premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either happy or not brave then susan is wise or not creative. If someone is either not funny or strong then someone is both tall and creative and vice versa. If someone is both not happy and wise then someone is both not curious and not creative. If someone is both strong and quiet then someone is not gen... | Fred is strong. | contradiction | ((?[X]:((happy(X)<~>~brave(X))))=>((wise(susan)|~creative(susan))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((tall(X)&creative(X)))))&
((?[X]:((~happy(X)&wise(X))))=>(?[X]:((~curious(X)&~creative(X)))))&
((?[X]:((strong(X)&quiet(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(~humble(X)=>(~funny(X)<~>~quiet(X))))... | strong(fred) | [
"p3",
"p5",
"p7",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7529182697904902410988150
% SZS output start Proof for 7529182697904902410988150
4. ? [X0] : (quiet(X0) & strong(X0)) <=> ? [X0] : (~happy(X0) | ~generous(X0)) [input p3]
6. ? [X0] : (~generous(X0) | ~patient(X0)) <=> ? [X0] : (~generous(X0) <~> wise(X0)) [input p5]
8. ! [X0] : ((~strong(... | 0 |
Everyone who is creative is not humble or not funny and vice versa.
Everyone who is not curious or quiet is both not curious and quiet and vice versa.
If someone is either humble or not old then someone is not happy or happy.
Everyone who is not funny is generous or funny.
Everyone who is either quiet or not quiet is b... | Susan is quiet. | entailment | (![X]:(creative(X)<=>(~humble(X)|~funny(X))))&
(![X]:((~curious(X)|quiet(X))<=>(~curious(X)&quiet(X))))&
((?[X]:((humble(X)<~>~old(X))))=>(?[X]:((~happy(X)|happy(X)))))&
(![X]:(~funny(X)=>(generous(X)|funny(X))))&
(![X]:((quiet(X)<~>~quiet(X))=>(kind(X)&rich(X))))&
((~happy(john))<=>(?[X]:((~humble(X)|brave(X)))))&
((~... | quiet(susan) | [
"p0",
"p3",
"p4",
"p8",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 633396751512026246794887
% SZS output start Proof for 633396751512026246794887
1. ! [X0] : (creative(X0) <=> (~funny(X0) | ~humble(X0))) [input p0]
4. ! [X0] : (~funny(X0) => (funny(X0) | generous(X0))) [input p3]
5. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (rich(X0) & kind(X0))) [input p4... | 0 |
If fred is either tall or not wise then lucy is funny. Everyone who is both curious and not wise is tall. Everyone who is patient or not creative is not generous or not old and vice versa. Everyone who is not generous is patient or not rich and vice versa. If lucy is both not patient and creative then someone is calm. ... | Mary is not humble. | contradiction | (((tall(fred)<~>~wise(fred)))=>(funny(lucy)))&
(![X]:((curious(X)&~wise(X))=>tall(X)))&
(![X]:((patient(X)|~creative(X))<=>(~generous(X)|~old(X))))&
(![X]:(~generous(X)<=>(patient(X)|~rich(X))))&
(((~patient(lucy)&creative(lucy)))=>(?[X]:(calm(X))))&
(![X]:(~humble(X)=>(~creative(X)<~>~tall(X))))&
(((calm(paul)<~>~stro... | ~humble(mary) | [
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5382663681165464917694722
% SZS output start Proof for 5382663681165464917694722
11. ! [X0] : (creative(X0) <=> (humble(X0) & quiet(X0))) [input p10]
12. (creative(mary) & ~kind(mary)) <=> ? [X0] : (happy(X0) | ~kind(X0)) [input p11]
21. ? [X0] : (brave(X0) & happy(X0)) [input p20]
25. ~h... | 0 |
If alice is either not rich or creative then someone is not old or quiet and vice versa.
Everyone who is either not curious or not strong is both strong and brave.
Everyone who is old or not kind is not humble and vice versa.
If someone is either humble or not humble then someone is either wise or not wise and vice ver... | Alice is not generous. | neutral | (((~rich(alice)<~>creative(alice)))<=>(?[X]:((~old(X)|quiet(X)))))&
(![X]:((~curious(X)<~>~strong(X))=>(strong(X)&brave(X))))&
(![X]:((old(X)|~kind(X))<=>~humble(X)))&
((?[X]:((humble(X)<~>~humble(X))))<=>(?[X]:((wise(X)<~>~wise(X)))))&
(((humble(paul)&rich(paul)))<=>(?[X]:((wise(X)&~wise(X)))))&
(((~humble(john)<~>~cr... | ~generous(alice) | [] | null | 0 |
Everyone who is brave or not strong is creative or not creative and vice versa. Everyone who is both not quiet and generous is either tall or strong and vice versa. Everyone who is not curious or not calm is either strong or not humble. If someone is not happy then john is either not happy or tall and vice versa. If so... | Paul is not brave. | entailment | (![X]:((brave(X)|~strong(X))<=>(creative(X)|~creative(X))))&
(![X]:((~quiet(X)&generous(X))<=>(tall(X)<~>strong(X))))&
(![X]:((~curious(X)|~calm(X))=>(strong(X)<~>~humble(X))))&
((?[X]:(~happy(X)))<=>((~happy(john)<~>tall(john))))&
((?[X]:((~kind(X)<~>tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((humble(X)&~funny(X))<=>(~s... | ~brave(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3415873800326390791363150
% SZS output start Proof for 3415873800326390791363150
12. ! [X0] : ((~generous(X0) | generous(X0)) <=> (~wise(X0) & ~brave(X0))) [input p11]
22. brave(paul) [input hypothesis]
57. ! [X0] : (((~generous(X0) | generous(X0)) | (wise(X0) | brave(X0))) & ((~wise(X0) ... | 0 |
If mary is both not rich and not humble then lucy is either wise or patient and vice versa.
Everyone who is tall or not humble is not generous.
Everyone who is either not generous or old is both not kind and patient.
Everyone who is both not patient and not quiet is funny or not strong and vice versa.
Everyone who is b... | John is happy. | entailment | (((~rich(mary)&~humble(mary)))<=>((wise(lucy)<~>patient(lucy))))&
(![X]:((tall(X)|~humble(X))=>~generous(X)))&
(![X]:((~generous(X)<~>old(X))=>(~kind(X)&patient(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(funny(X)|~strong(X))))&
(![X]:((patient(X)&~quiet(X))=>(tall(X)|kind(X))))&
(![X]:((~happy(X)<~>wise(X))=>(wise(X)&bra... | happy(john) | [
"p1",
"p2",
"p9",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5176068227888911086178973
% SZS output start Proof for 5176068227888911086178973
2. ! [X0] : ((~humble(X0) | tall(X0)) => ~generous(X0)) [input p1]
3. ! [X0] : ((~generous(X0) <~> old(X0)) => (patient(X0) & ~kind(X0))) [input p2]
10. ! [X0] : ((quiet(X0) <~> ~kind(X0)) <=> (~kind(X0) | ol... | 0 |
Everyone who is both not quiet and not happy is both not strong and kind and vice versa.
If paul is either not patient or humble then john is humble or not brave and vice versa.
If susan is either quiet or not calm then someone is humble.
If someone is not strong or tall then someone is not strong.
Everyone who is both... | Susan is kind. | neutral | (![X]:((~quiet(X)&~happy(X))<=>(~strong(X)&kind(X))))&
(((~patient(paul)<~>humble(paul)))<=>((humble(john)|~brave(john))))&
(((quiet(susan)<~>~calm(susan)))=>(?[X]:(humble(X))))&
((?[X]:((~strong(X)|tall(X))))=>(?[X]:(~strong(X))))&
(![X]:((~generous(X)&creative(X))=>~calm(X)))&
((?[X]:((~old(X)|quiet(X))))<=>(?[X]:(~k... | kind(susan) | [] | null | 0 |
If someone is either strong or curious then susan is both strong and not strong and vice versa.
Everyone who is not generous is not wise.
Everyone who is both not rich and tall is not generous.
Everyone who is either not funny or rich is patient.
Everyone who is both kind and not generous is either not calm or rich and... | Alice is old. | contradiction | ((?[X]:((strong(X)<~>curious(X))))<=>((strong(susan)&~strong(susan))))&
(![X]:(~generous(X)=>~wise(X)))&
(![X]:((~rich(X)&tall(X))=>~generous(X)))&
(![X]:((~funny(X)<~>rich(X))=>patient(X)))&
(![X]:((kind(X)&~generous(X))<=>(~calm(X)<~>rich(X))))&
(![X]:(~generous(X)<=>patient(X)))&
(![X]:(creative(X)<=>(rich(X)<~>~qui... | old(alice) | [
"p1",
"p7",
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8763891025380252116321301
% SZS output start Proof for 8763891025380252116321301
2. ! [X0] : (~generous(X0) => ~wise(X0)) [input p1]
8. ? [X0] : (~happy(X0) | kind(X0)) <=> ? [X0] : (~humble(X0) & ~generous(X0)) [input p7]
11. ! [X0] : ((~brave(X0) & generous(X0)) <=> (~humble(X0) & ~wise... | 0 |
Everyone who is not strong or not funny is kind. Everyone who is both not happy and quiet is not happy or humble and vice versa. If someone is either humble or not brave then paul is either not happy or funny and vice versa. Everyone who is either not patient or kind is rich. If someone is not calm then fred is both no... | Alice is generous. | contradiction | (![X]:((~strong(X)|~funny(X))=>kind(X)))&
(![X]:((~happy(X)&quiet(X))<=>(~happy(X)|humble(X))))&
((?[X]:((humble(X)<~>~brave(X))))<=>((~happy(paul)<~>funny(paul))))&
(![X]:((~patient(X)<~>kind(X))=>rich(X)))&
((?[X]:(~calm(X)))<=>((~funny(fred)&~curious(fred))))&
((?[X]:(strong(X)))<=>(?[X]:((patient(X)|~happy(X)))))&
... | generous(alice) | [
"p0",
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2237725302854081186525163
% SZS output start Proof for 2237725302854081186525163
1. ! [X0] : ((~funny(X0) | ~strong(X0)) => kind(X0)) [input p0]
7. ? [X0] : (~humble(X0) & kind(X0)) <=> (kind(alice) & ~generous(alice)) [input p6]
22. ? [X0] : (~strong(X0) & ~humble(X0)) [input p21]
25. ge... | 0 |
Everyone who is not rich is brave or kind and vice versa.
Everyone who is humble or not curious is either not brave or not funny and vice versa.
Everyone who is both generous and strong is kind or patient and vice versa.
If fred is both brave and happy then someone is strong and vice versa.
If someone is old or funny t... | Mary is generous. | neutral | (![X]:(~rich(X)<=>(brave(X)|kind(X))))&
(![X]:((humble(X)|~curious(X))<=>(~brave(X)<~>~funny(X))))&
(![X]:((generous(X)&strong(X))<=>(kind(X)|patient(X))))&
(((brave(fred)&happy(fred)))<=>(?[X]:(strong(X))))&
((?[X]:((old(X)|funny(X))))=>(?[X]:((~humble(X)<~>~wise(X)))))&
((?[X]:((wise(X)&curious(X))))=>((~strong(paul)... | generous(mary) | [] | null | 0 |
Everyone who is either kind or not old is either curious or not rich. If someone is both not rich and not kind then mary is not old and vice versa. Everyone who is both not old and not curious is either rich or not happy and vice versa. Everyone who is either patient or not old is patient and vice versa. If susan is no... | Lucy is not generous. | neutral | (![X]:((kind(X)<~>~old(X))=>(curious(X)<~>~rich(X))))&
((?[X]:((~rich(X)&~kind(X))))<=>(~old(mary)))&
(![X]:((~old(X)&~curious(X))<=>(rich(X)<~>~happy(X))))&
(![X]:((patient(X)<~>~old(X))<=>patient(X)))&
((~calm(susan))<=>(?[X]:(~old(X))))&
(![X]:((~curious(X)&rich(X))=>~quiet(X)))&
(((funny(paul)|calm(paul)))<=>((~gen... | ~generous(lucy) | [] | null | 0 |
If someone is either old or rich then lucy is either happy or patient.
If someone is not kind then paul is both not strong and kind and vice versa.
Everyone who is both not tall and brave is not old and vice versa.
Everyone who is both not funny and wise is patient or rich.
Everyone who is either not kind or not old is... | Mary is brave. | contradiction | ((?[X]:((old(X)<~>rich(X))))=>((happy(lucy)<~>patient(lucy))))&
((?[X]:(~kind(X)))<=>((~strong(paul)&kind(paul))))&
(![X]:((~tall(X)&brave(X))<=>~old(X)))&
(![X]:((~funny(X)&wise(X))=>(patient(X)|rich(X))))&
(![X]:((~kind(X)<~>~old(X))<=>(~curious(X)&patient(X))))&
(![X]:((~curious(X)|~generous(X))<=>(curious(X)&~creat... | brave(mary) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 579858315922967960242558
% SZS output start Proof for 579858315922967960242558
2. ? [X0] : ~kind(X0) <=> (kind(paul) & ~strong(paul)) [input p1]
3. ! [X0] : ((brave(X0) & ~tall(X0)) <=> ~old(X0)) [input p2]
5. ! [X0] : ((~kind(X0) <~> ~old(X0)) <=> (patient(X0) & ~curious(X0))) [input p4]... | 0 |
If someone is either not quiet or not tall then someone is both not creative and not tall.
Everyone who is either not strong or creative is strong and vice versa.
If john is both not humble and tall then lucy is not quiet.
If someone is not rich then paul is either not brave or not humble.
