premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not quiet and not strong is not wise and vice versa. Everyone who is either not rich or not quiet is both brave and curious. Everyone who is creative or patient is either not quiet or not brave and vice versa. Everyone who is not generous is not kind or not creative and vice versa. Everyone who is ... | John is not calm. | contradiction | (![X]:((~quiet(X)&~strong(X))<=>~wise(X)))&
(![X]:((~rich(X)<~>~quiet(X))=>(brave(X)&curious(X))))&
(![X]:((creative(X)|patient(X))<=>(~quiet(X)<~>~brave(X))))&
(![X]:(~generous(X)<=>(~kind(X)|~creative(X))))&
(![X]:((~patient(X)<~>~creative(X))<=>creative(X)))&
(![X]:((curious(X)&~quiet(X))<=>wise(X)))&
(![X]:((~rich(... | ~calm(john) | [
"p0",
"p1",
"p5",
"p6",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8099519289155501441929424
% SZS output start Proof for 8099519289155501441929424
1. ! [X0] : ((~strong(X0) & ~quiet(X0)) <=> ~wise(X0)) [input p0]
2. ! [X0] : ((~rich(X0) <~> ~quiet(X0)) => (curious(X0) & brave(X0))) [input p1]
6. ! [X0] : ((~quiet(X0) & curious(X0)) <=> wise(X0)) [input ... | 0 |
Everyone who is both not strong and not curious is either creative or rich.
Everyone who is both not generous and not strong is happy.
Everyone who is not generous is not curious.
If someone is not creative or happy then john is not funny and vice versa.
Everyone who is patient or wise is either patient or tall and vic... | Paul is not funny. | entailment | (![X]:((~strong(X)&~curious(X))=>(creative(X)<~>rich(X))))&
(![X]:((~generous(X)&~strong(X))=>happy(X)))&
(![X]:(~generous(X)=>~curious(X)))&
((?[X]:((~creative(X)|happy(X))))<=>(~funny(john)))&
(![X]:((patient(X)|wise(X))<=>(patient(X)<~>tall(X))))&
(![X]:((happy(X)<~>tall(X))<=>old(X)))&
(![X]:((~kind(X)|wise(X))<=>c... | ~funny(paul) | [
"p4",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3628156997388140020720904
% SZS output start Proof for 3628156997388140020720904
5. ! [X0] : ((wise(X0) | patient(X0)) <=> (patient(X0) <~> tall(X0))) [input p4]
11. ! [X0] : ((~funny(X0) <~> tall(X0)) <=> (~wise(X0) <~> humble(X0))) [input p10]
12. ! [X0] : ((strong(X0) | humble(X0)) => ... | 0 |
Everyone who is not generous or not curious is happy.
If someone is not humble or not funny then john is both funny and not curious.
Everyone who is either creative or not tall is either happy or not patient and vice versa.
If mary is rich then someone is either curious or old.
Everyone who is brave is not patient and ... | John is not humble. | neutral | (![X]:((~generous(X)|~curious(X))=>happy(X)))&
((?[X]:((~humble(X)|~funny(X))))=>((funny(john)&~curious(john))))&
(![X]:((creative(X)<~>~tall(X))<=>(happy(X)<~>~patient(X))))&
((rich(mary))=>(?[X]:((curious(X)<~>old(X)))))&
(![X]:(brave(X)<=>~patient(X)))&
((?[X]:((patient(X)&brave(X))))=>((~humble(lucy)|calm(lucy))))&... | ~humble(john) | [] | null | 0 |
Everyone who is not strong or not wise is both funny and patient. Everyone who is both funny and not creative is not wise or not old and vice versa. If mary is creative then someone is not brave and vice versa. Everyone who is tall is both not happy and happy and vice versa. Everyone who is quiet is either not creative... | Susan is not quiet. | entailment | (![X]:((~strong(X)|~wise(X))=>(funny(X)&patient(X))))&
(![X]:((funny(X)&~creative(X))<=>(~wise(X)|~old(X))))&
((creative(mary))<=>(?[X]:(~brave(X))))&
(![X]:(tall(X)<=>(~happy(X)&happy(X))))&
(![X]:(quiet(X)=>(~creative(X)<~>patient(X))))&
(![X]:(~old(X)=>(~strong(X)<~>~happy(X))))&
(![X]:(~old(X)=>(happy(X)<~>humble(X... | ~quiet(susan) | [
"p0",
"p4",
"p8",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 920575033608089967448914
% SZS output start Proof for 920575033608089967448914
1. ! [X0] : ((~wise(X0) | ~strong(X0)) => (patient(X0) & funny(X0))) [input p0]
5. ! [X0] : (quiet(X0) => (~creative(X0) <~> patient(X0))) [input p4]
9. ! [X0] : ((~creative(X0) | quiet(X0)) <=> (~creative(X0) ... | 0 |
If someone is not tall or not calm then someone is both not old and strong.
Everyone who is wise is humble or wise.
If susan is either brave or not wise then someone is both creative and not generous and vice versa.
If someone is not old or tall then paul is either not curious or old.
Everyone who is either generous or... | John is kind. | entailment | ((?[X]:((~tall(X)|~calm(X))))=>(?[X]:((~old(X)&strong(X)))))&
(![X]:(wise(X)=>(humble(X)|wise(X))))&
(((brave(susan)<~>~wise(susan)))<=>(?[X]:((creative(X)&~generous(X)))))&
((?[X]:((~old(X)|tall(X))))=>((~curious(paul)<~>old(paul))))&
(![X]:((generous(X)<~>~quiet(X))<=>(strong(X)&~curious(X))))&
(![X]:((~creative(X)<~... | kind(john) | [
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 374120761405889929273943
% SZS output start Proof for 374120761405889929273943
10. ! [X0] : ((~strong(X0) & rich(X0)) <=> creative(X0)) [input p9]
11. (humble(susan) & ~humble(susan)) <=> ? [X0] : (~rich(X0) & kind(X0)) [input p10]
14. ! [X0] : ((~kind(X0) | tall(X0)) <=> ~funny(X0)) [inp... | 0 |
Everyone who is both not calm and wise is either not happy or not generous and vice versa. Everyone who is not calm or strong is both curious and not curious and vice versa. Everyone who is both rich and kind is both humble and not humble and vice versa. If someone is either strong or not creative then john is humble a... | Paul is not happy. | contradiction | (![X]:((~calm(X)&wise(X))<=>(~happy(X)<~>~generous(X))))&
(![X]:((~calm(X)|strong(X))<=>(curious(X)&~curious(X))))&
(![X]:((rich(X)&kind(X))<=>(humble(X)&~humble(X))))&
((?[X]:((strong(X)<~>~creative(X))))<=>(humble(john)))&
(![X]:((calm(X)<~>rich(X))=>(~humble(X)|funny(X))))&
(![X]:(~generous(X)=>~patient(X)))&
(![X]:... | ~happy(paul) | [
"p0",
"p1",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3240640813027106479188887
% SZS output start Proof for 3240640813027106479188887
1. ! [X0] : ((wise(X0) & ~calm(X0)) <=> (~happy(X0) <~> ~generous(X0))) [input p0]
2. ! [X0] : ((strong(X0) | ~calm(X0)) <=> (~curious(X0) & curious(X0))) [input p1]
19. ~rich(paul) & generous(paul) [input p1... | 0 |
If someone is either not brave or not wise then someone is calm or not creative and vice versa.
If mary is not patient then mary is both creative and humble and vice versa.
Everyone who is wise is creative or old.
Everyone who is not quiet is humble and vice versa.
If mary is both patient and not calm then someone is w... | Lucy is not happy. | entailment | ((?[X]:((~brave(X)<~>~wise(X))))<=>(?[X]:((calm(X)|~creative(X)))))&
((~patient(mary))<=>((creative(mary)&humble(mary))))&
(![X]:(wise(X)=>(creative(X)|old(X))))&
(![X]:(~quiet(X)<=>humble(X)))&
(((patient(mary)&~calm(mary)))<=>(?[X]:(wise(X))))&
(((~calm(susan)|creative(susan)))=>(?[X]:((~patient(X)|~old(X)))))&
(![X]... | ~happy(lucy) | [
"p3",
"p10",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7531385345673129168285261
% SZS output start Proof for 7531385345673129168285261
4. ! [X0] : (~quiet(X0) <=> humble(X0)) [input p3]
11. ? [X0] : (quiet(X0) <~> ~wise(X0)) => wise(alice) [input p10]
12. ! [X0] : ((humble(X0) <~> calm(X0)) <=> ~happy(X0)) [input p11]
13. (strong(lucy) & ~ca... | 0 |
Everyone who is both not rich and rich is generous or not kind and vice versa.
Everyone who is both not kind and kind is either not tall or not curious and vice versa.
If lucy is both not tall and strong then someone is funny.
If alice is funny or not quiet then lucy is both not creative and not humble.
If someone is b... | Lucy is not patient. | entailment | (![X]:((~rich(X)&rich(X))<=>(generous(X)|~kind(X))))&
(![X]:((~kind(X)&kind(X))<=>(~tall(X)<~>~curious(X))))&
(((~tall(lucy)&strong(lucy)))=>(?[X]:(funny(X))))&
(((funny(alice)|~quiet(alice)))=>((~creative(lucy)&~humble(lucy))))&
((?[X]:((brave(X)|rich(X))))<=>(?[X]:((~quiet(X)<~>tall(X)))))&
(![X]:((kind(X)&~happy(X))... | ~patient(lucy) | [
"p0",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 283149601945769693310531
% SZS output start Proof for 283149601945769693310531
1. ! [X0] : ((rich(X0) & ~rich(X0)) <=> (~kind(X0) | generous(X0))) [input p0]
12. ! [X0] : ((kind(X0) <~> brave(X0)) <=> generous(X0)) [input p11]
14. ! [X0] : (~brave(X0) <=> patient(X0)) [input p13]
25. pati... | 0 |
If susan is both generous and old then someone is either not humble or quiet and vice versa. Everyone who is not quiet is both not tall and rich and vice versa. Everyone who is not rich or not kind is either not calm or quiet and vice versa. Everyone who is generous is not happy or humble. Everyone who is kind or not s... | Mary is tall. | contradiction | (((generous(susan)&old(susan)))<=>(?[X]:((~humble(X)<~>quiet(X)))))&
(![X]:(~quiet(X)<=>(~tall(X)&rich(X))))&
(![X]:((~rich(X)|~kind(X))<=>(~calm(X)<~>quiet(X))))&
(![X]:(generous(X)=>(~happy(X)|humble(X))))&
(![X]:((kind(X)|~strong(X))<=>(~patient(X)&humble(X))))&
(![X]:(wise(X)=>(curious(X)|generous(X))))&
(![X]:((ri... | tall(mary) | [
"p0",
"p1",
"p4",
"p9",
"p11",
"p12",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5697950215732233038327595
% SZS output start Proof for 5697950215732233038327595
1. (old(susan) & generous(susan)) <=> ? [X0] : (~humble(X0) <~> quiet(X0)) [input p0]
2. ! [X0] : (~quiet(X0) <=> (rich(X0) & ~tall(X0))) [input p1]
5. ! [X0] : ((~strong(X0) | kind(X0)) <=> (humble(X0) & ~pa... | 0 |
Everyone who is both not wise and happy is not creative or not curious.
If someone is both generous and not quiet then someone is not tall and vice versa.
Everyone who is kind is creative and vice versa.
Everyone who is generous or not strong is both wise and not patient.
Everyone who is brave is rich.
Everyone who is ... | Lucy is creative. | entailment | (![X]:((~wise(X)&happy(X))=>(~creative(X)|~curious(X))))&
((?[X]:((generous(X)&~quiet(X))))<=>(?[X]:(~tall(X))))&
(![X]:(kind(X)<=>creative(X)))&
(![X]:((generous(X)|~strong(X))=>(wise(X)&~patient(X))))&
(![X]:(brave(X)=>rich(X)))&
(![X]:(tall(X)=>happy(X)))&
((?[X]:((old(X)|~creative(X))))=>((~strong(paul)<~>humble(pa... | creative(lucy) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 954165972879245752303316
% SZS output start Proof for 954165972879245752303316
3. ! [X0] : (kind(X0) <=> creative(X0)) [input p2]
9. ! [X0] : ((kind(X0) & quiet(X0)) <=> (generous(X0) | ~kind(X0))) [input p8]
25. ~creative(lucy) [input hypothesis]
44. ! [X0] : ((kind(X0) | ~creative(X0)) ... | 0 |
If someone is both tall and not strong then someone is calm or not brave.
