premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not curious is both not rich and happy. Everyone who is not curious is generous and vice versa. If someone is both not humble and not curious then alice is rich or not calm. Everyone who is both not generous and brave is both not rich and happy and vice versa. If someone is both not brave and wise then ... | Fred is brave. | entailment | (![X]:(~curious(X)=>(~rich(X)&happy(X))))&
(![X]:(~curious(X)<=>generous(X)))&
((?[X]:((~humble(X)&~curious(X))))=>((rich(alice)|~calm(alice))))&
(![X]:((~generous(X)&brave(X))<=>(~rich(X)&happy(X))))&
((?[X]:((~brave(X)&wise(X))))=>(?[X]:(humble(X))))&
(![X]:(~quiet(X)=>humble(X)))&
(![X]:((~curious(X)&~humble(X))=>(~... | brave(fred) | [
"p0",
"p1",
"p3",
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2701233419944393292246552
% SZS output start Proof for 2701233419944393292246552
1. ! [X0] : (~curious(X0) => (happy(X0) & ~rich(X0))) [input p0]
2. ! [X0] : (~curious(X0) <=> generous(X0)) [input p1]
4. ! [X0] : ((brave(X0) & ~generous(X0)) <=> (happy(X0) & ~rich(X0))) [input p3]
5. ? [X... | 0 |
If someone is funny or not funny then lucy is both brave and generous. Everyone who is wise is old. Everyone who is either patient or not wise is both brave and not creative. If someone is not quiet or creative then lucy is tall or wise. Everyone who is both not generous and happy is not happy and vice versa. If someon... | Paul is calm. | contradiction | ((?[X]:((funny(X)|~funny(X))))=>((brave(lucy)&generous(lucy))))&
(![X]:(wise(X)=>old(X)))&
(![X]:((patient(X)<~>~wise(X))=>(brave(X)&~creative(X))))&
((?[X]:((~quiet(X)|creative(X))))=>((tall(lucy)|wise(lucy))))&
(![X]:((~generous(X)&happy(X))<=>~happy(X)))&
((?[X]:((~strong(X)|~tall(X))))=>((~kind(fred)<~>curious(fred... | calm(paul) | [
"p1",
"p2",
"p4",
"p8",
"p11",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4205529289950771801650226
% SZS output start Proof for 4205529289950771801650226
2. ! [X0] : (wise(X0) => old(X0)) [input p1]
3. ! [X0] : ((patient(X0) <~> ~wise(X0)) => (~creative(X0) & brave(X0))) [input p2]
5. ! [X0] : ((happy(X0) & ~generous(X0)) <=> ~happy(X0)) [input p4]
9. ! [X0] :... | 0 |
If someone is old or wise then alice is calm. Everyone who is either not kind or not happy is either not quiet or old and vice versa. If someone is not old then susan is not funny. If mary is patient then someone is not calm and vice versa. If john is either not happy or rich then someone is old or not strong and vice ... | Fred is not quiet. | contradiction | ((?[X]:((old(X)|wise(X))))=>(calm(alice)))&
(![X]:((~kind(X)<~>~happy(X))<=>(~quiet(X)<~>old(X))))&
((?[X]:(~old(X)))=>(~funny(susan)))&
((patient(mary))<=>(?[X]:(~calm(X))))&
(((~happy(john)<~>rich(john)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((~quiet(X)|~happy(X))<=>(~funny(X)&rich(X))))&
(![X]:((~quiet(X)<~>calm(X... | ~quiet(fred) | [
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 106773614976032083205371
% SZS output start Proof for 106773614976032083205371
10. ! [X0] : ((~quiet(X0) & ~calm(X0)) => (~creative(X0) & calm(X0))) [input p9]
11. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (~quiet(X0) | ~funny(X0))) [input p10]
22. ~quiet(fred) [input hypothesis]
29. ! [X0]... | 0 |
Everyone who is both happy and humble is not brave or not funny.
If alice is not happy then alice is not rich and vice versa.
Everyone who is calm or creative is not wise or curious and vice versa.
Everyone who is not rich is either not rich or not curious.
Everyone who is either not curious or not tall is both not hap... | Alice is not kind. | neutral | (![X]:((happy(X)&humble(X))=>(~brave(X)|~funny(X))))&
((~happy(alice))<=>(~rich(alice)))&
(![X]:((calm(X)|creative(X))<=>(~wise(X)|curious(X))))&
(![X]:(~rich(X)=>(~rich(X)<~>~curious(X))))&
(![X]:((~curious(X)<~>~tall(X))<=>(~happy(X)&~rich(X))))&
(((~funny(fred)<~>funny(fred)))=>((tall(john)<~>~happy(john))))&
((gene... | ~kind(alice) | [] | null | 0 |
Everyone who is both funny and not rich is either not wise or curious and vice versa.
If someone is not quiet or creative then someone is both generous and not rich.
Everyone who is not kind is either not brave or humble.
Everyone who is kind is not funny.
If someone is either not wise or wise then mary is both not hap... | John is not rich. | entailment | (![X]:((funny(X)&~rich(X))<=>(~wise(X)<~>curious(X))))&
((?[X]:((~quiet(X)|creative(X))))=>(?[X]:((generous(X)&~rich(X)))))&
(![X]:(~kind(X)=>(~brave(X)<~>humble(X))))&
(![X]:(kind(X)=>~funny(X)))&
((?[X]:((~wise(X)<~>wise(X))))=>((~happy(mary)&~kind(mary))))&
(![X]:((curious(X)<~>~patient(X))<=>(~wise(X)<~>~generous(X... | ~rich(john) | [
"p0",
"p3",
"p5",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5957241756256933917925806
% SZS output start Proof for 5957241756256933917925806
1. ! [X0] : ((~rich(X0) & funny(X0)) <=> (~wise(X0) <~> curious(X0))) [input p0]
4. ! [X0] : (kind(X0) => ~funny(X0)) [input p3]
6. ! [X0] : ((curious(X0) <~> ~patient(X0)) <=> (~wise(X0) <~> ~generous(X0))) ... | 0 |
If someone is not curious or not old then mary is calm and vice versa.
Everyone who is wise or tall is happy or not generous.
Everyone who is both humble and creative is calm and vice versa.
Everyone who is either wise or not curious is strong.
If fred is both not kind and happy then someone is either not old or not ki... | Mary is not calm. | contradiction | ((?[X]:((~curious(X)|~old(X))))<=>(calm(mary)))&
(![X]:((wise(X)|tall(X))=>(happy(X)|~generous(X))))&
(![X]:((humble(X)&creative(X))<=>calm(X)))&
(![X]:((wise(X)<~>~curious(X))=>strong(X)))&
(((~kind(fred)&happy(fred)))<=>(?[X]:((~old(X)<~>~kind(X)))))&
(![X]:(~rich(X)<=>(~tall(X)&~creative(X))))&
(![X]:(~happy(X)<=>(~... | ~calm(mary) | [
"p0",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6727351260619345600871064
% SZS output start Proof for 6727351260619345600871064
1. ? [X0] : (~old(X0) | ~curious(X0)) <=> calm(mary) [input p0]
22. ? [X0] : (~old(X0) & wise(X0)) [input p21]
24. ~calm(mary) [input hypothesis]
38. (? [X0] : (~old(X0) | ~curious(X0)) | ~calm(mary)) & (calm... | 0 |
Everyone who is either not rich or not curious is either not funny or wise. If susan is either strong or not wise then someone is either happy or not quiet and vice versa. If mary is not brave then someone is both strong and humble. Everyone who is not tall is both tall and not rich and vice versa. If mary is brave or ... | Alice is not tall. | contradiction | (![X]:((~rich(X)<~>~curious(X))=>(~funny(X)<~>wise(X))))&
(((strong(susan)<~>~wise(susan)))<=>(?[X]:((happy(X)<~>~quiet(X)))))&
((~brave(mary))=>(?[X]:((strong(X)&humble(X)))))&
(![X]:(~tall(X)<=>(tall(X)&~rich(X))))&
(((brave(mary)|kind(mary)))<=>((~rich(fred)|generous(fred))))&
(![X]:((~tall(X)|wise(X))<=>~patient(X)... | ~tall(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8621299287070436698920593
% SZS output start Proof for 8621299287070436698920593
4. ! [X0] : (~tall(X0) <=> (~rich(X0) & tall(X0))) [input p3]
24. ~tall(alice) [input hypothesis]
37. ! [X0] : ((~tall(X0) | (rich(X0) | ~tall(X0))) & ((~rich(X0) & tall(X0)) | tall(X0))) [nnf transformation ... | 0 |
If fred is either old or not tall then someone is brave or not wise and vice versa. Everyone who is both quiet and not creative is happy. If lucy is not humble or creative then paul is both rich and creative. Everyone who is both not kind and not generous is both strong and not rich. If mary is old then someone is wise... | Alice is brave. | neutral | (((old(fred)<~>~tall(fred)))<=>(?[X]:((brave(X)|~wise(X)))))&
(![X]:((quiet(X)&~creative(X))=>happy(X)))&
(((~humble(lucy)|creative(lucy)))=>((rich(paul)&creative(paul))))&
(![X]:((~kind(X)&~generous(X))=>(strong(X)&~rich(X))))&
((old(mary))=>(?[X]:(wise(X))))&
(((patient(paul)|~generous(paul)))=>((~patient(paul)|~wise... | brave(alice) | [] | null | 0 |
If paul is wise then someone is not generous or not humble.
Everyone who is both not wise and happy is either not kind or not curious and vice versa.
If lucy is both patient and not old then someone is either kind or not quiet and vice versa.
If someone is both strong and not generous then someone is not rich and vice ... | Paul is rich. | contradiction | ((wise(paul))=>(?[X]:((~generous(X)|~humble(X)))))&
(![X]:((~wise(X)&happy(X))<=>(~kind(X)<~>~curious(X))))&
(((patient(lucy)&~old(lucy)))<=>(?[X]:((kind(X)<~>~quiet(X)))))&
((?[X]:((strong(X)&~generous(X))))<=>(?[X]:(~rich(X))))&
(![X]:((calm(X)|creative(X))<=>(~curious(X)&~happy(X))))&
((?[X]:((brave(X)|creative(X)))... | rich(paul) | [
"p1",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8473622630506068871717321
% SZS output start Proof for 8473622630506068871717321
2. ! [X0] : ((happy(X0) & ~wise(X0)) <=> (~kind(X0) <~> ~curious(X0))) [input p1]
6. ? [X0] : (creative(X0) | brave(X0)) <=> ? [X0] : kind(X0) [input p5]
7. ! [X0] : ((~funny(X0) | ~happy(X0)) <=> (creative(X... | 0 |
If paul is either not happy or not funny then someone is either patient or curious.
Everyone who is quiet is not calm or not old.
Everyone who is either generous or happy is either not quiet or generous and vice versa.
If someone is not strong or not wise then alice is brave.
Everyone who is funny or not patient is bot... | Lucy is humble. | entailment | (((~happy(paul)<~>~funny(paul)))=>(?[X]:((patient(X)<~>curious(X)))))&
(![X]:(quiet(X)=>(~calm(X)|~old(X))))&
(![X]:((generous(X)<~>happy(X))<=>(~quiet(X)<~>generous(X))))&
((?[X]:((~strong(X)|~wise(X))))=>(brave(alice)))&
(![X]:((funny(X)|~patient(X))<=>(tall(X)&humble(X))))&
((?[X]:(creative(X)))=>((curious(fred)&kin... | humble(lucy) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3817884864529180537795077
% SZS output start Proof for 3817884864529180537795077
5. ! [X0] : ((~patient(X0) | funny(X0)) <=> (humble(X0) & tall(X0))) [input p4]
14. ! [X0] : ((~curious(X0) | patient(X0)) => (funny(X0) <~> ~patient(X0))) [input p13]
24. ~humble(lucy) [input hypothesis]
34.... | 0 |
If paul is either brave or not strong then john is humble or funny.
If someone is not creative then someone is kind or not curious and vice versa.
If john is either not tall or not funny then john is either not brave or humble and vice versa.
If someone is both rich and not old then someone is not creative or curious a... | Lucy is generous. | entailment | (((brave(paul)<~>~strong(paul)))=>((humble(john)|funny(john))))&
((?[X]:(~creative(X)))<=>(?[X]:((kind(X)|~curious(X)))))&
(((~tall(john)<~>~funny(john)))<=>((~brave(john)<~>humble(john))))&
((?[X]:((rich(X)&~old(X))))<=>(?[X]:((~creative(X)|curious(X)))))&
((?[X]:((~happy(X)&calm(X))))=>(?[X]:((tall(X)<~>~calm(X)))))&... | generous(lucy) | [
"p5",
"p7",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2731317146149263483684497
% SZS output start Proof for 2731317146149263483684497
6. ? [X0] : (strong(X0) | generous(X0)) => ? [X0] : funny(X0) [input p5]
8. (~wise(lucy) <~> ~generous(lucy)) <=> ? [X0] : (funny(X0) | ~tall(X0)) [input p7]
13. ! [X0] : ((wise(X0) | humble(X0)) <=> generous... | 0 |
Everyone who is quiet or funny is not brave or not strong and vice versa.
Everyone who is not patient is happy or not wise and vice versa.
If someone is either curious or quiet then someone is both wise and not happy and vice versa.
