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 |
|---|---|---|---|---|---|---|---|
Everyone who is both old and brave is quiet.
Everyone who is both not tall and not kind is not rich or not curious and vice versa.
Everyone who is both humble and not quiet is both kind and rich and vice versa.
If someone is quiet or not funny then susan is both brave and creative and vice versa.
If john is both brave ... | Susan is not brave. | contradiction | (![X]:((old(X)&brave(X))=>quiet(X)))&
(![X]:((~tall(X)&~kind(X))<=>(~rich(X)|~curious(X))))&
(![X]:((humble(X)&~quiet(X))<=>(kind(X)&rich(X))))&
((?[X]:((quiet(X)|~funny(X))))<=>((brave(susan)&creative(susan))))&
(((brave(john)&~happy(john)))=>(?[X]:(~creative(X))))&
(![X]:(rich(X)=>(patient(X)<~>~strong(X))))&
(((~pat... | ~brave(susan) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5639664496866083803152863
% SZS output start Proof for 5639664496866083803152863
24. brave(susan) [input p23]
25. ~brave(susan) [input hypothesis]
130. brave(susan) [cnf transformation 24]
131. ~brave(susan) [cnf transformation 25]
136. 1 <=> brave(susan) [avatar definition]
267. 1 [avata... | 0 |
Everyone who is either not generous or funny is both not quiet and not creative and vice versa.
Everyone who is rich or not funny is either creative or not funny.
Everyone who is curious is tall and vice versa.
If someone is either calm or not strong then fred is not creative or curious and vice versa.
Everyone who is ... | Paul is strong. | entailment | (![X]:((~generous(X)<~>funny(X))<=>(~quiet(X)&~creative(X))))&
(![X]:((rich(X)|~funny(X))=>(creative(X)<~>~funny(X))))&
(![X]:(curious(X)<=>tall(X)))&
((?[X]:((calm(X)<~>~strong(X))))<=>((~creative(fred)|curious(fred))))&
(![X]:((creative(X)<~>quiet(X))<=>(~patient(X)|~rich(X))))&
((?[X]:((old(X)&quiet(X))))=>(?[X]:((t... | strong(paul) | [
"p7",
"p8",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 128367013422174857319672
% SZS output start Proof for 128367013422174857319672
8. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> kind(X0)) [input p7]
9. (~generous(alice) | creative(alice)) => ~rich(paul) [input p8]
12. ! [X0] : ((~old(X0) | ~calm(X0)) <=> (creative(X0) & ~patient(X0))) [input p11... | 0 |
If someone is not calm or not strong then someone is both old and not kind.
Everyone who is not kind is either not creative or patient.
If paul is not patient or not funny then someone is both not curious and not quiet and vice versa.
Everyone who is either humble or not curious is either not tall or not wise.
Everyone... | Lucy is rich. | neutral | ((?[X]:((~calm(X)|~strong(X))))=>(?[X]:((old(X)&~kind(X)))))&
(![X]:(~kind(X)=>(~creative(X)<~>patient(X))))&
(((~patient(paul)|~funny(paul)))<=>(?[X]:((~curious(X)&~quiet(X)))))&
(![X]:((humble(X)<~>~curious(X))=>(~tall(X)<~>~wise(X))))&
(![X]:(tall(X)<=>(patient(X)<~>strong(X))))&
(![X]:((happy(X)&~calm(X))=>(strong(... | rich(lucy) | [] | null | 0 |
Everyone who is happy is either not creative or humble and vice versa.
Everyone who is either curious or not happy is not creative or not old and vice versa.
Everyone who is either funny or generous is either wise or not happy and vice versa.
If someone is old or not kind then susan is not curious or not rich.
Everyone... | Mary is not curious. | contradiction | (![X]:(happy(X)<=>(~creative(X)<~>humble(X))))&
(![X]:((curious(X)<~>~happy(X))<=>(~creative(X)|~old(X))))&
(![X]:((funny(X)<~>generous(X))<=>(wise(X)<~>~happy(X))))&
((?[X]:((old(X)|~kind(X))))=>((~curious(susan)|~rich(susan))))&
(![X]:(~patient(X)=>(~humble(X)&~curious(X))))&
((humble(john))<=>(?[X]:((~generous(X)<~>... | ~curious(mary) | [
"p0",
"p1",
"p9",
"p12",
"p16",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 732594275843960600391055
% SZS output start Proof for 732594275843960600391055
1. ! [X0] : (happy(X0) <=> (~creative(X0) <~> humble(X0))) [input p0]
2. ! [X0] : ((curious(X0) <~> ~happy(X0)) <=> (~old(X0) | ~creative(X0))) [input p1]
10. ? [X0] : (~funny(X0) | ~happy(X0)) => (happy(paul) ... | 0 |
Everyone who is not patient is either patient or not brave.
Everyone who is either not generous or old is not funny.
Everyone who is both strong and not quiet is either not humble or funny and vice versa.
Everyone who is patient is not wise.
Everyone who is both patient and creative is both not strong and tall and vice... | Lucy is not tall. | entailment | (![X]:(~patient(X)=>(patient(X)<~>~brave(X))))&
(![X]:((~generous(X)<~>old(X))=>~funny(X)))&
(![X]:((strong(X)&~quiet(X))<=>(~humble(X)<~>funny(X))))&
(![X]:(patient(X)=>~wise(X)))&
(![X]:((patient(X)&creative(X))<=>(~strong(X)&tall(X))))&
(![X]:((~brave(X)|~patient(X))=>~funny(X)))&
(![X]:((happy(X)|~tall(X))<=>(~gene... | ~tall(lucy) | [
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2523902120112889028717945
% SZS output start Proof for 2523902120112889028717945
7. ! [X0] : ((~tall(X0) | happy(X0)) <=> (~generous(X0) <~> generous(X0))) [input p6]
9. ! [X0] : ((kind(X0) | curious(X0)) => (~curious(X0) & ~old(X0))) [input p8]
14. (~old(alice) & curious(alice)) <=> ? [X... | 0 |
If someone is wise then susan is not kind or not wise.
Everyone who is happy or not humble is patient or humble.
Everyone who is not brave or tall is both not patient and not humble and vice versa.
Everyone who is both not old and tall is both not calm and not tall and vice versa.
If john is not kind or not strong then... | Fred is not kind. | contradiction | ((?[X]:(wise(X)))=>((~kind(susan)|~wise(susan))))&
(![X]:((happy(X)|~humble(X))=>(patient(X)|humble(X))))&
(![X]:((~brave(X)|tall(X))<=>(~patient(X)&~humble(X))))&
(![X]:((~old(X)&tall(X))<=>(~calm(X)&~tall(X))))&
(((~kind(john)|~strong(john)))<=>((~kind(fred)<~>wise(fred))))&
(![X]:((~funny(X)<~>patient(X))=>(~humble(... | ~kind(fred) | [
"p1",
"p2",
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 586311957924406183168561
% SZS output start Proof for 586311957924406183168561
2. ! [X0] : ((~humble(X0) | happy(X0)) => (humble(X0) | patient(X0))) [input p1]
3. ! [X0] : ((tall(X0) | ~brave(X0)) <=> (~humble(X0) & ~patient(X0))) [input p2]
4. ! [X0] : ((tall(X0) & ~old(X0)) <=> (~tall(X... | 0 |
If someone is not kind or not humble then someone is both not quiet and kind and vice versa. If paul is either not strong or not wise then fred is either not creative or old and vice versa. Everyone who is not generous or not happy is either not humble or kind. Everyone who is either happy or not creative is not quiet ... | Susan is not patient. | neutral | ((?[X]:((~kind(X)|~humble(X))))<=>(?[X]:((~quiet(X)&kind(X)))))&
(((~strong(paul)<~>~wise(paul)))<=>((~creative(fred)<~>old(fred))))&
(![X]:((~generous(X)|~happy(X))=>(~humble(X)<~>kind(X))))&
(![X]:((happy(X)<~>~creative(X))<=>~quiet(X)))&
(![X]:((kind(X)<~>~wise(X))=>(~curious(X)&~funny(X))))&
(![X]:((generous(X)|~cu... | ~patient(susan) | [] | null | 0 |
Everyone who is not rich is either not quiet or old and vice versa.
Everyone who is not patient is both not patient and tall.
If john is both not rich and happy then someone is both funny and not funny.
If susan is either happy or not generous then mary is not tall.
If someone is both not quiet and not rich then someon... | John is humble. | neutral | (![X]:(~rich(X)<=>(~quiet(X)<~>old(X))))&
(![X]:(~patient(X)=>(~patient(X)&tall(X))))&
(((~rich(john)&happy(john)))=>(?[X]:((funny(X)&~funny(X)))))&
(((happy(susan)<~>~generous(susan)))=>(~tall(mary)))&
((?[X]:((~quiet(X)&~rich(X))))<=>(?[X]:(tall(X))))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:(funny(X))))&
(![X]:(hap... | humble(john) | [] | null | 0 |
Everyone who is curious or not kind is not calm.
Everyone who is not kind or funny is either not rich or quiet.
Everyone who is not creative or not happy is either not kind or tall and vice versa.
Everyone who is either not humble or brave is not tall or not wise.
Everyone who is both calm and tall is not wise and vice... | Alice is tall. | neutral | (![X]:((curious(X)|~kind(X))=>~calm(X)))&
(![X]:((~kind(X)|funny(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((~creative(X)|~happy(X))<=>(~kind(X)<~>tall(X))))&
(![X]:((~humble(X)<~>brave(X))=>(~tall(X)|~wise(X))))&
(![X]:((calm(X)&tall(X))<=>~wise(X)))&
(![X]:((~humble(X)<~>~creative(X))=>~generous(X)))&
(![X]:((~strong(X)&~c... | tall(alice) | [] | null | 0 |
If mary is not humble or not generous then alice is both not quiet and generous.
If someone is both not old and patient then someone is not rich or kind and vice versa.
Everyone who is both not tall and not humble is not quiet or humble and vice versa.
Everyone who is not calm or funny is both not rich and not brave an... | Alice is not tall. | entailment | (((~humble(mary)|~generous(mary)))=>((~quiet(alice)&generous(alice))))&
((?[X]:((~old(X)&patient(X))))<=>(?[X]:((~rich(X)|kind(X)))))&
(![X]:((~tall(X)&~humble(X))<=>(~quiet(X)|humble(X))))&
(![X]:((~calm(X)|funny(X))<=>(~rich(X)&~brave(X))))&
(((~patient(fred)&curious(fred)))<=>(?[X]:(wise(X))))&
((?[X]:((~kind(X)<~>f... | ~tall(alice) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2972279208887145093691050
% SZS output start Proof for 2972279208887145093691050
1. (~generous(mary) | ~humble(mary)) => (generous(alice) & ~quiet(alice)) [input p0]
3. ! [X0] : ((~humble(X0) & ~tall(X0)) <=> (humble(X0) | ~quiet(X0))) [input p2]
25. tall(alice) [input hypothesis]
30. (ge... | 0 |
If someone is both not quiet and not strong then someone is either generous or rich and vice versa. If lucy is both not curious and calm then alice is either not creative or not patient. Everyone who is kind is both not funny and not curious. If someone is both strong and brave then someone is both brave and not patien... | Fred is strong. | contradiction | ((?[X]:((~quiet(X)&~strong(X))))<=>(?[X]:((generous(X)<~>rich(X)))))&
(((~curious(lucy)&calm(lucy)))=>((~creative(alice)<~>~patient(alice))))&
(![X]:(kind(X)=>(~funny(X)&~curious(X))))&
((?[X]:((strong(X)&brave(X))))=>(?[X]:((brave(X)&~patient(X)))))&
(![X]:((strong(X)|rich(X))=>(~tall(X)|happy(X))))&
((curious(fred))<... | strong(fred) | [
"p4",
"p6",
"p7",
"p10",
"p13",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2177935253035665406436806
% SZS output start Proof for 2177935253035665406436806
5. ! [X0] : ((rich(X0) | strong(X0)) => (happy(X0) | ~tall(X0))) [input p4]
7. ! [X0] : ((~tall(X0) & quiet(X0)) <=> (~old(X0) & ~rich(X0))) [input p6]
8. ! [X0] : ((calm(X0) & curious(X0)) <=> (~quiet(X0) | ... | 0 |
If someone is rich then someone is either patient or creative and vice versa.
Everyone who is brave is either not curious or not quiet and vice versa.
If paul is both not strong and not wise then someone is brave.
If mary is kind or not tall then susan is generous or not humble.
If someone is generous then john is eith... | John is quiet. | neutral | ((?[X]:(rich(X)))<=>(?[X]:((patient(X)<~>creative(X)))))&
(![X]:(brave(X)<=>(~curious(X)<~>~quiet(X))))&
(((~strong(paul)&~wise(paul)))=>(?[X]:(brave(X))))&
(((kind(mary)|~tall(mary)))=>((generous(susan)|~humble(susan))))&
((?[X]:(generous(X)))<=>((quiet(john)<~>strong(john))))&
(![X]:((~rich(X)<~>patient(X))=>rich(X))... | quiet(john) | [] | null | 0 |
If alice is happy or not calm then someone is creative.
Everyone who is not funny or not generous is either humble or not rich and vice versa.
Everyone who is happy is not calm.
If paul is both generous and not brave then mary is strong or patient.