If fred is not curious then susan is either tall or patient.
Everyone who is rich or humble is both not funny and not generous and vice versa.
If mary is brave then john is humble and vice versa.
Everyone who is not happy or generous is both not ... | Lucy is not generous. | entailment | ((?[X]:((tall(X)&~strong(X))))=>(?[X]:((calm(X)|~brave(X)))))&
((~curious(fred))=>((tall(susan)<~>patient(susan))))&
(![X]:((rich(X)|humble(X))<=>(~funny(X)&~generous(X))))&
((brave(mary))<=>(humble(john)))&
(![X]:((~happy(X)|generous(X))=>(~humble(X)&~quiet(X))))&
(![X]:((funny(X)|~brave(X))=>~strong(X)))&
(((strong(l... | ~generous(lucy) | [
"p2",
"p5",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 941037216028095704713948
% SZS output start Proof for 941037216028095704713948
3. ! [X0] : ((humble(X0) | rich(X0)) <=> (~generous(X0) & ~funny(X0))) [input p2]
6. ! [X0] : ((~brave(X0) | funny(X0)) => ~strong(X0)) [input p5]
10. ! [X0] : ((humble(X0) <~> strong(X0)) => (~happy(X0) & funn... | 0 |
Everyone who is both calm and patient is both brave and quiet.
If someone is both not kind and strong then mary is not patient and vice versa.
If paul is not kind or generous then someone is not quiet or not humble and vice versa.
If john is not wise or not rich then lucy is not quiet and vice versa.
Everyone who is bo... | Mary is not tall. | entailment | (![X]:((calm(X)&patient(X))=>(brave(X)&quiet(X))))&
((?[X]:((~kind(X)&strong(X))))<=>(~patient(mary)))&
(((~kind(paul)|generous(paul)))<=>(?[X]:((~quiet(X)|~humble(X)))))&
(((~wise(john)|~rich(john)))<=>(~quiet(lucy)))&
(![X]:((happy(X)&brave(X))=>(strong(X)&quiet(X))))&
((?[X]:(old(X)))<=>(?[X]:((~funny(X)&humble(X)))... | ~tall(mary) | [
"p7",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2324456984399179966567509
% SZS output start Proof for 2324456984399179966567509
8. ! [X0] : ((creative(X0) & ~tall(X0)) <=> (curious(X0) | funny(X0))) [input p7]
14. ! [X0] : ((brave(X0) | old(X0)) => (~strong(X0) & rich(X0))) [input p13]
16. funny(mary) <=> ? [X0] : rich(X0) [input p15]... | 0 |
Everyone who is both not old and not brave is not strong and vice versa.
Everyone who is both generous and not kind is either tall or not creative and vice versa.
Everyone who is not brave or kind is not funny and vice versa.
Everyone who is rich is wise or not tall.
Everyone who is either not curious or not calm is cu... | John is not patient. | neutral | (![X]:((~old(X)&~brave(X))<=>~strong(X)))&
(![X]:((generous(X)&~kind(X))<=>(tall(X)<~>~creative(X))))&
(![X]:((~brave(X)|kind(X))<=>~funny(X)))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(~rich(X)<=>(~calm(X)&calm(... | ~patient(john) | [] | null | 0 |
Everyone who is not strong is brave or wise. Everyone who is both not old and not quiet is either not funny or old and vice versa. If someone is not strong then lucy is not calm or rich and vice versa. Everyone who is both not old and wise is either not tall or not rich. Everyone who is either not old or not happy is n... | Fred is not patient. | neutral | (![X]:(~strong(X)=>(brave(X)|wise(X))))&
(![X]:((~old(X)&~quiet(X))<=>(~funny(X)<~>old(X))))&
((?[X]:(~strong(X)))<=>((~calm(lucy)|rich(lucy))))&
(![X]:((~old(X)&wise(X))=>(~tall(X)<~>~rich(X))))&
(![X]:((~old(X)<~>~happy(X))<=>(~brave(X)|~funny(X))))&
((?[X]:((~strong(X)<~>~quiet(X))))<=>((~humble(mary)&~strong(mary))... | ~patient(fred) | [] | null | 0 |
If john is wise or strong then someone is both brave and not patient.
If alice is both not brave and not patient then someone is either kind or rich.
If someone is not generous then john is not rich or rich and vice versa.
Everyone who is either old or not old is either humble or curious.
Everyone who is either not bra... | Alice is not wise. | entailment | (((wise(john)|strong(john)))=>(?[X]:((brave(X)&~patient(X)))))&
(((~brave(alice)&~patient(alice)))=>(?[X]:((kind(X)<~>rich(X)))))&
((?[X]:(~generous(X)))<=>((~rich(john)|rich(john))))&
(![X]:((old(X)<~>~old(X))=>(humble(X)<~>curious(X))))&
(![X]:((~brave(X)<~>~creative(X))<=>(~curious(X)|happy(X))))&
(![X]:(~creative(X... | ~wise(alice) | [
"p3",
"p4",
"p5",
"p6",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6775162297514674075818111
% SZS output start Proof for 6775162297514674075818111
4. ! [X0] : ((old(X0) <~> ~old(X0)) => (humble(X0) <~> curious(X0))) [input p3]
5. ! [X0] : ((~brave(X0) <~> ~creative(X0)) <=> (happy(X0) | ~curious(X0))) [input p4]
6. ! [X0] : (~creative(X0) <=> (~tall(X0)... | 0 |
If someone is curious then someone is not quiet or quiet and vice versa.
Everyone who is either patient or not rich is wise or not curious and vice versa.
If mary is either not kind or kind then someone is humble or calm and vice versa.
Everyone who is both not quiet and not generous is not funny or creative and vice v... | John is patient. | contradiction | ((?[X]:(curious(X)))<=>(?[X]:((~quiet(X)|quiet(X)))))&
(![X]:((patient(X)<~>~rich(X))<=>(wise(X)|~curious(X))))&
(((~kind(mary)<~>kind(mary)))<=>(?[X]:((humble(X)|calm(X)))))&
(![X]:((~quiet(X)&~generous(X))<=>(~funny(X)|creative(X))))&
((?[X]:(~patient(X)))=>((tall(lucy)|kind(lucy))))&
(![X]:((~creative(X)|~kind(X))=>... | patient(john) | [
"p1",
"p3",
"p5",
"p7",
"p9",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7470743388714383579820581
% SZS output start Proof for 7470743388714383579820581
2. ! [X0] : ((patient(X0) <~> ~rich(X0)) <=> (~curious(X0) | wise(X0))) [input p1]
4. ! [X0] : ((~generous(X0) & ~quiet(X0)) <=> (creative(X0) | ~funny(X0))) [input p3]
6. ! [X0] : ((~kind(X0) | ~creative(X0)... | 0 |
If lucy is both not quiet and wise then lucy is strong.
If someone is either rich or curious then paul is brave or happy and vice versa.
If lucy is both calm and not strong then john is either not old or not funny.
Everyone who is curious or not patient is calm or not old.
Everyone who is rich is brave or funny.
If mar... | Mary is not wise. | neutral | (((~quiet(lucy)&wise(lucy)))=>(strong(lucy)))&
((?[X]:((rich(X)<~>curious(X))))<=>((brave(paul)|happy(paul))))&
(((calm(lucy)&~strong(lucy)))=>((~old(john)<~>~funny(john))))&
(![X]:((curious(X)|~patient(X))=>(calm(X)|~old(X))))&
(![X]:(rich(X)=>(brave(X)|funny(X))))&
(((~tall(mary)&old(mary)))<=>(~brave(fred)))&
(![X]:... | ~wise(mary) | [] | null | 0 |
If someone is either not happy or not generous then susan is both not funny and old and vice versa. Everyone who is not wise or not kind is not funny. Everyone who is both kind and not wise is strong and vice versa. If alice is either not quiet or quiet then someone is not creative and vice versa. Everyone who is eithe... | John is funny. | contradiction | ((?[X]:((~happy(X)<~>~generous(X))))<=>((~funny(susan)&old(susan))))&
(![X]:((~wise(X)|~kind(X))=>~funny(X)))&
(![X]:((kind(X)&~wise(X))<=>strong(X)))&
(((~quiet(alice)<~>quiet(alice)))<=>(?[X]:(~creative(X))))&
(![X]:((~generous(X)<~>~curious(X))<=>tall(X)))&
((?[X]:((curious(X)&kind(X))))=>(?[X]:((funny(X)&~brave(X))... | funny(john) | [
"p1",
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2544710261988401780253112
% SZS output start Proof for 2544710261988401780253112
2. ! [X0] : ((~kind(X0) | ~wise(X0)) => ~funny(X0)) [input p1]
3. ! [X0] : ((~wise(X0) & kind(X0)) <=> strong(X0)) [input p2]
14. ! [X0] : (~strong(X0) => (~patient(X0) & ~kind(X0))) [input p13]
24. funny(joh... | 0 |
If john is quiet or not tall then mary is either not wise or creative and vice versa.
Everyone who is both quiet and rich is generous or funny and vice versa.
If mary is both wise and rich then someone is both not quiet and brave and vice versa.
Everyone who is curious or funny is not rich.
If someone is either not old... | Mary is creative. | neutral | (((quiet(john)|~tall(john)))<=>((~wise(mary)<~>creative(mary))))&
(![X]:((quiet(X)&rich(X))<=>(generous(X)|funny(X))))&
(((wise(mary)&rich(mary)))<=>(?[X]:((~quiet(X)&brave(X)))))&
(![X]:((curious(X)|funny(X))=>~rich(X)))&
((?[X]:((~old(X)<~>wise(X))))<=>(?[X]:((~humble(X)&tall(X)))))&
((?[X]:((generous(X)&~generous(X)... | creative(mary) | [] | null | 0 |
If someone is not kind or not tall then alice is not creative and vice versa.
Everyone who is either creative or not patient is both not calm and calm and vice versa.
If alice is funny then someone is not kind.
Everyone who is either not quiet or not wise is happy or not calm.
If someone is calm then lucy is rich or cu... | Lucy is old. | neutral | ((?[X]:((~kind(X)|~tall(X))))<=>(~creative(alice)))&
(![X]:((creative(X)<~>~patient(X))<=>(~calm(X)&calm(X))))&
((funny(alice))=>(?[X]:(~kind(X))))&
(![X]:((~quiet(X)<~>~wise(X))=>(happy(X)|~calm(X))))&
((?[X]:(calm(X)))=>((rich(lucy)|curious(lucy))))&
(![X]:((~old(X)&strong(X))<=>(~quiet(X)<~>brave(X))))&
(![X]:(humbl... | old(lucy) | [] | null | 0 |
If someone is both strong and creative then someone is either happy or funny and vice versa.
If john is not happy then someone is either wise or not quiet and vice versa.
Everyone who is both calm and not quiet is both generous and funny and vice versa.
Everyone who is calm is kind or not funny and vice versa.
If mary ... | Susan is not quiet. | contradiction | ((?[X]:((strong(X)&creative(X))))<=>(?[X]:((happy(X)<~>funny(X)))))&
((~happy(john))<=>(?[X]:((wise(X)<~>~quiet(X)))))&
(![X]:((calm(X)&~quiet(X))<=>(generous(X)&funny(X))))&
(![X]:(calm(X)<=>(kind(X)|~funny(X))))&
(((~old(mary)&tall(mary)))<=>(?[X]:(~humble(X))))&
(![X]:((quiet(X)<~>tall(X))=>(~funny(X)|~tall(X))))&
(... | ~quiet(susan) | [
"p2",
"p3",
"p8",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8775568255469314760625045
% SZS output start Proof for 8775568255469314760625045
3. ! [X0] : ((~quiet(X0) & calm(X0)) <=> (funny(X0) & generous(X0))) [input p2]
4. ! [X0] : (calm(X0) <=> (~funny(X0) | kind(X0))) [input p3]
9. ! [X0] : ((calm(X0) & tall(X0)) <=> ~old(X0)) [input p8]
12. ! ... | 0 |
Everyone who is not creative or not kind is not brave and vice versa.
Everyone who is both not patient and tall is wise or not rich.
Everyone who is not curious or not funny is not happy or calm.
Everyone who is not generous is either not funny or not calm.
