)))))&
(!... | happy(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7244744376925357816798267
% SZS output start Proof for 7244744376925357816798267
4. ! [X0] : ((~happy(X0) & calm(X0)) <=> ~calm(X0)) [input p3]
25. ~happy(alice) [input hypothesis]
45. ! [X0] : (((~happy(X0) & calm(X0)) | calm(X0)) & (~calm(X0) | (happy(X0) | ~calm(X0)))) [nnf transformat... | 0 |
Everyone who is not wise is not funny or strong.
Everyone who is quiet is not funny and vice versa.
Everyone who is not creative is either strong or patient and vice versa.
Everyone who is both not wise and not brave is brave and vice versa.
Everyone who is both kind and not old is both not kind and humble.
If lucy is ... | Alice is not funny. | entailment | (![X]:(~wise(X)=>(~funny(X)|strong(X))))&
(![X]:(quiet(X)<=>~funny(X)))&
(![X]:(~creative(X)<=>(strong(X)<~>patient(X))))&
(![X]:((~wise(X)&~brave(X))<=>brave(X)))&
(![X]:((kind(X)&~old(X))=>(~kind(X)&humble(X))))&
(((~patient(lucy)&creative(lucy)))<=>(?[X]:((tall(X)|brave(X)))))&
(![X]:((~brave(X)|~kind(X))<=>(curious... | ~funny(alice) | [
"p1",
"p3",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5232290890996090644220831
% SZS output start Proof for 5232290890996090644220831
2. ! [X0] : (quiet(X0) <=> ~funny(X0)) [input p1]
4. ! [X0] : ((~brave(X0) & ~wise(X0)) <=> brave(X0)) [input p3]
8. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (brave(X0) | ~wise(X0))) [input p7]
14. ? [X0] : (... | 0 |
Everyone who is quiet or not strong is either not wise or not curious and vice versa.
Everyone who is both not strong and happy is funny or not strong and vice versa.
Everyone who is both not patient and happy is both tall and not wise.
Everyone who is strong or not rich is not funny or patient.
If someone is either ha... | Lucy is strong. | entailment | (![X]:((quiet(X)|~strong(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((~strong(X)&happy(X))<=>(funny(X)|~strong(X))))&
(![X]:((~patient(X)&happy(X))=>(tall(X)&~wise(X))))&
(![X]:((strong(X)|~rich(X))=>(~funny(X)|patient(X))))&
((?[X]:((happy(X)<~>~tall(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(~brave(X)&fun... | strong(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 720437262300563412547121
% SZS output start Proof for 720437262300563412547121
1. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (~wise(X0) <~> ~curious(X0))) [input p0]
2. ! [X0] : ((happy(X0) & ~strong(X0)) <=> (~strong(X0) | funny(X0))) [input p1]
3. ! [X0] : ((happy(X0) & ~patient(X0)) => (~... | 0 |
If lucy is either curious or not rich then someone is rich or not creative.
If someone is not strong then someone is both not creative and not kind and vice versa.
If mary is both wise and not tall then alice is either not generous or not humble.
Everyone who is both old and kind is both not creative and not rich.
Ever... | Lucy is funny. | contradiction | (((curious(lucy)<~>~rich(lucy)))=>(?[X]:((rich(X)|~creative(X)))))&
((?[X]:(~strong(X)))<=>(?[X]:((~creative(X)&~kind(X)))))&
(((wise(mary)&~tall(mary)))=>((~generous(alice)<~>~humble(alice))))&
(![X]:((old(X)&kind(X))=>(~creative(X)&~rich(X))))&
(![X]:((tall(X)<~>wise(X))<=>(~kind(X)<~>tall(X))))&
(![X]:((quiet(X)&~ca... | funny(lucy) | [
"p1",
"p5",
"p7",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 716777412777360004456088
% SZS output start Proof for 716777412777360004456088
2. ? [X0] : ~strong(X0) <=> ? [X0] : (~kind(X0) & ~creative(X0)) [input p1]
6. ! [X0] : ((~calm(X0) & quiet(X0)) <=> (~wise(X0) | strong(X0))) [input p5]
8. ! [X0] : (~strong(X0) <=> (~kind(X0) <~> curious(X0))... | 0 |
If lucy is either not happy or not strong then fred is either not funny or tall and vice versa.
Everyone who is tall or not quiet is both not calm and not funny and vice versa.
If john is curious or not wise then mary is either calm or happy.
Everyone who is either curious or creative is not funny or curious and vice v... | Paul is tall. | entailment | (((~happy(lucy)<~>~strong(lucy)))<=>((~funny(fred)<~>tall(fred))))&
(![X]:((tall(X)|~quiet(X))<=>(~calm(X)&~funny(X))))&
(((curious(john)|~wise(john)))=>((calm(mary)<~>happy(mary))))&
(![X]:((curious(X)<~>creative(X))<=>(~funny(X)|curious(X))))&
(((~creative(alice)|~humble(alice)))<=>(?[X]:((happy(X)&~old(X)))))&
((?[X... | tall(paul) | [
"p3",
"p7",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1677811646301882419462989
% SZS output start Proof for 1677811646301882419462989
4. ! [X0] : ((curious(X0) <~> creative(X0)) <=> (curious(X0) | ~funny(X0))) [input p3]
8. ! [X0] : ((~generous(X0) & ~curious(X0)) <=> calm(X0)) [input p7]
10. ! [X0] : ((~generous(X0) & ~kind(X0)) <=> (rich(... | 0 |
Everyone who is either not rich or humble is either generous or not tall.
If someone is either creative or happy then susan is quiet or not patient and vice versa.
If someone is calm or generous then mary is both not quiet and tall.
If someone is either creative or not funny then someone is not creative or wise and vic... | Paul is not curious. | entailment | (![X]:((~rich(X)<~>humble(X))=>(generous(X)<~>~tall(X))))&
((?[X]:((creative(X)<~>happy(X))))<=>((quiet(susan)|~patient(susan))))&
((?[X]:((calm(X)|generous(X))))=>((~quiet(mary)&tall(mary))))&
((?[X]:((creative(X)<~>~funny(X))))<=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:((happy(X)|wise(X))=>(brave(X)|curious(X))))&
((... | ~curious(paul) | [
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5764905717389639006860346
% SZS output start Proof for 5764905717389639006860346
9. ! [X0] : ((~kind(X0) | ~strong(X0)) <=> (rich(X0) & ~quiet(X0))) [input p8]
10. ! [X0] : ((~patient(X0) & curious(X0)) => ~rich(X0)) [input p9]
11. ! [X0] : ((~funny(X0) | ~patient(X0)) => (~patient(X0) & ... | 0 |
Everyone who is both creative and calm is not happy or not creative and vice versa.
Everyone who is strong or not generous is both calm and not calm.
Everyone who is either quiet or not generous is both wise and not happy.
If someone is not humble then john is both old and tall.
Everyone who is patient or not brave is ... | Paul is creative. | entailment | (![X]:((creative(X)&calm(X))<=>(~happy(X)|~creative(X))))&
(![X]:((strong(X)|~generous(X))=>(calm(X)&~calm(X))))&
(![X]:((quiet(X)<~>~generous(X))=>(wise(X)&~happy(X))))&
((?[X]:(~humble(X)))=>((old(john)&tall(john))))&
(![X]:((patient(X)|~brave(X))=>~strong(X)))&
(((curious(paul)<~>wise(paul)))=>(?[X]:((humble(X)&calm... | creative(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3369832345612201861966382
% SZS output start Proof for 3369832345612201861966382
1. ! [X0] : ((calm(X0) & creative(X0)) <=> (~creative(X0) | ~happy(X0))) [input p0]
23. ~creative(paul) [input hypothesis]
37. ! [X0] : (((calm(X0) & creative(X0)) | (creative(X0) & happy(X0))) & ((~creative(... | 0 |
If someone is brave then susan is both old and not strong and vice versa.
Everyone who is both not patient and quiet is either not curious or kind and vice versa.
Everyone who is kind or wise is either curious or not funny.
Everyone who is either not funny or old is not funny.
If john is either quiet or funny then some... | John is rich. | contradiction | ((?[X]:(brave(X)))<=>((old(susan)&~strong(susan))))&
(![X]:((~patient(X)&quiet(X))<=>(~curious(X)<~>kind(X))))&
(![X]:((kind(X)|wise(X))=>(curious(X)<~>~funny(X))))&
(![X]:((~funny(X)<~>old(X))=>~funny(X)))&
(((quiet(john)<~>funny(john)))=>(?[X]:((~tall(X)&~creative(X)))))&
((?[X]:((~humble(X)<~>calm(X))))<=>(?[X]:((~k... | rich(john) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3614111484871723118487032
% SZS output start Proof for 3614111484871723118487032
9. ! [X0] : (rich(X0) <=> (~happy(X0) & ~tall(X0))) [input p8]
12. ! [X0] : ((~old(X0) & happy(X0)) <=> (~funny(X0) | funny(X0))) [input p11]
22. rich(john) [input hypothesis]
54. ! [X0] : ((rich(X0) | (happy... | 0 |
If someone is strong then someone is not happy or not rich.
If alice is kind or not curious then someone is not quiet or not strong and vice versa.
Everyone who is both tall and funny is not curious or rich and vice versa.
If someone is not generous or strong then mary is both strong and not humble.
If someone is both ... | Susan is not quiet. | neutral | ((?[X]:(strong(X)))=>(?[X]:((~happy(X)|~rich(X)))))&
(((kind(alice)|~curious(alice)))<=>(?[X]:((~quiet(X)|~strong(X)))))&
(![X]:((tall(X)&funny(X))<=>(~curious(X)|rich(X))))&
((?[X]:((~generous(X)|strong(X))))=>((strong(mary)&~humble(mary))))&
((?[X]:((creative(X)&~calm(X))))=>((patient(fred)|~strong(fred))))&
(![X]:((... | ~quiet(susan) | [] | null | 0 |
If someone is humble or not calm then lucy is not kind or funny and vice versa.
If paul is not quiet then john is not rich.
If paul is rich or generous then paul is not curious and vice versa.
