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 fred is both rich and tall then someone is not old or kind and vice versa. If lucy is both not rich and not brave then mary is either not patient or curious. Everyone who is both funny and brave is both wise and not creative and vice versa. Everyone who is either not curious or not old is not happy and vice versa. E... | Lucy is not kind. | neutral | (((rich(fred)&tall(fred)))<=>(?[X]:((~old(X)|kind(X)))))&
(((~rich(lucy)&~brave(lucy)))=>((~patient(mary)<~>curious(mary))))&
(![X]:((funny(X)&brave(X))<=>(wise(X)&~creative(X))))&
(![X]:((~curious(X)<~>~old(X))<=>~happy(X)))&
(![X]:(patient(X)<=>(happy(X)&~patient(X))))&
(((calm(lucy)|~happy(lucy)))=>((~brave(paul)<~>... | ~kind(lucy) | [] | null | 0 |
If someone is both not creative and not happy then alice is both kind and humble.
If mary is not kind then lucy is both not patient and not tall and vice versa.
Everyone who is not strong is not curious and vice versa.
Everyone who is not happy or not brave is both patient and not strong and vice versa.
If someone is e... | John is funny. | entailment | ((?[X]:((~creative(X)&~happy(X))))=>((kind(alice)&humble(alice))))&
((~kind(mary))<=>((~patient(lucy)&~tall(lucy))))&
(![X]:(~strong(X)<=>~curious(X)))&
(![X]:((~happy(X)|~brave(X))<=>(patient(X)&~strong(X))))&
((?[X]:((funny(X)<~>wise(X))))=>((~tall(lucy)|quiet(lucy))))&
(![X]:(~happy(X)=>(~calm(X)&calm(X))))&
(((~old... | funny(john) | [
"p2",
"p6",
"p7",
"p8",
"p11",
"p12",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7922800093036724098862842
% SZS output start Proof for 7922800093036724098862842
3. ! [X0] : (~strong(X0) <=> ~curious(X0)) [input p2]
7. (calm(john) | ~old(john)) => (curious(john) & quiet(john)) [input p6]
8. ! [X0] : ((~calm(X0) <~> ~funny(X0)) <=> (~patient(X0) | ~kind(X0))) [input p7... | 0 |
Everyone who is funny is either not humble or tall. If someone is both not quiet and not humble then someone is calm or tall. If lucy is not humble then paul is not curious or not strong and vice versa. If paul is calm then susan is curious. Everyone who is either not happy or not old is both patient and not quiet. If ... | John is not quiet. | entailment | (![X]:(funny(X)=>(~humble(X)<~>tall(X))))&
((?[X]:((~quiet(X)&~humble(X))))=>(?[X]:((calm(X)|tall(X)))))&
((~humble(lucy))<=>((~curious(paul)|~strong(paul))))&
((calm(paul))=>(curious(susan)))&
(![X]:((~happy(X)<~>~old(X))=>(patient(X)&~quiet(X))))&
((?[X]:(curious(X)))<=>((humble(fred)<~>wise(fred))))&
((?[X]:(~curiou... | ~quiet(john) | [
"p4",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6522341032526656646529503
% SZS output start Proof for 6522341032526656646529503
5. ! [X0] : ((~happy(X0) <~> ~old(X0)) => (~quiet(X0) & patient(X0))) [input p4]
12. ! [X0] : ((~wise(X0) | old(X0)) => (~curious(X0) & ~quiet(X0))) [input p11]
13. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> ~w... | 0 |
Everyone who is either old or generous is tall or not brave and vice versa.
Everyone who is both patient and not wise is both strong and brave and vice versa.
Everyone who is wise or curious is either not quiet or quiet and vice versa.
Everyone who is generous is either brave or tall.
Everyone who is not creative is bo... | Paul is not wise. | neutral | (![X]:((old(X)<~>generous(X))<=>(tall(X)|~brave(X))))&
(![X]:((patient(X)&~wise(X))<=>(strong(X)&brave(X))))&
(![X]:((wise(X)|curious(X))<=>(~quiet(X)<~>quiet(X))))&
(![X]:(generous(X)=>(brave(X)<~>tall(X))))&
(![X]:(~creative(X)=>(~brave(X)&generous(X))))&
((?[X]:((~curious(X)<~>rich(X))))<=>(strong(susan)))&
(((~funn... | ~wise(paul) | [] | null | 0 |
Everyone who is both not happy and not strong is creative and vice versa.
If someone is not rich or not brave then someone is either humble or tall.
Everyone who is either not strong or not happy is not quiet or not creative.
If someone is quiet or not creative then john is both not humble and not patient.
If someone i... | John is wise. | entailment | (![X]:((~happy(X)&~strong(X))<=>creative(X)))&
((?[X]:((~rich(X)|~brave(X))))=>(?[X]:((humble(X)<~>tall(X)))))&
(![X]:((~strong(X)<~>~happy(X))=>(~quiet(X)|~creative(X))))&
((?[X]:((quiet(X)|~creative(X))))=>((~humble(john)&~patient(john))))&
((?[X]:((~wise(X)|patient(X))))<=>(?[X]:((brave(X)<~>~funny(X)))))&
(![X]:(ol... | wise(john) | [
"p3",
"p5",
"p8",
"p10",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3305478180342732320355372
% SZS output start Proof for 3305478180342732320355372
4. ? [X0] : (~creative(X0) | quiet(X0)) => (~patient(john) & ~humble(john)) [input p3]
6. ! [X0] : (old(X0) <=> (~funny(X0) | tall(X0))) [input p5]
9. ! [X0] : ((~tall(X0) | ~patient(X0)) <=> (~brave(X0) | wi... | 0 |
If someone is either humble or not patient then someone is old or not kind.
Everyone who is both curious and not rich is not curious and vice versa.
Everyone who is not wise is not strong and vice versa.
Everyone who is either old or not happy is not calm.
If mary is either old or patient then someone is old or not qui... | Lucy is not happy. | neutral | ((?[X]:((humble(X)<~>~patient(X))))=>(?[X]:((old(X)|~kind(X)))))&
(![X]:((curious(X)&~rich(X))<=>~curious(X)))&
(![X]:(~wise(X)<=>~strong(X)))&
(![X]:((old(X)<~>~happy(X))=>~calm(X)))&
(((old(mary)<~>patient(mary)))<=>(?[X]:((old(X)|~quiet(X)))))&
(((generous(lucy)|curious(lucy)))=>(?[X]:((creative(X)|~humble(X)))))&
(... | ~happy(lucy) | [] | null | 0 |
Everyone who is either funny or not rich is both not rich and not curious and vice versa.
Everyone who is wise or kind is tall and vice versa.
Everyone who is not brave or tall is not calm.
Everyone who is not quiet or not curious is not curious.
If mary is creative then paul is both creative and not calm and vice vers... | Lucy is wise. | contradiction | (![X]:((funny(X)<~>~rich(X))<=>(~rich(X)&~curious(X))))&
(![X]:((wise(X)|kind(X))<=>tall(X)))&
(![X]:((~brave(X)|tall(X))=>~calm(X)))&
(![X]:((~quiet(X)|~curious(X))=>~curious(X)))&
((creative(mary))<=>((creative(paul)&~calm(paul))))&
(![X]:((patient(X)<~>~patient(X))<=>(~wise(X)&~generous(X))))&
((?[X]:((tall(X)<~>~hu... | wise(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5173604741104735801874393
% SZS output start Proof for 5173604741104735801874393
6. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> (~generous(X0) & ~wise(X0))) [input p5]
24. wise(lucy) [input hypothesis]
43. ! [X0] : ((((patient(X0) | ~patient(X0)) & (~patient(X0) | patient(X0))) | (genero... | 0 |
Everyone who is generous is not quiet and vice versa.
Everyone who is either not humble or strong is both not tall and not creative and vice versa.
Everyone who is not generous or not funny is not old and vice versa.
Everyone who is both patient and not funny is either tall or not funny and vice versa.
If someone is bo... | Fred is not kind. | entailment | (![X]:(generous(X)<=>~quiet(X)))&
(![X]:((~humble(X)<~>strong(X))<=>(~tall(X)&~creative(X))))&
(![X]:((~generous(X)|~funny(X))<=>~old(X)))&
(![X]:((patient(X)&~funny(X))<=>(tall(X)<~>~funny(X))))&
((?[X]:((calm(X)&~tall(X))))<=>(?[X]:((~humble(X)|rich(X)))))&
(![X]:((strong(X)<~>kind(X))<=>~tall(X)))&
((?[X]:((old(X)<~... | ~kind(fred) | [
"p8",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 456173336625025920100128
% SZS output start Proof for 456173336625025920100128
9. ! [X0] : ((~quiet(X0) | wise(X0)) <=> calm(X0)) [input p8]
13. ! [X0] : ((~strong(X0) <~> generous(X0)) => (~calm(X0) & humble(X0))) [input p12]
16. ! [X0] : ((kind(X0) | rich(X0)) <=> wise(X0)) [input p15]
... | 0 |
If someone is happy then someone is tall or humble.
Everyone who is quiet is either not rich or creative.
Everyone who is either funny or wise is either tall or not rich.
If mary is not strong then someone is not old or not funny and vice versa.
Everyone who is old or not humble is both patient and curious and vice ver... | Fred is not strong. | contradiction | ((?[X]:(happy(X)))=>(?[X]:((tall(X)|humble(X)))))&
(![X]:(quiet(X)=>(~rich(X)<~>creative(X))))&
(![X]:((funny(X)<~>wise(X))=>(tall(X)<~>~rich(X))))&
((~strong(mary))<=>(?[X]:((~old(X)|~funny(X)))))&
(![X]:((old(X)|~humble(X))<=>(patient(X)&curious(X))))&
((?[X]:(kind(X)))<=>(?[X]:((strong(X)&~generous(X)))))&
(![X]:(cu... | ~strong(fred) | [
"p4",
"p9",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7782867202737070373362485
% SZS output start Proof for 7782867202737070373362485
5. ! [X0] : ((~humble(X0) | old(X0)) <=> (curious(X0) & patient(X0))) [input p4]
10. ! [X0] : (funny(X0) => old(X0)) [input p9]
12. ! [X0] : ((funny(X0) | strong(X0)) <=> (patient(X0) | ~patient(X0))) [input ... | 0 |
Everyone who is both strong and old is both not kind and not quiet and vice versa.
Everyone who is both not kind and not happy is both not calm and not patient.
If paul is not happy or not wise then susan is either quiet or not curious.
If someone is either old or funny then lucy is not tall or not patient and vice ver... | Fred is not generous. | contradiction | (![X]:((strong(X)&old(X))<=>(~kind(X)&~quiet(X))))&
(![X]:((~kind(X)&~happy(X))=>(~calm(X)&~patient(X))))&
(((~happy(paul)|~wise(paul)))=>((quiet(susan)<~>~curious(susan))))&
((?[X]:((old(X)<~>funny(X))))<=>((~tall(lucy)|~patient(lucy))))&
(![X]:(patient(X)<=>(~strong(X)&~wise(X))))&
(![X]:(tall(X)<=>~funny(X)))&
((?[X... | ~generous(fred) | [
"p0",
"p7",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2835748364251806308100179
% SZS output start Proof for 2835748364251806308100179
1. ! [X0] : ((old(X0) & strong(X0)) <=> (~quiet(X0) & ~kind(X0))) [input p0]
8. ! [X0] : ((~brave(X0) <~> old(X0)) <=> (quiet(X0) | ~wise(X0))) [input p7]
9. ! [X0] : ((generous(X0) <~> kind(X0)) => (~brave(X... | 0 |
If someone is kind or not generous then alice is quiet or kind and vice versa. Everyone who is not tall or kind is either not rich or quiet. Everyone who is both not curious and creative is either not happy or humble and vice versa. Everyone who is either tall or patient is both humble and wise. If someone is both happ... | Mary is not creative. | contradiction | ((?[X]:((kind(X)|~generous(X))))<=>((quiet(alice)|kind(alice))))&
(![X]:((~tall(X)|kind(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((~curious(X)&creative(X))<=>(~happy(X)<~>humble(X))))&
(![X]:((tall(X)<~>patient(X))=>(humble(X)&wise(X))))&
((?[X]:((happy(X)&tall(X))))<=>((creative(alice)<~>~funny(alice))))&
(![X]:((~rich(X)<... | ~creative(mary) | [
"p2",
"p3",
"p7",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2764392100238607533622837
% SZS output start Proof for 2764392100238607533622837
3. ! [X0] : ((creative(X0) & ~curious(X0)) <=> (~happy(X0) <~> humble(X0))) [input p2]
4. ! [X0] : ((tall(X0) <~> patient(X0)) => (wise(X0) & humble(X0))) [input p3]
8. ! [X0] : ((humble(X0) | ~tall(X0)) <=> ... | 0 |
Everyone who is either happy or old is not creative or creative.
If someone is wise then paul is not creative and vice versa.
If susan is not tall or humble then lucy is both humble and strong and vice versa.
Everyone who is either calm or not curious is not quiet or not rich and vice versa.