Everyone who is both happy and quiet is both rich and calm and vice ver... | Lucy is not old. | contradiction | (((happy(alice)|~calm(alice)))=>(?[X]:(creative(X))))&
(![X]:((~funny(X)|~generous(X))<=>(humble(X)<~>~rich(X))))&
(![X]:(happy(X)=>~calm(X)))&
(((generous(paul)&~brave(paul)))=>((strong(mary)|patient(mary))))&
(![X]:((happy(X)&quiet(X))<=>(rich(X)&calm(X))))&
(![X]:((~humble(X)&~tall(X))<=>(calm(X)&happy(X))))&
(![X]:... | ~old(lucy) | [
"p2",
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9060650020337589022213236
% SZS output start Proof for 9060650020337589022213236
3. ! [X0] : (happy(X0) => ~calm(X0)) [input p2]
5. ! [X0] : ((quiet(X0) & happy(X0)) <=> (calm(X0) & rich(X0))) [input p4]
7. ! [X0] : ((~old(X0) | ~tall(X0)) => (calm(X0) & ~happy(X0))) [input p6]
11. (~happ... | 0 |
If someone is not generous then paul is calm or not wise and vice versa. If someone is not generous or not wise then susan is both not kind and not old. If alice is either generous or patient then someone is not creative or not humble. Everyone who is both brave and not humble is patient or not kind and vice versa. Eve... | Fred is kind. | contradiction | ((?[X]:(~generous(X)))<=>((calm(paul)|~wise(paul))))&
((?[X]:((~generous(X)|~wise(X))))=>((~kind(susan)&~old(susan))))&
(((generous(alice)<~>patient(alice)))=>(?[X]:((~creative(X)|~humble(X)))))&
(![X]:((brave(X)&~humble(X))<=>(patient(X)|~kind(X))))&
(![X]:((~old(X)<~>~brave(X))=>(rich(X)|curious(X))))&
((?[X]:((~brav... | kind(fred) | [
"p5",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6907507050512623350630302
% SZS output start Proof for 6907507050512623350630302
6. ? [X0] : (kind(X0) | ~brave(X0)) => (creative(mary) & tall(mary)) [input p5]
12. ! [X0] : ((~calm(X0) & ~creative(X0)) <=> (generous(X0) | funny(X0))) [input p11]
19. ~happy(mary) & funny(mary) [input p18]... | 0 |
If alice is old or strong then lucy is both rich and calm and vice versa.
Everyone who is not tall or rich is either not quiet or not kind and vice versa.
Everyone who is not wise or not quiet is both kind and rich.
If alice is not creative or not generous then someone is not curious or not old.
If someone is not gener... | Fred is not wise. | contradiction | (((old(alice)|strong(alice)))<=>((rich(lucy)&calm(lucy))))&
(![X]:((~tall(X)|rich(X))<=>(~quiet(X)<~>~kind(X))))&
(![X]:((~wise(X)|~quiet(X))=>(kind(X)&rich(X))))&
(((~creative(alice)|~generous(alice)))=>(?[X]:((~curious(X)|~old(X)))))&
((?[X]:(~generous(X)))=>((creative(lucy)&patient(lucy))))&
(![X]:((rich(X)&kind(X))... | ~wise(fred) | [
"p2",
"p6",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 656928305439646735693248
% SZS output start Proof for 656928305439646735693248
3. ! [X0] : ((~quiet(X0) | ~wise(X0)) => (rich(X0) & kind(X0))) [input p2]
7. ! [X0] : ((~kind(X0) <~> ~tall(X0)) <=> ~creative(X0)) [input p6]
8. ! [X0] : ((~wise(X0) & creative(X0)) <=> (rich(X0) & ~tall(X0))... | 0 |
Everyone who is either not quiet or patient is either not brave or not old. Everyone who is both tall and not quiet is not curious or not tall and vice versa. If someone is not happy then someone is calm or not happy. Everyone who is brave is wise and vice versa. If john is both not creative and patient then someone is... | Lucy is rich. | entailment | (![X]:((~quiet(X)<~>patient(X))=>(~brave(X)<~>~old(X))))&
(![X]:((tall(X)&~quiet(X))<=>(~curious(X)|~tall(X))))&
((?[X]:(~happy(X)))=>(?[X]:((calm(X)|~happy(X)))))&
(![X]:(brave(X)<=>wise(X)))&
(((~creative(john)&patient(john)))=>(?[X]:((~rich(X)|generous(X)))))&
(((~calm(john)<~>~rich(john)))=>(?[X]:(~creative(X))))&
... | rich(lucy) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2410170804962144820736504
% SZS output start Proof for 2410170804962144820736504
2. ! [X0] : ((~quiet(X0) & tall(X0)) <=> (~tall(X0) | ~curious(X0))) [input p1]
13. ! [X0] : ((rich(X0) <~> ~curious(X0)) <=> quiet(X0)) [input p12]
22. ~rich(lucy) [input hypothesis]
42. ! [X0] : (((~quiet(X... | 0 |
If paul is not quiet then lucy is not rich and vice versa.
If john is either not generous or not wise then someone is both not brave and not tall.
If someone is old then someone is both kind and not wise and vice versa.
Everyone who is not tall is kind or wise and vice versa.
Everyone who is both funny and not rich is ... | Mary is not curious. | neutral | ((~quiet(paul))<=>(~rich(lucy)))&
(((~generous(john)<~>~wise(john)))=>(?[X]:((~brave(X)&~tall(X)))))&
((?[X]:(old(X)))<=>(?[X]:((kind(X)&~wise(X)))))&
(![X]:(~tall(X)<=>(kind(X)|wise(X))))&
(![X]:((funny(X)&~rich(X))<=>(funny(X)|~rich(X))))&
(![X]:((~generous(X)|~humble(X))=>(strong(X)|creative(X))))&
(![X]:((~patient(... | ~curious(mary) | [] | null | 0 |
If someone is both tall and rich then someone is curious or humble. Everyone who is either creative or not tall is both not quiet and not tall. If paul is either not generous or not kind then someone is not generous and vice versa. Everyone who is both not patient and strong is not patient. If someone is either not hap... | Lucy is not creative. | entailment | ((?[X]:((tall(X)&rich(X))))=>(?[X]:((curious(X)|humble(X)))))&
(![X]:((creative(X)<~>~tall(X))=>(~quiet(X)&~tall(X))))&
(((~generous(paul)<~>~kind(paul)))<=>(?[X]:(~generous(X))))&
(![X]:((~patient(X)&strong(X))=>~patient(X)))&
((?[X]:((~happy(X)<~>humble(X))))<=>(~kind(fred)))&
((~funny(paul))<=>((brave(lucy)|quiet(lu... | ~creative(lucy) | [
"p8",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3470572818879013150387300
% SZS output start Proof for 3470572818879013150387300
9. ! [X0] : ((strong(X0) | humble(X0)) => (~wise(X0) & tall(X0))) [input p8]
11. ! [X0] : (~happy(X0) <=> creative(X0)) [input p10]
16. ? [X0] : (~happy(X0) | ~tall(X0)) => (~tall(susan) & ~funny(susan)) [inp... | 0 |
Everyone who is happy or not humble is not old and vice versa.
If mary is both not humble and not wise then someone is not generous.
Everyone who is either not brave or happy is calm or patient and vice versa.
Everyone who is either patient or not calm is either strong or creative and vice versa.
Everyone who is not st... | John is not kind. | neutral | (![X]:((happy(X)|~humble(X))<=>~old(X)))&
(((~humble(mary)&~wise(mary)))=>(?[X]:(~generous(X))))&
(![X]:((~brave(X)<~>happy(X))<=>(calm(X)|patient(X))))&
(![X]:((patient(X)<~>~calm(X))<=>(strong(X)<~>creative(X))))&
(![X]:(~strong(X)<=>(old(X)|~wise(X))))&
(((patient(john)<~>~rich(john)))=>(?[X]:(funny(X))))&
(![X]:((h... | ~kind(john) | [] | null | 0 |
If alice is not quiet or not happy then someone is not curious or not calm.
Everyone who is either funny or wise is either quiet or old and vice versa.
If paul is calm or strong then fred is not wise.
If someone is both not creative and old then someone is either humble or quiet.
Everyone who is kind is patient.
If fre... | Fred is wise. | contradiction | (((~quiet(alice)|~happy(alice)))=>(?[X]:((~curious(X)|~calm(X)))))&
(![X]:((funny(X)<~>wise(X))<=>(quiet(X)<~>old(X))))&
(((calm(paul)|strong(paul)))=>(~wise(fred)))&
((?[X]:((~creative(X)&old(X))))=>(?[X]:((humble(X)<~>quiet(X)))))&
(![X]:(kind(X)=>patient(X)))&
(((kind(fred)&quiet(fred)))<=>((wise(fred)<~>~calm(fred)... | wise(fred) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4807066806749569361405214
% SZS output start Proof for 4807066806749569361405214
3. (strong(paul) | calm(paul)) => ~wise(fred) [input p2]
19. calm(paul) [input p18]
25. wise(fred) [input hypothesis]
30. ~wise(fred) | (~strong(paul) & ~calm(paul)) [ennf transformation 3]
89. ~wise(fred) | ... | 0 |
Everyone who is both humble and not tall is either not tall or not curious.
If mary is either not old or happy then paul is both happy and creative.
Everyone who is both not creative and not kind is not old and vice versa.
If paul is either not calm or not tall then someone is either not strong or not brave and vice ve... | Paul is quiet. | entailment | (![X]:((humble(X)&~tall(X))=>(~tall(X)<~>~curious(X))))&
(((~old(mary)<~>happy(mary)))=>((happy(paul)&creative(paul))))&
(![X]:((~creative(X)&~kind(X))<=>~old(X)))&
(((~calm(paul)<~>~tall(paul)))<=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:(~old(X)<=>~happy(X)))&
(![X]:((~generous(X)<~>~humble(X))<=>(~old(X)<~>quiet(X)... | quiet(paul) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1033692721894000960856756
% SZS output start Proof for 1033692721894000960856756
2. (~old(mary) <~> happy(mary)) => (creative(paul) & happy(paul)) [input p1]
3. ! [X0] : ((~kind(X0) & ~creative(X0)) <=> ~old(X0)) [input p2]
5. ! [X0] : (~old(X0) <=> ~happy(X0)) [input p4]
6. ! [X0] : ((~g... | 0 |
Everyone who is rich is both brave and not wise and vice versa. If susan is either not calm or not funny then susan is both not humble and not happy and vice versa. Everyone who is brave is happy. Everyone who is both curious and old is not rich. If someone is humble then someone is both strong and calm and vice versa.... | Susan is not happy. | neutral | (![X]:(rich(X)<=>(brave(X)&~wise(X))))&
(((~calm(susan)<~>~funny(susan)))<=>((~humble(susan)&~happy(susan))))&
(![X]:(brave(X)=>happy(X)))&
(![X]:((curious(X)&old(X))=>~rich(X)))&
((?[X]:(humble(X)))<=>(?[X]:((strong(X)&calm(X)))))&
((?[X]:(~kind(X)))=>((~brave(alice)|~generous(alice))))&
(![X]:((brave(X)&patient(X))<=... | ~happy(susan) | [] | null | 0 |
If someone is not brave or patient then mary is not old or patient and vice versa. If alice is not creative or not quiet then mary is creative and vice versa. Everyone who is both patient and brave is tall or not curious and vice versa. If lucy is brave or old then someone is either rich or not curious and vice versa. ... | Alice is not quiet. | contradiction | ((?[X]:((~brave(X)|patient(X))))<=>((~old(mary)|patient(mary))))&
(((~creative(alice)|~quiet(alice)))<=>(creative(mary)))&
(![X]:((patient(X)&brave(X))<=>(tall(X)|~curious(X))))&
(((brave(lucy)|old(lucy)))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(![X]:(rich(X)<=>(generous(X)<~>quiet(X))))&
((?[X]:((calm(X)|~wise(X))))=>(?... | ~quiet(alice) | [
"p2",
"p6",
"p8",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 534622650631225875324594
% SZS output start Proof for 534622650631225875324594
3. ! [X0] : ((brave(X0) & patient(X0)) <=> (~curious(X0) | tall(X0))) [input p2]
7. ! [X0] : (~strong(X0) => (~quiet(X0) & strong(X0))) [input p6]
9. ! [X0] : (generous(X0) => ~brave(X0)) [input p8]
13. ! [X0] ... | 0 |
Everyone who is either not rich or old is not tall or funny and vice versa. If alice is both wise and patient then someone is both not creative and not calm. If mary is brave or not tall then susan is calm or not patient. If paul is both wise and funny then alice is not creative or not rich. Everyone who is strong is b... | John is not brave. | entailment | (![X]:((~rich(X)<~>old(X))<=>(~tall(X)|funny(X))))&
(((wise(alice)&patient(alice)))=>(?[X]:((~creative(X)&~calm(X)))))&
(((brave(mary)|~tall(mary)))=>((calm(susan)|~patient(susan))))&
(((wise(paul)&funny(paul)))=>((~creative(alice)|~rich(alice))))&
(![X]:(strong(X)<=>(~humble(X)&~strong(X))))&
(((kind(alice)|curious(al... | ~brave(john) | [
"p0",
"p4",
"p7",
"p8",
"p9",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8425725013811423721304643
% SZS output start Proof for 8425725013811423721304643
1. ! [X0] : ((~rich(X0) <~> old(X0)) <=> (funny(X0) | ~tall(X0))) [input p0]
5. ! [X0] : (strong(X0) <=> (~strong(X0) & ~humble(X0))) [input p4]
8. ! [X0] : ((quiet(X0) & kind(X0)) <=> (~tall(X0) | happy(X0))... | 0 |
If someone is both not generous and not calm then paul is not curious.
If someone is not funny or not happy then susan is either not calm or old.
Everyone who is both not creative and not strong is either wise or creative and vice versa.
If someone is both not patient and quiet then alice is humble or tall.
If someone ... | Mary is old. | neutral | ((?[X]:((~generous(X)&~calm(X))))=>(~curious(paul)))&
((?[X]:((~funny(X)|~happy(X))))=>((~calm(susan)<~>old(susan))))&
(![X]:((~creative(X)&~strong(X))<=>(wise(X)<~>creative(X))))&
((?[X]:((~patient(X)&quiet(X))))=>((humble(alice)|tall(alice))))&
((?[X]:((~curious(X)|~happy(X))))=>(?[X]:(patient(X))))&
(((brave(fred)|~... | old(mary) | [] | null | 0 |
Everyone who is both funny and not curious is both tall and funny.
