premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If alice is quiet then john is not brave or humble and vice versa.
Everyone who is both not wise and quiet is not calm.
Everyone who is not patient or not brave is not curious or not kind and vice versa.
If paul is not quiet then someone is curious and vice versa.
Everyone who is either not kind or curious is old or ri... | John is quiet. | neutral | ((quiet(alice))<=>((~brave(john)|humble(john))))&
(![X]:((~wise(X)&quiet(X))=>~calm(X)))&
(![X]:((~patient(X)|~brave(X))<=>(~curious(X)|~kind(X))))&
((~quiet(paul))<=>(?[X]:(curious(X))))&
(![X]:((~kind(X)<~>curious(X))=>(old(X)|rich(X))))&
(((~quiet(susan)<~>brave(susan)))=>(?[X]:((~rich(X)&~kind(X)))))&
((wise(alice)... | quiet(john) | [] | null | 0 |
If someone is both kind and patient then someone is either not creative or not brave.
If alice is generous or not patient then mary is both strong and not humble and vice versa.
Everyone who is old is not funny or brave and vice versa.
Everyone who is not quiet or not kind is both rich and not old and vice versa.
Every... | Lucy is funny. | contradiction | ((?[X]:((kind(X)&patient(X))))=>(?[X]:((~creative(X)<~>~brave(X)))))&
(((generous(alice)|~patient(alice)))<=>((strong(mary)&~humble(mary))))&
(![X]:(old(X)<=>(~funny(X)|brave(X))))&
(![X]:((~quiet(X)|~kind(X))<=>(rich(X)&~old(X))))&
(![X]:((~happy(X)|~old(X))=>(patient(X)&quiet(X))))&
(((kind(lucy)<~>wise(lucy)))<=>(?[... | funny(lucy) | [
"p3",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6760640664414537963366634
% SZS output start Proof for 6760640664414537963366634
4. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> (~old(X0) & rich(X0))) [input p3]
5. ! [X0] : ((~old(X0) | ~happy(X0)) => (quiet(X0) & patient(X0))) [input p4]
13. ? [X0] : (quiet(X0) <~> ~funny(X0)) <=> (rich(susa... | 0 |
Everyone who is both patient and generous is both wise and creative. Everyone who is both calm and happy is both strong and not tall and vice versa. Everyone who is rich is both wise and kind and vice versa. Everyone who is not creative or not humble is funny and vice versa. Everyone who is either curious or kind is br... | Susan is not wise. | neutral | (![X]:((patient(X)&generous(X))=>(wise(X)&creative(X))))&
(![X]:((calm(X)&happy(X))<=>(strong(X)&~tall(X))))&
(![X]:(rich(X)<=>(wise(X)&kind(X))))&
(![X]:((~creative(X)|~humble(X))<=>funny(X)))&
(![X]:((curious(X)<~>kind(X))<=>brave(X)))&
(![X]:((wise(X)|curious(X))=>(humble(X)|~calm(X))))&
(((quiet(lucy)|brave(lucy)))... | ~wise(susan) | [] | null | 0 |
If someone is not old or not happy then john is both wise and calm.
Everyone who is both strong and not creative is both curious and humble.
Everyone who is both strong and old is patient or strong.
Everyone who is both creative and not funny is not creative and vice versa.
Everyone who is both curious and brave is eit... | John is not wise. | entailment | ((?[X]:((~old(X)|~happy(X))))=>((wise(john)&calm(john))))&
(![X]:((strong(X)&~creative(X))=>(curious(X)&humble(X))))&
(![X]:((strong(X)&old(X))=>(patient(X)|strong(X))))&
(![X]:((creative(X)&~funny(X))<=>~creative(X)))&
(![X]:((curious(X)&brave(X))=>(curious(X)<~>tall(X))))&
((?[X]:(creative(X)))<=>((~patient(john)|~br... | ~wise(john) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8457712490022966254147975
% SZS output start Proof for 8457712490022966254147975
11. ! [X0] : ((~wise(X0) <~> ~calm(X0)) <=> rich(X0)) [input p10]
14. ! [X0] : ((rich(X0) | calm(X0)) => ~wise(X0)) [input p13]
24. wise(john) [input hypothesis]
42. ! [X0] : (~wise(X0) | (~rich(X0) & ~calm(X... | 0 |
If lucy is both humble and not creative then someone is patient.
Everyone who is not generous or not happy is both not strong and not curious.
Everyone who is not calm or generous is both generous and not kind and vice versa.
If mary is both not quiet and calm then someone is tall or kind and vice versa.
Everyone who i... | Fred is tall. | contradiction | (((humble(lucy)&~creative(lucy)))=>(?[X]:(patient(X))))&
(![X]:((~generous(X)|~happy(X))=>(~strong(X)&~curious(X))))&
(![X]:((~calm(X)|generous(X))<=>(generous(X)&~kind(X))))&
(((~quiet(mary)&calm(mary)))<=>(?[X]:((tall(X)|kind(X)))))&
(![X]:((tall(X)<~>calm(X))<=>(rich(X)|humble(X))))&
((?[X]:((~rich(X)&tall(X))))=>((... | tall(fred) | [
"p4",
"p5",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6837234038224797483978536
% SZS output start Proof for 6837234038224797483978536
5. ! [X0] : ((tall(X0) <~> calm(X0)) <=> (humble(X0) | rich(X0))) [input p4]
6. ? [X0] : (tall(X0) & ~rich(X0)) => (brave(paul) & ~quiet(paul)) [input p5]
12. ! [X0] : (happy(X0) <=> (rich(X0) <~> brave(X0)))... | 0 |
If john is both generous and rich then john is either not curious or not old.
If alice is not humble or not strong then alice is either not brave or not strong and vice versa.
Everyone who is both not happy and happy is either humble or strong and vice versa.
Everyone who is happy is not quiet or wise and vice versa.
I... | Alice is strong. | contradiction | (((generous(john)&rich(john)))=>((~curious(john)<~>~old(john))))&
(((~humble(alice)|~strong(alice)))<=>((~brave(alice)<~>~strong(alice))))&
(![X]:((~happy(X)&happy(X))<=>(humble(X)<~>strong(X))))&
(![X]:(happy(X)<=>(~quiet(X)|wise(X))))&
((?[X]:((~generous(X)|quiet(X))))<=>((~patient(susan)<~>~happy(susan))))&
(((~humb... | strong(alice) | [
"p5",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8931689858641603699752201
% SZS output start Proof for 8931689858641603699752201
6. (happy(lucy) & ~humble(lucy)) <=> ? [X0] : (~tall(X0) | ~patient(X0)) [input p5]
8. ! [X0] : ((~generous(X0) | strong(X0)) <=> (~tall(X0) | ~quiet(X0))) [input p7]
11. ? [X0] : (quiet(X0) & happy(X0)) => ?... | 0 |
Everyone who is not calm is humble and vice versa.
If someone is kind then paul is both tall and not patient and vice versa.
Everyone who is either wise or not humble is either calm or generous and vice versa.
If fred is not calm or not quiet then john is both not rich and quiet and vice versa.
Everyone who is not funn... | Alice is not rich. | entailment | (![X]:(~calm(X)<=>humble(X)))&
((?[X]:(kind(X)))<=>((tall(paul)&~patient(paul))))&
(![X]:((wise(X)<~>~humble(X))<=>(calm(X)<~>generous(X))))&
(((~calm(fred)|~quiet(fred)))<=>((~rich(john)&quiet(john))))&
(![X]:((~funny(X)|rich(X))<=>(funny(X)<~>happy(X))))&
(((~quiet(paul)|humble(paul)))=>((generous(alice)&~funny(alice... | ~rich(alice) | [
"p0",
"p2",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8562514316232018887777136
% SZS output start Proof for 8562514316232018887777136
1. ! [X0] : (~calm(X0) <=> humble(X0)) [input p0]
3. ! [X0] : ((wise(X0) <~> ~humble(X0)) <=> (calm(X0) <~> generous(X0))) [input p2]
10. ! [X0] : ((~generous(X0) | ~patient(X0)) => (old(X0) <~> ~generous(X0)... | 0 |
Everyone who is both not rich and not brave is curious and vice versa. If lucy is either not patient or creative then someone is not old or not creative and vice versa. Everyone who is both tall and not calm is both strong and creative. Everyone who is either not happy or not patient is both not calm and not old and vi... | Susan is patient. | neutral | (![X]:((~rich(X)&~brave(X))<=>curious(X)))&
(((~patient(lucy)<~>creative(lucy)))<=>(?[X]:((~old(X)|~creative(X)))))&
(![X]:((tall(X)&~calm(X))=>(strong(X)&creative(X))))&
(![X]:((~happy(X)<~>~patient(X))<=>(~calm(X)&~old(X))))&
((?[X]:(~humble(X)))=>(?[X]:((funny(X)&~funny(X)))))&
(![X]:(~funny(X)<=>(~kind(X)&~patient(... | patient(susan) | [] | null | 0 |
If lucy is either not creative or not generous then someone is both curious and not happy. If mary is not old then someone is either humble or patient and vice versa. If fred is not rich then someone is creative or happy. If mary is either calm or wise then someone is patient or happy. If someone is kind then alice is ... | Paul is creative. | contradiction | (((~creative(lucy)<~>~generous(lucy)))=>(?[X]:((curious(X)&~happy(X)))))&
((~old(mary))<=>(?[X]:((humble(X)<~>patient(X)))))&
((~rich(fred))=>(?[X]:((creative(X)|happy(X)))))&
(((calm(mary)<~>wise(mary)))=>(?[X]:((patient(X)|happy(X)))))&
((?[X]:(kind(X)))<=>((tall(alice)|~creative(alice))))&
(![X]:((~creative(X)<~>~ge... | creative(paul) | [
"p7",
"p9",
"p10",
"p11",
"p12",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 41004140813027853251395
% SZS output start Proof for 41004140813027853251395
8. (strong(paul) <~> ~quiet(paul)) <=> ? [X0] : (generous(X0) | old(X0)) [input p7]
10. ! [X0] : ((creative(X0) & ~quiet(X0)) => rich(X0)) [input p9]
11. ! [X0] : ((~curious(X0) | ~old(X0)) => (~calm(X0) & ~tall(... | 0 |
If susan is not brave then paul is patient and vice versa. Everyone who is not generous is either not patient or calm and vice versa. If someone is not brave or calm then someone is either not tall or rich and vice versa. If lucy is not brave or happy then someone is either not brave or not tall. Everyone who is either... | Mary is not humble. | contradiction | ((~brave(susan))<=>(patient(paul)))&
(![X]:(~generous(X)<=>(~patient(X)<~>calm(X))))&
((?[X]:((~brave(X)|calm(X))))<=>(?[X]:((~tall(X)<~>rich(X)))))&
(((~brave(lucy)|happy(lucy)))=>(?[X]:((~brave(X)<~>~tall(X)))))&
(![X]:((~strong(X)<~>~creative(X))<=>curious(X)))&
(![X]:(humble(X)<=>(quiet(X)|~humble(X))))&
((?[X]:((~... | ~humble(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3517793922986860792734686
% SZS output start Proof for 3517793922986860792734686
6. ! [X0] : (humble(X0) <=> (~humble(X0) | quiet(X0))) [input p5]
24. ~humble(mary) [input hypothesis]
47. ! [X0] : ((humble(X0) | (humble(X0) & ~quiet(X0))) & ((~humble(X0) | quiet(X0)) | ~humble(X0))) [nnf ... | 0 |
Everyone who is either not brave or calm is both not calm and funny.
Everyone who is both not happy and tall is either tall or not tall.
If fred is either not creative or not funny then mary is not funny or not strong and vice versa.
Everyone who is not funny or not generous is both kind and strong.
Everyone who is bot... | Fred is quiet. | contradiction | (![X]:((~brave(X)<~>calm(X))=>(~calm(X)&funny(X))))&
(![X]:((~happy(X)&tall(X))=>(tall(X)<~>~tall(X))))&
(((~creative(fred)<~>~funny(fred)))<=>((~funny(mary)|~strong(mary))))&
(![X]:((~funny(X)|~generous(X))=>(kind(X)&strong(X))))&
(![X]:((~calm(X)&~generous(X))<=>~kind(X)))&
(((rich(susan)|~strong(susan)))=>((~curious... | quiet(fred) | [
"p0",
"p6",
"p9",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3110402333962119055241611
% SZS output start Proof for 3110402333962119055241611
1. ! [X0] : ((~brave(X0) <~> calm(X0)) => (funny(X0) & ~calm(X0))) [input p0]
7. (patient(fred) <~> ~quiet(fred)) <=> ? [X0] : (~brave(X0) | ~patient(X0)) [input p6]
10. (~creative(paul) | ~brave(paul)) => cu... | 0 |
Everyone who is not rich or strong is both not wise and patient. Everyone who is brave or humble is either wise or creative. Everyone who is both rich and creative is not rich and vice versa. If lucy is both not wise and curious then someone is both not old and not strong and vice versa. If someone is not old or brave ... | Lucy is not rich. | contradiction | (![X]:((~rich(X)|strong(X))=>(~wise(X)&patient(X))))&
(![X]:((brave(X)|humble(X))=>(wise(X)<~>creative(X))))&
(![X]:((rich(X)&creative(X))<=>~rich(X)))&
(((~wise(lucy)&curious(lucy)))<=>(?[X]:((~old(X)&~strong(X)))))&
((?[X]:((~old(X)|brave(X))))=>((happy(mary)&creative(mary))))&
(![X]:(rich(X)<=>(happy(X)<~>generous(X... | ~rich(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3909069725413176858566310
% SZS output start Proof for 3909069725413176858566310
3. ! [X0] : ((creative(X0) & rich(X0)) <=> ~rich(X0)) [input p2]
24. ~rich(lucy) [input hypothesis]
33. ! [X0] : (((creative(X0) & rich(X0)) | rich(X0)) & (~rich(X0) | (~creative(X0) | ~rich(X0)))) [nnf trans... | 0 |
Everyone who is not creative is both not funny and not tall.
Everyone who is both not creative and patient is generous or not quiet and vice versa.
If someone is brave then someone is both not calm and not brave.
Everyone who is both not rich and not humble is quiet or not generous and vice versa.