If susan is strong or not f... | Susan is not strong. | contradiction | (![X]:((happy(X)<~>old(X))=>(~creative(X)|creative(X))))&
((?[X]:(wise(X)))<=>(~creative(paul)))&
(((~tall(susan)|humble(susan)))<=>((humble(lucy)&strong(lucy))))&
(![X]:((calm(X)<~>~curious(X))<=>(~quiet(X)|~rich(X))))&
(((strong(susan)|~funny(susan)))<=>(?[X]:((~curious(X)<~>quiet(X)))))&
((?[X]:(~generous(X)))=>(?[X... | ~strong(susan) | [
"p7",
"p8",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7615185797373010671739583
% SZS output start Proof for 7615185797373010671739583
8. ! [X0] : (~brave(X0) <=> (~rich(X0) <~> ~quiet(X0))) [input p7]
9. ? [X0] : (~calm(X0) | happy(X0)) <=> (~quiet(susan) <~> ~brave(susan)) [input p8]
13. ! [X0] : ((~funny(X0) & ~rich(X0)) => ~quiet(X0)) [i... | 0 |
Everyone who is calm or funny is humble and vice versa. Everyone who is both not old and not happy is not patient or not happy. If susan is either strong or not curious then lucy is brave and vice versa. Everyone who is both not patient and not tall is happy or not brave. Everyone who is not quiet is both curious and n... | Lucy is not calm. | neutral | (![X]:((calm(X)|funny(X))<=>humble(X)))&
(![X]:((~old(X)&~happy(X))=>(~patient(X)|~happy(X))))&
(((strong(susan)<~>~curious(susan)))<=>(brave(lucy)))&
(![X]:((~patient(X)&~tall(X))=>(happy(X)|~brave(X))))&
(![X]:(~quiet(X)=>(curious(X)&~calm(X))))&
((?[X]:((rich(X)<~>~old(X))))<=>((~kind(lucy)<~>~strong(lucy))))&
(((~q... | ~calm(lucy) | [] | null | 0 |
Everyone who is not quiet is rich or not quiet.
If fred is not curious or not strong then someone is either wise or not generous.
Everyone who is not happy or not brave is rich or creative and vice versa.
Everyone who is either not rich or not tall is not generous or creative.
If someone is not rich then someone is bot... | Susan is not wise. | neutral | (![X]:(~quiet(X)=>(rich(X)|~quiet(X))))&
(((~curious(fred)|~strong(fred)))=>(?[X]:((wise(X)<~>~generous(X)))))&
(![X]:((~happy(X)|~brave(X))<=>(rich(X)|creative(X))))&
(![X]:((~rich(X)<~>~tall(X))=>(~generous(X)|creative(X))))&
((?[X]:(~rich(X)))=>(?[X]:((kind(X)&~generous(X)))))&
(![X]:((~creative(X)<~>wise(X))<=>old(... | ~wise(susan) | [] | null | 0 |
Everyone who is patient or not generous is wise or funny and vice versa.
Everyone who is both not curious and tall is either happy or creative and vice versa.
Everyone who is not calm or strong is either not happy or not calm and vice versa.
If someone is funny or not tall then alice is both humble and curious and vice... | Susan is not calm. | contradiction | (![X]:((patient(X)|~generous(X))<=>(wise(X)|funny(X))))&
(![X]:((~curious(X)&tall(X))<=>(happy(X)<~>creative(X))))&
(![X]:((~calm(X)|strong(X))<=>(~happy(X)<~>~calm(X))))&
((?[X]:((funny(X)|~tall(X))))<=>((humble(alice)&curious(alice))))&
(![X]:((~generous(X)&strong(X))<=>(~rich(X)|~curious(X))))&
(((~curious(susan)<~>... | ~calm(susan) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3742755870439959511339176
% SZS output start Proof for 3742755870439959511339176
1. ! [X0] : ((~generous(X0) | patient(X0)) <=> (funny(X0) | wise(X0))) [input p0]
2. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (happy(X0) <~> creative(X0))) [input p1]
3. ! [X0] : ((strong(X0) | ~calm(X0)) <=> ... | 0 |
Everyone who is both humble and not quiet is old or wise and vice versa.
Everyone who is calm or quiet is both brave and tall and vice versa.
Everyone who is not strong is not happy.
Everyone who is not wise is both curious and not humble.
Everyone who is wise is either humble or wise.
Everyone who is happy is patient.... | Lucy is not creative. | entailment | (![X]:((humble(X)&~quiet(X))<=>(old(X)|wise(X))))&
(![X]:((calm(X)|quiet(X))<=>(brave(X)&tall(X))))&
(![X]:(~strong(X)=>~happy(X)))&
(![X]:(~wise(X)=>(curious(X)&~humble(X))))&
(![X]:(wise(X)=>(humble(X)<~>wise(X))))&
(![X]:(happy(X)=>patient(X)))&
(![X]:((patient(X)&funny(X))<=>(~strong(X)<~>calm(X))))&
(![X]:(creativ... | ~creative(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4311091066554962941438822
% SZS output start Proof for 4311091066554962941438822
1. ! [X0] : ((~quiet(X0) & humble(X0)) <=> (wise(X0) | old(X0))) [input p0]
2. ! [X0] : ((quiet(X0) | calm(X0)) <=> (tall(X0) & brave(X0))) [input p1]
4. ! [X0] : (~wise(X0) => (~humble(X0) & curious(X0))) [i... | 0 |
Everyone who is either not tall or not wise is either patient or tall and vice versa.
Everyone who is rich or curious is happy.
Everyone who is patient is either happy or creative and vice versa.
Everyone who is both not kind and not generous is either not curious or not wise.
Everyone who is wise is happy or brave and... | Mary is not humble. | entailment | (![X]:((~tall(X)<~>~wise(X))<=>(patient(X)<~>tall(X))))&
(![X]:((rich(X)|curious(X))=>happy(X)))&
(![X]:(patient(X)<=>(happy(X)<~>creative(X))))&
(![X]:((~kind(X)&~generous(X))=>(~curious(X)<~>~wise(X))))&
(![X]:(wise(X)<=>(happy(X)|brave(X))))&
(![X]:((~generous(X)&~quiet(X))=>(~tall(X)|~old(X))))&
((?[X]:(~wise(X)))<... | ~humble(mary) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3772095468930908410729524
% SZS output start Proof for 3772095468930908410729524
14. ! [X0] : ((humble(X0) <~> ~humble(X0)) => ~humble(X0)) [input p13]
24. humble(mary) [input hypothesis]
33. ! [X0] : (~humble(X0) | (humble(X0) <=> ~humble(X0))) [ennf transformation 14]
63. ! [X0] : (~hum... | 0 |
Everyone who is calm is either generous or not quiet and vice versa. Everyone who is curious or not generous is both tall and patient. Everyone who is not calm or not patient is either not rich or not tall and vice versa. Everyone who is not curious or not generous is either rich or tall and vice versa. Everyone who is... | Paul is wise. | neutral | (![X]:(calm(X)<=>(generous(X)<~>~quiet(X))))&
(![X]:((curious(X)|~generous(X))=>(tall(X)&patient(X))))&
(![X]:((~calm(X)|~patient(X))<=>(~rich(X)<~>~tall(X))))&
(![X]:((~curious(X)|~generous(X))<=>(rich(X)<~>tall(X))))&
(![X]:(tall(X)=>(old(X)<~>~funny(X))))&
(![X]:((~curious(X)|patient(X))=>(creative(X)<~>calm(X))))&
... | wise(paul) | [] | null | 0 |
Everyone who is either not patient or calm is generous or not funny.
If someone is either quiet or not calm then someone is kind or rich.
Everyone who is not funny or not wise is both old and kind.
Everyone who is both strong and tall is not happy and vice versa.
If alice is both funny and not calm then lucy is both no... | Alice is creative. | entailment | (![X]:((~patient(X)<~>calm(X))=>(generous(X)|~funny(X))))&
((?[X]:((quiet(X)<~>~calm(X))))=>(?[X]:((kind(X)|rich(X)))))&
(![X]:((~funny(X)|~wise(X))=>(old(X)&kind(X))))&
(![X]:((strong(X)&tall(X))<=>~happy(X)))&
(((funny(alice)&~calm(alice)))=>((~humble(lucy)&wise(lucy))))&
((?[X]:((brave(X)<~>calm(X))))=>((~quiet(susa... | creative(alice) | [
"p5",
"p7",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5666739646399353624879638
% SZS output start Proof for 5666739646399353624879638
6. ? [X0] : (brave(X0) <~> calm(X0)) => (~wise(susan) & ~quiet(susan)) [input p5]
8. ? [X0] : ~creative(X0) <=> ? [X0] : (brave(X0) & ~funny(X0)) [input p7]
9. ! [X0] : (~funny(X0) => (~calm(X0) & tall(X0))) ... | 0 |
Everyone who is not generous is either not curious or not kind and vice versa. Everyone who is not brave is not quiet. Everyone who is both not curious and wise is both not old and not happy and vice versa. If someone is both not strong and quiet then someone is not calm or not happy. If susan is rich or funny then pau... | Paul is patient. | neutral | (![X]:(~generous(X)<=>(~curious(X)<~>~kind(X))))&
(![X]:(~brave(X)=>~quiet(X)))&
(![X]:((~curious(X)&wise(X))<=>(~old(X)&~happy(X))))&
((?[X]:((~strong(X)&quiet(X))))=>(?[X]:((~calm(X)|~happy(X)))))&
(((rich(susan)|funny(susan)))<=>((old(paul)|patient(paul))))&
(![X]:((~generous(X)&~wise(X))=>~brave(X)))&
(![X]:((~quie... | patient(paul) | [] | null | 0 |
Everyone who is not quiet is curious or brave and vice versa.
Everyone who is not curious is either rich or not brave and vice versa.
If someone is not rich or quiet then lucy is both not patient and not happy.
Everyone who is happy is both old and curious.
Everyone who is either not strong or not quiet is funny or qui... | John is not kind. | neutral | (![X]:(~quiet(X)<=>(curious(X)|brave(X))))&
(![X]:(~curious(X)<=>(rich(X)<~>~brave(X))))&
((?[X]:((~rich(X)|quiet(X))))=>((~patient(lucy)&~happy(lucy))))&
(![X]:(happy(X)=>(old(X)&curious(X))))&
(![X]:((~strong(X)<~>~quiet(X))=>(funny(X)|quiet(X))))&
(((~brave(susan)<~>~calm(susan)))=>((~old(susan)<~>~happy(susan))))&
... | ~kind(john) | [] | null | 0 |
If someone is either funny or not strong then paul is either quiet or generous and vice versa.
If someone is both tall and quiet then alice is wise or not tall.
Everyone who is old is humble.
Everyone who is happy or not kind is both generous and old.
Everyone who is rich is both not funny and generous.
If someone is b... | Fred is kind. | entailment | ((?[X]:((funny(X)<~>~strong(X))))<=>((quiet(paul)<~>generous(paul))))&
((?[X]:((tall(X)&quiet(X))))=>((wise(alice)|~tall(alice))))&
(![X]:(old(X)=>humble(X)))&
(![X]:((happy(X)|~kind(X))=>(generous(X)&old(X))))&
(![X]:(rich(X)=>(~funny(X)&generous(X))))&
((?[X]:((~old(X)&~kind(X))))<=>(old(susan)))&
(((~curious(mary)|c... | kind(fred) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 560574554683679088993891
% SZS output start Proof for 560574554683679088993891
10. ! [X0] : (kind(X0) <=> (creative(X0) | ~wise(X0))) [input p9]
15. ! [X0] : ((~kind(X0) & wise(X0)) => (generous(X0) & kind(X0))) [input p14]
25. ~kind(fred) [input hypothesis]
36. ! [X0] : ((generous(X0) & ... | 0 |
If someone is not kind then fred is humble.
Everyone who is wise is both calm and brave.
Everyone who is both creative and old is not rich or not old and vice versa.
If someone is either not old or curious then fred is not calm.
If someone is either curious or not tall then fred is either wise or not curious.
If alice ... | Paul is not funny. | contradiction | ((?[X]:(~kind(X)))=>(humble(fred)))&
(![X]:(wise(X)=>(calm(X)&brave(X))))&
(![X]:((creative(X)&old(X))<=>(~rich(X)|~old(X))))&
((?[X]:((~old(X)<~>curious(X))))=>(~calm(fred)))&
((?[X]:((curious(X)<~>~tall(X))))=>((wise(fred)<~>~curious(fred))))&
(((calm(alice)|~tall(alice)))=>((strong(mary)&~old(mary))))&
(![X]:(~tall(... | ~funny(paul) | [
"p2",
"p7",
"p8",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3000070120409376251527160
% SZS output start Proof for 3000070120409376251527160
3. ! [X0] : ((old(X0) & creative(X0)) <=> (~old(X0) | ~rich(X0))) [input p2]
8. ! [X0] : ((strong(X0) & ~old(X0)) <=> (~funny(X0) & ~happy(X0))) [input p7]
9. ! [X0] : ((creative(X0) | wise(X0)) => (funny(X0)... | 0 |
Everyone who is both tall and not wise is either curious or not generous and vice versa.
Everyone who is either patient or not generous is not wise or old.
If someone is old then fred is not funny and vice versa.
If mary is either not wise or not kind then susan is not quiet or not calm and vice versa.
Everyone who is ... | Paul is tall. | entailment | (![X]:((tall(X)&~wise(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((patient(X)<~>~generous(X))=>(~wise(X)|old(X))))&
((?[X]:(old(X)))<=>(~funny(fred)))&
(((~wise(mary)<~>~kind(mary)))<=>((~quiet(susan)|~calm(susan))))&
(![X]:((~generous(X)|quiet(X))<=>(patient(X)&~tall(X))))&
(![X]:((~curious(X)<~>~funny(X))<=>kind(X)))... | tall(paul) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2890010217602227300369442
% SZS output start Proof for 2890010217602227300369442
10. ? [X0] : (~strong(X0) | ~tall(X0)) <=> humble(john) [input p9]
15. ? [X0] : humble(X0) => ~humble(john) [input p14]
21. ~tall(paul) [input hypothesis]
30. ~humble(john) | ! [X0] : ~humble(X0) [ennf transf... | 0 |
Everyone who is either brave or not patient is not old and vice versa.
If someone is humble then someone is not old.
Everyone who is curious or not calm is patient and vice versa.
Everyone who is strong or not patient is either not curious or tall and vice versa.
Everyone who is strong or not generous is either strong ... | Lucy is quiet. | neutral | (![X]:((brave(X)<~>~patient(X))<=>~old(X)))&
((?[X]:(humble(X)))=>(?[X]:(~old(X))))&
(![X]:((curious(X)|~calm(X))<=>patient(X)))&
(![X]:((strong(X)|~patient(X))<=>(~curious(X)<~>tall(X))))&
(![X]:((strong(X)|~generous(X))<=>(strong(X)<~>~curious(X))))&
(((patient(john)|quiet(john)))<=>(?[X]:(~generous(X))))&
((?[X]:((h... | quiet(lucy) | [] | null | 0 |
Everyone who is either wise or not patient is either not calm or old and vice versa.