If lucy is not brave or tall then someone is curious.
Everyone who is not funny is both quiet and generous.
Everyone who is eit... | Lucy is funny. | neutral | ((?[X]:((humble(X)|~calm(X))))<=>((~kind(lucy)|funny(lucy))))&
((~quiet(paul))=>(~rich(john)))&
(((rich(paul)|generous(paul)))<=>(~curious(paul)))&
(((~brave(lucy)|tall(lucy)))=>(?[X]:(curious(X))))&
(![X]:(~funny(X)=>(quiet(X)&generous(X))))&
(![X]:((~strong(X)<~>rich(X))<=>(~happy(X)&~curious(X))))&
((?[X]:((~tall(X)... | funny(lucy) | [] | null | 0 |
If someone is not strong then lucy is either old or calm and vice versa.
Everyone who is both not tall and not happy is not funny and vice versa.
Everyone who is not patient is rich and vice versa.
If john is both strong and not quiet then someone is not curious and vice versa.
If someone is not creative then someone i... | Mary is not quiet. | contradiction | ((?[X]:(~strong(X)))<=>((old(lucy)<~>calm(lucy))))&
(![X]:((~tall(X)&~happy(X))<=>~funny(X)))&
(![X]:(~patient(X)<=>rich(X)))&
(((strong(john)&~quiet(john)))<=>(?[X]:(~curious(X))))&
((?[X]:(~creative(X)))=>(?[X]:(~tall(X))))&
((~old(john))=>(?[X]:((~old(X)|~rich(X)))))&
((quiet(mary))<=>(?[X]:((~rich(X)|strong(X)))))&... | ~quiet(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3093145150899451195468028
% SZS output start Proof for 3093145150899451195468028
10. ! [X0] : (wise(X0) <=> (~wise(X0) <~> quiet(X0))) [input p9]
25. ~quiet(mary) [input hypothesis]
63. ! [X0] : ((wise(X0) | ((~wise(X0) | ~quiet(X0)) & (quiet(X0) | wise(X0)))) & (((~quiet(X0) | wise(X0)) ... | 0 |
Everyone who is either old or not brave is humble and vice versa. Everyone who is both not tall and not happy is generous. If paul is not rich then someone is both not curious and tall and vice versa. Everyone who is both curious and not kind is not happy and vice versa. If fred is not kind or tall then someone is not ... | Mary is happy. | neutral | (![X]:((old(X)<~>~brave(X))<=>humble(X)))&
(![X]:((~tall(X)&~happy(X))=>generous(X)))&
((~rich(paul))<=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:((curious(X)&~kind(X))<=>~happy(X)))&
(((~kind(fred)|tall(fred)))<=>(?[X]:((~kind(X)|~patient(X)))))&
((?[X]:((kind(X)&tall(X))))=>((~happy(paul)|~strong(paul))))&
((?[X]:((~tal... | happy(mary) | [] | null | 0 |
If someone is both funny and not funny then someone is not calm or not tall. If john is both old and creative then someone is either rich or not wise. Everyone who is wise is both not humble and humble and vice versa. Everyone who is not wise or curious is either kind or happy. Everyone who is both kind and not patient... | Mary is kind. | contradiction | ((?[X]:((funny(X)&~funny(X))))=>(?[X]:((~calm(X)|~tall(X)))))&
(((old(john)&creative(john)))=>(?[X]:((rich(X)<~>~wise(X)))))&
(![X]:(wise(X)<=>(~humble(X)&humble(X))))&
(![X]:((~wise(X)|curious(X))=>(kind(X)<~>happy(X))))&
(![X]:((kind(X)&~patient(X))=>(~humble(X)|curious(X))))&
(![X]:(~humble(X)<=>(patient(X)|rich(X))... | kind(mary) | [
"p2",
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5310572744096506588510010
% SZS output start Proof for 5310572744096506588510010
3. ! [X0] : (wise(X0) <=> (humble(X0) & ~humble(X0))) [input p2]
4. ! [X0] : ((curious(X0) | ~wise(X0)) => (kind(X0) <~> happy(X0))) [input p3]
16. ! [X0] : ((creative(X0) | ~wise(X0)) => (happy(X0) & tall(X0... | 0 |
Everyone who is calm or not strong is curious and vice versa. Everyone who is not rich is funny. Everyone who is either not old or calm is humble. Everyone who is either not brave or kind is both wise and not wise. Everyone who is patient or creative is not happy and vice versa. Everyone who is both happy and rich is n... | Alice is not wise. | contradiction | (![X]:((calm(X)|~strong(X))<=>curious(X)))&
(![X]:(~rich(X)=>funny(X)))&
(![X]:((~old(X)<~>calm(X))=>humble(X)))&
(![X]:((~brave(X)<~>kind(X))=>(wise(X)&~wise(X))))&
(![X]:((patient(X)|creative(X))<=>~happy(X)))&
(![X]:((happy(X)&rich(X))<=>(~wise(X)|~tall(X))))&
(![X]:((~strong(X)|~brave(X))<=>(~kind(X)&tall(X))))&
(!... | ~wise(alice) | [
"p12",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3968474136436898816946583
% SZS output start Proof for 3968474136436898816946583
13. ! [X0] : ((creative(X0) | ~old(X0)) => wise(X0)) [input p12]
18. ~generous(alice) | creative(alice) [input p17]
23. funny(alice) & generous(alice) [input p22]
24. ~wise(alice) [input hypothesis]
29. gener... | 0 |
If someone is brave then john is rich or not rich.
If someone is either strong or curious then susan is both strong and not strong and vice versa.
Everyone who is not generous is not wise.
Everyone who is both not rich and tall is not generous.
Everyone who is either not funny or rich is patient.
Everyone who is both k... | Alice is curious. | entailment | ((?[X]:(brave(X)))=>((rich(john)|~rich(john))))&
((?[X]:((strong(X)<~>curious(X))))<=>((strong(susan)&~strong(susan))))&
(![X]:(~generous(X)=>~wise(X)))&
(![X]:((~rich(X)&tall(X))=>~generous(X)))&
(![X]:((~funny(X)<~>rich(X))=>patient(X)))&
(![X]:((kind(X)&~generous(X))<=>(~calm(X)<~>rich(X))))&
(![X]:(~generous(X)<=>p... | curious(alice) | [
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6010594430509373077844098
% SZS output start Proof for 6010594430509373077844098
7. ! [X0] : (~generous(X0) <=> patient(X0)) [input p6]
11. ! [X0] : ((~wise(X0) & curious(X0)) <=> ~generous(X0)) [input p10]
13. ! [X0] : ((curious(X0) | patient(X0)) <=> (kind(X0) <~> ~kind(X0))) [input p12... | 0 |
Everyone who is either calm or not tall is either not curious or brave and vice versa.
If someone is not curious or patient then paul is either not curious or not creative and vice versa.
If someone is generous or not patient then john is not curious or not rich.
If fred is kind then mary is both wise and not kind and ... | Susan is not old. | contradiction | (![X]:((calm(X)<~>~tall(X))<=>(~curious(X)<~>brave(X))))&
((?[X]:((~curious(X)|patient(X))))<=>((~curious(paul)<~>~creative(paul))))&
((?[X]:((generous(X)|~patient(X))))=>((~curious(john)|~rich(john))))&
((kind(fred))<=>((wise(mary)&~kind(mary))))&
(![X]:((curious(X)<~>patient(X))=>(rich(X)|~rich(X))))&
((?[X]:(tall(X)... | ~old(susan) | [
"p9",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6970981251545511925915786
% SZS output start Proof for 6970981251545511925915786
10. ? [X0] : (~calm(X0) <~> humble(X0)) <=> old(susan) [input p9]
12. ! [X0] : ((~humble(X0) & calm(X0)) => (patient(X0) & ~curious(X0))) [input p11]
15. ! [X0] : ((creative(X0) | ~curious(X0)) => humble(X0))... | 0 |
If lucy is both not calm and quiet then paul is either old or wise and vice versa.
If alice is either calm or humble then someone is both not quiet and quiet.
Everyone who is both brave and calm is both not funny and curious.
Everyone who is curious is not quiet or not brave.
Everyone who is not old is both patient and... | Fred is humble. | contradiction | (((~calm(lucy)&quiet(lucy)))<=>((old(paul)<~>wise(paul))))&
(((calm(alice)<~>humble(alice)))=>(?[X]:((~quiet(X)&quiet(X)))))&
(![X]:((brave(X)&calm(X))=>(~funny(X)&curious(X))))&
(![X]:(curious(X)=>(~quiet(X)|~brave(X))))&
(![X]:(~old(X)=>(patient(X)&brave(X))))&
(![X]:((patient(X)|~kind(X))=>~old(X)))&
((?[X]:(~quiet(... | humble(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5400618212519182042387040
% SZS output start Proof for 5400618212519182042387040
11. ! [X0] : ((funny(X0) & ~humble(X0)) <=> (~kind(X0) <~> kind(X0))) [input p10]
25. humble(fred) [input hypothesis]
55. ! [X0] : (((funny(X0) & ~humble(X0)) | ((~kind(X0) | ~kind(X0)) & (kind(X0) | kind(X0)... | 0 |
If lucy is old or not tall then paul is wise or curious.
Everyone who is humble is both not calm and not generous and vice versa.
Everyone who is quiet or not brave is rich and vice versa.
If paul is either creative or funny then paul is tall.
Everyone who is curious is not strong.
If lucy is not brave then lucy is eit... | Paul is not rich. | neutral | (((old(lucy)|~tall(lucy)))=>((wise(paul)|curious(paul))))&
(![X]:(humble(X)<=>(~calm(X)&~generous(X))))&
(![X]:((quiet(X)|~brave(X))<=>rich(X)))&
(((creative(paul)<~>funny(paul)))=>(tall(paul)))&
(![X]:(curious(X)=>~strong(X)))&
((~brave(lucy))=>((rich(lucy)<~>~tall(lucy))))&
((brave(mary))=>((humble(paul)<~>funny(paul... | ~rich(paul) | [] | null | 0 |
Everyone who is not humble is both not tall and not kind and vice versa.