Everyone who is either not wise or funny is either creative or not funny and vice versa... | Susan is happy. | neutral | (![X]:((quiet(X)|funny(X))<=>(~brave(X)|~strong(X))))&
(![X]:(~patient(X)<=>(happy(X)|~wise(X))))&
((?[X]:((curious(X)<~>quiet(X))))<=>(?[X]:((wise(X)&~happy(X)))))&
(![X]:((~wise(X)<~>funny(X))<=>(creative(X)<~>~funny(X))))&
((wise(paul))<=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:((~humble(X)<~>funny(X))=>(~creative(X... | happy(susan) | [] | null | 0 |
Everyone who is not tall is calm or patient. If someone is humble or not brave then someone is both funny and not patient and vice versa. If john is either generous or not calm then someone is happy. If alice is not kind or not brave then someone is both happy and brave. Everyone who is both not funny and not brave is ... | John is not old. | entailment | (![X]:(~tall(X)=>(calm(X)|patient(X))))&
((?[X]:((humble(X)|~brave(X))))<=>(?[X]:((funny(X)&~patient(X)))))&
(((generous(john)<~>~calm(john)))=>(?[X]:(happy(X))))&
(((~kind(alice)|~brave(alice)))=>(?[X]:((happy(X)&brave(X)))))&
(![X]:((~funny(X)&~brave(X))=>(patient(X)|kind(X))))&
(![X]:((~old(X)&~calm(X))<=>(humble(X)... | ~old(john) | [
"p5",
"p6",
"p9",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 355045655561918379614615
% SZS output start Proof for 355045655561918379614615
6. ! [X0] : ((~calm(X0) & ~old(X0)) <=> (brave(X0) | humble(X0))) [input p5]
7. ! [X0] : (strong(X0) <=> ~rich(X0)) [input p6]
10. humble(john) <=> humble(lucy) [input p9]
13. ! [X0] : ((~humble(X0) | brave(X0)... | 0 |
If fred is both generous and wise then alice is either not curious or happy and vice versa. Everyone who is both creative and quiet is quiet or happy and vice versa. If susan is either creative or not rich then lucy is both kind and not brave and vice versa. Everyone who is either not rich or funny is both patient and ... | Susan is not generous. | neutral | (((generous(fred)&wise(fred)))<=>((~curious(alice)<~>happy(alice))))&
(![X]:((creative(X)&quiet(X))<=>(quiet(X)|happy(X))))&
(((creative(susan)<~>~rich(susan)))<=>((kind(lucy)&~brave(lucy))))&
(![X]:((~rich(X)<~>funny(X))<=>(patient(X)&~patient(X))))&
(![X]:((~kind(X)|funny(X))<=>(~brave(X)&~patient(X))))&
((?[X]:((~wi... | ~generous(susan) | [] | null | 0 |
Everyone who is not kind is both humble and strong and vice versa.
Everyone who is not curious or strong is wise and vice versa.
Everyone who is both not brave and not patient is brave or humble and vice versa.
If someone is strong or not funny then someone is not happy or not brave and vice versa.
Everyone who is eith... | Susan is curious. | contradiction | (![X]:(~kind(X)<=>(humble(X)&strong(X))))&
(![X]:((~curious(X)|strong(X))<=>wise(X)))&
(![X]:((~brave(X)&~patient(X))<=>(brave(X)|humble(X))))&
((?[X]:((strong(X)|~funny(X))))<=>(?[X]:((~happy(X)|~brave(X)))))&
(![X]:((curious(X)<~>~funny(X))<=>(kind(X)<~>~brave(X))))&
(![X]:((patient(X)&~old(X))<=>(~patient(X)&funny(X... | curious(susan) | [
"p0",
"p2",
"p4",
"p5",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3680120631558987202321930
% SZS output start Proof for 3680120631558987202321930
1. ! [X0] : (~kind(X0) <=> (strong(X0) & humble(X0))) [input p0]
3. ! [X0] : ((~patient(X0) & ~brave(X0)) <=> (humble(X0) | brave(X0))) [input p2]
5. ! [X0] : ((curious(X0) <~> ~funny(X0)) <=> (kind(X0) <~> ~... | 0 |
Everyone who is either not old or funny is brave or quiet. Everyone who is not wise or happy is both creative and wise. If someone is rich or not creative then someone is not curious or old. If susan is both not curious and happy then someone is both not rich and not tall and vice versa. If someone is either wise or qu... | Mary is creative. | contradiction | (![X]:((~old(X)<~>funny(X))=>(brave(X)|quiet(X))))&
(![X]:((~wise(X)|happy(X))=>(creative(X)&wise(X))))&
((?[X]:((rich(X)|~creative(X))))=>(?[X]:((~curious(X)|old(X)))))&
(((~curious(susan)&happy(susan)))<=>(?[X]:((~rich(X)&~tall(X)))))&
((?[X]:((wise(X)<~>quiet(X))))<=>((creative(paul)&~creative(paul))))&
(((~humble(s... | creative(mary) | [
"p1",
"p4",
"p10",
"p11",
"p13",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4491192503369669271767549
% SZS output start Proof for 4491192503369669271767549
2. ! [X0] : ((happy(X0) | ~wise(X0)) => (wise(X0) & creative(X0))) [input p1]
5. ? [X0] : (wise(X0) <~> quiet(X0)) <=> (~creative(paul) & creative(paul)) [input p4]
11. ? [X0] : (generous(X0) <~> ~quiet(X0)) ... | 0 |
If someone is either not kind or not humble then someone is calm or not rich and vice versa.
Everyone who is generous or not happy is both calm and not creative and vice versa.
Everyone who is either quiet or not calm is both funny and creative and vice versa.
If fred is both funny and humble then fred is creative.
Eve... | John is not curious. | entailment | ((?[X]:((~kind(X)<~>~humble(X))))<=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~creat... | ~curious(john) | [
"p1",
"p2",
"p5",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1646547208538447047481253
% SZS output start Proof for 1646547208538447047481253
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p1]
3. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (creative(X0) & funny(X0))) [input p2]
6. ? [X0] : (generous(X0) <~> ~rich(X0)) =... | 0 |
Everyone who is either kind or creative is curious or not humble. Everyone who is both calm and brave is curious or not happy. Everyone who is not funny or wise is curious or not kind and vice versa. Everyone who is strong is both patient and not rich. If someone is both tall and patient then someone is not strong. Eve... | Paul is kind. | entailment | (![X]:((kind(X)<~>creative(X))=>(curious(X)|~humble(X))))&
(![X]:((calm(X)&brave(X))=>(curious(X)|~happy(X))))&
(![X]:((~funny(X)|wise(X))<=>(curious(X)|~kind(X))))&
(![X]:(strong(X)=>(patient(X)&~rich(X))))&
((?[X]:((tall(X)&patient(X))))=>(?[X]:(~strong(X))))&
(![X]:((patient(X)|~humble(X))=>(~patient(X)&tall(X))))&
... | kind(paul) | [
"p3",
"p5",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2963854280278194108587720
% SZS output start Proof for 2963854280278194108587720
4. ! [X0] : (strong(X0) => (~rich(X0) & patient(X0))) [input p3]
6. ! [X0] : ((~humble(X0) | patient(X0)) => (tall(X0) & ~patient(X0))) [input p5]
8. ! [X0] : ((happy(X0) <~> strong(X0)) => (~happy(X0) <~> pa... | 0 |
Everyone who is not kind is not creative.
Everyone who is old is not patient.
If susan is not kind or patient then someone is not funny or humble.
Everyone who is both quiet and kind is either old or not old and vice versa.
Everyone who is either not generous or not patient is not kind.
If paul is generous then susan i... | Susan is not humble. | neutral | (![X]:(~kind(X)=>~creative(X)))&
(![X]:(old(X)=>~patient(X)))&
(((~kind(susan)|patient(susan)))=>(?[X]:((~funny(X)|humble(X)))))&
(![X]:((quiet(X)&kind(X))<=>(old(X)<~>~old(X))))&
(![X]:((~generous(X)<~>~patient(X))=>~kind(X)))&
((generous(paul))<=>((tall(susan)&generous(susan))))&
((?[X]:((~funny(X)<~>~brave(X))))<=>(... | ~humble(susan) | [] | null | 0 |
If someone is curious or not old then someone is not strong or not happy and vice versa.
Everyone who is quiet or curious is both not curious and calm.
Everyone who is both not quiet and not tall is not strong or not curious and vice versa.
Everyone who is both wise and not patient is either not wise or quiet.
If lucy ... | Mary is curious. | contradiction | ((?[X]:((curious(X)|~old(X))))<=>(?[X]:((~strong(X)|~happy(X)))))&
(![X]:((quiet(X)|curious(X))=>(~curious(X)&calm(X))))&
(![X]:((~quiet(X)&~tall(X))<=>(~strong(X)|~curious(X))))&
(![X]:((wise(X)&~patient(X))=>(~wise(X)<~>quiet(X))))&
(((patient(lucy)<~>~old(lucy)))=>(?[X]:((~funny(X)|curious(X)))))&
((?[X]:(wise(X)))<... | curious(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7424082021310761317403620
% SZS output start Proof for 7424082021310761317403620
2. ! [X0] : ((curious(X0) | quiet(X0)) => (calm(X0) & ~curious(X0))) [input p1]
23. curious(mary) [input hypothesis]
25. ! [X0] : ((calm(X0) & ~curious(X0)) | (~curious(X0) & ~quiet(X0))) [ennf transformation... | 0 |
If someone is both not creative and not calm then someone is quiet or not curious and vice versa.
Everyone who is not calm is rich or strong.
Everyone who is quiet or not wise is not wise or not funny.
If john is not creative or not generous then someone is not rich or not quiet and vice versa.
If someone is strong the... | Alice is not strong. | neutral | ((?[X]:((~creative(X)&~calm(X))))<=>(?[X]:((quiet(X)|~curious(X)))))&
(![X]:(~calm(X)=>(rich(X)|strong(X))))&
(![X]:((quiet(X)|~wise(X))=>(~wise(X)|~funny(X))))&
(((~creative(john)|~generous(john)))<=>(?[X]:((~rich(X)|~quiet(X)))))&
((?[X]:(strong(X)))<=>((~quiet(paul)|~curious(paul))))&
((?[X]:((old(X)|kind(X))))=>(?[... | ~strong(alice) | [] | null | 0 |
Everyone who is both not quiet and creative is both not funny and strong.
Everyone who is either not curious or not creative is either not curious or wise.
Everyone who is not strong is either not tall or not wise and vice versa.
If someone is not wise or not old then paul is quiet or brave.
If someone is old or curiou... | Fred is patient. | entailment | (![X]:((~quiet(X)&creative(X))=>(~funny(X)&strong(X))))&
(![X]:((~curious(X)<~>~creative(X))=>(~curious(X)<~>wise(X))))&
(![X]:(~strong(X)<=>(~tall(X)<~>~wise(X))))&
((?[X]:((~wise(X)|~old(X))))=>((quiet(paul)|brave(paul))))&
((?[X]:((old(X)|curious(X))))<=>((~calm(mary)<~>old(mary))))&
(((~kind(susan)<~>calm(susan)))<... | patient(fred) | [
"p7",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8611135893256021306317954
% SZS output start Proof for 8611135893256021306317954
8. ! [X0] : ((~strong(X0) & ~patient(X0)) <=> (generous(X0) <~> ~brave(X0))) [input p7]
15. ! [X0] : (~strong(X0) => generous(X0)) [input p14]
16. (calm(susan) & ~calm(susan)) <=> ? [X0] : strong(X0) [input p... | 0 |
If lucy is either brave or quiet then paul is tall.
Everyone who is not humble or not tall is not rich or kind and vice versa.
If lucy is curious or not funny then someone is not strong or not quiet and vice versa.
Everyone who is both funny and not patient is not happy and vice versa.
Everyone who is rich is either ki... | Paul is humble. | contradiction | (((brave(lucy)<~>quiet(lucy)))=>(tall(paul)))&
(![X]:((~humble(X)|~tall(X))<=>(~rich(X)|kind(X))))&
(((curious(lucy)|~funny(lucy)))<=>(?[X]:((~strong(X)|~quiet(X)))))&
(![X]:((funny(X)&~patient(X))<=>~happy(X)))&
(![X]:(rich(X)=>(kind(X)<~>~humble(X))))&
(![X]:((strong(X)|generous(X))=>~funny(X)))&
(![X]:((~patient(X)|... | humble(paul) | [
"p1",
"p3",
"p5",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3033306935453861778442277
% SZS output start Proof for 3033306935453861778442277
2. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (kind(X0) | ~rich(X0))) [input p1]
4. ! [X0] : ((~patient(X0) & funny(X0)) <=> ~happy(X0)) [input p3]
6. ! [X0] : ((generous(X0) | strong(X0)) => ~funny(X0)) [input ... | 0 |
Everyone who is brave is either not kind or creative.
Everyone who is either wise or not rich is strong or not calm and vice versa.
Everyone who is humble is both patient and not quiet.
Everyone who is both not happy and rich is both happy and not old.
If someone is either not brave or not generous then mary is not fun... | Lucy is not curious. | entailment | (![X]:(brave(X)=>(~kind(X)<~>creative(X))))&
(![X]:((wise(X)<~>~rich(X))<=>(strong(X)|~calm(X))))&
(![X]:(humble(X)=>(patient(X)&~quiet(X))))&
(![X]:((~happy(X)&rich(X))=>(happy(X)&~old(X))))&
((?[X]:((~brave(X)<~>~generous(X))))=>((~funny(mary)|brave(mary))))&
(![X]:((creative(X)|~tall(X))<=>(old(X)<~>calm(X))))&
(![X... | ~curious(lucy) | [
"p5",
"p6",
"p9",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 647711013063634925856062
% SZS output start Proof for 647711013063634925856062
6. ! [X0] : ((~tall(X0) | creative(X0)) <=> (old(X0) <~> calm(X0))) [input p5]
7. ! [X0] : ((wise(X0) & ~curious(X0)) <=> (funny(X0) <~> calm(X0))) [input p6]
10. ! [X0] : ((tall(X0) <~> ~tall(X0)) <=> (~old(X0... | 0 |
If paul is either not funny or humble then alice is both not creative and strong.