Everyone who is both funny and tall is both not funny and happy and vice versa.
Everyone who is both brave and kind is old and vice versa.
If john is both brave and curious then mary is creative.
If john is wise or not quiet then lucy ... | Alice is creative. | contradiction | (![X]:((wise(X)<~>~patient(X))<=>(~calm(X)<~>old(X))))&
(![X]:((funny(X)&tall(X))<=>(~funny(X)&happy(X))))&
(![X]:((brave(X)&kind(X))<=>old(X)))&
(((brave(john)&curious(john)))=>(creative(mary)))&
(((wise(john)|~quiet(john)))=>(quiet(lucy)))&
(![X]:((strong(X)|~old(X))=>(humble(X)<~>~rich(X))))&
(![X]:((old(X)|~funny(X... | creative(alice) | [
"p0",
"p1",
"p2",
"p6",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5453157513196362254375838
% SZS output start Proof for 5453157513196362254375838
1. ! [X0] : ((wise(X0) <~> ~patient(X0)) <=> (~calm(X0) <~> old(X0))) [input p0]
2. ! [X0] : ((tall(X0) & funny(X0)) <=> (happy(X0) & ~funny(X0))) [input p1]
3. ! [X0] : ((kind(X0) & brave(X0)) <=> old(X0)) [... | 0 |
If john is both strong and kind then someone is wise or not generous.
If someone is both kind and old then john is not quiet or not kind.
If someone is funny or not happy then someone is humble.
Everyone who is both not kind and brave is either not patient or not old.
Everyone who is either not funny or patient is both... | Mary is funny. | entailment | (((strong(john)&kind(john)))=>(?[X]:((wise(X)|~generous(X)))))&
((?[X]:((kind(X)&old(X))))=>((~quiet(john)|~kind(john))))&
((?[X]:((funny(X)|~happy(X))))=>(?[X]:(humble(X))))&
(![X]:((~kind(X)&brave(X))=>(~patient(X)<~>~old(X))))&
(![X]:((~funny(X)<~>patient(X))=>(~quiet(X)&curious(X))))&
(((~quiet(mary)<~>brave(mary))... | funny(mary) | [
"p8",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 161405790353283922573753
% SZS output start Proof for 161405790353283922573753
9. ? [X0] : (wise(X0) <~> generous(X0)) <=> funny(mary) [input p8]
15. ! [X0] : (~generous(X0) <=> (wise(X0) <~> quiet(X0))) [input p14]
17. ~quiet(mary) [input p16]
25. ~funny(mary) [input hypothesis]
58. (? [... | 0 |
If someone is old or not humble then someone is either not wise or brave and vice versa.
If lucy is either creative or not old then susan is tall or not generous and vice versa.
If alice is both happy and strong then john is both wise and not generous and vice versa.
Everyone who is not calm is both not humble and not ... | Lucy is not patient. | entailment | ((?[X]:((old(X)|~humble(X))))<=>(?[X]:((~wise(X)<~>brave(X)))))&
(((creative(lucy)<~>~old(lucy)))<=>((tall(susan)|~generous(susan))))&
(((happy(alice)&strong(alice)))<=>((wise(john)&~generous(john))))&
(![X]:(~calm(X)=>(~humble(X)&~calm(X))))&
(![X]:((~happy(X)<~>~rich(X))=>(patient(X)|rich(X))))&
(![X]:((curious(X)|pa... | ~patient(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6542326896475311051911596
% SZS output start Proof for 6542326896475311051911596
6. ! [X0] : ((patient(X0) | curious(X0)) => (~rich(X0) & rich(X0))) [input p5]
21. patient(lucy) [input hypothesis]
24. ! [X0] : (patient(X0) => (~rich(X0) & rich(X0))) [pure predicate removal 6]
29. ! [X0] :... | 0 |
If fred is either not quiet or not kind then someone is either not rich or curious and vice versa.
Everyone who is either calm or not tall is both not creative and happy and vice versa.
Everyone who is either not wise or wise is both rich and happy.
If susan is quiet then fred is either brave or quiet and vice versa.
I... | Lucy is humble. | contradiction | (((~quiet(fred)<~>~kind(fred)))<=>(?[X]:((~rich(X)<~>curious(X)))))&
(![X]:((calm(X)<~>~tall(X))<=>(~creative(X)&happy(X))))&
(![X]:((~wise(X)<~>wise(X))=>(rich(X)&happy(X))))&
((quiet(susan))<=>((brave(fred)<~>quiet(fred))))&
((?[X]:((patient(X)<~>rich(X))))<=>(~humble(lucy)))&
(![X]:((~funny(X)|tall(X))<=>(~old(X)|hu... | humble(lucy) | [
"p1",
"p2",
"p4",
"p6",
"p8",
"p9",
"p11",
"p13",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6345413999941712495951097
% SZS output start Proof for 6345413999941712495951097
2. ! [X0] : ((calm(X0) <~> ~tall(X0)) <=> (happy(X0) & ~creative(X0))) [input p1]
3. ! [X0] : ((~wise(X0) <~> wise(X0)) => (happy(X0) & rich(X0))) [input p2]
5. ? [X0] : (patient(X0) <~> rich(X0)) <=> ~humble... | 0 |
If john is not old then someone is both brave and curious and vice versa.
If john is either curious or not humble then susan is both wise and not generous.
Everyone who is rich or not patient is not kind.
Everyone who is not creative or not happy is both not kind and quiet and vice versa.
Everyone who is funny or not o... | Fred is quiet. | entailment | ((~old(john))<=>(?[X]:((brave(X)&curious(X)))))&
(((curious(john)<~>~humble(john)))=>((wise(susan)&~generous(susan))))&
(![X]:((rich(X)|~patient(X))=>~kind(X)))&
(![X]:((~creative(X)|~happy(X))<=>(~kind(X)&quiet(X))))&
(![X]:((funny(X)|~old(X))<=>quiet(X)))&
(![X]:(patient(X)=>(patient(X)&~funny(X))))&
(![X]:((humble(X... | quiet(fred) | [
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3350939190974007346102401
% SZS output start Proof for 3350939190974007346102401
4. ! [X0] : ((~happy(X0) | ~creative(X0)) <=> (quiet(X0) & ~kind(X0))) [input p3]
5. ! [X0] : ((~old(X0) | funny(X0)) <=> quiet(X0)) [input p4]
10. ! [X0] : (happy(X0) => (quiet(X0) | funny(X0))) [input p9]
2... | 0 |
If someone is either not brave or humble then someone is both happy and kind.
If mary is either happy or not humble then someone is both rich and happy.
Everyone who is wise or not wise is both wise and not funny and vice versa.
Everyone who is brave is either not calm or strong.
Everyone who is old or curious is brave... | Paul is strong. | contradiction | ((?[X]:((~brave(X)<~>humble(X))))=>(?[X]:((happy(X)&kind(X)))))&
(((happy(mary)<~>~humble(mary)))=>(?[X]:((rich(X)&happy(X)))))&
(![X]:((wise(X)|~wise(X))<=>(wise(X)&~funny(X))))&
(![X]:(brave(X)=>(~calm(X)<~>strong(X))))&
(![X]:((old(X)|curious(X))<=>(brave(X)|~happy(X))))&
(![X]:((~wise(X)|~rich(X))=>creative(X)))&
(... | strong(paul) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3646855384590610296508405
% SZS output start Proof for 3646855384590610296508405
3. ! [X0] : ((~wise(X0) | wise(X0)) <=> (~funny(X0) & wise(X0))) [input p2]
13. ! [X0] : (~funny(X0) => (~funny(X0) <~> strong(X0))) [input p12]
24. strong(paul) [input hypothesis]
35. ! [X0] : ((~funny(X0) <... | 0 |
If someone is both not generous and curious then alice is humble or not strong and vice versa.
Everyone who is both not strong and kind is curious.
If fred is tall then susan is old.
If someone is kind or not calm then someone is either not funny or old and vice versa.
Everyone who is either wise or quiet is strong and... | Alice is not strong. | neutral | ((?[X]:((~generous(X)&curious(X))))<=>((humble(alice)|~strong(alice))))&
(![X]:((~strong(X)&kind(X))=>curious(X)))&
((tall(fred))=>(old(susan)))&
((?[X]:((kind(X)|~calm(X))))<=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:((wise(X)<~>quiet(X))<=>strong(X)))&
(![X]:(~calm(X)<=>(generous(X)|humble(X))))&
((?[X]:((tall(X)|genero... | ~strong(alice) | [] | null | 0 |
Everyone who is rich is both curious and kind.
If john is either not curious or curious then mary is not creative and vice versa.
If someone is not funny then someone is both not wise and not kind and vice versa.
Everyone who is both strong and not kind is not generous or not quiet and vice versa.
If someone is not old... | Susan is not brave. | neutral | (![X]:(rich(X)=>(curious(X)&kind(X))))&
(((~curious(john)<~>curious(john)))<=>(~creative(mary)))&
((?[X]:(~funny(X)))<=>(?[X]:((~wise(X)&~kind(X)))))&
(![X]:((strong(X)&~kind(X))<=>(~generous(X)|~quiet(X))))&
((?[X]:(~old(X)))<=>(strong(fred)))&
(((~funny(susan)|~strong(susan)))<=>((~brave(alice)<~>~kind(alice))))&
(((... | ~brave(susan) | [] | null | 0 |
Everyone who is either not tall or not calm is happy or not strong and vice versa.
Everyone who is either not quiet or kind is both curious and not brave and vice versa.
Everyone who is either strong or not funny is either not tall or not calm.
Everyone who is humble is both humble and tall.
Everyone who is either old ... | John is calm. | neutral | (![X]:((~tall(X)<~>~calm(X))<=>(happy(X)|~strong(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(curious(X)&~brave(X))))&
(![X]:((strong(X)<~>~funny(X))=>(~tall(X)<~>~calm(X))))&
(![X]:(humble(X)=>(humble(X)&tall(X))))&
(![X]:((old(X)<~>~patient(X))=>~curious(X)))&
(![X]:(~generous(X)<=>~brave(X)))&
(((~strong(lucy)<~>happy(luc... | calm(john) | [] | null | 0 |
Everyone who is either not happy or not rich is either not kind or not patient and vice versa.
Everyone who is kind or humble is both not happy and calm.
Everyone who is not generous is kind or tall and vice versa.
If someone is both calm and not patient then john is either strong or kind.
Everyone who is either curiou... | John is kind. | contradiction | (![X]:((~happy(X)<~>~rich(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((kind(X)|humble(X))=>(~happy(X)&calm(X))))&
(![X]:(~generous(X)<=>(kind(X)|tall(X))))&
((?[X]:((calm(X)&~patient(X))))=>((strong(john)<~>kind(john))))&
(![X]:((curious(X)<~>~old(X))<=>(kind(X)|~calm(X))))&
((~rich(paul))=>(humble(alice)))&
(![X]:((~quie... | kind(john) | [
"p1",
"p2",
"p3",
"p8",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7319429797284168136981626
% SZS output start Proof for 7319429797284168136981626
2. ! [X0] : ((humble(X0) | kind(X0)) => (calm(X0) & ~happy(X0))) [input p1]
3. ! [X0] : (~generous(X0) <=> (tall(X0) | kind(X0))) [input p2]
4. ? [X0] : (~patient(X0) & calm(X0)) => (strong(john) <~> kind(joh... | 0 |
If someone is both not old and wise then paul is generous or patient and vice versa.
Everyone who is not curious or old is both patient and not old.
If fred is either not rich or not old then fred is either patient or quiet.
Everyone who is not patient or not old is both not brave and patient and vice versa.
Everyone w... | Paul is not curious. | neutral | ((?[X]:((~old(X)&wise(X))))<=>((generous(paul)|patient(paul))))&
(![X]:((~curious(X)|old(X))=>(patient(X)&~old(X))))&
(((~rich(fred)<~>~old(fred)))=>((patient(fred)<~>quiet(fred))))&
(![X]:((~patient(X)|~old(X))<=>(~brave(X)&patient(X))))&
(![X]:((quiet(X)|~brave(X))=>(~old(X)&wise(X))))&
(![X]:((strong(X)&~calm(X))<=>... | ~curious(paul) | [] | null | 0 |
If lucy is both brave and rich then someone is not wise or not humble.
Everyone who is both not kind and wise is both kind and old and vice versa.
Everyone who is not patient or not curious is not patient or strong and vice versa.
Everyone who is either old or happy is not quiet and vice versa.
Everyone who is both not... | Fred is wise. | entailment | (((brave(lucy)&rich(lucy)))=>(?[X]:((~wise(X)|~humble(X)))))&
(![X]:((~kind(X)&wise(X))<=>(kind(X)&old(X))))&
(![X]:((~patient(X)|~curious(X))<=>(~patient(X)|strong(X))))&
(![X]:((old(X)<~>happy(X))<=>~quiet(X)))&
(![X]:((~kind(X)&calm(X))<=>strong(X)))&
((?[X]:((~kind(X)&~old(X))))=>(?[X]:((strong(X)&happy(X)))))&
((?... | wise(fred) | [
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2567976467093079298902151
% SZS output start Proof for 2567976467093079298902151
9. (rich(fred) | ~wise(fred)) <=> (~patient(john) & ~tall(john)) [input p8]
15. ! [X0] : ((rich(X0) <~> ~patient(X0)) <=> rich(X0)) [input p14]
24. ~wise(fred) [input hypothesis]
54. ((rich(fred) | ~wise(fred... | 0 |
Everyone who is quiet is not quiet or creative and vice versa.
Everyone who is tall is either brave or not brave and vice versa.
Everyone who is not curious is brave or quiet.
If someone is not rich then mary is not curious and vice versa.
If alice is either happy or curious then alice is either happy or not kind.