If fred is brave then mary is not rich.
Everyone who is both n... | John is not funny. | entailment | (![X]:((~creative(X)|~kind(X))<=>~brave(X)))&
(![X]:((~patient(X)&tall(X))=>(wise(X)|~rich(X))))&
(![X]:((~curious(X)|~funny(X))=>(~happy(X)|calm(X))))&
(![X]:(~generous(X)=>(~funny(X)<~>~calm(X))))&
((brave(fred))=>(~rich(mary)))&
(![X]:((~humble(X)&~strong(X))<=>(wise(X)&~happy(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~wi... | ~funny(john) | [
"p11",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 102495675242918766148987
% SZS output start Proof for 102495675242918766148987
12. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (happy(X0) | ~calm(X0))) [input p11]
17. quiet(john) <~> ~funny(john) [input p16]
23. kind(john) & ~happy(john) [input p22]
24. funny(john) [input hypothesis]
54. ! [... | 0 |
Everyone who is either patient or happy is both quiet and not tall.
If alice is both not calm and old then someone is quiet and vice versa.
Everyone who is generous or not humble is either humble or strong and vice versa.
Everyone who is not happy or not patient is not quiet and vice versa.
Everyone who is both not bra... | Alice is creative. | contradiction | (![X]:((patient(X)<~>happy(X))=>(quiet(X)&~tall(X))))&
(((~calm(alice)&old(alice)))<=>(?[X]:(quiet(X))))&
(![X]:((generous(X)|~humble(X))<=>(humble(X)<~>strong(X))))&
(![X]:((~happy(X)|~patient(X))<=>~quiet(X)))&
(![X]:((~brave(X)&~curious(X))<=>humble(X)))&
(![X]:((~calm(X)|~strong(X))<=>(happy(X)&~tall(X))))&
((?[X]:... | creative(alice) | [
"p0",
"p3",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5905337987717520507917958
% SZS output start Proof for 5905337987717520507917958
1. ! [X0] : ((patient(X0) <~> happy(X0)) => (~tall(X0) & quiet(X0))) [input p0]
4. ! [X0] : ((~patient(X0) | ~happy(X0)) <=> ~quiet(X0)) [input p3]
13. ! [X0] : ((kind(X0) | ~quiet(X0)) <=> (happy(X0) <~> ~cr... | 0 |
Everyone who is not wise or brave is both not tall and not rich and vice versa.
Everyone who is either not old or not rich is calm or funny and vice versa.
Everyone who is either brave or humble is either patient or old and vice versa.
Everyone who is both creative and not tall is both not old and patient.
If someone i... | Alice is not calm. | entailment | (![X]:((~wise(X)|brave(X))<=>(~tall(X)&~rich(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(calm(X)|funny(X))))&
(![X]:((brave(X)<~>humble(X))<=>(patient(X)<~>old(X))))&
(![X]:((creative(X)&~tall(X))=>(~old(X)&patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~generous(X)&~rich(X)))))&
((?[X]:(humble(X)))<=>(curious(alice)))&
((~... | ~calm(alice) | [
"p1",
"p5",
"p8",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7230738872279079504732880
% SZS output start Proof for 7230738872279079504732880
2. ! [X0] : ((~old(X0) <~> ~rich(X0)) <=> (funny(X0) | calm(X0))) [input p1]
6. ? [X0] : humble(X0) <=> curious(alice) [input p5]
9. ! [X0] : ((curious(X0) | ~rich(X0)) <=> (~rich(X0) | tall(X0))) [input p8]
... | 0 |
If someone is not patient then john is humble or generous.
If susan is both quiet and tall then lucy is either happy or kind and vice versa.
If someone is both curious and kind then someone is either funny or kind and vice versa.
Everyone who is not humble or not curious is either not calm or kind and vice versa.
If so... | Lucy is patient. | entailment | ((?[X]:(~patient(X)))=>((humble(john)|generous(john))))&
(((quiet(susan)&tall(susan)))<=>((happy(lucy)<~>kind(lucy))))&
((?[X]:((curious(X)&kind(X))))<=>(?[X]:((funny(X)<~>kind(X)))))&
(![X]:((~humble(X)|~curious(X))<=>(~calm(X)<~>kind(X))))&
((?[X]:(calm(X)))<=>(happy(lucy)))&
(![X]:(old(X)=>(~generous(X)&~old(X))))&
... | patient(lucy) | [
"p5",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2555723751770097925565324
% SZS output start Proof for 2555723751770097925565324
6. ! [X0] : (old(X0) => (~old(X0) & ~generous(X0))) [input p5]
13. ! [X0] : ((old(X0) <~> ~patient(X0)) <=> (~calm(X0) & ~old(X0))) [input p12]
20. calm(lucy) & ~tall(lucy) [input p19]
25. ~patient(lucy) [inp... | 0 |
If john is both brave and curious then someone is both curious and tall and vice versa.
If susan is both happy and not funny then someone is either generous or rich.
Everyone who is both not strong and tall is tall and vice versa.
Everyone who is either calm or not happy is either humble or not generous and vice versa.... | Lucy is kind. | neutral | (((brave(john)&curious(john)))<=>(?[X]:((curious(X)&tall(X)))))&
(((happy(susan)&~funny(susan)))=>(?[X]:((generous(X)<~>rich(X)))))&
(![X]:((~strong(X)&tall(X))<=>tall(X)))&
(![X]:((calm(X)<~>~happy(X))<=>(humble(X)<~>~generous(X))))&
(![X]:((quiet(X)&happy(X))<=>(~generous(X)<~>rich(X))))&
((?[X]:((~strong(X)|~creativ... | kind(lucy) | [] | null | 0 |
Everyone who is quiet is not patient.
Everyone who is either wise or calm is kind.
Everyone who is funny is not humble or kind.
If mary is not patient or calm then paul is both not tall and tall.
Everyone who is either not old or rich is humble or not quiet and vice versa.
If someone is not quiet then someone is genero... | Susan is humble. | contradiction | (![X]:(quiet(X)=>~patient(X)))&
(![X]:((wise(X)<~>calm(X))=>kind(X)))&
(![X]:(funny(X)=>(~humble(X)|kind(X))))&
(((~patient(mary)|calm(mary)))=>((~tall(paul)&tall(paul))))&
(![X]:((~old(X)<~>rich(X))<=>(humble(X)|~quiet(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((generous(X)|creative(X)))))&
((?[X]:((~creative(X)&~old(X))))=>... | humble(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3955302346343193830738728
% SZS output start Proof for 3955302346343193830738728
15. ! [X0] : (humble(X0) <=> (~humble(X0) & quiet(X0))) [input p14]
24. humble(susan) [input hypothesis]
72. ! [X0] : ((humble(X0) | (humble(X0) | ~quiet(X0))) & ((~humble(X0) & quiet(X0)) | ~humble(X0))) [nn... | 0 |
Everyone who is not strong is not patient and vice versa. Everyone who is not old or not creative is both generous and not strong. Everyone who is both wise and strong is not funny and vice versa. Everyone who is not happy or creative is both curious and quiet and vice versa. Everyone who is either not happy or not cal... | Mary is not calm. | contradiction | (![X]:(~strong(X)<=>~patient(X)))&
(![X]:((~old(X)|~creative(X))=>(generous(X)&~strong(X))))&
(![X]:((wise(X)&strong(X))<=>~funny(X)))&
(![X]:((~happy(X)|creative(X))<=>(curious(X)&quiet(X))))&
(![X]:((~happy(X)<~>~calm(X))=>brave(X)))&
(((~funny(lucy)<~>~curious(lucy)))=>((funny(susan)&strong(susan))))&
(![X]:((~stron... | ~calm(mary) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1750286068837110309960895
% SZS output start Proof for 1750286068837110309960895
1. ! [X0] : (~strong(X0) <=> ~patient(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~old(X0)) => (~strong(X0) & generous(X0))) [input p1]
3. ! [X0] : ((strong(X0) & wise(X0)) <=> ~funny(X0)) [input p2]
4. ! [... | 0 |
Everyone who is both not quiet and not generous is happy or not brave.
Everyone who is strong is not generous or rich.
If paul is not patient or kind then lucy is either brave or quiet.
Everyone who is not patient or not quiet is not calm.
If alice is both not calm and not curious then mary is not kind and vice versa.
... | Paul is quiet. | neutral | (![X]:((~quiet(X)&~generous(X))=>(happy(X)|~brave(X))))&
(![X]:(strong(X)=>(~generous(X)|rich(X))))&
(((~patient(paul)|kind(paul)))=>((brave(lucy)<~>quiet(lucy))))&
(![X]:((~patient(X)|~quiet(X))=>~calm(X)))&
(((~calm(alice)&~curious(alice)))<=>(~kind(mary)))&
(![X]:((old(X)|~humble(X))<=>(patient(X)&~brave(X))))&
((?[... | quiet(paul) | [] | null | 0 |
Everyone who is both not calm and old is not old and vice versa.
If someone is both not humble and not generous then someone is both not kind and generous.
If someone is creative or calm then someone is strong or brave.
If susan is both not rich and not brave then fred is funny.
Everyone who is either creative or old i... | Lucy is patient. | entailment | (![X]:((~calm(X)&old(X))<=>~old(X)))&
((?[X]:((~humble(X)&~generous(X))))=>(?[X]:((~kind(X)&generous(X)))))&
((?[X]:((creative(X)|calm(X))))=>(?[X]:((strong(X)|brave(X)))))&
(((~rich(susan)&~brave(susan)))=>(funny(fred)))&
(![X]:((creative(X)<~>old(X))<=>(~generous(X)<~>~creative(X))))&
((~creative(susan))=>(?[X]:((cre... | patient(lucy) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4261602325216534840179969
% SZS output start Proof for 4261602325216534840179969
1. ! [X0] : ((old(X0) & ~calm(X0)) <=> ~old(X0)) [input p0]
11. ! [X0] : (~patient(X0) <=> ~old(X0)) [input p10]
21. ~patient(lucy) [input hypothesis]
33. ! [X0] : (((old(X0) & ~calm(X0)) | old(X0)) & (~old(X... | 0 |
If lucy is not strong or strong then lucy is not rich or creative and vice versa.
Everyone who is either not creative or not generous is both not humble and not calm.
Everyone who is generous is not rich and vice versa.
Everyone who is either not humble or generous is kind or humble.
If john is not patient or not curio... | Fred is wise. | neutral | (((~strong(lucy)|strong(lucy)))<=>((~rich(lucy)|creative(lucy))))&
(![X]:((~creative(X)<~>~generous(X))=>(~humble(X)&~calm(X))))&
(![X]:(generous(X)<=>~rich(X)))&
(![X]:((~humble(X)<~>generous(X))=>(kind(X)|humble(X))))&
(((~patient(john)|~curious(john)))<=>(?[X]:((~quiet(X)&~patient(X)))))&
(![X]:((humble(X)<~>~humble... | wise(fred) | [] | null | 0 |
Everyone who is either funny or not calm is both not funny and not creative and vice versa.
If susan is either not tall or not kind then someone is either not strong or not wise and vice versa.
If alice is both humble and kind then someone is either not old or not kind.
If fred is not kind or not happy then someone is ... | Mary is not strong. | neutral | (![X]:((funny(X)<~>~calm(X))<=>(~funny(X)&~creative(X))))&
(((~tall(susan)<~>~kind(susan)))<=>(?[X]:((~strong(X)<~>~wise(X)))))&
(((humble(alice)&kind(alice)))=>(?[X]:((~old(X)<~>~kind(X)))))&
(((~kind(fred)|~happy(fred)))<=>(?[X]:(~calm(X))))&
(![X]:((~tall(X)<~>~humble(X))<=>(~wise(X)<~>~humble(X))))&
((~humble(paul)... | ~strong(mary) | [] | null | 0 |
If someone is not kind then paul is both not brave and not patient.
If someone is either creative or humble then paul is either not old or not happy.
If lucy is either not happy or not quiet then lucy is not brave or not strong.
Everyone who is happy is quiet.