Everyone who is not tall is both not quiet and creative.
If susan is not tall or brave then fred is brave or not creative.
If lucy is both not brave and creative then someone is either not brave or calm and vice versa.
If someone is rich ... | Fred is not tall. | contradiction | (((~funny(paul)<~>humble(paul)))=>((~creative(alice)&strong(alice))))&
(![X]:(~tall(X)=>(~quiet(X)&creative(X))))&
(((~tall(susan)|brave(susan)))=>((brave(fred)|~creative(fred))))&
(((~brave(lucy)&creative(lucy)))<=>(?[X]:((~brave(X)<~>calm(X)))))&
((?[X]:(rich(X)))<=>((~brave(lucy)<~>~kind(lucy))))&
((?[X]:((generous(... | ~tall(fred) | [
"p1",
"p3",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 271321437373568004718020
% SZS output start Proof for 271321437373568004718020
2. ! [X0] : (~tall(X0) => (creative(X0) & ~quiet(X0))) [input p1]
4. (creative(lucy) & ~brave(lucy)) <=> ? [X0] : (~brave(X0) <~> calm(X0)) [input p3]
11. ! [X0] : ((strong(X0) | ~brave(X0)) <=> (~quiet(X0) & b... | 0 |
If mary is both not curious and happy then someone is not calm and vice versa.
If susan is either not quiet or patient then paul is both not quiet and strong and vice versa.
Everyone who is either curious or not rich is both not old and not rich and vice versa.
If someone is either not rich or not humble then fred is e... | Mary is not wise. | contradiction | (((~curious(mary)&happy(mary)))<=>(?[X]:(~calm(X))))&
(((~quiet(susan)<~>patient(susan)))<=>((~quiet(paul)&strong(paul))))&
(![X]:((curious(X)<~>~rich(X))<=>(~old(X)&~rich(X))))&
((?[X]:((~rich(X)<~>~humble(X))))<=>((humble(fred)<~>kind(fred))))&
(((~generous(mary)|~brave(mary)))<=>(?[X]:((~wise(X)<~>~old(X)))))&
((hum... | ~wise(mary) | [
"p7",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5966428207111184528449753
% SZS output start Proof for 5966428207111184528449753
8. ! [X0] : (~creative(X0) <=> (creative(X0) | ~tall(X0))) [input p7]
15. ! [X0] : (~wise(X0) <=> (kind(X0) & ~humble(X0))) [input p14]
18. kind(mary) <~> ~tall(mary) [input p17]
21. ~wise(mary) [input hypoth... | 0 |
Everyone who is kind is both calm and not kind.
Everyone who is creative or generous is not rich or not happy.
Everyone who is brave is not kind or creative and vice versa.
If susan is patient or calm then susan is both creative and not funny.
Everyone who is calm is both calm and brave.
Everyone who is either not wise... | Susan is not kind. | entailment | (![X]:(kind(X)=>(calm(X)&~kind(X))))&
(![X]:((creative(X)|generous(X))=>(~rich(X)|~happy(X))))&
(![X]:(brave(X)<=>(~kind(X)|creative(X))))&
(((patient(susan)|calm(susan)))=>((creative(susan)&~funny(susan))))&
(![X]:(calm(X)=>(calm(X)&brave(X))))&
(![X]:((~wise(X)<~>wise(X))<=>(~generous(X)<~>~kind(X))))&
(((~patient(su... | ~kind(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5036595865181663532589163
% SZS output start Proof for 5036595865181663532589163
1. ! [X0] : (kind(X0) => (~kind(X0) & calm(X0))) [input p0]
22. kind(susan) [input hypothesis]
24. ! [X0] : ((~kind(X0) & calm(X0)) | ~kind(X0)) [ennf transformation 1]
66. ~kind(X0) | ~kind(X0) [cnf transfor... | 0 |
Everyone who is rich or not rich is not curious or curious and vice versa.
Everyone who is either rich or not tall is not tall and vice versa.
If susan is both curious and strong then someone is either not tall or generous and vice versa.
Everyone who is either not kind or kind is either creative or kind.
If someone is... | Fred is not creative. | neutral | (![X]:((rich(X)|~rich(X))<=>(~curious(X)|curious(X))))&
(![X]:((rich(X)<~>~tall(X))<=>~tall(X)))&
(((curious(susan)&strong(susan)))<=>(?[X]:((~tall(X)<~>generous(X)))))&
(![X]:((~kind(X)<~>kind(X))=>(creative(X)<~>kind(X))))&
((?[X]:((quiet(X)&patient(X))))<=>(?[X]:((patient(X)|happy(X)))))&
(![X]:(quiet(X)=>(strong(X)... | ~creative(fred) | [] | null | 0 |
If someone is either kind or not creative then susan is both not tall and wise.
Everyone who is not tall or happy is both not calm and curious and vice versa.
If someone is both not brave and old then john is both calm and rich.
Everyone who is curious is either not funny or not tall and vice versa.
Everyone who is bot... | Susan is not old. | neutral | ((?[X]:((kind(X)<~>~creative(X))))=>((~tall(susan)&wise(susan))))&
(![X]:((~tall(X)|happy(X))<=>(~calm(X)&curious(X))))&
((?[X]:((~brave(X)&old(X))))=>((calm(john)&rich(john))))&
(![X]:(curious(X)<=>(~funny(X)<~>~tall(X))))&
(![X]:((rich(X)&~tall(X))<=>(~funny(X)|kind(X))))&
(![X]:((~old(X)&rich(X))=>(~rich(X)&~curious... | ~old(susan) | [] | null | 0 |
Everyone who is not patient is both rich and brave and vice versa. If mary is both brave and humble then someone is either not funny or generous. Everyone who is not patient or humble is either creative or not humble and vice versa. If mary is both not creative and not quiet then someone is both humble and not curious.... | Fred is rich. | entailment | (![X]:(~patient(X)<=>(rich(X)&brave(X))))&
(((brave(mary)&humble(mary)))=>(?[X]:((~funny(X)<~>generous(X)))))&
(![X]:((~patient(X)|humble(X))<=>(creative(X)<~>~humble(X))))&
(((~creative(mary)&~quiet(mary)))=>(?[X]:((humble(X)&~curious(X)))))&
(((happy(alice)|~old(alice)))=>(?[X]:((~quiet(X)|~patient(X)))))&
(![X]:((ri... | rich(fred) | [
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3546144629746868247282033
% SZS output start Proof for 3546144629746868247282033
14. ! [X0] : ((funny(X0) <~> ~humble(X0)) <=> (rich(X0) | funny(X0))) [input p13]
22. ~old(fred) & ~humble(fred) [input p21]
25. ~rich(fred) [input hypothesis]
60. ! [X0] : ((((humble(X0) | ~funny(X0)) & (~hu... | 0 |
Everyone who is old is quiet or not strong and vice versa.
If mary is both not rich and not funny then mary is either calm or strong.
Everyone who is either not humble or brave is brave.
If someone is wise or not happy then someone is tall and vice versa.
Everyone who is not funny or not quiet is quiet and vice versa.
... | Fred is not curious. | contradiction | (![X]:(old(X)<=>(quiet(X)|~strong(X))))&
(((~rich(mary)&~funny(mary)))=>((calm(mary)<~>strong(mary))))&
(![X]:((~humble(X)<~>brave(X))=>brave(X)))&
((?[X]:((wise(X)|~happy(X))))<=>(?[X]:(tall(X))))&
(![X]:((~funny(X)|~quiet(X))<=>quiet(X)))&
(![X]:((curious(X)&creative(X))<=>(~happy(X)|~tall(X))))&
(![X]:((old(X)&~old(... | ~curious(fred) | [
"p0",
"p4",
"p5",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3531943955070333300536486
% SZS output start Proof for 3531943955070333300536486
1. ! [X0] : (old(X0) <=> (~strong(X0) | quiet(X0))) [input p0]
5. ! [X0] : ((~quiet(X0) | ~funny(X0)) <=> quiet(X0)) [input p4]
6. ! [X0] : ((creative(X0) & curious(X0)) <=> (~tall(X0) | ~happy(X0))) [input p... | 0 |
If susan is both brave and curious then lucy is either not creative or brave. Everyone who is not happy or old is either not brave or not strong and vice versa. If alice is tall then someone is not patient and vice versa. If someone is brave or creative then john is either not brave or calm and vice versa. Everyone who... | Lucy is not brave. | entailment | (((brave(susan)&curious(susan)))=>((~creative(lucy)<~>brave(lucy))))&
(![X]:((~happy(X)|old(X))<=>(~brave(X)<~>~strong(X))))&
((tall(alice))<=>(?[X]:(~patient(X))))&
((?[X]:((brave(X)|creative(X))))<=>((~brave(john)<~>calm(john))))&
(![X]:((~strong(X)|~brave(X))<=>strong(X)))&
(![X]:((calm(X)&old(X))=>~curious(X)))&
(!... | ~brave(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 375938179309960254970001
% SZS output start Proof for 375938179309960254970001
5. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> strong(X0)) [input p4]
21. brave(lucy) [input hypothesis]
49. ! [X0] : (((~brave(X0) | ~strong(X0)) | ~strong(X0)) & (strong(X0) | (brave(X0) & strong(X0)))) [nnf tra... | 0 |
Everyone who is either not generous or humble is not wise.
Everyone who is not funny or brave is generous.
If alice is either rich or not quiet then someone is not tall or curious.
If paul is strong then someone is curious or rich.
If susan is not wise or humble then mary is not generous or kind and vice versa.
If some... | Susan is not tall. | entailment | (![X]:((~generous(X)<~>humble(X))=>~wise(X)))&
(![X]:((~funny(X)|brave(X))=>generous(X)))&
(((rich(alice)<~>~quiet(alice)))=>(?[X]:((~tall(X)|curious(X)))))&
((strong(paul))=>(?[X]:((curious(X)|rich(X)))))&
(((~wise(susan)|humble(susan)))<=>((~generous(mary)|kind(mary))))&
((?[X]:((patient(X)|~strong(X))))=>(?[X]:((ric... | ~tall(susan) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2142850163775398390421761
% SZS output start Proof for 2142850163775398390421761
2. ! [X0] : ((brave(X0) | ~funny(X0)) => generous(X0)) [input p1]
9. ! [X0] : ((tall(X0) | ~brave(X0)) => (~generous(X0) & brave(X0))) [input p8]
23. tall(susan) [input hypothesis]
31. ! [X0] : (generous(X0) ... | 0 |
If someone is brave then someone is calm and vice versa. Everyone who is both humble and patient is either rich or not brave and vice versa. If someone is either not tall or generous then someone is both curious and rich. If someone is both rich and not funny then alice is not happy or not quiet. If susan is rich or qu... | Alice is kind. | entailment | ((?[X]:(brave(X)))<=>(?[X]:(calm(X))))&
(![X]:((humble(X)&patient(X))<=>(rich(X)<~>~brave(X))))&
((?[X]:((~tall(X)<~>generous(X))))=>(?[X]:((curious(X)&rich(X)))))&
((?[X]:((rich(X)&~funny(X))))=>((~happy(alice)|~quiet(alice))))&
(((rich(susan)|quiet(susan)))<=>((~quiet(susan)<~>strong(susan))))&
(![X]:(~wise(X)=>(~wis... | kind(alice) | [
"p1",
"p5",
"p8",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3605550083405252369310528
% SZS output start Proof for 3605550083405252369310528
2. ! [X0] : ((patient(X0) & humble(X0)) <=> (rich(X0) <~> ~brave(X0))) [input p1]
6. ! [X0] : (~wise(X0) => (rich(X0) & ~wise(X0))) [input p5]
9. (kind(fred) | brave(fred)) <=> (old(alice) & kind(alice)) [inp... | 0 |
If mary is not wise then paul is both not calm and not creative and vice versa. Everyone who is not creative or happy is both humble and not humble. 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. Everyo... | Paul is not old. | neutral | ((~wise(mary))<=>((~calm(paul)&~creative(paul))))&
(![X]:((~creative(X)|happy(X))=>(humble(X)&~humble(X))))&
(![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]:((t... | ~old(paul) | [] | null | 0 |
Everyone who is either curious or not calm is curious and vice versa. Everyone who is both funny and not calm is not wise or not curious and vice versa. Everyone who is calm or old is both not humble and quiet. Everyone who is both not rich and not wise is not creative. If someone is either not kind or not tall then pa... | Mary is brave. | contradiction | (![X]:((curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((funny(X)&~calm(X))<=>(~wise(X)|~curious(X))))&
(![X]:((calm(X)|old(X))=>(~humble(X)&quiet(X))))&
(![X]:((~rich(X)&~wise(X))=>~creative(X)))&
((?[X]:((~kind(X)<~>~tall(X))))<=>((tall(paul)|generous(paul))))&
(![X]:((rich(X)|humble(X))=>~patient(X)))&
(![X]:((calm(X)... | brave(mary) | [
"p0",
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4021393948423076787155958
% SZS output start Proof for 4021393948423076787155958
1. ! [X0] : ((curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p0]
3. ! [X0] : ((old(X0) | calm(X0)) => (quiet(X0) & ~humble(X0))) [input p2]
14. ! [X0] : ((~old(X0) & ~quiet(X0)) <=> (calm(X0) <~> ~brave(X... | 0 |
If someone is either creative or not tall then fred is not humble or not generous and vice versa. If someone is old then paul is rich and vice versa. Everyone who is either not wise or not patient is both humble and not rich and vice versa. Everyone who is either not rich or not patient is not calm and vice versa. Ever... | John is not humble. | entailment | ((?[X]:((creative(X)<~>~tall(X))))<=>((~humble(fred)|~generous(fred))))&
((?[X]:(old(X)))<=>(rich(paul)))&
(![X]:((~wise(X)<~>~patient(X))<=>(humble(X)&~rich(X))))&
(![X]:((~rich(X)<~>~patient(X))<=>~calm(X)))&
(![X]:(~quiet(X)=>(~quiet(X)<~>~patient(X))))&
(![X]:((~wise(X)&kind(X))<=>(rich(X)<~>funny(X))))&
(![X]:((ta... | ~humble(john) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2207546694129923916202802
% SZS output start Proof for 2207546694129923916202802
2. ? [X0] : old(X0) <=> rich(paul) [input p1]
3. ! [X0] : ((~wise(X0) <~> ~patient(X0)) <=> (~rich(X0) & humble(X0))) [input p2]
5. ! [X0] : (~quiet(X0) => (~quiet(X0) <~> ~patient(X0))) [input p4]
6. ! [X0] ... | 0 |
Everyone who is quiet is strong or not humble. Everyone who is both not kind and kind is not tall or not happy and vice versa. Everyone who is rich is not happy or not curious. If lucy is not old or creative then alice is happy or calm. Everyone who is either tall or old is not strong and vice versa. If alice is not ta... | Paul is rich. | neutral | (![X]:(quiet(X)=>(strong(X)|~humble(X))))&
(![X]:((~kind(X)&kind(X))<=>(~tall(X)|~happy(X))))&
(![X]:(rich(X)=>(~happy(X)|~curious(X))))&
(((~old(lucy)|creative(lucy)))=>((happy(alice)|calm(alice))))&
(![X]:((tall(X)<~>old(X))<=>~strong(X)))&
((~tall(alice))=>(patient(mary)))&
((kind(fred))<=>(?[X]:((brave(X)<~>quiet(X... | rich(paul) | [] | null | 0 |
If paul is both curious and not quiet then susan is not kind and vice versa.