If someone is not wis... | Fred is not funny. | neutral | (![X]:(~creative(X)=>(~funny(X)&~tall(X))))&
(![X]:((~creative(X)&patient(X))<=>(generous(X)|~quiet(X))))&
((?[X]:(brave(X)))=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:((~rich(X)&~humble(X))<=>(quiet(X)|~generous(X))))&
((?[X]:(~wise(X)))<=>(?[X]:(~creative(X))))&
(![X]:((wise(X)<~>calm(X))=>(~curious(X)|rich(X))))&
(![X]... | ~funny(fred) | [] | null | 0 |
Everyone who is curious is both happy and not patient and vice versa.
Everyone who is happy or not creative is either not humble or kind.
Everyone who is generous is humble.
If someone is calm or kind then someone is not calm and vice versa.
If someone is quiet or not old then someone is quiet and vice versa.
Everyone ... | Paul is not brave. | neutral | (![X]:(curious(X)<=>(happy(X)&~patient(X))))&
(![X]:((happy(X)|~creative(X))=>(~humble(X)<~>kind(X))))&
(![X]:(generous(X)=>humble(X)))&
((?[X]:((calm(X)|kind(X))))<=>(?[X]:(~calm(X))))&
((?[X]:((quiet(X)|~old(X))))<=>(?[X]:(quiet(X))))&
(![X]:((strong(X)<~>generous(X))=>(~funny(X)|patient(X))))&
(![X]:((tall(X)<~>kind... | ~brave(paul) | [] | null | 0 |
If someone is not brave then someone is not creative or not wise and vice versa.
If alice is not quiet or not rich then someone is not creative.
If someone is both not rich and rich then paul is not patient.
Everyone who is both not curious and not patient is not generous and vice versa.
If fred is not calm then someon... | Alice is wise. | entailment | ((?[X]:(~brave(X)))<=>(?[X]:((~creative(X)|~wise(X)))))&
(((~quiet(alice)|~rich(alice)))=>(?[X]:(~creative(X))))&
((?[X]:((~rich(X)&rich(X))))=>(~patient(paul)))&
(![X]:((~curious(X)&~patient(X))<=>~generous(X)))&
((~calm(fred))=>(?[X]:((creative(X)<~>quiet(X)))))&
(![X]:((~happy(X)&wise(X))<=>(~funny(X)|~patient(X))))... | wise(alice) | [
"p3",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3476562111446257986138833
% SZS output start Proof for 3476562111446257986138833
4. ! [X0] : ((~patient(X0) & ~curious(X0)) <=> ~generous(X0)) [input p3]
6. ! [X0] : ((wise(X0) & ~happy(X0)) <=> (~patient(X0) | ~funny(X0))) [input p5]
8. ! [X0] : ((~funny(X0) <~> ~humble(X0)) => (~generou... | 0 |
Everyone who is either calm or not curious is not tall.
Everyone who is either humble or not happy is either quiet or not tall and vice versa.
If fred is not humble or humble then lucy is not curious or curious and vice versa.
If susan is tall or not creative then mary is either not wise or rich.
Everyone who is not cr... | Lucy is not curious. | contradiction | (![X]:((calm(X)<~>~curious(X))=>~tall(X)))&
(![X]:((humble(X)<~>~happy(X))<=>(quiet(X)<~>~tall(X))))&
(((~humble(fred)|humble(fred)))<=>((~curious(lucy)|curious(lucy))))&
(((tall(susan)|~creative(susan)))=>((~wise(mary)<~>rich(mary))))&
(![X]:((~creative(X)|quiet(X))=>(~happy(X)<~>~brave(X))))&
(![X]:((~tall(X)<~>~humb... | ~curious(lucy) | [
"p0",
"p5",
"p9",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3500042154609749157652155
% SZS output start Proof for 3500042154609749157652155
1. ! [X0] : ((calm(X0) <~> ~curious(X0)) => ~tall(X0)) [input p0]
6. ! [X0] : ((~tall(X0) <~> ~humble(X0)) <=> (~humble(X0) | creative(X0))) [input p5]
10. ! [X0] : ((~kind(X0) & curious(X0)) <=> patient(X0))... | 0 |
Everyone who is generous or rich is both not wise and not calm.
If someone is not happy or not generous then paul is either happy or not generous and vice versa.
Everyone who is both tall and generous is not happy or not kind and vice versa.
Everyone who is both not funny and brave is creative and vice versa.
If someon... | Fred is calm. | contradiction | (![X]:((generous(X)|rich(X))=>(~wise(X)&~calm(X))))&
((?[X]:((~happy(X)|~generous(X))))<=>((happy(paul)<~>~generous(paul))))&
(![X]:((tall(X)&generous(X))<=>(~happy(X)|~kind(X))))&
(![X]:((~funny(X)&brave(X))<=>creative(X)))&
((?[X]:((~generous(X)|strong(X))))<=>(?[X]:((quiet(X)&~humble(X)))))&
(((~happy(lucy)|humble(l... | calm(fred) | [
"p0",
"p1",
"p2",
"p8",
"p9",
"p11",
"p13",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6490827958080461449438021
% SZS output start Proof for 6490827958080461449438021
1. ! [X0] : ((rich(X0) | generous(X0)) => (~calm(X0) & ~wise(X0))) [input p0]
2. ? [X0] : (~generous(X0) | ~happy(X0)) <=> (happy(paul) <~> ~generous(paul)) [input p1]
3. ! [X0] : ((generous(X0) & tall(X0)) <... | 0 |
If someone is not brave then someone is tall and vice versa.
Everyone who is not calm is both not kind and patient and vice versa.
Everyone who is either generous or happy is patient or not happy and vice versa.
If mary is patient or not creative then lucy is wise and vice versa.
Everyone who is both brave and old is n... | Lucy is funny. | entailment | ((?[X]:(~brave(X)))<=>(?[X]:(tall(X))))&
(![X]:(~calm(X)<=>(~kind(X)&patient(X))))&
(![X]:((generous(X)<~>happy(X))<=>(patient(X)|~happy(X))))&
(((patient(mary)|~creative(mary)))<=>(wise(lucy)))&
(![X]:((brave(X)&old(X))<=>(~old(X)|funny(X))))&
(![X]:((creative(X)&~creative(X))<=>(patient(X)|strong(X))))&
(![X]:((calm(... | funny(lucy) | [
"p1",
"p4",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 905683519800843555692811
% SZS output start Proof for 905683519800843555692811
2. ! [X0] : (~calm(X0) <=> (patient(X0) & ~kind(X0))) [input p1]
5. ! [X0] : ((old(X0) & brave(X0)) <=> (funny(X0) | ~old(X0))) [input p4]
6. ! [X0] : ((~creative(X0) & creative(X0)) <=> (strong(X0) | patient(X... | 0 |
Everyone who is both creative and not funny is both not happy and not rich. Everyone who is humble is both not generous and creative. If paul is both not curious and wise then someone is curious or quiet. Everyone who is kind or old is kind or calm. Everyone who is wise or generous is strong and vice versa. If alice is... | John is not brave. | contradiction | (![X]:((creative(X)&~funny(X))=>(~happy(X)&~rich(X))))&
(![X]:(humble(X)=>(~generous(X)&creative(X))))&
(((~curious(paul)&wise(paul)))=>(?[X]:((curious(X)|quiet(X)))))&
(![X]:((kind(X)|old(X))=>(kind(X)|calm(X))))&
(![X]:((wise(X)|generous(X))<=>strong(X)))&
(((~old(alice)&~wise(alice)))=>(?[X]:(~old(X))))&
(((calm(mar... | ~brave(john) | [
"p4",
"p9",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 237294454398328479582973
% SZS output start Proof for 237294454398328479582973
5. ! [X0] : ((generous(X0) | wise(X0)) <=> strong(X0)) [input p4]
10. ? [X0] : (happy(X0) & ~brave(X0)) => ? [X0] : (~generous(X0) & generous(X0)) [input p9]
12. ! [X0] : (wise(X0) <=> (funny(X0) | ~happy(X0)))... | 0 |
Everyone who is either not brave or not funny is not rich and vice versa. Everyone who is not rich is not quiet or not tall and vice versa. Everyone who is humble is kind or rich. If someone is both humble and not quiet then mary is funny or not generous. Everyone who is either humble or quiet is not rich and vice vers... | Mary is not quiet. | contradiction | (![X]:((~brave(X)<~>~funny(X))<=>~rich(X)))&
(![X]:(~rich(X)<=>(~quiet(X)|~tall(X))))&
(![X]:(humble(X)=>(kind(X)|rich(X))))&
((?[X]:((humble(X)&~quiet(X))))=>((funny(mary)|~generous(mary))))&
(![X]:((humble(X)<~>quiet(X))<=>~rich(X)))&
((?[X]:(funny(X)))=>((~curious(mary)&curious(mary))))&
(![X]:((happy(X)|~rich(X))=>... | ~quiet(mary) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 56611932829044261028926
% SZS output start Proof for 56611932829044261028926
1. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> ~rich(X0)) [input p0]
2. ! [X0] : (~rich(X0) <=> (~tall(X0) | ~quiet(X0))) [input p1]
5. ! [X0] : ((humble(X0) <~> quiet(X0)) <=> ~rich(X0)) [input p4]
6. ? [X0] : fun... | 0 |
Everyone who is either generous or not kind is not rich or not strong and vice versa. Everyone who is either brave or not tall is either patient or not generous and vice versa. If fred is either brave or not patient then susan is not calm and vice versa. Everyone who is quiet or not curious is both quiet and rich. If m... | Paul is not generous. | neutral | (![X]:((generous(X)<~>~kind(X))<=>(~rich(X)|~strong(X))))&
(![X]:((brave(X)<~>~tall(X))<=>(patient(X)<~>~generous(X))))&
(((brave(fred)<~>~patient(fred)))<=>(~calm(susan)))&
(![X]:((quiet(X)|~curious(X))=>(quiet(X)&rich(X))))&
(((~old(mary)|~rich(mary)))=>(?[X]:(strong(X))))&
(((~rich(fred)&~funny(fred)))<=>((~funny(su... | ~generous(paul) | [] | null | 0 |
Everyone who is either not humble or not happy is both strong and not kind.
If lucy is both creative and happy then susan is funny or not humble and vice versa.
Everyone who is not tall or not kind is either not strong or not curious and vice versa.
Everyone who is both funny and not kind is both not curious and curiou... | Susan is brave. | contradiction | (![X]:((~humble(X)<~>~happy(X))=>(strong(X)&~kind(X))))&
(((creative(lucy)&happy(lucy)))<=>((funny(susan)|~humble(susan))))&
(![X]:((~tall(X)|~kind(X))<=>(~strong(X)<~>~curious(X))))&
(![X]:((funny(X)&~kind(X))=>(~curious(X)&curious(X))))&
(((kind(alice)&calm(alice)))<=>(?[X]:((patient(X)<~>~creative(X)))))&
((?[X]:((r... | brave(susan) | [
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2745358397102318936459304
% SZS output start Proof for 2745358397102318936459304
12. ! [X0] : ((strong(X0) & old(X0)) <=> brave(X0)) [input p11]
19. ~strong(susan) & rich(susan) [input p18]
24. brave(susan) [input hypothesis]
58. ! [X0] : (((strong(X0) & old(X0)) | ~brave(X0)) & (brave(X0... | 0 |
If fred is not funny then someone is not patient or not generous and vice versa.
If someone is both calm and not old then john is both not calm and not rich.
Everyone who is quiet or not wise is either wise or patient and vice versa.
If john is tall then someone is tall or not creative.
If someone is happy or wise then... | Fred is generous. | entailment | ((~funny(fred))<=>(?[X]:((~patient(X)|~generous(X)))))&
((?[X]:((calm(X)&~old(X))))=>((~calm(john)&~rich(john))))&
(![X]:((quiet(X)|~wise(X))<=>(wise(X)<~>patient(X))))&
((tall(john))=>(?[X]:((tall(X)|~creative(X)))))&
((?[X]:((happy(X)|wise(X))))<=>(~calm(fred)))&
(![X]:(~quiet(X)<=>(~tall(X)<~>~calm(X))))&
(![X]:(pat... | generous(fred) | [
"p2",
"p4",
"p5",
"p6",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 104248569884506630624314
% SZS output start Proof for 104248569884506630624314
3. ! [X0] : ((~wise(X0) | quiet(X0)) <=> (wise(X0) <~> patient(X0))) [input p2]
5. ? [X0] : (wise(X0) | happy(X0)) <=> ~calm(fred) [input p4]
6. ! [X0] : (~quiet(X0) <=> (~tall(X0) <~> ~calm(X0))) [input p5]
7.... | 0 |
Everyone who is brave is either funny or strong.
Everyone who is not quiet is both patient and not brave and vice versa.
Everyone who is not tall is not calm.
Everyone who is not humble is curious and vice versa.
If john is not strong then someone is either calm or not humble and vice versa.
Everyone who is both patien... | John is not wise. | neutral | (![X]:(brave(X)=>(funny(X)<~>strong(X))))&
(![X]:(~quiet(X)<=>(patient(X)&~brave(X))))&
(![X]:(~tall(X)=>~calm(X)))&
(![X]:(~humble(X)<=>curious(X)))&
((~strong(john))<=>(?[X]:((calm(X)<~>~humble(X)))))&
(![X]:((patient(X)&~tall(X))=>(~funny(X)&strong(X))))&
(![X]:((~patient(X)&happy(X))<=>funny(X)))&
((?[X]:((~strong(... | ~wise(john) | [] | null | 0 |
Everyone who is not funny or kind is generous and vice versa.
Everyone who is either old or quiet is both not humble and generous.
If alice is kind then someone is not wise.
Everyone who is not curious is either creative or not quiet.
Everyone who is not kind or not curious is strong and vice versa.
If alice is both st... | John is generous. | entailment | (![X]:((~funny(X)|kind(X))<=>generous(X)))&
(![X]:((old(X)<~>quiet(X))=>(~humble(X)&generous(X))))&
((kind(alice))=>(?[X]:(~wise(X))))&
(![X]:(~curious(X)=>(creative(X)<~>~quiet(X))))&
(![X]:((~kind(X)|~curious(X))<=>strong(X)))&
(((strong(alice)&~quiet(alice)))<=>(~patient(susan)))&
(((~brave(mary)|~curious(mary)))=>(... | generous(john) | [
"p0",
"p1",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7440708772175966286391963
% SZS output start Proof for 7440708772175966286391963
1. ! [X0] : ((kind(X0) | ~funny(X0)) <=> generous(X0)) [input p0]
2. ! [X0] : ((old(X0) <~> quiet(X0)) => (generous(X0) & ~humble(X0))) [input p1]
8. ! [X0] : (~funny(X0) <=> (rich(X0) | old(X0))) [input p7]
... | 0 |
If someone is not rich or curious then someone is both not brave and curious and vice versa.