Ever... | Paul is funny. | contradiction | (![X]:(quiet(X)<=>(~quiet(X)|creative(X))))&
(![X]:(tall(X)<=>(brave(X)<~>~brave(X))))&
(![X]:(~curious(X)=>(brave(X)|quiet(X))))&
((?[X]:(~rich(X)))<=>(~curious(mary)))&
(((happy(alice)<~>curious(alice)))=>((happy(alice)<~>~kind(alice))))&
(![X]:((creative(X)&funny(X))=>(~generous(X)&generous(X))))&
(![X]:((~old(X)<~>... | funny(paul) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4969747173439894615423549
% SZS output start Proof for 4969747173439894615423549
1. ! [X0] : (quiet(X0) <=> (creative(X0) | ~quiet(X0))) [input p0]
6. ! [X0] : ((funny(X0) & creative(X0)) => (generous(X0) & ~generous(X0))) [input p5]
23. funny(paul) [input hypothesis]
29. ! [X0] : ((gener... | 0 |
Everyone who is both not generous and wise is either not curious or not calm and vice versa.
If someone is not generous or not quiet then lucy is not tall.
Everyone who is either not happy or not curious is either kind or generous and vice versa.
Everyone who is humble is creative or calm and vice versa.
Everyone who i... | Fred is creative. | neutral | (![X]:((~generous(X)&wise(X))<=>(~curious(X)<~>~calm(X))))&
((?[X]:((~generous(X)|~quiet(X))))=>(~tall(lucy)))&
(![X]:((~happy(X)<~>~curious(X))<=>(kind(X)<~>generous(X))))&
(![X]:(humble(X)<=>(creative(X)|calm(X))))&
(![X]:((~humble(X)&creative(X))=>quiet(X)))&
(![X]:((old(X)|~curious(X))=>(~old(X)&~tall(X))))&
(![X]:... | creative(fred) | [] | null | 0 |
Everyone who is both generous and not patient is both calm and humble. If someone is either not kind or quiet then lucy is either not wise or curious. Everyone who is both not curious and curious is both not happy and funny. If someone is either calm or not generous then alice is not humble and vice versa. Everyone who... | Mary is not creative. | contradiction | (![X]:((generous(X)&~patient(X))=>(calm(X)&humble(X))))&
((?[X]:((~kind(X)<~>quiet(X))))=>((~wise(lucy)<~>curious(lucy))))&
(![X]:((~curious(X)&curious(X))=>(~happy(X)&funny(X))))&
((?[X]:((calm(X)<~>~generous(X))))<=>(~humble(alice)))&
(![X]:(brave(X)<=>(~rich(X)&~happy(X))))&
(((generous(john)&~strong(john)))<=>(?[X]... | ~creative(mary) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8701897115797684893590480
% SZS output start Proof for 8701897115797684893590480
17. creative(mary) & rich(mary) [input p16]
23. ~creative(mary) [input hypothesis]
132. creative(mary) [cnf transformation 17]
139. ~creative(mary) [cnf transformation 23]
287. $false [subsumption resolution ... | 0 |
Everyone who is not strong or quiet is rich or strong and vice versa.
If fred is brave or generous then susan is either kind or rich.
Everyone who is old or tall is kind and vice versa.
Everyone who is both wise and not humble is kind and vice versa.
If john is funny or not curious then someone is both not calm and not... | Paul is not patient. | neutral | (![X]:((~strong(X)|quiet(X))<=>(rich(X)|strong(X))))&
(((brave(fred)|generous(fred)))=>((kind(susan)<~>rich(susan))))&
(![X]:((old(X)|tall(X))<=>kind(X)))&
(![X]:((wise(X)&~humble(X))<=>kind(X)))&
(((funny(john)|~curious(john)))=>(?[X]:((~calm(X)&~patient(X)))))&
(![X]:((~quiet(X)|generous(X))<=>(creative(X)<~>tall(X))... | ~patient(paul) | [] | null | 0 |
Everyone who is both happy and not patient is either not curious or generous.
Everyone who is either not creative or patient is calm or not rich.
Everyone who is both generous and not creative is either not tall or brave.
If someone is both happy and patient then someone is not humble and vice versa.
If someone is not ... | John is not kind. | neutral | (![X]:((happy(X)&~patient(X))=>(~curious(X)<~>generous(X))))&
(![X]:((~creative(X)<~>patient(X))=>(calm(X)|~rich(X))))&
(![X]:((generous(X)&~creative(X))=>(~tall(X)<~>brave(X))))&
((?[X]:((happy(X)&patient(X))))<=>(?[X]:(~humble(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~creative(X)|~old(X)))))&
(((~tall(paul)<~>tall(paul... | ~kind(john) | [] | null | 0 |
Everyone who is either not quiet or not curious is not kind or not brave and vice versa.
Everyone who is either not brave or rich is not calm or not rich.
Everyone who is either not tall or not curious is both curious and creative.
Everyone who is either not curious or generous is not old or strong and vice versa.
If s... | Lucy is not kind. | contradiction | (![X]:((~quiet(X)<~>~curious(X))<=>(~kind(X)|~brave(X))))&
(![X]:((~brave(X)<~>rich(X))=>(~calm(X)|~rich(X))))&
(![X]:((~tall(X)<~>~curious(X))=>(curious(X)&creative(X))))&
(![X]:((~curious(X)<~>generous(X))<=>(~old(X)|strong(X))))&
((?[X]:(strong(X)))<=>(~funny(fred)))&
((?[X]:((rich(X)&quiet(X))))<=>(tall(paul)))&
((... | ~kind(lucy) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 696415123497119428142323
% SZS output start Proof for 696415123497119428142323
7. ? [X0] : (~kind(X0) <~> ~humble(X0)) <=> ? [X0] : (funny(X0) & ~funny(X0)) [input p6]
10. ! [X0] : ((wise(X0) | ~wise(X0)) <=> (brave(X0) & humble(X0))) [input p9]
25. ~kind(lucy) [input hypothesis]
26. ? [X... | 0 |
If alice is kind then someone is not creative.
Everyone who is either not patient or funny is brave or creative and vice versa.
Everyone who is patient is both wise and patient.
Everyone who is either happy or brave is both not generous and rich and vice versa.
If lucy is not tall then lucy is humble and vice versa.
Ev... | Lucy is not brave. | neutral | ((kind(alice))=>(?[X]:(~creative(X))))&
(![X]:((~patient(X)<~>funny(X))<=>(brave(X)|creative(X))))&
(![X]:(patient(X)=>(wise(X)&patient(X))))&
(![X]:((happy(X)<~>brave(X))<=>(~generous(X)&rich(X))))&
((~tall(lucy))<=>(humble(lucy)))&
(![X]:((~strong(X)<~>~creative(X))<=>~creative(X)))&
((~strong(paul))=>(?[X]:(quiet(X)... | ~brave(lucy) | [] | null | 0 |
Everyone who is both not creative and not generous is either not humble or quiet and vice versa. Everyone who is wise or not kind is wise. If susan is both not calm and not humble then someone is not quiet or wise and vice versa. If someone is both not curious and quiet then susan is strong. If paul is old or patient t... | Lucy is brave. | entailment | (![X]:((~creative(X)&~generous(X))<=>(~humble(X)<~>quiet(X))))&
(![X]:((wise(X)|~kind(X))=>wise(X)))&
(((~calm(susan)&~humble(susan)))<=>(?[X]:((~quiet(X)|wise(X)))))&
((?[X]:((~curious(X)&quiet(X))))=>(strong(susan)))&
(((old(paul)|patient(paul)))<=>(?[X]:((~funny(X)|brave(X)))))&
(![X]:((~happy(X)&patient(X))<=>(~ric... | brave(lucy) | [
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3228062702119130290398148
% SZS output start Proof for 3228062702119130290398148
6. ! [X0] : ((patient(X0) & ~happy(X0)) <=> (rich(X0) | ~rich(X0))) [input p5]
7. ! [X0] : ((~brave(X0) & ~happy(X0)) => (~kind(X0) <~> patient(X0))) [input p6]
8. ! [X0] : (patient(X0) => (~kind(X0) & ~funny... | 0 |
Everyone who is not old or not funny is both curious and not quiet and vice versa.
If someone is not tall then someone is not curious and vice versa.
If john is either not brave or generous then someone is not rich.
Everyone who is not creative is not old.
If someone is not brave or quiet then someone is not kind.
If s... | Lucy is old. | neutral | (![X]:((~old(X)|~funny(X))<=>(curious(X)&~quiet(X))))&
((?[X]:(~tall(X)))<=>(?[X]:(~curious(X))))&
(((~brave(john)<~>generous(john)))=>(?[X]:(~rich(X))))&
(![X]:(~creative(X)=>~old(X)))&
((?[X]:((~brave(X)|quiet(X))))=>(?[X]:(~kind(X))))&
((?[X]:((~creative(X)|~humble(X))))<=>(?[X]:((creative(X)&~strong(X)))))&
(![X]:(... | old(lucy) | [] | null | 0 |
Everyone who is both brave and strong is either not wise or not calm.
Everyone who is not calm is both not calm and kind and vice versa.
If someone is curious or not happy then fred is calm or not generous.
If someone is both not happy and not old then someone is both not creative and not humble.
Everyone who is not ki... | Lucy is not rich. | contradiction | (![X]:((brave(X)&strong(X))=>(~wise(X)<~>~calm(X))))&
(![X]:(~calm(X)<=>(~calm(X)&kind(X))))&
((?[X]:((curious(X)|~happy(X))))=>((calm(fred)|~generous(fred))))&
((?[X]:((~happy(X)&~old(X))))=>(?[X]:((~creative(X)&~humble(X)))))&
(![X]:((~kind(X)|~calm(X))<=>(~patient(X)&wise(X))))&
(![X]:((~humble(X)|funny(X))<=>(creat... | ~rich(lucy) | [
"p1",
"p6",
"p7",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8124568555149366042998906
% SZS output start Proof for 8124568555149366042998906
2. ! [X0] : (~calm(X0) <=> (kind(X0) & ~calm(X0))) [input p1]
7. ! [X0] : ((~kind(X0) <~> ~humble(X0)) <=> (~calm(X0) & ~brave(X0))) [input p6]
8. ! [X0] : ((~humble(X0) & calm(X0)) <=> (~calm(X0) & brave(X0)... | 0 |
Everyone who is both strong and wise is quiet or kind.
Everyone who is both not creative and not quiet is not strong or not humble and vice versa.
If paul is both strong and kind then someone is either funny or rich.
If someone is either not brave or not old then someone is both not brave and not generous.
Everyone who... | Mary is rich. | entailment | (![X]:((strong(X)&wise(X))=>(quiet(X)|kind(X))))&
(![X]:((~creative(X)&~quiet(X))<=>(~strong(X)|~humble(X))))&
(((strong(paul)&kind(paul)))=>(?[X]:((funny(X)<~>rich(X)))))&
((?[X]:((~brave(X)<~>~old(X))))=>(?[X]:((~brave(X)&~generous(X)))))&
(![X]:((quiet(X)<~>tall(X))<=>(~happy(X)<~>generous(X))))&
((?[X]:((generous(X... | rich(mary) | [
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6900104547402403008682531
% SZS output start Proof for 6900104547402403008682531
6. ? [X0] : (~funny(X0) | generous(X0)) => ? [X0] : (~funny(X0) & ~tall(X0)) [input p5]
14. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> ~curious(X0)) [input p13]
15. ! [X0] : ((funny(X0) | ~wise(X0)) => (gener... | 0 |
If susan is both wise and not strong then susan is generous or not rich and vice versa.
Everyone who is both humble and not patient is not brave or wise and vice versa.
Everyone who is both quiet and tall is either not creative or not brave.
Everyone who is wise is either not happy or not patient.
Everyone who is eithe... | Susan is creative. | entailment | (((wise(susan)&~strong(susan)))<=>((generous(susan)|~rich(susan))))&
(![X]:((humble(X)&~patient(X))<=>(~brave(X)|wise(X))))&
(![X]:((quiet(X)&tall(X))=>(~creative(X)<~>~brave(X))))&
(![X]:(wise(X)=>(~happy(X)<~>~patient(X))))&
(![X]:((quiet(X)<~>rich(X))=>(kind(X)<~>~old(X))))&
((?[X]:((creative(X)&rich(X))))=>(rich(lu... | creative(susan) | [
"p0",
"p1",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 612486671954334171377104
% SZS output start Proof for 612486671954334171377104
1. (~strong(susan) & wise(susan)) <=> (~rich(susan) | generous(susan)) [input p0]
2. ! [X0] : ((~patient(X0) & humble(X0)) <=> (wise(X0) | ~brave(X0))) [input p1]
10. ! [X0] : ((~creative(X0) | generous(X0)) =>... | 0 |
If alice is either wise or generous then mary is not curious and vice versa. If someone is either generous or tall then fred is humble. If lucy is patient then someone is either not strong or old and vice versa. Everyone who is not curious is strong or happy and vice versa. If someone is both not tall and brave then so... | Fred is humble. | entailment | (((wise(alice)<~>generous(alice)))<=>(~curious(mary)))&
((?[X]:((generous(X)<~>tall(X))))=>(humble(fred)))&
((patient(lucy))<=>(?[X]:((~strong(X)<~>old(X)))))&
(![X]:(~curious(X)<=>(strong(X)|happy(X))))&
((?[X]:((~tall(X)&brave(X))))=>(?[X]:(kind(X))))&
(![X]:((happy(X)<~>~brave(X))=>~patient(X)))&
(![X]:((~rich(X)|~t... | humble(fred) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7677936713024530615268902
% SZS output start Proof for 7677936713024530615268902
23. humble(fred) & ~wise(fred) [input p22]
24. ~humble(fred) [input hypothesis]
131. humble(fred) [cnf transformation 23]
132. ~humble(fred) [cnf transformation 24]
153. 5 <=> humble(fred) [avatar definition]... | 0 |
If john is tall or brave then susan is brave or patient.
Everyone who is both calm and not generous is patient.
Everyone who is not creative is humble or creative and vice versa.
If fred is not creative or rich then someone is either not patient or not creative.