If john is both not quiet and tall then someone is both not wise and not brave.
If someone is old then susan is not wise or not brave and vice versa.
Everyone who is not old is not curious.
If someone is either not happy or generous then someone i... | Fred is not kind. | contradiction | (![X]:(~humble(X)<=>(~tall(X)&~kind(X))))&
(((~quiet(john)&tall(john)))=>(?[X]:((~wise(X)&~brave(X)))))&
((?[X]:(old(X)))<=>((~wise(susan)|~brave(susan))))&
(![X]:(~old(X)=>~curious(X)))&
((?[X]:((~happy(X)<~>generous(X))))=>(?[X]:((old(X)<~>~quiet(X)))))&
(((~strong(fred)<~>rich(fred)))=>(~patient(susan)))&
(![X]:((ca... | ~kind(fred) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5640120016656285333210527
% SZS output start Proof for 5640120016656285333210527
24. kind(fred) [input p23]
25. ~kind(fred) [input hypothesis]
130. kind(fred) [cnf transformation 24]
131. ~kind(fred) [cnf transformation 25]
265. $false [subsumption resolution 131,130]
% SZS output end Pro... | 0 |
Everyone who is either patient or strong is both not tall and humble and vice versa.
If someone is funny or not wise then alice is both not humble and not old.
If someone is both curious and not rich then john is not humble or not curious and vice versa.
Everyone who is both quiet and curious is both not kind and patie... | Fred is strong. | contradiction | (![X]:((patient(X)<~>strong(X))<=>(~tall(X)&humble(X))))&
((?[X]:((funny(X)|~wise(X))))=>((~humble(alice)&~old(alice))))&
((?[X]:((curious(X)&~rich(X))))<=>((~humble(john)|~curious(john))))&
(![X]:((quiet(X)&curious(X))<=>(~kind(X)&patient(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))<=>(tall(susan)))&
(![X]:(patient(X)<... | strong(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7510815061314878318311935
% SZS output start Proof for 7510815061314878318311935
8. ! [X0] : ((strong(X0) <~> ~kind(X0)) <=> ~kind(X0)) [input p7]
25. strong(fred) [input hypothesis]
51. ! [X0] : ((((kind(X0) | ~strong(X0)) & (~kind(X0) | strong(X0))) | kind(X0)) & (~kind(X0) | ((strong(X... | 0 |
If someone is both old and not generous then mary is not kind or curious.
Everyone who is funny or not generous is not tall.
If paul is both not wise and creative then someone is either tall or brave and vice versa.
If fred is either quiet or humble then someone is both not kind and kind and vice versa.
If john is eith... | Fred is creative. | neutral | ((?[X]:((old(X)&~generous(X))))=>((~kind(mary)|curious(mary))))&
(![X]:((funny(X)|~generous(X))=>~tall(X)))&
(((~wise(paul)&creative(paul)))<=>(?[X]:((tall(X)<~>brave(X)))))&
(((quiet(fred)<~>humble(fred)))<=>(?[X]:((~kind(X)&kind(X)))))&
(((~quiet(john)<~>~calm(john)))=>((humble(john)|calm(john))))&
((~curious(paul))=... | creative(fred) | [] | null | 0 |
Everyone who is not patient is both not wise and tall and vice versa. If someone is tall or wise then mary is both not calm and not patient and vice versa. If fred is brave then someone is both rich and not old. Everyone who is both happy and generous is old or wise and vice versa. If someone is either not happy or tal... | Alice is happy. | contradiction | (![X]:(~patient(X)<=>(~wise(X)&tall(X))))&
((?[X]:((tall(X)|wise(X))))<=>((~calm(mary)&~patient(mary))))&
((brave(fred))=>(?[X]:((rich(X)&~old(X)))))&
(![X]:((happy(X)&generous(X))<=>(old(X)|wise(X))))&
((?[X]:((~happy(X)<~>tall(X))))=>(?[X]:((~curious(X)&patient(X)))))&
((?[X]:(~patient(X)))<=>(rich(alice)))&
(![X]:((... | happy(alice) | [
"p0",
"p1",
"p3",
"p6",
"p9",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 737017858738170956659950
% SZS output start Proof for 737017858738170956659950
1. ! [X0] : (~patient(X0) <=> (tall(X0) & ~wise(X0))) [input p0]
2. ? [X0] : (wise(X0) | tall(X0)) <=> (~patient(mary) & ~calm(mary)) [input p1]
4. ! [X0] : ((generous(X0) & happy(X0)) <=> (wise(X0) | old(X0)))... | 0 |
Everyone who is both tall and brave is either generous or not brave.
If someone is strong then mary is not brave or not rich and vice versa.
If someone is both not quiet and not patient then someone is both old and not creative and vice versa.
If john is curious then someone is brave and vice versa.
If someone is eithe... | Susan is not old. | contradiction | (![X]:((tall(X)&brave(X))=>(generous(X)<~>~brave(X))))&
((?[X]:(strong(X)))<=>((~brave(mary)|~rich(mary))))&
((?[X]:((~quiet(X)&~patient(X))))<=>(?[X]:((old(X)&~creative(X)))))&
((curious(john))<=>(?[X]:(brave(X))))&
((?[X]:((~calm(X)<~>curious(X))))<=>((curious(john)<~>strong(john))))&
(![X]:((patient(X)|rich(X))<=>wi... | ~old(susan) | [
"p5",
"p7",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 212215476378593741800466
% SZS output start Proof for 212215476378593741800466
6. ! [X0] : ((rich(X0) | patient(X0)) <=> wise(X0)) [input p5]
8. ! [X0] : ((~tall(X0) | ~patient(X0)) <=> rich(X0)) [input p7]
11. (~rich(susan) & old(susan)) <=> ? [X0] : (~wise(X0) <~> rich(X0)) [input p10]
... | 0 |
If someone is not generous or not happy then someone is not old.
Everyone who is both creative and not humble is both not brave and wise and vice versa.
Everyone who is both patient and not rich is both not old and old.
Everyone who is both not rich and not funny is both not calm and not wise and vice versa.
If mary is... | Fred is not creative. | neutral | ((?[X]:((~generous(X)|~happy(X))))=>(?[X]:(~old(X))))&
(![X]:((creative(X)&~humble(X))<=>(~brave(X)&wise(X))))&
(![X]:((patient(X)&~rich(X))=>(~old(X)&old(X))))&
(![X]:((~rich(X)&~funny(X))<=>(~calm(X)&~wise(X))))&
((~creative(mary))<=>(?[X]:((~kind(X)&~quiet(X)))))&
(![X]:((~kind(X)&old(X))<=>quiet(X)))&
(((old(fred)<... | ~creative(fred) | [] | null | 0 |
Everyone who is both not wise and not funny is not old. Everyone who is either not kind or creative is not curious and vice versa. If paul is both not strong and quiet then someone is old or not brave. Everyone who is tall or happy is either not generous or not curious. Everyone who is either not creative or not curiou... | Alice is wise. | entailment | (![X]:((~wise(X)&~funny(X))=>~old(X)))&
(![X]:((~kind(X)<~>creative(X))<=>~curious(X)))&
(((~strong(paul)&quiet(paul)))=>(?[X]:((old(X)|~brave(X)))))&
(![X]:((tall(X)|happy(X))=>(~generous(X)<~>~curious(X))))&
(![X]:((~creative(X)<~>~curious(X))=>(generous(X)|wise(X))))&
(![X]:((kind(X)&~old(X))=>(wise(X)|~curious(X)))... | wise(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3102935168410338314683053
% SZS output start Proof for 3102935168410338314683053
14. ! [X0] : ((patient(X0) & wise(X0)) <=> ~wise(X0)) [input p13]
23. ~wise(alice) [input hypothesis]
57. ! [X0] : (((patient(X0) & wise(X0)) | wise(X0)) & (~wise(X0) | (~patient(X0) | ~wise(X0)))) [nnf trans... | 0 |
Everyone who is both strong and not tall is not wise or funny.
Everyone who is both not rich and quiet is either kind or not quiet.
Everyone who is not calm or happy is not brave.
Everyone who is either not wise or not tall is not funny and vice versa.
If someone is quiet then paul is not curious.
If john is either tal... | Mary is brave. | contradiction | (![X]:((strong(X)&~tall(X))=>(~wise(X)|funny(X))))&
(![X]:((~rich(X)&quiet(X))=>(kind(X)<~>~quiet(X))))&
(![X]:((~calm(X)|happy(X))=>~brave(X)))&
(![X]:((~wise(X)<~>~tall(X))<=>~funny(X)))&
((?[X]:(quiet(X)))=>(~curious(paul)))&
(((tall(john)<~>funny(john)))=>(?[X]:((~rich(X)&~tall(X)))))&
(![X]:((~old(X)&brave(X))<=>(... | brave(mary) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6832703353247638648428360
% SZS output start Proof for 6832703353247638648428360
3. ! [X0] : ((happy(X0) | ~calm(X0)) => ~brave(X0)) [input p2]
9. ! [X0] : ((~old(X0) <~> old(X0)) <=> (happy(X0) & curious(X0))) [input p8]
22. brave(mary) [input hypothesis]
28. ! [X0] : (~brave(X0) | (~hap... | 0 |
Everyone who is either happy or not tall is either not wise or not patient and vice versa.
If someone is both strong and not creative then someone is either not wise or not kind and vice versa.
If someone is both not creative and not generous then someone is kind or not funny and vice versa.
Everyone who is calm or fun... | Lucy is brave. | neutral | (![X]:((happy(X)<~>~tall(X))<=>(~wise(X)<~>~patient(X))))&
((?[X]:((strong(X)&~creative(X))))<=>(?[X]:((~wise(X)<~>~kind(X)))))&
((?[X]:((~creative(X)&~generous(X))))<=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:((calm(X)|funny(X))=>(old(X)&funny(X))))&
((~happy(paul))<=>(?[X]:((~old(X)|~strong(X)))))&
(![X]:(~old(X)<=>~humb... | brave(lucy) | [] | null | 0 |
Everyone who is not happy is not generous and vice versa.