Everyone who is both curious and not wise is either not wise or quiet.
If someone is either not humble or not kind then someone is either not rich or not tall.
Everyone who is funny or not rich is either quiet or not funny and ... | Fred is not happy. | neutral | ((?[X]:((~rich(X)|curious(X))))<=>(?[X]:((~brave(X)&curious(X)))))&
(![X]:((curious(X)&~wise(X))=>(~wise(X)<~>quiet(X))))&
((?[X]:((~humble(X)<~>~kind(X))))=>(?[X]:((~rich(X)<~>~tall(X)))))&
(![X]:((funny(X)|~rich(X))<=>(quiet(X)<~>~funny(X))))&
(![X]:(rich(X)<=>(generous(X)<~>happy(X))))&
(![X]:((~kind(X)&happy(X))<=>... | ~happy(fred) | [] | null | 0 |
If someone is both not wise and not brave then someone is both not tall and old.
If someone is not quiet or rich then susan is tall.
If someone is either not old or not creative then mary is either not happy or not quiet.
If susan is both not happy and funny then john is patient and vice versa.
If someone is not curiou... | John is not humble. | entailment | ((?[X]:((~wise(X)&~brave(X))))=>(?[X]:((~tall(X)&old(X)))))&
((?[X]:((~quiet(X)|rich(X))))=>(tall(susan)))&
((?[X]:((~old(X)<~>~creative(X))))=>((~happy(mary)<~>~quiet(mary))))&
(((~happy(susan)&funny(susan)))<=>(patient(john)))&
((?[X]:(~curious(X)))=>(?[X]:(~wise(X))))&
(![X]:((strong(X)<~>~calm(X))=>(rich(X)<~>~wise... | ~humble(john) | [
"p1",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7212646384306285251903302
% SZS output start Proof for 7212646384306285251903302
2. ? [X0] : (rich(X0) | ~quiet(X0)) => tall(susan) [input p1]
7. ! [X0] : ((rich(X0) | humble(X0)) <=> (~quiet(X0) & wise(X0))) [input p6]
13. ? [X0] : (~wise(X0) <~> tall(X0)) => ~wise(susan) [input p12]
14.... | 0 |
Everyone who is not kind or quiet is not strong or rich and vice versa.
If alice is either not humble or rich then someone is both wise and not tall and vice versa.
Everyone who is both curious and creative is either calm or not rich and vice versa.
If someone is not generous then someone is either tall or wise and vic... | Mary is happy. | contradiction | (![X]:((~kind(X)|quiet(X))<=>(~strong(X)|rich(X))))&
(((~humble(alice)<~>rich(alice)))<=>(?[X]:((wise(X)&~tall(X)))))&
(![X]:((curious(X)&creative(X))<=>(calm(X)<~>~rich(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((tall(X)<~>wise(X)))))&
(![X]:((~rich(X)|~wise(X))=>(~humble(X)<~>quiet(X))))&
(![X]:((generous(X)&rich(X))=>(k... | happy(mary) | [
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3074596969373145529325156
% SZS output start Proof for 3074596969373145529325156
13. ! [X0] : ((calm(X0) | happy(X0)) <=> (~funny(X0) & curious(X0))) [input p12]
17. patient(mary) & ~curious(mary) [input p16]
25. happy(mary) [input hypothesis]
53. ! [X0] : (((calm(X0) | happy(X0)) | (funn... | 0 |
If someone is both brave and happy then someone is both not brave and calm.
If someone is happy then someone is both not happy and not generous and vice versa.
Everyone who is both tall and not happy is either rich or not old.
Everyone who is both calm and not quiet is either not brave or curious.
Everyone who is creat... | John is kind. | entailment | ((?[X]:((brave(X)&happy(X))))=>(?[X]:((~brave(X)&calm(X)))))&
((?[X]:(happy(X)))<=>(?[X]:((~happy(X)&~generous(X)))))&
(![X]:((tall(X)&~happy(X))=>(rich(X)<~>~old(X))))&
(![X]:((calm(X)&~quiet(X))=>(~brave(X)<~>curious(X))))&
(![X]:((creative(X)|kind(X))<=>creative(X)))&
(![X]:((~funny(X)<~>~humble(X))<=>(~happy(X)&cur... | kind(john) | [
"p14",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 856845113708140237530590
% SZS output start Proof for 856845113708140237530590
15. ! [X0] : ((~old(X0) | ~tall(X0)) => curious(X0)) [input p14]
18. kind(john) <~> ~old(john) [input p17]
21. ~curious(john) & ~funny(john) [input p20]
24. ~kind(john) [input hypothesis]
40. ! [X0] : (curious(... | 0 |
Everyone who is quiet is not tall.
Everyone who is both patient and not quiet is both humble and not funny and vice versa.
If someone is not patient then someone is patient or wise and vice versa.
Everyone who is both old and not curious is either wise or not curious.
Everyone who is tall or not brave is rich.
Everyone... | Susan is quiet. | entailment | (![X]:(quiet(X)=>~tall(X)))&
(![X]:((patient(X)&~quiet(X))<=>(humble(X)&~funny(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((patient(X)|wise(X)))))&
(![X]:((old(X)&~curious(X))=>(wise(X)<~>~curious(X))))&
(![X]:((tall(X)|~brave(X))=>rich(X)))&
(![X]:((~patient(X)|~quiet(X))<=>(humble(X)&~happy(X))))&
(((~strong(paul)|~brave(p... | quiet(susan) | [
"p1",
"p5",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4804633263185555639740886
% SZS output start Proof for 4804633263185555639740886
2. ! [X0] : ((~quiet(X0) & patient(X0)) <=> (~funny(X0) & humble(X0))) [input p1]
6. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> (~happy(X0) & humble(X0))) [input p5]
9. ! [X0] : ((~wise(X0) <~> patient(X0)) <=... | 0 |
If mary is both not brave and not tall then alice is not calm.
Everyone who is kind is both not patient and not brave and vice versa.
Everyone who is either not calm or not strong is not happy or not humble.
Everyone who is generous is either not quiet or not calm and vice versa.
Everyone who is not generous is either ... | Paul is happy. | neutral | (((~brave(mary)&~tall(mary)))=>(~calm(alice)))&
(![X]:(kind(X)<=>(~patient(X)&~brave(X))))&
(![X]:((~calm(X)<~>~strong(X))=>(~happy(X)|~humble(X))))&
(![X]:(generous(X)<=>(~quiet(X)<~>~calm(X))))&
(![X]:(~generous(X)<=>(generous(X)<~>~generous(X))))&
(((strong(lucy)&~wise(lucy)))<=>(?[X]:((humble(X)&~quiet(X)))))&
(![X... | happy(paul) | [] | null | 0 |
Everyone who is not funny is both calm and wise. If someone is either not calm or not curious then someone is generous and vice versa. If mary is wise or funny then someone is not wise and vice versa. Everyone who is not quiet is not humble or not brave. If someone is not funny or funny then lucy is not funny. Everyone... | Mary is wise. | entailment | (![X]:(~funny(X)=>(calm(X)&wise(X))))&
((?[X]:((~calm(X)<~>~curious(X))))<=>(?[X]:(generous(X))))&
(((wise(mary)|funny(mary)))<=>(?[X]:(~wise(X))))&
(![X]:(~quiet(X)=>(~humble(X)|~brave(X))))&
((?[X]:((~funny(X)|funny(X))))=>(~funny(lucy)))&
(![X]:((~calm(X)|humble(X))<=>(~funny(X)<~>~old(X))))&
(((wise(alice)&~creativ... | wise(mary) | [
"p0",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 424502970349007230543963
% SZS output start Proof for 424502970349007230543963
1. ! [X0] : (~funny(X0) => (wise(X0) & calm(X0))) [input p0]
8. (~brave(mary) <~> happy(mary)) <=> ? [X0] : (~old(X0) & old(X0)) [input p7]
11. ! [X0] : ((~wise(X0) <~> brave(X0)) => (funny(X0) <~> ~brave(X0)))... | 0 |
If john is patient or generous then someone is both not quiet and kind.
If lucy is humble or not brave then lucy is not calm or not humble and vice versa.
Everyone who is both creative and not old is not brave or curious and vice versa.
If someone is not curious or kind then someone is both quiet and patient and vice v... | Fred is generous. | neutral | (((patient(john)|generous(john)))=>(?[X]:((~quiet(X)&kind(X)))))&
(((humble(lucy)|~brave(lucy)))<=>((~calm(lucy)|~humble(lucy))))&
(![X]:((creative(X)&~old(X))<=>(~brave(X)|curious(X))))&
((?[X]:((~curious(X)|kind(X))))<=>(?[X]:((quiet(X)&patient(X)))))&
(((~tall(paul)|generous(paul)))<=>((humble(fred)<~>~generous(fred... | generous(fred) | [] | null | 0 |
If fred is calm or not old then someone is both not brave and rich and vice versa. Everyone who is both generous and not kind is calm or patient and vice versa. If someone is either not kind or humble then alice is either not wise or calm and vice versa. Everyone who is both generous and not rich is happy or not kind a... | Susan is not old. | contradiction | (((calm(fred)|~old(fred)))<=>(?[X]:((~brave(X)&rich(X)))))&
(![X]:((generous(X)&~kind(X))<=>(calm(X)|patient(X))))&
((?[X]:((~kind(X)<~>humble(X))))<=>((~wise(alice)<~>calm(alice))))&
(![X]:((generous(X)&~rich(X))<=>(happy(X)|~kind(X))))&
(((~rich(john)<~>~tall(john)))<=>(?[X]:((~creative(X)|~patient(X)))))&
((?[X]:(~o... | ~old(susan) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 880299108604843284623643
% SZS output start Proof for 880299108604843284623643
6. ? [X0] : ~old(X0) <=> (curious(paul) & ~creative(paul)) [input p5]
12. ! [X0] : (curious(X0) <=> (~patient(X0) & creative(X0))) [input p11]
22. ~old(susan) [input hypothesis]
47. (? [X0] : ~old(X0) | (~curio... | 0 |
If mary is both calm and curious then someone is either not curious or patient. Everyone who is both tall and humble is both brave and not humble and vice versa. Everyone who is either old or creative is both not quiet and not old and vice versa. If someone is strong then fred is both not curious and not funny and vice... | Paul is tall. | contradiction | (((calm(mary)&curious(mary)))=>(?[X]:((~curious(X)<~>patient(X)))))&
(![X]:((tall(X)&humble(X))<=>(brave(X)&~humble(X))))&
(![X]:((old(X)<~>creative(X))<=>(~quiet(X)&~old(X))))&
((?[X]:(strong(X)))<=>((~curious(fred)&~funny(fred))))&
(![X]:(generous(X)=>(patient(X)&~creative(X))))&
(((~tall(lucy)<~>~generous(lucy)))=>(... | tall(paul) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 71455420805097244672090
% SZS output start Proof for 71455420805097244672090
2. ! [X0] : ((humble(X0) & tall(X0)) <=> (~humble(X0) & brave(X0))) [input p1]
12. ! [X0] : ((tall(X0) <~> humble(X0)) <=> ~tall(X0)) [input p11]
25. tall(paul) [input hypothesis]
42. ! [X0] : (((humble(X0) & tal... | 0 |
Everyone who is either tall or not creative is either not funny or strong.
If paul is not humble or tall then someone is quiet.
Everyone who is not brave or not calm is both not tall and calm and vice versa.
Everyone who is both not tall and not brave is both not curious and not creative and vice versa.
If susan is eit... | Alice is not calm. | contradiction | (![X]:((tall(X)<~>~creative(X))=>(~funny(X)<~>strong(X))))&
(((~humble(paul)|tall(paul)))=>(?[X]:(quiet(X))))&
(![X]:((~brave(X)|~calm(X))<=>(~tall(X)&calm(X))))&
(![X]:((~tall(X)&~brave(X))<=>(~curious(X)&~creative(X))))&
(((rich(susan)<~>~patient(susan)))=>(?[X]:((~funny(X)<~>quiet(X)))))&
((?[X]:((~creative(X)&calm(... | ~calm(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6283975738861675615711173
% SZS output start Proof for 6283975738861675615711173
3. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> (calm(X0) & ~tall(X0))) [input p2]
24. ~calm(alice) [input hypothesis]
40. ! [X0] : (((~calm(X0) | ~brave(X0)) | (~calm(X0) | tall(X0))) & ((calm(X0) & ~tall(X0)) | (... | 0 |
If fred is calm then fred is both kind and not strong and vice versa. Everyone who is brave or tall is not humble or not strong. Everyone who is both not quiet and not humble is kind. Everyone who is not patient or not calm is either funny or not humble. If someone is both generous and wise then paul is old or not kind... | Paul is rich. | entailment | ((calm(fred))<=>((kind(fred)&~strong(fred))))&
(![X]:((brave(X)|tall(X))=>(~humble(X)|~strong(X))))&
(![X]:((~quiet(X)&~humble(X))=>kind(X)))&
(![X]:((~patient(X)|~calm(X))=>(funny(X)<~>~humble(X))))&
((?[X]:((generous(X)&wise(X))))=>((old(paul)|~kind(paul))))&
(![X]:((curious(X)&~rich(X))<=>~curious(X)))&
(![X]:(~wise... | rich(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2542108997347638023317643
% SZS output start Proof for 2542108997347638023317643
6. ! [X0] : ((~rich(X0) & curious(X0)) <=> ~curious(X0)) [input p5]
25. ~rich(paul) [input hypothesis]
47. ! [X0] : (((~rich(X0) & curious(X0)) | curious(X0)) & (~curious(X0) | (rich(X0) | ~curious(X0)))) [nn... | 0 |
If paul is both brave and not tall then someone is both creative and not creative and vice versa.
Everyone who is quiet or calm is either not humble or calm and vice versa.
If someone is curious or not strong then paul is not quiet.