If someone is both not brave and happy then someone is ei... | Lucy is not brave. | contradiction | (((tall(john)|brave(john)))=>((brave(susan)|patient(susan))))&
(![X]:((calm(X)&~generous(X))=>patient(X)))&
(![X]:(~creative(X)<=>(humble(X)|creative(X))))&
(((~creative(fred)|rich(fred)))=>(?[X]:((~patient(X)<~>~creative(X)))))&
((?[X]:((~brave(X)&happy(X))))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
((?[X]:((funny(X)&hum... | ~brave(lucy) | [
"p2",
"p4",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5070935007354362398401436
% SZS output start Proof for 5070935007354362398401436
3. ! [X0] : (~creative(X0) <=> (creative(X0) | humble(X0))) [input p2]
5. ? [X0] : (happy(X0) & ~brave(X0)) <=> ? [X0] : (~brave(X0) <~> ~humble(X0)) [input p4]
7. ! [X0] : ((funny(X0) <~> ~funny(X0)) => curi... | 0 |
Everyone who is patient or not funny is both generous and not funny and vice versa. Everyone who is either strong or not tall is rich. Everyone who is not creative is not funny or not generous. Everyone who is both not funny and not quiet is not calm and vice versa. If someone is both not wise and rich then someone is ... | Alice is not generous. | contradiction | (![X]:((patient(X)|~funny(X))<=>(generous(X)&~funny(X))))&
(![X]:((strong(X)<~>~tall(X))=>rich(X)))&
(![X]:(~creative(X)=>(~funny(X)|~generous(X))))&
(![X]:((~funny(X)&~quiet(X))<=>~calm(X)))&
((?[X]:((~wise(X)&rich(X))))=>(?[X]:((old(X)<~>~creative(X)))))&
((?[X]:(humble(X)))=>((~kind(paul)|humble(paul))))&
(![X]:((~p... | ~generous(alice) | [
"p0",
"p3",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 540472724492477542408844
% SZS output start Proof for 540472724492477542408844
1. ! [X0] : ((~funny(X0) | patient(X0)) <=> (~funny(X0) & generous(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) & ~funny(X0)) <=> ~calm(X0)) [input p3]
9. ! [X0] : (~rich(X0) <=> (funny(X0) | calm(X0))) [input p8]... | 0 |
Everyone who is not patient is either not calm or kind and vice versa.
Everyone who is either not generous or wise is both creative and quiet.
If someone is kind then paul is either generous or not old and vice versa.
Everyone who is either not wise or curious is calm.
If lucy is patient or strong then someone is not c... | Fred is patient. | contradiction | (![X]:(~patient(X)<=>(~calm(X)<~>kind(X))))&
(![X]:((~generous(X)<~>wise(X))=>(creative(X)&quiet(X))))&
((?[X]:(kind(X)))<=>((generous(paul)<~>~old(paul))))&
(![X]:((~wise(X)<~>curious(X))=>calm(X)))&
(((patient(lucy)|strong(lucy)))=>(?[X]:((~calm(X)|~creative(X)))))&
(![X]:((~tall(X)&calm(X))=>(~brave(X)<~>creative(X)... | patient(fred) | [
"p0",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4309491946890906259355706
% SZS output start Proof for 4309491946890906259355706
1. ! [X0] : (~patient(X0) <=> (~calm(X0) <~> kind(X0))) [input p0]
20. kind(fred) & old(fred) [input p19]
21. ~wise(fred) & calm(fred) [input p20]
24. patient(fred) [input hypothesis]
42. ! [X0] : ((~patient(... | 0 |
Everyone who is generous is either not humble or not old and vice versa.
If john is either not tall or not humble then someone is not humble.
Everyone who is rich or not old is both strong and calm and vice versa.
If paul is not brave or humble then someone is calm or not patient.
Everyone who is both not generous and ... | Paul is not calm. | entailment | (![X]:(generous(X)<=>(~humble(X)<~>~old(X))))&
(((~tall(john)<~>~humble(john)))=>(?[X]:(~humble(X))))&
(![X]:((rich(X)|~old(X))<=>(strong(X)&calm(X))))&
(((~brave(paul)|humble(paul)))=>(?[X]:((calm(X)|~patient(X)))))&
(![X]:((~generous(X)&kind(X))<=>(patient(X)&~kind(X))))&
(![X]:((patient(X)|~curious(X))<=>(~funny(X)&... | ~calm(paul) | [
"p4",
"p5",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1978799923174395945968417
% SZS output start Proof for 1978799923174395945968417
5. ! [X0] : ((kind(X0) & ~generous(X0)) <=> (~kind(X0) & patient(X0))) [input p4]
6. ! [X0] : ((~curious(X0) | patient(X0)) <=> (~happy(X0) & ~funny(X0))) [input p5]
9. ? [X0] : (~kind(X0) <~> generous(X0)) =... | 0 |
Everyone who is either funny or not rich is both not rich and not curious and vice versa.
Everyone who is wise or kind is tall and vice versa.
Everyone who is not brave or tall is not calm.
Everyone who is not quiet or not curious is not curious.
If mary is creative then paul is both creative and not calm and vice vers... | Lucy is not old. | neutral | (![X]:((funny(X)<~>~rich(X))<=>(~rich(X)&~curious(X))))&
(![X]:((wise(X)|kind(X))<=>tall(X)))&
(![X]:((~brave(X)|tall(X))=>~calm(X)))&
(![X]:((~quiet(X)|~curious(X))=>~curious(X)))&
((creative(mary))<=>((creative(paul)&~calm(paul))))&
(![X]:((patient(X)<~>~patient(X))<=>(~wise(X)&~generous(X))))&
((?[X]:((tall(X)<~>~hu... | ~old(lucy) | [] | null | 0 |
If alice is both old and not creative then someone is both not patient and not rich. If someone is not patient or not curious then someone is calm and vice versa. Everyone who is both patient and happy is not tall or happy and vice versa. Everyone who is both not calm and patient is not creative and vice versa. If fred... | Paul is rich. | entailment | (((old(alice)&~creative(alice)))=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((~patient(X)|~curious(X))))<=>(?[X]:(calm(X))))&
(![X]:((patient(X)&happy(X))<=>(~tall(X)|happy(X))))&
(![X]:((~calm(X)&patient(X))<=>~creative(X)))&
(((~rich(fred)&~brave(fred)))=>(curious(fred)))&
(![X]:(rich(X)=>(~old(X)|quiet(X))))&
((?[X]:... | rich(paul) | [
"p2",
"p3",
"p7",
"p8",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1804442281455842657708806
% SZS output start Proof for 1804442281455842657708806
3. ! [X0] : ((happy(X0) & patient(X0)) <=> (happy(X0) | ~tall(X0))) [input p2]
4. ! [X0] : ((patient(X0) & ~calm(X0)) <=> ~creative(X0)) [input p3]
8. ! [X0] : (~wise(X0) <=> (~funny(X0) | ~creative(X0))) [in... | 0 |
If mary is either not old or not quiet then someone is humble and vice versa. Everyone who is both rich and humble is either not strong or not quiet. Everyone who is both not tall and not quiet is either not wise or creative and vice versa. Everyone who is not brave or generous is either not tall or creative. Everyone ... | Paul is not curious. | neutral | (((~old(mary)<~>~quiet(mary)))<=>(?[X]:(humble(X))))&
(![X]:((rich(X)&humble(X))=>(~strong(X)<~>~quiet(X))))&
(![X]:((~tall(X)&~quiet(X))<=>(~wise(X)<~>creative(X))))&
(![X]:((~brave(X)|generous(X))=>(~tall(X)<~>creative(X))))&
(![X]:((funny(X)<~>~patient(X))=>(~creative(X)&~curious(X))))&
(![X]:(~wise(X)<=>(calm(X)&~q... | ~curious(paul) | [] | null | 0 |
Everyone who is either not brave or not curious is patient or not kind and vice versa.
Everyone who is wise or calm is quiet or kind.
Everyone who is either not patient or not kind is creative or not curious and vice versa.
Everyone who is either strong or rich is both not rich and not curious and vice versa.
If mary i... | Lucy is not kind. | contradiction | (![X]:((~brave(X)<~>~curious(X))<=>(patient(X)|~kind(X))))&
(![X]:((wise(X)|calm(X))=>(quiet(X)|kind(X))))&
(![X]:((~patient(X)<~>~kind(X))<=>(creative(X)|~curious(X))))&
(![X]:((strong(X)<~>rich(X))<=>(~rich(X)&~curious(X))))&
(((~calm(mary)&creative(mary)))<=>((brave(susan)|curious(susan))))&
(![X]:((~tall(X)<~>gener... | ~kind(lucy) | [
"p0",
"p2",
"p7",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5509549278911583658460056
% SZS output start Proof for 5509549278911583658460056
1. ! [X0] : ((~brave(X0) <~> ~curious(X0)) <=> (~kind(X0) | patient(X0))) [input p0]
3. ! [X0] : ((~patient(X0) <~> ~kind(X0)) <=> (~curious(X0) | creative(X0))) [input p2]
8. ! [X0] : ((brave(X0) <~> generou... | 0 |
Everyone who is both kind and not creative is either curious or old and vice versa.
Everyone who is either not brave or not strong is either not happy or brave.
Everyone who is both old and not old is tall or brave and vice versa.
Everyone who is both not patient and humble is either not calm or not quiet.
If someone i... | John is not happy. | neutral | (![X]:((kind(X)&~creative(X))<=>(curious(X)<~>old(X))))&
(![X]:((~brave(X)<~>~strong(X))=>(~happy(X)<~>brave(X))))&
(![X]:((old(X)&~old(X))<=>(tall(X)|brave(X))))&
(![X]:((~patient(X)&humble(X))=>(~calm(X)<~>~quiet(X))))&
((?[X]:(~humble(X)))<=>(~quiet(lucy)))&
(![X]:((~calm(X)<~>~funny(X))<=>(~kind(X)|strong(X))))&
(!... | ~happy(john) | [] | null | 0 |
Everyone who is either happy or calm is both not happy and not funny.
If someone is old or not brave then paul is not funny and vice versa.
If paul is not strong or curious then mary is either not kind or creative and vice versa.
Everyone who is either not generous or not rich is either happy or rich.
Everyone who is b... | Mary is creative. | neutral | (![X]:((happy(X)<~>calm(X))=>(~happy(X)&~funny(X))))&
((?[X]:((old(X)|~brave(X))))<=>(~funny(paul)))&
(((~strong(paul)|curious(paul)))<=>((~kind(mary)<~>creative(mary))))&
(![X]:((~generous(X)<~>~rich(X))=>(happy(X)<~>rich(X))))&
(![X]:((~strong(X)&~patient(X))<=>quiet(X)))&
((?[X]:((brave(X)&~rich(X))))<=>(?[X]:((~str... | creative(mary) | [] | null | 0 |
Everyone who is either not funny or kind is brave or not quiet and vice versa. Everyone who is calm or not happy is either not creative or not strong and vice versa. Everyone who is both wise and creative is not generous. If alice is both not generous and wise then someone is both not happy and not funny and vice versa... | Fred is old. | neutral | (![X]:((~funny(X)<~>kind(X))<=>(brave(X)|~quiet(X))))&
(![X]:((calm(X)|~happy(X))<=>(~creative(X)<~>~strong(X))))&
(![X]:((wise(X)&creative(X))=>~generous(X)))&
(((~generous(alice)&wise(alice)))<=>(?[X]:((~happy(X)&~funny(X)))))&
((?[X]:((generous(X)|~humble(X))))<=>((~brave(fred)|~wise(fred))))&
(![X]:(rich(X)=>(happy... | old(fred) | [] | null | 0 |
Everyone who is curious is strong and vice versa.
Everyone who is not strong is not brave or old and vice versa.
Everyone who is both happy and patient is either not kind or brave.
If someone is not tall then someone is humble and vice versa.
If mary is generous or not patient then someone is humble or rich.
Everyone w... | Paul is not kind. | contradiction | (![X]:(curious(X)<=>strong(X)))&
(![X]:(~strong(X)<=>(~brave(X)|old(X))))&
(![X]:((happy(X)&patient(X))=>(~kind(X)<~>brave(X))))&
((?[X]:(~tall(X)))<=>(?[X]:(humble(X))))&
(((generous(mary)|~patient(mary)))=>(?[X]:((humble(X)|rich(X)))))&
(![X]:((brave(X)&tall(X))=>(~calm(X)|curious(X))))&
(![X]:((~rich(X)<~>brave(X))<... | ~kind(paul) | [
"p6",
"p14",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5362770445363803882707193
% SZS output start Proof for 5362770445363803882707193
7. ! [X0] : ((~rich(X0) <~> brave(X0)) <=> kind(X0)) [input p6]
15. ? [X0] : funny(X0) <=> (~humble(paul) & happy(paul)) [input p14]
16. ! [X0] : ((~generous(X0) | rich(X0)) <=> kind(X0)) [input p15]
17. ~bra... | 0 |
If someone is not generous or not kind then someone is both humble and not strong.
Everyone who is both not creative and funny is curious.
Everyone who is kind or happy is patient or wise and vice versa.
Everyone who is both calm and not wise is both humble and not generous and vice versa.
If someone is either old or n... | Lucy is not tall. | neutral | ((?[X]:((~generous(X)|~kind(X))))=>(?[X]:((humble(X)&~strong(X)))))&
(![X]:((~creative(X)&funny(X))=>curious(X)))&
(![X]:((kind(X)|happy(X))<=>(patient(X)|wise(X))))&
(![X]:((calm(X)&~wise(X))<=>(humble(X)&~generous(X))))&
((?[X]:((old(X)<~>~strong(X))))=>(?[X]:((quiet(X)<~>~brave(X)))))&
((?[X]:(tall(X)))<=>(?[X]:((ri... | ~tall(lucy) | [] | null | 0 |
Everyone who is not calm is both curious and not calm.
Everyone who is old or generous is not old or not quiet.
If susan is both brave and old then alice is rich and vice versa.
If someone is either brave or not generous then someone is both not funny and not happy.