If susan is either wise or not strong then susan is wise an... | Susan is patient. | neutral | ((?[X]:(~kind(X)))=>((~brave(paul)&~patient(paul))))&
((?[X]:((creative(X)<~>humble(X))))=>((~old(paul)<~>~happy(paul))))&
(((~happy(lucy)<~>~quiet(lucy)))=>((~brave(lucy)|~strong(lucy))))&
(![X]:(happy(X)=>quiet(X)))&
(((wise(susan)<~>~strong(susan)))<=>(wise(susan)))&
((?[X]:(funny(X)))<=>((~calm(mary)&~curious(mary)... | patient(susan) | [] | null | 0 |
Everyone who is both brave and patient is not curious or not happy and vice versa. Everyone who is strong or wise is not happy or calm. If alice is either not calm or wise then mary is both funny and not happy and vice versa. If someone is both not generous and funny then lucy is generous and vice versa. If someone is ... | Lucy is patient. | neutral | (![X]:((brave(X)&patient(X))<=>(~curious(X)|~happy(X))))&
(![X]:((strong(X)|wise(X))=>(~happy(X)|calm(X))))&
(((~calm(alice)<~>wise(alice)))<=>((funny(mary)&~happy(mary))))&
((?[X]:((~generous(X)&funny(X))))<=>(generous(lucy)))&
((?[X]:((~curious(X)|~old(X))))<=>((generous(john)|~funny(john))))&
((?[X]:((old(X)<~>~wise... | patient(lucy) | [] | null | 0 |
Everyone who is either not calm or not generous is not funny.
If alice is not tall or not happy then someone is funny or not happy and vice versa.
Everyone who is quiet or not curious is either not funny or not quiet.
If john is not humble then paul is not humble and vice versa.
If paul is either wise or quiet then luc... | Fred is strong. | contradiction | (![X]:((~calm(X)<~>~generous(X))=>~funny(X)))&
(((~tall(alice)|~happy(alice)))<=>(?[X]:((funny(X)|~happy(X)))))&
(![X]:((quiet(X)|~curious(X))=>(~funny(X)<~>~quiet(X))))&
((~humble(john))<=>(~humble(paul)))&
(((wise(paul)<~>quiet(paul)))<=>((funny(lucy)|~creative(lucy))))&
((?[X]:(humble(X)))<=>(?[X]:(generous(X))))&
(... | strong(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 738945954521156237634413
% SZS output start Proof for 738945954521156237634413
16. ! [X0] : ((~tall(X0) | strong(X0)) => (~strong(X0) & funny(X0))) [input p15]
24. strong(fred) [input hypothesis]
41. ! [X0] : ((~strong(X0) & funny(X0)) | (tall(X0) & ~strong(X0))) [ennf transformation 16]
... | 0 |
If fred is patient then fred is either not brave or quiet and vice versa.
If susan is not generous then someone is rich and vice versa.
Everyone who is either not tall or rich is both happy and tall.
Everyone who is either wise or tall is not brave.
If susan is either kind or not humble then someone is happy or patient... | John is generous. | neutral | ((patient(fred))<=>((~brave(fred)<~>quiet(fred))))&
((~generous(susan))<=>(?[X]:(rich(X))))&
(![X]:((~tall(X)<~>rich(X))=>(happy(X)&tall(X))))&
(![X]:((wise(X)<~>tall(X))=>~brave(X)))&
(((kind(susan)<~>~humble(susan)))<=>(?[X]:((happy(X)|patient(X)))))&
(![X]:((~creative(X)|rich(X))<=>(quiet(X)<~>~curious(X))))&
(![X]:... | generous(john) | [] | null | 0 |
Everyone who is quiet or funny is either kind or funny and vice versa.
Everyone who is either happy or not patient is calm.
Everyone who is either generous or old is not curious and vice versa.
If alice is either not kind or not brave then paul is not happy or rich and vice versa.
Everyone who is kind is either not qui... | Mary is not generous. | entailment | (![X]:((quiet(X)|funny(X))<=>(kind(X)<~>funny(X))))&
(![X]:((happy(X)<~>~patient(X))=>calm(X)))&
(![X]:((generous(X)<~>old(X))<=>~curious(X)))&
(((~kind(alice)<~>~brave(alice)))<=>((~happy(paul)|rich(paul))))&
(![X]:(kind(X)=>(~quiet(X)<~>~curious(X))))&
(![X]:((~wise(X)|~brave(X))<=>(calm(X)|~old(X))))&
(![X]:((strong... | ~generous(mary) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"p12",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4181182692609810646267626
% SZS output start Proof for 4181182692609810646267626
1. ! [X0] : ((funny(X0) | quiet(X0)) <=> (kind(X0) <~> funny(X0))) [input p0]
2. ! [X0] : ((happy(X0) <~> ~patient(X0)) => calm(X0)) [input p1]
3. ! [X0] : ((generous(X0) <~> old(X0)) <=> ~curious(X0)) [input... | 0 |
Everyone who is both not old and not wise is not old or not generous. If someone is either not patient or not funny then someone is both not strong and not happy and vice versa. If someone is either brave or not tall then someone is not rich. Everyone who is both patient and funny is generous and vice versa. Everyone w... | Mary is old. | entailment | (![X]:((~old(X)&~wise(X))=>(~old(X)|~generous(X))))&
((?[X]:((~patient(X)<~>~funny(X))))<=>(?[X]:((~strong(X)&~happy(X)))))&
((?[X]:((brave(X)<~>~tall(X))))=>(?[X]:(~rich(X))))&
(![X]:((patient(X)&funny(X))<=>generous(X)))&
(![X]:(~brave(X)=>(~creative(X)|~brave(X))))&
(((~tall(mary)<~>happy(mary)))=>(?[X]:((~rich(X)|~... | old(mary) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7285017009251552175423099
% SZS output start Proof for 7285017009251552175423099
13. ! [X0] : ((old(X0) & ~curious(X0)) <=> ~calm(X0)) [input p12]
15. ! [X0] : (calm(X0) <=> (~rich(X0) & rich(X0))) [input p14]
25. ~old(mary) [input hypothesis]
69. ! [X0] : (((old(X0) & ~curious(X0)) | cal... | 0 |
If alice is both rich and not quiet then fred is either not wise or funny and vice versa. Everyone who is both not quiet and humble is not creative and vice versa. Everyone who is either not curious or not creative is not strong or happy. Everyone who is either not funny or old is old or not funny. Everyone who is gene... | Paul is kind. | neutral | (((rich(alice)&~quiet(alice)))<=>((~wise(fred)<~>funny(fred))))&
(![X]:((~quiet(X)&humble(X))<=>~creative(X)))&
(![X]:((~curious(X)<~>~creative(X))=>(~strong(X)|happy(X))))&
(![X]:((~funny(X)<~>old(X))=>(old(X)|~funny(X))))&
(![X]:(generous(X)<=>(~quiet(X)|creative(X))))&
((?[X]:(~rich(X)))<=>((~old(lucy)<~>~patient(lu... | kind(paul) | [] | null | 0 |
If someone is either not curious or tall then fred is not patient or kind.
If alice is both not funny and not happy then someone is either rich or not curious and vice versa.
If john is not humble or calm then john is either brave or not rich and vice versa.
Everyone who is both quiet and happy is old or happy and vice... | Mary is curious. | entailment | ((?[X]:((~curious(X)<~>tall(X))))=>((~patient(fred)|kind(fred))))&
(((~funny(alice)&~happy(alice)))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(((~humble(john)|calm(john)))<=>((brave(john)<~>~rich(john))))&
(![X]:((quiet(X)&happy(X))<=>(old(X)|happy(X))))&
(((~curious(mary)&rich(mary)))=>(?[X]:((rich(X)&~strong(X)))))&
(![X]... | curious(mary) | [
"p6",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5226424706868793033597627
% SZS output start Proof for 5226424706868793033597627
7. ! [X0] : ((quiet(X0) <~> ~funny(X0)) <=> (creative(X0) & generous(X0))) [input p6]
8. ! [X0] : ((calm(X0) | tall(X0)) => ~generous(X0)) [input p7]
10. ! [X0] : ((~quiet(X0) & ~curious(X0)) <=> ~generous(X0... | 0 |
Everyone who is happy or tall is not funny or not tall and vice versa.
If someone is not patient or wise then alice is rich and vice versa.
Everyone who is either not happy or not generous is funny or tall.
If someone is creative or not wise then someone is both quiet and not creative and vice versa.
If paul is old or ... | Paul is humble. | neutral | (![X]:((happy(X)|tall(X))<=>(~funny(X)|~tall(X))))&
((?[X]:((~patient(X)|wise(X))))<=>(rich(alice)))&
(![X]:((~happy(X)<~>~generous(X))=>(funny(X)|tall(X))))&
((?[X]:((creative(X)|~wise(X))))<=>(?[X]:((quiet(X)&~creative(X)))))&
(((old(paul)|creative(paul)))<=>((rich(alice)&wise(alice))))&
(![X]:(creative(X)=>(quiet(X)... | humble(paul) | [] | 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 not curious. | 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))... | ~curious(alice) | [] | null | 0 |
Everyone who is either not kind or not old is not creative or not generous.
Everyone who is funny or generous is either calm or creative.
If someone is either not brave or old then susan is either calm or not creative.
If someone is either calm or kind then fred is either quiet or not strong and vice versa.
Everyone wh... | Paul is old. | contradiction | (![X]:((~kind(X)<~>~old(X))=>(~creative(X)|~generous(X))))&
(![X]:((funny(X)|generous(X))=>(calm(X)<~>creative(X))))&
((?[X]:((~brave(X)<~>old(X))))=>((calm(susan)<~>~creative(susan))))&
((?[X]:((calm(X)<~>kind(X))))<=>((quiet(fred)<~>~strong(fred))))&
(![X]:((~humble(X)&quiet(X))=>strong(X)))&
((?[X]:((~creative(X)|fu... | old(paul) | [
"p2",
"p7",
"p8",
"p9",
"p10",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3988115064811182471510850
% SZS output start Proof for 3988115064811182471510850
3. ? [X0] : (~brave(X0) <~> old(X0)) => (calm(susan) <~> ~creative(susan)) [input p2]
8. ! [X0] : ((~old(X0) <~> ~wise(X0)) => (brave(X0) | happy(X0))) [input p7]
9. ! [X0] : ((humble(X0) <~> old(X0)) <=> (wi... | 0 |
Everyone who is tall or rich is either rich or patient. Everyone who is funny is not patient or wise. If someone is funny or not quiet then someone is generous and vice versa. If someone is either not wise or old then someone is not creative or not quiet and vice versa. If someone is both wise and not generous then luc... | Lucy is not happy. | contradiction | (![X]:((tall(X)|rich(X))=>(rich(X)<~>patient(X))))&
(![X]:(funny(X)=>(~patient(X)|wise(X))))&
((?[X]:((funny(X)|~quiet(X))))<=>(?[X]:(generous(X))))&
((?[X]:((~wise(X)<~>old(X))))<=>(?[X]:((~creative(X)|~quiet(X)))))&
((?[X]:((wise(X)&~generous(X))))=>((funny(lucy)|happy(lucy))))&
((?[X]:((~brave(X)&quiet(X))))<=>(happ... | ~happy(lucy) | [
"p2",
"p4",
"p7",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8714201254910598386538574
% SZS output start Proof for 8714201254910598386538574
3. ? [X0] : (~quiet(X0) | funny(X0)) <=> ? [X0] : generous(X0) [input p2]
5. ? [X0] : (~generous(X0) & wise(X0)) => (happy(lucy) | funny(lucy)) [input p4]
8. ! [X0] : ((generous(X0) | ~humble(X0)) => (~genero... | 0 |
Everyone who is either not quiet or calm is both not creative and not curious and vice versa.
If someone is not creative then someone is both kind and not old and vice versa.
If fred is tall then someone is either tall or creative and vice versa.
If lucy is not happy then someone is rich.
Everyone who is generous or no... | Alice is quiet. | entailment | (![X]:((~quiet(X)<~>calm(X))<=>(~creative(X)&~curious(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((kind(X)&~old(X)))))&
((tall(fred))<=>(?[X]:((tall(X)<~>creative(X)))))&
((~happy(lucy))=>(?[X]:(rich(X))))&
(![X]:((generous(X)|~rich(X))=>(funny(X)<~>~humble(X))))&
(![X]:(creative(X)<=>(~creative(X)<~>~calm(X))))&
(((tall(lu... | quiet(alice) | [
"p0",
"p5",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2745888855819771107832075
% SZS output start Proof for 2745888855819771107832075
1. ! [X0] : ((~quiet(X0) <~> calm(X0)) <=> (~curious(X0) & ~creative(X0))) [input p0]
6. ! [X0] : (creative(X0) <=> (~creative(X0) <~> ~calm(X0))) [input p5]
11. ! [X0] : (strong(X0) <=> (kind(X0) | ~curious(... | 0 |
Everyone who is both not humble and not old is both not creative and not old and vice versa.