If someone is either old or not generous then someone is both not kind and generous.
Everyone who is not humble or not strong is wise or not creative.
If someone is not happy or not rich then alice is not brave or strong.
If someone is both quiet and ol... | John is not funny. | entailment | (![X]:((funny(X)&~curious(X))=>(tall(X)&funny(X))))&
((?[X]:((old(X)<~>~generous(X))))=>(?[X]:((~kind(X)&generous(X)))))&
(![X]:((~humble(X)|~strong(X))=>(wise(X)|~creative(X))))&
((?[X]:((~happy(X)|~rich(X))))=>((~brave(alice)|strong(alice))))&
((?[X]:((quiet(X)&old(X))))=>(~rich(fred)))&
(![X]:((creative(X)|~calm(X))... | ~funny(john) | [
"p2",
"p10",
"p12",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1879283196372788356120871
% SZS output start Proof for 1879283196372788356120871
3. ! [X0] : ((~strong(X0) | ~humble(X0)) => (~creative(X0) | wise(X0))) [input p2]
11. ! [X0] : ((~happy(X0) | ~wise(X0)) => (~old(X0) & ~strong(X0))) [input p10]
13. ! [X0] : (funny(X0) => ~wise(X0)) [input ... | 0 |
If someone is funny then lucy is not brave or not quiet and vice versa.
Everyone who is both patient and not tall is happy or quiet.
Everyone who is both not happy and not old is wise.
If someone is both not rich and strong then someone is both not calm and calm and vice versa.
Everyone who is either not humble or brav... | Paul is patient. | contradiction | ((?[X]:(funny(X)))<=>((~brave(lucy)|~quiet(lucy))))&
(![X]:((patient(X)&~tall(X))=>(happy(X)|quiet(X))))&
(![X]:((~happy(X)&~old(X))=>wise(X)))&
((?[X]:((~rich(X)&strong(X))))<=>(?[X]:((~calm(X)&calm(X)))))&
(![X]:((~humble(X)<~>brave(X))=>~wise(X)))&
(![X]:((calm(X)<~>tall(X))=>~funny(X)))&
(((~kind(john)<~>strong(joh... | patient(paul) | [
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 514668906158214147810604
% SZS output start Proof for 514668906158214147810604
14. ! [X0] : (creative(X0) <=> patient(X0)) [input p13]
20. happy(paul) & ~creative(paul) [input p19]
25. patient(paul) [input hypothesis]
27. ! [X0] : (patient(X0) => creative(X0)) [unused predicate definition... | 0 |
If paul is not wise then someone is not calm or not humble.
If someone is either not creative or not tall then someone is either not humble or tall and vice versa.
Everyone who is either calm or not strong is both not tall and tall and vice versa.
If mary is either old or funny then mary is either not calm or quiet and... | John is not calm. | contradiction | ((~wise(paul))=>(?[X]:((~calm(X)|~humble(X)))))&
((?[X]:((~creative(X)<~>~tall(X))))<=>(?[X]:((~humble(X)<~>tall(X)))))&
(![X]:((calm(X)<~>~strong(X))<=>(~tall(X)&tall(X))))&
(((old(mary)<~>funny(mary)))<=>((~calm(mary)<~>quiet(mary))))&
((?[X]:(funny(X)))=>(?[X]:((~wise(X)&strong(X)))))&
((?[X]:(patient(X)))<=>(~calm(... | ~calm(john) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5076864239925907531769563
% SZS output start Proof for 5076864239925907531769563
6. ? [X0] : patient(X0) <=> ~calm(john) [input p5]
15. ! [X0] : (patient(X0) <=> (creative(X0) & ~patient(X0))) [input p14]
24. ~calm(john) [input hypothesis]
49. (? [X0] : patient(X0) | calm(john)) & (~calm(... | 0 |
If fred is brave or creative then john is kind or tall and vice versa.
Everyone who is patient is not old.
Everyone who is both not calm and humble is creative and vice versa.
Everyone who is not patient or creative is either not creative or wise and vice versa.
Everyone who is either not old or not patient is either n... | Fred is creative. | contradiction | (((brave(fred)|creative(fred)))<=>((kind(john)|tall(john))))&
(![X]:(patient(X)=>~old(X)))&
(![X]:((~calm(X)&humble(X))<=>creative(X)))&
(![X]:((~patient(X)|creative(X))<=>(~creative(X)<~>wise(X))))&
(![X]:((~old(X)<~>~patient(X))=>(~creative(X)<~>calm(X))))&
(![X]:(~wise(X)<=>brave(X)))&
(((~curious(alice)<~>generous(... | creative(fred) | [
"p1",
"p2",
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4741410083468873385193183
% SZS output start Proof for 4741410083468873385193183
2. ! [X0] : (patient(X0) => ~old(X0)) [input p1]
3. ! [X0] : ((humble(X0) & ~calm(X0)) <=> creative(X0)) [input p2]
5. ! [X0] : ((~old(X0) <~> ~patient(X0)) => (~creative(X0) <~> calm(X0))) [input p4]
19. cur... | 0 |
If fred is not humble then alice is both not calm and not strong.
Everyone who is either not funny or not patient is either not quiet or creative.
If mary is both not kind and not happy then alice is generous or not rich and vice versa.
Everyone who is either brave or not creative is calm and vice versa.
If mary is bot... | John is not patient. | contradiction | ((~humble(fred))=>((~calm(alice)&~strong(alice))))&
(![X]:((~funny(X)<~>~patient(X))=>(~quiet(X)<~>creative(X))))&
(((~kind(mary)&~happy(mary)))<=>((generous(alice)|~rich(alice))))&
(![X]:((brave(X)<~>~creative(X))<=>calm(X)))&
(((~creative(mary)&~old(mary)))<=>((~rich(john)|creative(john))))&
(![X]:((patient(X)<~>~hum... | ~patient(john) | [
"p1",
"p3",
"p7",
"p8",
"p9",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8496728838298295016126519
% SZS output start Proof for 8496728838298295016126519
2. ! [X0] : ((~funny(X0) <~> ~patient(X0)) => (~quiet(X0) <~> creative(X0))) [input p1]
4. ! [X0] : ((brave(X0) <~> ~creative(X0)) <=> calm(X0)) [input p3]
8. ! [X0] : ((old(X0) & ~funny(X0)) <=> (creative(X0... | 0 |
If fred is either generous or not creative then someone is both not happy and patient.
If alice is not kind then john is not patient.
If someone is both not tall and humble then john is both quiet and not quiet.
Everyone who is not calm is both calm and funny and vice versa.
If john is both not rich and happy then some... | Fred is not funny. | entailment | (((generous(fred)<~>~creative(fred)))=>(?[X]:((~happy(X)&patient(X)))))&
((~kind(alice))=>(~patient(john)))&
((?[X]:((~tall(X)&humble(X))))=>((quiet(john)&~quiet(john))))&
(![X]:(~calm(X)<=>(calm(X)&funny(X))))&
(((~rich(john)&happy(john)))=>(?[X]:((~funny(X)|~happy(X)))))&
((?[X]:((~wise(X)<~>~patient(X))))<=>(generou... | ~funny(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 967611198874783197668583
% SZS output start Proof for 967611198874783197668583
4. ! [X0] : (~calm(X0) <=> (funny(X0) & calm(X0))) [input p3]
21. funny(fred) [input hypothesis]
38. ! [X0] : ((~calm(X0) | (~funny(X0) | ~calm(X0))) & ((funny(X0) & calm(X0)) | calm(X0))) [nnf transformation 4... | 0 |
If fred is either not kind or quiet then someone is rich or kind and vice versa.
If alice is both patient and strong then someone is not happy and vice versa.
Everyone who is not calm is not curious and vice versa.
Everyone who is rich is not tall and vice versa.
Everyone who is either not humble or funny is either kin... | Fred is not old. | contradiction | (((~kind(fred)<~>quiet(fred)))<=>(?[X]:((rich(X)|kind(X)))))&
(((patient(alice)&strong(alice)))<=>(?[X]:(~happy(X))))&
(![X]:(~calm(X)<=>~curious(X)))&
(![X]:(rich(X)<=>~tall(X)))&
(![X]:((~humble(X)<~>funny(X))=>(kind(X)<~>wise(X))))&
(![X]:((calm(X)&~tall(X))<=>(~wise(X)|tall(X))))&
(![X]:((~patient(X)&~calm(X))=>(qu... | ~old(fred) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p8",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8530274150853350511142476
% SZS output start Proof for 8530274150853350511142476
1. (~kind(fred) <~> quiet(fred)) <=> ? [X0] : (kind(X0) | rich(X0)) [input p0]
3. ! [X0] : (~calm(X0) <=> ~curious(X0)) [input p2]
4. ! [X0] : (rich(X0) <=> ~tall(X0)) [input p3]
5. ! [X0] : ((~humble(X0) <~>... | 0 |
If someone is strong then someone is both not rich and not patient and vice versa. If someone is either patient or not patient then someone is not calm or brave and vice versa. Everyone who is either calm or not wise is not kind or not old and vice versa. Everyone who is both creative and calm is not patient or patient... | Paul is creative. | contradiction | ((?[X]:(strong(X)))<=>(?[X]:((~rich(X)&~patient(X)))))&
((?[X]:((patient(X)<~>~patient(X))))<=>(?[X]:((~calm(X)|brave(X)))))&
(![X]:((calm(X)<~>~wise(X))<=>(~kind(X)|~old(X))))&
(![X]:((creative(X)&calm(X))=>(~patient(X)|patient(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~funny(X)&~curious(X))))&
(![X]:((~patient(X)|humble(... | creative(paul) | [
"p2",
"p5",
"p6",
"p10",
"p11",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3261511277427995258964363
% SZS output start Proof for 3261511277427995258964363
3. ! [X0] : ((calm(X0) <~> ~wise(X0)) <=> (~old(X0) | ~kind(X0))) [input p2]
6. ! [X0] : ((humble(X0) | ~patient(X0)) <=> ~creative(X0)) [input p5]
7. ! [X0] : ((~old(X0) & ~happy(X0)) <=> (calm(X0) <~> ~rich... | 0 |
If alice is either strong or not kind then john is not calm and vice versa. Everyone who is not brave is not kind or not humble and vice versa. Everyone who is funny is strong or rich and vice versa. If lucy is old or happy then susan is kind and vice versa. Everyone who is not curious is not strong and vice versa. Eve... | John is not generous. | contradiction | (((strong(alice)<~>~kind(alice)))<=>(~calm(john)))&
(![X]:(~brave(X)<=>(~kind(X)|~humble(X))))&
(![X]:(funny(X)<=>(strong(X)|rich(X))))&
(((old(lucy)|happy(lucy)))<=>(kind(susan)))&
(![X]:(~curious(X)<=>~strong(X)))&
(![X]:((wise(X)|~humble(X))<=>~creative(X)))&
(![X]:((~brave(X)<~>patient(X))<=>quiet(X)))&
(((~brave(l... | ~generous(john) | [
"p1",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5214329685658972391892435
% SZS output start Proof for 5214329685658972391892435
2. ! [X0] : (~brave(X0) <=> (~humble(X0) | ~kind(X0))) [input p1]
7. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> quiet(X0)) [input p6]
11. ! [X0] : ((kind(X0) & ~quiet(X0)) <=> (quiet(X0) <~> patient(X0))) [in... | 0 |
Everyone who is funny is not rich or generous and vice versa.
If fred is both not curious and not strong then someone is quiet or not creative and vice versa.
Everyone who is both not creative and not happy is curious or strong.
If someone is not quiet then lucy is creative or wise.
Everyone who is both not creative an... | Alice is not brave. | entailment | (![X]:(funny(X)<=>(~rich(X)|generous(X))))&
(((~curious(fred)&~strong(fred)))<=>(?[X]:((quiet(X)|~creative(X)))))&
(![X]:((~creative(X)&~happy(X))=>(curious(X)|strong(X))))&
((?[X]:(~quiet(X)))=>((creative(lucy)|wise(lucy))))&
(![X]:((~creative(X)&~strong(X))=>(happy(X)|~brave(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((brave(... | ~brave(alice) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4973867993181801308264192
% SZS output start Proof for 4973867993181801308264192
22. ~brave(alice) [input p21]
25. brave(alice) [input hypothesis]
128. ~brave(alice) [cnf transformation 22]
133. brave(alice) [cnf transformation 25]
311. $false [subsumption resolution 133,128]
% SZS output... | 0 |
Everyone who is not kind is not patient or funny and vice versa.
If someone is not funny or not rich then someone is not rich and vice versa.
Everyone who is not strong or not quiet is either not funny or not calm and vice versa.
Everyone who is not strong is both creative and not creative and vice versa.
Everyone who ... | Susan is happy. | neutral | (![X]:(~kind(X)<=>(~patient(X)|funny(X))))&
((?[X]:((~funny(X)|~rich(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~strong(X)|~quiet(X))<=>(~funny(X)<~>~calm(X))))&
(![X]:(~strong(X)<=>(creative(X)&~creative(X))))&
(![X]:((curious(X)<~>~curious(X))<=>(~patient(X)&~old(X))))&
(![X]:(~rich(X)<=>(strong(X)|generous(X))))&
(![X]:(~t... | happy(susan) | [] | null | 0 |
Everyone who is happy or not wise is either generous or quiet and vice versa.
Everyone who is either calm or patient is not strong.
If alice is funny then john is funny and vice versa.
If someone is either not rich or old then someone is either strong or old and vice versa.
Everyone who is both generous and not funny i... | Paul is not wise. | neutral | (![X]:((happy(X)|~wise(X))<=>(generous(X)<~>quiet(X))))&
(![X]:((calm(X)<~>patient(X))=>~strong(X)))&
((funny(alice))<=>(funny(john)))&
((?[X]:((~rich(X)<~>old(X))))<=>(?[X]:((strong(X)<~>old(X)))))&
(![X]:((generous(X)&~funny(X))<=>(~strong(X)&happy(X))))&
((?[X]:((strong(X)|~curious(X))))<=>((~curious(lucy)|wise(lucy... | ~wise(paul) | [] | null | 0 |
Everyone who is either humble or not creative is not happy or not rich.