Everyone who is happy is not ... | Paul is calm. | entailment | ((?[X]:((~quiet(X)<~>~tall(X))))=>(?[X]:((~creative(X)&~tall(X)))))&
(![X]:((~strong(X)<~>creative(X))<=>strong(X)))&
(((~humble(john)&tall(john)))=>(~quiet(lucy)))&
((?[X]:(~rich(X)))=>((~brave(paul)<~>~humble(paul))))&
(![X]:(happy(X)=>~curious(X)))&
(((wise(susan)<~>tall(susan)))<=>((~humble(alice)&~funny(alice))))&... | calm(paul) | [
"p1",
"p3",
"p7",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7229844224018693961863605
% SZS output start Proof for 7229844224018693961863605
2. ! [X0] : ((~strong(X0) <~> creative(X0)) <=> strong(X0)) [input p1]
4. ? [X0] : ~rich(X0) => (~brave(paul) <~> ~humble(paul)) [input p3]
8. ! [X0] : ((strong(X0) & ~calm(X0)) <=> (quiet(X0) & ~strong(X0)))... | 0 |
If someone is not rich or not funny then mary is kind.
Everyone who is quiet or not generous is not creative or happy and vice versa.
Everyone who is not generous or not brave is happy and vice versa.
If fred is both tall and not happy then mary is either not tall or not patient.
If someone is not patient or not happy ... | Mary is not rich. | contradiction | ((?[X]:((~rich(X)|~funny(X))))=>(kind(mary)))&
(![X]:((quiet(X)|~generous(X))<=>(~creative(X)|happy(X))))&
(![X]:((~generous(X)|~brave(X))<=>happy(X)))&
(((tall(fred)&~happy(fred)))=>((~tall(mary)<~>~patient(mary))))&
((?[X]:((~patient(X)|~happy(X))))=>((~happy(mary)&~funny(mary))))&
(![X]:((quiet(X)<~>~tall(X))=>(~cal... | ~rich(mary) | [
"p0",
"p8",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4472439403555817951514250
% SZS output start Proof for 4472439403555817951514250
1. ? [X0] : (~funny(X0) | ~rich(X0)) => kind(mary) [input p0]
9. ! [X0] : ((~creative(X0) <~> kind(X0)) => (rich(X0) <~> tall(X0))) [input p8]
11. ! [X0] : ((~creative(X0) | ~patient(X0)) <=> (~kind(X0) & ~pa... | 0 |
If someone is both calm and not kind then someone is not patient or rich and vice versa.
If someone is not generous or not wise then mary is either quiet or not humble and vice versa.
If someone is both not calm and not happy then someone is either not humble or not curious and vice versa.
If alice is not humble or not... | Alice is generous. | entailment | ((?[X]:((calm(X)&~kind(X))))<=>(?[X]:((~patient(X)|rich(X)))))&
((?[X]:((~generous(X)|~wise(X))))<=>((quiet(mary)<~>~humble(mary))))&
((?[X]:((~calm(X)&~happy(X))))<=>(?[X]:((~humble(X)<~>~curious(X)))))&
(((~humble(alice)|~strong(alice)))<=>((calm(paul)<~>~funny(paul))))&
(![X]:((~generous(X)|rich(X))<=>(happy(X)&gene... | generous(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1866406429497342872982209
% SZS output start Proof for 1866406429497342872982209
5. ! [X0] : ((rich(X0) | ~generous(X0)) <=> (generous(X0) & happy(X0))) [input p4]
25. ~generous(alice) [input hypothesis]
52. ! [X0] : (((rich(X0) | ~generous(X0)) | (~generous(X0) | ~happy(X0))) & ((generou... | 0 |
Everyone who is curious is either quiet or not happy and vice versa.
If someone is funny then paul is either not funny or not creative and vice versa.
Everyone who is both not tall and old is creative or not brave and vice versa.
If someone is either brave or not happy then someone is not patient.
If lucy is either not... | John is not brave. | neutral | (![X]:(curious(X)<=>(quiet(X)<~>~happy(X))))&
((?[X]:(funny(X)))<=>((~funny(paul)<~>~creative(paul))))&
(![X]:((~tall(X)&old(X))<=>(creative(X)|~brave(X))))&
((?[X]:((brave(X)<~>~happy(X))))=>(?[X]:(~patient(X))))&
(((~happy(lucy)<~>generous(lucy)))=>((kind(lucy)|~happy(lucy))))&
(![X]:((curious(X)<~>~patient(X))=>(~ol... | ~brave(john) | [] | null | 0 |
Everyone who is quiet or rich is both creative and generous and vice versa.
If someone is both not generous and humble then someone is either not curious or tall.
If someone is either funny or not calm then mary is curious and vice versa.
Everyone who is either tall or not quiet is both funny and happy.
If someone is n... | Fred is not creative. | contradiction | (![X]:((quiet(X)|rich(X))<=>(creative(X)&generous(X))))&
((?[X]:((~generous(X)&humble(X))))=>(?[X]:((~curious(X)<~>tall(X)))))&
((?[X]:((funny(X)<~>~calm(X))))<=>(curious(mary)))&
(![X]:((tall(X)<~>~quiet(X))=>(funny(X)&happy(X))))&
((?[X]:((~quiet(X)|kind(X))))=>(?[X]:((quiet(X)&tall(X)))))&
(![X]:((tall(X)&~generous(... | ~creative(fred) | [
"p0",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6924017077394571806641441
% SZS output start Proof for 6924017077394571806641441
1. ! [X0] : ((rich(X0) | quiet(X0)) <=> (generous(X0) & creative(X0))) [input p0]
5. ? [X0] : (kind(X0) | ~quiet(X0)) => ? [X0] : (tall(X0) & quiet(X0)) [input p4]
12. ! [X0] : ((~tall(X0) <~> ~generous(X0)) ... | 0 |
Everyone who is not happy is either quiet or not curious. If someone is old or kind then someone is funny and vice versa. If someone is brave or generous then someone is either not patient or kind. Everyone who is strong or patient is calm. Everyone who is either humble or wise is not calm. If mary is either quiet or n... | Lucy is not wise. | contradiction | (![X]:(~happy(X)=>(quiet(X)<~>~curious(X))))&
((?[X]:((old(X)|kind(X))))<=>(?[X]:(funny(X))))&
((?[X]:((brave(X)|generous(X))))=>(?[X]:((~patient(X)<~>kind(X)))))&
(![X]:((strong(X)|patient(X))=>calm(X)))&
(![X]:((humble(X)<~>wise(X))=>~calm(X)))&
(((quiet(mary)<~>~calm(mary)))<=>(?[X]:((~generous(X)&brave(X)))))&
(![X... | ~wise(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3309938420619856608913848
% SZS output start Proof for 3309938420619856608913848
9. ! [X0] : ((~rich(X0) | rich(X0)) <=> (curious(X0) & wise(X0))) [input p8]
23. ~wise(lucy) [input hypothesis]
56. ! [X0] : (((~rich(X0) | rich(X0)) | (~curious(X0) | ~wise(X0))) & ((curious(X0) & wise(X0)) ... | 0 |
Everyone who is either not creative or not old is patient.
If someone is tall then someone is kind and vice versa.
Everyone who is humble or rich is either not strong or not happy.
Everyone who is either not generous or not creative is strong or wise and vice versa.
Everyone who is curious is not wise and vice versa.
E... | Susan is rich. | entailment | (![X]:((~creative(X)<~>~old(X))=>patient(X)))&
((?[X]:(tall(X)))<=>(?[X]:(kind(X))))&
(![X]:((humble(X)|rich(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((~generous(X)<~>~creative(X))<=>(strong(X)|wise(X))))&
(![X]:(curious(X)<=>~wise(X)))&
(![X]:((~old(X)&kind(X))=>(rich(X)&curious(X))))&
((?[X]:(~old(X)))=>((~curious(alic... | rich(susan) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2238576677710813695858254
% SZS output start Proof for 2238576677710813695858254
1. ! [X0] : ((~creative(X0) <~> ~old(X0)) => patient(X0)) [input p0]
4. ! [X0] : ((~generous(X0) <~> ~creative(X0)) <=> (wise(X0) | strong(X0))) [input p3]
5. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p4]
7... | 0 |
If fred is both rich and not wise then someone is rich or creative and vice versa.
Everyone who is rich is either strong or not curious.
Everyone who is not curious or funny is either not generous or tall and vice versa.
If paul is not kind then lucy is rich or not tall.
If someone is quiet then lucy is kind or not bra... | Mary is happy. | entailment | (((rich(fred)&~wise(fred)))<=>(?[X]:((rich(X)|creative(X)))))&
(![X]:(rich(X)=>(strong(X)<~>~curious(X))))&
(![X]:((~curious(X)|funny(X))<=>(~generous(X)<~>tall(X))))&
((~kind(paul))=>((rich(lucy)|~tall(lucy))))&
((?[X]:(quiet(X)))=>((kind(lucy)|~brave(lucy))))&
(![X]:((generous(X)&kind(X))=>rich(X)))&
((?[X]:((~wise(X... | happy(mary) | [
"p0",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2315613669259437345370997
% SZS output start Proof for 2315613669259437345370997
1. (~wise(fred) & rich(fred)) <=> ? [X0] : (creative(X0) | rich(X0)) [input p0]
7. ? [X0] : (~happy(X0) & ~wise(X0)) <=> ? [X0] : (funny(X0) & rich(X0)) [input p6]
11. ! [X0] : (wise(X0) <=> rich(X0)) [input ... | 0 |
If someone is either not generous or quiet then susan is not happy or not rich and vice versa. Everyone who is not generous is both not patient and funny. Everyone who is not curious or not humble is both not curious and not quiet. If someone is generous then someone is either not strong or humble. Everyone who is not ... | Susan is not wise. | entailment | ((?[X]:((~generous(X)<~>quiet(X))))<=>((~happy(susan)|~rich(susan))))&
(![X]:(~generous(X)=>(~patient(X)&funny(X))))&
(![X]:((~curious(X)|~humble(X))=>(~curious(X)&~quiet(X))))&
((?[X]:(generous(X)))=>(?[X]:((~strong(X)<~>humble(X)))))&
(![X]:((~old(X)|creative(X))<=>(curious(X)&~wise(X))))&
(![X]:(~kind(X)<=>(~rich(X)... | ~wise(susan) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8215453991902399173139051
% SZS output start Proof for 8215453991902399173139051
5. ! [X0] : ((creative(X0) | ~old(X0)) <=> (~wise(X0) & curious(X0))) [input p4]
17. creative(susan) & rich(susan) [input p16]
24. wise(susan) [input hypothesis]
50. ! [X0] : (((creative(X0) | ~old(X0)) | (wi... | 0 |
Everyone who is not tall or not calm is not quiet or humble.
Everyone who is not strong or kind is both calm and not kind and vice versa.
Everyone who is both not calm and calm is either not quiet or not creative and vice versa.
If mary is both not strong and not funny then lucy is either wise or rich and vice versa.
I... | Susan is calm. | entailment | (![X]:((~tall(X)|~calm(X))=>(~quiet(X)|humble(X))))&
(![X]:((~strong(X)|kind(X))<=>(calm(X)&~kind(X))))&
(![X]:((~calm(X)&calm(X))<=>(~quiet(X)<~>~creative(X))))&
(((~strong(mary)&~funny(mary)))<=>((wise(lucy)<~>rich(lucy))))&
(((calm(mary)&~brave(mary)))<=>((~quiet(paul)<~>patient(paul))))&
(((~humble(fred)&calm(fred)... | calm(susan) | [
"p1",
"p2",
"p6",
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2610309513778754054715234
% SZS output start Proof for 2610309513778754054715234
2. ! [X0] : ((kind(X0) | ~strong(X0)) <=> (~kind(X0) & calm(X0))) [input p1]
3. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (~quiet(X0) <~> ~creative(X0))) [input p2]
7. ! [X0] : ((~quiet(X0) & happy(X0)) <=> (~brav... | 0 |
Everyone who is old is either happy or creative.
Everyone who is either not old or not strong is generous or not happy and vice versa.
Everyone who is either not generous or generous is both curious and not calm and vice versa.
Everyone who is not patient is either creative or not strong and vice versa.
If lucy is eith... | Susan is patient. | contradiction | (![X]:(old(X)=>(happy(X)<~>creative(X))))&
(![X]:((~old(X)<~>~strong(X))<=>(generous(X)|~happy(X))))&
(![X]:((~generous(X)<~>generous(X))<=>(curious(X)&~calm(X))))&
(![X]:(~patient(X)<=>(creative(X)<~>~strong(X))))&
(((~curious(lucy)<~>kind(lucy)))<=>(?[X]:(~wise(X))))&
((?[X]:((tall(X)&~old(X))))<=>((~kind(mary)<~>~qu... | patient(susan) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4897335620918438160191684
% SZS output start Proof for 4897335620918438160191684
1. ! [X0] : (old(X0) => (happy(X0) <~> creative(X0))) [input p0]
2. ! [X0] : ((~old(X0) <~> ~strong(X0)) <=> (~happy(X0) | generous(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> generous(X0)) <=> (~calm(X0... | 0 |
If someone is either tall or not humble then susan is either not quiet or not tall.
If someone is tall then susan is either generous or rich.
Everyone who is both happy and not kind is both rich and not quiet and vice versa.
If someone is not creative then john is not tall or not brave and vice versa.