Everyone who is either creative or tall is both calm and not old and vice versa.
Everyone who is either wise or strong is either not quiet or not curious and vice versa.
Everyone who is either not brave or not happy is not quie... | Lucy is curious. | neutral | (![X]:((~humble(X)&~old(X))<=>(~creative(X)&~old(X))))&
(![X]:((creative(X)<~>tall(X))<=>(calm(X)&~old(X))))&
(![X]:((wise(X)<~>strong(X))<=>(~quiet(X)<~>~curious(X))))&
(![X]:((~brave(X)<~>~happy(X))<=>(~quiet(X)|calm(X))))&
(![X]:(brave(X)<=>~tall(X)))&
(![X]:((~patient(X)<~>~strong(X))=>wise(X)))&
(![X]:((~wise(X)<~... | curious(lucy) | [] | null | 0 |
If susan is both quiet and brave then fred is quiet.
Everyone who is either kind or not kind is either generous or not kind.
Everyone who is not creative is either kind or not brave and vice versa.
Everyone who is brave is either not strong or wise and vice versa.
If someone is either not humble or tall then someone is... | Susan is not brave. | entailment | (((quiet(susan)&brave(susan)))=>(quiet(fred)))&
(![X]:((kind(X)<~>~kind(X))=>(generous(X)<~>~kind(X))))&
(![X]:(~creative(X)<=>(kind(X)<~>~brave(X))))&
(![X]:(brave(X)<=>(~strong(X)<~>wise(X))))&
((?[X]:((~humble(X)<~>tall(X))))<=>(?[X]:(~curious(X))))&
((?[X]:((humble(X)|~funny(X))))<=>(?[X]:(happy(X))))&
(((strong(lu... | ~brave(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3068196077523157593772765
% SZS output start Proof for 3068196077523157593772765
15. ! [X0] : ((rich(X0) | brave(X0)) => (happy(X0) & ~brave(X0))) [input p14]
25. brave(susan) [input hypothesis]
38. ! [X0] : ((happy(X0) & ~brave(X0)) | (~rich(X0) & ~brave(X0))) [ennf transformation 15]
14... | 0 |
If someone is rich then someone is either strong or not strong. If alice is either not quiet or old then someone is both wise and not calm and vice versa. Everyone who is generous or not tall is either not calm or not humble and vice versa. Everyone who is either not rich or creative is both brave and creative. If alic... | Paul is generous. | entailment | ((?[X]:(rich(X)))=>(?[X]:((strong(X)<~>~strong(X)))))&
(((~quiet(alice)<~>old(alice)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((generous(X)|~tall(X))<=>(~calm(X)<~>~humble(X))))&
(![X]:((~rich(X)<~>creative(X))=>(brave(X)&creative(X))))&
(((~humble(alice)&curious(alice)))<=>(?[X]:((old(X)&strong(X)))))&
((?[X]:((quiet(X... | generous(paul) | [
"p2",
"p5",
"p6",
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8931314148753891795838083
% SZS output start Proof for 8931314148753891795838083
3. ! [X0] : ((~tall(X0) | generous(X0)) <=> (~calm(X0) <~> ~humble(X0))) [input p2]
6. ? [X0] : (~funny(X0) & quiet(X0)) <=> ? [X0] : (wise(X0) | calm(X0)) [input p5]
7. ! [X0] : ((happy(X0) & ~strong(X0)) =>... | 0 |
Everyone who is not happy or not strong is not patient or not humble and vice versa.
Everyone who is patient is both not patient and kind.
Everyone who is funny is both strong and quiet.
Everyone who is not funny or not rich is both patient and not generous and vice versa.
Everyone who is calm or not curious is both no... | Mary is not tall. | entailment | (![X]:((~happy(X)|~strong(X))<=>(~patient(X)|~humble(X))))&
(![X]:(patient(X)=>(~patient(X)&kind(X))))&
(![X]:(funny(X)=>(strong(X)&quiet(X))))&
(![X]:((~funny(X)|~rich(X))<=>(patient(X)&~generous(X))))&
(![X]:((calm(X)|~curious(X))=>(~curious(X)&~brave(X))))&
(((generous(mary)<~>~kind(mary)))<=>(?[X]:((old(X)&brave(X)... | ~tall(mary) | [
"p0",
"p1",
"p2",
"p3",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4138343045513028648682077
% SZS output start Proof for 4138343045513028648682077
1. ! [X0] : ((~strong(X0) | ~happy(X0)) <=> (~humble(X0) | ~patient(X0))) [input p0]
2. ! [X0] : (patient(X0) => (kind(X0) & ~patient(X0))) [input p1]
3. ! [X0] : (funny(X0) => (quiet(X0) & strong(X0))) [inpu... | 0 |
Everyone who is quiet is generous or not old.
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 and calm and vice versa.
Everyone who is not quiet is not patient and vice ve... | Lucy is not humble. | neutral | (![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(X)<~>~kind(X))=>(strong(X)<~>~rich(X))))&
((?[X]:(~quiet... | ~humble(lucy) | [] | null | 0 |
If lucy is both not kind and not old then someone is either not happy or happy.
Everyone who is either not brave or not strong is patient or kind and vice versa.
Everyone who is either not old or patient is brave and vice versa.
Everyone who is either humble or not generous is either not old or not humble.
If someone i... | Lucy is not calm. | neutral | (((~kind(lucy)&~old(lucy)))=>(?[X]:((~happy(X)<~>happy(X)))))&
(![X]:((~brave(X)<~>~strong(X))<=>(patient(X)|kind(X))))&
(![X]:((~old(X)<~>patient(X))<=>brave(X)))&
(![X]:((humble(X)<~>~generous(X))=>(~old(X)<~>~humble(X))))&
((?[X]:((strong(X)&kind(X))))<=>(~generous(paul)))&
(![X]:((~humble(X)&~brave(X))<=>(funny(X)<... | ~calm(lucy) | [] | null | 0 |
If fred is strong or not funny then someone is either not kind or quiet.
If john is either not patient or quiet then john is funny.
Everyone who is both not wise and quiet is old or not patient.
Everyone who is humble is either not creative or not rich and vice versa.
Everyone who is both rich and not patient is both n... | Susan is not creative. | entailment | (((strong(fred)|~funny(fred)))=>(?[X]:((~kind(X)<~>quiet(X)))))&
(((~patient(john)<~>quiet(john)))=>(funny(john)))&
(![X]:((~wise(X)&quiet(X))=>(old(X)|~patient(X))))&
(![X]:(humble(X)<=>(~creative(X)<~>~rich(X))))&
(![X]:((rich(X)&~patient(X))<=>(~happy(X)&wise(X))))&
(![X]:((~old(X)<~>~humble(X))<=>~wise(X)))&
(((~pa... | ~creative(susan) | [
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2216701133801971225169585
% SZS output start Proof for 2216701133801971225169585
12. ! [X0] : ((~creative(X0) <~> ~wise(X0)) => funny(X0)) [input p11]
20. ~wise(susan) & ~funny(susan) [input p19]
24. creative(susan) [input hypothesis]
33. ! [X0] : (funny(X0) | (~creative(X0) <=> ~wise(X0)... | 0 |
Everyone who is either quiet or not funny is either brave or kind.
If someone is either generous or curious then someone is wise and vice versa.
If alice is either not quiet or not wise then someone is both strong and not quiet.
Everyone who is not brave or strong is either generous or wise.
Everyone who is not kind or... | Fred is generous. | contradiction | (![X]:((quiet(X)<~>~funny(X))=>(brave(X)<~>kind(X))))&
((?[X]:((generous(X)<~>curious(X))))<=>(?[X]:(wise(X))))&
(((~quiet(alice)<~>~wise(alice)))=>(?[X]:((strong(X)&~quiet(X)))))&
(![X]:((~brave(X)|strong(X))=>(generous(X)<~>wise(X))))&
(![X]:((~kind(X)|wise(X))=>(kind(X)<~>humble(X))))&
(((~curious(lucy)<~>humble(luc... | generous(fred) | [
"p3",
"p7",
"p9",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 821153451994584526457787
% SZS output start Proof for 821153451994584526457787
4. ! [X0] : ((strong(X0) | ~brave(X0)) => (generous(X0) <~> wise(X0))) [input p3]
8. ! [X0] : (~strong(X0) <=> patient(X0)) [input p7]
10. ! [X0] : ((funny(X0) | patient(X0)) => (~tall(X0) & ~humble(X0))) [inpu... | 0 |
If fred is old or not patient then someone is not generous or tall.
If susan is either not creative or funny then someone is either not brave or tall.
If someone is wise or patient then someone is both funny and rich.
Everyone who is both strong and creative is brave or not happy and vice versa.
Everyone who is both no... | Alice is not patient. | entailment | (((old(fred)|~patient(fred)))=>(?[X]:((~generous(X)|tall(X)))))&
(((~creative(susan)<~>funny(susan)))=>(?[X]:((~brave(X)<~>tall(X)))))&
((?[X]:((wise(X)|patient(X))))=>(?[X]:((funny(X)&rich(X)))))&
(![X]:((strong(X)&creative(X))<=>(brave(X)|~happy(X))))&
(![X]:((~funny(X)&funny(X))<=>~tall(X)))&
(![X]:(~tall(X)=>(quiet... | ~patient(alice) | [
"p3",
"p4",
"p6",
"p9",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6234618773718853600496684
% SZS output start Proof for 6234618773718853600496684
4. ! [X0] : ((creative(X0) & strong(X0)) <=> (~happy(X0) | brave(X0))) [input p3]
5. ! [X0] : ((funny(X0) & ~funny(X0)) <=> ~tall(X0)) [input p4]
7. ~tall(mary) <=> ? [X0] : (~brave(X0) | ~rich(X0)) [input p6... | 0 |
Everyone who is not rich or not old is both patient and funny. If someone is either old or brave then susan is rich and vice versa. If lucy is not generous then susan is old and vice versa. Everyone who is not quiet is both patient and not humble and vice versa. Everyone who is not patient or not quiet is quiet or funn... | John is not patient. | entailment | (![X]:((~rich(X)|~old(X))=>(patient(X)&funny(X))))&
((?[X]:((old(X)<~>brave(X))))<=>(rich(susan)))&
((~generous(lucy))<=>(old(susan)))&
(![X]:(~quiet(X)<=>(patient(X)&~humble(X))))&
(![X]:((~patient(X)|~quiet(X))<=>(quiet(X)|funny(X))))&
((?[X]:(humble(X)))=>(kind(john)))&
(((calm(paul)&~rich(paul)))=>(?[X]:((~brave(X)... | ~patient(john) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1006088648660366017242721
% SZS output start Proof for 1006088648660366017242721
5. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> (funny(X0) | quiet(X0))) [input p4]
13. ! [X0] : (~quiet(X0) => (~funny(X0) & happy(X0))) [input p12]
24. patient(john) [input hypothesis]
35. ! [X0] : ((~funny(X0... | 0 |
If lucy is not tall then mary is not creative and vice versa. Everyone who is both not tall and strong is not quiet or not funny and vice versa. If mary is not curious or kind then fred is both creative and funny. Everyone who is generous is either happy or not quiet and vice versa. If paul is happy then john is quiet ... | Fred is not curious. | entailment | ((~tall(lucy))<=>(~creative(mary)))&
(![X]:((~tall(X)&strong(X))<=>(~quiet(X)|~funny(X))))&
(((~curious(mary)|kind(mary)))=>((creative(fred)&funny(fred))))&
(![X]:(generous(X)<=>(happy(X)<~>~quiet(X))))&
((happy(paul))<=>(quiet(john)))&
(![X]:((~calm(X)&~kind(X))=>funny(X)))&
(![X]:((~strong(X)|~rich(X))=>(~humble(X)|p... | ~curious(fred) | [
"p1",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2729986611321516249357091
% SZS output start Proof for 2729986611321516249357091
2. ! [X0] : ((strong(X0) & ~tall(X0)) <=> (~funny(X0) | ~quiet(X0))) [input p1]
9. ! [X0] : ((humble(X0) & curious(X0)) <=> (~humble(X0) <~> ~quiet(X0))) [input p8]
11. ! [X0] : ((~old(X0) & ~strong(X0)) <=> ... | 0 |
Everyone who is either not quiet or calm is both not creative and not curious and vice versa.