Everyone who is not humble or creative is not strong.
Everyone who is not wise is both generous and strong.
If someone is either not quiet or wise then lucy is creative and vice versa.
Everyone who is strong is either curious or calm and vice versa... | Paul is not curious. | entailment | (![X]:((humble(X)<~>~creative(X))=>(~happy(X)|~rich(X))))&
(![X]:((~humble(X)|creative(X))=>~strong(X)))&
(![X]:(~wise(X)=>(generous(X)&strong(X))))&
((?[X]:((~quiet(X)<~>wise(X))))<=>(creative(lucy)))&
(![X]:(strong(X)<=>(curious(X)<~>calm(X))))&
(((quiet(lucy)&~kind(lucy)))=>((tall(susan)<~>~patient(susan))))&
((?[X]... | ~curious(paul) | [
"p1",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6149527410524481762112738
% SZS output start Proof for 6149527410524481762112738
2. ! [X0] : ((creative(X0) | ~humble(X0)) => ~strong(X0)) [input p1]
8. ! [X0] : ((curious(X0) <~> tall(X0)) => (~happy(X0) & tall(X0))) [input p7]
12. ! [X0] : ((tall(X0) & strong(X0)) <=> (~tall(X0) <~> cre... | 0 |
Everyone who is not patient or quiet is not humble or patient and vice versa. Everyone who is both strong and calm is not tall and vice versa. If someone is patient or not brave then john is tall. Everyone who is calm is both not creative and old and vice versa. If someone is both calm and tall then someone is either c... | Mary is rich. | contradiction | (![X]:((~patient(X)|quiet(X))<=>(~humble(X)|patient(X))))&
(![X]:((strong(X)&calm(X))<=>~tall(X)))&
((?[X]:((patient(X)|~brave(X))))=>(tall(john)))&
(![X]:(calm(X)<=>(~creative(X)&old(X))))&
((?[X]:((calm(X)&tall(X))))=>(?[X]:((calm(X)<~>~patient(X)))))&
(((~tall(mary)<~>strong(mary)))<=>(?[X]:((~rich(X)&patient(X)))))... | rich(mary) | [
"p1",
"p3",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 660277096285233623886368
% SZS output start Proof for 660277096285233623886368
2. ! [X0] : ((calm(X0) & strong(X0)) <=> ~tall(X0)) [input p1]
4. ! [X0] : (calm(X0) <=> (old(X0) & ~creative(X0))) [input p3]
8. ! [X0] : ((quiet(X0) | tall(X0)) => (~rich(X0) & generous(X0))) [input p7]
19. c... | 0 |
If fred is not old then john is not funny.
Everyone who is both kind and not humble is curious or rich.
Everyone who is both generous and not brave is either not rich or humble and vice versa.
Everyone who is old is not creative or not old and vice versa.
Everyone who is rich is not strong.
Everyone who is both not ric... | Fred is humble. | neutral | ((~old(fred))=>(~funny(john)))&
(![X]:((kind(X)&~humble(X))=>(curious(X)|rich(X))))&
(![X]:((generous(X)&~brave(X))<=>(~rich(X)<~>humble(X))))&
(![X]:(old(X)<=>(~creative(X)|~old(X))))&
(![X]:(rich(X)=>~strong(X)))&
(![X]:((~rich(X)&happy(X))=>(generous(X)<~>~happy(X))))&
((?[X]:((~humble(X)<~>wise(X))))<=>((~old(fred)... | humble(fred) | [] | null | 0 |
If someone is generous then alice is both not patient and creative and vice versa. If someone is either happy or not quiet then paul is not quiet or not curious. Everyone who is quiet is humble or strong. Everyone who is either not happy or happy is either strong or not tall. Everyone who is both not curious and tall i... | Alice is tall. | contradiction | ((?[X]:(generous(X)))<=>((~patient(alice)&creative(alice))))&
((?[X]:((happy(X)<~>~quiet(X))))=>((~quiet(paul)|~curious(paul))))&
(![X]:(quiet(X)=>(humble(X)|strong(X))))&
(![X]:((~happy(X)<~>happy(X))=>(strong(X)<~>~tall(X))))&
(![X]:((~curious(X)&tall(X))<=>(strong(X)<~>wise(X))))&
(![X]:(~wise(X)<=>(generous(X)|~bra... | tall(alice) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1843873987363683092271578
% SZS output start Proof for 1843873987363683092271578
11. ! [X0] : (~rich(X0) <=> (rich(X0) | ~happy(X0))) [input p10]
12. ? [X0] : (~happy(X0) | brave(X0)) <=> (~wise(alice) & ~tall(alice)) [input p11]
23. tall(alice) [input hypothesis]
62. ! [X0] : ((~rich(X0)... | 0 |
Everyone who is not humble is not funny.
If mary is either curious or not creative then john is brave and vice versa.
Everyone who is either not quiet or calm is not brave or happy and vice versa.
If someone is quiet or happy then someone is both not wise and kind.
If alice is not old or not kind then someone is both n... | John is not patient. | entailment | (![X]:(~humble(X)=>~funny(X)))&
(((curious(mary)<~>~creative(mary)))<=>(brave(john)))&
(![X]:((~quiet(X)<~>calm(X))<=>(~brave(X)|happy(X))))&
((?[X]:((quiet(X)|happy(X))))=>(?[X]:((~wise(X)&kind(X)))))&
(((~old(alice)|~kind(alice)))<=>(?[X]:((~strong(X)&~funny(X)))))&
(((~patient(john)&curious(john)))<=>(?[X]:((rich(X)... | ~patient(john) | [
"p2",
"p6",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7805843566568320047258800
% SZS output start Proof for 7805843566568320047258800
3. ! [X0] : ((~quiet(X0) <~> calm(X0)) <=> (happy(X0) | ~brave(X0))) [input p2]
7. ! [X0] : ((~old(X0) | patient(X0)) <=> (~calm(X0) & ~strong(X0))) [input p6]
9. ! [X0] : ((quiet(X0) <~> calm(X0)) <=> (kind(... | 0 |
If john is both calm and generous then someone is either calm or not patient and vice versa. Everyone who is not calm is brave or not old and vice versa. If lucy is quiet then john is either funny or strong. Everyone who is not tall or rich is tall or not brave and vice versa. Everyone who is patient is both not curiou... | Susan is not funny. | neutral | (((calm(john)&generous(john)))<=>(?[X]:((calm(X)<~>~patient(X)))))&
(![X]:(~calm(X)<=>(brave(X)|~old(X))))&
((quiet(lucy))=>((funny(john)<~>strong(john))))&
(![X]:((~tall(X)|rich(X))<=>(tall(X)|~brave(X))))&
(![X]:(patient(X)<=>(~curious(X)&~rich(X))))&
(![X]:((~curious(X)<~>curious(X))<=>(old(X)<~>~rich(X))))&
((?[X]:... | ~funny(susan) | [] | null | 0 |
Everyone who is not wise or funny is either not wise or not curious.
If john is not kind or humble then john is strong and vice versa.
If alice is either not kind or brave then someone is strong or not patient and vice versa.
If someone is both not curious and curious then alice is not funny or rich.
Everyone who is fu... | Lucy is funny. | contradiction | (![X]:((~wise(X)|funny(X))=>(~wise(X)<~>~curious(X))))&
(((~kind(john)|humble(john)))<=>(strong(john)))&
(((~kind(alice)<~>brave(alice)))<=>(?[X]:((strong(X)|~patient(X)))))&
((?[X]:((~curious(X)&curious(X))))=>((~funny(alice)|rich(alice))))&
(![X]:(funny(X)=>(~funny(X)|rich(X))))&
(![X]:((humble(X)&patient(X))<=>(~cre... | funny(lucy) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4751003635989980303834380
% SZS output start Proof for 4751003635989980303834380
8. ! [X0] : ((funny(X0) | ~kind(X0)) => happy(X0)) [input p7]
9. ! [X0] : ((happy(X0) <~> ~strong(X0)) <=> (~happy(X0) | ~strong(X0))) [input p8]
24. funny(lucy) [input hypothesis]
33. ! [X0] : (happy(X0) | (... | 0 |
If paul is wise then lucy is not kind and vice versa.
Everyone who is quiet is both not generous and not old and vice versa.
If paul is patient then paul is funny and vice versa.
Everyone who is both not humble and not old is not curious and vice versa.
Everyone who is kind or not rich is generous or not creative.
Ever... | Alice is kind. | contradiction | ((wise(paul))<=>(~kind(lucy)))&
(![X]:(quiet(X)<=>(~generous(X)&~old(X))))&
((patient(paul))<=>(funny(paul)))&
(![X]:((~humble(X)&~old(X))<=>~curious(X)))&
(![X]:((kind(X)|~rich(X))=>(generous(X)|~creative(X))))&
(![X]:((tall(X)|funny(X))<=>(~strong(X)&strong(X))))&
(![X]:((~strong(X)|old(X))<=>(~curious(X)&rich(X))))&... | kind(alice) | [
"p4",
"p5",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2567836327974229708252118
% SZS output start Proof for 2567836327974229708252118
5. ! [X0] : ((~rich(X0) | kind(X0)) => (~creative(X0) | generous(X0))) [input p4]
6. ! [X0] : ((funny(X0) | tall(X0)) <=> (strong(X0) & ~strong(X0))) [input p5]
12. ? [X0] : (brave(X0) <~> tall(X0)) <=> ? [X0... | 0 |
Everyone who is not quiet or patient is either humble or funny.
If fred is old then alice is old.
Everyone who is both rich and strong is patient or brave and vice versa.
Everyone who is not kind or not strong is not creative and vice versa.
Everyone who is either rich or old is both strong and not generous.
Everyone w... | Fred is quiet. | neutral | (![X]:((~quiet(X)|patient(X))=>(humble(X)<~>funny(X))))&
((old(fred))=>(old(alice)))&
(![X]:((rich(X)&strong(X))<=>(patient(X)|brave(X))))&
(![X]:((~kind(X)|~strong(X))<=>~creative(X)))&
(![X]:((rich(X)<~>old(X))=>(strong(X)&~generous(X))))&
(![X]:((~creative(X)<~>kind(X))<=>(~funny(X)&~brave(X))))&
(![X]:(~patient(X)<... | quiet(fred) | [] | null | 0 |
Everyone who is both not curious and not rich is either kind or not patient.
If someone is either not strong or calm then someone is both not wise and not rich.
Everyone who is either old or not old is both not wise and brave.
Everyone who is wise or kind is both not creative and not generous and vice versa.
If someone... | Mary is not tall. | neutral | (![X]:((~curious(X)&~rich(X))=>(kind(X)<~>~patient(X))))&
((?[X]:((~strong(X)<~>calm(X))))=>(?[X]:((~wise(X)&~rich(X)))))&
(![X]:((old(X)<~>~old(X))=>(~wise(X)&brave(X))))&
(![X]:((wise(X)|kind(X))<=>(~creative(X)&~generous(X))))&
((?[X]:((brave(X)&~patient(X))))<=>(?[X]:((old(X)|~wise(X)))))&
(![X]:((wise(X)|kind(X))<... | ~tall(mary) | [] | null | 0 |
Everyone who is not old is both not funny and not quiet.
Everyone who is not wise or funny is not happy.
If paul is curious or not strong then susan is both not brave and not tall and vice versa.
If paul is not happy then lucy is curious or tall and vice versa.
Everyone who is both patient and not funny is both not tal... | Paul is not funny. | entailment | (![X]:(~old(X)=>(~funny(X)&~quiet(X))))&
(![X]:((~wise(X)|funny(X))=>~happy(X)))&
(((curious(paul)|~strong(paul)))<=>((~brave(susan)&~tall(susan))))&
((~happy(paul))<=>((curious(lucy)|tall(lucy))))&
(![X]:((patient(X)&~funny(X))<=>(~tall(X)&~funny(X))))&
((?[X]:(happy(X)))<=>((happy(john)|~wise(john))))&
(![X]:((~curio... | ~funny(paul) | [
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3758604621398824043922792
% SZS output start Proof for 3758604621398824043922792
7. ! [X0] : ((quiet(X0) | ~curious(X0)) <=> (~funny(X0) & old(X0))) [input p6]
23. rich(paul) & quiet(paul) [input p22]
25. funny(paul) [input hypothesis]
47. ! [X0] : (((quiet(X0) | ~curious(X0)) | (funny(X0... | 0 |
If alice is both not humble and calm then someone is not strong and vice versa.
Everyone who is both not tall and calm is either not humble or humble and vice versa.
Everyone who is both not wise and not rich is calm or rich.
Everyone who is quiet or patient is not curious or not humble and vice versa.
If mary is wise ... | Paul is not generous. | contradiction | (((~humble(alice)&calm(alice)))<=>(?[X]:(~strong(X))))&
(![X]:((~tall(X)&calm(X))<=>(~humble(X)<~>humble(X))))&
(![X]:((~wise(X)&~rich(X))=>(calm(X)|rich(X))))&
(![X]:((quiet(X)|patient(X))<=>(~curious(X)|~humble(X))))&
((wise(mary))<=>((~kind(paul)&funny(paul))))&
(![X]:((creative(X)<~>~curious(X))=>(rich(X)&~humble(X... | ~generous(paul) | [
"p1",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2753405370992098197353001
% SZS output start Proof for 2753405370992098197353001
2. ! [X0] : ((calm(X0) & ~tall(X0)) <=> (~humble(X0) <~> humble(X0))) [input p1]
12. (~curious(john) & creative(john)) <=> ? [X0] : (calm(X0) & ~strong(X0)) [input p11]
15. ? [X0] : ~strong(X0) <=> ? [X0] : ~... | 0 |
If john is not happy or patient then lucy is humble or not patient and vice versa.