Everyone who is not tall or not calm is both old and not strong and vice versa.
Everyone who is not creative is both humble and old.
If mary is not strong or not humble then john is either not strong or calm.
If alice is either calm or tall then paul is curious ... | John is not quiet. | contradiction | (![X]:(~happy(X)<=>~generous(X)))&
(![X]:((~tall(X)|~calm(X))<=>(old(X)&~strong(X))))&
(![X]:(~creative(X)=>(humble(X)&old(X))))&
(((~strong(mary)|~humble(mary)))=>((~strong(john)<~>calm(john))))&
(((calm(alice)<~>tall(alice)))<=>(curious(paul)))&
(![X]:((~quiet(X)<~>~rich(X))=>(curious(X)&~brave(X))))&
((?[X]:((~old(X... | ~quiet(john) | [
"p2",
"p10",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2847437121552608435377238
% SZS output start Proof for 2847437121552608435377238
3. ! [X0] : (~creative(X0) => (old(X0) & humble(X0))) [input p2]
11. ! [X0] : ((funny(X0) | ~strong(X0)) <=> (quiet(X0) <~> ~humble(X0))) [input p10]
14. ! [X0] : (~wise(X0) <=> (wise(X0) & strong(X0))) [inpu... | 0 |
Everyone who is not funny or patient is either happy or kind.
If paul is both not kind and not strong then someone is generous or strong and vice versa.
Everyone who is rich or funny is either kind or not strong and vice versa.
If alice is either quiet or not brave then someone is both not wise and not patient and vice... | Alice is humble. | neutral | (![X]:((~funny(X)|patient(X))=>(happy(X)<~>kind(X))))&
(((~kind(paul)&~strong(paul)))<=>(?[X]:((generous(X)|strong(X)))))&
(![X]:((rich(X)|funny(X))<=>(kind(X)<~>~strong(X))))&
(((quiet(alice)<~>~brave(alice)))<=>(?[X]:((~wise(X)&~patient(X)))))&
(((quiet(paul)|patient(paul)))<=>(?[X]:((brave(X)|~old(X)))))&
(![X]:(~cr... | humble(alice) | [] | null | 0 |
If susan is either patient or not funny then alice is both strong and happy.
If mary is not rich or happy then someone is not patient and vice versa.
Everyone who is strong is not rich or quiet and vice versa.
If someone is kind then lucy is both quiet and happy and vice versa.
Everyone who is both old and not strong i... | Alice is happy. | neutral | (((patient(susan)<~>~funny(susan)))=>((strong(alice)&happy(alice))))&
(((~rich(mary)|happy(mary)))<=>(?[X]:(~patient(X))))&
(![X]:(strong(X)<=>(~rich(X)|quiet(X))))&
((?[X]:(kind(X)))<=>((quiet(lucy)&happy(lucy))))&
(![X]:((old(X)&~strong(X))=>(~funny(X)<~>patient(X))))&
(![X]:((~strong(X)|~generous(X))<=>(~wise(X)<~>~... | happy(alice) | [] | null | 0 |
If paul is not creative then paul is funny or humble.
Everyone who is both calm and not quiet is not calm and vice versa.
Everyone who is either curious or calm is both generous and not humble and vice versa.
If someone is either not calm or happy then someone is brave and vice versa.
Everyone who is either old or stro... | Lucy is calm. | entailment | ((~creative(paul))=>((funny(paul)|humble(paul))))&
(![X]:((calm(X)&~quiet(X))<=>~calm(X)))&
(![X]:((curious(X)<~>calm(X))<=>(generous(X)&~humble(X))))&
((?[X]:((~calm(X)<~>happy(X))))<=>(?[X]:(brave(X))))&
(![X]:((old(X)<~>strong(X))=>(~humble(X)|~patient(X))))&
(((humble(paul)|~tall(paul)))<=>(?[X]:((wise(X)|tall(X)))... | calm(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7218433144622228559380003
% SZS output start Proof for 7218433144622228559380003
2. ! [X0] : ((~quiet(X0) & calm(X0)) <=> ~calm(X0)) [input p1]
25. ~calm(lucy) [input hypothesis]
37. ! [X0] : (((~quiet(X0) & calm(X0)) | calm(X0)) & (~calm(X0) | (quiet(X0) | ~calm(X0)))) [nnf transformatio... | 0 |
Everyone who is both wise and not rich is either not calm or not rich.
Everyone who is not old or brave is not tall or not patient and vice versa.
Everyone who is both curious and not brave is calm or not generous.
If fred is not rich then susan is either not creative or funny.
If someone is wise or funny then fred is ... | John is not tall. | entailment | (![X]:((wise(X)&~rich(X))=>(~calm(X)<~>~rich(X))))&
(![X]:((~old(X)|brave(X))<=>(~tall(X)|~patient(X))))&
(![X]:((curious(X)&~brave(X))=>(calm(X)|~generous(X))))&
((~rich(fred))=>((~creative(susan)<~>funny(susan))))&
((?[X]:((wise(X)|funny(X))))<=>(~old(fred)))&
(![X]:((~old(X)&old(X))=>(rich(X)|~wise(X))))&
((?[X]:((~... | ~tall(john) | [
"p7",
"p8",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1784036418086995592390633
% SZS output start Proof for 1784036418086995592390633
8. ! [X0] : (~humble(X0) => (~creative(X0) | ~rich(X0))) [input p7]
9. ! [X0] : (~rich(X0) <=> (~rich(X0) & humble(X0))) [input p8]
13. ! [X0] : ((~creative(X0) | quiet(X0)) <=> (~tall(X0) <~> rich(X0))) [inp... | 0 |
Everyone who is generous is either not patient or not creative and vice versa. Everyone who is not curious or funny is both not curious and not quiet and vice versa. Everyone who is either not quiet or curious is not generous or not funny and vice versa. Everyone who is creative or not humble is either tall or generous... | Fred is humble. | neutral | (![X]:(generous(X)<=>(~patient(X)<~>~creative(X))))&
(![X]:((~curious(X)|funny(X))<=>(~curious(X)&~quiet(X))))&
(![X]:((~quiet(X)<~>curious(X))<=>(~generous(X)|~funny(X))))&
(![X]:((creative(X)|~humble(X))<=>(tall(X)<~>generous(X))))&
(((~kind(john)&patient(john)))=>(?[X]:((~kind(X)<~>kind(X)))))&
(![X]:((~tall(X)<~>~w... | humble(fred) | [] | null | 0 |
Everyone who is either not strong or not patient is either not generous or not happy and vice versa.
Everyone who is not creative is kind and vice versa.
If paul is either strong or rich then lucy is either not kind or generous.
Everyone who is not creative is both not creative and not rich and vice versa.
Everyone who... | John is not creative. | entailment | (![X]:((~strong(X)<~>~patient(X))<=>(~generous(X)<~>~happy(X))))&
(![X]:(~creative(X)<=>kind(X)))&
(((strong(paul)<~>rich(paul)))=>((~kind(lucy)<~>generous(lucy))))&
(![X]:(~creative(X)<=>(~creative(X)&~rich(X))))&
(![X]:(~creative(X)<=>(~generous(X)|~happy(X))))&
(![X]:((~funny(X)&~patient(X))<=>(kind(X)&brave(X))))&
... | ~creative(john) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5174785876390889855260285
% SZS output start Proof for 5174785876390889855260285
19. ~creative(john) & quiet(john) [input p18]
24. creative(john) [input hypothesis]
119. ~creative(john) [cnf transformation 19]
124. creative(john) [cnf transformation 24]
238. $false [subsumption resolution... | 0 |
Everyone who is not happy or not kind is not funny or not kind.
Everyone who is not creative or creative is both not generous and not tall.
Everyone who is either not creative or funny is not generous and vice versa.
Everyone who is both not patient and not humble is both tall and not humble and vice versa.
If someone ... | Mary is humble. | entailment | (![X]:((~happy(X)|~kind(X))=>(~funny(X)|~kind(X))))&
(![X]:((~creative(X)|creative(X))=>(~generous(X)&~tall(X))))&
(![X]:((~creative(X)<~>funny(X))<=>~generous(X)))&
(![X]:((~patient(X)&~humble(X))<=>(tall(X)&~humble(X))))&
((?[X]:((kind(X)&creative(X))))<=>(?[X]:((tall(X)<~>~calm(X)))))&
(((rich(john)&~brave(john)))<=... | humble(mary) | [
"p1",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4376055261040352324395250
% SZS output start Proof for 4376055261040352324395250
2. ! [X0] : ((creative(X0) | ~creative(X0)) => (~tall(X0) & ~generous(X0))) [input p1]
9. ! [X0] : ((~creative(X0) | strong(X0)) => (tall(X0) | creative(X0))) [input p8]
12. ! [X0] : ((wise(X0) & brave(X0)) <... | 0 |
Everyone who is both funny and tall is either not quiet or not happy. Everyone who is not strong or strong is either not wise or old and vice versa. Everyone who is calm or not calm is not creative or funny and vice versa. If someone is both not generous and not tall then someone is not humble or not calm. Everyone who... | Alice is calm. | contradiction | (![X]:((funny(X)&tall(X))=>(~quiet(X)<~>~happy(X))))&
(![X]:((~strong(X)|strong(X))<=>(~wise(X)<~>old(X))))&
(![X]:((calm(X)|~calm(X))<=>(~creative(X)|funny(X))))&
((?[X]:((~generous(X)&~tall(X))))=>(?[X]:((~humble(X)|~calm(X)))))&
(![X]:((curious(X)|generous(X))<=>(~happy(X)<~>calm(X))))&
((?[X]:((tall(X)&~wise(X))))<... | calm(alice) | [
"p4",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1833723867924941094103989
% SZS output start Proof for 1833723867924941094103989
5. ! [X0] : ((generous(X0) | curious(X0)) <=> (~happy(X0) <~> calm(X0))) [input p4]
16. ! [X0] : (generous(X0) <=> (rich(X0) | calm(X0))) [input p15]
17. ~happy(alice) [input p16]
25. calm(alice) [input hypot... | 0 |
If susan is either creative or not generous then susan is both not quiet and not strong and vice versa.