If someone is rich then someone is patient and vice versa.
If someone is humble or not kind then fred is not strong or generous and vice versa.
If paul is not strong or not calm then someone is both not calm and humble and vic... | Fred is generous. | neutral | (![X]:((~quiet(X)<~>calm(X))<=>(~creative(X)&~curious(X))))&
((?[X]:(rich(X)))<=>(?[X]:(patient(X))))&
((?[X]:((humble(X)|~kind(X))))<=>((~strong(fred)|generous(fred))))&
(((~strong(paul)|~calm(paul)))<=>(?[X]:((~calm(X)&humble(X)))))&
(![X]:(tall(X)<=>(old(X)|patient(X))))&
(![X]:(patient(X)<=>(funny(X)&~quiet(X))))&
... | generous(fred) | [] | null | 0 |
Everyone who is not rich or not funny is generous. Everyone who is either quiet or happy is both not funny and not curious and vice versa. If someone is both wise and happy then someone is not humble and vice versa. Everyone who is not wise is not kind or humble and vice versa. Everyone who is rich is both not rich and... | Lucy is kind. | contradiction | (![X]:((~rich(X)|~funny(X))=>generous(X)))&
(![X]:((quiet(X)<~>happy(X))<=>(~funny(X)&~curious(X))))&
((?[X]:((wise(X)&happy(X))))<=>(?[X]:(~humble(X))))&
(![X]:(~wise(X)<=>(~kind(X)|humble(X))))&
(![X]:(rich(X)<=>(~rich(X)&quiet(X))))&
(![X]:((~old(X)|humble(X))<=>(~tall(X)|~humble(X))))&
((?[X]:((~happy(X)<~>~rich(X)... | kind(lucy) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p10",
"p12",
"p15",
"p16",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4866997477726427380302850
% SZS output start Proof for 4866997477726427380302850
1. ! [X0] : ((~funny(X0) | ~rich(X0)) => generous(X0)) [input p0]
3. ? [X0] : (happy(X0) & wise(X0)) <=> ? [X0] : ~humble(X0) [input p2]
4. ! [X0] : (~wise(X0) <=> (humble(X0) | ~kind(X0))) [input p3]
5. ! [X... | 0 |
Everyone who is not funny is not wise and vice versa.
If someone is tall then john is both not wise and strong and vice versa.
If mary is both generous and not humble then someone is not curious or patient and vice versa.
Everyone who is either humble or not generous is not kind and vice versa.
Everyone who is either n... | Alice is rich. | entailment | (![X]:(~funny(X)<=>~wise(X)))&
((?[X]:(tall(X)))<=>((~wise(john)&strong(john))))&
(((generous(mary)&~humble(mary)))<=>(?[X]:((~curious(X)|patient(X)))))&
(![X]:((humble(X)<~>~generous(X))<=>~kind(X)))&
(![X]:((~old(X)<~>strong(X))<=>(rich(X)<~>~generous(X))))&
(![X]:((~rich(X)|brave(X))<=>(~wise(X)&humble(X))))&
(![X]:... | rich(alice) | [
"p2",
"p3",
"p5",
"p6",
"p8",
"p9",
"p11",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8593530975672128556137017
% SZS output start Proof for 8593530975672128556137017
3. (~humble(mary) & generous(mary)) <=> ? [X0] : (patient(X0) | ~curious(X0)) [input p2]
4. ! [X0] : ((humble(X0) <~> ~generous(X0)) <=> ~kind(X0)) [input p3]
6. ! [X0] : ((brave(X0) | ~rich(X0)) <=> (humble(... | 0 |
If someone is either not quiet or not funny then mary is funny.
Everyone who is not rich or humble is both brave and tall.
Everyone who is not strong is generous or not rich and vice versa.
If someone is both not tall and not calm then someone is calm.
Everyone who is calm or not brave is quiet.
If someone is both quie... | Mary is not strong. | entailment | ((?[X]:((~quiet(X)<~>~funny(X))))=>(funny(mary)))&
(![X]:((~rich(X)|humble(X))=>(brave(X)&tall(X))))&
(![X]:(~strong(X)<=>(generous(X)|~rich(X))))&
((?[X]:((~tall(X)&~calm(X))))=>(?[X]:(calm(X))))&
(![X]:((calm(X)|~brave(X))=>quiet(X)))&
((?[X]:((quiet(X)&~brave(X))))<=>(?[X]:((~funny(X)<~>patient(X)))))&
(![X]:((~rich... | ~strong(mary) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 529435429151339535161203
% SZS output start Proof for 529435429151339535161203
3. ! [X0] : (~strong(X0) <=> (~rich(X0) | generous(X0))) [input p2]
7. ! [X0] : ((~curious(X0) & ~rich(X0)) <=> (strong(X0) | ~funny(X0))) [input p6]
23. strong(mary) [input hypothesis]
35. ! [X0] : ((~strong(X... | 0 |
If mary is both calm and not old then lucy is both not kind and tall. Everyone who is curious is both not wise and kind. Everyone who is either rich or generous is not funny and vice versa. Everyone who is rich is quiet. If susan is tall or generous then lucy is either not wise or rich. Everyone who is both not curious... | Fred is kind. | entailment | (((calm(mary)&~old(mary)))=>((~kind(lucy)&tall(lucy))))&
(![X]:(curious(X)=>(~wise(X)&kind(X))))&
(![X]:((rich(X)<~>generous(X))<=>~funny(X)))&
(![X]:(rich(X)=>quiet(X)))&
(((tall(susan)|generous(susan)))=>((~wise(lucy)<~>rich(lucy))))&
(![X]:((~curious(X)&~strong(X))=>(patient(X)&funny(X))))&
(![X]:((creative(X)<~>~ta... | kind(fred) | [
"p1",
"p3",
"p7",
"p8",
"p10",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3767811787365015612591680
% SZS output start Proof for 3767811787365015612591680
2. ! [X0] : (curious(X0) => (kind(X0) & ~wise(X0))) [input p1]
4. ! [X0] : (rich(X0) => quiet(X0)) [input p3]
8. ! [X0] : (rich(X0) <=> (calm(X0) | brave(X0))) [input p7]
9. ? [X0] : (~wise(X0) | generous(X0)... | 0 |
Everyone who is either not patient or brave is rich or kind. Everyone who is both not generous and happy is both calm and wise. Everyone who is either wise or not curious is either not wise or generous. Everyone who is both kind and creative is both not kind and funny and vice versa. Everyone who is either kind or tall... | Alice is not tall. | neutral | (![X]:((~patient(X)<~>brave(X))=>(rich(X)|kind(X))))&
(![X]:((~generous(X)&happy(X))=>(calm(X)&wise(X))))&
(![X]:((wise(X)<~>~curious(X))=>(~wise(X)<~>generous(X))))&
(![X]:((kind(X)&creative(X))<=>(~kind(X)&funny(X))))&
(![X]:((kind(X)<~>tall(X))=>~old(X)))&
(![X]:((~funny(X)|creative(X))<=>(brave(X)&old(X))))&
(![X]:... | ~tall(alice) | [] | null | 0 |
Everyone who is not tall or not humble is both creative and strong.
If someone is not strong or not humble then lucy is not humble or not generous and vice versa.
If someone is both not humble and not calm then someone is either not wise or not happy and vice versa.
If someone is both not rich and happy then someone is... | Paul is not brave. | entailment | (![X]:((~tall(X)|~humble(X))=>(creative(X)&strong(X))))&
((?[X]:((~strong(X)|~humble(X))))<=>((~humble(lucy)|~generous(lucy))))&
((?[X]:((~humble(X)&~calm(X))))<=>(?[X]:((~wise(X)<~>~happy(X)))))&
((?[X]:((~rich(X)&happy(X))))=>(?[X]:((~patient(X)&calm(X)))))&
(![X]:((~funny(X)&quiet(X))<=>~kind(X)))&
(![X]:((quiet(X)<... | ~brave(paul) | [
"p0",
"p2",
"p6",
"p7",
"p8",
"p9",
"p11",
"p12",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2052001569513372159323038
% SZS output start Proof for 2052001569513372159323038
1. ! [X0] : ((~humble(X0) | ~tall(X0)) => (strong(X0) & creative(X0))) [input p0]
3. ? [X0] : (~calm(X0) & ~humble(X0)) <=> ? [X0] : (~wise(X0) <~> ~happy(X0)) [input p2]
7. ! [X0] : ((humble(X0) & kind(X0)) ... | 0 |
Everyone who is either funny or humble is not old or wise. Everyone who is quiet is not tall or not quiet. Everyone who is either strong or wise is not wise. Everyone who is not kind or not curious is both not patient and not old. If someone is calm or rich then lucy is not happy or tall. Everyone who is either not ric... | Alice is not old. | entailment | (![X]:((funny(X)<~>humble(X))=>(~old(X)|wise(X))))&
(![X]:(quiet(X)=>(~tall(X)|~quiet(X))))&
(![X]:((strong(X)<~>wise(X))=>~wise(X)))&
(![X]:((~kind(X)|~curious(X))=>(~patient(X)&~old(X))))&
((?[X]:((calm(X)|rich(X))))=>((~happy(lucy)|tall(lucy))))&
(![X]:((~rich(X)<~>~happy(X))<=>(patient(X)|generous(X))))&
((?[X]:((b... | ~old(alice) | [
"p1",
"p3",
"p5",
"p11",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6978517412882520763709337
% SZS output start Proof for 6978517412882520763709337
2. ! [X0] : (quiet(X0) => (~quiet(X0) | ~tall(X0))) [input p1]
4. ! [X0] : ((~curious(X0) | ~kind(X0)) => (~old(X0) & ~patient(X0))) [input p3]
6. ! [X0] : ((~rich(X0) <~> ~happy(X0)) <=> (generous(X0) | pati... | 0 |
If lucy is old then susan is either not creative or not strong.
Everyone who is brave is not kind or happy.
If fred is not old then alice is calm and vice versa.
If someone is both kind and calm then someone is wise and vice versa.
Everyone who is not curious or not calm is both tall and humble.
Everyone who is both no... | Alice is not funny. | neutral | ((old(lucy))=>((~creative(susan)<~>~strong(susan))))&
(![X]:(brave(X)=>(~kind(X)|happy(X))))&
((~old(fred))<=>(calm(alice)))&
((?[X]:((kind(X)&calm(X))))<=>(?[X]:(wise(X))))&
(![X]:((~curious(X)|~calm(X))=>(tall(X)&humble(X))))&
(![X]:((~tall(X)&funny(X))<=>(wise(X)&brave(X))))&
(![X]:(~wise(X)<=>(~quiet(X)<~>~tall(X))... | ~funny(alice) | [] | null | 0 |
If alice is not wise or not strong then someone is both not generous and curious.
Everyone who is not old or not quiet is both patient and calm.
If susan is either not calm or quiet then someone is not curious.
If alice is kind then someone is not humble.
Everyone who is not quiet or patient is both not curious and not... | Fred is not old. | contradiction | (((~wise(alice)|~strong(alice)))=>(?[X]:((~generous(X)&curious(X)))))&
(![X]:((~old(X)|~quiet(X))=>(patient(X)&calm(X))))&
(((~calm(susan)<~>quiet(susan)))=>(?[X]:(~curious(X))))&
((kind(alice))=>(?[X]:(~humble(X))))&
(![X]:((~quiet(X)|patient(X))=>(~curious(X)&~funny(X))))&
(![X]:((old(X)|calm(X))<=>(creative(X)|brave... | ~old(fred) | [
"p1",
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9031886457065212866404753
% SZS output start Proof for 9031886457065212866404753
2. ! [X0] : ((~quiet(X0) | ~old(X0)) => (calm(X0) & patient(X0))) [input p1]
7. ! [X0] : (~happy(X0) <=> (quiet(X0) | kind(X0))) [input p6]
8. ? [X0] : (patient(X0) & ~old(X0)) <=> ? [X0] : (~quiet(X0) & rich... | 0 |
If susan is humble or calm then someone is both old and not curious and vice versa.
Everyone who is either rich or strong is quiet or not generous and vice versa.
Everyone who is not funny is humble or not brave.
If lucy is either not wise or strong then lucy is not rich or not funny.