If john is funny ... | Alice is humble. | neutral | ((?[X]:((tall(X)<~>~humble(X))))=>((~quiet(susan)<~>~tall(susan))))&
((?[X]:(tall(X)))=>((generous(susan)<~>rich(susan))))&
(![X]:((happy(X)&~kind(X))<=>(rich(X)&~quiet(X))))&
((?[X]:(~creative(X)))<=>((~tall(john)|~brave(john))))&
(((funny(john)|humble(john)))<=>(~happy(susan)))&
(![X]:(~generous(X)=>patient(X)))&
((?... | humble(alice) | [] | null | 0 |
If john is patient then alice is either not rich or old and vice versa. If mary is not creative then someone is not curious. Everyone who is not wise or rich is not patient or humble. If paul is both not kind and not rich then susan is not funny and vice versa. If paul is curious then fred is wise. Everyone who is both... | Fred is not generous. | neutral | ((patient(john))<=>((~rich(alice)<~>old(alice))))&
((~creative(mary))=>(?[X]:(~curious(X))))&
(![X]:((~wise(X)|rich(X))=>(~patient(X)|humble(X))))&
(((~kind(paul)&~rich(paul)))<=>(~funny(susan)))&
((curious(paul))=>(wise(fred)))&
(![X]:((~wise(X)&~funny(X))=>(wise(X)<~>~strong(X))))&
(![X]:(~happy(X)=>humble(X)))&
(![X... | ~generous(fred) | [] | null | 0 |
If someone is both quiet and not curious then fred is both calm and humble.
If alice is either brave or not generous then alice is both humble and not humble and vice versa.
Everyone who is calm is both not wise and humble.
Everyone who is both not funny and strong is wise or quiet and vice versa.
If paul is brave or n... | Paul is not rich. | entailment | ((?[X]:((quiet(X)&~curious(X))))=>((calm(fred)&humble(fred))))&
(((brave(alice)<~>~generous(alice)))<=>((humble(alice)&~humble(alice))))&
(![X]:(calm(X)=>(~wise(X)&humble(X))))&
(![X]:((~funny(X)&strong(X))<=>(wise(X)|quiet(X))))&
(((brave(paul)|~tall(paul)))=>(?[X]:((brave(X)|happy(X)))))&
(![X]:(~curious(X)<=>patient... | ~rich(paul) | [
"p3",
"p5",
"p7",
"p9",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5710329707984964115824503
% SZS output start Proof for 5710329707984964115824503
4. ! [X0] : ((strong(X0) & ~funny(X0)) <=> (quiet(X0) | wise(X0))) [input p3]
6. ! [X0] : (~curious(X0) <=> patient(X0)) [input p5]
8. ! [X0] : ((old(X0) | ~strong(X0)) => (~tall(X0) & funny(X0))) [input p7]
... | 0 |
If someone is either tall or calm then lucy is both not kind and not happy and vice versa.
If lucy is creative then fred is both patient and not creative and vice versa.
Everyone who is not humble or generous is not strong or happy and vice versa.
Everyone who is both humble and not patient is curious or not funny and ... | Fred is not creative. | neutral | ((?[X]:((tall(X)<~>calm(X))))<=>((~kind(lucy)&~happy(lucy))))&
((creative(lucy))<=>((patient(fred)&~creative(fred))))&
(![X]:((~humble(X)|generous(X))<=>(~strong(X)|happy(X))))&
(![X]:((humble(X)&~patient(X))<=>(curious(X)|~funny(X))))&
(![X]:((happy(X)<~>~strong(X))=>(happy(X)|quiet(X))))&
(![X]:((~kind(X)|~calm(X))<=... | ~creative(fred) | [] | null | 0 |
Everyone who is either creative or funny is either not creative or not old and vice versa.
Everyone who is wise or not humble is happy or curious.
If alice is rich then someone is rich or not wise.
Everyone who is creative is not humble.
If fred is not generous or not brave then someone is not patient or not old.
If al... | Alice is funny. | entailment | (![X]:((creative(X)<~>funny(X))<=>(~creative(X)<~>~old(X))))&
(![X]:((wise(X)|~humble(X))=>(happy(X)|curious(X))))&
((rich(alice))=>(?[X]:((rich(X)|~wise(X)))))&
(![X]:(creative(X)=>~humble(X)))&
(((~generous(fred)|~brave(fred)))=>(?[X]:((~patient(X)|~old(X)))))&
(((~rich(alice)|~patient(alice)))=>(?[X]:((~happy(X)&wis... | funny(alice) | [
"p0",
"p6",
"p8",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 25841968920962490067649
% SZS output start Proof for 25841968920962490067649
1. ! [X0] : ((creative(X0) <~> funny(X0)) <=> (~creative(X0) <~> ~old(X0))) [input p0]
7. ! [X0] : (~wise(X0) => (wise(X0) & happy(X0))) [input p6]
9. ! [X0] : (~funny(X0) => (~calm(X0) & ~patient(X0))) [input p8... | 0 |
Everyone who is strong or not curious is both not creative and tall and vice versa.
Everyone who is both not humble and generous is both humble and not creative and vice versa.
Everyone who is either happy or not old is both not tall and not old.
Everyone who is either creative or patient is either not funny or funny a... | Fred is humble. | neutral | (![X]:((strong(X)|~curious(X))<=>(~creative(X)&tall(X))))&
(![X]:((~humble(X)&generous(X))<=>(humble(X)&~creative(X))))&
(![X]:((happy(X)<~>~old(X))=>(~tall(X)&~old(X))))&
(![X]:((creative(X)<~>patient(X))<=>(~funny(X)<~>funny(X))))&
((?[X]:((brave(X)&generous(X))))=>((brave(alice)<~>kind(alice))))&
(![X]:((~funny(X)&s... | humble(fred) | [] | null | 0 |
If someone is both humble and old then someone is both not old and not tall.
Everyone who is either not generous or not kind is both not calm and not generous and vice versa.
If someone is both not kind and brave then lucy is either tall or wise.
Everyone who is either not calm or brave is both rich and not tall.
Every... | Fred is curious. | entailment | ((?[X]:((humble(X)&old(X))))=>(?[X]:((~old(X)&~tall(X)))))&
(![X]:((~generous(X)<~>~kind(X))<=>(~calm(X)&~generous(X))))&
((?[X]:((~kind(X)&brave(X))))=>((tall(lucy)<~>wise(lucy))))&
(![X]:((~calm(X)<~>brave(X))=>(rich(X)&~tall(X))))&
(![X]:((calm(X)<~>humble(X))<=>(brave(X)|~wise(X))))&
((?[X]:((~patient(X)<~>~humble(... | curious(fred) | [
"p1",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5927208811242620295806761
% SZS output start Proof for 5927208811242620295806761
2. ! [X0] : ((~generous(X0) <~> ~kind(X0)) <=> (~generous(X0) & ~calm(X0))) [input p1]
9. ! [X0] : ((kind(X0) & ~rich(X0)) <=> (calm(X0) | generous(X0))) [input p8]
10. ! [X0] : (curious(X0) <=> generous(X0))... | 0 |
Everyone who is both not strong and not tall is calm or old and vice versa. If fred is happy or curious then mary is either not wise or rich and vice versa. Everyone who is either funny or creative is not old or curious. Everyone who is tall or not calm is humble and vice versa. Everyone who is patient or not curious i... | Fred is generous. | neutral | (![X]:((~strong(X)&~tall(X))<=>(calm(X)|old(X))))&
(((happy(fred)|curious(fred)))<=>((~wise(mary)<~>rich(mary))))&
(![X]:((funny(X)<~>creative(X))=>(~old(X)|curious(X))))&
(![X]:((tall(X)|~calm(X))<=>humble(X)))&
(![X]:((patient(X)|~curious(X))=>(strong(X)|~tall(X))))&
((?[X]:(calm(X)))<=>((brave(paul)|~generous(paul))... | generous(fred) | [] | null | 0 |
Everyone who is both curious and wise is happy.
If john is either quiet or not rich then mary is old or happy and vice versa.
If susan is both not generous and not kind then paul is not wise and vice versa.
Everyone who is either not old or wise is both old and not funny and vice versa.
Everyone who is both not old and... | Susan is happy. | neutral | (![X]:((curious(X)&wise(X))=>happy(X)))&
(((quiet(john)<~>~rich(john)))<=>((old(mary)|happy(mary))))&
(((~generous(susan)&~kind(susan)))<=>(~wise(paul)))&
(![X]:((~old(X)<~>wise(X))<=>(old(X)&~funny(X))))&
(![X]:((~old(X)&~wise(X))=>(generous(X)&brave(X))))&
(((~patient(alice)<~>kind(alice)))<=>(?[X]:((~brave(X)<~>~hap... | happy(susan) | [] | null | 0 |
If someone is tall or quiet then fred is either patient or not kind and vice versa.
If someone is either not happy or not calm then mary is both not brave and not quiet and vice versa.
Everyone who is funny is either wise or strong and vice versa.
Everyone who is both not tall and not calm is either wise or brave.
Ever... | Lucy is quiet. | contradiction | ((?[X]:((tall(X)|quiet(X))))<=>((patient(fred)<~>~kind(fred))))&
((?[X]:((~happy(X)<~>~calm(X))))<=>((~brave(mary)&~quiet(mary))))&
(![X]:(funny(X)<=>(wise(X)<~>strong(X))))&
(![X]:((~tall(X)&~calm(X))=>(wise(X)<~>brave(X))))&
(![X]:((~funny(X)&~humble(X))<=>(tall(X)|funny(X))))&
(![X]:((funny(X)|brave(X))<=>~humble(X)... | quiet(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7934951051953402398905260
% SZS output start Proof for 7934951051953402398905260
7. ! [X0] : ((generous(X0) <~> ~generous(X0)) => (generous(X0) & ~quiet(X0))) [input p6]
24. quiet(lucy) [input hypothesis]
30. ! [X0] : ((generous(X0) & ~quiet(X0)) | (generous(X0) <=> ~generous(X0))) [ennf ... | 0 |
If someone is not happy or not wise then paul is either not kind or not creative and vice versa. If someone is rich then someone is wise. Everyone who is not funny or not humble is not creative or wise and vice versa. Everyone who is not happy is not creative or funny. Everyone who is not funny is patient or not kind. ... | Fred is rich. | entailment | ((?[X]:((~happy(X)|~wise(X))))<=>((~kind(paul)<~>~creative(paul))))&
((?[X]:(rich(X)))=>(?[X]:(wise(X))))&
(![X]:((~funny(X)|~humble(X))<=>(~creative(X)|wise(X))))&
(![X]:(~happy(X)=>(~creative(X)|funny(X))))&
(![X]:(~funny(X)=>(patient(X)|~kind(X))))&
((?[X]:(~generous(X)))=>(rich(fred)))&
((?[X]:((~patient(X)&tall(X)... | rich(fred) | [
"p7",
"p8",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6224688586475613255992031
% SZS output start Proof for 6224688586475613255992031
8. ! [X0] : ((rich(X0) | ~calm(X0)) <=> (~quiet(X0) & funny(X0))) [input p7]
9. ! [X0] : (funny(X0) <=> ~quiet(X0)) [input p8]
11. ! [X0] : ((creative(X0) & ~creative(X0)) <=> tall(X0)) [input p10]
15. ! [X0]... | 0 |
If susan is not funny or not old then fred is curious and vice versa. Everyone who is kind is both patient and tall and vice versa. Everyone who is both not happy and tall is both curious and creative. Everyone who is not creative is either not kind or not rich and vice versa. If someone is both not strong and kind the... | Paul is funny. | contradiction | (((~funny(susan)|~old(susan)))<=>(curious(fred)))&
(![X]:(kind(X)<=>(patient(X)&tall(X))))&
(![X]:((~happy(X)&tall(X))=>(curious(X)&creative(X))))&
(![X]:(~creative(X)<=>(~kind(X)<~>~rich(X))))&
((?[X]:((~strong(X)&kind(X))))=>(quiet(alice)))&
(![X]:((brave(X)|quiet(X))<=>(~creative(X)|~brave(X))))&
(((wise(susan)<~>~h... | funny(paul) | [
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3289398969048536265497307
% SZS output start Proof for 3289398969048536265497307
6. ! [X0] : ((quiet(X0) | brave(X0)) <=> (~brave(X0) | ~creative(X0))) [input p5]
8. ! [X0] : ((~generous(X0) | generous(X0)) <=> (creative(X0) & humble(X0))) [input p7]
9. ! [X0] : ((humble(X0) <~> ~quiet(X0... | 0 |
Everyone who is either not calm or not brave is either kind or old. Everyone who is either not rich or not humble is not strong or not calm and vice versa. If fred is strong then lucy is both humble and not rich and vice versa. Everyone who is both old and not old is not humble. If someone is kind then someone is both ... | John is funny. | contradiction | (![X]:((~calm(X)<~>~brave(X))=>(kind(X)<~>old(X))))&
(![X]:((~rich(X)<~>~humble(X))<=>(~strong(X)|~calm(X))))&
((strong(fred))<=>((humble(lucy)&~rich(lucy))))&
(![X]:((old(X)&~old(X))=>~humble(X)))&
((?[X]:(kind(X)))<=>(?[X]:((~funny(X)&humble(X)))))&
((?[X]:((~quiet(X)|creative(X))))<=>(?[X]:((~quiet(X)|~creative(X)))... | funny(john) | [
"p8",
"p9",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5652028006055591469949437
% SZS output start Proof for 5652028006055591469949437
9. (~funny(fred) & ~humble(fred)) <=> ? [X0] : ~wise(X0) [input p8]
10. ! [X0] : ((~curious(X0) & funny(X0)) <=> (~strong(X0) | happy(X0))) [input p9]
18. happy(fred) & creative(fred) [input p17]
22. ~wise(jo... | 0 |
Everyone who is both not wise and creative is both not happy and wise and vice versa.
If susan is wise or old then mary is generous or funny and vice versa.
Everyone who is not rich or not kind is either patient or not kind and vice versa.
If paul is both funny and not happy then someone is calm and vice versa.