Everyone who is either not kind or not humble is both generous and rich.
If someone is either happy or calm then someone is both funny and old.
Everyone who is rich or humble is both happy and not strong.
If someone is old or generous th... | Mary is not funny. | neutral | (((~happy(john)|patient(john)))<=>((humble(lucy)|~patient(lucy))))&
(![X]:((~kind(X)<~>~humble(X))=>(generous(X)&rich(X))))&
((?[X]:((happy(X)<~>calm(X))))=>(?[X]:((funny(X)&old(X)))))&
(![X]:((rich(X)|humble(X))=>(happy(X)&~strong(X))))&
((?[X]:((old(X)|generous(X))))<=>(generous(lucy)))&
(![X]:((brave(X)&creative(X))... | ~funny(mary) | [] | null | 0 |
Everyone who is humble or not calm is either not humble or curious and vice versa.
If someone is not creative or not curious then someone is either kind or not old and vice versa.
If someone is both not calm and not wise then susan is old or not generous and vice versa.
If mary is both calm and not funny then mary is e... | Susan is generous. | entailment | (![X]:((humble(X)|~calm(X))<=>(~humble(X)<~>curious(X))))&
((?[X]:((~creative(X)|~curious(X))))<=>(?[X]:((kind(X)<~>~old(X)))))&
((?[X]:((~calm(X)&~wise(X))))<=>((old(susan)|~generous(susan))))&
(((calm(mary)&~funny(mary)))=>((creative(mary)<~>~calm(mary))))&
(![X]:((wise(X)&curious(X))=>(~calm(X)|strong(X))))&
((?[X]:... | generous(susan) | [
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8672641589536161795879620
% SZS output start Proof for 8672641589536161795879620
8. ! [X0] : ((rich(X0) | kind(X0)) => tall(X0)) [input p7]
10. ! [X0] : ((~curious(X0) | tall(X0)) <=> (humble(X0) & ~humble(X0))) [input p9]
13. ! [X0] : ((~kind(X0) <~> generous(X0)) => rich(X0)) [input p12... | 0 |
If fred is brave or not curious then paul is brave or rich. If alice is both happy and quiet then someone is either strong or not generous and vice versa. If susan is both generous and strong then someone is funny. Everyone who is funny is both not rich and brave. Everyone who is both not humble and not tall is both wi... | Alice is not kind. | neutral | (((brave(fred)|~curious(fred)))=>((brave(paul)|rich(paul))))&
(((happy(alice)&quiet(alice)))<=>(?[X]:((strong(X)<~>~generous(X)))))&
(((generous(susan)&strong(susan)))=>(?[X]:(funny(X))))&
(![X]:(funny(X)=>(~rich(X)&brave(X))))&
(![X]:((~humble(X)&~tall(X))<=>(wise(X)&~generous(X))))&
(![X]:((~humble(X)|~funny(X))<=>~p... | ~kind(alice) | [] | null | 0 |
If lucy is not tall then someone is not wise.
Everyone who is not generous is not generous or humble.
Everyone who is not funny or creative is both not humble and wise and vice versa.
Everyone who is both not patient and old is both funny and not humble.
Everyone who is either not strong or not happy is old or not humb... | Lucy is quiet. | neutral | ((~tall(lucy))=>(?[X]:(~wise(X))))&
(![X]:(~generous(X)=>(~generous(X)|humble(X))))&
(![X]:((~funny(X)|creative(X))<=>(~humble(X)&wise(X))))&
(![X]:((~patient(X)&old(X))=>(funny(X)&~humble(X))))&
(![X]:((~strong(X)<~>~happy(X))=>(old(X)|~humble(X))))&
(![X]:((~happy(X)<~>tall(X))<=>(~curious(X)|creative(X))))&
(![X]:((... | quiet(lucy) | [] | null | 0 |
Everyone who is generous is either tall or happy. If john is either not tall or happy then alice is both not old and patient. If someone is either funny or old then paul is not strong or not creative. Everyone who is both old and not tall is wise. Everyone who is both brave and creative is either happy or not humble. E... | Susan is humble. | entailment | (![X]:(generous(X)=>(tall(X)<~>happy(X))))&
(((~tall(john)<~>happy(john)))=>((~old(alice)&patient(alice))))&
((?[X]:((funny(X)<~>old(X))))=>((~strong(paul)|~creative(paul))))&
(![X]:((old(X)&~tall(X))=>wise(X)))&
(![X]:((brave(X)&creative(X))=>(happy(X)<~>~humble(X))))&
(![X]:(~generous(X)<=>(generous(X)&patient(X))))&... | humble(susan) | [
"p0",
"p4",
"p5",
"p7",
"p10",
"p11",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8629326198153897849218552
% SZS output start Proof for 8629326198153897849218552
1. ! [X0] : (generous(X0) => (tall(X0) <~> happy(X0))) [input p0]
5. ! [X0] : ((creative(X0) & brave(X0)) => (happy(X0) <~> ~humble(X0))) [input p4]
6. ! [X0] : (~generous(X0) <=> (patient(X0) & generous(X0))... | 0 |
Everyone who is wise or quiet is both not tall and humble and vice versa.
Everyone who is both quiet and not brave is either not funny or brave and vice versa.
Everyone who is either funny or rich is happy.
If someone is not funny then someone is either not calm or not patient.
If mary is both happy and funny then some... | Fred is wise. | neutral | (![X]:((wise(X)|quiet(X))<=>(~tall(X)&humble(X))))&
(![X]:((quiet(X)&~brave(X))<=>(~funny(X)<~>brave(X))))&
(![X]:((funny(X)<~>rich(X))=>happy(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~calm(X)<~>~patient(X)))))&
(((happy(mary)&funny(mary)))<=>(?[X]:((~kind(X)&creative(X)))))&
(![X]:((calm(X)<~>old(X))<=>(~patient(X)&patient(... | wise(fred) | [] | null | 0 |
If john is either not rich or creative then someone is either not quiet or quiet. If paul is either not brave or patient then lucy is not patient. Everyone who is both not calm and quiet is either not kind or funny and vice versa. Everyone who is not old is not patient or not quiet and vice versa. Everyone who is eithe... | John is quiet. | entailment | (((~rich(john)<~>creative(john)))=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(((~brave(paul)<~>patient(paul)))=>(~patient(lucy)))&
(![X]:((~calm(X)&quiet(X))<=>(~kind(X)<~>funny(X))))&
(![X]:(~old(X)<=>(~patient(X)|~quiet(X))))&
(![X]:((creative(X)<~>calm(X))=>humble(X)))&
((?[X]:(~wise(X)))<=>(?[X]:(~curious(X))))&
(![X]:((~h... | quiet(john) | [
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2969632472590315840256246
% SZS output start Proof for 2969632472590315840256246
4. ! [X0] : (~old(X0) <=> (~quiet(X0) | ~patient(X0))) [input p3]
16. (~old(john) <~> quiet(john)) => (~curious(john) & old(john)) [input p15]
25. ~quiet(john) [input hypothesis]
40. (~curious(john) & old(joh... | 0 |
Everyone who is either not humble or not happy is either not happy or curious and vice versa.
If lucy is both not curious and not strong then someone is either not brave or not patient and vice versa.
Everyone who is either not tall or quiet is brave or not calm.
Everyone who is either not kind or not rich is either no... | Fred is not tall. | contradiction | (![X]:((~humble(X)<~>~happy(X))<=>(~happy(X)<~>curious(X))))&
(((~curious(lucy)&~strong(lucy)))<=>(?[X]:((~brave(X)<~>~patient(X)))))&
(![X]:((~tall(X)<~>quiet(X))=>(brave(X)|~calm(X))))&
(![X]:((~kind(X)<~>~rich(X))=>(~quiet(X)<~>generous(X))))&
(![X]:((tall(X)|~funny(X))<=>(~wise(X)|wise(X))))&
(![X]:((funny(X)<~>ric... | ~tall(fred) | [
"p4",
"p5",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4196572984183006969274840
% SZS output start Proof for 4196572984183006969274840
5. ! [X0] : ((~funny(X0) | tall(X0)) <=> (wise(X0) | ~wise(X0))) [input p4]
6. ! [X0] : ((funny(X0) <~> rich(X0)) <=> (~rich(X0) & ~wise(X0))) [input p5]
11. ! [X0] : (~calm(X0) <=> generous(X0)) [input p10]
... | 0 |
Everyone who is humble is either not brave or not creative.
If someone is both happy and rich then someone is kind or funny.
Everyone who is both patient and not wise is generous.
Everyone who is both not quiet and not strong is quiet.
Everyone who is both not kind and brave is not quiet or not kind and vice versa.
If ... | Lucy is calm. | contradiction | (![X]:(humble(X)=>(~brave(X)<~>~creative(X))))&
((?[X]:((happy(X)&rich(X))))=>(?[X]:((kind(X)|funny(X)))))&
(![X]:((patient(X)&~wise(X))=>generous(X)))&
(![X]:((~quiet(X)&~strong(X))=>quiet(X)))&
(![X]:((~kind(X)&brave(X))<=>(~quiet(X)|~kind(X))))&
(((patient(mary)<~>~creative(mary)))=>(?[X]:(funny(X))))&
((?[X]:((curi... | calm(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6107742192156000040180740
% SZS output start Proof for 6107742192156000040180740
15. ! [X0] : ((calm(X0) | ~calm(X0)) => (~calm(X0) & tall(X0))) [input p14]
22. calm(lucy) [input hypothesis]
38. ! [X0] : ((~calm(X0) & tall(X0)) | (~calm(X0) & calm(X0))) [ennf transformation 15]
110. ~calm... | 0 |
If someone is old or curious then someone is both patient and calm.
If alice is both not curious and wise then fred is not strong and vice versa.
If fred is quiet or patient then someone is not curious or old.
If alice is not curious then someone is both tall and not strong.
Everyone who is both not tall and old is bot... | Alice is not patient. | neutral | ((?[X]:((old(X)|curious(X))))=>(?[X]:((patient(X)&calm(X)))))&
(((~curious(alice)&wise(alice)))<=>(~strong(fred)))&
(((quiet(fred)|patient(fred)))=>(?[X]:((~curious(X)|old(X)))))&
((~curious(alice))=>(?[X]:((tall(X)&~strong(X)))))&
(![X]:((~tall(X)&old(X))<=>(~kind(X)&curious(X))))&
(![X]:((strong(X)&curious(X))<=>(~ri... | ~patient(alice) | [] | null | 0 |
If someone is either strong or generous then paul is wise and vice versa.
Everyone who is tall or old is old and vice versa.
If mary is both not generous and not patient then paul is wise or generous.
Everyone who is funny is either tall or strong and vice versa.
Everyone who is not calm is not patient or happy.
If joh... | Susan is strong. | neutral | ((?[X]:((strong(X)<~>generous(X))))<=>(wise(paul)))&
(![X]:((tall(X)|old(X))<=>old(X)))&
(((~generous(mary)&~patient(mary)))=>((wise(paul)|generous(paul))))&
(![X]:(funny(X)<=>(tall(X)<~>strong(X))))&
(![X]:(~calm(X)=>(~patient(X)|happy(X))))&
(((~calm(john)|quiet(john)))=>(?[X]:((old(X)<~>~old(X)))))&
(![X]:(patient(X... | strong(susan) | [] | null | 0 |
Everyone who is not strong or not calm is creative and vice versa.
If someone is tall then someone is funny or rich and vice versa.
Everyone who is both not quiet and wise is not tall.
If someone is not curious or wise then susan is creative.
Everyone who is either kind or not humble is either not calm or creative and ... | Fred is not funny. | neutral | (![X]:((~strong(X)|~calm(X))<=>creative(X)))&
((?[X]:(tall(X)))<=>(?[X]:((funny(X)|rich(X)))))&
(![X]:((~quiet(X)&wise(X))=>~tall(X)))&
((?[X]:((~curious(X)|wise(X))))=>(creative(susan)))&
(![X]:((kind(X)<~>~humble(X))<=>(~calm(X)<~>creative(X))))&
(![X]:((~brave(X)<~>~strong(X))<=>calm(X)))&
(((~humble(paul)<~>~rich(p... | ~funny(fred) | [] | null | 0 |
Everyone who is both not tall and not kind is either not generous or not funny and vice versa.
Everyone who is both not wise and not rich is not curious or not tall and vice versa.
If paul is both not calm and not brave then susan is either not wise or not funny and vice versa.
Everyone who is either old or creative is... | Fred is humble. | contradiction | (![X]:((~tall(X)&~kind(X))<=>(~generous(X)<~>~funny(X))))&
(![X]:((~wise(X)&~rich(X))<=>(~curious(X)|~tall(X))))&
(((~calm(paul)&~brave(paul)))<=>((~wise(susan)<~>~funny(susan))))&
(![X]:((old(X)<~>creative(X))<=>(curious(X)<~>quiet(X))))&
(![X]:((old(X)|~kind(X))=>(strong(X)&~calm(X))))&
((~quiet(john))=>(?[X]:((kind(... | humble(fred) | [
"p1",
"p4",
"p6",
"p9",
"p13",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 188217006940200908478797
% SZS output start Proof for 188217006940200908478797
2. ! [X0] : ((~rich(X0) & ~wise(X0)) <=> (~tall(X0) | ~curious(X0))) [input p1]
5. ! [X0] : ((~kind(X0) | old(X0)) => (~calm(X0) & strong(X0))) [input p4]
7. ! [X0] : ((tall(X0) & ~happy(X0)) => (~brave(X0) <~>... | 0 |
If fred is rich or not calm then john is both not patient and not tall.
If lucy is both quiet and not kind then mary is not calm and vice versa.
If fred is not happy then someone is creative.
If someone is both not creative and curious then someone is wise or not wise.