Everyone who is either not kind or not tall is old and vice versa.
If paul is both not old and not quiet then someone is brave or curious.
Everyone who is both not brave and brave is not tall or not creative and vice... | Paul is not tall. | contradiction | (((creative(susan)<~>~generous(susan)))<=>((~quiet(susan)&~strong(susan))))&
(![X]:((~kind(X)<~>~tall(X))<=>old(X)))&
(((~old(paul)&~quiet(paul)))=>(?[X]:((brave(X)|curious(X)))))&
(![X]:((~brave(X)&brave(X))<=>(~tall(X)|~creative(X))))&
((?[X]:(calm(X)))<=>(~generous(lucy)))&
(![X]:((~generous(X)|~funny(X))<=>tall(X))... | ~tall(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6100800792931644575512524
% SZS output start Proof for 6100800792931644575512524
4. ! [X0] : ((brave(X0) & ~brave(X0)) <=> (~creative(X0) | ~tall(X0))) [input p3]
25. ~tall(paul) [input hypothesis]
40. ! [X0] : (((brave(X0) & ~brave(X0)) | (creative(X0) & tall(X0))) & ((~creative(X0) | ~t... | 0 |
Everyone who is creative or not strong is both funny and generous. Everyone who is not curious is humble and vice versa. Everyone who is not kind or rich is kind or not humble. Everyone who is either not curious or funny is curious or not funny. Everyone who is either brave or creative is rich or not creative. If someo... | Paul is not generous. | neutral | (![X]:((creative(X)|~strong(X))=>(funny(X)&generous(X))))&
(![X]:(~curious(X)<=>humble(X)))&
(![X]:((~kind(X)|rich(X))=>(kind(X)|~humble(X))))&
(![X]:((~curious(X)<~>funny(X))=>(curious(X)|~funny(X))))&
(![X]:((brave(X)<~>creative(X))=>(rich(X)|~creative(X))))&
((?[X]:((kind(X)&strong(X))))<=>((creative(fred)&rich(fred... | ~generous(paul) | [] | null | 0 |
Everyone who is old is both not brave and not funny and vice versa.
If john is creative then lucy is both not tall and funny and vice versa.
Everyone who is calm is patient.
Everyone who is both not brave and rich is old or wise and vice versa.
If fred is both not humble and strong then paul is both generous and funny ... | Paul is not patient. | contradiction | (![X]:(old(X)<=>(~brave(X)&~funny(X))))&
((creative(john))<=>((~tall(lucy)&funny(lucy))))&
(![X]:(calm(X)=>patient(X)))&
(![X]:((~brave(X)&rich(X))<=>(old(X)|wise(X))))&
(((~humble(fred)&strong(fred)))<=>((generous(paul)&funny(paul))))&
((?[X]:((~wise(X)<~>kind(X))))<=>(calm(mary)))&
(![X]:((~calm(X)|old(X))=>(patient(... | ~patient(paul) | [
"p2",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 518878612832744800688773
% SZS output start Proof for 518878612832744800688773
3. ! [X0] : (calm(X0) => patient(X0)) [input p2]
7. ! [X0] : ((old(X0) | ~calm(X0)) => (patient(X0) <~> ~tall(X0))) [input p6]
15. ! [X0] : ((tall(X0) & creative(X0)) <=> (~patient(X0) | strong(X0))) [input p14... | 0 |
If someone is both not patient and kind then lucy is either funny or humble. Everyone who is not tall is either strong or not calm and vice versa. Everyone who is funny is not tall or not calm and vice versa. Everyone who is not funny or funny is tall or generous. Everyone who is both not happy and strong is rich or ki... | Susan is not rich. | neutral | ((?[X]:((~patient(X)&kind(X))))=>((funny(lucy)<~>humble(lucy))))&
(![X]:(~tall(X)<=>(strong(X)<~>~calm(X))))&
(![X]:(funny(X)<=>(~tall(X)|~calm(X))))&
(![X]:((~funny(X)|funny(X))=>(tall(X)|generous(X))))&
(![X]:((~happy(X)&strong(X))<=>(rich(X)|kind(X))))&
(![X]:((~old(X)|~rich(X))<=>(~funny(X)&~happy(X))))&
(![X]:((wi... | ~rich(susan) | [] | null | 0 |
Everyone who is both quiet and wise is either not curious or not old.
If someone is not happy then someone is not patient or not generous and vice versa.
Everyone who is both not calm and strong is not patient and vice versa.
If mary is patient or not humble then mary is both not generous and calm.
Everyone who is gene... | John is not patient. | contradiction | (![X]:((quiet(X)&wise(X))=>(~curious(X)<~>~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~patient(X)|~generous(X)))))&
(![X]:((~calm(X)&strong(X))<=>~patient(X)))&
(((patient(mary)|~humble(mary)))=>((~generous(mary)&calm(mary))))&
(![X]:(generous(X)=>(calm(X)&~wise(X))))&
(((~quiet(john)<~>wise(john)))<=>(~happy(paul)))&
((... | ~patient(john) | [
"p2",
"p4",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 121695772948634619991600
% SZS output start Proof for 121695772948634619991600
3. ! [X0] : ((strong(X0) & ~calm(X0)) <=> ~patient(X0)) [input p2]
5. ! [X0] : (generous(X0) => (~wise(X0) & calm(X0))) [input p4]
8. ? [X0] : (~wise(X0) | ~calm(X0)) => generous(fred) [input p7]
14. ! [X0] : (... | 0 |
Everyone who is either curious or creative is either not rich or not patient and vice versa.
If someone is not curious or not rich then someone is tall.
Everyone who is wise or happy is not strong or strong.
If someone is both calm and curious then someone is wise and vice versa.
If mary is either brave or creative the... | Mary is creative. | contradiction | (![X]:((curious(X)<~>creative(X))<=>(~rich(X)<~>~patient(X))))&
((?[X]:((~curious(X)|~rich(X))))=>(?[X]:(tall(X))))&
(![X]:((wise(X)|happy(X))=>(~strong(X)|strong(X))))&
((?[X]:((calm(X)&curious(X))))<=>(?[X]:(wise(X))))&
(((brave(mary)<~>creative(mary)))<=>((~wise(susan)&~funny(susan))))&
(((~calm(lucy)&~humble(lucy))... | creative(mary) | [
"p4",
"p6",
"p7",
"p9",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7876957155796606318165715
% SZS output start Proof for 7876957155796606318165715
5. (brave(mary) <~> creative(mary)) <=> (~funny(susan) & ~wise(susan)) [input p4]
7. ! [X0] : ((brave(X0) <~> ~old(X0)) <=> quiet(X0)) [input p6]
8. (rich(john) & happy(john)) <=> ? [X0] : (funny(X0) | ~humbl... | 0 |
If lucy is both not patient and not funny then someone is wise and vice versa.
If susan is either not happy or not wise then susan is brave or not rich and vice versa.
Everyone who is brave or old is both not tall and rich.
If alice is not brave or not rich then mary is quiet.
Everyone who is both patient and not tall ... | Fred is strong. | neutral | (((~patient(lucy)&~funny(lucy)))<=>(?[X]:(wise(X))))&
(((~happy(susan)<~>~wise(susan)))<=>((brave(susan)|~rich(susan))))&
(![X]:((brave(X)|old(X))=>(~tall(X)&rich(X))))&
(((~brave(alice)|~rich(alice)))=>(quiet(mary)))&
(![X]:((patient(X)&~tall(X))<=>(~brave(X)|rich(X))))&
(![X]:(quiet(X)<=>(~old(X)|~happy(X))))&
(((hum... | strong(fred) | [] | null | 0 |
Everyone who is not creative is wise or quiet. Everyone who is both not wise and not calm is either not patient or patient and vice versa. Everyone who is happy or not old is both not patient and kind. If john is brave or not tall then mary is wise. If someone is not old then someone is patient. Everyone who is either ... | Fred is calm. | contradiction | (![X]:(~creative(X)=>(wise(X)|quiet(X))))&
(![X]:((~wise(X)&~calm(X))<=>(~patient(X)<~>patient(X))))&
(![X]:((happy(X)|~old(X))=>(~patient(X)&kind(X))))&
(((brave(john)|~tall(john)))=>(wise(mary)))&
((?[X]:(~old(X)))=>(?[X]:(patient(X))))&
(![X]:((funny(X)<~>~brave(X))<=>(creative(X)&~funny(X))))&
(![X]:((generous(X)<~... | calm(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3241532004566210640572788
% SZS output start Proof for 3241532004566210640572788
2. ! [X0] : ((~calm(X0) & ~wise(X0)) <=> (~patient(X0) <~> patient(X0))) [input p1]
23. calm(fred) [input hypothesis]
35. ! [X0] : (((~calm(X0) & ~wise(X0)) | ((~patient(X0) | ~patient(X0)) & (patient(X0) | p... | 0 |
If someone is curious or not wise then paul is wise.
Everyone who is generous or humble is either quiet or not tall.
Everyone who is strong is not patient and vice versa.
Everyone who is both not wise and funny is either not generous or not patient and vice versa.
Everyone who is humble is both rich and not old and vic... | Mary is not humble. | entailment | ((?[X]:((curious(X)|~wise(X))))=>(wise(paul)))&
(![X]:((generous(X)|humble(X))=>(quiet(X)<~>~tall(X))))&
(![X]:(strong(X)<=>~patient(X)))&
(![X]:((~wise(X)&funny(X))<=>(~generous(X)<~>~patient(X))))&
(![X]:(humble(X)<=>(rich(X)&~old(X))))&
(![X]:((~generous(X)&~creative(X))<=>(~tall(X)<~>quiet(X))))&
(![X]:(happy(X)=>~... | ~humble(mary) | [
"p1",
"p5",
"p7",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1478460477402593867110063
% SZS output start Proof for 1478460477402593867110063
2. ! [X0] : ((humble(X0) | generous(X0)) => (quiet(X0) <~> ~tall(X0))) [input p1]
6. ! [X0] : ((~creative(X0) & ~generous(X0)) <=> (~tall(X0) <~> quiet(X0))) [input p5]
8. ! [X0] : ((~creative(X0) | curious(X... | 0 |
If someone is curious then someone is humble or not strong.