Everyon... | Paul is strong. | neutral | (![X]:((~wise(X)&creative(X))<=>(~happy(X)&wise(X))))&
(((wise(susan)|old(susan)))<=>((generous(mary)|funny(mary))))&
(![X]:((~rich(X)|~kind(X))<=>(patient(X)<~>~kind(X))))&
(((funny(paul)&~happy(paul)))<=>(?[X]:(calm(X))))&
(![X]:((brave(X)&strong(X))<=>(brave(X)|~happy(X))))&
(![X]:(quiet(X)<=>(~patient(X)&~kind(X)))... | strong(paul) | [] | null | 0 |
Everyone who is quiet is not tall or not happy. Everyone who is not strong is curious or not wise. Everyone who is curious or wise is happy or not happy and vice versa. Everyone who is not creative or curious is both happy and not happy. Everyone who is humble or wise is both not patient and wise. Everyone who is both ... | Paul is rich. | neutral | (![X]:(quiet(X)=>(~tall(X)|~happy(X))))&
(![X]:(~strong(X)=>(curious(X)|~wise(X))))&
(![X]:((curious(X)|wise(X))<=>(happy(X)|~happy(X))))&
(![X]:((~creative(X)|curious(X))=>(happy(X)&~happy(X))))&
(![X]:((humble(X)|wise(X))=>(~patient(X)&wise(X))))&
(![X]:((~strong(X)&creative(X))=>(~curious(X)<~>~rich(X))))&
(![X]:(~k... | rich(paul) | [] | null | 0 |
If fred is not happy or calm then someone is either brave or not strong and vice versa. Everyone who is not kind or humble is either rich or not generous. Everyone who is rich is either generous or not calm. If john is both funny and not kind then someone is not happy or humble. If lucy is not creative or not curious t... | Mary is generous. | contradiction | (((~happy(fred)|calm(fred)))<=>(?[X]:((brave(X)<~>~strong(X)))))&
(![X]:((~kind(X)|humble(X))=>(rich(X)<~>~generous(X))))&
(![X]:(rich(X)=>(generous(X)<~>~calm(X))))&
(((funny(john)&~kind(john)))=>(?[X]:((~happy(X)|humble(X)))))&
(((~creative(lucy)|~curious(lucy)))=>(?[X]:((wise(X)&happy(X)))))&
((wise(fred))=>(?[X]:((... | generous(mary) | [
"p1",
"p7",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2329509932982170650662998
% SZS output start Proof for 2329509932982170650662998
2. ! [X0] : ((humble(X0) | ~kind(X0)) => (rich(X0) <~> ~generous(X0))) [input p1]
8. ! [X0] : ((kind(X0) <~> tall(X0)) <=> (tall(X0) | patient(X0))) [input p7]
11. (quiet(john) & ~patient(john)) <=> ? [X0] : ... | 0 |
If alice is not tall then alice is either not quiet or tall and vice versa. Everyone who is not tall is not happy or not quiet. If susan is humble or not generous then susan is either not kind or patient and vice versa. Everyone who is both not quiet and not funny is not funny or not tall and vice versa. If someone is ... | Lucy is not rich. | neutral | ((~tall(alice))<=>((~quiet(alice)<~>tall(alice))))&
(![X]:(~tall(X)=>(~happy(X)|~quiet(X))))&
(((humble(susan)|~generous(susan)))<=>((~kind(susan)<~>patient(susan))))&
(![X]:((~quiet(X)&~funny(X))<=>(~funny(X)|~tall(X))))&
((?[X]:((funny(X)|~brave(X))))=>(?[X]:(generous(X))))&
(![X]:((strong(X)|~creative(X))<=>(quiet(X... | ~rich(lucy) | [] | null | 0 |
Everyone who is either strong or not rich is either strong or generous and vice versa.
Everyone who is either not curious or not old is not strong or happy and vice versa.
Everyone who is either not patient or quiet is both calm and brave.
Everyone who is not brave is either not creative or not strong and vice versa.
E... | Fred is not strong. | entailment | (![X]:((strong(X)<~>~rich(X))<=>(strong(X)<~>generous(X))))&
(![X]:((~curious(X)<~>~old(X))<=>(~strong(X)|happy(X))))&
(![X]:((~patient(X)<~>quiet(X))=>(calm(X)&brave(X))))&
(![X]:(~brave(X)<=>(~creative(X)<~>~strong(X))))&
(![X]:(funny(X)<=>(~calm(X)&~rich(X))))&
(![X]:((humble(X)<~>quiet(X))=>(curious(X)<~>funny(X)))... | ~strong(fred) | [
"p0",
"p3",
"p6",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4229800925854315067952747
% SZS output start Proof for 4229800925854315067952747
1. ! [X0] : ((strong(X0) <~> ~rich(X0)) <=> (strong(X0) <~> generous(X0))) [input p0]
4. ! [X0] : (~brave(X0) <=> (~creative(X0) <~> ~strong(X0))) [input p3]
7. ! [X0] : ((happy(X0) | kind(X0)) => ~brave(X0))... | 0 |
Everyone who is creative is not humble or not funny and vice versa.
Everyone who is not curious or quiet is both not curious and quiet and vice versa.
If someone is either humble or not old then someone is not happy or happy.
Everyone who is not funny is generous or funny.
Everyone who is either quiet or not quiet is b... | Lucy is rich. | entailment | (![X]:(creative(X)<=>(~humble(X)|~funny(X))))&
(![X]:((~curious(X)|quiet(X))<=>(~curious(X)&quiet(X))))&
((?[X]:((humble(X)<~>~old(X))))=>(?[X]:((~happy(X)|happy(X)))))&
(![X]:(~funny(X)=>(generous(X)|funny(X))))&
(![X]:((quiet(X)<~>~quiet(X))=>(kind(X)&rich(X))))&
((~happy(john))<=>(?[X]:((~humble(X)|brave(X)))))&
((~... | rich(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 55575941472962240860446
% SZS output start Proof for 55575941472962240860446
5. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (rich(X0) & kind(X0))) [input p4]
23. ~rich(lucy) [input hypothesis]
29. ! [X0] : ((rich(X0) & kind(X0)) | (quiet(X0) <=> ~quiet(X0))) [ennf transformation 5]
46. ! [X0]... | 0 |
If john is either not tall or quiet then someone is either not rich or curious.
If alice is either happy or patient then lucy is funny.
Everyone who is either not quiet or humble is brave or not rich.
If alice is either not brave or humble then someone is either not quiet or tall and vice versa.
If paul is not old or w... | Paul is not brave. | entailment | (((~tall(john)<~>quiet(john)))=>(?[X]:((~rich(X)<~>curious(X)))))&
(((happy(alice)<~>patient(alice)))=>(funny(lucy)))&
(![X]:((~quiet(X)<~>humble(X))=>(brave(X)|~rich(X))))&
(((~brave(alice)<~>humble(alice)))<=>(?[X]:((~quiet(X)<~>tall(X)))))&
(((~old(paul)|wise(paul)))=>(patient(susan)))&
(![X]:((patient(X)|~curious(X... | ~brave(paul) | [
"p10",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5719316812447519453495226
% SZS output start Proof for 5719316812447519453495226
11. ! [X0] : (~funny(X0) <=> (~brave(X0) & happy(X0))) [input p10]
13. ~kind(mary) => ~funny(paul) [input p12]
22. ~kind(mary) & ~tall(mary) [input p21]
25. brave(paul) [input hypothesis]
41. ~funny(paul) | k... | 0 |
If someone is both not old and not generous then someone is both tall and calm and vice versa.
Everyone who is both not generous and calm is both not curious and not generous and vice versa.
Everyone who is kind or not brave is not wise or not brave.
If someone is both humble and old then mary is both not funny and not... | Lucy is curious. | contradiction | ((?[X]:((~old(X)&~generous(X))))<=>(?[X]:((tall(X)&calm(X)))))&
(![X]:((~generous(X)&calm(X))<=>(~curious(X)&~generous(X))))&
(![X]:((kind(X)|~brave(X))=>(~wise(X)|~brave(X))))&
((?[X]:((humble(X)&old(X))))=>((~funny(mary)&~creative(mary))))&
(![X]:((~tall(X)|tall(X))<=>(~kind(X)<~>kind(X))))&
(![X]:((kind(X)<~>rich(X)... | curious(lucy) | [
"p2",
"p5",
"p6",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3900947811195995624690662
% SZS output start Proof for 3900947811195995624690662
3. ! [X0] : ((~brave(X0) | kind(X0)) => (~brave(X0) | ~wise(X0))) [input p2]
6. ! [X0] : ((kind(X0) <~> rich(X0)) <=> (kind(X0) | curious(X0))) [input p5]
7. (~curious(lucy) & brave(lucy)) <=> ? [X0] : ~wise(... | 0 |
Everyone who is not funny or tall is both brave and not generous and vice versa. Everyone who is both not rich and quiet is both not creative and funny and vice versa. If alice is not humble or not old then fred is either not strong or rich. If alice is both kind and funny then paul is generous. If someone is either no... | Alice is curious. | entailment | (![X]:((~funny(X)|tall(X))<=>(brave(X)&~generous(X))))&
(![X]:((~rich(X)&quiet(X))<=>(~creative(X)&funny(X))))&
(((~humble(alice)|~old(alice)))=>((~strong(fred)<~>rich(fred))))&
(((kind(alice)&funny(alice)))=>(generous(paul)))&
((?[X]:((~tall(X)<~>curious(X))))<=>((~humble(alice)<~>wise(alice))))&
(![X]:((~brave(X)&str... | curious(alice) | [
"p0",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8745026463304806019118480
% SZS output start Proof for 8745026463304806019118480
1. ! [X0] : ((tall(X0) | ~funny(X0)) <=> (~generous(X0) & brave(X0))) [input p0]
8. ! [X0] : ((~brave(X0) & tall(X0)) <=> (old(X0) | ~tall(X0))) [input p7]
19. ~curious(alice) <~> ~old(alice) [input p18]
21. ... | 0 |
If someone is both rich and not generous then someone is calm or quiet and vice versa.
If mary is both old and kind then someone is not generous or not calm.
If paul is both not quiet and brave then someone is patient or not kind and vice versa.
Everyone who is tall is both happy and not quiet and vice versa.
If someon... | Lucy is not patient. | contradiction | ((?[X]:((rich(X)&~generous(X))))<=>(?[X]:((calm(X)|quiet(X)))))&
(((old(mary)&kind(mary)))=>(?[X]:((~generous(X)|~calm(X)))))&
(((~quiet(paul)&brave(paul)))<=>(?[X]:((patient(X)|~kind(X)))))&
(![X]:(tall(X)<=>(happy(X)&~quiet(X))))&
((?[X]:((~wise(X)|calm(X))))<=>(rich(john)))&
((?[X]:(~kind(X)))=>(~happy(susan)))&
(![... | ~patient(lucy) | [
"p3",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7010807115607294480434449
% SZS output start Proof for 7010807115607294480434449
4. ! [X0] : (tall(X0) <=> (~quiet(X0) & happy(X0))) [input p3]
15. ! [X0] : (~quiet(X0) <=> ~patient(X0)) [input p14]
18. ~tall(lucy) & happy(lucy) [input p17]
25. ~patient(lucy) [input hypothesis]
51. ! [X0]... | 0 |
Everyone who is both creative and not creative is kind or not patient. If mary is rich then someone is both not rich and not wise and vice versa. Everyone who is either old or not brave is both not humble and humble. Everyone who is not generous is either rich or happy and vice versa. Everyone who is either not calm or... | Mary is old. | contradiction | (![X]:((creative(X)&~creative(X))=>(kind(X)|~patient(X))))&
((rich(mary))<=>(?[X]:((~rich(X)&~wise(X)))))&
(![X]:((old(X)<~>~brave(X))=>(~humble(X)&humble(X))))&
(![X]:(~generous(X)<=>(rich(X)<~>happy(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>kind(X)))&
(![X]:(rich(X)<=>(happy(X)&~wise(X))))&
((?[X]:((quiet(X)&~wise(X))... | old(mary) | [
"p2",
"p7",
"p10",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1477367214121869690611019
% SZS output start Proof for 1477367214121869690611019
3. ! [X0] : ((old(X0) <~> ~brave(X0)) => (humble(X0) & ~humble(X0))) [input p2]
8. ! [X0] : ((brave(X0) <~> calm(X0)) <=> (~strong(X0) & strong(X0))) [input p7]
11. ! [X0] : ((curious(X0) | ~generous(X0)) => ... | 0 |
Everyone who is curious or patient is old or curious and vice versa. Everyone who is either not creative or funny is generous and vice versa. Everyone who is humble is both calm and not humble. If someone is not generous or patient then susan is not tall and vice versa. If someone is both tall and kind then someone is ... | John is not strong. | neutral | (![X]:((curious(X)|patient(X))<=>(old(X)|curious(X))))&
(![X]:((~creative(X)<~>funny(X))<=>generous(X)))&
(![X]:(humble(X)=>(calm(X)&~humble(X))))&
((?[X]:((~generous(X)|patient(X))))<=>(~tall(susan)))&
((?[X]:((tall(X)&kind(X))))<=>(?[X]:((curious(X)<~>~curious(X)))))&
((?[X]:((strong(X)&~creative(X))))=>(?[X]:((~happ... | ~strong(john) | [] | null | 0 |
Everyone who is either not brave or not happy is not funny.
Everyone who is not quiet or not wise is creative.
If lucy is not generous or tall then paul is humble or not humble and vice versa.
Everyone who is either not brave or not tall is not brave or not tall.
Everyone who is either not kind or calm is both curious ... | John is curious. | neutral | (![X]:((~brave(X)<~>~happy(X))=>~funny(X)))&
(![X]:((~quiet(X)|~wise(X))=>creative(X)))&
(((~generous(lucy)|tall(lucy)))<=>((humble(paul)|~humble(paul))))&
(![X]:((~brave(X)<~>~tall(X))=>(~brave(X)|~tall(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(curious(X)&~humble(X))))&
((?[X]:((~humble(X)&~tall(X))))<=>(?[X]:((~brave(X)&... | curious(john) | [] | null | 0 |
If someone is calm then someone is both brave and not calm.