If someone is both creative and not wise then someone is old or not kind and vice versa... | John is not quiet. | contradiction | (((brave(paul)&~tall(paul)))<=>(?[X]:((creative(X)&~creative(X)))))&
(![X]:((quiet(X)|calm(X))<=>(~humble(X)<~>calm(X))))&
((?[X]:((curious(X)|~strong(X))))=>(~quiet(paul)))&
((?[X]:((creative(X)&~wise(X))))<=>(?[X]:((old(X)|~kind(X)))))&
((?[X]:(creative(X)))=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:((~brave(X)<~>~... | ~quiet(john) | [
"p1",
"p3",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 293039590520247493361858
% SZS output start Proof for 293039590520247493361858
2. ! [X0] : ((calm(X0) | quiet(X0)) <=> (~humble(X0) <~> calm(X0))) [input p1]
4. ? [X0] : (~wise(X0) & creative(X0)) <=> ? [X0] : (~kind(X0) | old(X0)) [input p3]
7. ! [X0] : ((~brave(X0) | ~old(X0)) => ~humbl... | 0 |
Everyone who is not tall or humble is either kind or not rich.
Everyone who is either not calm or not patient is generous.
Everyone who is either not strong or old is either not calm or rich.
Everyone who is both not quiet and not patient is either not strong or not patient and vice versa.
If lucy is not wise then alic... | Paul is quiet. | contradiction | (![X]:((~tall(X)|humble(X))=>(kind(X)<~>~rich(X))))&
(![X]:((~calm(X)<~>~patient(X))=>generous(X)))&
(![X]:((~strong(X)<~>old(X))=>(~calm(X)<~>rich(X))))&
(![X]:((~quiet(X)&~patient(X))<=>(~strong(X)<~>~patient(X))))&
((~wise(lucy))<=>((quiet(alice)&funny(alice))))&
(![X]:((tall(X)&generous(X))=>quiet(X)))&
((strong(ma... | quiet(paul) | [
"p3",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4197234750144914668666073
% SZS output start Proof for 4197234750144914668666073
4. ! [X0] : ((~patient(X0) & ~quiet(X0)) <=> (~strong(X0) <~> ~patient(X0))) [input p3]
9. ! [X0] : ((~strong(X0) | happy(X0)) => brave(X0)) [input p8]
18. ~brave(paul) & ~patient(paul) [input p17]
24. quiet(... | 0 |
Everyone who is both not brave and quiet is both kind and not humble and vice versa.
Everyone who is not patient is old and vice versa.
Everyone who is not old or old is not generous or not strong.
Everyone who is both kind and curious is either not happy or brave and vice versa.
If someone is calm or not brave then pa... | Mary is not funny. | contradiction | (![X]:((~brave(X)&quiet(X))<=>(kind(X)&~humble(X))))&
(![X]:(~patient(X)<=>old(X)))&
(![X]:((~old(X)|old(X))=>(~generous(X)|~strong(X))))&
(![X]:((kind(X)&curious(X))<=>(~happy(X)<~>brave(X))))&
((?[X]:((calm(X)|~brave(X))))=>((~kind(paul)&calm(paul))))&
((?[X]:((~tall(X)|~quiet(X))))=>(?[X]:((wise(X)|funny(X)))))&
((?... | ~funny(mary) | [
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9213474549379921825483752
% SZS output start Proof for 9213474549379921825483752
11. ! [X0] : ((funny(X0) | humble(X0)) <=> (~curious(X0) | ~humble(X0))) [input p10]
19. ~patient(mary) & curious(mary) [input p18]
23. ~funny(mary) [input hypothesis]
60. ! [X0] : (((funny(X0) | humble(X0)) ... | 0 |
If someone is not brave or not rich then susan is generous and vice versa.
Everyone who is generous is funny.
Everyone who is wise is both not kind and brave.
Everyone who is both wise and funny is both strong and wise and vice versa.
Everyone who is not rich is either not curious or quiet.
If someone is calm then alic... | Alice is not curious. | neutral | ((?[X]:((~brave(X)|~rich(X))))<=>(generous(susan)))&
(![X]:(generous(X)=>funny(X)))&
(![X]:(wise(X)=>(~kind(X)&brave(X))))&
(![X]:((wise(X)&funny(X))<=>(strong(X)&wise(X))))&
(![X]:(~rich(X)=>(~curious(X)<~>quiet(X))))&
((?[X]:(calm(X)))=>((~calm(alice)&~quiet(alice))))&
(![X]:(~happy(X)<=>~rich(X)))&
(((strong(mary)<~... | ~curious(alice) | [] | null | 0 |
If lucy is either brave or not creative then lucy is both not wise and tall.
If someone is both old and not tall then fred is not strong and vice versa.
Everyone who is either not brave or not humble is both not strong and not calm and vice versa.
Everyone who is not quiet is either strong or old.
Everyone who is eithe... | Fred is not generous. | entailment | (((brave(lucy)<~>~creative(lucy)))=>((~wise(lucy)&tall(lucy))))&
((?[X]:((old(X)&~tall(X))))<=>(~strong(fred)))&
(![X]:((~brave(X)<~>~humble(X))<=>(~strong(X)&~calm(X))))&
(![X]:(~quiet(X)=>(strong(X)<~>old(X))))&
(![X]:((old(X)<~>~humble(X))=>(~creative(X)|~tall(X))))&
(![X]:(~brave(X)<=>(creative(X)<~>~strong(X))))&
... | ~generous(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2382366112230825950472516
% SZS output start Proof for 2382366112230825950472516
7. ! [X0] : (generous(X0) => (funny(X0) & ~funny(X0))) [input p6]
25. generous(fred) [input hypothesis]
32. ! [X0] : ((funny(X0) & ~funny(X0)) | ~generous(X0)) [ennf transformation 7]
94. ~funny(X0) | ~genero... | 0 |
If someone is rich or not happy then someone is either rich or not patient and vice versa. Everyone who is both not strong and funny is not patient or brave and vice versa. If someone is both not tall and not quiet then someone is either generous or not strong and vice versa. If someone is either happy or funny then so... | Lucy is not rich. | contradiction | ((?[X]:((rich(X)|~happy(X))))<=>(?[X]:((rich(X)<~>~patient(X)))))&
(![X]:((~strong(X)&funny(X))<=>(~patient(X)|brave(X))))&
((?[X]:((~tall(X)&~quiet(X))))<=>(?[X]:((generous(X)<~>~strong(X)))))&
((?[X]:((happy(X)<~>funny(X))))=>(?[X]:((~rich(X)<~>patient(X)))))&
(![X]:((~rich(X)|happy(X))=>creative(X)))&
(![X]:((~kind(... | ~rich(lucy) | [
"p1",
"p2",
"p8",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1660139117532722046656365
% SZS output start Proof for 1660139117532722046656365
2. ! [X0] : ((funny(X0) & ~strong(X0)) <=> (brave(X0) | ~patient(X0))) [input p1]
3. ? [X0] : (~quiet(X0) & ~tall(X0)) <=> ? [X0] : (generous(X0) <~> ~strong(X0)) [input p2]
9. (tall(alice) & calm(alice)) <=>... | 0 |
Everyone who is both brave and creative is either not humble or not old and vice versa.
If someone is either tall or not strong then lucy is not creative and vice versa.
Everyone who is happy or patient is not humble.
If fred is either curious or calm then someone is both strong and creative and vice versa.
Everyone wh... | Lucy is kind. | contradiction | (![X]:((brave(X)&creative(X))<=>(~humble(X)<~>~old(X))))&
((?[X]:((tall(X)<~>~strong(X))))<=>(~creative(lucy)))&
(![X]:((happy(X)|patient(X))=>~humble(X)))&
(((curious(fred)<~>calm(fred)))<=>(?[X]:((strong(X)&creative(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(tall(X)|patient(X))))&
(![X]:((~old(X)|brave(X))<=>happy(X)))&
... | kind(lucy) | [
"p0",
"p2",
"p5",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6501475475519062458819035
% SZS output start Proof for 6501475475519062458819035
1. ! [X0] : ((creative(X0) & brave(X0)) <=> (~humble(X0) <~> ~old(X0))) [input p0]
3. ! [X0] : ((patient(X0) | happy(X0)) => ~humble(X0)) [input p2]
6. ! [X0] : ((brave(X0) | ~old(X0)) <=> happy(X0)) [input p... | 0 |
Everyone who is rich or old is either tall or not strong and vice versa.
Everyone who is not strong or not curious is quiet or not tall.
If someone is funny then mary is not generous and vice versa.
If john is kind then someone is both not quiet and generous and vice versa.
If paul is both tall and quiet then lucy is g... | Lucy is not tall. | entailment | (![X]:((rich(X)|old(X))<=>(tall(X)<~>~strong(X))))&
(![X]:((~strong(X)|~curious(X))=>(quiet(X)|~tall(X))))&
((?[X]:(funny(X)))<=>(~generous(mary)))&
((kind(john))<=>(?[X]:((~quiet(X)&generous(X)))))&
(((tall(paul)&quiet(paul)))<=>(generous(lucy)))&
((?[X]:((~humble(X)<~>brave(X))))=>(?[X]:((~curious(X)&curious(X)))))&
... | ~tall(lucy) | [
"p2",
"p5",
"p6",
"p7",
"p10",
"p15",
"p18",
"p19",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2451738040048009582815956
% SZS output start Proof for 2451738040048009582815956
3. ? [X0] : funny(X0) <=> ~generous(mary) [input p2]
6. ? [X0] : (~humble(X0) <~> brave(X0)) => ? [X0] : (curious(X0) & ~curious(X0)) [input p5]
7. ! [X0] : ((generous(X0) <~> curious(X0)) => (~kind(X0) <~> o... | 0 |
If someone is not kind then someone is not quiet or humble and vice versa.
Everyone who is both not happy and rich is both curious and strong and vice versa.
Everyone who is either not rich or not old is not funny.
If john is not wise then alice is not patient or not tall.
Everyone who is happy or not rich is humble or... | Fred is happy. | contradiction | ((?[X]:(~kind(X)))<=>(?[X]:((~quiet(X)|humble(X)))))&
(![X]:((~happy(X)&rich(X))<=>(curious(X)&strong(X))))&
(![X]:((~rich(X)<~>~old(X))=>~funny(X)))&
((~wise(john))=>((~patient(alice)|~tall(alice))))&
(![X]:((happy(X)|~rich(X))<=>(humble(X)|rich(X))))&
(![X]:((~funny(X)|old(X))<=>(funny(X)|creative(X))))&
(![X]:((~str... | happy(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 214307699150301051535534
% SZS output start Proof for 214307699150301051535534
22. ~happy(fred) [input p21]
24. happy(fred) [input hypothesis]
135. ~happy(fred) [cnf transformation 22]
137. happy(fred) [cnf transformation 24]
310. $false [subsumption resolution 137,135]
% SZS output end P... | 0 |
Everyone who is not quiet is both not brave and not calm.
If mary is not kind or rich then susan is either happy or wise and vice versa.
If someone is either humble or rich then susan is both not wise and not rich and vice versa.
Everyone who is wise is wise or not patient and vice versa.
If alice is calm then someone ... | Fred is not patient. | entailment | (![X]:(~quiet(X)=>(~brave(X)&~calm(X))))&
(((~kind(mary)|rich(mary)))<=>((happy(susan)<~>wise(susan))))&
((?[X]:((humble(X)<~>rich(X))))<=>((~wise(susan)&~rich(susan))))&
(![X]:(wise(X)<=>(wise(X)|~patient(X))))&
((calm(alice))=>(?[X]:(quiet(X))))&
(((~calm(lucy)&~brave(lucy)))=>((funny(alice)|tall(alice))))&
(![X]:(ca... | ~patient(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6459053661907049386926713
% SZS output start Proof for 6459053661907049386926713
22. ~patient(fred) & ~humble(fred) [input p21]
25. patient(fred) [input hypothesis]
123. ~patient(fred) [cnf transformation 22]
126. patient(fred) [cnf transformation 25]
306. $false [subsumption resolution 1... | 0 |
If someone is both not happy and curious then someone is either not humble or not quiet and vice versa. If fred is patient or not rich then alice is not wise. If fred is not brave or not old then someone is both kind and not strong. If susan is either kind or funny then susan is not patient. Everyone who is both not cu... | Fred is rich. | neutral | ((?[X]:((~happy(X)&curious(X))))<=>(?[X]:((~humble(X)<~>~quiet(X)))))&
(((patient(fred)|~rich(fred)))=>(~wise(alice)))&
(((~brave(fred)|~old(fred)))=>(?[X]:((kind(X)&~strong(X)))))&
(((kind(susan)<~>funny(susan)))=>(~patient(susan)))&
(![X]:((~curious(X)&~tall(X))<=>(~kind(X)<~>~quiet(X))))&
((?[X]:((~humble(X)|calm(X)... | rich(fred) | [] | null | 0 |
Everyone who is either old or tall is both not funny and quiet. Everyone who is strong or not calm is either strong or not old and vice versa. Everyone who is both calm and brave is wise or generous and vice versa. If fred is both tall and not calm then someone is both wise and kind. Everyone who is both creative and n... | Alice is not wise. | entailment | (![X]:((old(X)<~>tall(X))=>(~funny(X)&quiet(X))))&
(![X]:((strong(X)|~calm(X))<=>(strong(X)<~>~old(X))))&
(![X]:((calm(X)&brave(X))<=>(wise(X)|generous(X))))&
(((tall(fred)&~calm(fred)))=>(?[X]:((wise(X)&kind(X)))))&
(![X]:((creative(X)&~kind(X))<=>(wise(X)&brave(X))))&
(![X]:((~tall(X)<~>funny(X))=>rich(X)))&
(((gener... | ~wise(alice) | [
"p1",
"p2",
"p5",
"p6",
"p7",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6884864062177799811529111
% SZS output start Proof for 6884864062177799811529111
2. ! [X0] : ((~calm(X0) | strong(X0)) <=> (strong(X0) <~> ~old(X0))) [input p1]
3. ! [X0] : ((brave(X0) & calm(X0)) <=> (generous(X0) | wise(X0))) [input p2]
6. ! [X0] : ((~tall(X0) <~> funny(X0)) => rich(X0)... | 0 |
Everyone who is either humble or not humble is both creative and patient.
Everyone who is calm or rich is both not calm and creative.
If lucy is not funny then someone is old.
If someone is rich then john is not creative or happy and vice versa.