If someone is either generous or humble then someone is both kind and not funny.
Everyone who is not happy or strong is either not strong or not patient.
Everyone who is not funny is either not patient or strong.
Everyone who is not humble is ... | Fred is not generous. | entailment | (((curious(paul)&~quiet(paul)))<=>(~kind(susan)))&
((?[X]:((generous(X)<~>humble(X))))=>(?[X]:((kind(X)&~funny(X)))))&
(![X]:((~happy(X)|strong(X))=>(~strong(X)<~>~patient(X))))&
(![X]:(~funny(X)=>(~patient(X)<~>strong(X))))&
(![X]:(~humble(X)=>(calm(X)|wise(X))))&
(![X]:(brave(X)=>~creative(X)))&
(![X]:(~happy(X)<=>(~... | ~generous(fred) | [
"p2",
"p3",
"p6",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 582905787307730823284044
% SZS output start Proof for 582905787307730823284044
3. ! [X0] : ((strong(X0) | ~happy(X0)) => (~strong(X0) <~> ~patient(X0))) [input p2]
4. ! [X0] : (~funny(X0) => (~patient(X0) <~> strong(X0))) [input p3]
7. ! [X0] : (~happy(X0) <=> (~calm(X0) | ~strong(X0))) [... | 0 |
If someone is funny then someone is either not creative or not tall and vice versa.
Everyone who is either not strong or not rich is both not funny and happy.
Everyone who is either not funny or not tall is humble.
Everyone who is not quiet or not funny is both humble and not quiet and vice versa.
If someone is not qui... | Paul is brave. | entailment | ((?[X]:(funny(X)))<=>(?[X]:((~creative(X)<~>~tall(X)))))&
(![X]:((~strong(X)<~>~rich(X))=>(~funny(X)&happy(X))))&
(![X]:((~funny(X)<~>~tall(X))=>humble(X)))&
(![X]:((~quiet(X)|~funny(X))<=>(humble(X)&~quiet(X))))&
((?[X]:(~quiet(X)))<=>(~kind(paul)))&
(((quiet(john)<~>~tall(john)))<=>(?[X]:(~quiet(X))))&
((?[X]:((~curi... | brave(paul) | [
"p1",
"p3",
"p4",
"p7",
"p8",
"p10",
"p13",
"p14",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1525370338345043462419173
% SZS output start Proof for 1525370338345043462419173
2. ! [X0] : ((~strong(X0) <~> ~rich(X0)) => (happy(X0) & ~funny(X0))) [input p1]
4. ! [X0] : ((~funny(X0) | ~quiet(X0)) <=> (~quiet(X0) & humble(X0))) [input p3]
5. ? [X0] : ~quiet(X0) <=> ~kind(paul) [input ... | 0 |
If someone is old then mary is either not kind or not curious.
Everyone who is tall is calm and vice versa.
Everyone who is funny is either rich or quiet and vice versa.
Everyone who is not calm is patient and vice versa.
If john is curious or not wise then someone is either patient or rich and vice versa.
Everyone who... | Lucy is old. | entailment | ((?[X]:(old(X)))=>((~kind(mary)<~>~curious(mary))))&
(![X]:(tall(X)<=>calm(X)))&
(![X]:(funny(X)<=>(rich(X)<~>quiet(X))))&
(![X]:(~calm(X)<=>patient(X)))&
(((curious(john)|~wise(john)))<=>(?[X]:((patient(X)<~>rich(X)))))&
(![X]:((~old(X)&~calm(X))=>~quiet(X)))&
(((happy(susan)&humble(susan)))=>(?[X]:((calm(X)|funny(X))... | old(lucy) | [
"p1",
"p3",
"p5",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3688189540513713499341388
% SZS output start Proof for 3688189540513713499341388
2. ! [X0] : (tall(X0) <=> calm(X0)) [input p1]
4. ! [X0] : (~calm(X0) <=> patient(X0)) [input p3]
6. ! [X0] : ((~calm(X0) & ~old(X0)) => ~quiet(X0)) [input p5]
10. ! [X0] : (~tall(X0) <=> (kind(X0) | ~brave(X... | 0 |
Everyone who is not curious or strong is strong and vice versa. Everyone who is not kind is generous. Everyone who is happy is not curious or calm and vice versa. Everyone who is not generous or not rich is either rich or not tall and vice versa. If someone is either not humble or not rich then someone is not calm or r... | Mary is funny. | neutral | (![X]:((~curious(X)|strong(X))<=>strong(X)))&
(![X]:(~kind(X)=>generous(X)))&
(![X]:(happy(X)<=>(~curious(X)|calm(X))))&
(![X]:((~generous(X)|~rich(X))<=>(rich(X)<~>~tall(X))))&
((?[X]:((~humble(X)<~>~rich(X))))=>(?[X]:((~calm(X)|rich(X)))))&
(![X]:((curious(X)&~tall(X))<=>(~tall(X)|curious(X))))&
((~funny(susan))<=>((... | funny(mary) | [] | null | 0 |
If alice is both quiet and creative then fred is rich and vice versa. If someone is happy then john is not funny and vice versa. If paul is either not old or not curious then alice is not quiet. If paul is either not old or quiet then someone is brave or not curious and vice versa. If someone is not strong or quiet the... | Paul is not strong. | entailment | (((quiet(alice)&creative(alice)))<=>(rich(fred)))&
((?[X]:(happy(X)))<=>(~funny(john)))&
(((~old(paul)<~>~curious(paul)))=>(~quiet(alice)))&
(((~old(paul)<~>quiet(paul)))<=>(?[X]:((brave(X)|~curious(X)))))&
((?[X]:((~strong(X)|quiet(X))))<=>((~calm(fred)|wise(fred))))&
(![X]:((~kind(X)<~>~happy(X))<=>(~wise(X)|creative... | ~strong(paul) | [
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6802354018792132681244857
% SZS output start Proof for 6802354018792132681244857
7. ! [X0] : ((kind(X0) <~> ~strong(X0)) <=> (~kind(X0) | patient(X0))) [input p6]
23. ~strong(paul) | ~patient(paul) [input p22]
25. strong(paul) [input hypothesis]
52. ! [X0] : ((((strong(X0) | ~kind(X0)) & ... | 0 |
Everyone who is either not curious or wise is strong and vice versa.
Everyone who is both funny and not quiet is not old and vice versa.
If someone is both not old and not curious then someone is either not calm or not quiet and vice versa.
Everyone who is both wise and happy is patient or not creative and vice versa.
... | Paul is calm. | contradiction | (![X]:((~curious(X)<~>wise(X))<=>strong(X)))&
(![X]:((funny(X)&~quiet(X))<=>~old(X)))&
((?[X]:((~old(X)&~curious(X))))<=>(?[X]:((~calm(X)<~>~quiet(X)))))&
(![X]:((wise(X)&happy(X))<=>(patient(X)|~creative(X))))&
((?[X]:((tall(X)&strong(X))))=>(?[X]:(~generous(X))))&
((?[X]:((~old(X)|brave(X))))<=>(?[X]:(generous(X))))&... | calm(paul) | [
"p1",
"p2",
"p5",
"p9",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5693220997260408156853623
% SZS output start Proof for 5693220997260408156853623
2. ! [X0] : ((~quiet(X0) & funny(X0)) <=> ~old(X0)) [input p1]
3. ? [X0] : (~curious(X0) & ~old(X0)) <=> ? [X0] : (~calm(X0) <~> ~quiet(X0)) [input p2]
6. ? [X0] : (brave(X0) | ~old(X0)) <=> ? [X0] : generous... | 0 |
If someone is funny or calm then someone is either humble or curious and vice versa.
If someone is both quiet and strong then paul is both not tall and not wise and vice versa.
If susan is both not rich and funny then someone is either not calm or quiet.
Everyone who is tall or rich is quiet or not tall and vice versa.... | Susan is not tall. | neutral | ((?[X]:((funny(X)|calm(X))))<=>(?[X]:((humble(X)<~>curious(X)))))&
((?[X]:((quiet(X)&strong(X))))<=>((~tall(paul)&~wise(paul))))&
(((~rich(susan)&funny(susan)))=>(?[X]:((~calm(X)<~>quiet(X)))))&
(![X]:((tall(X)|rich(X))<=>(quiet(X)|~tall(X))))&
(![X]:((~generous(X)&creative(X))=>(~old(X)|wise(X))))&
(![X]:((brave(X)&pa... | ~tall(susan) | [] | null | 0 |
Everyone who is funny is not rich and vice versa.
Everyone who is not generous is either not patient or not strong and vice versa.
If someone is both tall and not calm then alice is both strong and old.
If alice is both kind and not tall then john is both not rich and not generous and vice versa.
If someone is not stro... | Alice is not patient. | entailment | (![X]:(funny(X)<=>~rich(X)))&
(![X]:(~generous(X)<=>(~patient(X)<~>~strong(X))))&
((?[X]:((tall(X)&~calm(X))))=>((strong(alice)&old(alice))))&
(((kind(alice)&~tall(alice)))<=>((~rich(john)&~generous(john))))&
((?[X]:((~strong(X)|~calm(X))))<=>(rich(alice)))&
(![X]:(generous(X)=>(rich(X)|~generous(X))))&
(((creative(luc... | ~patient(alice) | [
"p1",
"p4",
"p5",
"p8",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5393804825349673985176825
% SZS output start Proof for 5393804825349673985176825
2. ! [X0] : (~generous(X0) <=> (~patient(X0) <~> ~strong(X0))) [input p1]
5. ? [X0] : (~calm(X0) | ~strong(X0)) <=> rich(alice) [input p4]
6. ! [X0] : (generous(X0) => (~generous(X0) | rich(X0))) [input p5]
9... | 0 |
Everyone who is both not humble and humble is brave or patient.
If someone is both happy and not kind then someone is not brave.
If someone is both calm and quiet then mary is either not old or not curious.
If someone is both not strong and not humble then someone is either not calm or not wise and vice versa.
If someo... | Lucy is old. | neutral | (![X]:((~humble(X)&humble(X))=>(brave(X)|patient(X))))&
((?[X]:((happy(X)&~kind(X))))=>(?[X]:(~brave(X))))&
((?[X]:((calm(X)&quiet(X))))=>((~old(mary)<~>~curious(mary))))&
((?[X]:((~strong(X)&~humble(X))))<=>(?[X]:((~calm(X)<~>~wise(X)))))&
((?[X]:((calm(X)&~brave(X))))=>(?[X]:((~curious(X)|quiet(X)))))&
(((rich(paul)|... | old(lucy) | [] | null | 0 |
Everyone who is not calm or strong is both curious and not old and vice versa.
Everyone who is both wise and calm is not old and vice versa.
Everyone who is both tall and not generous is both not rich and not quiet and vice versa.
Everyone who is either not creative or not old is not brave or tall.
If someone is patien... | Lucy is not wise. | entailment | (![X]:((~calm(X)|strong(X))<=>(curious(X)&~old(X))))&
(![X]:((wise(X)&calm(X))<=>~old(X)))&
(![X]:((tall(X)&~generous(X))<=>(~rich(X)&~quiet(X))))&
(![X]:((~creative(X)<~>~old(X))=>(~brave(X)|tall(X))))&
((?[X]:(patient(X)))<=>(?[X]:((kind(X)|~happy(X)))))&
((?[X]:((~rich(X)|wise(X))))=>((strong(fred)|tall(fred))))&
(!... | ~wise(lucy) | [
"p0",
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4932357856239732760147624
% SZS output start Proof for 4932357856239732760147624
1. ! [X0] : ((strong(X0) | ~calm(X0)) <=> (~old(X0) & curious(X0))) [input p0]
2. ! [X0] : ((calm(X0) & wise(X0)) <=> ~old(X0)) [input p1]
7. ! [X0] : ((old(X0) & creative(X0)) <=> (creative(X0) | ~creative(X... | 0 |
Everyone who is not rich or wise is both calm and rich and vice versa.