Everyone who is both generous and tall is either brave or not strong.
Everyone who is either tall or not funny is both not tall and calm and vice versa.
If alice is either not funny or not calm then susan is creative or brave.
Everyone who is either calm or ol... | John is strong. | contradiction | ((?[X]:(calm(X)))=>(?[X]:((brave(X)&~calm(X)))))&
(![X]:((generous(X)&tall(X))=>(brave(X)<~>~strong(X))))&
(![X]:((tall(X)<~>~funny(X))<=>(~tall(X)&calm(X))))&
(((~funny(alice)<~>~calm(alice)))=>((creative(susan)|brave(susan))))&
(![X]:((calm(X)<~>old(X))<=>wise(X)))&
(![X]:(wise(X)<=>(~rich(X)|tall(X))))&
(![X]:((~cal... | strong(john) | [
"p2",
"p4",
"p5",
"p8",
"p9",
"p10",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1529170513246324561698021
% SZS output start Proof for 1529170513246324561698021
3. ! [X0] : ((tall(X0) <~> ~funny(X0)) <=> (calm(X0) & ~tall(X0))) [input p2]
5. ! [X0] : ((calm(X0) <~> old(X0)) <=> wise(X0)) [input p4]
6. ! [X0] : (wise(X0) <=> (tall(X0) | ~rich(X0))) [input p5]
9. ? [X0... | 0 |
Everyone who is not tall is either not rich or wise and vice versa.
Everyone who is generous is both strong and not old and vice versa.
If someone is either strong or happy then paul is both wise and not humble.
If mary is either rich or curious then someone is both not strong and humble.
If someone is patient or wise ... | Paul is brave. | contradiction | (![X]:(~tall(X)<=>(~rich(X)<~>wise(X))))&
(![X]:(generous(X)<=>(strong(X)&~old(X))))&
((?[X]:((strong(X)<~>happy(X))))=>((wise(paul)&~humble(paul))))&
(((rich(mary)<~>curious(mary)))=>(?[X]:((~strong(X)&humble(X)))))&
((?[X]:((patient(X)|wise(X))))=>((~funny(susan)|~strong(susan))))&
((?[X]:((~happy(X)<~>~quiet(X))))<=... | brave(paul) | [
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1678873498470414466638754
% SZS output start Proof for 1678873498470414466638754
9. ! [X0] : ((~quiet(X0) <~> kind(X0)) <=> kind(X0)) [input p8]
12. ! [X0] : ((kind(X0) | ~kind(X0)) <=> humble(X0)) [input p11]
15. ? [X0] : (brave(X0) <~> ~quiet(X0)) <=> (~humble(alice) & funny(alice)) [in... | 0 |
If someone is not creative or calm then paul is either not kind or calm and vice versa.
Everyone who is not happy is either curious or kind.
If someone is both not kind and funny then susan is not calm and vice versa.
If someone is patient or not rich then john is generous.
Everyone who is both quiet and not funny is n... | Paul is funny. | contradiction | ((?[X]:((~creative(X)|calm(X))))<=>((~kind(paul)<~>calm(paul))))&
(![X]:(~happy(X)=>(curious(X)<~>kind(X))))&
((?[X]:((~kind(X)&funny(X))))<=>(~calm(susan)))&
((?[X]:((patient(X)|~rich(X))))=>(generous(john)))&
(![X]:((quiet(X)&~funny(X))<=>(~strong(X)|~happy(X))))&
(![X]:((~tall(X)<~>strong(X))=>(strong(X)|~calm(X))))... | funny(paul) | [
"p0",
"p4",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8593362367827975610680142
% SZS output start Proof for 8593362367827975610680142
1. ? [X0] : (calm(X0) | ~creative(X0)) <=> (~kind(paul) <~> calm(paul)) [input p0]
5. ! [X0] : ((~funny(X0) & quiet(X0)) <=> (~happy(X0) | ~strong(X0))) [input p4]
8. ! [X0] : ((strong(X0) <~> ~funny(X0)) <=>... | 0 |
Everyone who is not patient is either strong or creative. If mary is tall then susan is not humble or not kind. If someone is calm then someone is not brave. Everyone who is not happy is not creative. Everyone who is not strong or not kind is patient. Everyone who is either rich or calm is either not happy or generous.... | Mary is not tall. | entailment | (![X]:(~patient(X)=>(strong(X)<~>creative(X))))&
((tall(mary))=>((~humble(susan)|~kind(susan))))&
((?[X]:(calm(X)))=>(?[X]:(~brave(X))))&
(![X]:(~happy(X)=>~creative(X)))&
(![X]:((~strong(X)|~kind(X))=>patient(X)))&
(![X]:((rich(X)<~>calm(X))=>(~happy(X)<~>generous(X))))&
(![X]:((~rich(X)|creative(X))=>(humble(X)<~>pat... | ~tall(mary) | [
"p1",
"p4",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 839903401986263186879773
% SZS output start Proof for 839903401986263186879773
2. tall(mary) => (~kind(susan) | ~humble(susan)) [input p1]
5. ! [X0] : ((~kind(X0) | ~strong(X0)) => patient(X0)) [input p4]
7. ! [X0] : ((creative(X0) | ~rich(X0)) => (humble(X0) <~> patient(X0))) [input p6]
... | 0 |
If someone is not strong or not humble then someone is either curious or kind. If alice is either quiet or not brave then susan is wise or not brave. Everyone who is not strong or not wise is calm or not rich. Everyone who is not happy is not creative and vice versa. If alice is not calm then someone is humble and vice... | Mary is not funny. | neutral | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((curious(X)<~>kind(X)))))&
(((quiet(alice)<~>~brave(alice)))=>((wise(susan)|~brave(susan))))&
(![X]:((~strong(X)|~wise(X))=>(calm(X)|~rich(X))))&
(![X]:(~happy(X)<=>~creative(X)))&
((~calm(alice))<=>(?[X]:(humble(X))))&
(![X]:(~generous(X)=>(~patient(X)|~calm(X))))&
(((~calm(pa... | ~funny(mary) | [] | null | 0 |
Everyone who is not calm or strong is rich. If someone is not patient then alice is rich. Everyone who is not creative is both not tall and not patient. If someone is both not rich and calm then someone is not strong. Everyone who is both quiet and old is strong or not kind and vice versa. If john is not kind then some... | Paul is patient. | contradiction | (![X]:((~calm(X)|strong(X))=>rich(X)))&
((?[X]:(~patient(X)))=>(rich(alice)))&
(![X]:(~creative(X)=>(~tall(X)&~patient(X))))&
((?[X]:((~rich(X)&calm(X))))=>(?[X]:(~strong(X))))&
(![X]:((quiet(X)&old(X))<=>(strong(X)|~kind(X))))&
((~kind(john))=>(?[X]:((kind(X)&~funny(X)))))&
(![X]:((~kind(X)<~>~happy(X))<=>(patient(X)<... | patient(paul) | [
"p2",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4145860136198846649580507
% SZS output start Proof for 4145860136198846649580507
3. ! [X0] : (~creative(X0) => (~patient(X0) & ~tall(X0))) [input p2]
15. ! [X0] : ((~happy(X0) | ~creative(X0)) <=> kind(X0)) [input p14]
16. ! [X0] : ((calm(X0) & happy(X0)) <=> (~patient(X0) <~> kind(X0))) ... | 0 |
If paul is not quiet or not rich then alice is rich or not calm. Everyone who is either not creative or calm is not curious or kind and vice versa. Everyone who is not calm or not quiet is not strong or quiet and vice versa. Everyone who is either not curious or humble is patient or rich. Everyone who is either not old... | Paul is not humble. | contradiction | (((~quiet(paul)|~rich(paul)))=>((rich(alice)|~calm(alice))))&
(![X]:((~creative(X)<~>calm(X))<=>(~curious(X)|kind(X))))&
(![X]:((~calm(X)|~quiet(X))<=>(~strong(X)|quiet(X))))&
(![X]:((~curious(X)<~>humble(X))=>(patient(X)|rich(X))))&
(![X]:((~old(X)<~>generous(X))<=>~calm(X)))&
(![X]:((brave(X)|~quiet(X))<=>(humble(X)|... | ~humble(paul) | [
"p2",
"p5",
"p10",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 630293714976299580346922
% SZS output start Proof for 630293714976299580346922
3. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> (quiet(X0) | ~strong(X0))) [input p2]
6. ! [X0] : ((~quiet(X0) | brave(X0)) <=> (~calm(X0) | humble(X0))) [input p5]
11. ! [X0] : ((brave(X0) <~> ~curious(X0)) => (humb... | 0 |
If someone is not humble then someone is both calm and not happy.
If fred is tall then paul is either old or not happy.
Everyone who is either not brave or quiet is curious or not funny and vice versa.
If paul is not humble or old then someone is creative or not humble and vice versa.
If someone is either not creative ... | Fred is not rich. | neutral | ((?[X]:(~humble(X)))=>(?[X]:((calm(X)&~happy(X)))))&
((tall(fred))=>((old(paul)<~>~happy(paul))))&
(![X]:((~brave(X)<~>quiet(X))<=>(curious(X)|~funny(X))))&
(((~humble(paul)|old(paul)))<=>(?[X]:((creative(X)|~humble(X)))))&
((?[X]:((~creative(X)<~>~old(X))))<=>(?[X]:((~old(X)&strong(X)))))&
(![X]:(~rich(X)=>(humble(X)|... | ~rich(fred) | [] | null | 0 |
If alice is not kind then paul is quiet and vice versa. If someone is both not brave and wise then someone is either happy or brave and vice versa. Everyone who is either old or not tall is either old or not quiet and vice versa. If someone is both not strong and funny then fred is generous and vice versa. Everyone who... | Mary is humble. | neutral | ((~kind(alice))<=>(quiet(paul)))&
((?[X]:((~brave(X)&wise(X))))<=>(?[X]:((happy(X)<~>brave(X)))))&
(![X]:((old(X)<~>~tall(X))<=>(old(X)<~>~quiet(X))))&
((?[X]:((~strong(X)&funny(X))))<=>(generous(fred)))&
(![X]:((~old(X)<~>tall(X))<=>humble(X)))&
((?[X]:((wise(X)<~>generous(X))))=>((~happy(mary)&tall(mary))))&
(![X]:(w... | humble(mary) | [] | null | 0 |
If someone is patient or funny then fred is humble.
If someone is brave or patient then someone is tall or humble and vice versa.
Everyone who is either not curious or kind is quiet or not rich and vice versa.
Everyone who is not rich is either not rich or quiet and vice versa.
Everyone who is both creative and not pat... | Fred is not humble. | contradiction | ((?[X]:((patient(X)|funny(X))))=>(humble(fred)))&
((?[X]:((brave(X)|patient(X))))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((~curious(X)<~>kind(X))<=>(quiet(X)|~rich(X))))&
(![X]:(~rich(X)<=>(~rich(X)<~>quiet(X))))&
(![X]:((creative(X)&~patient(X))<=>(~generous(X)&~rich(X))))&
(((happy(susan)&old(susan)))<=>(?[X]:((patie... | ~humble(fred) | [
"p0",
"p4",
"p7",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5454014312990599576973356
% SZS output start Proof for 5454014312990599576973356
1. ? [X0] : (funny(X0) | patient(X0)) => humble(fred) [input p0]
5. ! [X0] : ((~patient(X0) & creative(X0)) <=> (~rich(X0) & ~generous(X0))) [input p4]
8. ! [X0] : (creative(X0) <=> (creative(X0) <~> ~strong(... | 0 |
Everyone who is not patient is both happy and quiet and vice versa.
Everyone who is funny or not quiet is either creative or not generous and vice versa.
Everyone who is creative is both kind and patient.
If paul is either not calm or wise then someone is creative or wise and vice versa.
If alice is happy or not patien... | Paul is not quiet. | entailment | (![X]:(~patient(X)<=>(happy(X)&quiet(X))))&
(![X]:((funny(X)|~quiet(X))<=>(creative(X)<~>~generous(X))))&
(![X]:(creative(X)=>(kind(X)&patient(X))))&
(((~calm(paul)<~>wise(paul)))<=>(?[X]:((creative(X)|wise(X)))))&
(((happy(alice)|~patient(alice)))=>(?[X]:(humble(X))))&
(((~creative(susan)|wise(susan)))=>(?[X]:((brave(... | ~quiet(paul) | [
"p0",
"p3",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7526924535906761373212596
% SZS output start Proof for 7526924535906761373212596
1. ! [X0] : (~patient(X0) <=> (quiet(X0) & happy(X0))) [input p0]
4. (~calm(paul) <~> wise(paul)) <=> ? [X0] : (wise(X0) | creative(X0)) [input p3]
8. ! [X0] : ((strong(X0) & ~calm(X0)) <=> ~patient(X0)) [inp... | 0 |
Everyone who is not wise is both not humble and not happy and vice versa.
If someone is rich or not humble then someone is not brave or tall.
Everyone who is not strong is patient and vice versa.
If someone is either patient or kind then someone is not happy or quiet and vice versa.