Everyone who is either calm or not rich is not old or funny and vice versa... | Alice is not brave. | entailment | (![X]:((humble(X)<~>~humble(X))=>(creative(X)&patient(X))))&
(![X]:((calm(X)|rich(X))=>(~calm(X)&creative(X))))&
((~funny(lucy))=>(?[X]:(old(X))))&
((?[X]:(rich(X)))<=>((~creative(john)|happy(john))))&
(![X]:((calm(X)<~>~rich(X))<=>(~old(X)|funny(X))))&
(![X]:((~brave(X)<~>~funny(X))=>(kind(X)<~>~calm(X))))&
(![X]:((~t... | ~brave(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6797740355596785512302082
% SZS output start Proof for 6797740355596785512302082
13. ! [X0] : ((~brave(X0) & ~creative(X0)) <=> brave(X0)) [input p12]
23. brave(alice) [input hypothesis]
53. ! [X0] : (((~brave(X0) & ~creative(X0)) | ~brave(X0)) & (brave(X0) | (brave(X0) | creative(X0)))) ... | 0 |
If mary is either not curious or old then someone is both not kind and not funny and vice versa.
If fred is either not humble or humble then someone is either not rich or not tall and vice versa.
If someone is both patient and not tall then mary is generous.
Everyone who is not curious or creative is not curious and vi... | Susan is not tall. | neutral | (((~curious(mary)<~>old(mary)))<=>(?[X]:((~kind(X)&~funny(X)))))&
(((~humble(fred)<~>humble(fred)))<=>(?[X]:((~rich(X)<~>~tall(X)))))&
((?[X]:((patient(X)&~tall(X))))=>(generous(mary)))&
(![X]:((~curious(X)|creative(X))<=>~curious(X)))&
((?[X]:((curious(X)<~>~funny(X))))=>((curious(paul)|~wise(paul))))&
((?[X]:((~wise(... | ~tall(susan) | [] | null | 0 |
If someone is not happy or rich then paul is either funny or not brave.
Everyone who is both humble and wise is either tall or humble.
If mary is creative or rich then john is old or not wise.
If paul is either not quiet or not patient then someone is both tall and humble.
Everyone who is both wise and not tall is not ... | Paul is funny. | entailment | ((?[X]:((~happy(X)|rich(X))))=>((funny(paul)<~>~brave(paul))))&
(![X]:((humble(X)&wise(X))=>(tall(X)<~>humble(X))))&
(((creative(mary)|rich(mary)))=>((old(john)|~wise(john))))&
(((~quiet(paul)<~>~patient(paul)))=>(?[X]:((tall(X)&humble(X)))))&
(![X]:((wise(X)&~tall(X))<=>~happy(X)))&
(![X]:((old(X)&kind(X))=>~wise(X)))... | funny(paul) | [
"p0",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1572331730835075824815483
% SZS output start Proof for 1572331730835075824815483
1. ? [X0] : (rich(X0) | ~happy(X0)) => (funny(paul) <~> ~brave(paul)) [input p0]
14. ! [X0] : ((~curious(X0) <~> curious(X0)) => brave(X0)) [input p13]
22. ? [X0] : (~happy(X0) & ~curious(X0)) [input p21]
25.... | 0 |
Everyone who is not happy is calm or rich.
Everyone who is both patient and humble is not humble or not happy.
Everyone who is either not strong or not brave is not brave or funny.
Everyone who is wise is both not wise and not humble and vice versa.
If someone is not strong or old then alice is strong.
Everyone who is ... | Paul is humble. | entailment | (![X]:(~happy(X)=>(calm(X)|rich(X))))&
(![X]:((patient(X)&humble(X))=>(~humble(X)|~happy(X))))&
(![X]:((~strong(X)<~>~brave(X))=>(~brave(X)|funny(X))))&
(![X]:(wise(X)<=>(~wise(X)&~humble(X))))&
((?[X]:((~strong(X)|old(X))))=>(strong(alice)))&
(![X]:((~brave(X)&kind(X))=>~calm(X)))&
(![X]:((~funny(X)&~patient(X))<=>(~h... | humble(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5947072162417850307219074
% SZS output start Proof for 5947072162417850307219074
4. ! [X0] : (wise(X0) <=> (~humble(X0) & ~wise(X0))) [input p3]
23. ~humble(paul) [input hypothesis]
42. ! [X0] : ((wise(X0) | (humble(X0) | wise(X0))) & ((~humble(X0) & ~wise(X0)) | ~wise(X0))) [nnf transfor... | 0 |
Everyone who is either not curious or generous is not humble or funny and vice versa.
Everyone who is generous is curious.
If someone is happy or not brave then someone is either not quiet or curious.
If someone is not humble or not wise then mary is both funny and not curious and vice versa.
Everyone who is either not... | Fred is not curious. | entailment | (![X]:((~curious(X)<~>generous(X))<=>(~humble(X)|funny(X))))&
(![X]:(generous(X)=>curious(X)))&
((?[X]:((happy(X)|~brave(X))))=>(?[X]:((~quiet(X)<~>curious(X)))))&
((?[X]:((~humble(X)|~wise(X))))<=>((funny(mary)&~curious(mary))))&
(![X]:((~rich(X)<~>funny(X))=>(happy(X)&~brave(X))))&
(![X]:(~kind(X)<=>(~humble(X)|~quie... | ~curious(fred) | [
"p0",
"p4",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7420733733770438620290418
% SZS output start Proof for 7420733733770438620290418
1. ! [X0] : ((~curious(X0) <~> generous(X0)) <=> (funny(X0) | ~humble(X0))) [input p0]
5. ! [X0] : ((~rich(X0) <~> funny(X0)) => (~brave(X0) & happy(X0))) [input p4]
8. ! [X0] : ((~happy(X0) & ~kind(X0)) <=> ... | 0 |
Everyone who is wise is kind.
If someone is quiet then alice is both creative and not old and vice versa.
Everyone who is either brave or not patient is old or wise.
Everyone who is patient is not strong or not brave and vice versa.
Everyone who is both wise and happy is not old or kind and vice versa.
Everyone who is ... | Alice is funny. | entailment | (![X]:(wise(X)=>kind(X)))&
((?[X]:(quiet(X)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:((wise(X)&happy(X))<=>(~old(X)|kind(X))))&
(![X]:((~old(X)<~>~curious(X))<=>(~wise(X)|~funny(X))))&
((?[X]:((~strong(X)<~>~funny(X)))... | funny(alice) | [
"p0",
"p1",
"p4",
"p9",
"p11",
"p12",
"p14",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7374529675453250427270297
% SZS output start Proof for 7374529675453250427270297
1. ! [X0] : (wise(X0) => kind(X0)) [input p0]
2. ? [X0] : quiet(X0) <=> (~old(alice) & creative(alice)) [input p1]
5. ! [X0] : ((happy(X0) & wise(X0)) <=> (kind(X0) | ~old(X0))) [input p4]
10. ! [X0] : ((~hap... | 0 |
If lucy is kind then someone is not creative. Everyone who is not generous or not strong is happy or not wise. Everyone who is not strong is creative. Everyone who is either strong or quiet is either not calm or happy. If someone is both curious and not generous then alice is tall or curious. Everyone who is happy or n... | Lucy is kind. | entailment | ((kind(lucy))=>(?[X]:(~creative(X))))&
(![X]:((~generous(X)|~strong(X))=>(happy(X)|~wise(X))))&
(![X]:(~strong(X)=>creative(X)))&
(![X]:((strong(X)<~>quiet(X))=>(~calm(X)<~>happy(X))))&
((?[X]:((curious(X)&~generous(X))))=>((tall(alice)|curious(alice))))&
(![X]:((happy(X)|~generous(X))<=>(kind(X)&generous(X))))&
((?[X]... | kind(lucy) | [
"p5",
"p7",
"p8",
"p9",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5584124057442165516902168
% SZS output start Proof for 5584124057442165516902168
6. ! [X0] : ((~generous(X0) | happy(X0)) <=> (generous(X0) & kind(X0))) [input p5]
8. ! [X0] : ((kind(X0) & quiet(X0)) <=> (~wise(X0) <~> kind(X0))) [input p7]
9. ! [X0] : ((~funny(X0) | tall(X0)) => (curious... | 0 |
If lucy is either not happy or not strong then fred is either not funny or tall and vice versa.
Everyone who is tall or not quiet is both not calm and not funny and vice versa.
If john is curious or not wise then mary is either calm or happy.
Everyone who is either curious or creative is not funny or curious and vice v... | Alice is not humble. | neutral | (((~happy(lucy)<~>~strong(lucy)))<=>((~funny(fred)<~>tall(fred))))&
(![X]:((tall(X)|~quiet(X))<=>(~calm(X)&~funny(X))))&
(((curious(john)|~wise(john)))=>((calm(mary)<~>happy(mary))))&
(![X]:((curious(X)<~>creative(X))<=>(~funny(X)|curious(X))))&
(((~creative(alice)|~humble(alice)))<=>(?[X]:((happy(X)&~old(X)))))&
((?[X... | ~humble(alice) | [] | null | 0 |
Everyone who is strong or not patient is generous and vice versa.
Everyone who is both patient and happy is old.
If someone is not wise or not calm then someone is both brave and strong and vice versa.
Everyone who is not patient is both rich and not calm and vice versa.
Everyone who is humble or not creative is wise o... | Fred is not kind. | neutral | (![X]:((strong(X)|~patient(X))<=>generous(X)))&
(![X]:((patient(X)&happy(X))=>old(X)))&
((?[X]:((~wise(X)|~calm(X))))<=>(?[X]:((brave(X)&strong(X)))))&
(![X]:(~patient(X)<=>(rich(X)&~calm(X))))&
(![X]:((humble(X)|~creative(X))<=>(wise(X)|~tall(X))))&
((?[X]:((~creative(X)<~>~strong(X))))<=>((curious(mary)<~>~tall(mary)... | ~kind(fred) | [] | null | 0 |
Everyone who is either not happy or brave is not happy or quiet and vice versa. Everyone who is not strong or brave is both not quiet and not happy and vice versa. Everyone who is either not wise or calm is both generous and tall and vice versa. Everyone who is not curious is not wise or not humble. If someone is eithe... | Paul is patient. | contradiction | (![X]:((~happy(X)<~>brave(X))<=>(~happy(X)|quiet(X))))&
(![X]:((~strong(X)|brave(X))<=>(~quiet(X)&~happy(X))))&
(![X]:((~wise(X)<~>calm(X))<=>(generous(X)&tall(X))))&
(![X]:(~curious(X)=>(~wise(X)|~humble(X))))&
((?[X]:((~generous(X)<~>funny(X))))=>(?[X]:(~funny(X))))&
((?[X]:(strong(X)))<=>((brave(alice)&strong(alice)... | patient(paul) | [
"p0",
"p1",
"p5",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 99774620010890218979529
% SZS output start Proof for 99774620010890218979529
1. ! [X0] : ((~happy(X0) <~> brave(X0)) <=> (quiet(X0) | ~happy(X0))) [input p0]
2. ! [X0] : ((brave(X0) | ~strong(X0)) <=> (~happy(X0) & ~quiet(X0))) [input p1]
6. ? [X0] : strong(X0) <=> (strong(alice) & brave(... | 0 |
Everyone who is humble is both brave and not creative and vice versa.
If susan is not wise or generous then paul is both patient and not calm and vice versa.
Everyone who is either not wise or humble is both rich and not humble and vice versa.
If someone is both generous and rich then fred is not tall or strong.
If fre... | Susan is rich. | entailment | (![X]:(humble(X)<=>(brave(X)&~creative(X))))&
(((~wise(susan)|generous(susan)))<=>((patient(paul)&~calm(paul))))&
(![X]:((~wise(X)<~>humble(X))<=>(rich(X)&~humble(X))))&
((?[X]:((generous(X)&rich(X))))=>((~tall(fred)|strong(fred))))&
(((brave(fred)&~kind(fred)))=>(?[X]:((~kind(X)|wise(X)))))&
((~happy(fred))<=>((creati... | rich(susan) | [
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 792223015652493518276981
% SZS output start Proof for 792223015652493518276981
8. ! [X0] : ((brave(X0) & old(X0)) <=> (~rich(X0) | generous(X0))) [input p7]
23. ~brave(susan) [input p22]
25. ~rich(susan) [input hypothesis]
47. ! [X0] : (((brave(X0) & old(X0)) | (rich(X0) & ~generous(X0)))... | 0 |
Everyone who is not quiet is either not rich or rich.
Everyone who is both wise and kind is patient or not kind.
If fred is not old then fred is both not funny and happy and vice versa.
Everyone who is not happy is either brave or not strong.
If mary is calm then mary is humble.
If someone is not quiet or not generous ... | Mary is not creative. | neutral | (![X]:(~quiet(X)=>(~rich(X)<~>rich(X))))&
(![X]:((wise(X)&kind(X))=>(patient(X)|~kind(X))))&
((~old(fred))<=>((~funny(fred)&happy(fred))))&
(![X]:(~happy(X)=>(brave(X)<~>~strong(X))))&
((calm(mary))=>(humble(mary)))&
((?[X]:((~quiet(X)|~generous(X))))=>(?[X]:((generous(X)|~rich(X)))))&
(![X]:((humble(X)<~>wise(X))<=>ta... | ~creative(mary) | [] | null | 0 |
Everyone who is quiet is patient or not old and vice versa. Everyone who is either not humble or funny is humble or creative. Everyone who is patient or brave is both creative and wise. If someone is strong or not kind then mary is both not calm and humble and vice versa. Everyone who is not wise or not kind is either ... | Paul is calm. | entailment | (![X]:(quiet(X)<=>(patient(X)|~old(X))))&
(![X]:((~humble(X)<~>funny(X))=>(humble(X)|creative(X))))&
(![X]:((patient(X)|brave(X))=>(creative(X)&wise(X))))&
((?[X]:((strong(X)|~kind(X))))<=>((~calm(mary)&humble(mary))))&
(![X]:((~wise(X)|~kind(X))=>(brave(X)<~>funny(X))))&
(((tall(susan)|quiet(susan)))=>((old(fred)&~hap... | calm(paul) | [
"p3",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8232938871184184395774345
% SZS output start Proof for 8232938871184184395774345
4. ? [X0] : (~kind(X0) | strong(X0)) <=> (humble(mary) & ~calm(mary)) [input p3]
13. ! [X0] : (~calm(X0) <=> (quiet(X0) & ~creative(X0))) [input p12]
14. ! [X0] : (~strong(X0) <=> ~quiet(X0)) [input p13]
17. ... | 0 |
If someone is not happy then someone is tall. Everyone who is both kind and not generous is either not brave or not generous and vice versa. Everyone who is generous is not brave and vice versa. If lucy is generous then john is creative. If fred is generous then someone is both creative and not strong. Everyone who is ... | John is creative. | neutral | ((?[X]:(~happy(X)))=>(?[X]:(tall(X))))&
(![X]:((kind(X)&~generous(X))<=>(~brave(X)<~>~generous(X))))&
(![X]:(generous(X)<=>~brave(X)))&
((generous(lucy))=>(creative(john)))&
((generous(fred))=>(?[X]:((creative(X)&~strong(X)))))&
(![X]:((~happy(X)&tall(X))=>(brave(X)&strong(X))))&
((?[X]:((~humble(X)|~old(X))))<=>((~qui... | creative(john) | [] | null | 0 |
Everyone who is funny is not kind.