Everyone who is not funny is both not kind and not pa... | Susan is not curious. | neutral | (![X]:(~calm(X)=>(curious(X)&~calm(X))))&
(![X]:((old(X)|generous(X))=>(~old(X)|~quiet(X))))&
(((brave(susan)&old(susan)))<=>(rich(alice)))&
((?[X]:((brave(X)<~>~generous(X))))=>(?[X]:((~funny(X)&~happy(X)))))&
(![X]:(~funny(X)<=>(~kind(X)&~patient(X))))&
((?[X]:(~calm(X)))<=>((patient(john)<~>~brave(john))))&
(((~funn... | ~curious(susan) | [] | null | 0 |
Everyone who is either not funny or kind is both not old and generous.
If paul is generous or not calm then someone is not quiet and vice versa.
Everyone who is funny is not brave or kind.
Everyone who is either old or not strong is either patient or brave and vice versa.
Everyone who is both not old and tall is rich.
... | Mary is humble. | neutral | (![X]:((~funny(X)<~>kind(X))=>(~old(X)&generous(X))))&
(((generous(paul)|~calm(paul)))<=>(?[X]:(~quiet(X))))&
(![X]:(funny(X)=>(~brave(X)|kind(X))))&
(![X]:((old(X)<~>~strong(X))<=>(patient(X)<~>brave(X))))&
(![X]:((~old(X)&tall(X))=>rich(X)))&
(![X]:((~rich(X)&strong(X))<=>tall(X)))&
(((funny(john)<~>~curious(john)))=... | humble(mary) | [] | null | 0 |
If someone is strong then paul is strong or kind.
If paul is not calm or humble then someone is either not curious or not old and vice versa.
If lucy is either not strong or not quiet then someone is both brave and not humble.
If mary is not curious or wise then mary is both not funny and not patient.
If susan is eithe... | Mary is wise. | contradiction | ((?[X]:(strong(X)))=>((strong(paul)|kind(paul))))&
(((~calm(paul)|humble(paul)))<=>(?[X]:((~curious(X)<~>~old(X)))))&
(((~strong(lucy)<~>~quiet(lucy)))=>(?[X]:((brave(X)&~humble(X)))))&
(((~curious(mary)|wise(mary)))=>((~funny(mary)&~patient(mary))))&
(((~curious(susan)<~>~funny(susan)))<=>(?[X]:(funny(X))))&
(((~creat... | wise(mary) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5616555305262673934914204
% SZS output start Proof for 5616555305262673934914204
4. (wise(mary) | ~curious(mary)) => (~patient(mary) & ~funny(mary)) [input p3]
9. ! [X0] : (~funny(X0) => (patient(X0) & calm(X0))) [input p8]
24. wise(mary) [input hypothesis]
29. (~patient(mary) & ~funny(ma... | 0 |
If someone is either not kind or strong then someone is not generous or not strong and vice versa. Everyone who is both humble and not creative is both not quiet and not generous and vice versa. Everyone who is either happy or strong is either not kind or not humble and vice versa. Everyone who is kind or not tall is e... | Paul is tall. | entailment | ((?[X]:((~kind(X)<~>strong(X))))<=>(?[X]:((~generous(X)|~strong(X)))))&
(![X]:((humble(X)&~creative(X))<=>(~quiet(X)&~generous(X))))&
(![X]:((happy(X)<~>strong(X))<=>(~kind(X)<~>~humble(X))))&
(![X]:((kind(X)|~tall(X))=>(~wise(X)<~>rich(X))))&
(((~rich(mary)|wise(mary)))<=>(?[X]:((wise(X)<~>~quiet(X)))))&
(![X]:((quiet... | tall(paul) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5420168018605628405563511
% SZS output start Proof for 5420168018605628405563511
9. ! [X0] : ((brave(X0) | ~generous(X0)) <=> (~quiet(X0) & tall(X0))) [input p8]
13. ! [X0] : (generous(X0) <=> brave(X0)) [input p12]
21. ~tall(paul) [input hypothesis]
55. ! [X0] : (((brave(X0) | ~generous(... | 0 |
Everyone who is not curious or not happy is not generous or humble.
Everyone who is not happy is not curious or brave and vice versa.
If someone is either calm or generous then alice is both tall and not humble.
Everyone who is generous or old is both not calm and old and vice versa.
If someone is both humble and funny... | Fred is not creative. | contradiction | (![X]:((~curious(X)|~happy(X))=>(~generous(X)|humble(X))))&
(![X]:(~happy(X)<=>(~curious(X)|brave(X))))&
((?[X]:((calm(X)<~>generous(X))))=>((tall(alice)&~humble(alice))))&
(![X]:((generous(X)|old(X))<=>(~calm(X)&old(X))))&
((?[X]:((humble(X)&funny(X))))=>(?[X]:(~generous(X))))&
(![X]:((quiet(X)<~>creative(X))<=>(~rich... | ~creative(fred) | [
"p0",
"p1",
"p3",
"p11",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6924168212568698801993821
% SZS output start Proof for 6924168212568698801993821
1. ! [X0] : ((~happy(X0) | ~curious(X0)) => (humble(X0) | ~generous(X0))) [input p0]
2. ! [X0] : (~happy(X0) <=> (brave(X0) | ~curious(X0))) [input p1]
4. ! [X0] : ((old(X0) | generous(X0)) <=> (old(X0) & ~ca... | 0 |
Everyone who is creative is either not curious or creative.
If someone is curious or not wise then someone is calm or patient.
Everyone who is generous is not rich.
Everyone who is either not humble or generous is creative or not old and vice versa.
Everyone who is funny or brave is either not quiet or funny.
Everyone ... | Fred is not happy. | neutral | (![X]:(creative(X)=>(~curious(X)<~>creative(X))))&
((?[X]:((curious(X)|~wise(X))))=>(?[X]:((calm(X)|patient(X)))))&
(![X]:(generous(X)=>~rich(X)))&
(![X]:((~humble(X)<~>generous(X))<=>(creative(X)|~old(X))))&
(![X]:((funny(X)|brave(X))=>(~quiet(X)<~>funny(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>curious(X)))&
(((curiou... | ~happy(fred) | [] | null | 0 |
If someone is not rich then someone is not calm.
Everyone who is not curious or humble is either quiet or not rich and vice versa.
If someone is brave or not humble then paul is not generous or not kind and vice versa.
If someone is not curious then mary is both brave and not curious and vice versa.
If fred is either p... | Mary is rich. | entailment | ((?[X]:(~rich(X)))=>(?[X]:(~calm(X))))&
(![X]:((~curious(X)|humble(X))<=>(quiet(X)<~>~rich(X))))&
((?[X]:((brave(X)|~humble(X))))<=>((~generous(paul)|~kind(paul))))&
((?[X]:(~curious(X)))<=>((brave(mary)&~curious(mary))))&
(((patient(fred)<~>~happy(fred)))=>((~funny(susan)<~>~creative(susan))))&
(![X]:(strong(X)<=>(old... | rich(mary) | [
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4097612061812286305553140
% SZS output start Proof for 4097612061812286305553140
13. ? [X0] : (~quiet(X0) <~> curious(X0)) <=> (brave(mary) & rich(mary)) [input p12]
20. quiet(susan) <~> ~curious(susan) [input p19]
24. ~rich(mary) [input hypothesis]
64. (? [X0] : ((~curious(X0) | quiet(X0... | 0 |
If someone is wise then susan is not kind or not wise.
Everyone who is happy or not humble is patient or humble.
Everyone who is not brave or tall is both not patient and not humble and vice versa.
Everyone who is both not old and tall is both not calm and not tall and vice versa.
If john is not kind or not strong then... | Mary is not wise. | entailment | ((?[X]:(wise(X)))=>((~kind(susan)|~wise(susan))))&
(![X]:((happy(X)|~humble(X))=>(patient(X)|humble(X))))&
(![X]:((~brave(X)|tall(X))<=>(~patient(X)&~humble(X))))&
(![X]:((~old(X)&tall(X))<=>(~calm(X)&~tall(X))))&
(((~kind(john)|~strong(john)))<=>((~kind(fred)<~>wise(fred))))&
(![X]:((~funny(X)<~>patient(X))=>(~humble(... | ~wise(mary) | [
"p1",
"p3",
"p6",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1121955143453414744511048
% SZS output start Proof for 1121955143453414744511048
2. ! [X0] : ((~humble(X0) | happy(X0)) => (humble(X0) | patient(X0))) [input p1]
4. ! [X0] : ((tall(X0) & ~old(X0)) <=> (~tall(X0) & ~calm(X0))) [input p3]
7. ! [X0] : ((happy(X0) <~> calm(X0)) => tall(X0)) [... | 0 |
If someone is both not patient and not creative then alice is curious or not tall and vice versa. Everyone who is wise or patient is both old and happy and vice versa. If someone is kind then someone is either old or quiet. If someone is not funny or generous then someone is patient. Everyone who is either funny or gen... | Paul is not rich. | entailment | ((?[X]:((~patient(X)&~creative(X))))<=>((curious(alice)|~tall(alice))))&
(![X]:((wise(X)|patient(X))<=>(old(X)&happy(X))))&
((?[X]:(kind(X)))=>(?[X]:((old(X)<~>quiet(X)))))&
((?[X]:((~funny(X)|generous(X))))=>(?[X]:(patient(X))))&
(![X]:((funny(X)<~>generous(X))=>(creative(X)|~creative(X))))&
((?[X]:((~funny(X)<~>~curi... | ~rich(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5224775826848123164544377
% SZS output start Proof for 5224775826848123164544377
9. (~rich(paul) & funny(paul)) <=> ? [X0] : (funny(X0) | ~funny(X0)) [input p8]
24. rich(paul) [input hypothesis]
62. ((~rich(paul) & funny(paul)) | ! [X0] : (~funny(X0) & funny(X0))) & (? [X0] : (funny(X0) |... | 0 |
Everyone who is either strong or generous is both not old and not quiet and vice versa.
If someone is either not old or tall then lucy is either not quiet or quiet.
Everyone who is both strong and generous is both not rich and generous and vice versa.
If someone is either not rich or wise then someone is either not qui... | Susan is not humble. | entailment | (![X]:((strong(X)<~>generous(X))<=>(~old(X)&~quiet(X))))&
((?[X]:((~old(X)<~>tall(X))))=>((~quiet(lucy)<~>quiet(lucy))))&
(![X]:((strong(X)&generous(X))<=>(~rich(X)&generous(X))))&
((?[X]:((~rich(X)<~>wise(X))))<=>(?[X]:((~quiet(X)<~>kind(X)))))&
(((tall(john)&old(john)))<=>(?[X]:(patient(X))))&
(![X]:((curious(X)|~cal... | ~humble(susan) | [
"p5",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2306616935835585108517411
% SZS output start Proof for 2306616935835585108517411
6. ! [X0] : ((~calm(X0) | curious(X0)) => (~kind(X0) & ~humble(X0))) [input p5]
9. ! [X0] : (wise(X0) => curious(X0)) [input p8]
24. wise(susan) [input p23]
25. humble(susan) [input hypothesis]
31. ! [X0] : (... | 0 |
Everyone who is both not generous and happy is both not happy and rich and vice versa.
Everyone who is both not generous and rich is not kind or old and vice versa.
Everyone who is creative or not strong is not calm or not happy.
If someone is either not kind or patient then susan is both not happy and wise.
Everyone w... | Mary is not calm. | neutral | (![X]:((~generous(X)&happy(X))<=>(~happy(X)&rich(X))))&
(![X]:((~generous(X)&rich(X))<=>(~kind(X)|old(X))))&
(![X]:((creative(X)|~strong(X))=>(~calm(X)|~happy(X))))&
((?[X]:((~kind(X)<~>patient(X))))=>((~happy(susan)&wise(susan))))&
(![X]:(old(X)=>(~strong(X)&strong(X))))&
(![X]:(happy(X)=>(~humble(X)<~>~happy(X))))&
(... | ~calm(mary) | [] | null | 0 |
If john is not happy or patient then lucy is humble or not patient and vice versa.
Everyone who is either not kind or not humble is both generous and rich.
If someone is either happy or calm then someone is both funny and old.
Everyone who is rich or humble is both happy and not strong.