If fred is not generous or not happy... | John is not creative. | entailment | (![X]:(~wise(X)<=>(~humble(X)&~happy(X))))&
((?[X]:((rich(X)|~humble(X))))=>(?[X]:((~brave(X)|tall(X)))))&
(![X]:(~strong(X)<=>patient(X)))&
((?[X]:((patient(X)<~>kind(X))))<=>(?[X]:((~happy(X)|quiet(X)))))&
(((~generous(fred)|~happy(fred)))=>(?[X]:((tall(X)|~rich(X)))))&
(![X]:(creative(X)=>(wise(X)|generous(X))))&
(!... | ~creative(john) | [
"p5",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3614719046401154709822621
% SZS output start Proof for 3614719046401154709822621
6. ! [X0] : (creative(X0) => (generous(X0) | wise(X0))) [input p5]
7. ! [X0] : ((funny(X0) | ~generous(X0)) <=> (~generous(X0) | ~funny(X0))) [input p6]
14. ! [X0] : ((wise(X0) <~> patient(X0)) <=> patient(X0... | 0 |
Everyone who is tall or not rich is either funny or not generous. Everyone who is not curious or creative is creative. If paul is patient then someone is either happy or not curious. If someone is not creative or not kind then someone is not tall. If someone is both old and not calm then someone is not strong and vice ... | Susan is not brave. | entailment | (![X]:((tall(X)|~rich(X))=>(funny(X)<~>~generous(X))))&
(![X]:((~curious(X)|creative(X))=>creative(X)))&
((patient(paul))=>(?[X]:((happy(X)<~>~curious(X)))))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:(~tall(X))))&
((?[X]:((old(X)&~calm(X))))<=>(?[X]:(~strong(X))))&
((old(susan))=>((rich(lucy)<~>happy(lucy))))&
(![X]:((... | ~brave(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6016135690391404212317809
% SZS output start Proof for 6016135690391404212317809
17. ~brave(susan) [input p16]
25. brave(susan) [input hypothesis]
133. ~brave(susan) [cnf transformation 17]
143. brave(susan) [cnf transformation 25]
270. 29 <=> brave(susan) [avatar definition]
300. ~29 [av... | 0 |
Everyone who is both not curious and happy is both not funny and not strong. Everyone who is not kind or not rich is both creative and not wise. If mary is quiet or not generous then john is funny or not kind and vice versa. If mary is either patient or not generous then someone is patient or old and vice versa. Everyo... | Mary is not generous. | neutral | (![X]:((~curious(X)&happy(X))=>(~funny(X)&~strong(X))))&
(![X]:((~kind(X)|~rich(X))=>(creative(X)&~wise(X))))&
(((quiet(mary)|~generous(mary)))<=>((funny(john)|~kind(john))))&
(((patient(mary)<~>~generous(mary)))<=>(?[X]:((patient(X)|old(X)))))&
(![X]:((tall(X)<~>funny(X))<=>~happy(X)))&
((?[X]:((~wise(X)|funny(X))))=>... | ~generous(mary) | [] | null | 0 |
If alice is not tall or not quiet then mary is either not patient or not creative.
Everyone who is both not funny and not strong is not calm and vice versa.
Everyone who is either rich or not happy is not patient or not humble and vice versa.
If susan is quiet or wise then susan is either quiet or rich and vice versa.
... | Lucy is not wise. | neutral | (((~tall(alice)|~quiet(alice)))=>((~patient(mary)<~>~creative(mary))))&
(![X]:((~funny(X)&~strong(X))<=>~calm(X)))&
(![X]:((rich(X)<~>~happy(X))<=>(~patient(X)|~humble(X))))&
(((quiet(susan)|wise(susan)))<=>((quiet(susan)<~>rich(susan))))&
((?[X]:(~calm(X)))=>(?[X]:(~brave(X))))&
(![X]:((creative(X)&~humble(X))=>~old(X... | ~wise(lucy) | [] | null | 0 |
Everyone who is not brave or generous is not strong or creative and vice versa.
If someone is patient then paul is not quiet.
Everyone who is either calm or strong is both humble and rich.
If someone is both happy and quiet then someone is either not brave or not humble.
If paul is both not humble and tall then someone... | Paul is brave. | contradiction | (![X]:((~brave(X)|generous(X))<=>(~strong(X)|creative(X))))&
((?[X]:(patient(X)))=>(~quiet(paul)))&
(![X]:((calm(X)<~>strong(X))=>(humble(X)&rich(X))))&
((?[X]:((happy(X)&quiet(X))))=>(?[X]:((~brave(X)<~>~humble(X)))))&
(((~humble(paul)&tall(paul)))<=>(?[X]:((rich(X)|brave(X)))))&
((?[X]:((~curious(X)<~>~kind(X))))=>(?... | brave(paul) | [
"p2",
"p4",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 561805633297073494844318
% SZS output start Proof for 561805633297073494844318
3. ! [X0] : ((calm(X0) <~> strong(X0)) => (rich(X0) & humble(X0))) [input p2]
5. (tall(paul) & ~humble(paul)) <=> ? [X0] : (brave(X0) | rich(X0)) [input p4]
8. ! [X0] : ((~calm(X0) <~> brave(X0)) => (~rich(X0) ... | 0 |
Everyone who is not patient or old is old or not funny. If susan is tall then paul is either not funny or funny. Everyone who is either not brave or not creative is either not curious or not calm and vice versa. Everyone who is not quiet or not humble is not rich or creative and vice versa. If lucy is either calm or ge... | John is not happy. | neutral | (![X]:((~patient(X)|old(X))=>(old(X)|~funny(X))))&
((tall(susan))=>((~funny(paul)<~>funny(paul))))&
(![X]:((~brave(X)<~>~creative(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:((~quiet(X)|~humble(X))<=>(~rich(X)|creative(X))))&
(((calm(lucy)<~>generous(lucy)))=>((patient(susan)<~>curious(susan))))&
(((~generous(fred)|brave(f... | ~happy(john) | [] | null | 0 |
If john is kind or not generous then fred is quiet or wise.
Everyone who is both not funny and not patient is both not patient and quiet and vice versa.
Everyone who is not rich is strong and vice versa.
If someone is both not patient and not humble then someone is not wise.
Everyone who is either humble or curious is ... | Paul is calm. | contradiction | (((kind(john)|~generous(john)))=>((quiet(fred)|wise(fred))))&
(![X]:((~funny(X)&~patient(X))<=>(~patient(X)&quiet(X))))&
(![X]:(~rich(X)<=>strong(X)))&
((?[X]:((~patient(X)&~humble(X))))=>(?[X]:(~wise(X))))&
(![X]:((humble(X)<~>curious(X))<=>(~kind(X)&~calm(X))))&
((~generous(susan))=>(?[X]:((~calm(X)|~tall(X)))))&
(![... | calm(paul) | [
"p2",
"p8",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 797934926747504940378445
% SZS output start Proof for 797934926747504940378445
3. ! [X0] : (~rich(X0) <=> strong(X0)) [input p2]
9. ! [X0] : ((~humble(X0) <~> ~rich(X0)) <=> calm(X0)) [input p8]
11. ! [X0] : (~happy(X0) <=> (~happy(X0) <~> ~humble(X0))) [input p10]
22. ~strong(paul) & old... | 0 |
Everyone who is generous or not quiet is both kind and generous and vice versa.
If mary is not creative then fred is both humble and strong and vice versa.
If someone is both not strong and curious then someone is either not generous or not strong.
If someone is not tall or not strong then fred is not generous.
Everyon... | John is not funny. | neutral | (![X]:((generous(X)|~quiet(X))<=>(kind(X)&generous(X))))&
((~creative(mary))<=>((humble(fred)&strong(fred))))&
((?[X]:((~strong(X)&curious(X))))=>(?[X]:((~generous(X)<~>~strong(X)))))&
((?[X]:((~tall(X)|~strong(X))))=>(~generous(fred)))&
(![X]:((generous(X)|old(X))<=>(brave(X)&curious(X))))&
(![X]:(~old(X)<=>(~strong(X... | ~funny(john) | [] | null | 0 |
Everyone who is tall or quiet is either not happy or not patient and vice versa. Everyone who is not curious or not calm is not generous or not brave and vice versa. Everyone who is not brave or not happy is rich or brave and vice versa. Everyone who is both not old and rich is both not tall and not strong. If susan is... | Susan is not humble. | neutral | (![X]:((tall(X)|quiet(X))<=>(~happy(X)<~>~patient(X))))&
(![X]:((~curious(X)|~calm(X))<=>(~generous(X)|~brave(X))))&
(![X]:((~brave(X)|~happy(X))<=>(rich(X)|brave(X))))&
(![X]:((~old(X)&rich(X))=>(~tall(X)&~strong(X))))&
(((~humble(susan)&~wise(susan)))=>(?[X]:((tall(X)|~rich(X)))))&
(![X]:((~wise(X)&funny(X))=>(~funny... | ~humble(susan) | [] | null | 0 |
If lucy is not creative or not humble then john is not curious and vice versa. If paul is quiet then someone is both kind and not strong. If john is both not old and not patient then lucy is either rich or not wise. If someone is not funny or not creative then someone is both not kind and not rich. Everyone who is both... | John is not old. | neutral | (((~creative(lucy)|~humble(lucy)))<=>(~curious(john)))&
((quiet(paul))=>(?[X]:((kind(X)&~strong(X)))))&
(((~old(john)&~patient(john)))=>((rich(lucy)<~>~wise(lucy))))&
((?[X]:((~funny(X)|~creative(X))))=>(?[X]:((~kind(X)&~rich(X)))))&
(![X]:((tall(X)&happy(X))<=>patient(X)))&
(![X]:((humble(X)<~>tall(X))<=>(~old(X)|~hap... | ~old(john) | [] | null | 0 |
Everyone who is either old or calm is either curious or wise and vice versa. Everyone who is curious is both not creative and brave and vice versa. If paul is both not patient and not calm then fred is either not wise or rich. If alice is either not rich or rich then fred is both not curious and not strong and vice ver... | Alice is not strong. | neutral | (![X]:((old(X)<~>calm(X))<=>(curious(X)<~>wise(X))))&
(![X]:(curious(X)<=>(~creative(X)&brave(X))))&
(((~patient(paul)&~calm(paul)))=>((~wise(fred)<~>rich(fred))))&
(((~rich(alice)<~>rich(alice)))<=>((~curious(fred)&~strong(fred))))&
(![X]:((~happy(X)<~>funny(X))<=>strong(X)))&
(![X]:((~tall(X)&~old(X))=>(patient(X)|~p... | ~strong(alice) | [] | null | 0 |
Everyone who is not old is both wise and not wise.
If john is not calm then mary is humble.
Everyone who is either not rich or calm is either not funny or quiet.
Everyone who is both not generous and tall is brave and vice versa.
If lucy is not happy or funny then john is both humble and happy and vice versa.
Everyone ... | Mary is generous. | contradiction | (![X]:(~old(X)=>(wise(X)&~wise(X))))&
((~calm(john))=>(humble(mary)))&
(![X]:((~rich(X)<~>calm(X))=>(~funny(X)<~>quiet(X))))&
(![X]:((~generous(X)&tall(X))<=>brave(X)))&
(((~happy(lucy)|funny(lucy)))<=>((humble(john)&happy(john))))&
(![X]:((funny(X)&brave(X))<=>(curious(X)<~>generous(X))))&
(![X]:((strong(X)<~>~old(X))... | generous(mary) | [
"p3",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 704839030731269271444715
% SZS output start Proof for 704839030731269271444715
4. ! [X0] : ((tall(X0) & ~generous(X0)) <=> brave(X0)) [input p3]
23. old(mary) & brave(mary) [input p22]
25. generous(mary) [input hypothesis]
34. ! [X0] : (((tall(X0) & ~generous(X0)) | ~brave(X0)) & (brave(X... | 0 |
If alice is not patient or not calm then fred is brave or humble. Everyone who is not kind is either not generous or quiet. If fred is tall then paul is strong or not quiet. Everyone who is not funny is not curious and vice versa. Everyone who is either rich or calm is not generous or curious. Everyone who is old or wi... | John is not happy. | neutral | (((~patient(alice)|~calm(alice)))=>((brave(fred)|humble(fred))))&
(![X]:(~kind(X)=>(~generous(X)<~>quiet(X))))&
((tall(fred))=>((strong(paul)|~quiet(paul))))&
(![X]:(~funny(X)<=>~curious(X)))&
(![X]:((rich(X)<~>calm(X))=>(~generous(X)|curious(X))))&
(![X]:((old(X)|wise(X))<=>(quiet(X)&~wise(X))))&
((?[X]:((old(X)&~funn... | ~happy(john) | [] | null | 0 |
Everyone who is not rich is not generous or brave and vice versa. If john is wise or funny then john is not calm or creative. Everyone who is either old or happy is brave or humble and vice versa. Everyone who is calm is both curious and not curious. If john is not strong then someone is both old and tall. If someone i... | Fred is not creative. | neutral | (![X]:(~rich(X)<=>(~generous(X)|brave(X))))&
(((wise(john)|funny(john)))=>((~calm(john)|creative(john))))&
(![X]:((old(X)<~>happy(X))<=>(brave(X)|humble(X))))&
(![X]:(calm(X)=>(curious(X)&~curious(X))))&
((~strong(john))=>(?[X]:((old(X)&tall(X)))))&
((?[X]:((~calm(X)|~brave(X))))<=>((strong(susan)<~>patient(susan))))&
... | ~creative(fred) | [] | null | 0 |
If lucy is not calm then susan is both not patient and not creative. Everyone who is both patient and happy is generous. Everyone who is not wise is either not tall or not old. Everyone who is rich is not generous or brave. Everyone who is funny is happy or not tall and vice versa. Everyone who is not quiet is not humb... | Alice is not old. | contradiction | ((~calm(lucy))=>((~patient(susan)&~creative(susan))))&
(![X]:((patient(X)&happy(X))=>generous(X)))&
(![X]:(~wise(X)=>(~tall(X)<~>~old(X))))&
(![X]:(rich(X)=>(~generous(X)|brave(X))))&
(![X]:(funny(X)<=>(happy(X)|~tall(X))))&
(![X]:(~quiet(X)<=>(~humble(X)|generous(X))))&
(![X]:(~old(X)=>(~happy(X)&calm(X))))&
(![X]:((~... | ~old(alice) | [
"p2",
"p4",
"p6",
"p7",
"p13",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3503576030287096504491072
% SZS output start Proof for 3503576030287096504491072
3. ! [X0] : (~wise(X0) => (~tall(X0) <~> ~old(X0))) [input p2]
5. ! [X0] : (funny(X0) <=> (~tall(X0) | happy(X0))) [input p4]
7. ! [X0] : (~old(X0) => (calm(X0) & ~happy(X0))) [input p6]
8. ! [X0] : ((~happy(... | 0 |
Everyone who is both not kind and generous is both not calm and patient. If paul is brave or generous then john is either not generous or not happy and vice versa. Everyone who is both patient and kind is either not rich or not old. If someone is not tall then alice is both calm and patient. If someone is both kind and... | Susan is not kind. | neutral | (![X]:((~kind(X)&generous(X))=>(~calm(X)&patient(X))))&
(((brave(paul)|generous(paul)))<=>((~generous(john)<~>~happy(john))))&
(![X]:((patient(X)&kind(X))=>(~rich(X)<~>~old(X))))&
((?[X]:(~tall(X)))=>((calm(alice)&patient(alice))))&
((?[X]:((kind(X)&rich(X))))<=>(humble(susan)))&
(![X]:(rich(X)<=>~patient(X)))&
((?[X]:... | ~kind(susan) | [] | null | 0 |
If alice is both not quiet and not humble then someone is both rich and happy and vice versa. Everyone who is happy or not patient is patient or not patient. Everyone who is curious or not funny is both creative and not funny and vice versa. Everyone who is tall is not generous. Everyone who is either creative or not k... | Alice is not quiet. | neutral | (((~quiet(alice)&~humble(alice)))<=>(?[X]:((rich(X)&happy(X)))))&
(![X]:((happy(X)|~patient(X))=>(patient(X)|~patient(X))))&
(![X]:((curious(X)|~funny(X))<=>(creative(X)&~funny(X))))&
(![X]:(tall(X)=>~generous(X)))&
(![X]:((creative(X)<~>~kind(X))<=>~old(X)))&
(![X]:((quiet(X)|~strong(X))=>(happy(X)|kind(X))))&
(![X]:(... | ~quiet(alice) | [] | null | 0 |
Everyone who is both not rich and not old is not curious and vice versa.