If someone is both patient and not creative then someone is not old and vice versa.
Everyone who is both not humble and not quiet is not funny or not brave and vice versa.
Everyone who is both not wise and not humble is wise.
Everyone who is happy or not old i... | John is not patient. | entailment | ((?[X]:(curious(X)))=>(?[X]:((humble(X)|~strong(X)))))&
((?[X]:((patient(X)&~creative(X))))<=>(?[X]:(~old(X))))&
(![X]:((~humble(X)&~quiet(X))<=>(~funny(X)|~brave(X))))&
(![X]:((~wise(X)&~humble(X))=>wise(X)))&
(![X]:((happy(X)|~old(X))<=>(~happy(X)&~funny(X))))&
((?[X]:((rich(X)&~patient(X))))<=>(~tall(paul)))&
(![X]:... | ~patient(john) | [
"p4",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5107573927921882116697335
% SZS output start Proof for 5107573927921882116697335
5. ! [X0] : ((~old(X0) | happy(X0)) <=> (~funny(X0) & ~happy(X0))) [input p4]
10. ! [X0] : ((~brave(X0) <~> ~old(X0)) <=> (~old(X0) & ~funny(X0))) [input p9]
11. ! [X0] : ((~brave(X0) | ~creative(X0)) <=> (~c... | 0 |
If someone is not brave or curious then someone is either not funny or rich.
If someone is funny or not patient then john is not calm or old.
If someone is tall then paul is not happy.
If mary is either old or kind then someone is quiet or not calm and vice versa.
Everyone who is wise or not tall is not strong and vice... | Susan is not strong. | entailment | ((?[X]:((~brave(X)|curious(X))))=>(?[X]:((~funny(X)<~>rich(X)))))&
((?[X]:((funny(X)|~patient(X))))=>((~calm(john)|old(john))))&
((?[X]:(tall(X)))=>(~happy(paul)))&
(((old(mary)<~>kind(mary)))<=>(?[X]:((quiet(X)|~calm(X)))))&
(![X]:((wise(X)|~tall(X))<=>~strong(X)))&
(![X]:((kind(X)&generous(X))<=>(~calm(X)&~tall(X))))... | ~strong(susan) | [
"p4",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3392867246401314277323953
% SZS output start Proof for 3392867246401314277323953
5. ! [X0] : ((~tall(X0) | wise(X0)) <=> ~strong(X0)) [input p4]
9. ! [X0] : ((strong(X0) | ~tall(X0)) <=> (humble(X0) & tall(X0))) [input p8]
10. ! [X0] : ((~tall(X0) & creative(X0)) <=> (funny(X0) | ~wise(X0... | 0 |
Everyone who is funny or not kind is both not wise and brave.
Everyone who is not curious or not quiet is either not patient or humble.
If paul is not wise or generous then fred is either not strong or not tall.
Everyone who is both brave and generous is either rich or kind and vice versa.
If fred is both not calm and ... | Fred is not tall. | entailment | (![X]:((funny(X)|~kind(X))=>(~wise(X)&brave(X))))&
(![X]:((~curious(X)|~quiet(X))=>(~patient(X)<~>humble(X))))&
(((~wise(paul)|generous(paul)))=>((~strong(fred)<~>~tall(fred))))&
(![X]:((brave(X)&generous(X))<=>(rich(X)<~>kind(X))))&
(((~calm(fred)&~rich(fred)))<=>(?[X]:((~strong(X)|quiet(X)))))&
(![X]:((~calm(X)|~crea... | ~tall(fred) | [
"p5",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 762365763748311293553649
% SZS output start Proof for 762365763748311293553649
6. ! [X0] : ((~creative(X0) | ~calm(X0)) => ~tall(X0)) [input p5]
8. ! [X0] : ((creative(X0) | ~brave(X0)) => (humble(X0) <~> ~creative(X0))) [input p7]
13. ! [X0] : (tall(X0) <=> curious(X0)) [input p12]
14. !... | 0 |
Everyone who is both creative and not kind is both strong and not humble and vice versa. If paul is either not quiet or wise then susan is not funny or not calm. Everyone who is both not funny and brave is not quiet or happy. If john is not brave or not tall then john is either kind or not curious. Everyone who is eith... | Paul is not old. | contradiction | (![X]:((creative(X)&~kind(X))<=>(strong(X)&~humble(X))))&
(((~quiet(paul)<~>wise(paul)))=>((~funny(susan)|~calm(susan))))&
(![X]:((~funny(X)&brave(X))=>(~quiet(X)|happy(X))))&
(((~brave(john)|~tall(john)))=>((kind(john)<~>~curious(john))))&
(![X]:((strong(X)<~>generous(X))=>(old(X)|~kind(X))))&
(![X]:((brave(X)|strong(... | ~old(paul) | [
"p5",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6969603679308274176440021
% SZS output start Proof for 6969603679308274176440021
6. ! [X0] : ((strong(X0) | brave(X0)) => ~brave(X0)) [input p5]
13. ! [X0] : (~old(X0) <=> (~tall(X0) & ~generous(X0))) [input p12]
15. ? [X0] : ~brave(X0) <=> (brave(paul) <~> tall(paul)) [input p14]
25. ~ol... | 0 |
Everyone who is both brave and not tall is not brave or strong and vice versa.
If someone is curious or generous then someone is kind.
If someone is both wise and not kind then fred is old.
If someone is not old or not rich then someone is not patient or not curious.
Everyone who is both rich and happy is either humble... | Mary is quiet. | neutral | (![X]:((brave(X)&~tall(X))<=>(~brave(X)|strong(X))))&
((?[X]:((curious(X)|generous(X))))=>(?[X]:(kind(X))))&
((?[X]:((wise(X)&~kind(X))))=>(old(fred)))&
((?[X]:((~old(X)|~rich(X))))=>(?[X]:((~patient(X)|~curious(X)))))&
(![X]:((rich(X)&happy(X))=>(humble(X)<~>patient(X))))&
(![X]:((rich(X)&~patient(X))=>(~funny(X)<~>~h... | quiet(mary) | [] | null | 0 |
Everyone who is both happy and quiet is both calm and happy and vice versa.
Everyone who is brave or quiet is both patient and strong and vice versa.
If someone is not brave or funny then someone is humble or not generous and vice versa.
Everyone who is both humble and not calm is either old or not strong.
If john is b... | Alice is happy. | neutral | (![X]:((happy(X)&quiet(X))<=>(calm(X)&happy(X))))&
(![X]:((brave(X)|quiet(X))<=>(patient(X)&strong(X))))&
((?[X]:((~brave(X)|funny(X))))<=>(?[X]:((humble(X)|~generous(X)))))&
(![X]:((humble(X)&~calm(X))=>(old(X)<~>~strong(X))))&
(((~humble(john)&~quiet(john)))<=>((~curious(lucy)<~>~wise(lucy))))&
(![X]:((~humble(X)&~st... | happy(alice) | [] | null | 0 |
If john is either not calm or old then someone is not patient. Everyone who is not wise is both kind and not funny and vice versa. Everyone who is both creative and kind is both not kind and not wise. Everyone who is both funny and not tall is either not kind or not strong and vice versa. Everyone who is either happy o... | Mary is not strong. | contradiction | (((~calm(john)<~>old(john)))=>(?[X]:(~patient(X))))&
(![X]:(~wise(X)<=>(kind(X)&~funny(X))))&
(![X]:((creative(X)&kind(X))=>(~kind(X)&~wise(X))))&
(![X]:((funny(X)&~tall(X))<=>(~kind(X)<~>~strong(X))))&
(![X]:((happy(X)<~>kind(X))=>(~strong(X)|~wise(X))))&
(![X]:((old(X)<~>funny(X))=>(~kind(X)&strong(X))))&
(![X]:((~ol... | ~strong(mary) | [
"p1",
"p3",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5451547948791254958460183
% SZS output start Proof for 5451547948791254958460183
2. ! [X0] : (~wise(X0) <=> (~funny(X0) & kind(X0))) [input p1]
4. ! [X0] : ((~tall(X0) & funny(X0)) <=> (~kind(X0) <~> ~strong(X0))) [input p3]
22. ~quiet(mary) & ~wise(mary) [input p21]
24. ~strong(mary) [in... | 0 |
Everyone who is both not tall and not curious is both not calm and kind and vice versa.
If mary is generous or not generous then someone is kind or old and vice versa.
Everyone who is not calm or not kind is either not patient or happy and vice versa.
Everyone who is either not curious or wise is both not old and quiet... | Paul is creative. | contradiction | (![X]:((~tall(X)&~curious(X))<=>(~calm(X)&kind(X))))&
(((generous(mary)|~generous(mary)))<=>(?[X]:((kind(X)|old(X)))))&
(![X]:((~calm(X)|~kind(X))<=>(~patient(X)<~>happy(X))))&
(![X]:((~curious(X)<~>wise(X))<=>(~old(X)&quiet(X))))&
((~tall(alice))<=>(?[X]:((old(X)&~strong(X)))))&
(![X]:((~patient(X)&generous(X))<=>(old... | creative(paul) | [
"p6",
"p10",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2546494142294931353963525
% SZS output start Proof for 2546494142294931353963525
7. ? [X0] : (quiet(X0) | ~brave(X0)) => ? [X0] : (tall(X0) & curious(X0)) [input p6]
11. ? [X0] : (~happy(X0) & tall(X0)) <=> ~creative(paul) [input p10]
14. ? [X0] : funny(X0) => ? [X0] : (~creative(X0) & cu... | 0 |
If someone is funny or not rich then paul is not creative. If someone is rich then someone is not strong. Everyone who is not brave is either not kind or calm and vice versa. Everyone who is either not tall or not creative is happy and vice versa. Everyone who is happy or not rich is both not patient and not curious. E... | Susan is not curious. | entailment | ((?[X]:((funny(X)|~rich(X))))=>(~creative(paul)))&
((?[X]:(rich(X)))=>(?[X]:(~strong(X))))&
(![X]:(~brave(X)<=>(~kind(X)<~>calm(X))))&
(![X]:((~tall(X)<~>~creative(X))<=>happy(X)))&
(![X]:((happy(X)|~rich(X))=>(~patient(X)&~curious(X))))&
(![X]:((~creative(X)|~calm(X))=>(~patient(X)<~>funny(X))))&
(![X]:(~strong(X)<=>(... | ~curious(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5393796261042270453357966
% SZS output start Proof for 5393796261042270453357966
14. ! [X0] : ((old(X0) | curious(X0)) => ~curious(X0)) [input p13]
25. curious(susan) [input hypothesis]
38. ! [X0] : (~curious(X0) | (~old(X0) & ~curious(X0))) [ennf transformation 14]
119. ~curious(X0) | ~c... | 0 |
If someone is not old or calm then alice is either not brave or not rich and vice versa.