Everyone who is both creative and not strong is no... | John is tall. | contradiction | (((rich(fred)|~calm(fred)))=>((~patient(john)&~tall(john))))&
(((quiet(lucy)&~kind(lucy)))<=>(~calm(mary)))&
((~happy(fred))=>(?[X]:(creative(X))))&
((?[X]:((~creative(X)&curious(X))))=>(?[X]:((wise(X)|~wise(X)))))&
(![X]:((creative(X)&~strong(X))<=>(~humble(X)|strong(X))))&
(![X]:((~tall(X)&~curious(X))=>(humble(X)|~w... | tall(john) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1837349740494409671520759
% SZS output start Proof for 1837349740494409671520759
1. (~calm(fred) | rich(fred)) => (~tall(john) & ~patient(john)) [input p0]
14. ! [X0] : ((rich(X0) & ~quiet(X0)) <=> calm(X0)) [input p13]
22. tall(john) [input hypothesis]
26. (~tall(john) & ~patient(john)) ... | 0 |
Everyone who is both wise and strong is both happy and not funny.
If someone is patient or not calm then paul is both not rich and not happy and vice versa.
If someone is both rich and not patient then someone is both not strong and happy and vice versa.
If susan is old or strong then susan is not funny or not kind.
Ev... | Paul is not kind. | entailment | (![X]:((wise(X)&strong(X))=>(happy(X)&~funny(X))))&
((?[X]:((patient(X)|~calm(X))))<=>((~rich(paul)&~happy(paul))))&
((?[X]:((rich(X)&~patient(X))))<=>(?[X]:((~strong(X)&happy(X)))))&
(((old(susan)|strong(susan)))=>((~funny(susan)|~kind(susan))))&
(![X]:((~funny(X)&~creative(X))<=>~wise(X)))&
(![X]:((~tall(X)|~generous... | ~kind(paul) | [
"p1",
"p5",
"p7",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6468547005054778553350262
% SZS output start Proof for 6468547005054778553350262
2. ? [X0] : (~calm(X0) | patient(X0)) <=> (~happy(paul) & ~rich(paul)) [input p1]
6. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> (wise(X0) | ~strong(X0))) [input p5]
8. ! [X0] : (~patient(X0) <=> (~rich(X0) | ~... | 0 |
If someone is not humble or not quiet then john is humble or not curious and vice versa.
Everyone who is either old or not quiet is either not quiet or not creative.
Everyone who is not quiet or not creative is both strong and not wise and vice versa.
Everyone who is both not brave and kind is either not funny or not c... | Susan is not quiet. | entailment | ((?[X]:((~humble(X)|~quiet(X))))<=>((humble(john)|~curious(john))))&
(![X]:((old(X)<~>~quiet(X))=>(~quiet(X)<~>~creative(X))))&
(![X]:((~quiet(X)|~creative(X))<=>(strong(X)&~wise(X))))&
(![X]:((~brave(X)&kind(X))=>(~funny(X)<~>~creative(X))))&
((strong(mary))=>(?[X]:((~tall(X)&~curious(X)))))&
(![X]:((~patient(X)<~>cal... | ~quiet(susan) | [
"p1",
"p7",
"p10",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5408032748052000325807815
% SZS output start Proof for 5408032748052000325807815
2. ! [X0] : ((old(X0) <~> ~quiet(X0)) => (~quiet(X0) <~> ~creative(X0))) [input p1]
8. ! [X0] : ((~wise(X0) | ~funny(X0)) => (kind(X0) & old(X0))) [input p7]
11. ? [X0] : (brave(X0) <~> calm(X0)) => (~wise(su... | 0 |
If someone is not brave or funny then susan is either not tall or quiet. If someone is not old or not funny then john is happy or old and vice versa. Everyone who is either curious or not kind is old or not curious. Everyone who is both not strong and not generous is both not happy and funny and vice versa. Everyone wh... | Lucy is humble. | contradiction | ((?[X]:((~brave(X)|funny(X))))=>((~tall(susan)<~>quiet(susan))))&
((?[X]:((~old(X)|~funny(X))))<=>((happy(john)|old(john))))&
(![X]:((curious(X)<~>~kind(X))=>(old(X)|~curious(X))))&
(![X]:((~strong(X)&~generous(X))<=>(~happy(X)&funny(X))))&
(![X]:(happy(X)<=>~creative(X)))&
((?[X]:((patient(X)<~>~patient(X))))=>((brave... | humble(lucy) | [
"p0",
"p4",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5483453245188762569733236
% SZS output start Proof for 5483453245188762569733236
1. ? [X0] : (funny(X0) | ~brave(X0)) => (~tall(susan) <~> quiet(susan)) [input p0]
5. ! [X0] : (happy(X0) <=> ~creative(X0)) [input p4]
6. ? [X0] : (patient(X0) <~> ~patient(X0)) => (brave(lucy) <~> humble(lu... | 0 |
Everyone who is both not generous and not calm is both not brave and not happy.
Everyone who is not happy is both brave and not humble and vice versa.
Everyone who is not rich or humble is kind or generous and vice versa.
Everyone who is brave or not old is both not wise and curious.
If someone is not patient or not wi... | Paul is not rich. | contradiction | (![X]:((~generous(X)&~calm(X))=>(~brave(X)&~happy(X))))&
(![X]:(~happy(X)<=>(brave(X)&~humble(X))))&
(![X]:((~rich(X)|humble(X))<=>(kind(X)|generous(X))))&
(![X]:((brave(X)|~old(X))=>(~wise(X)&curious(X))))&
((?[X]:((~patient(X)|~wise(X))))<=>(wise(lucy)))&
(![X]:((~creative(X)&patient(X))=>(~humble(X)&happy(X))))&
((?... | ~rich(paul) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6355652442559911465625728
% SZS output start Proof for 6355652442559911465625728
3. ! [X0] : ((humble(X0) | ~rich(X0)) <=> (generous(X0) | kind(X0))) [input p2]
19. ~kind(paul) & ~generous(paul) [input p18]
23. ~rich(paul) [input hypothesis]
41. ! [X0] : (((humble(X0) | ~rich(X0)) | (~gen... | 0 |
Everyone who is both rich and tall is both not old and not patient and vice versa.
Everyone who is not kind or not strong is curious and vice versa.
If paul is both quiet and old then someone is not quiet.
If someone is not strong then someone is both old and not creative.
If someone is either not calm or rich then som... | Paul is calm. | neutral | (![X]:((rich(X)&tall(X))<=>(~old(X)&~patient(X))))&
(![X]:((~kind(X)|~strong(X))<=>curious(X)))&
(((quiet(paul)&old(paul)))=>(?[X]:(~quiet(X))))&
((?[X]:(~strong(X)))=>(?[X]:((old(X)&~creative(X)))))&
((?[X]:((~calm(X)<~>rich(X))))<=>(?[X]:((~creative(X)<~>~humble(X)))))&
(![X]:(~brave(X)<=>(generous(X)|~funny(X))))&
(... | calm(paul) | [] | null | 0 |
If alice is either not generous or not creative then fred is either humble or not tall. Everyone who is not tall is both generous and patient. If someone is not brave or not strong then someone is not tall or quiet. If someone is both kind and funny then lucy is not generous and vice versa. Everyone who is rich or calm... | Fred is not rich. | contradiction | (((~generous(alice)<~>~creative(alice)))=>((humble(fred)<~>~tall(fred))))&
(![X]:(~tall(X)=>(generous(X)&patient(X))))&
((?[X]:((~brave(X)|~strong(X))))=>(?[X]:((~tall(X)|quiet(X)))))&
((?[X]:((kind(X)&funny(X))))<=>(~generous(lucy)))&
(![X]:((rich(X)|calm(X))<=>(funny(X)<~>generous(X))))&
(![X]:((creative(X)<~>~funny(... | ~rich(fred) | [
"p4",
"p5",
"p6",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 277063702634761571523879
% SZS output start Proof for 277063702634761571523879
5. ! [X0] : ((calm(X0) | rich(X0)) <=> (funny(X0) <~> generous(X0))) [input p4]
6. ! [X0] : ((creative(X0) <~> ~funny(X0)) <=> (creative(X0) | ~rich(X0))) [input p5]
7. ! [X0] : (funny(X0) <=> (~generous(X0) <~... | 0 |
If someone is generous then alice is not calm or strong and vice versa.
Everyone who is both creative and not rich is creative and vice versa.
Everyone who is rich is not brave.
Everyone who is both old and not patient is both not humble and old and vice versa.
Everyone who is both generous and strong is either not pat... | Alice is not happy. | neutral | ((?[X]:(generous(X)))<=>((~calm(alice)|strong(alice))))&
(![X]:((creative(X)&~rich(X))<=>creative(X)))&
(![X]:(rich(X)=>~brave(X)))&
(![X]:((old(X)&~patient(X))<=>(~humble(X)&old(X))))&
(![X]:((generous(X)&strong(X))=>(~patient(X)<~>kind(X))))&
(![X]:((humble(X)&~humble(X))<=>(~happy(X)&~brave(X))))&
(![X]:((generous(X... | ~happy(alice) | [] | null | 0 |
Everyone who is not old or happy is not tall.
If lucy is not curious then someone is strong.
If someone is not rich or old then alice is happy and vice versa.
If susan is not rich or quiet then someone is strong or not generous.
If someone is both creative and not funny then john is both funny and brave.
If someone is ... | John is not wise. | neutral | (![X]:((~old(X)|happy(X))=>~tall(X)))&
((~curious(lucy))=>(?[X]:(strong(X))))&
((?[X]:((~rich(X)|old(X))))<=>(happy(alice)))&
(((~rich(susan)|quiet(susan)))=>(?[X]:((strong(X)|~generous(X)))))&
((?[X]:((creative(X)&~funny(X))))=>((funny(john)&brave(john))))&
((?[X]:((creative(X)&~kind(X))))=>(?[X]:((happy(X)|~strong(X)... | ~wise(john) | [] | null | 0 |
Everyone who is not brave is creative and vice versa.
Everyone who is both not brave and not rich is curious or not brave and vice versa.
Everyone who is not curious or curious is both strong and happy and vice versa.
If paul is either tall or quiet then someone is brave and vice versa.
If mary is both patient and tall... | John is brave. | entailment | (![X]:(~brave(X)<=>creative(X)))&
(![X]:((~brave(X)&~rich(X))<=>(curious(X)|~brave(X))))&
(![X]:((~curious(X)|curious(X))<=>(strong(X)&happy(X))))&
(((tall(paul)<~>quiet(paul)))<=>(?[X]:(brave(X))))&
(((patient(mary)&tall(mary)))<=>(?[X]:(humble(X))))&
(((tall(alice)<~>calm(alice)))=>(?[X]:((~curious(X)|~wise(X)))))&
(... | brave(john) | [
"p0",
"p2",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 885980575810757416559753
% SZS output start Proof for 885980575810757416559753
1. ! [X0] : (~brave(X0) <=> creative(X0)) [input p0]
3. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (happy(X0) & strong(X0))) [input p2]
9. (~creative(john) <~> rich(john)) <=> ? [X0] : (creative(X0) | wise(X0))... | 0 |
If someone is patient or not strong then someone is either not kind or not curious and vice versa.
Everyone who is either tall or not quiet is either not happy or not patient and vice versa.
Everyone who is either not patient or not creative is both happy and generous and vice versa.
Everyone who is both calm and not f... | Lucy is not patient. | contradiction | ((?[X]:((patient(X)|~strong(X))))<=>(?[X]:((~kind(X)<~>~curious(X)))))&
(![X]:((tall(X)<~>~quiet(X))<=>(~happy(X)<~>~patient(X))))&
(![X]:((~patient(X)<~>~creative(X))<=>(happy(X)&generous(X))))&
(![X]:((calm(X)&~funny(X))=>(quiet(X)<~>patient(X))))&
(![X]:((~kind(X)|~quiet(X))<=>(~generous(X)&curious(X))))&
((?[X]:((~... | ~patient(lucy) | [
"p2",
"p4",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8640568659566507359421726
% SZS output start Proof for 8640568659566507359421726
3. ! [X0] : ((~patient(X0) <~> ~creative(X0)) <=> (generous(X0) & happy(X0))) [input p2]
5. ! [X0] : ((~quiet(X0) | ~kind(X0)) <=> (curious(X0) & ~generous(X0))) [input p4]
10. ! [X0] : (generous(X0) <=> (str... | 0 |
Everyone who is creative or not calm is both not tall and generous. Everyone who is either funny or not strong is both old and creative and vice versa. Everyone who is not strong is either not happy or humble and vice versa. Everyone who is creative or not funny is calm or not humble. Everyone who is not rich or not cu... | Alice is curious. | neutral | (![X]:((creative(X)|~calm(X))=>(~tall(X)&generous(X))))&
(![X]:((funny(X)<~>~strong(X))<=>(old(X)&creative(X))))&
(![X]:(~strong(X)<=>(~happy(X)<~>humble(X))))&
(![X]:((creative(X)|~funny(X))=>(calm(X)|~humble(X))))&
(![X]:((~rich(X)|~curious(X))<=>patient(X)))&
(((~brave(alice)<~>patient(alice)))=>((~tall(mary)<~>~bra... | curious(alice) | [] | null | 0 |
Everyone who is not quiet is brave or wise. Everyone who is both curious and happy is not brave. Everyone who is tall or creative is funny. Everyone who is either creative or not funny is either not generous or not calm. Everyone who is not creative is humble and vice versa. Everyone who is not creative is rich or funn... | John is tall. | neutral | (![X]:(~quiet(X)=>(brave(X)|wise(X))))&
(![X]:((curious(X)&happy(X))=>~brave(X)))&
(![X]:((tall(X)|creative(X))=>funny(X)))&
(![X]:((creative(X)<~>~funny(X))=>(~generous(X)<~>~calm(X))))&
(![X]:(~creative(X)<=>humble(X)))&
(![X]:(~creative(X)<=>(rich(X)|funny(X))))&
(![X]:((~humble(X)|~funny(X))<=>(tall(X)&~funny(X))))... | tall(john) | [] | null | 0 |
If someone is strong then alice is calm. Everyone who is either not brave or tall is both funny and tall. Everyone who is both not tall and humble is both kind and curious and vice versa. If fred is generous then someone is not wise and vice versa. If someone is either not brave or curious then lucy is either not tall ... | John is not old. | contradiction | ((?[X]:(strong(X)))=>(calm(alice)))&
(![X]:((~brave(X)<~>tall(X))=>(funny(X)&tall(X))))&
(![X]:((~tall(X)&humble(X))<=>(kind(X)&curious(X))))&
((generous(fred))<=>(?[X]:(~wise(X))))&
((?[X]:((~brave(X)<~>curious(X))))<=>((~tall(lucy)<~>~strong(lucy))))&
(![X]:((~generous(X)<~>quiet(X))=>(old(X)<~>~rich(X))))&
((?[X]:(~... | ~old(john) | [
"p7",
"p8",
"p13",
"p14",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2475135141754986098852542
% SZS output start Proof for 2475135141754986098852542
8. ! [X0] : ((kind(X0) | ~quiet(X0)) <=> (happy(X0) <~> ~creative(X0))) [input p7]
9. ! [X0] : ((creative(X0) | ~kind(X0)) <=> ~quiet(X0)) [input p8]
14. ! [X0] : ((~happy(X0) | ~rich(X0)) => generous(X0)) [i... | 0 |
Everyone who is kind is either patient or old and vice versa. Everyone who is tall is either strong or old and vice versa. Everyone who is both rich and old is either strong or humble and vice versa. Everyone who is strong or not creative is either not calm or generous and vice versa. Everyone who is both not generous ... | Mary is calm. | neutral | (![X]:(kind(X)<=>(patient(X)<~>old(X))))&
(![X]:(tall(X)<=>(strong(X)<~>old(X))))&
(![X]:((rich(X)&old(X))<=>(strong(X)<~>humble(X))))&
(![X]:((strong(X)|~creative(X))<=>(~calm(X)<~>generous(X))))&
(![X]:((~generous(X)&old(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:((funny(X)<~>generous(X))<=>(wise(X)<~>~strong(X))))&
((?[X]... | calm(mary) | [] | null | 0 |
If someone is generous then alice is not calm or strong and vice versa.