Everyone who is not happy or quiet is both kind and not kind.
If someone is calm or creative then someone is both calm and happy and vice versa.
Everyone who is not happy is quiet and vice versa.
Everyone who is generous is not calm or quiet and vic... | Susan is not strong. | contradiction | (![X]:((~rich(X)|wise(X))<=>(calm(X)&rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(kind(X)&~kind(X))))&
((?[X]:((calm(X)|creative(X))))<=>(?[X]:((calm(X)&happy(X)))))&
(![X]:(~happy(X)<=>quiet(X)))&
(![X]:(generous(X)<=>(~calm(X)|quiet(X))))&
((?[X]:((humble(X)|~humble(X))))<=>((tall(lucy)|~creative(lucy))))&
(![X]:((~funn... | ~strong(susan) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7371459984222362592653133
% SZS output start Proof for 7371459984222362592653133
2. ! [X0] : ((quiet(X0) | ~happy(X0)) => (~kind(X0) & kind(X0))) [input p1]
12. ! [X0] : (~strong(X0) <=> (~brave(X0) & ~happy(X0))) [input p11]
25. ~strong(susan) [input hypothesis]
27. ! [X0] : ((~kind(X0) ... | 0 |
If fred is both not rich and brave then alice is calm or wise and vice versa. Everyone who is not calm is either not kind or happy and vice versa. If john is patient then someone is both quiet and not humble and vice versa. Everyone who is both quiet and not kind is not kind. If alice is either not rich or brave then f... | Lucy is not curious. | entailment | (((~rich(fred)&brave(fred)))<=>((calm(alice)|wise(alice))))&
(![X]:(~calm(X)<=>(~kind(X)<~>happy(X))))&
((patient(john))<=>(?[X]:((quiet(X)&~humble(X)))))&
(![X]:((quiet(X)&~kind(X))=>~kind(X)))&
(((~rich(alice)<~>brave(alice)))=>((~old(fred)&~humble(fred))))&
((?[X]:((~old(X)&~quiet(X))))<=>(?[X]:((~calm(X)<~>humble(X... | ~curious(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6138890145399856660853279
% SZS output start Proof for 6138890145399856660853279
14. ! [X0] : ((curious(X0) <~> strong(X0)) <=> strong(X0)) [input p13]
25. curious(lucy) [input hypothesis]
64. ! [X0] : ((((~strong(X0) | ~curious(X0)) & (strong(X0) | curious(X0))) | ~strong(X0)) & (strong(... | 0 |
If someone is humble or not funny then someone is either rich or not old. Everyone who is either not tall or not wise is either old or calm. Everyone who is either brave or not creative is both funny and kind and vice versa. Everyone who is curious or not curious is either not wise or not brave. Everyone who is either ... | Fred is happy. | contradiction | ((?[X]:((humble(X)|~funny(X))))=>(?[X]:((rich(X)<~>~old(X)))))&
(![X]:((~tall(X)<~>~wise(X))=>(old(X)<~>calm(X))))&
(![X]:((brave(X)<~>~creative(X))<=>(funny(X)&kind(X))))&
(![X]:((curious(X)|~curious(X))=>(~wise(X)<~>~brave(X))))&
(![X]:((happy(X)<~>humble(X))=>(patient(X)|~rich(X))))&
((?[X]:((happy(X)&~rich(X))))<=>... | happy(fred) | [
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6287751246855241400255820
% SZS output start Proof for 6287751246855241400255820
12. ! [X0] : ((happy(X0) & ~creative(X0)) <=> (~calm(X0) <~> ~creative(X0))) [input p11]
19. ~calm(fred) & quiet(fred) [input p18]
25. happy(fred) [input hypothesis]
68. ! [X0] : (((happy(X0) & ~creative(X0))... | 0 |
Everyone who is not humble or strong is old and vice versa.
Everyone who is calm or rich is quiet or happy and vice versa.
Everyone who is either patient or not humble is either patient or not tall.
Everyone who is funny is both not funny and wise.
Everyone who is quiet or old is not patient.
Everyone who is both not c... | Mary is brave. | contradiction | (![X]:((~humble(X)|strong(X))<=>old(X)))&
(![X]:((calm(X)|rich(X))<=>(quiet(X)|happy(X))))&
(![X]:((patient(X)<~>~humble(X))=>(patient(X)<~>~tall(X))))&
(![X]:(funny(X)=>(~funny(X)&wise(X))))&
(![X]:((quiet(X)|old(X))=>~patient(X)))&
(![X]:((~curious(X)&creative(X))<=>(happy(X)|~wise(X))))&
(![X]:((~quiet(X)&~old(X))=>... | brave(mary) | [
"p0",
"p4",
"p5",
"p9",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3800954439249773187159215
% SZS output start Proof for 3800954439249773187159215
1. ! [X0] : ((strong(X0) | ~humble(X0)) <=> old(X0)) [input p0]
5. ! [X0] : ((old(X0) | quiet(X0)) => ~patient(X0)) [input p4]
6. ! [X0] : ((creative(X0) & ~curious(X0)) <=> (~wise(X0) | happy(X0))) [input p5... | 0 |
If mary is humble or not humble then someone is funny or not humble.
If lucy is both not creative and not strong then someone is not rich or generous and vice versa.
Everyone who is either generous or not generous is both brave and not generous and vice versa.
Everyone who is not patient or not tall is either generous ... | Paul is not brave. | contradiction | (((humble(mary)|~humble(mary)))=>(?[X]:((funny(X)|~humble(X)))))&
(((~creative(lucy)&~strong(lucy)))<=>(?[X]:((~rich(X)|generous(X)))))&
(![X]:((generous(X)<~>~generous(X))<=>(brave(X)&~generous(X))))&
(![X]:((~patient(X)|~tall(X))<=>(generous(X)<~>~quiet(X))))&
((~patient(john))<=>(calm(lucy)))&
(![X]:((~calm(X)|patie... | ~brave(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 8220709813898247464618249
% SZS output start Proof for 8220709813898247464618249
3. ! [X0] : ((generous(X0) <~> ~generous(X0)) <=> (~generous(X0) & brave(X0))) [input p2]
23. ~brave(paul) [input hypothesis]
42. ! [X0] : ((((generous(X0) | ~generous(X0)) & (~generous(X0) | generous(X0))) |... | 0 |
If someone is either old or not rich then someone is not old.
If someone is creative then paul is both not tall and not kind.
If someone is both old and funny then someone is either not tall or not wise and vice versa.
If someone is both not wise and strong then paul is generous or curious.
Everyone who is both not ric... | Alice is not old. | neutral | ((?[X]:((old(X)<~>~rich(X))))=>(?[X]:(~old(X))))&
((?[X]:(creative(X)))=>((~tall(paul)&~kind(paul))))&
((?[X]:((old(X)&funny(X))))<=>(?[X]:((~tall(X)<~>~wise(X)))))&
((?[X]:((~wise(X)&strong(X))))=>((generous(paul)|curious(paul))))&
(![X]:((~rich(X)&funny(X))<=>(~happy(X)<~>creative(X))))&
((~kind(susan))<=>(?[X]:((hap... | ~old(alice) | [] | null | 0 |
Everyone who is quiet is not creative or happy and vice versa. Everyone who is not humble is both not calm and not wise. If someone is old then susan is both kind and not quiet and vice versa. Everyone who is either not calm or not patient is both not generous and quiet and vice versa. Everyone who is kind is both humb... | Lucy is quiet. | entailment | (![X]:(quiet(X)<=>(~creative(X)|happy(X))))&
(![X]:(~humble(X)=>(~calm(X)&~wise(X))))&
((?[X]:(old(X)))<=>((kind(susan)&~quiet(susan))))&
(![X]:((~calm(X)<~>~patient(X))<=>(~generous(X)&quiet(X))))&
(![X]:(kind(X)=>(humble(X)&strong(X))))&
(((rich(susan)&creative(susan)))=>(?[X]:((~strong(X)|creative(X)))))&
((?[X]:((b... | quiet(lucy) | [
"p0",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6655887481815233735427258
% SZS output start Proof for 6655887481815233735427258
1. ! [X0] : (quiet(X0) <=> (happy(X0) | ~creative(X0))) [input p0]
17. brave(lucy) & happy(lucy) [input p16]
24. ~quiet(lucy) [input hypothesis]
37. ! [X0] : ((quiet(X0) | (~happy(X0) & creative(X0))) & ((hap... | 0 |
Everyone who is either not creative or not old is patient.
If someone is tall then someone is kind and vice versa.
Everyone who is humble or rich is either not strong or not happy.
Everyone who is either not generous or not creative is strong or wise and vice versa.
Everyone who is curious is not wise and vice versa.
E... | John is rich. | entailment | (![X]:((~creative(X)<~>~old(X))=>patient(X)))&
((?[X]:(tall(X)))<=>(?[X]:(kind(X))))&
(![X]:((humble(X)|rich(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((~generous(X)<~>~creative(X))<=>(strong(X)|wise(X))))&
(![X]:(curious(X)<=>~wise(X)))&
(![X]:((~old(X)&kind(X))=>(rich(X)&curious(X))))&
((?[X]:(~old(X)))=>((~curious(alic... | rich(john) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3382412967652515038276719
% SZS output start Proof for 3382412967652515038276719
1. ! [X0] : ((~creative(X0) <~> ~old(X0)) => patient(X0)) [input p0]
4. ! [X0] : ((~generous(X0) <~> ~creative(X0)) <=> (wise(X0) | strong(X0))) [input p3]
5. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p4]
7... | 0 |
Everyone who is both creative and not brave is both tall and not curious and vice versa. Everyone who is both not kind and funny is happy or not creative. Everyone who is both funny and creative is both not tall and generous. If someone is creative or kind then fred is not calm. Everyone who is both not old and not hap... | Alice is not humble. | neutral | (![X]:((creative(X)&~brave(X))<=>(tall(X)&~curious(X))))&
(![X]:((~kind(X)&funny(X))=>(happy(X)|~creative(X))))&
(![X]:((funny(X)&creative(X))=>(~tall(X)&generous(X))))&
((?[X]:((creative(X)|kind(X))))=>(~calm(fred)))&
(![X]:((~old(X)&~happy(X))<=>(strong(X)|curious(X))))&
(((humble(john)<~>~funny(john)))=>(?[X]:((~hap... | ~humble(alice) | [] | null | 0 |
If fred is old then someone is either kind or strong.
If someone is not strong or not happy then lucy is tall.
Everyone who is quiet is curious or funny and vice versa.
Everyone who is both not wise and not humble is either not strong or not happy and vice versa.
Everyone who is not strong or wise is generous and vice ... | Fred is old. | neutral | ((old(fred))=>(?[X]:((kind(X)<~>strong(X)))))&
((?[X]:((~strong(X)|~happy(X))))=>(tall(lucy)))&
(![X]:(quiet(X)<=>(curious(X)|funny(X))))&
(![X]:((~wise(X)&~humble(X))<=>(~strong(X)<~>~happy(X))))&
(![X]:((~strong(X)|wise(X))<=>generous(X)))&
(((~tall(lucy)|~strong(lucy)))=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:(~bra... | old(fred) | [] | null | 0 |
Everyone who is not generous is both not funny and not rich.
If mary is either not quiet or not brave then someone is either wise or not funny.
Everyone who is both humble and strong is both old and not humble and vice versa.
Everyone who is not generous or not tall is not wise or old and vice versa.
Everyone who is no... | Mary is not curious. | neutral | (![X]:(~generous(X)=>(~funny(X)&~rich(X))))&
(((~quiet(mary)<~>~brave(mary)))=>(?[X]:((wise(X)<~>~funny(X)))))&
(![X]:((humble(X)&strong(X))<=>(old(X)&~humble(X))))&
(![X]:((~generous(X)|~tall(X))<=>(~wise(X)|old(X))))&
(![X]:((~kind(X)|brave(X))=>(~strong(X)<~>~brave(X))))&
(![X]:(~calm(X)=>(~calm(X)&wise(X))))&
(![X]... | ~curious(mary) | [] | null | 0 |
Everyone who is brave is either humble or not patient. Everyone who is rich or quiet is generous or not old and vice versa. If someone is both not generous and not wise then someone is old or not curious. If someone is either funny or not old then john is both humble and not wise. Everyone who is brave is both not tall... | Fred is not humble. | entailment | (![X]:(brave(X)=>(humble(X)<~>~patient(X))))&
(![X]:((rich(X)|quiet(X))<=>(generous(X)|~old(X))))&
((?[X]:((~generous(X)&~wise(X))))=>(?[X]:((old(X)|~curious(X)))))&
((?[X]:((funny(X)<~>~old(X))))=>((humble(john)&~wise(john))))&
(![X]:(brave(X)<=>(~tall(X)&calm(X))))&
(![X]:(~quiet(X)<=>~patient(X)))&
(![X]:((~generous... | ~humble(fred) | [
"p0",
"p4",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 884310662520480158903472
% SZS output start Proof for 884310662520480158903472
1. ! [X0] : (brave(X0) => (humble(X0) <~> ~patient(X0))) [input p0]
5. ! [X0] : (brave(X0) <=> (calm(X0) & ~tall(X0))) [input p4]
15. ! [X0] : ((patient(X0) <~> ~brave(X0)) => (~tall(X0) & ~calm(X0))) [input p1... | 0 |
If fred is both not creative and funny then john is either not brave or not funny and vice versa. If someone is both kind and funny then someone is both patient and not tall. Everyone who is not kind or not creative is both calm and not patient and vice versa. Everyone who is generous or not kind is either not generous... | Alice is not humble. | entailment | (((~creative(fred)&funny(fred)))<=>((~brave(john)<~>~funny(john))))&
((?[X]:((kind(X)&funny(X))))=>(?[X]:((patient(X)&~tall(X)))))&
(![X]:((~kind(X)|~creative(X))<=>(calm(X)&~patient(X))))&
(![X]:((generous(X)|~kind(X))=>(~generous(X)<~>~brave(X))))&
(((kind(alice)&funny(alice)))<=>(~calm(alice)))&
(![X]:((~patient(X)&... | ~humble(alice) | [
"p2",
"p4",
"p5",
"p9",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 683204136955757807226252
% SZS output start Proof for 683204136955757807226252
3. ! [X0] : ((~creative(X0) | ~kind(X0)) <=> (~patient(X0) & calm(X0))) [input p2]
5. (funny(alice) & kind(alice)) <=> ~calm(alice) [input p4]
6. ! [X0] : ((humble(X0) & ~patient(X0)) <=> funny(X0)) [input p5]
... | 0 |
Everyone who is not patient or kind is either not happy or not funny and vice versa.