Everyone who is both strong and not wise is either not rich or quiet and vice versa.
Everyone who is either creative or humble is not old.
Everyone who is not funny or happy is both not calm and not strong.
If fred is not quiet then alice is not h... | Fred is not old. | neutral | (![X]:((~rich(X)&~old(X))<=>~curious(X)))&
(![X]:((strong(X)&~wise(X))<=>(~rich(X)<~>quiet(X))))&
(![X]:((creative(X)<~>humble(X))=>~old(X)))&
(![X]:((~funny(X)|happy(X))=>(~calm(X)&~strong(X))))&
((~quiet(fred))=>((~humble(alice)|tall(alice))))&
(![X]:((~humble(X)<~>wise(X))<=>(happy(X)&~patient(X))))&
((?[X]:((happy(... | ~old(fred) | [] | null | 0 |
Everyone who is generous is patient or not happy and vice versa.
Everyone who is generous is wise and vice versa.
If alice is either creative or calm then someone is both not curious and brave.
If someone is either not generous or strong then john is not rich or funny.
If alice is either curious or not curious then som... | John is tall. | neutral | (![X]:(generous(X)<=>(patient(X)|~happy(X))))&
(![X]:(generous(X)<=>wise(X)))&
(((creative(alice)<~>calm(alice)))=>(?[X]:((~curious(X)&brave(X)))))&
((?[X]:((~generous(X)<~>strong(X))))=>((~rich(john)|funny(john))))&
(((curious(alice)<~>~curious(alice)))<=>(?[X]:((~generous(X)|calm(X)))))&
(((curious(alice)|patient(ali... | tall(john) | [] | null | 0 |
If someone is both creative and patient then someone is both quiet and strong and vice versa. Everyone who is not old or curious is both happy and not strong. Everyone who is both not quiet and generous is not tall. If someone is both funny and happy then someone is both brave and happy. Everyone who is either not funn... | Fred is quiet. | entailment | ((?[X]:((creative(X)&patient(X))))<=>(?[X]:((quiet(X)&strong(X)))))&
(![X]:((~old(X)|curious(X))=>(happy(X)&~strong(X))))&
(![X]:((~quiet(X)&generous(X))=>~tall(X)))&
((?[X]:((funny(X)&happy(X))))=>(?[X]:((brave(X)&happy(X)))))&
(![X]:((~funny(X)<~>funny(X))<=>(happy(X)&~old(X))))&
((?[X]:(~tall(X)))=>(?[X]:((~humble(X... | quiet(fred) | [
"p1",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 491649493500890394301145
% SZS output start Proof for 491649493500890394301145
2. ! [X0] : ((curious(X0) | ~old(X0)) => (~strong(X0) & happy(X0))) [input p1]
5. ! [X0] : ((~funny(X0) <~> funny(X0)) <=> (~old(X0) & happy(X0))) [input p4]
9. ! [X0] : ((happy(X0) & quiet(X0)) <=> ~strong(X0)... | 0 |
If someone is not creative or happy then fred is either quiet or strong. If paul is happy then someone is not funny and vice versa. If john is both not curious and quiet then susan is either not patient or not calm and vice versa. Everyone who is both not brave and generous is happy or strong and vice versa. Everyone w... | John is curious. | entailment | ((?[X]:((~creative(X)|happy(X))))=>((quiet(fred)<~>strong(fred))))&
((happy(paul))<=>(?[X]:(~funny(X))))&
(((~curious(john)&quiet(john)))<=>((~patient(susan)<~>~calm(susan))))&
(![X]:((~brave(X)&generous(X))<=>(happy(X)|strong(X))))&
(![X]:(~wise(X)=>(~old(X)<~>happy(X))))&
(((tall(mary)|~curious(mary)))<=>((~rich(susa... | curious(john) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4906745154795369855364269
% SZS output start Proof for 4906745154795369855364269
15. ! [X0] : ((kind(X0) | ~kind(X0)) <=> curious(X0)) [input p14]
23. ~curious(john) [input hypothesis]
54. ! [X0] : (((kind(X0) | ~kind(X0)) | ~curious(X0)) & (curious(X0) | (~kind(X0) & kind(X0)))) [nnf tra... | 0 |
Everyone who is creative or not happy is both not tall and calm and vice versa.
Everyone who is not funny or not humble is not generous or curious and vice versa.
If someone is humble then mary is either not happy or not brave and vice versa.
Everyone who is curious is not generous or not creative.
Everyone who is eith... | Alice is wise. | entailment | (![X]:((creative(X)|~happy(X))<=>(~tall(X)&calm(X))))&
(![X]:((~funny(X)|~humble(X))<=>(~generous(X)|curious(X))))&
((?[X]:(humble(X)))<=>((~happy(mary)<~>~brave(mary))))&
(![X]:(curious(X)=>(~generous(X)|~creative(X))))&
(![X]:((~calm(X)<~>~brave(X))=>(patient(X)&~kind(X))))&
(![X]:(~patient(X)<=>(~wise(X)<~>humble(X)... | wise(alice) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p7",
"p11",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6799710528550142577848818
% SZS output start Proof for 6799710528550142577848818
1. ! [X0] : ((~happy(X0) | creative(X0)) <=> (calm(X0) & ~tall(X0))) [input p0]
2. ! [X0] : ((~humble(X0) | ~funny(X0)) <=> (curious(X0) | ~generous(X0))) [input p1]
5. ! [X0] : ((~calm(X0) <~> ~brave(X0)) =>... | 0 |
Everyone who is not strong is both not generous and not rich.
If lucy is both curious and not calm then lucy is strong.
Everyone who is both curious and rich is both not brave and funny.
If fred is generous or strong then fred is creative or quiet and vice versa.
Everyone who is both humble and old is rich.
Everyone wh... | Fred is quiet. | neutral | (![X]:(~strong(X)=>(~generous(X)&~rich(X))))&
(((curious(lucy)&~calm(lucy)))=>(strong(lucy)))&
(![X]:((curious(X)&rich(X))=>(~brave(X)&funny(X))))&
(((generous(fred)|strong(fred)))<=>((creative(fred)|quiet(fred))))&
(![X]:((humble(X)&old(X))=>rich(X)))&
(![X]:((rich(X)<~>funny(X))<=>~brave(X)))&
((?[X]:(kind(X)))<=>(?[... | quiet(fred) | [] | null | 0 |
Everyone who is either rich or not generous is not funny or humble.
Everyone who is not patient or humble is either not curious or generous and vice versa.
Everyone who is either not creative or patient is both not kind and not creative.
Everyone who is either not calm or patient is creative or not wise and vice versa.... | Paul is wise. | neutral | (![X]:((rich(X)<~>~generous(X))=>(~funny(X)|humble(X))))&
(![X]:((~patient(X)|humble(X))<=>(~curious(X)<~>generous(X))))&
(![X]:((~creative(X)<~>patient(X))=>(~kind(X)&~creative(X))))&
(![X]:((~calm(X)<~>patient(X))<=>(creative(X)|~wise(X))))&
(![X]:((~tall(X)<~>generous(X))=>(~funny(X)|~quiet(X))))&
(((~wise(alice)|br... | wise(paul) | [] | null | 0 |
If someone is rich then lucy is not generous or brave. Everyone who is either wise or creative is both not quiet and quiet and vice versa. Everyone who is old is not happy or not curious and vice versa. Everyone who is both calm and not quiet is not old and vice versa. Everyone who is not generous is wise and vice vers... | Mary is rich. | contradiction | ((?[X]:(rich(X)))=>((~generous(lucy)|brave(lucy))))&
(![X]:((wise(X)<~>creative(X))<=>(~quiet(X)&quiet(X))))&
(![X]:(old(X)<=>(~happy(X)|~curious(X))))&
(![X]:((calm(X)&~quiet(X))<=>~old(X)))&
(![X]:(~generous(X)<=>wise(X)))&
((~funny(john))<=>((funny(mary)<~>~rich(mary))))&
(![X]:((~rich(X)&~generous(X))=>(~patient(X)... | rich(mary) | [
"p0",
"p1",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3210506500764115103803392
% SZS output start Proof for 3210506500764115103803392
1. ? [X0] : rich(X0) => (brave(lucy) | ~generous(lucy)) [input p0]
2. ! [X0] : ((wise(X0) <~> creative(X0)) <=> (quiet(X0) & ~quiet(X0))) [input p1]
5. ! [X0] : (~generous(X0) <=> wise(X0)) [input p4]
10. ! [... | 0 |
If mary is not funny then someone is both not calm and patient and vice versa.
Everyone who is both patient and not curious is either not kind or wise and vice versa.
If susan is not brave then susan is both not brave and not funny.
If someone is not patient or generous then someone is both creative and wise and vice v... | Paul is patient. | entailment | ((~funny(mary))<=>(?[X]:((~calm(X)&patient(X)))))&
(![X]:((patient(X)&~curious(X))<=>(~kind(X)<~>wise(X))))&
((~brave(susan))=>((~brave(susan)&~funny(susan))))&
((?[X]:((~patient(X)|generous(X))))<=>(?[X]:((creative(X)&wise(X)))))&
((~strong(mary))=>(?[X]:((old(X)&wise(X)))))&
(![X]:((~kind(X)|~curious(X))=>(calm(X)<~>... | patient(paul) | [
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 691800675968086245341497
% SZS output start Proof for 691800675968086245341497
8. ! [X0] : ((~calm(X0) <~> patient(X0)) <=> (kind(X0) | ~patient(X0))) [input p7]
12. ! [X0] : ((~old(X0) & old(X0)) <=> (~curious(X0) | ~calm(X0))) [input p11]
23. ~patient(paul) [input hypothesis]
52. ! [X0]... | 0 |
Everyone who is not wise or not rich is either not tall or tall and vice versa. If someone is either not happy or curious then someone is either not curious or calm and vice versa. Everyone who is not funny or not creative is rich and vice versa. Everyone who is not patient is both tall and not happy and vice versa. Ev... | John is tall. | neutral | (![X]:((~wise(X)|~rich(X))<=>(~tall(X)<~>tall(X))))&
((?[X]:((~happy(X)<~>curious(X))))<=>(?[X]:((~curious(X)<~>calm(X)))))&
(![X]:((~funny(X)|~creative(X))<=>rich(X)))&
(![X]:(~patient(X)<=>(tall(X)&~happy(X))))&
(![X]:((old(X)&strong(X))=>(~happy(X)<~>~tall(X))))&
((?[X]:((~rich(X)&~patient(X))))=>((~calm(alice)|curi... | tall(john) | [] | null | 0 |
Everyone who is not creative is creative or not tall and vice versa.
Everyone who is both happy and not patient is either not strong or generous and vice versa.
Everyone who is generous is not tall and vice versa.
If susan is not humble then someone is humble or funny.
Everyone who is either not calm or patient is not ... | Fred is funny. | neutral | (![X]:(~creative(X)<=>(creative(X)|~tall(X))))&
(![X]:((happy(X)&~patient(X))<=>(~strong(X)<~>generous(X))))&
(![X]:(generous(X)<=>~tall(X)))&
((~humble(susan))=>(?[X]:((humble(X)|funny(X)))))&
(![X]:((~calm(X)<~>patient(X))<=>~old(X)))&
(![X]:(tall(X)=>(~strong(X)|~generous(X))))&
(![X]:((humble(X)<~>~quiet(X))=>(~ric... | funny(fred) | [] | null | 0 |
Everyone who is both creative and not kind is both not old and not tall.