Everyone who is rich is either wise or not calm and vice versa.
If lucy is humble then lucy is both happy and not wise.
Everyone who is both not patient and not kind is not calm and vice versa.
If someone is curious or wise then someone is strong and vice versa.
Everyone who is either... | Mary is not strong. | neutral | (![X]:(funny(X)=>~kind(X)))&
(![X]:(rich(X)<=>(wise(X)<~>~calm(X))))&
((humble(lucy))=>((happy(lucy)&~wise(lucy))))&
(![X]:((~patient(X)&~kind(X))<=>~calm(X)))&
((?[X]:((curious(X)|wise(X))))<=>(?[X]:(strong(X))))&
(![X]:((tall(X)<~>~wise(X))<=>(~old(X)|old(X))))&
(![X]:((patient(X)&funny(X))<=>brave(X)))&
(((strong(al... | ~strong(mary) | [] | null | 0 |
Everyone who is either not curious or not calm is either happy or not funny and vice versa.
Everyone who is both not strong and not brave is either creative or not curious.
Everyone who is both not humble and patient is both creative and funny and vice versa.
Everyone who is rich or happy is not wise and vice versa.
Ev... | Mary is funny. | neutral | (![X]:((~curious(X)<~>~calm(X))<=>(happy(X)<~>~funny(X))))&
(![X]:((~strong(X)&~brave(X))=>(creative(X)<~>~curious(X))))&
(![X]:((~humble(X)&patient(X))<=>(creative(X)&funny(X))))&
(![X]:((rich(X)|happy(X))<=>~wise(X)))&
(![X]:((~funny(X)|old(X))<=>(~wise(X)&strong(X))))&
(![X]:((humble(X)|~humble(X))<=>creative(X)))&
... | funny(mary) | [] | null | 0 |
Everyone who is both not patient and happy is either not patient or old and vice versa.
Everyone who is both not patient and not happy is not generous and vice versa.
If mary is not tall then paul is not quiet and vice versa.
Everyone who is old or generous is not happy.
If someone is both kind and tall then mary is no... | Lucy is old. | entailment | (![X]:((~patient(X)&happy(X))<=>(~patient(X)<~>old(X))))&
(![X]:((~patient(X)&~happy(X))<=>~generous(X)))&
((~tall(mary))<=>(~quiet(paul)))&
(![X]:((old(X)|generous(X))=>~happy(X)))&
((?[X]:((kind(X)&tall(X))))<=>((~quiet(mary)|~generous(mary))))&
(![X]:((generous(X)<~>brave(X))=>tall(X)))&
(![X]:((kind(X)|~funny(X))=>... | old(lucy) | [
"p1",
"p3",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9009675648392484956898025
% SZS output start Proof for 9009675648392484956898025
2. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> ~generous(X0)) [input p1]
4. ! [X0] : ((generous(X0) | old(X0)) => ~happy(X0)) [input p3]
14. ! [X0] : ((~happy(X0) | ~creative(X0)) => (brave(X0) & ~patient(X0)))... | 0 |
If someone is not old or creative then lucy is both wise and rich.
Everyone who is happy is not strong or not rich and vice versa.
Everyone who is wise or not rich is both not old and not rich and vice versa.
If someone is not old then paul is calm or tall.
Everyone who is patient or funny is not strong.
Everyone who i... | Alice is humble. | contradiction | ((?[X]:((~old(X)|creative(X))))=>((wise(lucy)&rich(lucy))))&
(![X]:(happy(X)<=>(~strong(X)|~rich(X))))&
(![X]:((wise(X)|~rich(X))<=>(~old(X)&~rich(X))))&
((?[X]:(~old(X)))=>((calm(paul)|tall(paul))))&
(![X]:((patient(X)|funny(X))=>~strong(X)))&
(![X]:((old(X)<~>patient(X))=>(~rich(X)&~happy(X))))&
((funny(lucy))=>((~ge... | humble(alice) | [
"p0",
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 558098032089765951722248
% SZS output start Proof for 558098032089765951722248
1. ? [X0] : (creative(X0) | ~old(X0)) => (rich(lucy) & wise(lucy)) [input p0]
3. ! [X0] : ((~rich(X0) | wise(X0)) <=> (~rich(X0) & ~old(X0))) [input p2]
6. ! [X0] : ((old(X0) <~> patient(X0)) => (~happy(X0) & ~... | 0 |
If fred is wise or not rich then someone is both humble and not wise and vice versa.
If fred is not generous then fred is not kind or calm.
If someone is funny or rich then someone is not quiet and vice versa.
Everyone who is funny is happy or not creative.
If someone is not calm then someone is tall and vice versa.
Ev... | John is not generous. | contradiction | (((wise(fred)|~rich(fred)))<=>(?[X]:((humble(X)&~wise(X)))))&
((~generous(fred))=>((~kind(fred)|calm(fred))))&
((?[X]:((funny(X)|rich(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(funny(X)=>(happy(X)|~creative(X))))&
((?[X]:(~calm(X)))<=>(?[X]:(tall(X))))&
(![X]:((~humble(X)|~tall(X))<=>(humble(X)&~happy(X))))&
((?[X]:(funny(X))... | ~generous(john) | [
"p2",
"p5",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4720869748140325528315576
% SZS output start Proof for 4720869748140325528315576
3. ? [X0] : (rich(X0) | funny(X0)) <=> ? [X0] : ~quiet(X0) [input p2]
6. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (~happy(X0) & humble(X0))) [input p5]
8. (creative(susan) & ~quiet(susan)) <=> ? [X0] : (~quiet... | 0 |
If someone is both not kind and rich then lucy is rich.
If someone is creative then susan is curious or happy.
If paul is either not tall or not calm then paul is funny.
Everyone who is either tall or generous is not strong or not creative.
If someone is either happy or tall then fred is both strong and humble and vice... | Lucy is tall. | entailment | ((?[X]:((~kind(X)&rich(X))))=>(rich(lucy)))&
((?[X]:(creative(X)))=>((curious(susan)|happy(susan))))&
(((~tall(paul)<~>~calm(paul)))=>(funny(paul)))&
(![X]:((tall(X)<~>generous(X))=>(~strong(X)|~creative(X))))&
((?[X]:((happy(X)<~>tall(X))))<=>((strong(fred)&humble(fred))))&
((?[X]:((~rich(X)<~>~funny(X))))=>(?[X]:((cr... | tall(lucy) | [
"p3",
"p9",
"p11",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2507501535216504229324378
% SZS output start Proof for 2507501535216504229324378
4. ! [X0] : ((tall(X0) <~> generous(X0)) => (~creative(X0) | ~strong(X0))) [input p3]
10. ! [X0] : ((humble(X0) & ~rich(X0)) <=> (~generous(X0) | wise(X0))) [input p9]
12. ! [X0] : ((~strong(X0) <~> ~rich(X0)... | 0 |
Everyone who is rich is either wise or rich and vice versa. If someone is both curious and rich then someone is either strong or not tall and vice versa. Everyone who is either not quiet or curious is old or not brave. Everyone who is creative or not calm is not generous and vice versa. Everyone who is both not kind an... | Paul is not quiet. | neutral | (![X]:(rich(X)<=>(wise(X)<~>rich(X))))&
((?[X]:((curious(X)&rich(X))))<=>(?[X]:((strong(X)<~>~tall(X)))))&
(![X]:((~quiet(X)<~>curious(X))=>(old(X)|~brave(X))))&
(![X]:((creative(X)|~calm(X))<=>~generous(X)))&
(![X]:((~kind(X)&~humble(X))=>(~funny(X)<~>old(X))))&
(![X]:((curious(X)<~>~happy(X))<=>(tall(X)|happy(X))))&
... | ~quiet(paul) | [] | null | 0 |
If someone is rich or tall then someone is both rich and quiet and vice versa.
Everyone who is not patient or not old is either not old or not rich.
Everyone who is tall is both not generous and generous and vice versa.
Everyone who is either curious or calm is either not old or not curious and vice versa.
If someone i... | Lucy is old. | entailment | ((?[X]:((rich(X)|tall(X))))<=>(?[X]:((rich(X)&quiet(X)))))&
(![X]:((~patient(X)|~old(X))=>(~old(X)<~>~rich(X))))&
(![X]:(tall(X)<=>(~generous(X)&generous(X))))&
(![X]:((curious(X)<~>calm(X))<=>(~old(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&wise(X))))<=>(?[X]:((~quiet(X)|old(X)))))&
(![X]:((funny(X)<~>~generous(X))<=>~ta... | old(lucy) | [
"p0",
"p1",
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8132517805738769290315339
% SZS output start Proof for 8132517805738769290315339
1. ? [X0] : (tall(X0) | rich(X0)) <=> ? [X0] : (quiet(X0) & rich(X0)) [input p0]
2. ! [X0] : ((~old(X0) | ~patient(X0)) => (~old(X0) <~> ~rich(X0))) [input p1]
3. ! [X0] : (tall(X0) <=> (generous(X0) & ~gener... | 0 |
Everyone who is curious or not creative is old and vice versa. Everyone who is both not generous and rich is both old and calm. If someone is either not wise or kind then paul is either wise or calm. Everyone who is not generous is not old and vice versa. If someone is both not wise and not rich then susan is either br... | Fred is not humble. | entailment | (![X]:((curious(X)|~creative(X))<=>old(X)))&
(![X]:((~generous(X)&rich(X))=>(old(X)&calm(X))))&
((?[X]:((~wise(X)<~>kind(X))))=>((wise(paul)<~>calm(paul))))&
(![X]:(~generous(X)<=>~old(X)))&
((?[X]:((~wise(X)&~rich(X))))=>((brave(susan)<~>tall(susan))))&
((?[X]:((~kind(X)<~>~old(X))))<=>(?[X]:(~kind(X))))&
((?[X]:(humb... | ~humble(fred) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3534564952482799776754095
% SZS output start Proof for 3534564952482799776754095
15. ! [X0] : (humble(X0) => (~humble(X0) & rich(X0))) [input p14]
24. humble(fred) [input hypothesis]
36. ! [X0] : ((~humble(X0) & rich(X0)) | ~humble(X0)) [ennf transformation 15]
116. ~humble(X0) | ~humble(... | 0 |
Everyone who is both not strong and not funny is patient. If someone is not old or not humble then fred is both old and humble. Everyone who is happy or humble is not funny or not happy. Everyone who is either not rich or quiet is not generous or happy and vice versa. Everyone who is not humble or humble is not creativ... | Fred is not brave. | neutral | (![X]:((~strong(X)&~funny(X))=>patient(X)))&
((?[X]:((~old(X)|~humble(X))))=>((old(fred)&humble(fred))))&
(![X]:((happy(X)|humble(X))=>(~funny(X)|~happy(X))))&
(![X]:((~rich(X)<~>quiet(X))<=>(~generous(X)|happy(X))))&
(![X]:((~humble(X)|humble(X))<=>~creative(X)))&
(![X]:((generous(X)&~kind(X))<=>~patient(X)))&
(![X]:(... | ~brave(fred) | [] | null | 0 |
Everyone who is either old or not generous is both brave and funny and vice versa.
Everyone who is both quiet and curious is either not creative or not kind and vice versa.
Everyone who is creative or humble is rich.
If fred is not patient then mary is both happy and creative and vice versa.
If fred is either not tall ... | Fred is brave. | entailment | (![X]:((old(X)<~>~generous(X))<=>(brave(X)&funny(X))))&
(![X]:((quiet(X)&curious(X))<=>(~creative(X)<~>~kind(X))))&
(![X]:((creative(X)|humble(X))=>rich(X)))&
((~patient(fred))<=>((happy(mary)&creative(mary))))&
(((~tall(fred)<~>~happy(fred)))<=>(?[X]:(~wise(X))))&
(![X]:((~old(X)&funny(X))=>(~strong(X)<~>patient(X))))... | brave(fred) | [
"p0",
"p4",
"p6",
"p7",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 318850078772894109364098
% SZS output start Proof for 318850078772894109364098
1. ! [X0] : ((old(X0) <~> ~generous(X0)) <=> (funny(X0) & brave(X0))) [input p0]
5. (~tall(fred) <~> ~happy(fred)) <=> ? [X0] : ~wise(X0) [input p4]
7. ! [X0] : (generous(X0) <=> (~wise(X0) | ~happy(X0))) [inpu... | 0 |
Everyone who is calm is either generous or not quiet and vice versa. Everyone who is curious or not generous is both tall and patient. Everyone who is not calm or not patient is either not rich or not tall and vice versa. Everyone who is not curious or not generous is either rich or tall and vice versa. Everyone who is... | Paul is wise. | neutral | (![X]:(calm(X)<=>(generous(X)<~>~quiet(X))))&
(![X]:((curious(X)|~generous(X))=>(tall(X)&patient(X))))&
(![X]:((~calm(X)|~patient(X))<=>(~rich(X)<~>~tall(X))))&
(![X]:((~curious(X)|~generous(X))<=>(rich(X)<~>tall(X))))&
(![X]:(tall(X)=>(old(X)<~>~funny(X))))&
(![X]:((~curious(X)|patient(X))=>(creative(X)<~>calm(X))))&
... | wise(paul) | [] | null | 0 |
Everyone who is either curious or kind is not curious.
Everyone who is creative or old is not calm and vice versa.