Everyone who is either tall or not strong is both calm and wise and vice versa.
Everyone who is both strong and not old is either not creative or brave and vice versa.
If susan is both tall and not strong then someone is not tall and v... | Susan is not tall. | contradiction | (![X]:((~patient(X)|kind(X))<=>(~happy(X)<~>~funny(X))))&
(![X]:((tall(X)<~>~strong(X))<=>(calm(X)&wise(X))))&
(![X]:((strong(X)&~old(X))<=>(~creative(X)<~>brave(X))))&
(((tall(susan)&~strong(susan)))<=>(?[X]:(~tall(X))))&
(![X]:((strong(X)<~>~funny(X))<=>(rich(X)&~strong(X))))&
((~brave(mary))<=>((~kind(fred)|quiet(fr... | ~tall(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7298643365840189236586538
% SZS output start Proof for 7298643365840189236586538
4. (~strong(susan) & tall(susan)) <=> ? [X0] : ~tall(X0) [input p3]
25. ~tall(susan) [input hypothesis]
44. ((~strong(susan) & tall(susan)) | ! [X0] : tall(X0)) & (? [X0] : ~tall(X0) | (strong(susan) | ~tall(... | 0 |
If someone is not brave or strong then fred is not humble or not kind and vice versa.
If someone is old or not curious then someone is either tall or not generous.
If alice is both tall and happy then susan is not calm or happy.
Everyone who is happy or brave is tall or not creative and vice versa.
Everyone who is eith... | Paul is not quiet. | neutral | ((?[X]:((~brave(X)|strong(X))))<=>((~humble(fred)|~kind(fred))))&
((?[X]:((old(X)|~curious(X))))=>(?[X]:((tall(X)<~>~generous(X)))))&
(((tall(alice)&happy(alice)))=>((~calm(susan)|happy(susan))))&
(![X]:((happy(X)|brave(X))<=>(tall(X)|~creative(X))))&
(![X]:((~patient(X)<~>funny(X))=>(tall(X)|generous(X))))&
((?[X]:((~... | ~quiet(paul) | [] | null | 0 |
Everyone who is wise is both not calm and old.
If lucy is not rich or not tall then someone is both curious and not patient and vice versa.
Everyone who is not patient or not tall is wise and vice versa.
If someone is brave or not humble then alice is either not old or not happy.
If mary is strong then someone is brave... | John is not curious. | neutral | (![X]:(wise(X)=>(~calm(X)&old(X))))&
(((~rich(lucy)|~tall(lucy)))<=>(?[X]:((curious(X)&~patient(X)))))&
(![X]:((~patient(X)|~tall(X))<=>wise(X)))&
((?[X]:((brave(X)|~humble(X))))=>((~old(alice)<~>~happy(alice))))&
((strong(mary))<=>(?[X]:((brave(X)|~old(X)))))&
(((~generous(paul)|humble(paul)))=>((~generous(alice)|~hap... | ~curious(john) | [] | null | 0 |
Everyone who is either not generous or wise is not tall or quiet. If susan is both rich and strong then susan is either not funny or old. If mary is either not strong or not tall then someone is either not calm or not strong and vice versa. Everyone who is strong is either not old or humble. Everyone who is not creativ... | Paul is generous. | contradiction | (![X]:((~generous(X)<~>wise(X))=>(~tall(X)|quiet(X))))&
(((rich(susan)&strong(susan)))=>((~funny(susan)<~>old(susan))))&
(((~strong(mary)<~>~tall(mary)))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))... | generous(paul) | [
"p4",
"p7",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4516268786057459704715156
% SZS output start Proof for 4516268786057459704715156
5. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~tall(X0) & ~old(X0))) [input p4]
8. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (curious(X0) & ~creative(X0))) [input p7]
9. (tall(paul) | ~generous(paul)) <=> (... | 0 |
Everyone who is either rich or not curious is not funny or not calm and vice versa. Everyone who is not tall or not generous is both tall and curious. Everyone who is either not creative or not patient is kind. Everyone who is quiet or not wise is not calm. If mary is both not kind and not creative then fred is wise or... | Fred is curious. | neutral | (![X]:((rich(X)<~>~curious(X))<=>(~funny(X)|~calm(X))))&
(![X]:((~tall(X)|~generous(X))=>(tall(X)&curious(X))))&
(![X]:((~creative(X)<~>~patient(X))=>kind(X)))&
(![X]:((quiet(X)|~wise(X))=>~calm(X)))&
(((~kind(mary)&~creative(mary)))<=>((wise(fred)|~quiet(fred))))&
((?[X]:(humble(X)))=>(?[X]:((calm(X)&old(X)))))&
((~cr... | curious(fred) | [] | null | 0 |
If lucy is either generous or not old then susan is both rich and not happy and vice versa.
If mary is old then paul is both not humble and not brave.
If someone is humble then susan is not calm and vice versa.
If someone is either not funny or not generous then someone is not calm.
Everyone who is creative or not pati... | Mary is kind. | contradiction | (((generous(lucy)<~>~old(lucy)))<=>((rich(susan)&~happy(susan))))&
((old(mary))=>((~humble(paul)&~brave(paul))))&
((?[X]:(humble(X)))<=>(~calm(susan)))&
((?[X]:((~funny(X)<~>~generous(X))))=>(?[X]:(~calm(X))))&
(![X]:((creative(X)|~patient(X))<=>(generous(X)&~funny(X))))&
((?[X]:((rich(X)|~tall(X))))<=>((~calm(paul)|~t... | kind(mary) | [
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7107171155650707368767649
% SZS output start Proof for 7107171155650707368767649
9. ? [X0] : (humble(X0) | ~brave(X0)) <=> (~kind(mary) & strong(mary)) [input p8]
20. ? [X0] : (humble(X0) & ~generous(X0)) [input p19]
25. kind(mary) [input hypothesis]
55. (? [X0] : (humble(X0) | ~brave(X0)... | 0 |
Everyone who is both not quiet and tall is not rich or curious.
If alice is both not tall and creative then someone is calm and vice versa.
If someone is quiet then someone is either not funny or strong.
Everyone who is both strong and not old is not rich or not happy and vice versa.
Everyone who is both brave and not ... | Mary is not tall. | entailment | (![X]:((~quiet(X)&tall(X))=>(~rich(X)|curious(X))))&
(((~tall(alice)&creative(alice)))<=>(?[X]:(calm(X))))&
((?[X]:(quiet(X)))=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((strong(X)&~old(X))<=>(~rich(X)|~happy(X))))&
(![X]:((brave(X)&~tall(X))<=>(generous(X)|~calm(X))))&
(![X]:((~generous(X)&quiet(X))<=>(generous(X)<~>~... | ~tall(mary) | [
"p1",
"p4",
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2435847315411590722291597
% SZS output start Proof for 2435847315411590722291597
2. (creative(alice) & ~tall(alice)) <=> ? [X0] : calm(X0) [input p1]
5. ! [X0] : ((~tall(X0) & brave(X0)) <=> (~calm(X0) | generous(X0))) [input p4]
6. ! [X0] : ((quiet(X0) & ~generous(X0)) <=> (generous(X0) ... | 0 |
If paul is both tall and calm then someone is creative or not brave.
Everyone who is both not funny and not creative is both brave and not curious.
Everyone who is strong or tall is either not happy or wise.
Everyone who is both brave and kind is not funny or not wise.
If someone is patient then someone is wise.
Everyo... | Alice is not kind. | neutral | (((tall(paul)&calm(paul)))=>(?[X]:((creative(X)|~brave(X)))))&
(![X]:((~funny(X)&~creative(X))=>(brave(X)&~curious(X))))&
(![X]:((strong(X)|tall(X))=>(~happy(X)<~>wise(X))))&
(![X]:((brave(X)&kind(X))=>(~funny(X)|~wise(X))))&
((?[X]:(patient(X)))=>(?[X]:(wise(X))))&
(![X]:((~strong(X)|~kind(X))<=>(~generous(X)&~humble(... | ~kind(alice) | [] | null | 0 |
If someone is patient then lucy is both not creative and not calm.
If someone is both curious and not funny then someone is either not generous or tall and vice versa.
Everyone who is not old or brave is brave and vice versa.
Everyone who is not patient is both not funny and not patient.
If fred is both not wise and ri... | John is not creative. | neutral | ((?[X]:(patient(X)))=>((~creative(lucy)&~calm(lucy))))&
((?[X]:((curious(X)&~funny(X))))<=>(?[X]:((~generous(X)<~>tall(X)))))&
(![X]:((~old(X)|brave(X))<=>brave(X)))&
(![X]:(~patient(X)=>(~funny(X)&~patient(X))))&
(((~wise(fred)&rich(fred)))<=>(?[X]:((kind(X)&~creative(X)))))&
(((~creative(john)|strong(john)))<=>(?[X]:... | ~creative(john) | [] | null | 0 |
Everyone who is either curious or not tall is both not old and not calm and vice versa.
Everyone who is quiet is not calm or generous.
If someone is not quiet or strong then susan is both strong and curious and vice versa.
Everyone who is both not happy and not old is funny and vice versa.
Everyone who is funny or tall... | John is calm. | contradiction | (![X]:((curious(X)<~>~tall(X))<=>(~old(X)&~calm(X))))&
(![X]:(quiet(X)=>(~calm(X)|generous(X))))&
((?[X]:((~quiet(X)|strong(X))))<=>((strong(susan)&curious(susan))))&
(![X]:((~happy(X)&~old(X))<=>funny(X)))&
(![X]:((funny(X)|tall(X))=>(curious(X)&~wise(X))))&
((?[X]:((~curious(X)&calm(X))))=>((~generous(lucy)&~creative... | calm(john) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5190531573001986235699353
% SZS output start Proof for 5190531573001986235699353
23. ~calm(john) [input p22]
25. calm(john) [input hypothesis]
132. ~calm(john) [cnf transformation 23]
135. calm(john) [cnf transformation 25]
313. $false [subsumption resolution 135,132]
% SZS output end Pro... | 0 |
Everyone who is both old and not old is both not quiet and rich and vice versa. Everyone who is not humble or not happy is strong or funny. Everyone who is both calm and funny is happy or strong and vice versa. Everyone who is both not tall and not wise is not old or funny and vice versa. If paul is both not kind and n... | Mary is quiet. | neutral | (![X]:((old(X)&~old(X))<=>(~quiet(X)&rich(X))))&
(![X]:((~humble(X)|~happy(X))=>(strong(X)|funny(X))))&
(![X]:((calm(X)&funny(X))<=>(happy(X)|strong(X))))&
(![X]:((~tall(X)&~wise(X))<=>(~old(X)|funny(X))))&
(((~kind(paul)&~humble(paul)))=>(?[X]:(~calm(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((humble(X)&quiet(X)))))&
(![X]:(h... | quiet(mary) | [] | null | 0 |
Everyone who is not rich is not creative or patient.
Everyone who is both not humble and not generous is either not calm or not kind and vice versa.
If fred is either humble or not old then someone is both generous and not rich and vice versa.
Everyone who is not creative is strong or tall and vice versa.
If someone is... | Alice is wise. | neutral | (![X]:(~rich(X)=>(~creative(X)|patient(X))))&
(![X]:((~humble(X)&~generous(X))<=>(~calm(X)<~>~kind(X))))&
(((humble(fred)<~>~old(fred)))<=>(?[X]:((generous(X)&~rich(X)))))&
(![X]:(~creative(X)<=>(strong(X)|tall(X))))&
((?[X]:((~rich(X)<~>~quiet(X))))<=>(~kind(lucy)))&
(![X]:((~quiet(X)|~tall(X))=>(~kind(X)<~>humble(X))... | wise(alice) | [] | null | 0 |
Everyone who is either happy or strong is funny or not patient. Everyone who is both not brave and not kind is both not curious and patient and vice versa. If someone is not generous then susan is old and vice versa. Everyone who is not funny is not generous or kind. If someone is either quiet or old then someone is ei... | Lucy is brave. | neutral | (![X]:((happy(X)<~>strong(X))=>(funny(X)|~patient(X))))&
(![X]:((~brave(X)&~kind(X))<=>(~curious(X)&patient(X))))&
((?[X]:(~generous(X)))<=>(old(susan)))&
(![X]:(~funny(X)=>(~generous(X)|kind(X))))&
((?[X]:((quiet(X)<~>old(X))))<=>(?[X]:((generous(X)<~>old(X)))))&
(![X]:((patient(X)<~>rich(X))=>(strong(X)|~calm(X))))&
... | brave(lucy) | [] | null | 0 |
Everyone who is both not quiet and not kind is not patient and vice versa.
Everyone who is either tall or old is either not happy or quiet.
If lucy is both not creative and creative then someone is rich.
If alice is both not funny and generous then lucy is not kind or creative.