Everyone who is not brave is either patient or brave.
If susan is calm then someone is calm or not calm.
Everyone who is both not generous and not humble is humble.
Everyone who is rich or not creative is both not creative and calm... | Susan is not happy. | neutral | ((?[X]:((~old(X)|calm(X))))<=>((~brave(alice)<~>~rich(alice))))&
(![X]:(~brave(X)=>(patient(X)<~>brave(X))))&
((calm(susan))=>(?[X]:((calm(X)|~calm(X)))))&
(![X]:((~generous(X)&~humble(X))=>humble(X)))&
(![X]:((rich(X)|~creative(X))=>(~creative(X)&calm(X))))&
(![X]:((humble(X)|~tall(X))=>(creative(X)&~strong(X))))&
(![... | ~happy(susan) | [] | null | 0 |
Everyone who is both kind and not brave is both not old and rich.
Everyone who is not happy is wise or curious.
Everyone who is quiet or not curious is not wise or not generous and vice versa.
If susan is both not happy and not tall then someone is both old and not generous and vice versa.
Everyone who is either not ta... | Fred is creative. | entailment | (![X]:((kind(X)&~brave(X))=>(~old(X)&rich(X))))&
(![X]:(~happy(X)=>(wise(X)|curious(X))))&
(![X]:((quiet(X)|~curious(X))<=>(~wise(X)|~generous(X))))&
(((~happy(susan)&~tall(susan)))<=>(?[X]:((old(X)&~generous(X)))))&
(![X]:((~tall(X)<~>patient(X))=>~generous(X)))&
(![X]:((~patient(X)<~>wise(X))<=>(~funny(X)&~rich(X))))... | creative(fred) | [
"p2",
"p5",
"p7",
"p8",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1098456256416233379789004
% SZS output start Proof for 1098456256416233379789004
3. ! [X0] : ((~curious(X0) | quiet(X0)) <=> (~generous(X0) | ~wise(X0))) [input p2]
6. ! [X0] : ((~patient(X0) <~> wise(X0)) <=> (~rich(X0) & ~funny(X0))) [input p5]
8. ! [X0] : (~generous(X0) <=> (kind(X0) &... | 0 |
Everyone who is not humble or brave is patient or kind.
Everyone who is funny is quiet and vice versa.
Everyone who is both patient and generous is humble or funny.
If someone is both not generous and not calm then mary is both kind and happy and vice versa.
Everyone who is patient or funny is both generous and curious... | Fred is quiet. | contradiction | (![X]:((~humble(X)|brave(X))=>(patient(X)|kind(X))))&
(![X]:(funny(X)<=>quiet(X)))&
(![X]:((patient(X)&generous(X))=>(humble(X)|funny(X))))&
((?[X]:((~generous(X)&~calm(X))))<=>((kind(mary)&happy(mary))))&
(![X]:((patient(X)|funny(X))<=>(generous(X)&curious(X))))&
(![X]:((calm(X)|generous(X))=>(~brave(X)&generous(X))))... | quiet(fred) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5227672179096300575565248
% SZS output start Proof for 5227672179096300575565248
1. ! [X0] : ((brave(X0) | ~humble(X0)) => (kind(X0) | patient(X0))) [input p0]
2. ! [X0] : (funny(X0) <=> quiet(X0)) [input p1]
5. ! [X0] : ((funny(X0) | patient(X0)) <=> (curious(X0) & generous(X0))) [input ... | 0 |
Everyone who is not tall or not strong is not wise or quiet and vice versa.
If paul is both patient and not funny then susan is either not patient or not happy.
Everyone who is kind or not quiet is either calm or not kind and vice versa.
If paul is both not old and not humble then fred is rich.
Everyone who is not tall... | Lucy is wise. | entailment | (![X]:((~tall(X)|~strong(X))<=>(~wise(X)|quiet(X))))&
(((patient(paul)&~funny(paul)))=>((~patient(susan)<~>~happy(susan))))&
(![X]:((kind(X)|~quiet(X))<=>(calm(X)<~>~kind(X))))&
(((~old(paul)&~humble(paul)))=>(rich(fred)))&
(![X]:((~tall(X)|wise(X))=>~quiet(X)))&
(![X]:((humble(X)<~>creative(X))=>happy(X)))&
(((~funny(... | wise(lucy) | [
"p0",
"p5",
"p7",
"p9",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1088926662182512967873668
% SZS output start Proof for 1088926662182512967873668
1. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (quiet(X0) | ~wise(X0))) [input p0]
6. ! [X0] : ((humble(X0) <~> creative(X0)) => happy(X0)) [input p5]
8. ! [X0] : ((~humble(X0) & tall(X0)) <=> (~strong(X0) | ~wis... | 0 |
Everyone who is old or not generous is wise. Everyone who is both patient and not creative is generous or funny. If susan is either not happy or not old then someone is not funny and vice versa. Everyone who is kind is not generous or happy and vice versa. Everyone who is both not quiet and not calm is either not brave... | John is generous. | contradiction | (![X]:((old(X)|~generous(X))=>wise(X)))&
(![X]:((patient(X)&~creative(X))=>(generous(X)|funny(X))))&
(((~happy(susan)<~>~old(susan)))<=>(?[X]:(~funny(X))))&
(![X]:(kind(X)<=>(~generous(X)|happy(X))))&
(![X]:((~quiet(X)&~calm(X))=>(~brave(X)<~>strong(X))))&
(![X]:((~creative(X)&brave(X))<=>(patient(X)&~generous(X))))&
(... | generous(john) | [
"p5",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8642097097503935069682975
% SZS output start Proof for 8642097097503935069682975
6. ! [X0] : ((brave(X0) & ~creative(X0)) <=> (~generous(X0) & patient(X0))) [input p5]
7. patient(alice) <=> ~brave(lucy) [input p6]
8. ! [X0] : ((~old(X0) | ~brave(X0)) <=> (~funny(X0) & brave(X0))) [input p... | 0 |
Everyone who is rich is both tall and creative.
Everyone who is brave or not old is creative.
If someone is creative or rich then mary is either old or quiet and vice versa.
If someone is quiet or funny then someone is generous or tall and vice versa.
If someone is both not kind and not brave then someone is both patie... | Lucy is not brave. | entailment | (![X]:(rich(X)=>(tall(X)&creative(X))))&
(![X]:((brave(X)|~old(X))=>creative(X)))&
((?[X]:((creative(X)|rich(X))))<=>((old(mary)<~>quiet(mary))))&
((?[X]:((quiet(X)|funny(X))))<=>(?[X]:((generous(X)|tall(X)))))&
((?[X]:((~kind(X)&~brave(X))))<=>(?[X]:((patient(X)&brave(X)))))&
(((~brave(fred)|~wise(fred)))=>((brave(fre... | ~brave(lucy) | [
"p1",
"p9",
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7697839681753165856540001
% SZS output start Proof for 7697839681753165856540001
2. ! [X0] : ((~old(X0) | brave(X0)) => creative(X0)) [input p1]
10. ! [X0] : ((tall(X0) <~> ~strong(X0)) => ~creative(X0)) [input p9]
16. ! [X0] : ((~happy(X0) <~> ~quiet(X0)) <=> (kind(X0) | strong(X0))) [in... | 0 |
Everyone who is either not happy or not old is not quiet or tall. Everyone who is either calm or old is not brave or not rich and vice versa. If susan is either not generous or old then fred is generous and vice versa. If someone is either not old or brave then someone is either not wise or not humble. Everyone who is ... | Paul is creative. | contradiction | (![X]:((~happy(X)<~>~old(X))=>(~quiet(X)|tall(X))))&
(![X]:((calm(X)<~>old(X))<=>(~brave(X)|~rich(X))))&
(((~generous(susan)<~>old(susan)))<=>(generous(fred)))&
((?[X]:((~old(X)<~>brave(X))))=>(?[X]:((~wise(X)<~>~humble(X)))))&
(![X]:((~rich(X)<~>creative(X))<=>(creative(X)<~>tall(X))))&
(![X]:((creative(X)&~rich(X))<=... | creative(paul) | [
"p4",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5087530739151471610346016
% SZS output start Proof for 5087530739151471610346016
5. ! [X0] : ((~rich(X0) <~> creative(X0)) <=> (creative(X0) <~> tall(X0))) [input p4]
9. ! [X0] : (~rich(X0) => (~creative(X0) <~> rich(X0))) [input p8]
11. ! [X0] : ((~generous(X0) & generous(X0)) <=> ~quiet... | 0 |
If someone is strong then someone is either not kind or generous. If lucy is both strong and not calm then susan is both not funny and not generous and vice versa. Everyone who is both humble and not brave is either not kind or kind. Everyone who is either happy or not funny is either quiet or tall. Everyone who is bot... | Lucy is not generous. | contradiction | ((?[X]:(strong(X)))=>(?[X]:((~kind(X)<~>generous(X)))))&
(((strong(lucy)&~calm(lucy)))<=>((~funny(susan)&~generous(susan))))&
(![X]:((humble(X)&~brave(X))=>(~kind(X)<~>kind(X))))&
(![X]:((happy(X)<~>~funny(X))=>(quiet(X)<~>tall(X))))&
(![X]:((funny(X)&~kind(X))<=>(~generous(X)<~>~patient(X))))&
((~curious(alice))=>((~t... | ~generous(lucy) | [
"p4",
"p6",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6194737134340957772163832
% SZS output start Proof for 6194737134340957772163832
5. ! [X0] : ((~kind(X0) & funny(X0)) <=> (~generous(X0) <~> ~patient(X0))) [input p4]
7. ! [X0] : ((~curious(X0) <~> curious(X0)) => (~funny(X0) & ~kind(X0))) [input p6]
15. ! [X0] : ((kind(X0) <~> ~patient(X... | 0 |
If john is both not happy and not humble then someone is either not happy or not patient.