Everyone who is both creative and not rich is creative and vice versa.
Everyone who is rich is not brave.
Everyone who is both old and not patient is both not humble and old and vice versa.
Everyone who is both generous and strong is either not pat... | Alice is not happy. | neutral | ((?[X]:(generous(X)))<=>((~calm(alice)|strong(alice))))&
(![X]:((creative(X)&~rich(X))<=>creative(X)))&
(![X]:(rich(X)=>~brave(X)))&
(![X]:((old(X)&~patient(X))<=>(~humble(X)&old(X))))&
(![X]:((generous(X)&strong(X))=>(~patient(X)<~>kind(X))))&
(![X]:((humble(X)&~humble(X))<=>(~happy(X)&~brave(X))))&
(![X]:((generous(X... | ~happy(alice) | [] | null | 0 |
If fred is both strong and creative then someone is not quiet and vice versa. Everyone who is not tall is both not tall and not happy and vice versa. Everyone who is either not strong or not generous is old or not brave. If paul is either not wise or patient then someone is either old or not generous and vice versa. Ev... | John is quiet. | entailment | (((strong(fred)&creative(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:(~tall(X)<=>(~tall(X)&~happy(X))))&
(![X]:((~strong(X)<~>~generous(X))=>(old(X)|~brave(X))))&
(((~wise(paul)<~>patient(paul)))<=>(?[X]:((old(X)<~>~generous(X)))))&
(![X]:((~humble(X)&kind(X))=>(calm(X)<~>~kind(X))))&
(((generous(alice)|calm(alice)))=>((~tall... | quiet(john) | [
"p0",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1155586340172683389582827
% SZS output start Proof for 1155586340172683389582827
1. (creative(fred) & strong(fred)) <=> ? [X0] : ~quiet(X0) [input p0]
13. ! [X0] : (creative(X0) <=> (generous(X0) & ~strong(X0))) [input p12]
25. ~quiet(john) [input hypothesis]
35. ((creative(fred) & strong... | 0 |
Everyone who is either not patient or not humble is creative and vice versa.
If lucy is not quiet then fred is either not calm or not quiet and vice versa.
Everyone who is both patient and not curious is old and vice versa.
If alice is not kind or not tall then someone is either tall or not brave.
Everyone who is eithe... | Fred is not calm. | neutral | (![X]:((~patient(X)<~>~humble(X))<=>creative(X)))&
((~quiet(lucy))<=>((~calm(fred)<~>~quiet(fred))))&
(![X]:((patient(X)&~curious(X))<=>old(X)))&
(((~kind(alice)|~tall(alice)))=>(?[X]:((tall(X)<~>~brave(X)))))&
(![X]:((~generous(X)<~>rich(X))=>(~old(X)|generous(X))))&
(((~creative(john)|~happy(john)))<=>((~funny(john)&... | ~calm(fred) | [] | null | 0 |
Everyone who is either generous or not old is either curious or not happy. If lucy is both quiet and not quiet then alice is either kind or not tall and vice versa. If someone is either not quiet or old then susan is either not happy or not curious and vice versa. Everyone who is not wise or not humble is either humble... | Susan is not generous. | entailment | (![X]:((generous(X)<~>~old(X))=>(curious(X)<~>~happy(X))))&
(((quiet(lucy)&~quiet(lucy)))<=>((kind(alice)<~>~tall(alice))))&
((?[X]:((~quiet(X)<~>old(X))))<=>((~happy(susan)<~>~curious(susan))))&
(![X]:((~wise(X)|~humble(X))=>(humble(X)<~>~brave(X))))&
(![X]:((~humble(X)&patient(X))<=>(old(X)&~brave(X))))&
((?[X]:(~wis... | ~generous(susan) | [
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3404501648609580116794139
% SZS output start Proof for 3404501648609580116794139
8. ! [X0] : ((~rich(X0) | generous(X0)) => (strong(X0) & ~calm(X0))) [input p7]
13. ~generous(john) => ? [X0] : ~kind(X0) [input p12]
15. ? [X0] : (~kind(X0) | generous(X0)) => (calm(susan) & ~wise(susan)) [i... | 0 |
If john is calm or generous then someone is not happy.
Everyone who is both not wise and calm is old.
If alice is either not strong or not brave then someone is funny and vice versa.
Everyone who is not tall or creative is either creative or not calm.
If fred is old or not strong then someone is old or kind and vice ve... | Susan is brave. | neutral | (((calm(john)|generous(john)))=>(?[X]:(~happy(X))))&
(![X]:((~wise(X)&calm(X))=>old(X)))&
(((~strong(alice)<~>~brave(alice)))<=>(?[X]:(funny(X))))&
(![X]:((~tall(X)|creative(X))=>(creative(X)<~>~calm(X))))&
(((old(fred)|~strong(fred)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:((~creative(X)&happy(X))=>(patient(X)&~generous(... | brave(susan) | [] | null | 0 |
Everyone who is both quiet and not funny is either curious or not generous and vice versa.
Everyone who is both tall and not generous is creative or not happy and vice versa.
Everyone who is not curious or wise is not generous and vice versa.
Everyone who is not generous or not funny is funny.
Everyone who is old is no... | Lucy is not tall. | entailment | (![X]:((quiet(X)&~funny(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((tall(X)&~generous(X))<=>(creative(X)|~happy(X))))&
(![X]:((~curious(X)|wise(X))<=>~generous(X)))&
(![X]:((~generous(X)|~funny(X))=>funny(X)))&
(![X]:(old(X)<=>~creative(X)))&
((?[X]:((~creative(X)<~>creative(X))))<=>((rich(alice)<~>kind(alice))))&
(![... | ~tall(lucy) | [
"p0",
"p2",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3473759436703516840181476
% SZS output start Proof for 3473759436703516840181476
1. ! [X0] : ((~funny(X0) & quiet(X0)) <=> (curious(X0) <~> ~generous(X0))) [input p0]
3. ! [X0] : ((wise(X0) | ~curious(X0)) <=> ~generous(X0)) [input p2]
4. ! [X0] : ((~funny(X0) | ~generous(X0)) => funny(X0... | 0 |
If mary is both not wise and humble then susan is strong. Everyone who is not funny or funny is either not humble or not brave. If someone is not curious then someone is both creative and kind. Everyone who is funny or not creative is not wise and vice versa. Everyone who is not strong or patient is either not creative... | Paul is strong. | neutral | (((~wise(mary)&humble(mary)))=>(strong(susan)))&
(![X]:((~funny(X)|funny(X))=>(~humble(X)<~>~brave(X))))&
((?[X]:(~curious(X)))=>(?[X]:((creative(X)&kind(X)))))&
(![X]:((funny(X)|~creative(X))<=>~wise(X)))&
(![X]:((~strong(X)|patient(X))=>(~creative(X)<~>funny(X))))&
(![X]:((wise(X)<~>curious(X))<=>(brave(X)<~>~humble(... | strong(paul) | [] | null | 0 |
Everyone who is quiet is not rich or not old and vice versa. Everyone who is funny or strong is generous. Everyone who is not calm is creative or not old. If someone is not happy then someone is either not brave or not humble and vice versa. If john is either not curious or not patient then susan is not calm. Everyone ... | Alice is patient. | neutral | (![X]:(quiet(X)<=>(~rich(X)|~old(X))))&
(![X]:((funny(X)|strong(X))=>generous(X)))&
(![X]:(~calm(X)=>(creative(X)|~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(((~curious(john)<~>~patient(john)))=>(~calm(susan)))&
(![X]:((funny(X)|~kind(X))=>(~generous(X)<~>~wise(X))))&
(((~humble(susan)|kind(s... | patient(alice) | [] | null | 0 |
If someone is both quiet and not generous then lucy is happy.
Everyone who is both not strong and not creative is either not creative or creative and vice versa.
If fred is either not patient or creative then lucy is quiet or generous and vice versa.
If someone is both calm and brave then john is wise or not wise and v... | Susan is not calm. | contradiction | ((?[X]:((quiet(X)&~generous(X))))=>(happy(lucy)))&
(![X]:((~strong(X)&~creative(X))<=>(~creative(X)<~>creative(X))))&
(((~patient(fred)<~>creative(fred)))<=>((quiet(lucy)|generous(lucy))))&
((?[X]:((calm(X)&brave(X))))<=>((wise(john)|~wise(john))))&
(![X]:((tall(X)|~generous(X))=>strong(X)))&
((?[X]:(~funny(X)))<=>((cr... | ~calm(susan) | [
"p1",
"p4",
"p7",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4024823522268232941214397
% SZS output start Proof for 4024823522268232941214397
2. ! [X0] : ((~creative(X0) & ~strong(X0)) <=> (~creative(X0) <~> creative(X0))) [input p1]
5. ! [X0] : ((~generous(X0) | tall(X0)) => strong(X0)) [input p4]
8. ! [X0] : ((calm(X0) <~> ~curious(X0)) <=> gener... | 0 |
Everyone who is not rich is either not quiet or old and vice versa.
Everyone who is not patient is both not patient and tall.
If john is both not rich and happy then someone is both funny and not funny.
If susan is either happy or not generous then mary is not tall.
If someone is both not quiet and not rich then someon... | John is rich. | entailment | (![X]:(~rich(X)<=>(~quiet(X)<~>old(X))))&
(![X]:(~patient(X)=>(~patient(X)&tall(X))))&
(((~rich(john)&happy(john)))=>(?[X]:((funny(X)&~funny(X)))))&
(((happy(susan)<~>~generous(susan)))=>(~tall(mary)))&
((?[X]:((~quiet(X)&~rich(X))))<=>(?[X]:(tall(X))))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:(funny(X))))&
(![X]:(hap... | rich(john) | [
"p5",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3943670909038696729973323
% SZS output start Proof for 3943670909038696729973323
6. ? [X0] : (~kind(X0) | ~creative(X0)) => ? [X0] : funny(X0) [input p5]
9. ! [X0] : (~rich(X0) <=> (~creative(X0) & ~quiet(X0))) [input p8]
15. ! [X0] : (~funny(X0) <=> (~generous(X0) | generous(X0))) [input... | 0 |
Everyone who is both creative and not tall is rich and vice versa.
Everyone who is wise is creative or strong.
If fred is quiet or wise then alice is both not curious and not wise.
If paul is both not quiet and strong then mary is humble or happy and vice versa.
Everyone who is patient is either humble or happy.