If mary is both not old and tall then sus... | Mary is not tall. | neutral | (![X]:((~quiet(X)&~kind(X))<=>~patient(X)))&
(![X]:((tall(X)<~>old(X))=>(~happy(X)<~>quiet(X))))&
(((~creative(lucy)&creative(lucy)))=>(?[X]:(rich(X))))&
(((~funny(alice)&generous(alice)))=>((~kind(lucy)|creative(lucy))))&
(((~old(mary)&tall(mary)))<=>((~strong(susan)&~old(susan))))&
(![X]:(wise(X)=>~funny(X)))&
((?[X]... | ~tall(mary) | [] | null | 0 |
Everyone who is both kind and not tall is either not funny or not creative. Everyone who is not strong is kind or not tall and vice versa. If someone is creative or not curious then lucy is either not old or brave and vice versa. Everyone who is both calm and not happy is not generous and vice versa. If someone is not ... | Mary is not quiet. | neutral | (![X]:((kind(X)&~tall(X))=>(~funny(X)<~>~creative(X))))&
(![X]:(~strong(X)<=>(kind(X)|~tall(X))))&
((?[X]:((creative(X)|~curious(X))))<=>((~old(lucy)<~>brave(lucy))))&
(![X]:((calm(X)&~happy(X))<=>~generous(X)))&
((?[X]:((~calm(X)|~patient(X))))=>(?[X]:((creative(X)<~>~humble(X)))))&
(![X]:(~curious(X)=>(brave(X)<~>cre... | ~quiet(mary) | [] | null | 0 |
If lucy is either creative or not brave then someone is both not calm and calm. Everyone who is calm or curious is either not calm or quiet and vice versa. If fred is either not calm or not quiet then someone is both generous and rich and vice versa. Everyone who is not brave or wise is both not old and not calm. If so... | Lucy is not calm. | entailment | (((creative(lucy)<~>~brave(lucy)))=>(?[X]:((~calm(X)&calm(X)))))&
(![X]:((calm(X)|curious(X))<=>(~calm(X)<~>quiet(X))))&
(((~calm(fred)<~>~quiet(fred)))<=>(?[X]:((generous(X)&rich(X)))))&
(![X]:((~brave(X)|wise(X))=>(~old(X)&~calm(X))))&
((?[X]:((kind(X)|~kind(X))))=>(?[X]:((~humble(X)|~quiet(X)))))&
((~humble(mary))<=... | ~calm(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 706447618656706319269980
% SZS output start Proof for 706447618656706319269980
11. ! [X0] : ((funny(X0) | ~funny(X0)) => ~calm(X0)) [input p10]
24. calm(lucy) [input hypothesis]
32. ! [X0] : (~calm(X0) | (~funny(X0) & funny(X0))) [ennf transformation 11]
118. ~calm(X0) | funny(X0) [cnf tr... | 0 |
If someone is not wise or tall then susan is generous or not quiet.
Everyone who is not wise is not patient or tall.
Everyone who is not quiet or humble is either generous or not quiet and vice versa.
If someone is both not old and not creative then someone is both not happy and brave and vice versa.
Everyone who is ta... | Susan is curious. | neutral | ((?[X]:((~wise(X)|tall(X))))=>((generous(susan)|~quiet(susan))))&
(![X]:(~wise(X)=>(~patient(X)|tall(X))))&
(![X]:((~quiet(X)|humble(X))<=>(generous(X)<~>~quiet(X))))&
((?[X]:((~old(X)&~creative(X))))<=>(?[X]:((~happy(X)&brave(X)))))&
(![X]:((tall(X)|happy(X))=>~kind(X)))&
(![X]:((~old(X)|curious(X))=>(funny(X)<~>gener... | curious(susan) | [] | null | 0 |
If someone is creative then someone is tall or creative and vice versa. Everyone who is both patient and not tall is both not calm and not creative. If fred is either curious or not generous then alice is both not happy and patient. If someone is either kind or not kind then someone is both not calm and not generous an... | Paul is not rich. | neutral | ((?[X]:(creative(X)))<=>(?[X]:((tall(X)|creative(X)))))&
(![X]:((patient(X)&~tall(X))=>(~calm(X)&~creative(X))))&
(((curious(fred)<~>~generous(fred)))=>((~happy(alice)&patient(alice))))&
((?[X]:((kind(X)<~>~kind(X))))<=>(?[X]:((~calm(X)&~generous(X)))))&
(![X]:((funny(X)&old(X))<=>(curious(X)|strong(X))))&
(((~old(john... | ~rich(paul) | [] | null | 0 |
Everyone who is either not humble or curious is both wise and not humble.
If someone is generous then mary is not old and vice versa.
If someone is creative then paul is not brave and vice versa.
Everyone who is both not funny and not strong is either quiet or not quiet and vice versa.
Everyone who is happy is not gene... | Fred is tall. | neutral | (![X]:((~humble(X)<~>curious(X))=>(wise(X)&~humble(X))))&
((?[X]:(generous(X)))<=>(~old(mary)))&
((?[X]:(creative(X)))<=>(~brave(paul)))&
(![X]:((~funny(X)&~strong(X))<=>(quiet(X)<~>~quiet(X))))&
(![X]:(happy(X)<=>~generous(X)))&
(![X]:((calm(X)|~quiet(X))<=>(creative(X)&brave(X))))&
((?[X]:((kind(X)&~generous(X))))<=>... | tall(fred) | [] | null | 0 |
Everyone who is either not curious or wise is both funny and not humble and vice versa. Everyone who is tall or brave is not kind. If someone is either generous or kind then alice is either strong or not strong. Everyone who is calm is funny. Everyone who is funny or not wise is either wise or quiet. Everyone who is ei... | John is not humble. | contradiction | (![X]:((~curious(X)<~>wise(X))<=>(funny(X)&~humble(X))))&
(![X]:((tall(X)|brave(X))=>~kind(X)))&
((?[X]:((generous(X)<~>kind(X))))=>((strong(alice)<~>~strong(alice))))&
(![X]:(calm(X)=>funny(X)))&
(![X]:((funny(X)|~wise(X))=>(wise(X)<~>quiet(X))))&
(![X]:((brave(X)<~>old(X))<=>(humble(X)|~tall(X))))&
(![X]:((tall(X)<~>... | ~humble(john) | [
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7037458992179256443481015
% SZS output start Proof for 7037458992179256443481015
10. ! [X0] : ((~generous(X0) & strong(X0)) => ~tall(X0)) [input p9]
16. ! [X0] : ((~generous(X0) & strong(X0)) <=> (wise(X0) | ~humble(X0))) [input p15]
21. tall(john) & ~old(john) [input p20]
25. ~humble(joh... | 0 |
If john is both brave and rich then susan is either humble or not curious.
Everyone who is tall or not generous is both curious and humble.
If susan is both quiet and tall then lucy is not rich.
Everyone who is both creative and not tall is not quiet or not generous.
If susan is both happy and not tall then alice is ri... | Lucy is patient. | entailment | (((brave(john)&rich(john)))=>((humble(susan)<~>~curious(susan))))&
(![X]:((tall(X)|~generous(X))=>(curious(X)&humble(X))))&
(((quiet(susan)&tall(susan)))=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?[X]:((~creative(X)|~wise(X))))=>((~cur... | patient(lucy) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5632561232493285113630249
% SZS output start Proof for 5632561232493285113630249
6. ? [X0] : (~wise(X0) | ~creative(X0)) => (patient(lucy) & ~curious(lucy)) [input p5]
19. ? [X0] : (quiet(X0) & ~wise(X0)) [input p18]
24. ~patient(lucy) [input hypothesis]
32. (patient(lucy) & ~curious(lucy... | 0 |
Everyone who is either rich or not old is not generous or strong and vice versa.
Everyone who is not tall is both not brave and not happy.
Everyone who is both calm and tall is not generous and vice versa.
Everyone who is both not wise and not generous is generous and vice versa.
If someone is both curious and wise the... | John is not wise. | contradiction | (![X]:((rich(X)<~>~old(X))<=>(~generous(X)|strong(X))))&
(![X]:(~tall(X)=>(~brave(X)&~happy(X))))&
(![X]:((calm(X)&tall(X))<=>~generous(X)))&
(![X]:((~wise(X)&~generous(X))<=>generous(X)))&
((?[X]:((curious(X)&wise(X))))<=>(rich(alice)))&
(![X]:(~curious(X)=>(rich(X)<~>humble(X))))&
(![X]:((tall(X)&curious(X))=>(~humbl... | ~wise(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7254610889748240743369943
% SZS output start Proof for 7254610889748240743369943
4. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> generous(X0)) [input p3]
23. ~wise(john) [input hypothesis]
34. ! [X0] : (((~generous(X0) & ~wise(X0)) | ~generous(X0)) & (generous(X0) | (generous(X0) | wise(X0))... | 0 |
Everyone who is both not funny and strong is both not wise and not quiet. Everyone who is both tall and wise is either not brave or tall. If someone is either not generous or tall then someone is brave or funny and vice versa. Everyone who is not patient is not creative. Everyone who is creative is both not happy and n... | Susan is kind. | entailment | (![X]:((~funny(X)&strong(X))=>(~wise(X)&~quiet(X))))&
(![X]:((tall(X)&wise(X))=>(~brave(X)<~>tall(X))))&
((?[X]:((~generous(X)<~>tall(X))))<=>(?[X]:((brave(X)|funny(X)))))&
(![X]:(~patient(X)=>~creative(X)))&
(![X]:(creative(X)=>(~happy(X)&~old(X))))&
((?[X]:((~brave(X)<~>strong(X))))<=>((strong(paul)|patient(paul))))&... | kind(susan) | [
"p3",
"p6",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4433136847863016125419088
% SZS output start Proof for 4433136847863016125419088
4. ! [X0] : (~patient(X0) => ~creative(X0)) [input p3]
7. ! [X0] : ((~funny(X0) | patient(X0)) <=> quiet(X0)) [input p6]
11. ! [X0] : ((~wise(X0) | quiet(X0)) <=> ~quiet(X0)) [input p10]
14. ! [X0] : ((~rich(... | 0 |
If alice is humble then someone is both rich and not generous and vice versa.
Everyone who is not curious or not brave is not calm or wise and vice versa.
If someone is both funny and not kind then susan is both kind and calm.
Everyone who is both tall and not tall is not old and vice versa.
If mary is both humble and ... | Paul is generous. | neutral | ((humble(alice))<=>(?[X]:((rich(X)&~generous(X)))))&
(![X]:((~curious(X)|~brave(X))<=>(~calm(X)|wise(X))))&
((?[X]:((funny(X)&~kind(X))))=>((kind(susan)&calm(susan))))&
(![X]:((tall(X)&~tall(X))<=>~old(X)))&
(((humble(mary)&~brave(mary)))<=>((~humble(susan)|~funny(susan))))&
(((~tall(paul)|generous(paul)))=>((wise(susa... | generous(paul) | [] | null | 0 |
If fred is quiet or not kind then someone is calm or patient. Everyone who is not old is either kind or funny and vice versa. Everyone who is either rich or not quiet is both generous and calm. If someone is old then alice is both patient and curious. If lucy is both not humble and not calm then paul is old or not stro... | Susan is generous. | contradiction | (((quiet(fred)|~kind(fred)))=>(?[X]:((calm(X)|patient(X)))))&
(![X]:(~old(X)<=>(kind(X)<~>funny(X))))&
(![X]:((rich(X)<~>~quiet(X))=>(generous(X)&calm(X))))&
((?[X]:(old(X)))=>((patient(alice)&curious(alice))))&
(((~humble(lucy)&~calm(lucy)))<=>((old(paul)|~strong(paul))))&
((~brave(susan))=>(?[X]:((~humble(X)|rich(X))... | generous(susan) | [
"p3",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8390678513955887758124657
% SZS output start Proof for 8390678513955887758124657
4. ? [X0] : old(X0) => (curious(alice) & patient(alice)) [input p3]
10. ! [X0] : ((~old(X0) & ~curious(X0)) <=> (curious(X0) | ~patient(X0))) [input p9]
14. ! [X0] : ((generous(X0) | old(X0)) => (patient(X0) ... | 0 |
Everyone who is either not quiet or not creative is not old and vice versa. Everyone who is both not rich and calm is either not wise or wise and vice versa. Everyone who is wise is funny and vice versa. Everyone who is not curious is both not old and patient and vice versa. If susan is both not wise and not generous t... | Mary is old. | neutral | (![X]:((~quiet(X)<~>~creative(X))<=>~old(X)))&
(![X]:((~rich(X)&calm(X))<=>(~wise(X)<~>wise(X))))&
(![X]:(wise(X)<=>funny(X)))&
(![X]:(~curious(X)<=>(~old(X)&patient(X))))&
(((~wise(susan)&~generous(susan)))<=>(?[X]:((~humble(X)|strong(X)))))&
((?[X]:((~rich(X)<~>generous(X))))<=>(happy(fred)))&
((?[X]:(~happy(X)))<=>(... | old(mary) | [] | null | 0 |
Everyone who is either curious or strong is either wise or not brave and vice versa.
If someone is either wise or strong then john is generous or not calm.
Everyone who is not kind or patient is kind and vice versa.
Everyone who is not rich is either not generous or not kind and vice versa.