Everyone who is rich or not quiet ... | Susan is not funny. | entailment | (((humble(susan)|calm(susan)))<=>(?[X]:((old(X)&~curious(X)))))&
(![X]:((rich(X)<~>strong(X))<=>(quiet(X)|~generous(X))))&
(![X]:(~funny(X)=>(humble(X)|~brave(X))))&
(((~wise(lucy)<~>strong(lucy)))=>((~rich(lucy)|~funny(lucy))))&
(![X]:((rich(X)|~quiet(X))<=>funny(X)))&
((?[X]:((generous(X)&~funny(X))))=>(?[X]:((tall(X... | ~funny(susan) | [
"p1",
"p4",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 424865632881231888123231
% SZS output start Proof for 424865632881231888123231
2. ! [X0] : ((rich(X0) <~> strong(X0)) <=> (~generous(X0) | quiet(X0))) [input p1]
5. ! [X0] : ((~quiet(X0) | rich(X0)) <=> funny(X0)) [input p4]
11. ! [X0] : ((~brave(X0) <~> curious(X0)) <=> (~generous(X0) & ... | 0 |
Everyone who is not brave or funny is either calm or not happy. If someone is either quiet or not curious then mary is either rich or strong. Everyone who is not calm or old is rich or kind. Everyone who is not curious is either old or creative. If someone is not creative or rich then susan is not calm or tall and vice... | Lucy is not curious. | contradiction | (![X]:((~brave(X)|funny(X))=>(calm(X)<~>~happy(X))))&
((?[X]:((quiet(X)<~>~curious(X))))=>((rich(mary)<~>strong(mary))))&
(![X]:((~calm(X)|old(X))=>(rich(X)|kind(X))))&
(![X]:(~curious(X)=>(old(X)<~>creative(X))))&
((?[X]:((~creative(X)|rich(X))))<=>((~calm(susan)|tall(susan))))&
((?[X]:((~humble(X)<~>generous(X))))=>(... | ~curious(lucy) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4119049462183722407954530
% SZS output start Proof for 4119049462183722407954530
23. curious(lucy) & ~kind(lucy) [input p22]
24. ~curious(lucy) [input hypothesis]
138. curious(lucy) [cnf transformation 23]
139. ~curious(lucy) [cnf transformation 24]
311. $false [subsumption resolution 139... | 0 |
If someone is rich or not brave then paul is either wise or not funny. If someone is strong or patient then susan is not curious or strong. Everyone who is curious or tall is either not funny or not patient. If fred is strong then paul is old or kind and vice versa. Everyone who is either happy or not quiet is both cal... | Susan is kind. | contradiction | ((?[X]:((rich(X)|~brave(X))))=>((wise(paul)<~>~funny(paul))))&
((?[X]:((strong(X)|patient(X))))=>((~curious(susan)|strong(susan))))&
(![X]:((curious(X)|tall(X))=>(~funny(X)<~>~patient(X))))&
((strong(fred))<=>((old(paul)|kind(paul))))&
(![X]:((happy(X)<~>~quiet(X))<=>(calm(X)&~humble(X))))&
((?[X]:((brave(X)&quiet(X)))... | kind(susan) | [
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2618246922532769790966364
% SZS output start Proof for 2618246922532769790966364
7. ! [X0] : ((~old(X0) & ~kind(X0)) <=> (calm(X0) | ~wise(X0))) [input p6]
16. ! [X0] : ((calm(X0) & generous(X0)) <=> (~calm(X0) | brave(X0))) [input p15]
21. kind(susan) [input hypothesis]
44. ! [X0] : (((~... | 0 |
If someone is not quiet then someone is either not funny or calm and vice versa.
If lucy is both creative and not creative then someone is not quiet or curious and vice versa.
If someone is happy then john is not old or not kind.
If someone is patient or not wise then someone is quiet.
Everyone who is both not humble a... | Paul is creative. | contradiction | ((?[X]:(~quiet(X)))<=>(?[X]:((~funny(X)<~>calm(X)))))&
(((creative(lucy)&~creative(lucy)))<=>(?[X]:((~quiet(X)|curious(X)))))&
((?[X]:(happy(X)))=>((~old(john)|~kind(john))))&
((?[X]:((patient(X)|~wise(X))))=>(?[X]:(quiet(X))))&
(![X]:((~humble(X)&patient(X))<=>(~calm(X)&patient(X))))&
(![X]:((humble(X)<~>~rich(X))<=>(... | creative(paul) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 288074939566348939287951
% SZS output start Proof for 288074939566348939287951
2. (~creative(lucy) & creative(lucy)) <=> ? [X0] : (curious(X0) | ~quiet(X0)) [input p1]
7. ! [X0] : (quiet(X0) <=> ~creative(X0)) [input p6]
25. creative(paul) [input hypothesis]
46. ((~creative(lucy) & creati... | 0 |
Everyone who is either not curious or not funny is both not tall and funny.
If someone is not wise or not kind then someone is not rich.
If someone is brave or curious then fred is either not happy or not brave.
If john is both patient and not funny then someone is not old or not tall and vice versa.
Everyone who is bo... | Paul is not rich. | neutral | (![X]:((~curious(X)<~>~funny(X))=>(~tall(X)&funny(X))))&
((?[X]:((~wise(X)|~kind(X))))=>(?[X]:(~rich(X))))&
((?[X]:((brave(X)|curious(X))))=>((~happy(fred)<~>~brave(fred))))&
(((patient(john)&~funny(john)))<=>(?[X]:((~old(X)|~tall(X)))))&
(![X]:((~brave(X)&happy(X))<=>(humble(X)|~tall(X))))&
(((brave(john)&generous(joh... | ~rich(paul) | [] | null | 0 |
If susan is either not rich or wise then lucy is not rich and vice versa.
If mary is either not wise or not brave then alice is funny or not quiet and vice versa.
If john is not happy or generous then fred is either strong or not calm and vice versa.
Everyone who is either not generous or not wise is both creative and ... | Lucy is not quiet. | contradiction | (((~rich(susan)<~>wise(susan)))<=>(~rich(lucy)))&
(((~wise(mary)<~>~brave(mary)))<=>((funny(alice)|~quiet(alice))))&
(((~happy(john)|generous(john)))<=>((strong(fred)<~>~calm(fred))))&
(![X]:((~generous(X)<~>~wise(X))<=>(creative(X)&~humble(X))))&
((quiet(susan))<=>(?[X]:((~generous(X)&kind(X)))))&
(![X]:(~patient(X)<=... | ~quiet(lucy) | [
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7563802608255888785994322
% SZS output start Proof for 7563802608255888785994322
9. ! [X0] : ((creative(X0) <~> old(X0)) <=> old(X0)) [input p8]
15. ! [X0] : ((~creative(X0) | ~kind(X0)) => (~brave(X0) & quiet(X0))) [input p14]
24. ~quiet(lucy) [input hypothesis]
29. ! [X0] : ((~brave(X0)... | 0 |
Everyone who is not rich or generous is kind or calm. Everyone who is either not wise or strong is both not quiet and not happy. Everyone who is calm is either not wise or not humble. Everyone who is either curious or brave is both not kind and rich and vice versa. Everyone who is kind or not funny is both not strong a... | Lucy is wise. | entailment | (![X]:((~rich(X)|generous(X))=>(kind(X)|calm(X))))&
(![X]:((~wise(X)<~>strong(X))=>(~quiet(X)&~happy(X))))&
(![X]:(calm(X)=>(~wise(X)<~>~humble(X))))&
(![X]:((curious(X)<~>brave(X))<=>(~kind(X)&rich(X))))&
(![X]:((kind(X)|~funny(X))=>(~strong(X)&happy(X))))&
(![X]:(~curious(X)=>(~generous(X)<~>~patient(X))))&
(![X]:((~... | wise(lucy) | [
"p1",
"p2",
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7637728590703552439200672
% SZS output start Proof for 7637728590703552439200672
2. ! [X0] : ((~wise(X0) <~> strong(X0)) => (~happy(X0) & ~quiet(X0))) [input p1]
3. ! [X0] : (calm(X0) => (~wise(X0) <~> ~humble(X0))) [input p2]
5. ! [X0] : ((~funny(X0) | kind(X0)) => (happy(X0) & ~strong(X... | 0 |
Everyone who is rich is kind and vice versa. Everyone who is both not rich and not strong is quiet and vice versa. If susan is not curious then paul is not generous or not wise. Everyone who is not creative is not tall and vice versa. Everyone who is either not humble or tall is not strong or not happy. Everyone who is... | Lucy is strong. | entailment | (![X]:(rich(X)<=>kind(X)))&
(![X]:((~rich(X)&~strong(X))<=>quiet(X)))&
((~curious(susan))=>((~generous(paul)|~wise(paul))))&
(![X]:(~creative(X)<=>~tall(X)))&
(![X]:((~humble(X)<~>tall(X))=>(~strong(X)|~happy(X))))&
(![X]:((creative(X)|quiet(X))=>(calm(X)<~>brave(X))))&
(((~quiet(lucy)<~>~funny(lucy)))<=>(?[X]:((~quiet... | strong(lucy) | [
"p1",
"p3",
"p8",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 305798439716179831910629
% SZS output start Proof for 305798439716179831910629
2. ! [X0] : ((~strong(X0) & ~rich(X0)) <=> quiet(X0)) [input p1]
4. ! [X0] : (~creative(X0) <=> ~tall(X0)) [input p3]
9. ! [X0] : (patient(X0) <=> (quiet(X0) <~> ~strong(X0))) [input p8]
11. ! [X0] : ((~patient... | 0 |
If someone is funny or strong then alice is not kind and vice versa. Everyone who is not strong is both funny and not tall and vice versa. If someone is either not humble or not creative then fred is both wise and not quiet and vice versa. If someone is both rich and funny then lucy is both not creative and not brave. ... | Fred is not brave. | contradiction | ((?[X]:((funny(X)|strong(X))))<=>(~kind(alice)))&
(![X]:(~strong(X)<=>(funny(X)&~tall(X))))&
((?[X]:((~humble(X)<~>~creative(X))))<=>((wise(fred)&~quiet(fred))))&
((?[X]:((rich(X)&funny(X))))=>((~creative(lucy)&~brave(lucy))))&
((?[X]:((~funny(X)|generous(X))))=>(?[X]:((~curious(X)|~calm(X)))))&
(((~calm(susan)|humble(... | ~brave(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2693949254054687755899591
% SZS output start Proof for 2693949254054687755899591
9. ! [X0] : (~brave(X0) <=> (~kind(X0) & kind(X0))) [input p8]
25. ~brave(fred) [input hypothesis]
59. ! [X0] : ((~brave(X0) | (kind(X0) | ~kind(X0))) & ((~kind(X0) & kind(X0)) | brave(X0))) [nnf transformati... | 0 |
Everyone who is patient or not calm is both not tall and not curious. Everyone who is either strong or wise is not wise or not kind and vice versa. If someone is calm then susan is both rich and wise. If someone is not calm then john is kind or quiet. Everyone who is either not humble or not strong is both tall and fun... | Paul is not creative. | contradiction | (![X]:((patient(X)|~calm(X))=>(~tall(X)&~curious(X))))&
(![X]:((strong(X)<~>wise(X))<=>(~wise(X)|~kind(X))))&
((?[X]:(calm(X)))=>((rich(susan)&wise(susan))))&
((?[X]:(~calm(X)))=>((kind(john)|quiet(john))))&
(![X]:((~humble(X)<~>~strong(X))<=>(tall(X)&funny(X))))&
(((old(lucy)|generous(lucy)))<=>((~humble(mary)&strong(... | ~creative(paul) | [
"p4",
"p5",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5249462531281427626355715
% SZS output start Proof for 5249462531281427626355715
5. ! [X0] : ((~humble(X0) <~> ~strong(X0)) <=> (funny(X0) & tall(X0))) [input p4]
6. (generous(lucy) | old(lucy)) <=> (strong(mary) & ~humble(mary)) [input p5]
8. ! [X0] : ((strong(X0) & ~tall(X0)) <=> (stron... | 0 |
Everyone who is either humble or not kind is not quiet or brave and vice versa.
Everyone who is either creative or not calm is either old or funny.
Everyone who is either quiet or not funny is not tall or not kind.
Everyone who is either not funny or brave is either not generous or not funny.