Everyo... | John is creative. | neutral | (![X]:((creative(X)&~tall(X))<=>rich(X)))&
(![X]:(wise(X)=>(creative(X)|strong(X))))&
(((quiet(fred)|wise(fred)))=>((~curious(alice)&~wise(alice))))&
(((~quiet(paul)&strong(paul)))<=>((humble(mary)|happy(mary))))&
(![X]:(patient(X)=>(humble(X)<~>happy(X))))&
(![X]:(strong(X)=>(~old(X)|~tall(X))))&
(![X]:((~humble(X)|~g... | creative(john) | [] | null | 0 |
If lucy is either funny or not rich then susan is both calm and brave. If someone is wise then someone is rich or not strong. Everyone who is not strong is both not tall and generous and vice versa. Everyone who is both not funny and rich is not curious or not patient and vice versa. Everyone who is not tall or not hum... | Lucy is not quiet. | contradiction | (((funny(lucy)<~>~rich(lucy)))=>((calm(susan)&brave(susan))))&
((?[X]:(wise(X)))=>(?[X]:((rich(X)|~strong(X)))))&
(![X]:(~strong(X)<=>(~tall(X)&generous(X))))&
(![X]:((~funny(X)&rich(X))<=>(~curious(X)|~patient(X))))&
(![X]:((~tall(X)|~humble(X))=>(~generous(X)&~rich(X))))&
((?[X]:((quiet(X)|old(X))))=>(?[X]:(humble(X)... | ~quiet(lucy) | [
"p3",
"p4",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2007669688026783094681152
% SZS output start Proof for 2007669688026783094681152
4. ! [X0] : ((rich(X0) & ~funny(X0)) <=> (~patient(X0) | ~curious(X0))) [input p3]
5. ! [X0] : ((~humble(X0) | ~tall(X0)) => (~rich(X0) & ~generous(X0))) [input p4]
10. ! [X0] : ((quiet(X0) <~> ~tall(X0)) <=>... | 0 |
Everyone who is creative or not brave is strong and vice versa. If susan is not brave or not humble then someone is wise and vice versa. Everyone who is both not wise and not quiet is humble and vice versa. Everyone who is not happy is not wise. If someone is not creative then john is both not brave and creative and vi... | Susan is funny. | contradiction | (![X]:((creative(X)|~brave(X))<=>strong(X)))&
(((~brave(susan)|~humble(susan)))<=>(?[X]:(wise(X))))&
(![X]:((~wise(X)&~quiet(X))<=>humble(X)))&
(![X]:(~happy(X)=>~wise(X)))&
((?[X]:(~creative(X)))<=>((~brave(john)&creative(john))))&
(![X]:((~quiet(X)&happy(X))=>(patient(X)<~>~quiet(X))))&
(![X]:((happy(X)|quiet(X))<=>(... | funny(susan) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4675467525546859063346307
% SZS output start Proof for 4675467525546859063346307
1. ! [X0] : ((~brave(X0) | creative(X0)) <=> strong(X0)) [input p0]
2. (~humble(susan) | ~brave(susan)) <=> ? [X0] : wise(X0) [input p1]
3. ! [X0] : ((~quiet(X0) & ~wise(X0)) <=> humble(X0)) [input p2]
4. ! [... | 0 |
Everyone who is both generous and tall is happy or not funny and vice versa. If someone is either calm or kind then someone is not funny or patient. Everyone who is either curious or humble is happy and vice versa. Everyone who is not funny is both strong and not old and vice versa. If someone is either tall or happy t... | Susan is curious. | contradiction | (![X]:((generous(X)&tall(X))<=>(happy(X)|~funny(X))))&
((?[X]:((calm(X)<~>kind(X))))=>(?[X]:((~funny(X)|patient(X)))))&
(![X]:((curious(X)<~>humble(X))<=>happy(X)))&
(![X]:(~funny(X)<=>(strong(X)&~old(X))))&
((?[X]:((tall(X)<~>happy(X))))=>((~quiet(fred)|calm(fred))))&
(![X]:((~kind(X)<~>~wise(X))<=>(~wise(X)&~generous... | curious(susan) | [
"p0",
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6698426037117602803300103
% SZS output start Proof for 6698426037117602803300103
1. ! [X0] : ((tall(X0) & generous(X0)) <=> (~funny(X0) | happy(X0))) [input p0]
3. ! [X0] : ((curious(X0) <~> humble(X0)) <=> happy(X0)) [input p2]
10. ! [X0] : (tall(X0) <=> ~curious(X0)) [input p9]
13. ! [X... | 0 |
Everyone who is both not rich and not kind is not humble and vice versa. If someone is not curious then someone is either funny or not generous. Everyone who is both not kind and not curious is not patient. Everyone who is both not humble and not creative is either not curious or not patient. Everyone who is old or ric... | Lucy is not strong. | contradiction | (![X]:((~rich(X)&~kind(X))<=>~humble(X)))&
((?[X]:(~curious(X)))=>(?[X]:((funny(X)<~>~generous(X)))))&
(![X]:((~kind(X)&~curious(X))=>~patient(X)))&
(![X]:((~humble(X)&~creative(X))=>(~curious(X)<~>~patient(X))))&
(![X]:((old(X)|rich(X))<=>(~rich(X)|strong(X))))&
(((old(alice)&~generous(alice)))=>(?[X]:((old(X)&~creati... | ~strong(lucy) | [
"p4",
"p6",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7719607980938335574727286
% SZS output start Proof for 7719607980938335574727286
5. ! [X0] : ((rich(X0) | old(X0)) <=> (strong(X0) | ~rich(X0))) [input p4]
7. ! [X0] : ((patient(X0) | ~quiet(X0)) => ~patient(X0)) [input p6]
8. ! [X0] : (funny(X0) => wise(X0)) [input p7]
10. (tall(mary) & ... | 0 |
If paul is not calm or brave then someone is both not old and not rich and vice versa.
Everyone who is brave or not wise is humble and vice versa.
Everyone who is not quiet or humble is both creative and not tall.
Everyone who is either not creative or generous is humble or not generous and vice versa.
Everyone who is ... | Paul is brave. | contradiction | (((~calm(paul)|brave(paul)))<=>(?[X]:((~old(X)&~rich(X)))))&
(![X]:((brave(X)|~wise(X))<=>humble(X)))&
(![X]:((~quiet(X)|humble(X))=>(creative(X)&~tall(X))))&
(![X]:((~creative(X)<~>generous(X))<=>(humble(X)|~generous(X))))&
(![X]:((~funny(X)<~>~quiet(X))=>(~old(X)<~>curious(X))))&
(![X]:((~creative(X)&calm(X))<=>patie... | brave(paul) | [
"p0",
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1789562690655505417358768
% SZS output start Proof for 1789562690655505417358768
1. (brave(paul) | ~calm(paul)) <=> ? [X0] : (~rich(X0) & ~old(X0)) [input p0]
3. ! [X0] : ((humble(X0) | ~quiet(X0)) => (~tall(X0) & creative(X0))) [input p2]
13. ! [X0] : ((~humble(X0) | creative(X0)) <=> (o... | 0 |
Everyone who is curious is strong or not funny and vice versa.
If someone is both patient and not curious then someone is not generous or not tall and vice versa.
If someone is both not quiet and not happy then paul is either tall or not brave.
Everyone who is either wise or tall is not happy or not tall and vice versa... | Fred is quiet. | entailment | (![X]:(curious(X)<=>(strong(X)|~funny(X))))&
((?[X]:((patient(X)&~curious(X))))<=>(?[X]:((~generous(X)|~tall(X)))))&
((?[X]:((~quiet(X)&~happy(X))))=>((tall(paul)<~>~brave(paul))))&
(![X]:((wise(X)<~>tall(X))<=>(~happy(X)|~tall(X))))&
(((~old(susan)|~curious(susan)))=>(?[X]:(calm(X))))&
((?[X]:((~brave(X)|brave(X))))=>... | quiet(fred) | [
"p0",
"p1",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8566803070551655124507133
% SZS output start Proof for 8566803070551655124507133
1. ! [X0] : (curious(X0) <=> (~funny(X0) | strong(X0))) [input p0]
2. ? [X0] : (~curious(X0) & patient(X0)) <=> ? [X0] : (~tall(X0) | ~generous(X0)) [input p1]
13. ? [X0] : generous(X0) <=> (curious(fred) & q... | 0 |
Everyone who is strong or rich is not happy or not kind. Everyone who is either creative or not brave is generous or creative and vice versa. If lucy is both wise and not quiet then someone is not brave. If susan is both not patient and humble then someone is both not patient and not tall. Everyone who is creative or c... | John is not funny. | contradiction | (![X]:((strong(X)|rich(X))=>(~happy(X)|~kind(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(generous(X)|creative(X))))&
(((wise(lucy)&~quiet(lucy)))=>(?[X]:(~brave(X))))&
(((~patient(susan)&humble(susan)))=>(?[X]:((~patient(X)&~tall(X)))))&
(![X]:((creative(X)|calm(X))<=>rich(X)))&
((?[X]:((strong(X)&calm(X))))=>(?[X]:((cu... | ~funny(john) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1430409250399058280187014
% SZS output start Proof for 1430409250399058280187014
23. ~wise(john) & funny(john) [input p22]
25. ~funny(john) [input hypothesis]
132. funny(john) [cnf transformation 23]
135. ~funny(john) [cnf transformation 25]
321. $false [subsumption resolution 135,132]
% ... | 0 |
Everyone who is both curious and wise is not kind and vice versa. If someone is both old and not rich then someone is funny and vice versa. If susan is either not creative or funny then susan is not generous or not quiet and vice versa. Everyone who is both not calm and not creative is both rich and not old and vice ve... | Lucy is patient. | entailment | (![X]:((curious(X)&wise(X))<=>~kind(X)))&
((?[X]:((old(X)&~rich(X))))<=>(?[X]:(funny(X))))&
(((~creative(susan)<~>funny(susan)))<=>((~generous(susan)|~quiet(susan))))&
(![X]:((~calm(X)&~creative(X))<=>(rich(X)&~old(X))))&
((?[X]:((~patient(X)|brave(X))))<=>((~creative(paul)&wise(paul))))&
(((strong(lucy)|quiet(lucy)))=... | patient(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 377649956892428334052527
% SZS output start Proof for 377649956892428334052527
1. ! [X0] : ((wise(X0) & curious(X0)) <=> ~kind(X0)) [input p0]
2. ? [X0] : (~rich(X0) & old(X0)) <=> ? [X0] : funny(X0) [input p1]
4. ! [X0] : ((~creative(X0) & ~calm(X0)) <=> (~old(X0) & rich(X0))) [input p3]... | 0 |
Everyone who is not quiet or not calm is both not happy and patient.
Everyone who is creative is not wise or tall and vice versa.
If john is not patient then susan is either not curious or creative and vice versa.
If someone is both not funny and not generous then paul is strong or brave and vice versa.
If someone is h... | Fred is tall. | neutral | (![X]:((~quiet(X)|~calm(X))=>(~happy(X)&patient(X))))&
(![X]:(creative(X)<=>(~wise(X)|tall(X))))&
((~patient(john))<=>((~curious(susan)<~>creative(susan))))&
((?[X]:((~funny(X)&~generous(X))))<=>((strong(paul)|brave(paul))))&
((?[X]:(humble(X)))<=>(?[X]:((kind(X)&~funny(X)))))&
(![X]:((~happy(X)|strong(X))=>(~strong(X)... | tall(fred) | [] | null | 0 |
If paul is either happy or calm then someone is tall and vice versa.
If susan is funny then alice is either not old or generous.
If someone is quiet then someone is calm and vice versa.
Everyone who is not strong or kind is both not creative and creative.
Everyone who is not happy is not strong or not generous.
Everyon... | Susan is happy. | entailment | (((happy(paul)<~>calm(paul)))<=>(?[X]:(tall(X))))&
((funny(susan))=>((~old(alice)<~>generous(alice))))&
((?[X]:(quiet(X)))<=>(?[X]:(calm(X))))&
(![X]:((~strong(X)|kind(X))=>(~creative(X)&creative(X))))&
(![X]:(~happy(X)=>(~strong(X)|~generous(X))))&
(![X]:((tall(X)&~funny(X))=>(generous(X)<~>~brave(X))))&
((?[X]:((happ... | happy(susan) | [
"p3",
"p4",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7500930172044799464889616
% SZS output start Proof for 7500930172044799464889616
4. ! [X0] : ((kind(X0) | ~strong(X0)) => (creative(X0) & ~creative(X0))) [input p3]
5. ! [X0] : (~happy(X0) => (~generous(X0) | ~strong(X0))) [input p4]
11. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (generous... | 0 |
Everyone who is not happy or not brave is happy and vice versa.
Everyone who is rich is both not wise and strong.
If someone is tall then susan is both tall and patient and vice versa.
If mary is not rich then someone is either patient or not patient.
If lucy is both funny and not kind then someone is either not tall o... | John is not creative. | contradiction | (![X]:((~happy(X)|~brave(X))<=>happy(X)))&
(![X]:(rich(X)=>(~wise(X)&strong(X))))&
((?[X]:(tall(X)))<=>((tall(susan)&patient(susan))))&
((~rich(mary))=>(?[X]:((patient(X)<~>~patient(X)))))&
(((funny(lucy)&~kind(lucy)))<=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:((strong(X)|~wise(X))<=>(~tall(X)&~generous(X))))&
(![X]:(... | ~creative(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1544584196885946900246587
% SZS output start Proof for 1544584196885946900246587
10. ! [X0] : (~creative(X0) <=> (~quiet(X0) & quiet(X0))) [input p9]
23. ~creative(john) [input hypothesis]
24. ! [X0] : (~creative(X0) => (~quiet(X0) & quiet(X0))) [unused predicate definition removal 10]
28... | 0 |
If someone is not humble or not quiet then john is humble or not curious and vice versa.
Everyone who is either old or not quiet is either not quiet or not creative.
Everyone who is not quiet or not creative is both strong and not wise and vice versa.
Everyone who is both not brave and kind is either not funny or not c... | Susan is not generous. | entailment | ((?[X]:((~humble(X)|~quiet(X))))<=>((humble(john)|~curious(john))))&
(![X]:((old(X)<~>~quiet(X))=>(~quiet(X)<~>~creative(X))))&
(![X]:((~quiet(X)|~creative(X))<=>(strong(X)&~wise(X))))&
(![X]:((~brave(X)&kind(X))=>(~funny(X)<~>~creative(X))))&
((strong(mary))=>(?[X]:((~tall(X)&~curious(X)))))&
(![X]:((~patient(X)<~>cal... | ~generous(susan) | [
"p1",
"p7",
"p10",
"p12",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3999221608657249613400190
% SZS output start Proof for 3999221608657249613400190
2. ! [X0] : ((old(X0) <~> ~quiet(X0)) => (~quiet(X0) <~> ~creative(X0))) [input p1]
8. ! [X0] : ((~wise(X0) | ~funny(X0)) => (kind(X0) & old(X0))) [input p7]
11. ? [X0] : (brave(X0) <~> calm(X0)) => (~wise(su... | 0 |
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