If someone is both generous ... | John is rich. | entailment | (![X]:((curious(X)<~>strong(X))<=>(wise(X)<~>~brave(X))))&
((?[X]:((wise(X)<~>strong(X))))=>((generous(john)|~calm(john))))&
(![X]:((~kind(X)|patient(X))<=>kind(X)))&
(![X]:(~rich(X)<=>(~generous(X)<~>~kind(X))))&
((?[X]:((generous(X)&old(X))))<=>((kind(paul)|~generous(paul))))&
(![X]:((happy(X)|patient(X))=>patient(X)... | rich(john) | [
"p0",
"p1",
"p2",
"p3",
"p9",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6073838376667816263557083
% SZS output start Proof for 6073838376667816263557083
1. ! [X0] : ((curious(X0) <~> strong(X0)) <=> (wise(X0) <~> ~brave(X0))) [input p0]
2. ? [X0] : (wise(X0) <~> strong(X0)) => (~calm(john) | generous(john)) [input p1]
3. ! [X0] : ((patient(X0) | ~kind(X0)) <=... | 0 |
If someone is either generous or rich then john is either not rich or calm.
If someone is either calm or not generous then mary is humble.
If fred is either not calm or not old then someone is both not happy and not creative and vice versa.
If susan is either strong or not patient then susan is not quiet.
Everyone who ... | Fred is not tall. | neutral | ((?[X]:((generous(X)<~>rich(X))))=>((~rich(john)<~>calm(john))))&
((?[X]:((calm(X)<~>~generous(X))))=>(humble(mary)))&
(((~calm(fred)<~>~old(fred)))<=>(?[X]:((~happy(X)&~creative(X)))))&
(((strong(susan)<~>~patient(susan)))=>(~quiet(susan)))&
(![X]:(wise(X)=>old(X)))&
(![X]:((~old(X)&~rich(X))<=>(old(X)|~strong(X))))&
... | ~tall(fred) | [] | null | 0 |
Everyone who is creative is both strong and tall.
If someone is tall then someone is either quiet or brave.
Everyone who is both calm and not curious is not funny or not happy and vice versa.
Everyone who is either not funny or wise is not quiet or wise and vice versa.
If mary is humble or not kind then susan is tall a... | Susan is wise. | contradiction | (![X]:(creative(X)=>(strong(X)&tall(X))))&
((?[X]:(tall(X)))=>(?[X]:((quiet(X)<~>brave(X)))))&
(![X]:((calm(X)&~curious(X))<=>(~funny(X)|~happy(X))))&
(![X]:((~funny(X)<~>wise(X))<=>(~quiet(X)|wise(X))))&
(((humble(mary)|~kind(mary)))<=>(tall(susan)))&
(![X]:((~curious(X)|calm(X))<=>(~rich(X)&brave(X))))&
(![X]:((funny... | wise(susan) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3110866372980669846314325
% SZS output start Proof for 3110866372980669846314325
4. ! [X0] : ((~funny(X0) <~> wise(X0)) <=> (wise(X0) | ~quiet(X0))) [input p3]
7. ! [X0] : ((funny(X0) <~> ~old(X0)) <=> (funny(X0) & ~old(X0))) [input p6]
19. wise(susan) [input hypothesis]
34. ! [X0] : ((((... | 0 |
Everyone who is both not calm and not curious is curious or not old and vice versa. If fred is either curious or generous then someone is either not wise or not quiet. Everyone who is both not happy and happy is not happy or not humble and vice versa. If someone is not old or not wise then someone is not calm or wise a... | Paul is not happy. | contradiction | (![X]:((~calm(X)&~curious(X))<=>(curious(X)|~old(X))))&
(((curious(fred)<~>generous(fred)))=>(?[X]:((~wise(X)<~>~quiet(X)))))&
(![X]:((~happy(X)&happy(X))<=>(~happy(X)|~humble(X))))&
((?[X]:((~old(X)|~wise(X))))<=>(?[X]:((~calm(X)|wise(X)))))&
(![X]:((curious(X)|kind(X))=>(~generous(X)&~calm(X))))&
((?[X]:((~creative(X... | ~happy(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3678163825574996195175952
% SZS output start Proof for 3678163825574996195175952
3. ! [X0] : ((happy(X0) & ~happy(X0)) <=> (~humble(X0) | ~happy(X0))) [input p2]
23. ~happy(paul) [input hypothesis]
40. ! [X0] : (((happy(X0) & ~happy(X0)) | (humble(X0) & happy(X0))) & ((~humble(X0) | ~happ... | 0 |
If paul is not strong then someone is curious and vice versa.
If lucy is both not rich and rich then someone is old and vice versa.
Everyone who is not strong or happy is not curious or not old and vice versa.
Everyone who is either humble or not patient is not old or quiet and vice versa.
Everyone who is both not gene... | Alice is humble. | neutral | ((~strong(paul))<=>(?[X]:(curious(X))))&
(((~rich(lucy)&rich(lucy)))<=>(?[X]:(old(X))))&
(![X]:((~strong(X)|happy(X))<=>(~curious(X)|~old(X))))&
(![X]:((humble(X)<~>~patient(X))<=>(~old(X)|quiet(X))))&
(![X]:((~generous(X)&~curious(X))<=>(~quiet(X)<~>brave(X))))&
((?[X]:((~calm(X)|~wise(X))))=>(?[X]:((funny(X)<~>~brave... | humble(alice) | [] | null | 0 |
Everyone who is not patient is generous or not happy and vice versa.
Everyone who is not quiet is not brave and vice versa.
If john is both not curious and not tall then someone is not quiet or creative and vice versa.
Everyone who is rich or not curious is either not kind or happy and vice versa.
Everyone who is rich ... | Paul is not wise. | entailment | (![X]:(~patient(X)<=>(generous(X)|~happy(X))))&
(![X]:(~quiet(X)<=>~brave(X)))&
(((~curious(john)&~tall(john)))<=>(?[X]:((~quiet(X)|creative(X)))))&
(![X]:((rich(X)|~curious(X))<=>(~kind(X)<~>happy(X))))&
(![X]:((rich(X)|~rich(X))<=>(~old(X)<~>~generous(X))))&
(((~quiet(john)|strong(john)))<=>((~curious(mary)&tall(mary... | ~wise(paul) | [
"p0",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 295690905594980830747466
% SZS output start Proof for 295690905594980830747466
1. ! [X0] : (~patient(X0) <=> (~happy(X0) | generous(X0))) [input p0]
7. ! [X0] : ((~brave(X0) | generous(X0)) <=> (wise(X0) <~> humble(X0))) [input p6]
11. ? [X0] : ~humble(X0) => (patient(mary) & brave(mary))... | 0 |
Everyone who is calm or not quiet is kind or not funny and vice versa.
If someone is generous then someone is either creative or not rich.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who ... | Lucy is tall. | neutral | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|~funny(X))))&
((?[X]:(generous(X)))=>(?[X]:((creative(X)<~>~rich(X)))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|hum... | tall(lucy) | [] | null | 0 |
If john is kind then someone is not patient or not quiet. If fred is not creative or generous then susan is not strong or generous. Everyone who is not quiet or not patient is either old or funny. If john is either wise or strong then someone is wise or not brave. Everyone who is wise or not happy is humble. Everyone w... | Paul is not patient. | contradiction | ((kind(john))=>(?[X]:((~patient(X)|~quiet(X)))))&
(((~creative(fred)|generous(fred)))=>((~strong(susan)|generous(susan))))&
(![X]:((~quiet(X)|~patient(X))=>(old(X)<~>funny(X))))&
(((wise(john)<~>strong(john)))=>(?[X]:((wise(X)|~brave(X)))))&
(![X]:((wise(X)|~happy(X))=>humble(X)))&
(![X]:((happy(X)<~>~quiet(X))<=>(rich... | ~patient(paul) | [
"p7",
"p8",
"p11",
"p12",
"p13",
"p14",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4932478630698278771202822
% SZS output start Proof for 4932478630698278771202822
8. (~old(paul) & ~rich(paul)) <=> ? [X0] : (~funny(X0) | ~strong(X0)) [input p7]
9. ? [X0] : (kind(X0) & ~funny(X0)) <=> ? [X0] : strong(X0) [input p8]
12. ! [X0] : ((rich(X0) <~> tall(X0)) <=> (patient(X0) &... | 0 |
If someone is rich then susan is not patient. Everyone who is both humble and not creative is both humble and strong. If fred is brave then someone is either strong or not calm and vice versa. Everyone who is quiet is rich or not happy and vice versa. If lucy is not tall then someone is patient or not old and vice vers... | Lucy is tall. | contradiction | ((?[X]:(rich(X)))=>(~patient(susan)))&
(![X]:((humble(X)&~creative(X))=>(humble(X)&strong(X))))&
((brave(fred))<=>(?[X]:((strong(X)<~>~calm(X)))))&
(![X]:(quiet(X)<=>(rich(X)|~happy(X))))&
((~tall(lucy))<=>(?[X]:((patient(X)|~old(X)))))&
((?[X]:((old(X)&~brave(X))))=>(?[X]:(tall(X))))&
(![X]:(tall(X)<=>patient(X)))&
((... | tall(lucy) | [
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4318531789877329587152866
% SZS output start Proof for 4318531789877329587152866
5. ~tall(lucy) <=> ? [X0] : (~old(X0) | patient(X0)) [input p4]
22. ? [X0] : (~old(X0) & ~calm(X0)) [input p21]
25. tall(lucy) [input hypothesis]
48. (~tall(lucy) | ! [X0] : (old(X0) & ~patient(X0))) & (? [X0... | 0 |
If someone is either not tall or tall then someone is creative or not strong. If someone is happy then susan is curious or wise. Everyone who is not calm is wise. If someone is tall or not funny then alice is both tall and quiet. If someone is not tall or tall then susan is brave or not humble and vice versa. Everyone ... | Alice is tall. | neutral | ((?[X]:((~tall(X)<~>tall(X))))=>(?[X]:((creative(X)|~strong(X)))))&
((?[X]:(happy(X)))=>((curious(susan)|wise(susan))))&
(![X]:(~calm(X)=>wise(X)))&
((?[X]:((tall(X)|~funny(X))))=>((tall(alice)&quiet(alice))))&
((?[X]:((~tall(X)|tall(X))))<=>((brave(susan)|~humble(susan))))&
(![X]:(~generous(X)<=>(wise(X)<~>quiet(X))))... | tall(alice) | [] | null | 0 |
Everyone who is either curious or quiet is both not wise and creative and vice versa. Everyone who is either not quiet or creative is not old and vice versa. Everyone who is wise is humble and vice versa. If john is not rich or not happy then someone is both not strong and brave and vice versa. Everyone who is both not... | John is not brave. | contradiction | (![X]:((curious(X)<~>quiet(X))<=>(~wise(X)&creative(X))))&
(![X]:((~quiet(X)<~>creative(X))<=>~old(X)))&
(![X]:(wise(X)<=>humble(X)))&
(((~rich(john)|~happy(john)))<=>(?[X]:((~strong(X)&brave(X)))))&
(![X]:((~patient(X)&old(X))<=>(curious(X)|~funny(X))))&
(((rich(mary)<~>~funny(mary)))<=>(?[X]:((calm(X)&~brave(X)))))&
... | ~brave(john) | [
"p0",
"p1",
"p4",
"p6",
"p8",
"p9",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6716219954179304699912768
% SZS output start Proof for 6716219954179304699912768
1. ! [X0] : ((curious(X0) <~> quiet(X0)) <=> (creative(X0) & ~wise(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) <~> creative(X0)) <=> ~old(X0)) [input p1]
5. ! [X0] : ((old(X0) & ~patient(X0)) <=> (~funny(X0) | ... | 0 |
Everyone who is rich is both wise and tall and vice versa.
Everyone who is both happy and not kind is either not kind or not strong and vice versa.
Everyone who is old is not old or not wise.
If lucy is not calm or not tall then someone is not calm or not creative.
If fred is brave then someone is generous and vice ver... | Lucy is humble. | entailment | (![X]:(rich(X)<=>(wise(X)&tall(X))))&
(![X]:((happy(X)&~kind(X))<=>(~kind(X)<~>~strong(X))))&
(![X]:(old(X)=>(~old(X)|~wise(X))))&
(((~calm(lucy)|~tall(lucy)))=>(?[X]:((~calm(X)|~creative(X)))))&
((brave(fred))<=>(?[X]:(generous(X))))&
(![X]:((patient(X)<~>~calm(X))=>(~rich(X)<~>curious(X))))&
(![X]:((~calm(X)|~creativ... | humble(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1316087509488456959805374
% SZS output start Proof for 1316087509488456959805374
8. ! [X0] : ((strong(X0) | ~humble(X0)) => (tall(X0) & humble(X0))) [input p7]
25. ~humble(lucy) [input hypothesis]
33. ! [X0] : ((tall(X0) & humble(X0)) | (~strong(X0) & humble(X0))) [ennf transformation 8]
... | 0 |
If alice is either wise or funny then susan is both not happy and not quiet and vice versa.
Everyone who is not humble or tall is either not patient or not kind.
Everyone who is not old or not brave is not tall or not happy and vice versa.
If someone is creative or patient then someone is both not humble and creative.
... | Mary is not funny. | entailment | (((wise(alice)<~>funny(alice)))<=>((~happy(susan)&~quiet(susan))))&
(![X]:((~humble(X)|tall(X))=>(~patient(X)<~>~kind(X))))&
(![X]:((~old(X)|~brave(X))<=>(~tall(X)|~happy(X))))&
((?[X]:((creative(X)|patient(X))))=>(?[X]:((~humble(X)&creative(X)))))&
(![X]:((~quiet(X)&~old(X))=>quiet(X)))&
(![X]:((creative(X)|old(X))<=>... | ~funny(mary) | [
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3515151050487274157841969
% SZS output start Proof for 3515151050487274157841969
13. ? [X0] : ~generous(X0) <=> (~funny(mary) & ~brave(mary)) [input p12]
14. (~quiet(john) | curious(john)) => (~strong(john) & ~curious(john)) [input p13]
23. curious(john) | ~generous(john) [input p22]
25. ... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.