Everyone who is not creative is not tall or funny and vice versa.
Everyone who is either not humble or not kind is not patient.
If someone is not happy then mary is not happy or not wise.
If someone is bot... | Lucy is not quiet. | neutral | (![X]:((curious(X)<~>kind(X))=>~curious(X)))&
(![X]:((creative(X)|old(X))<=>~calm(X)))&
(![X]:(~creative(X)<=>(~tall(X)|funny(X))))&
(![X]:((~humble(X)<~>~kind(X))=>~patient(X)))&
((?[X]:(~happy(X)))=>((~happy(mary)|~wise(mary))))&
((?[X]:((curious(X)&~rich(X))))=>((funny(susan)<~>~kind(susan))))&
((?[X]:((~curious(X)|... | ~quiet(lucy) | [] | null | 0 |
Everyone who is not funny or not generous is old or creative and vice versa.
Everyone who is calm or rich is not generous.
Everyone who is patient is not creative or quiet.
If someone is kind then john is either brave or happy.
If john is rich or not generous then someone is not brave or not creative and vice versa.
Ev... | Lucy is tall. | neutral | (![X]:((~funny(X)|~generous(X))<=>(old(X)|creative(X))))&
(![X]:((calm(X)|rich(X))=>~generous(X)))&
(![X]:(patient(X)=>(~creative(X)|quiet(X))))&
((?[X]:(kind(X)))=>((brave(john)<~>happy(john))))&
(((rich(john)|~generous(john)))<=>(?[X]:((~brave(X)|~creative(X)))))&
(![X]:((quiet(X)<~>strong(X))<=>(curious(X)|~old(X)))... | tall(lucy) | [] | null | 0 |
Everyone who is either not quiet or happy is either not creative or not quiet and vice versa.
Everyone who is not curious is both creative and not strong.
Everyone who is tall or not funny is either patient or not happy.
If lucy is curious then alice is either not quiet or curious.
Everyone who is both rich and not ric... | Susan is generous. | contradiction | (![X]:((~quiet(X)<~>happy(X))<=>(~creative(X)<~>~quiet(X))))&
(![X]:(~curious(X)=>(creative(X)&~strong(X))))&
(![X]:((tall(X)|~funny(X))=>(patient(X)<~>~happy(X))))&
((curious(lucy))=>((~quiet(alice)<~>curious(alice))))&
(![X]:((rich(X)&~rich(X))=>(wise(X)&~old(X))))&
(((quiet(mary)|~tall(mary)))=>((~curious(mary)<~>~g... | generous(susan) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3870409899317272491182832
% SZS output start Proof for 3870409899317272491182832
10. ! [X0] : ((calm(X0) | brave(X0)) => strong(X0)) [input p9]
13. ! [X0] : ((~brave(X0) & generous(X0)) <=> (brave(X0) & strong(X0))) [input p12]
24. generous(susan) [input hypothesis]
37. ! [X0] : (strong(X... | 0 |
Everyone who is not humble is both tall and rich.
If someone is either patient or funny then fred is both not old and not quiet.
Everyone who is either old or curious is either strong or not funny.
Everyone who is not rich or old is not strong.
Everyone who is either not creative or funny is either generous or funny an... | Mary is not kind. | contradiction | (![X]:(~humble(X)=>(tall(X)&rich(X))))&
((?[X]:((patient(X)<~>funny(X))))=>((~old(fred)&~quiet(fred))))&
(![X]:((old(X)<~>curious(X))=>(strong(X)<~>~funny(X))))&
(![X]:((~rich(X)|old(X))=>~strong(X)))&
(![X]:((~creative(X)<~>funny(X))<=>(generous(X)<~>funny(X))))&
(![X]:(~patient(X)<=>~creative(X)))&
((?[X]:((~funny(X)... | ~kind(mary) | [
"p0",
"p9",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 223630288975834953251211
% SZS output start Proof for 223630288975834953251211
1. ! [X0] : (~humble(X0) => (rich(X0) & tall(X0))) [input p0]
10. ! [X0] : ((~funny(X0) | calm(X0)) <=> (~humble(X0) | kind(X0))) [input p9]
13. ! [X0] : ((~funny(X0) & ~curious(X0)) <=> ~tall(X0)) [input p12]
... | 0 |
If fred is either tall or patient then someone is both calm and happy.
If susan is either creative or wise then someone is quiet or not quiet and vice versa.
Everyone who is either not tall or kind is not brave or not curious.
Everyone who is both calm and not brave is not tall.
If someone is both not rich and not stro... | Paul is creative. | entailment | (((tall(fred)<~>patient(fred)))=>(?[X]:((calm(X)&happy(X)))))&
(((creative(susan)<~>wise(susan)))<=>(?[X]:((quiet(X)|~quiet(X)))))&
(![X]:((~tall(X)<~>kind(X))=>(~brave(X)|~curious(X))))&
(![X]:((calm(X)&~brave(X))=>~tall(X)))&
((?[X]:((~rich(X)&~strong(X))))<=>((~tall(lucy)<~>old(lucy))))&
((?[X]:(~kind(X)))=>(?[X]:((... | creative(paul) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 635587565593318843520883
% SZS output start Proof for 635587565593318843520883
15. ! [X0] : ((~strong(X0) | calm(X0)) <=> creative(X0)) [input p14]
20. ~happy(paul) & ~strong(paul) [input p19]
25. ~creative(paul) [input hypothesis]
66. ! [X0] : (((~strong(X0) | calm(X0)) | ~creative(X0)) ... | 0 |
If someone is strong or not curious then lucy is not generous or tall and vice versa.
Everyone who is not patient or not brave is generous.
If alice is kind then john is not humble or not patient and vice versa.
Everyone who is either calm or happy is brave.
If someone is not old then someone is both not kind and not s... | Mary is not brave. | contradiction | ((?[X]:((strong(X)|~curious(X))))<=>((~generous(lucy)|tall(lucy))))&
(![X]:((~patient(X)|~brave(X))=>generous(X)))&
((kind(alice))<=>((~humble(john)|~patient(john))))&
(![X]:((calm(X)<~>happy(X))=>brave(X)))&
((?[X]:(~old(X)))<=>(?[X]:((~kind(X)&~strong(X)))))&
(![X]:(~funny(X)<=>(funny(X)|~humble(X))))&
(((kind(john)|... | ~brave(mary) | [
"p1",
"p3",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6381061507520592890111203
% SZS output start Proof for 6381061507520592890111203
2. ! [X0] : ((~brave(X0) | ~patient(X0)) => generous(X0)) [input p1]
4. ! [X0] : ((calm(X0) <~> happy(X0)) => brave(X0)) [input p3]
15. ! [X0] : (happy(X0) <=> (kind(X0) <~> ~kind(X0))) [input p14]
16. ! [X0]... | 0 |
If someone is humble or curious then john is either calm or creative and vice versa.
If someone is either not strong or tall then someone is rich or happy.
Everyone who is not tall is generous.
If mary is humble then susan is quiet or calm and vice versa.
Everyone who is either not curious or quiet is either happy or t... | Alice is not creative. | contradiction | ((?[X]:((humble(X)|curious(X))))<=>((calm(john)<~>creative(john))))&
((?[X]:((~strong(X)<~>tall(X))))=>(?[X]:((rich(X)|happy(X)))))&
(![X]:(~tall(X)=>generous(X)))&
((humble(mary))<=>((quiet(susan)|calm(susan))))&
(![X]:((~curious(X)<~>quiet(X))<=>(happy(X)<~>tall(X))))&
(![X]:((funny(X)&rich(X))=>(kind(X)|old(X))))&
(... | ~creative(alice) | [
"p2",
"p8",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8839341678993176747981919
% SZS output start Proof for 8839341678993176747981919
3. ! [X0] : (~tall(X0) => generous(X0)) [input p2]
9. ! [X0] : ((strong(X0) | ~quiet(X0)) <=> (generous(X0) <~> ~tall(X0))) [input p8]
14. ! [X0] : ((creative(X0) & rich(X0)) <=> (generous(X0) | ~humble(X0)))... | 0 |
Everyone who is old or curious is funny.
If john is both strong and not quiet then mary is not humble.
If paul is both not old and old then someone is kind or not brave and vice versa.
If lucy is happy or generous then someone is not creative or not generous.
If someone is not quiet then john is both not funny and not ... | Susan is not kind. | entailment | (![X]:((old(X)|curious(X))=>funny(X)))&
(((strong(john)&~quiet(john)))=>(~humble(mary)))&
(((~old(paul)&old(paul)))<=>(?[X]:((kind(X)|~brave(X)))))&
(((happy(lucy)|generous(lucy)))=>(?[X]:((~creative(X)|~generous(X)))))&
((?[X]:(~quiet(X)))<=>((~funny(john)&~wise(john))))&
((~happy(paul))=>(calm(mary)))&
(((~calm(fred)... | ~kind(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3600203420356241550375167
% SZS output start Proof for 3600203420356241550375167
3. (old(paul) & ~old(paul)) <=> ? [X0] : (~brave(X0) | kind(X0)) [input p2]
25. kind(susan) [input hypothesis]
40. ((old(paul) & ~old(paul)) | ! [X0] : (brave(X0) & ~kind(X0))) & (? [X0] : (~brave(X0) | kind(... | 0 |
If someone is funny then paul is both brave and not quiet.
If john is creative or not rich then fred is either not quiet or quiet and vice versa.
If someone is both not creative and happy then fred is either generous or not curious and vice versa.
Everyone who is either patient or not old is either not kind or not brav... | Fred is not calm. | neutral | ((?[X]:(funny(X)))=>((brave(paul)&~quiet(paul))))&
(((creative(john)|~rich(john)))<=>((~quiet(fred)<~>quiet(fred))))&
((?[X]:((~creative(X)&happy(X))))<=>((generous(fred)<~>~curious(fred))))&
(![X]:((patient(X)<~>~old(X))<=>(~kind(X)<~>~brave(X))))&
((?[X]:(generous(X)))<=>(funny(mary)))&
((?[X]:(~kind(X)))<=>(?[X]:((~... | ~calm(fred) | [] | null | 0 |
If someone is tall or quiet then fred is either patient or not kind and vice versa.
If someone is either not happy or not calm then mary is both not brave and not quiet and vice versa.
Everyone who is funny is either wise or strong and vice versa.
Everyone who is both not tall and not calm is either wise or brave.
Ever... | Fred is patient. | contradiction | ((?[X]:((tall(X)|quiet(X))))<=>((patient(fred)<~>~kind(fred))))&
((?[X]:((~happy(X)<~>~calm(X))))<=>((~brave(mary)&~quiet(mary))))&
(![X]:(funny(X)<=>(wise(X)<~>strong(X))))&
(![X]:((~tall(X)&~calm(X))=>(wise(X)<~>brave(X))))&
(![X]:((~funny(X)&~humble(X))<=>(tall(X)|funny(X))))&
(![X]:((funny(X)|brave(X))<=>~humble(X)... | patient(fred) | [
"p4",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5975809127331488719766325
% SZS output start Proof for 5975809127331488719766325
5. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (funny(X0) | tall(X0))) [input p4]
6. ! [X0] : ((brave(X0) | funny(X0)) <=> ~humble(X0)) [input p5]
11. ! [X0] : ((tall(X0) | ~brave(X0)) => ~patient(X0)) [input p1... | 0 |
Everyone who is not tall is either humble or not creative and vice versa. Everyone who is either not quiet or strong is both not calm and patient and vice versa. Everyone who is not wise or strong is not patient. Everyone who is funny is either creative or not old. Everyone who is not old or creative is either not humb... | Lucy is not quiet. | entailment | (![X]:(~tall(X)<=>(humble(X)<~>~creative(X))))&
(![X]:((~quiet(X)<~>strong(X))<=>(~calm(X)&patient(X))))&
(![X]:((~wise(X)|strong(X))=>~patient(X)))&
(![X]:(funny(X)=>(creative(X)<~>~old(X))))&
(![X]:((~old(X)|creative(X))=>(~humble(X)<~>~brave(X))))&
(![X]:((happy(X)&~calm(X))<=>generous(X)))&
(((kind(mary)|patient(ma... | ~quiet(lucy) | [
"p1",
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6377148897967961403700945
% SZS output start Proof for 6377148897967961403700945
2. ! [X0] : ((~quiet(X0) <~> strong(X0)) <=> (patient(X0) & ~calm(X0))) [input p1]
3. ! [X0] : ((strong(X0) | ~wise(X0)) => ~patient(X0)) [input p2]
13. ! [X0] : (~strong(X0) => ~quiet(X0)) [input p12]
25. qu... | 0 |
If someone is either happy or not brave then susan is wise or not creative. If someone is either not funny or strong then someone is both tall and creative and vice versa. If someone is both not happy and wise then someone is both not curious and not creative. If someone is both strong and quiet then someone is not gen... | Susan is not generous. | contradiction | ((?[X]:((happy(X)<~>~brave(X))))=>((wise(susan)|~creative(susan))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((tall(X)&creative(X)))))&
((?[X]:((~happy(X)&wise(X))))=>(?[X]:((~curious(X)&~creative(X)))))&
((?[X]:((strong(X)&quiet(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(~humble(X)=>(~funny(X)<~>~quiet(X))))... | ~generous(susan) | [
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1041325931594547942419177
% SZS output start Proof for 1041325931594547942419177
4. ? [X0] : (quiet(X0) & strong(X0)) <=> ? [X0] : (~happy(X0) | ~generous(X0)) [input p3]
14. ! [X0] : (quiet(X0) => ~strong(X0)) [input p13]
22. ~generous(susan) [input hypothesis]
25. ? [X0] : (quiet(X0) & ... | 0 |
Everyone who is either not creative or not rich is generous and vice versa. Everyone who is either not rich or strong is both happy and not creative. If paul is both curious and not wise then someone is happy and vice versa. If fred is either not rich or not creative then someone is either patient or strong and vice ve... | Fred is not strong. | contradiction | (![X]:((~creative(X)<~>~rich(X))<=>generous(X)))&
(![X]:((~rich(X)<~>strong(X))=>(happy(X)&~creative(X))))&
(((curious(paul)&~wise(paul)))<=>(?[X]:(happy(X))))&
(((~rich(fred)<~>~creative(fred)))<=>(?[X]:((patient(X)<~>strong(X)))))&
(((tall(mary)|~wise(mary)))<=>(?[X]:((kind(X)|creative(X)))))&
((?[X]:((brave(X)<~>pat... | ~strong(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5210509733471833458607331
% SZS output start Proof for 5210509733471833458607331
16. ! [X0] : ((~creative(X0) & strong(X0)) <=> (happy(X0) | ~happy(X0))) [input p15]
23. ~strong(fred) [input hypothesis]
75. ! [X0] : (((~creative(X0) & strong(X0)) | (~happy(X0) & happy(X0))) & ((happy(X0) ... | 0 |
Everyone who is patient is tall or creative.