Everyone who is either calm or kind is either wise or not curious.
Everyone who is both not quiet and humble is both wise and not happy and vice versa.
Everyone who is happy or not rich is not happy and vice versa.
If someone is both not patient a... | John is rich. | contradiction | (![X]:((creative(X)&~kind(X))=>(~old(X)&~tall(X))))&
(![X]:((calm(X)<~>kind(X))=>(wise(X)<~>~curious(X))))&
(![X]:((~quiet(X)&humble(X))<=>(wise(X)&~happy(X))))&
(![X]:((happy(X)|~rich(X))<=>~happy(X)))&
((?[X]:((~patient(X)&~brave(X))))<=>((~patient(mary)&~wise(mary))))&
(![X]:(wise(X)<=>(calm(X)<~>~tall(X))))&
(((kin... | rich(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 597548909734653712763648
% SZS output start Proof for 597548909734653712763648
4. ! [X0] : ((~rich(X0) | happy(X0)) <=> ~happy(X0)) [input p3]
24. rich(john) [input hypothesis]
45. ! [X0] : (((~rich(X0) | happy(X0)) | happy(X0)) & (~happy(X0) | (rich(X0) & ~happy(X0)))) [nnf transformatio... | 0 |
Everyone who is both humble and not strong is either not humble or not generous and vice versa.
Everyone who is funny is funny or not happy and vice versa.
Everyone who is not calm or brave is both not rich and not humble.
If mary is either not curious or tall then someone is both not patient and not old and vice versa... | Paul is not funny. | contradiction | (![X]:((humble(X)&~strong(X))<=>(~humble(X)<~>~generous(X))))&
(![X]:(funny(X)<=>(funny(X)|~happy(X))))&
(![X]:((~calm(X)|brave(X))=>(~rich(X)&~humble(X))))&
(((~curious(mary)<~>tall(mary)))<=>(?[X]:((~patient(X)&~old(X)))))&
((?[X]:(~funny(X)))=>((happy(lucy)<~>funny(lucy))))&
(![X]:((wise(X)|~happy(X))=>(old(X)<~>bra... | ~funny(paul) | [
"p4",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5608837965725359039844491
% SZS output start Proof for 5608837965725359039844491
5. ? [X0] : ~funny(X0) => (happy(lucy) <~> funny(lucy)) [input p4]
9. (funny(lucy) | ~wise(lucy)) <=> ? [X0] : (happy(X0) | ~strong(X0)) [input p8]
15. ! [X0] : ((happy(X0) | ~wise(X0)) <=> wise(X0)) [input p... | 0 |
If fred is strong then someone is strong or humble. If someone is both not curious and not old then alice is not kind and vice versa. If someone is happy or funny then someone is both not kind and kind. Everyone who is kind is not humble and vice versa. Everyone who is both not rich and rich is old or tall. Everyone wh... | Alice is not brave. | neutral | ((strong(fred))=>(?[X]:((strong(X)|humble(X)))))&
((?[X]:((~curious(X)&~old(X))))<=>(~kind(alice)))&
((?[X]:((happy(X)|funny(X))))=>(?[X]:((~kind(X)&kind(X)))))&
(![X]:(kind(X)<=>~humble(X)))&
(![X]:((~rich(X)&rich(X))=>(old(X)|tall(X))))&
(![X]:(~funny(X)<=>(curious(X)&~patient(X))))&
(![X]:((~humble(X)|patient(X))<=>... | ~brave(alice) | [] | null | 0 |
Everyone who is not humble is both strong and not strong and vice versa. If someone is humble then fred is either not old or not patient and vice versa. If lucy is curious then someone is brave or happy and vice versa. If someone is generous or not kind then fred is either happy or not curious. Everyone who is tall or ... | Alice is not humble. | contradiction | (![X]:(~humble(X)<=>(strong(X)&~strong(X))))&
((?[X]:(humble(X)))<=>((~old(fred)<~>~patient(fred))))&
((curious(lucy))<=>(?[X]:((brave(X)|happy(X)))))&
((?[X]:((generous(X)|~kind(X))))=>((happy(fred)<~>~curious(fred))))&
(![X]:((tall(X)|~tall(X))=>(wise(X)<~>~old(X))))&
(![X]:(happy(X)=>~patient(X)))&
(![X]:((~tall(X)&... | ~humble(alice) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5194040318066051484733624
% SZS output start Proof for 5194040318066051484733624
1. ! [X0] : (~humble(X0) <=> (~strong(X0) & strong(X0))) [input p0]
23. ~humble(alice) [input hypothesis]
36. ! [X0] : ((~humble(X0) | (strong(X0) | ~strong(X0))) & ((~strong(X0) & strong(X0)) | humble(X0))) ... | 0 |
Everyone who is either brave or not brave is both not calm and strong. Everyone who is either funny or rich is both funny and not humble and vice versa. If john is not old or creative then alice is either not kind or not quiet. Everyone who is either not strong or not old is funny or quiet. Everyone who is both generou... | Alice is not old. | entailment | (![X]:((brave(X)<~>~brave(X))=>(~calm(X)&strong(X))))&
(![X]:((funny(X)<~>rich(X))<=>(funny(X)&~humble(X))))&
(((~old(john)|creative(john)))=>((~kind(alice)<~>~quiet(alice))))&
(![X]:((~strong(X)<~>~old(X))=>(funny(X)|quiet(X))))&
(![X]:((generous(X)&~quiet(X))=>(patient(X)<~>brave(X))))&
((?[X]:((~tall(X)<~>wise(X))))... | ~old(alice) | [
"p0",
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1036662887368184815233703
% SZS output start Proof for 1036662887368184815233703
1. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (strong(X0) & ~calm(X0))) [input p0]
7. ? [X0] : (tall(X0) <~> ~quiet(X0)) => (~kind(susan) & calm(susan)) [input p6]
8. ! [X0] : ((~creative(X0) | ~happy(X0)) <=> (... | 0 |
If alice is both patient and not creative then someone is kind or happy. If someone is both not quiet and kind then john is both strong and generous. If someone is either funny or not generous then someone is either wise or not kind and vice versa. Everyone who is not generous is both not curious and not generous and v... | Fred is calm. | contradiction | (((patient(alice)&~creative(alice)))=>(?[X]:((kind(X)|happy(X)))))&
((?[X]:((~quiet(X)&kind(X))))=>((strong(john)&generous(john))))&
((?[X]:((funny(X)<~>~generous(X))))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:(~generous(X)<=>(~curious(X)&~generous(X))))&
(((~quiet(lucy)&~calm(lucy)))=>((quiet(john)<~>wise(john))))&
(((... | calm(fred) | [
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7193100542359220119549292
% SZS output start Proof for 7193100542359220119549292
11. ! [X0] : ((~strong(X0) | happy(X0)) => (~calm(X0) & humble(X0))) [input p10]
23. happy(fred) & brave(fred) [input p22]
24. calm(fred) [input hypothesis]
36. ! [X0] : ((~calm(X0) & humble(X0)) | (strong(X0... | 0 |
Everyone who is both not old and not rich is both rich and not tall and vice versa.
Everyone who is not old or not humble is both kind and creative.
Everyone who is both kind and not rich is both rich and not calm.
Everyone who is both curious and not patient is either humble or old and vice versa.
If someone is humble... | Mary is not funny. | contradiction | (![X]:((~old(X)&~rich(X))<=>(rich(X)&~tall(X))))&
(![X]:((~old(X)|~humble(X))=>(kind(X)&creative(X))))&
(![X]:((kind(X)&~rich(X))=>(rich(X)&~calm(X))))&
(![X]:((curious(X)&~patient(X))<=>(humble(X)<~>old(X))))&
((?[X]:((humble(X)|rich(X))))=>(~strong(mary)))&
((?[X]:(~generous(X)))<=>((calm(susan)|funny(susan))))&
(![X... | ~funny(mary) | [
"p1",
"p4",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 156989720912580375739781
% SZS output start Proof for 156989720912580375739781
2. ! [X0] : ((~humble(X0) | ~old(X0)) => (creative(X0) & kind(X0))) [input p1]
5. ? [X0] : (rich(X0) | humble(X0)) => ~strong(mary) [input p4]
11. ! [X0] : ((kind(X0) | ~curious(X0)) <=> ~creative(X0)) [input p... | 0 |
Everyone who is not curious or creative is happy or generous.
Everyone who is either not curious or not patient is calm.
If mary is brave then someone is brave and vice versa.
If someone is kind or not generous then alice is old and vice versa.
If alice is rich then someone is creative or not happy and vice versa.
If s... | John is curious. | neutral | (![X]:((~curious(X)|creative(X))=>(happy(X)|generous(X))))&
(![X]:((~curious(X)<~>~patient(X))=>calm(X)))&
((brave(mary))<=>(?[X]:(brave(X))))&
((?[X]:((kind(X)|~generous(X))))<=>(old(alice)))&
((rich(alice))<=>(?[X]:((creative(X)|~happy(X)))))&
((?[X]:((~humble(X)<~>~curious(X))))<=>((rich(fred)<~>old(fred))))&
((happ... | curious(john) | [] | null | 0 |
Everyone who is either quiet or not tall is not brave or not wise and vice versa. Everyone who is happy or not creative is not kind. If someone is either not happy or kind then someone is either kind or patient and vice versa. If paul is both happy and strong then fred is not quiet or old and vice versa. If alice is ei... | Fred is not strong. | contradiction | (![X]:((quiet(X)<~>~tall(X))<=>(~brave(X)|~wise(X))))&
(![X]:((happy(X)|~creative(X))=>~kind(X)))&
((?[X]:((~happy(X)<~>kind(X))))<=>(?[X]:((kind(X)<~>patient(X)))))&
(((happy(paul)&strong(paul)))<=>((~quiet(fred)|old(fred))))&
(((~old(alice)<~>curious(alice)))=>(~old(lucy)))&
((?[X]:((happy(X)<~>~old(X))))<=>(?[X]:((r... | ~strong(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 895486111752917374410104
% SZS output start Proof for 895486111752917374410104
12. ! [X0] : (~strong(X0) => strong(X0)) [input p11]
24. ~strong(fred) [input hypothesis]
36. ! [X0] : (strong(X0) | strong(X0)) [ennf transformation 12]
125. strong(X0) | strong(X0) [cnf transformation 36]
150... | 0 |
If someone is not creative or not generous then someone is both not funny and creative and vice versa. If john is either quiet or not kind then paul is either brave or not strong. Everyone who is either not happy or not quiet is generous or tall. Everyone who is either generous or not tall is rich and vice versa. If su... | John is brave. | entailment | ((?[X]:((~creative(X)|~generous(X))))<=>(?[X]:((~funny(X)&creative(X)))))&
(((quiet(john)<~>~kind(john)))=>((brave(paul)<~>~strong(paul))))&
(![X]:((~happy(X)<~>~quiet(X))=>(generous(X)|tall(X))))&
(![X]:((generous(X)<~>~tall(X))<=>rich(X)))&
(((~kind(susan)|humble(susan)))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
(((~humbl... | brave(john) | [
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7444803686596057169147471
% SZS output start Proof for 7444803686596057169147471
13. (~quiet(john) & patient(john)) <=> ? [X0] : (quiet(X0) & ~brave(X0)) [input p12]
19. quiet(john) [input p18]
25. ~brave(john) [input hypothesis]
69. ((~quiet(john) & patient(john)) | ! [X0] : (~quiet(X0) ... | 0 |
If mary is tall or patient then someone is either not strong or not generous and vice versa. Everyone who is either strong or not tall is rich or brave and vice versa. Everyone who is either tall or not humble is not patient. Everyone who is not patient is curious or not strong. Everyone who is tall or not creative is ... | Lucy is patient. | neutral | (((tall(mary)|patient(mary)))<=>(?[X]:((~strong(X)<~>~generous(X)))))&
(![X]:((strong(X)<~>~tall(X))<=>(rich(X)|brave(X))))&
(![X]:((tall(X)<~>~humble(X))=>~patient(X)))&
(![X]:(~patient(X)=>(curious(X)|~strong(X))))&
(![X]:((tall(X)|~creative(X))<=>(~brave(X)&strong(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>(?[X]:((humbl... | patient(lucy) | [] | null | 0 |
If someone is not wise then someone is either humble or brave.
Everyone who is patient is both not brave and not generous and vice versa.
Everyone who is both wise and tall is not patient.
If someone is not happy or tall then someone is both curious and strong and vice versa.
Everyone who is not kind or not generous is... | John is not tall. | contradiction | ((?[X]:(~wise(X)))=>(?[X]:((humble(X)<~>brave(X)))))&
(![X]:(patient(X)<=>(~brave(X)&~generous(X))))&
(![X]:((wise(X)&tall(X))=>~patient(X)))&
((?[X]:((~happy(X)|tall(X))))<=>(?[X]:((curious(X)&strong(X)))))&
(![X]:((~kind(X)|~generous(X))<=>(~curious(X)<~>~funny(X))))&
(![X]:((creative(X)&tall(X))<=>~generous(X)))&
(!... | ~tall(john) | [
"p1",
"p5",
"p7",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 351309915504252170838788
% SZS output start Proof for 351309915504252170838788
2. ! [X0] : (patient(X0) <=> (~generous(X0) & ~brave(X0))) [input p1]
6. ! [X0] : ((tall(X0) & creative(X0)) <=> ~generous(X0)) [input p5]
8. ! [X0] : (generous(X0) <=> (~quiet(X0) & ~happy(X0))) [input p7]
9. ... | 0 |
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