If paul is happy then someone is both rich and not calm and vice versa.
If someone is old then paul is both not humble and not brave and vice versa.
Everyone who is either tall or not quiet is both not humble and wise and vice ver... | Lucy is creative. | contradiction | (((~happy(john)&~humble(john)))=>(?[X]:((~happy(X)<~>~patient(X)))))&
((happy(paul))<=>(?[X]:((rich(X)&~calm(X)))))&
((?[X]:(old(X)))<=>((~humble(paul)&~brave(paul))))&
(![X]:((tall(X)<~>~quiet(X))<=>(~humble(X)&wise(X))))&
((?[X]:((humble(X)<~>creative(X))))=>(?[X]:((~strong(X)<~>calm(X)))))&
(![X]:((~quiet(X)&~tall(X... | creative(lucy) | [
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5757970935072760806685629
% SZS output start Proof for 5757970935072760806685629
8. ! [X0] : ((~creative(X0) <~> creative(X0)) => (curious(X0) <~> creative(X0))) [input p7]
23. curious(lucy) [input p22]
24. creative(lucy) [input hypothesis]
32. ! [X0] : ((curious(X0) <~> creative(X0)) | (... | 0 |
Everyone who is either patient or strong is both not tall and humble and vice versa.
If someone is funny or not wise then alice is both not humble and not old.
If someone is both curious and not rich then john is not humble or not curious and vice versa.
Everyone who is both quiet and curious is both not kind and patie... | Alice is humble. | neutral | (![X]:((patient(X)<~>strong(X))<=>(~tall(X)&humble(X))))&
((?[X]:((funny(X)|~wise(X))))=>((~humble(alice)&~old(alice))))&
((?[X]:((curious(X)&~rich(X))))<=>((~humble(john)|~curious(john))))&
(![X]:((quiet(X)&curious(X))<=>(~kind(X)&patient(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))<=>(tall(susan)))&
(![X]:(patient(X)<... | humble(alice) | [] | null | 0 |
Everyone who is old or wise is kind or brave. If someone is either not rich or funny then fred is either creative or humble. Everyone who is quiet is either not rich or not kind. Everyone who is not funny is both patient and not humble and vice versa. Everyone who is both not old and kind is both not rich and not humbl... | Paul is not curious. | contradiction | (![X]:((old(X)|wise(X))=>(kind(X)|brave(X))))&
((?[X]:((~rich(X)<~>funny(X))))=>((creative(fred)<~>humble(fred))))&
(![X]:(quiet(X)=>(~rich(X)<~>~kind(X))))&
(![X]:(~funny(X)<=>(patient(X)&~humble(X))))&
(![X]:((~old(X)&kind(X))=>(~rich(X)&~humble(X))))&
(![X]:((~rich(X)&~quiet(X))<=>(~humble(X)&curious(X))))&
(![X]:((... | ~curious(paul) | [
"p2",
"p4",
"p5",
"p6",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 34458880390207983512646
% SZS output start Proof for 34458880390207983512646
3. ! [X0] : (quiet(X0) => (~rich(X0) <~> ~kind(X0))) [input p2]
5. ! [X0] : ((kind(X0) & ~old(X0)) => (~humble(X0) & ~rich(X0))) [input p4]
6. ! [X0] : ((~quiet(X0) & ~rich(X0)) <=> (curious(X0) & ~humble(X0))) [... | 0 |
Everyone who is not old or old is not happy or happy and vice versa.
If someone is both tall and wise then paul is not happy or humble and vice versa.
Everyone who is either not wise or strong is not creative.
Everyone who is not tall is either wise or not humble and vice versa.
If fred is humble or strong then someone... | Lucy is happy. | neutral | (![X]:((~old(X)|old(X))<=>(~happy(X)|happy(X))))&
((?[X]:((tall(X)&wise(X))))<=>((~happy(paul)|humble(paul))))&
(![X]:((~wise(X)<~>strong(X))=>~creative(X)))&
(![X]:(~tall(X)<=>(wise(X)<~>~humble(X))))&
(((humble(fred)|strong(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:(~old(X)<=>(happy(X)|~brave(X))))&
(![X]:(rich(X)<=>(~pat... | happy(lucy) | [] | null | 0 |
If someone is both rich and not tall then someone is curious and vice versa. If john is not curious or happy then alice is either kind or patient and vice versa. Everyone who is kind or patient is both wise and not strong. Everyone who is either rich or not funny is tall. If mary is either rich or creative then fred is... | Paul is not creative. | entailment | ((?[X]:((rich(X)&~tall(X))))<=>(?[X]:(curious(X))))&
(((~curious(john)|happy(john)))<=>((kind(alice)<~>patient(alice))))&
(![X]:((kind(X)|patient(X))=>(wise(X)&~strong(X))))&
(![X]:((rich(X)<~>~funny(X))=>tall(X)))&
(((rich(mary)<~>creative(mary)))=>((~strong(fred)<~>~creative(fred))))&
(![X]:((patient(X)|~creative(X))... | ~creative(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2052369203788437123519725
% SZS output start Proof for 2052369203788437123519725
7. ! [X0] : (creative(X0) <=> (wise(X0) & ~creative(X0))) [input p6]
22. creative(paul) [input hypothesis]
44. ! [X0] : ((creative(X0) | (~wise(X0) | creative(X0))) & ((wise(X0) & ~creative(X0)) | ~creative(X... | 0 |
Everyone who is not creative or not brave is both creative and old.
Everyone who is calm or not creative is not generous and vice versa.
Everyone who is either calm or happy is both not curious and old and vice versa.
Everyone who is either not strong or creative is either creative or tall and vice versa.
If someone is... | Susan is quiet. | neutral | (![X]:((~creative(X)|~brave(X))=>(creative(X)&old(X))))&
(![X]:((calm(X)|~creative(X))<=>~generous(X)))&
(![X]:((calm(X)<~>happy(X))<=>(~curious(X)&old(X))))&
(![X]:((~strong(X)<~>creative(X))<=>(creative(X)<~>tall(X))))&
((?[X]:((~funny(X)<~>~old(X))))=>(wise(john)))&
(![X]:((~wise(X)|calm(X))<=>(brave(X)<~>funny(X)))... | quiet(susan) | [] | null | 0 |
If someone is not strong then mary is not happy or not humble and vice versa.
If susan is rich or happy then alice is patient and vice versa.
If alice is not funny then paul is either old or patient and vice versa.
Everyone who is rich or not funny is both not old and not creative.
If john is either calm or strong then... | Paul is not brave. | contradiction | ((?[X]:(~strong(X)))<=>((~happy(mary)|~humble(mary))))&
(((rich(susan)|happy(susan)))<=>(patient(alice)))&
((~funny(alice))<=>((old(paul)<~>patient(paul))))&
(![X]:((rich(X)|~funny(X))=>(~old(X)&~creative(X))))&
(((calm(john)<~>strong(john)))<=>(?[X]:((rich(X)&~funny(X)))))&
((?[X]:((funny(X)&brave(X))))=>((~generous(s... | ~brave(paul) | [
"p3",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2732437540952713351515104
% SZS output start Proof for 2732437540952713351515104
4. ! [X0] : ((~funny(X0) | rich(X0)) => (~creative(X0) & ~old(X0))) [input p3]
8. ! [X0] : ((old(X0) | ~rich(X0)) <=> (brave(X0) & ~humble(X0))) [input p7]
14. ! [X0] : ((~old(X0) | ~happy(X0)) <=> (generous(... | 0 |
If someone is either not rich or not generous then john is not happy and vice versa. Everyone who is both generous and brave is both funny and not creative and vice versa. If paul is wise then john is not kind or not creative and vice versa. If someone is both patient and not humble then mary is both wise and not brave... | John is calm. | neutral | ((?[X]:((~rich(X)<~>~generous(X))))<=>(~happy(john)))&
(![X]:((generous(X)&brave(X))<=>(funny(X)&~creative(X))))&
((wise(paul))<=>((~kind(john)|~creative(john))))&
((?[X]:((patient(X)&~humble(X))))<=>((wise(mary)&~brave(mary))))&
(![X]:((~patient(X)<~>old(X))=>~humble(X)))&
(![X]:((patient(X)<~>tall(X))<=>(patient(X)|s... | calm(john) | [] | null | 0 |
Everyone who is rich or humble is not creative or creative and vice versa.
If someone is either not happy or calm then john is both not generous and not humble and vice versa.
Everyone who is not creative is not kind or strong.
If alice is quiet then someone is not patient and vice versa.
If lucy is either not tall or ... | Alice is old. | entailment | (![X]:((rich(X)|humble(X))<=>(~creative(X)|creative(X))))&
((?[X]:((~happy(X)<~>calm(X))))<=>((~generous(john)&~humble(john))))&
(![X]:(~creative(X)=>(~kind(X)|strong(X))))&
((quiet(alice))<=>(?[X]:(~patient(X))))&
(((~tall(lucy)<~>brave(lucy)))=>(?[X]:(strong(X))))&
(![X]:(~kind(X)=>(kind(X)|calm(X))))&
(![X]:(~wise(X... | old(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 654798747243994347749779
% SZS output start Proof for 654798747243994347749779
8. ! [X0] : ((old(X0) <~> humble(X0)) <=> ~humble(X0)) [input p7]
24. ~old(alice) [input hypothesis]
53. ! [X0] : ((((~humble(X0) | ~old(X0)) & (humble(X0) | old(X0))) | humble(X0)) & (~humble(X0) | ((old(X0) |... | 0 |
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