Everyone who is either calm or tall is not strong and vice versa.
If lucy is generous then someone is brave and vice versa.
If someone is generous then someone is humble.
Everyone who is not humble or rich is both not quiet and generous.
Everyone who is generous or not patie... | Lucy is kind. | neutral | (![X]:(patient(X)=>(tall(X)|creative(X))))&
(![X]:((calm(X)<~>tall(X))<=>~strong(X)))&
((generous(lucy))<=>(?[X]:(brave(X))))&
((?[X]:(generous(X)))=>(?[X]:(humble(X))))&
(![X]:((~humble(X)|rich(X))=>(~quiet(X)&generous(X))))&
(![X]:((generous(X)|~patient(X))=>(~kind(X)|creative(X))))&
(![X]:((creative(X)&generous(X))=... | kind(lucy) | [] | null | 0 |
Everyone who is not brave is both not quiet and not rich and vice versa.
Everyone who is both not tall and quiet is both not wise and not humble.
If someone is not brave then someone is either calm or humble.
Everyone who is not curious or not creative is calm or rich and vice versa.
If mary is brave or generous then s... | Susan is strong. | entailment | (![X]:(~brave(X)<=>(~quiet(X)&~rich(X))))&
(![X]:((~tall(X)&quiet(X))=>(~wise(X)&~humble(X))))&
((?[X]:(~brave(X)))=>(?[X]:((calm(X)<~>humble(X)))))&
(![X]:((~curious(X)|~creative(X))<=>(calm(X)|rich(X))))&
(((brave(mary)|generous(mary)))=>(?[X]:(rich(X))))&
((?[X]:((calm(X)|creative(X))))<=>(?[X]:((rich(X)&~rich(X))))... | strong(susan) | [
"p5",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8923404171593207504771721
% SZS output start Proof for 8923404171593207504771721
6. ? [X0] : (creative(X0) | calm(X0)) <=> ? [X0] : (~rich(X0) & rich(X0)) [input p5]
10. ! [X0] : ((~calm(X0) <~> strong(X0)) => generous(X0)) [input p9]
19. ~quiet(susan) & ~generous(susan) [input p18]
23. ~... | 0 |
Everyone who is calm is either tall or not rich.
Everyone who is either not funny or old is either not wise or calm.
Everyone who is not patient or not happy is either quiet or old.
Everyone who is either wise or patient is both humble and not quiet.
If paul is both tall and not old then john is not humble and vice ver... | Alice is not humble. | contradiction | (![X]:(calm(X)=>(tall(X)<~>~rich(X))))&
(![X]:((~funny(X)<~>old(X))=>(~wise(X)<~>calm(X))))&
(![X]:((~patient(X)|~happy(X))=>(quiet(X)<~>old(X))))&
(![X]:((wise(X)<~>patient(X))=>(humble(X)&~quiet(X))))&
(((tall(paul)&~old(paul)))<=>(~humble(john)))&
((?[X]:((strong(X)&creative(X))))<=>(?[X]:(~quiet(X))))&
(![X]:((calm... | ~humble(alice) | [
"p2",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5539816882030513444132574
% SZS output start Proof for 5539816882030513444132574
3. ! [X0] : ((~happy(X0) | ~patient(X0)) => (quiet(X0) <~> old(X0))) [input p2]
13. ! [X0] : (quiet(X0) => humble(X0)) [input p12]
16. ! [X0] : (happy(X0) <=> old(X0)) [input p15]
19. ~old(alice) [input p18]
... | 0 |
Everyone who is not rich is both not funny and quiet.
If mary is either happy or calm then paul is both calm and not brave and vice versa.
Everyone who is either wise or not quiet is either not brave or not quiet and vice versa.
If john is funny then paul is not tall.
Everyone who is calm is not old or calm.
Everyone w... | John is old. | entailment | (![X]:(~rich(X)=>(~funny(X)&quiet(X))))&
(((happy(mary)<~>calm(mary)))<=>((calm(paul)&~brave(paul))))&
(![X]:((wise(X)<~>~quiet(X))<=>(~brave(X)<~>~quiet(X))))&
((funny(john))=>(~tall(paul)))&
(![X]:(calm(X)=>(~old(X)|calm(X))))&
(![X]:((creative(X)<~>rich(X))=>(~quiet(X)&curious(X))))&
(![X]:((humble(X)|~happy(X))=>(c... | old(john) | [
"p10",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3389532432094407946490470
% SZS output start Proof for 3389532432094407946490470
11. ! [X0] : (brave(X0) <=> (~old(X0) <~> strong(X0))) [input p10]
15. (old(john) & ~tall(john)) <=> ? [X0] : (~strong(X0) & ~old(X0)) [input p14]
18. ~strong(fred) [input p17]
19. ~patient(fred) & brave(fred... | 0 |
Everyone who is not happy or patient is not kind or kind.
Everyone who is either not brave or not generous is both happy and patient and vice versa.
Everyone who is either not wise or curious is calm.
Everyone who is wise is either not wise or not calm and vice versa.
If mary is either not brave or not rich then someon... | Mary is not brave. | neutral | (![X]:((~happy(X)|patient(X))=>(~kind(X)|kind(X))))&
(![X]:((~brave(X)<~>~generous(X))<=>(happy(X)&patient(X))))&
(![X]:((~wise(X)<~>curious(X))=>calm(X)))&
(![X]:(wise(X)<=>(~wise(X)<~>~calm(X))))&
(((~brave(mary)<~>~rich(mary)))<=>(?[X]:((humble(X)<~>patient(X)))))&
(![X]:((generous(X)&tall(X))<=>(patient(X)|calm(X))... | ~brave(mary) | [] | null | 0 |
Everyone who is both creative and not rich is funny or not curious. If fred is brave or not brave then john is both funny and old. Everyone who is wise or not generous is either not curious or not quiet and vice versa. Everyone who is not old is kind. Everyone who is not calm is not wise or quiet and vice versa. Everyo... | Paul is not curious. | entailment | (![X]:((creative(X)&~rich(X))=>(funny(X)|~curious(X))))&
(((brave(fred)|~brave(fred)))=>((funny(john)&old(john))))&
(![X]:((wise(X)|~generous(X))<=>(~curious(X)<~>~quiet(X))))&
(![X]:(~old(X)=>kind(X)))&
(![X]:(~calm(X)<=>(~wise(X)|quiet(X))))&
(![X]:(~kind(X)<=>(wise(X)&~rich(X))))&
(![X]:((calm(X)<~>curious(X))<=>(~s... | ~curious(paul) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 792010370484718965018987
% SZS output start Proof for 792010370484718965018987
3. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~curious(X0) <~> ~quiet(X0))) [input p2]
4. ! [X0] : (~old(X0) => kind(X0)) [input p3]
5. ! [X0] : (~calm(X0) <=> (quiet(X0) | ~wise(X0))) [input p4]
6. ! [X0] : (~k... | 0 |
If susan is quiet or not old then someone is either not wise or humble and vice versa.
Everyone who is strong is generous or not brave.
Everyone who is funny or brave is not strong.
Everyone who is not wise is not strong or happy.
If someone is either not kind or brave then someone is not strong or not old and vice ver... | Fred is not patient. | entailment | (((quiet(susan)|~old(susan)))<=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:(strong(X)=>(generous(X)|~brave(X))))&
(![X]:((funny(X)|brave(X))=>~strong(X)))&
(![X]:(~wise(X)=>(~strong(X)|happy(X))))&
((?[X]:((~kind(X)<~>brave(X))))<=>(?[X]:((~strong(X)|~old(X)))))&
(![X]:((rich(X)&tall(X))=>(old(X)|strong(X))))&
(![X]:((ric... | ~patient(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 510392892865246020257022
% SZS output start Proof for 510392892865246020257022
14. ! [X0] : (wise(X0) <=> (~patient(X0) | ~wise(X0))) [input p13]
24. patient(fred) [input hypothesis]
61. ! [X0] : ((wise(X0) | (patient(X0) & wise(X0))) & ((~patient(X0) | ~wise(X0)) | ~wise(X0))) [nnf trans... | 0 |
If alice is both not strong and funny then someone is creative or generous and vice versa. If someone is both not strong and not happy then lucy is both not quiet and not brave. If someone is both strong and not patient then alice is both not curious and funny. Everyone who is either not creative or not humble is patie... | Alice is not patient. | contradiction | (((~strong(alice)&funny(alice)))<=>(?[X]:((creative(X)|generous(X)))))&
((?[X]:((~strong(X)&~happy(X))))=>((~quiet(lucy)&~brave(lucy))))&
((?[X]:((strong(X)&~patient(X))))=>((~curious(alice)&funny(alice))))&
(![X]:((~creative(X)<~>~humble(X))=>(patient(X)|kind(X))))&
(![X]:((~quiet(X)<~>creative(X))=>(patient(X)<~>happ... | ~patient(alice) | [
"p0",
"p8",
"p10",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8007200328349249124436701
% SZS output start Proof for 8007200328349249124436701
1. (funny(alice) & ~strong(alice)) <=> ? [X0] : (generous(X0) | creative(X0)) [input p0]
9. (~humble(alice) | curious(alice)) <=> ? [X0] : (~patient(X0) | strong(X0)) [input p8]
11. ! [X0] : ((~rich(X0) <~> ~... | 0 |
Everyone who is both rich and not wise is not humble and vice versa.
Everyone who is calm or not strong is both not wise and not creative and vice versa.
Everyone who is not generous is either patient or not patient and vice versa.
If john is both not quiet and not brave then fred is tall or not generous and vice versa... | Lucy is funny. | contradiction | (![X]:((rich(X)&~wise(X))<=>~humble(X)))&
(![X]:((calm(X)|~strong(X))<=>(~wise(X)&~creative(X))))&
(![X]:(~generous(X)<=>(patient(X)<~>~patient(X))))&
(((~quiet(john)&~brave(john)))<=>((tall(fred)|~generous(fred))))&
(![X]:((~rich(X)<~>~calm(X))=>patient(X)))&
(![X]:((calm(X)&~wise(X))=>(~generous(X)<~>humble(X))))&
(!... | funny(lucy) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3224386821440785769557921
% SZS output start Proof for 3224386821440785769557921
3. ! [X0] : (~generous(X0) <=> (patient(X0) <~> ~patient(X0))) [input p2]
7. ! [X0] : ((~generous(X0) | ~calm(X0)) => (~funny(X0) & curious(X0))) [input p6]
25. funny(lucy) [input hypothesis]
26. ! [X0] : ((~... | 0 |
If john is creative then paul is both strong and not patient and vice versa. Everyone who is patient is both rich and brave and vice versa. If someone is quiet then paul is strong or not happy. Everyone who is either not kind or old is both not humble and happy and vice versa. If paul is either not old or not generous ... | Mary is humble. | neutral | ((creative(john))<=>((strong(paul)&~patient(paul))))&
(![X]:(patient(X)<=>(rich(X)&brave(X))))&
((?[X]:(quiet(X)))=>((strong(paul)|~happy(paul))))&
(![X]:((~kind(X)<~>old(X))<=>(~humble(X)&happy(X))))&
(((~old(paul)<~>~generous(paul)))<=>(~rich(mary)))&
((?[X]:((creative(X)<~>brave(X))))=>(?[X]:((patient(X)&~brave(X)))... | humble(mary) | [] | null | 0 |
Everyone who is brave or humble is calm and vice versa.
If someone is not humble then alice is creative.
Everyone who is not humble is strong or kind.
If mary is both rich and not old then alice is both rich and old and vice versa.
If someone is both not tall and happy then someone is not old or tall.
If susan is not p... | Mary is old. | contradiction | (![X]:((brave(X)|humble(X))<=>calm(X)))&
((?[X]:(~humble(X)))=>(creative(alice)))&
(![X]:(~humble(X)=>(strong(X)|kind(X))))&
(((rich(mary)&~old(mary)))<=>((rich(alice)&old(alice))))&
((?[X]:((~tall(X)&happy(X))))=>(?[X]:((~old(X)|tall(X)))))&
((~patient(susan))=>(?[X]:(~calm(X))))&
(![X]:(~generous(X)<=>(~kind(X)<~>fun... | old(mary) | [
"p1",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4690397699650445698421320
% SZS output start Proof for 4690397699650445698421320
2. ? [X0] : ~humble(X0) => creative(alice) [input p1]
8. ? [X0] : (creative(X0) | ~calm(X0)) <=> (calm(lucy) & ~calm(lucy)) [input p7]
11. ? [X0] : (strong(X0) & old(X0)) <=> (~humble(alice) & funny(alice)) [... | 0 |
Everyone who is either humble or creative is either quiet or creative.
Everyone who is generous is not happy and vice versa.
Everyone who is both tall and not generous is creative.
If someone is not creative or rich then someone is both generous and tall.
If someone is either not generous or not humble then someone is ... | Alice is not calm. | contradiction | (![X]:((humble(X)<~>creative(X))=>(quiet(X)<~>creative(X))))&
(![X]:(generous(X)<=>~happy(X)))&
(![X]:((tall(X)&~generous(X))=>creative(X)))&
((?[X]:((~creative(X)|rich(X))))=>(?[X]:((generous(X)&tall(X)))))&
((?[X]:((~generous(X)<~>~humble(X))))=>(?[X]:(wise(X))))&
((?[X]:((patient(X)<~>creative(X))))=>(?[X]:((old(X)|... | ~calm(alice) | [
"p1",
"p2",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8749713990040516439213663
% SZS output start Proof for 8749713990040516439213663
2. ! [X0] : (generous(X0) <=> ~happy(X0)) [input p1]
3. ! [X0] : ((~generous(X0) & tall(X0)) => creative(X0)) [input p2]
14. ! [X0] : ((~curious(X0) & ~tall(X0)) <=> (happy(X0) <~> ~calm(X0))) [input p13]
15.... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.