If someone is old or generous th... | Lucy is not calm. | entailment | (((~happy(john)|patient(john)))<=>((humble(lucy)|~patient(lucy))))&
(![X]:((~kind(X)<~>~humble(X))=>(generous(X)&rich(X))))&
((?[X]:((happy(X)<~>calm(X))))=>(?[X]:((funny(X)&old(X)))))&
(![X]:((rich(X)|humble(X))=>(happy(X)&~strong(X))))&
((?[X]:((old(X)|generous(X))))<=>(generous(lucy)))&
(![X]:((brave(X)&creative(X))... | ~calm(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3158294125866450119767045
% SZS output start Proof for 3158294125866450119767045
7. ! [X0] : ((calm(X0) | ~brave(X0)) <=> ~calm(X0)) [input p6]
24. calm(lucy) [input hypothesis]
44. ! [X0] : (((calm(X0) | ~brave(X0)) | calm(X0)) & (~calm(X0) | (~calm(X0) & brave(X0)))) [nnf transformation... | 0 |
If someone is either kind or not rich then alice is not rich and vice versa. If someone is rich or not creative then someone is humble or wise and vice versa. If someone is both curious and tall then susan is either old or quiet and vice versa. Everyone who is not old is not tall and vice versa. Everyone who is both wi... | John is not wise. | entailment | ((?[X]:((kind(X)<~>~rich(X))))<=>(~rich(alice)))&
((?[X]:((rich(X)|~creative(X))))<=>(?[X]:((humble(X)|wise(X)))))&
((?[X]:((curious(X)&tall(X))))<=>((old(susan)<~>quiet(susan))))&
(![X]:(~old(X)<=>~tall(X)))&
(![X]:((wise(X)&strong(X))=>(~generous(X)<~>~old(X))))&
((?[X]:(~kind(X)))=>((old(john)&~wise(john))))&
(![X]:... | ~wise(john) | [
"p0",
"p3",
"p5",
"p6",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4642128658305888745816575
% SZS output start Proof for 4642128658305888745816575
1. ? [X0] : (kind(X0) <~> ~rich(X0)) <=> ~rich(alice) [input p0]
4. ! [X0] : (~old(X0) <=> ~tall(X0)) [input p3]
6. ? [X0] : ~kind(X0) => (~wise(john) & old(john)) [input p5]
7. ! [X0] : ((tall(X0) | ~creativ... | 0 |
Everyone who is not rich or rich is not humble. If mary is not funny then mary is either not happy or not generous. If someone is both not strong and not happy then someone is both brave and not creative and vice versa. Everyone who is not kind or not old is either humble or not happy. Everyone who is either not happy ... | Paul is funny. | entailment | (![X]:((~rich(X)|rich(X))=>~humble(X)))&
((~funny(mary))=>((~happy(mary)<~>~generous(mary))))&
((?[X]:((~strong(X)&~happy(X))))<=>(?[X]:((brave(X)&~creative(X)))))&
(![X]:((~kind(X)|~old(X))=>(humble(X)<~>~happy(X))))&
(![X]:((~happy(X)<~>old(X))<=>(tall(X)<~>~rich(X))))&
(![X]:(humble(X)<=>(tall(X)&~wise(X))))&
((?[X]... | funny(paul) | [
"p0",
"p11",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5817753734443102746310299
% SZS output start Proof for 5817753734443102746310299
1. ! [X0] : ((rich(X0) | ~rich(X0)) => ~humble(X0)) [input p0]
12. ! [X0] : (~calm(X0) => (~funny(X0) <~> ~creative(X0))) [input p11]
14. ! [X0] : (~patient(X0) <=> (happy(X0) | creative(X0))) [input p13]
15.... | 0 |
If someone is both generous and tall then someone is either old or wise and vice versa.
If someone is either not calm or not brave then someone is both happy and not rich and vice versa.
Everyone who is either not funny or rich is either not creative or humble and vice versa.
If someone is either not humble or generous... | Lucy is patient. | entailment | ((?[X]:((generous(X)&tall(X))))<=>(?[X]:((old(X)<~>wise(X)))))&
((?[X]:((~calm(X)<~>~brave(X))))<=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:((~funny(X)<~>rich(X))<=>(~creative(X)<~>humble(X))))&
((?[X]:((~humble(X)<~>generous(X))))<=>(?[X]:((~brave(X)&calm(X)))))&
(![X]:((~funny(X)<~>funny(X))<=>(~creative(X)|strong(X))))&... | patient(lucy) | [
"p2",
"p4",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8257386094888552156507752
% SZS output start Proof for 8257386094888552156507752
3. ! [X0] : ((~funny(X0) <~> rich(X0)) <=> (~creative(X0) <~> humble(X0))) [input p2]
5. ! [X0] : ((~funny(X0) <~> funny(X0)) <=> (strong(X0) | ~creative(X0))) [input p4]
8. ! [X0] : ((funny(X0) & patient(X0)... | 0 |
Everyone who is old is both not curious and not kind and vice versa.
If someone is both not strong and not creative then someone is not strong or rich.
If paul is either not tall or rich then someone is either not curious or kind and vice versa.
Everyone who is not patient is funny or creative and vice versa.
Everyone ... | Paul is rich. | neutral | (![X]:(old(X)<=>(~curious(X)&~kind(X))))&
((?[X]:((~strong(X)&~creative(X))))=>(?[X]:((~strong(X)|rich(X)))))&
(((~tall(paul)<~>rich(paul)))<=>(?[X]:((~curious(X)<~>kind(X)))))&
(![X]:(~patient(X)<=>(funny(X)|creative(X))))&
(![X]:((happy(X)|~curious(X))<=>~strong(X)))&
((?[X]:((~strong(X)|funny(X))))=>((~strong(john)&... | rich(paul) | [] | null | 0 |
Everyone who is strong is either tall or curious and vice versa.
Everyone who is brave or not happy is either generous or not old and vice versa.
Everyone who is either quiet or rich is both kind and not tall.
Everyone who is not happy is either not generous or old and vice versa.
Everyone who is rich or not curious is... | Paul is tall. | contradiction | (![X]:(strong(X)<=>(tall(X)<~>curious(X))))&
(![X]:((brave(X)|~happy(X))<=>(generous(X)<~>~old(X))))&
(![X]:((quiet(X)<~>rich(X))=>(kind(X)&~tall(X))))&
(![X]:(~happy(X)<=>(~generous(X)<~>old(X))))&
(![X]:((rich(X)|~curious(X))=>(~strong(X)&~happy(X))))&
((?[X]:(~patient(X)))=>(~curious(susan)))&
(![X]:((~calm(X)<~>~ha... | tall(paul) | [
"p4",
"p8",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7631010745415743617519999
% SZS output start Proof for 7631010745415743617519999
5. ! [X0] : ((~curious(X0) | rich(X0)) => (~happy(X0) & ~strong(X0))) [input p4]
9. ! [X0] : ((generous(X0) | ~happy(X0)) => funny(X0)) [input p8]
15. ~tall(paul) <=> ? [X0] : (quiet(X0) | curious(X0)) [input... | 0 |
If alice is wise or not patient then john is either not brave or not tall.
Everyone who is funny is not curious or strong and vice versa.
Everyone who is either not humble or not calm is curious.
If alice is not funny then someone is both curious and strong and vice versa.
Everyone who is not tall or calm is either not... | Alice is funny. | neutral | (((wise(alice)|~patient(alice)))=>((~brave(john)<~>~tall(john))))&
(![X]:(funny(X)<=>(~curious(X)|strong(X))))&
(![X]:((~humble(X)<~>~calm(X))=>curious(X)))&
((~funny(alice))<=>(?[X]:((curious(X)&strong(X)))))&
(![X]:((~tall(X)|calm(X))=>(~tall(X)<~>~humble(X))))&
(((kind(paul)<~>~old(paul)))<=>((~wise(fred)<~>old(fred... | funny(alice) | [] | null | 0 |
If john is both not patient and not strong then paul is either kind or not generous. Everyone who is both not patient and not strong is patient or not quiet. Everyone who is not generous is either generous or not brave. If paul is curious or not quiet then someone is kind or not generous and vice versa. If fred is quie... | Alice is kind. | contradiction | (((~patient(john)&~strong(john)))=>((kind(paul)<~>~generous(paul))))&
(![X]:((~patient(X)&~strong(X))=>(patient(X)|~quiet(X))))&
(![X]:(~generous(X)=>(generous(X)<~>~brave(X))))&
(((curious(paul)|~quiet(paul)))<=>(?[X]:((kind(X)|~generous(X)))))&
(((quiet(fred)|happy(fred)))=>(?[X]:((~patient(X)|brave(X)))))&
(![X]:((q... | kind(alice) | [
"p1",
"p3",
"p5",
"p6",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6953788978150265734421893
% SZS output start Proof for 6953788978150265734421893
2. ! [X0] : ((~strong(X0) & ~patient(X0)) => (~quiet(X0) | patient(X0))) [input p1]
4. (~quiet(paul) | curious(paul)) <=> ? [X0] : (~generous(X0) | kind(X0)) [input p3]
6. ! [X0] : ((quiet(X0) <~> creative(X0... | 0 |
Everyone who is both not quiet and not old is both not calm and not creative.
Everyone who is not strong is calm and vice versa.
Everyone who is tall or not strong is creative.
If alice is not strong then john is both humble and not curious.
If someone is both not happy and quiet then someone is both brave and not old.... | Mary is not funny. | entailment | (![X]:((~quiet(X)&~old(X))=>(~calm(X)&~creative(X))))&
(![X]:(~strong(X)<=>calm(X)))&
(![X]:((tall(X)|~strong(X))=>creative(X)))&
((~strong(alice))=>((humble(john)&~curious(john))))&
((?[X]:((~happy(X)&quiet(X))))=>(?[X]:((brave(X)&~old(X)))))&
(![X]:((~humble(X)&generous(X))=>(generous(X)|patient(X))))&
(((humble(mary... | ~funny(mary) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4049785225568159523725236
% SZS output start Proof for 4049785225568159523725236
14. ? [X0] : (creative(X0) | ~creative(X0)) => (~funny(mary) & patient(mary)) [input p13]
25. funny(mary) [input hypothesis]
29. ? [X0] : (creative(X0) | ~creative(X0)) => ~funny(mary) [pure predicate removal... | 0 |
Everyone who is wise is either not curious or not old and vice versa.
If someone is happy then lucy is either not happy or humble and vice versa.
Everyone who is both not quiet and not patient is either old or not patient and vice versa.
Everyone who is both old and not brave is both not humble and not old.
Everyone wh... | Mary is generous. | neutral | (![X]:(wise(X)<=>(~curious(X)<~>~old(X))))&
((?[X]:(happy(X)))<=>((~happy(lucy)<~>humble(lucy))))&
(![X]:((~quiet(X)&~patient(X))<=>(old(X)<~>~patient(X))))&
(![X]:((old(X)&~brave(X))=>(~humble(X)&~old(X))))&
(![X]:((tall(X)&happy(X))<=>(brave(X)<~>~patient(X))))&
(((happy(alice)&curious(alice)))=>(?[X]:(~wise(X))))&
(... | generous(mary) | [] | null | 0 |
Everyone who is not funny is either not humble or generous. Everyone who is either old or not old is rich and vice versa. Everyone who is not strong or wise is not strong or humble. Everyone who is not brave or not rich is curious. If someone is either calm or happy then mary is curious. If paul is either not humble or... | Paul is strong. | neutral | (![X]:(~funny(X)=>(~humble(X)<~>generous(X))))&
(![X]:((old(X)<~>~old(X))<=>rich(X)))&
(![X]:((~strong(X)|wise(X))=>(~strong(X)|humble(X))))&
(![X]:((~brave(X)|~rich(X))=>curious(X)))&
((?[X]:((calm(X)<~>happy(X))))=>(curious(mary)))&
(((~humble(paul)<~>funny(paul)))<=>(~brave(john)))&
((?[X]:((strong(X)&brave(X))))<=>... | strong(paul) | [] | null | 0 |
Everyone who is wise is either creative or not funny.
Everyone who is wise is either not calm or not strong and vice versa.
If someone is both funny and not rich then someone is not wise.
Everyone who is not quiet is either calm or funny and vice versa.
If mary is either happy or quiet then someone is not quiet or calm... | Mary is funny. | entailment | (![X]:(wise(X)=>(creative(X)<~>~funny(X))))&
(![X]:(wise(X)<=>(~calm(X)<~>~strong(X))))&
((?[X]:((funny(X)&~rich(X))))=>(?[X]:(~wise(X))))&
(![X]:(~quiet(X)<=>(calm(X)<~>funny(X))))&
(((happy(mary)<~>quiet(mary)))<=>(?[X]:((~quiet(X)|calm(X)))))&
(![X]:((happy(X)&~old(X))=>(~funny(X)&humble(X))))&
(![X]:(~calm(X)<=>(cu... | funny(mary) | [
"p3",
"p4",
"p6",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2086569756692599197181527
% SZS output start Proof for 2086569756692599197181527
4. ! [X0] : (~quiet(X0) <=> (calm(X0) <~> funny(X0))) [input p3]
5. (happy(mary) <~> quiet(mary)) <=> ? [X0] : (calm(X0) | ~quiet(X0)) [input p4]
7. ! [X0] : (~calm(X0) <=> (~patient(X0) | curious(X0))) [inpu... | 0 |
If someone is funny then someone is not happy. Everyone who is not creative is generous and vice versa. Everyone who is wise or old is both not kind and not wise and vice versa. If lucy is both not brave and not tall then someone is both not funny and not quiet and vice versa. Everyone who is humble is both not calm an... | Mary is not creative. | entailment | ((?[X]:(funny(X)))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)<=>generous(X)))&
(![X]:((wise(X)|old(X))<=>(~kind(X)&~wise(X))))&
(((~brave(lucy)&~tall(lucy)))<=>(?[X]:((~funny(X)&~quiet(X)))))&
(![X]:(humble(X)=>(~calm(X)&~quiet(X))))&
((?[X]:((~rich(X)|happy(X))))<=>(quiet(susan)))&
(((~old(john)|strong(john)))=>(?[X]:(... | ~creative(mary) | [
"p1",
"p2",
"p4",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 527847478847929673106712
% SZS output start Proof for 527847478847929673106712
2. ! [X0] : (~creative(X0) <=> generous(X0)) [input p1]
3. ! [X0] : ((old(X0) | wise(X0)) <=> (~wise(X0) & ~kind(X0))) [input p2]
5. ! [X0] : (humble(X0) => (~quiet(X0) & ~calm(X0))) [input p4]
9. ! [X0] : (~wi... | 0 |
If someone is patient then fred is both not generous and rich.
Everyone who is either patient or brave is not tall.
Everyone who is either kind or not kind is both calm and not generous.
Everyone who is both brave and not calm is either not strong or not creative and vice versa.
Everyone who is either strong or not cur... | John is calm. | entailment | ((?[X]:(patient(X)))=>((~generous(fred)&rich(fred))))&
(![X]:((patient(X)<~>brave(X))=>~tall(X)))&
(![X]:((kind(X)<~>~kind(X))=>(calm(X)&~generous(X))))&
(![X]:((brave(X)&~calm(X))<=>(~strong(X)<~>~creative(X))))&
(![X]:((strong(X)<~>~curious(X))<=>(strong(X)&~wise(X))))&
(![X]:((strong(X)|~rich(X))<=>(rich(X)&~quiet(X... | calm(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3194928340294364798911246
% SZS output start Proof for 3194928340294364798911246
3. ! [X0] : ((kind(X0) <~> ~kind(X0)) => (~generous(X0) & calm(X0))) [input p2]
23. ~calm(john) [input hypothesis]
28. ! [X0] : ((~generous(X0) & calm(X0)) | (kind(X0) <=> ~kind(X0))) [ennf transformation 3]
... | 0 |
Everyone who is generous or tall is both not curious and old.
If someone is not creative then someone is both not tall and humble.
If someone is both old and funny then someone is either tall or not brave and vice versa.
If someone is tall then someone is old.
Everyone who is either patient or creative is not creative ... | John is quiet. | entailment | (![X]:((generous(X)|tall(X))=>(~curious(X)&old(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~tall(X)&humble(X)))))&
((?[X]:((old(X)&funny(X))))<=>(?[X]:((tall(X)<~>~brave(X)))))&
((?[X]:(tall(X)))=>(?[X]:(old(X))))&
(![X]:((patient(X)<~>creative(X))<=>(~creative(X)|~rich(X))))&
(![X]:(happy(X)=>~happy(X)))&
((~kind(alice))=>... | quiet(john) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5531279034241978398220875
% SZS output start Proof for 5531279034241978398220875
6. ! [X0] : (happy(X0) => ~happy(X0)) [input p5]
16. ! [X0] : ((quiet(X0) & ~patient(X0)) <=> (~happy(X0) | ~curious(X0))) [input p15]
25. ~quiet(john) [input hypothesis]
36. ! [X0] : (~happy(X0) | ~happy(X0)... | 0 |
Everyone who is not brave is either not strong or rich and vice versa.
If someone is either happy or generous then mary is both brave and not quiet and vice versa.
Everyone who is not strong is not wise and vice versa.
Everyone who is not quiet or not happy is both creative and not funny.
If someone is both quiet and n... | Mary is strong. | entailment | (![X]:(~brave(X)<=>(~strong(X)<~>rich(X))))&
((?[X]:((happy(X)<~>generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:((gen... | strong(mary) | [
"p2",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1756633489114416619677304
% SZS output start Proof for 1756633489114416619677304
3. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p2]
7. ! [X0] : ((~quiet(X0) | generous(X0)) => (wise(X0) & ~patient(X0))) [input p6]
12. ! [X0] : ((~humble(X0) & generous(X0)) <=> ~strong(X0)) [input p11]
21.... | 0 |
If someone is not brave then someone is either not brave or not wise and vice versa. Everyone who is quiet or not calm is either brave or kind and vice versa. Everyone who is not rich or brave is not creative and vice versa. Everyone who is both not patient and not curious is kind or brave. If fred is both wise and not... | Paul is not kind. | neutral | ((?[X]:(~brave(X)))<=>(?[X]:((~brave(X)<~>~wise(X)))))&
(![X]:((quiet(X)|~calm(X))<=>(brave(X)<~>kind(X))))&
(![X]:((~rich(X)|brave(X))<=>~creative(X)))&
(![X]:((~patient(X)&~curious(X))=>(kind(X)|brave(X))))&
(((wise(fred)&~rich(fred)))<=>(?[X]:((quiet(X)&old(X)))))&
(![X]:((patient(X)<~>~happy(X))=>(~creative(X)&~kin... | ~kind(paul) | [] | null | 0 |
Everyone who is curious or tall is not brave.
Everyone who is either wise or not rich is both creative and quiet and vice versa.
Everyone who is either humble or old is either kind or tall.
Everyone who is patient or not kind is both wise and not happy.
If someone is not strong then someone is both strong and brave.
Ev... | Susan is not strong. | contradiction | (![X]:((curious(X)|tall(X))=>~brave(X)))&
(![X]:((wise(X)<~>~rich(X))<=>(creative(X)&quiet(X))))&
(![X]:((humble(X)<~>old(X))=>(kind(X)<~>tall(X))))&
(![X]:((patient(X)|~kind(X))=>(wise(X)&~happy(X))))&
((?[X]:(~strong(X)))=>(?[X]:((strong(X)&brave(X)))))&
(![X]:((~tall(X)|~curious(X))<=>(~patient(X)&~strong(X))))&
(![... | ~strong(susan) | [
"p0",
"p4",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3037193763610201996441535
% SZS output start Proof for 3037193763610201996441535
1. ! [X0] : ((tall(X0) | curious(X0)) => ~brave(X0)) [input p0]
5. ? [X0] : ~strong(X0) => ? [X0] : (brave(X0) & strong(X0)) [input p4]
6. ! [X0] : ((~curious(X0) | ~tall(X0)) <=> (~strong(X0) & ~patient(X0))... | 0 |
Everyone who is either quiet or patient is either quiet or not strong and vice versa. If someone is both brave and not humble then alice is both not strong and not happy and vice versa. Everyone who is either curious or not tall is not brave and vice versa. Everyone who is tall is either not kind or kind. Everyone who ... | Lucy is rich. | contradiction | (![X]:((quiet(X)<~>patient(X))<=>(quiet(X)<~>~strong(X))))&
((?[X]:((brave(X)&~humble(X))))<=>((~strong(alice)&~happy(alice))))&
(![X]:((curious(X)<~>~tall(X))<=>~brave(X)))&
(![X]:(tall(X)=>(~kind(X)<~>kind(X))))&
(![X]:((happy(X)|~funny(X))<=>(~tall(X)|~humble(X))))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(((curious... | rich(lucy) | [
"p0",
"p2",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6240509761881742765872027
% SZS output start Proof for 6240509761881742765872027
1. ! [X0] : ((quiet(X0) <~> patient(X0)) <=> (quiet(X0) <~> ~strong(X0))) [input p0]
3. ! [X0] : ((curious(X0) <~> ~tall(X0)) <=> ~brave(X0)) [input p2]
7. (~quiet(paul) & curious(paul)) <=> ? [X0] : (rich(X0... | 0 |
Everyone who is both not curious and not generous is not calm. If someone is not kind or wise then someone is not calm or not generous and vice versa. If paul is not happy or generous then mary is either not happy or wise. If someone is both not brave and wise then someone is brave. Everyone who is both wise and funny ... | Fred is old. | contradiction | (![X]:((~curious(X)&~generous(X))=>~calm(X)))&
((?[X]:((~kind(X)|wise(X))))<=>(?[X]:((~calm(X)|~generous(X)))))&
(((~happy(paul)|generous(paul)))=>((~happy(mary)<~>wise(mary))))&
((?[X]:((~brave(X)&wise(X))))=>(?[X]:(brave(X))))&
(![X]:((wise(X)&funny(X))<=>(~tall(X)&~kind(X))))&
((?[X]:(~brave(X)))=>((~old(susan)|curi... | old(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4663455632560171583533871
% SZS output start Proof for 4663455632560171583533871
19. ~old(fred) [input p18]
25. old(fred) [input hypothesis]
130. ~old(fred) [cnf transformation 19]
141. old(fred) [cnf transformation 25]
320. $false [subsumption resolution 141,130]
% SZS output end Proof f... | 0 |
Everyone who is not funny is brave and vice versa.
If someone is not kind or old then someone is creative.
Everyone who is both kind and not kind is either not brave or curious.
Everyone who is both patient and not happy is either quiet or happy and vice versa.
If fred is either quiet or old then paul is both happy and... | John is humble. | entailment | (![X]:(~funny(X)<=>brave(X)))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(creative(X))))&
(![X]:((kind(X)&~kind(X))=>(~brave(X)<~>curious(X))))&
(![X]:((patient(X)&~happy(X))<=>(quiet(X)<~>happy(X))))&
(((quiet(fred)<~>old(fred)))<=>((happy(paul)&wise(paul))))&
(![X]:(generous(X)<=>(curious(X)<~>wise(X))))&
((?[X]:((~patient(... | humble(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 266664074047033151445340
% SZS output start Proof for 266664074047033151445340
11. ! [X0] : ((curious(X0) & humble(X0)) <=> (~patient(X0) | ~humble(X0))) [input p10]
24. ~humble(john) [input hypothesis]
53. ! [X0] : (((curious(X0) & humble(X0)) | (patient(X0) & humble(X0))) & ((~patient(X... | 0 |
Everyone who is generous is not rich or not kind.
Everyone who is both humble and not brave is both not patient and not generous.
Everyone who is either curious or not curious is both funny and creative.
If paul is both calm and old then alice is not strong.
If paul is both quiet and not rich then someone is not genero... | Alice is brave. | contradiction | (![X]:(generous(X)=>(~rich(X)|~kind(X))))&
(![X]:((humble(X)&~brave(X))=>(~patient(X)&~generous(X))))&
(![X]:((curious(X)<~>~curious(X))=>(funny(X)&creative(X))))&
(((calm(paul)&old(paul)))=>(~strong(alice)))&
(((quiet(paul)&~rich(paul)))<=>(?[X]:((~generous(X)|quiet(X)))))&
((?[X]:((~strong(X)&~rich(X))))<=>(?[X]:((pa... | brave(alice) | [
"p2",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6176229613531902833722967
% SZS output start Proof for 6176229613531902833722967
3. ! [X0] : ((curious(X0) <~> ~curious(X0)) => (creative(X0) & funny(X0))) [input p2]
8. ! [X0] : (brave(X0) <=> curious(X0)) [input p7]
12. ? [X0] : (creative(X0) & curious(X0)) <=> ? [X0] : (~funny(X0) & ~b... | 0 |
If susan is both brave and wise then someone is not quiet.
If alice is either funny or not quiet then lucy is either humble or quiet.
If someone is kind or not patient then someone is generous or brave and vice versa.
If alice is not creative or happy then mary is either not kind or not strong and vice versa.
Everyone ... | Lucy is not generous. | entailment | (((brave(susan)&wise(susan)))=>(?[X]:(~quiet(X))))&
(((funny(alice)<~>~quiet(alice)))=>((humble(lucy)<~>quiet(lucy))))&
((?[X]:((kind(X)|~patient(X))))<=>(?[X]:((generous(X)|brave(X)))))&
(((~creative(alice)|happy(alice)))<=>((~kind(mary)<~>~strong(mary))))&
(![X]:((brave(X)&~humble(X))<=>~kind(X)))&
(((~curious(paul)|... | ~generous(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7387681016623767569996605
% SZS output start Proof for 7387681016623767569996605
8. ! [X0] : ((generous(X0) | wise(X0)) <=> (humble(X0) & ~generous(X0))) [input p7]
24. generous(lucy) [input hypothesis]
51. ! [X0] : (((generous(X0) | wise(X0)) | (~humble(X0) | generous(X0))) & ((humble(X0... | 0 |
If fred is both not creative and funny then john is either not brave or not funny and vice versa. If someone is both kind and funny then someone is both patient and not tall. Everyone who is not kind or not creative is both calm and not patient and vice versa. Everyone who is generous or not kind is either not generous... | Alice is not humble. | entailment | (((~creative(fred)&funny(fred)))<=>((~brave(john)<~>~funny(john))))&
((?[X]:((kind(X)&funny(X))))=>(?[X]:((patient(X)&~tall(X)))))&
(![X]:((~kind(X)|~creative(X))<=>(calm(X)&~patient(X))))&
(![X]:((generous(X)|~kind(X))=>(~generous(X)<~>~brave(X))))&
(((kind(alice)&funny(alice)))<=>(~calm(alice)))&
(![X]:((~patient(X)&... | ~humble(alice) | [
"p2",
"p4",
"p5",
"p9",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 683204136955757807281348
% SZS output start Proof for 683204136955757807281348
3. ! [X0] : ((~creative(X0) | ~kind(X0)) <=> (~patient(X0) & calm(X0))) [input p2]
5. (funny(alice) & kind(alice)) <=> ~calm(alice) [input p4]
6. ! [X0] : ((humble(X0) & ~patient(X0)) <=> funny(X0)) [input p5]
... | 0 |
Everyone who is curious is either curious or not kind.
If mary is either not quiet or strong then someone is both patient and not rich.
Everyone who is either not rich or generous is either not patient or strong and vice versa.
If mary is both happy and generous then susan is both old and curious and vice versa.
Everyo... | Alice is not calm. | entailment | (![X]:(curious(X)=>(curious(X)<~>~kind(X))))&
(((~quiet(mary)<~>strong(mary)))=>(?[X]:((patient(X)&~rich(X)))))&
(![X]:((~rich(X)<~>generous(X))<=>(~patient(X)<~>strong(X))))&
(((happy(mary)&generous(mary)))<=>((old(susan)&curious(susan))))&
(![X]:((~happy(X)<~>calm(X))<=>(generous(X)<~>~creative(X))))&
(![X]:((~funny(... | ~calm(alice) | [
"p4",
"p10",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3827686464900959789503152
% SZS output start Proof for 3827686464900959789503152
5. ! [X0] : ((~happy(X0) <~> calm(X0)) <=> (generous(X0) <~> ~creative(X0))) [input p4]
11. ! [X0] : ((~creative(X0) | quiet(X0)) => happy(X0)) [input p10]
12. ! [X0] : ((calm(X0) & generous(X0)) <=> (calm(X0... | 0 |
If susan is either not humble or old then mary is both not humble and not generous and vice versa.
Everyone who is kind or not patient is both old and creative.
Everyone who is both not creative and not calm is creative.
Everyone who is not generous or not kind is not calm or wise and vice versa.
Everyone who is both n... | Mary is not creative. | contradiction | (((~humble(susan)<~>old(susan)))<=>((~humble(mary)&~generous(mary))))&
(![X]:((kind(X)|~patient(X))=>(old(X)&creative(X))))&
(![X]:((~creative(X)&~calm(X))=>creative(X)))&
(![X]:((~generous(X)|~kind(X))<=>(~calm(X)|wise(X))))&
(![X]:((~patient(X)&happy(X))=>(~quiet(X)&~brave(X))))&
(![X]:(~strong(X)=>(old(X)&kind(X))))... | ~creative(mary) | [
"p1",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1342607482129295310697878
% SZS output start Proof for 1342607482129295310697878
2. ! [X0] : ((~patient(X0) | kind(X0)) => (creative(X0) & old(X0))) [input p1]
23. tall(mary) & kind(mary) [input p22]
24. ~creative(mary) [input hypothesis]
28. ! [X0] : ((creative(X0) & old(X0)) | (patient(... | 0 |
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