If paul is either patient ... | John is quiet. | entailment | (![X]:((humble(X)<~>~kind(X))<=>(~quiet(X)|brave(X))))&
(![X]:((creative(X)<~>~calm(X))=>(old(X)<~>funny(X))))&
(![X]:((quiet(X)<~>~funny(X))=>(~tall(X)|~kind(X))))&
(![X]:((~funny(X)<~>brave(X))=>(~generous(X)<~>~funny(X))))&
(((patient(paul)<~>strong(paul)))<=>(?[X]:((~strong(X)&kind(X)))))&
((?[X]:((tall(X)|~humble(... | quiet(john) | [
"p0",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 880104746618749889785330
% SZS output start Proof for 880104746618749889785330
1. ! [X0] : ((humble(X0) <~> ~kind(X0)) <=> (brave(X0) | ~quiet(X0))) [input p0]
12. ! [X0] : ((creative(X0) <~> ~humble(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p11]
16. ! [X0] : (~humble(X0) <=> (kind(... | 0 |
Everyone who is either not tall or happy is not old or calm and vice versa.
If mary is rich or kind then john is either not kind or not curious and vice versa.
If paul is both not calm and strong then mary is both rich and not tall.
Everyone who is either not kind or not funny is either curious or not calm.
Everyone wh... | Mary is brave. | neutral | (![X]:((~tall(X)<~>happy(X))<=>(~old(X)|calm(X))))&
(((rich(mary)|kind(mary)))<=>((~kind(john)<~>~curious(john))))&
(((~calm(paul)&strong(paul)))=>((rich(mary)&~tall(mary))))&
(![X]:((~kind(X)<~>~funny(X))=>(curious(X)<~>~calm(X))))&
(![X]:((generous(X)&~patient(X))=>(tall(X)&~strong(X))))&
(![X]:((kind(X)|calm(X))<=>(... | brave(mary) | [] | null | 0 |
If someone is kind then john is not kind or generous and vice versa. If someone is either quiet or creative then susan is patient and vice versa. If someone is either not strong or not calm then someone is humble or not patient and vice versa. Everyone who is both not funny and not wise is either funny or not patient. ... | John is not curious. | neutral | ((?[X]:(kind(X)))<=>((~kind(john)|generous(john))))&
((?[X]:((quiet(X)<~>creative(X))))<=>(patient(susan)))&
((?[X]:((~strong(X)<~>~calm(X))))<=>(?[X]:((humble(X)|~patient(X)))))&
(![X]:((~funny(X)&~wise(X))=>(funny(X)<~>~patient(X))))&
((?[X]:((generous(X)<~>funny(X))))=>(?[X]:((tall(X)&~wise(X)))))&
((?[X]:((~brave(X... | ~curious(john) | [] | null | 0 |
Everyone who is not quiet or not brave is both rich and not funny.
Everyone who is either tall or creative is not patient.
Everyone who is brave is calm or strong.
Everyone who is both not old and not kind is either not creative or calm and vice versa.
If susan is strong then someone is both brave and not kind and vice... | John is not patient. | neutral | (![X]:((~quiet(X)|~brave(X))=>(rich(X)&~funny(X))))&
(![X]:((tall(X)<~>creative(X))=>~patient(X)))&
(![X]:(brave(X)=>(calm(X)|strong(X))))&
(![X]:((~old(X)&~kind(X))<=>(~creative(X)<~>calm(X))))&
((strong(susan))<=>(?[X]:((brave(X)&~kind(X)))))&
((?[X]:((quiet(X)&generous(X))))<=>((patient(alice)&strong(alice))))&
((?[... | ~patient(john) | [] | null | 0 |
If lucy is not generous then lucy is old or calm and vice versa.
If someone is old or quiet then lucy is either patient or not creative.
Everyone who is old or patient is old and vice versa.
Everyone who is not curious or wise is happy and vice versa.
Everyone who is not brave or rich is both kind and brave.
Everyone w... | Lucy is generous. | contradiction | ((~generous(lucy))<=>((old(lucy)|calm(lucy))))&
((?[X]:((old(X)|quiet(X))))=>((patient(lucy)<~>~creative(lucy))))&
(![X]:((old(X)|patient(X))<=>old(X)))&
(![X]:((~curious(X)|wise(X))<=>happy(X)))&
(![X]:((~brave(X)|rich(X))=>(kind(X)&brave(X))))&
(![X]:((funny(X)<~>creative(X))=>(calm(X)&~kind(X))))&
(![X]:((~patient(X... | generous(lucy) | [
"p0",
"p2",
"p4",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7365529266887759166311750
% SZS output start Proof for 7365529266887759166311750
1. ~generous(lucy) <=> (calm(lucy) | old(lucy)) [input p0]
3. ! [X0] : ((patient(X0) | old(X0)) <=> old(X0)) [input p2]
5. ! [X0] : ((rich(X0) | ~brave(X0)) => (brave(X0) & kind(X0))) [input p4]
7. ! [X0] : (... | 0 |
If someone is either tall or calm then lucy is both not kind and not happy and vice versa.
If lucy is creative then fred is both patient and not creative and vice versa.
Everyone who is not humble or generous is not strong or happy and vice versa.
Everyone who is both humble and not patient is curious or not funny and ... | Fred is not generous. | neutral | ((?[X]:((tall(X)<~>calm(X))))<=>((~kind(lucy)&~happy(lucy))))&
((creative(lucy))<=>((patient(fred)&~creative(fred))))&
(![X]:((~humble(X)|generous(X))<=>(~strong(X)|happy(X))))&
(![X]:((humble(X)&~patient(X))<=>(curious(X)|~funny(X))))&
(![X]:((happy(X)<~>~strong(X))=>(happy(X)|quiet(X))))&
(![X]:((~kind(X)|~calm(X))<=... | ~generous(fred) | [] | null | 0 |
Everyone who is either patient or curious is not old or not funny and vice versa.
Everyone who is not kind or not wise is generous and vice versa.
Everyone who is kind is creative or not curious and vice versa.
If john is both humble and patient then someone is both generous and not rich and vice versa.
If alice is old... | Alice is not humble. | neutral | (![X]:((patient(X)<~>curious(X))<=>(~old(X)|~funny(X))))&
(![X]:((~kind(X)|~wise(X))<=>generous(X)))&
(![X]:(kind(X)<=>(creative(X)|~curious(X))))&
(((humble(john)&patient(john)))<=>(?[X]:((generous(X)&~rich(X)))))&
((old(alice))=>((~calm(fred)<~>~happy(fred))))&
(![X]:((~patient(X)|~quiet(X))<=>~funny(X)))&
(![X]:((~c... | ~humble(alice) | [] | null | 0 |
Everyone who is either curious or not generous is both not patient and brave and vice versa. Everyone who is either not calm or rich is both quiet and not patient. Everyone who is both not curious and funny is not humble and vice versa. If someone is either not funny or not brave then paul is funny. If someone is curio... | Fred is tall. | entailment | (![X]:((curious(X)<~>~generous(X))<=>(~patient(X)&brave(X))))&
(![X]:((~calm(X)<~>rich(X))=>(quiet(X)&~patient(X))))&
(![X]:((~curious(X)&funny(X))<=>~humble(X)))&
((?[X]:((~funny(X)<~>~brave(X))))=>(funny(paul)))&
((?[X]:((curious(X)|~tall(X))))=>(?[X]:((happy(X)|~creative(X)))))&
(((~creative(paul)<~>quiet(paul)))=>(... | tall(fred) | [
"p2",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6767907685989917400478512
% SZS output start Proof for 6767907685989917400478512
3. ! [X0] : ((funny(X0) & ~curious(X0)) <=> ~humble(X0)) [input p2]
12. ! [X0] : ((brave(X0) | humble(X0)) => ~funny(X0)) [input p11]
15. ! [X0] : (~brave(X0) <=> (tall(X0) <~> ~funny(X0))) [input p14]
16. (~... | 0 |
If fred is either old or not tall then paul is not patient or not strong and vice versa.
If lucy is either curious or generous then someone is both not curious and not funny.
Everyone who is both happy and wise is both not quiet and quiet.
Everyone who is not wise or wise is not strong.
Everyone who is not kind or not ... | Fred is not old. | entailment | (((old(fred)<~>~tall(fred)))<=>((~patient(paul)|~strong(paul))))&
(((curious(lucy)<~>generous(lucy)))=>(?[X]:((~curious(X)&~funny(X)))))&
(![X]:((happy(X)&wise(X))=>(~quiet(X)&quiet(X))))&
(![X]:((~wise(X)|wise(X))=>~strong(X)))&
(![X]:((~kind(X)|~creative(X))=>(kind(X)<~>~funny(X))))&
(![X]:(~curious(X)=>(~creative(X)... | ~old(fred) | [
"p0",
"p3",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3432482938013399082496286
% SZS output start Proof for 3432482938013399082496286
1. (old(fred) <~> ~tall(fred)) <=> (~strong(paul) | ~patient(paul)) [input p0]
4. ! [X0] : ((wise(X0) | ~wise(X0)) => ~strong(X0)) [input p3]
10. ! [X0] : ((tall(X0) & old(X0)) <=> (kind(X0) & curious(X0))) [... | 0 |
If fred is not kind or funny then someone is both curious and not kind and vice versa.
Everyone who is either kind or funny is both strong and not patient and vice versa.
Everyone who is either curious or not wise is either not old or rich and vice versa.
Everyone who is either calm or not tall is not strong or creativ... | Alice is tall. | neutral | (((~kind(fred)|funny(fred)))<=>(?[X]:((curious(X)&~kind(X)))))&
(![X]:((kind(X)<~>funny(X))<=>(strong(X)&~patient(X))))&
(![X]:((curious(X)<~>~wise(X))<=>(~old(X)<~>rich(X))))&
(![X]:((calm(X)<~>~tall(X))<=>(~strong(X)|creative(X))))&
((?[X]:((~rich(X)&creative(X))))<=>((rich(john)<~>~generous(john))))&
((?[X]:((~patie... | tall(alice) | [] | null | 0 |
If someone is not wise then someone is either curious or not curious.
Everyone who is not patient or humble is patient and vice versa.
If susan is both patient and creative then someone is both creative and not wise.
If alice is happy or not quiet then someone is rich.
If someone is happy or not creative then someone i... | Lucy is kind. | entailment | ((?[X]:(~wise(X)))=>(?[X]:((curious(X)<~>~curious(X)))))&
(![X]:((~patient(X)|humble(X))<=>patient(X)))&
(((patient(susan)&creative(susan)))=>(?[X]:((creative(X)&~wise(X)))))&
(((happy(alice)|~quiet(alice)))=>(?[X]:(rich(X))))&
((?[X]:((happy(X)|~creative(X))))<=>(?[X]:((~wise(X)&~patient(X)))))&
((old(john))=>(~rich(a... | kind(lucy) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1029931842633899504347180
% SZS output start Proof for 1029931842633899504347180
2. ! [X0] : ((humble(X0) | ~patient(X0)) <=> patient(X0)) [input p1]
11. ! [X0] : ((humble(X0) & kind(X0)) <=> (patient(X0) | ~funny(X0))) [input p10]
25. ~kind(lucy) [input hypothesis]
46. ! [X0] : (((humble... | 0 |
If susan is generous or not wise then someone is not wise and vice versa.
Everyone who is either not rich or calm is both not generous and humble and vice versa.
Everyone who is not creative is either not curious or kind.
Everyone who is humble or not patient is not patient or not funny.
If someone is humble or funny t... | Lucy is funny. | neutral | (((generous(susan)|~wise(susan)))<=>(?[X]:(~wise(X))))&
(![X]:((~rich(X)<~>calm(X))<=>(~generous(X)&humble(X))))&
(![X]:(~creative(X)=>(~curious(X)<~>kind(X))))&
(![X]:((humble(X)|~patient(X))=>(~patient(X)|~funny(X))))&
((?[X]:((humble(X)|funny(X))))<=>(~generous(paul)))&
(![X]:((patient(X)|generous(X))<=>(~strong(X)<... | funny(lucy) | [] | null | 0 |
If someone is not funny or not quiet then lucy is generous or not calm and vice versa.
Everyone who is either curious or not brave is patient or strong and vice versa.
Everyone who is either humble or wise is both wise and not funny.
If fred is both not funny and not patient then alice is both curious and calm.
If some... | Fred is old. | contradiction | ((?[X]:((~funny(X)|~quiet(X))))<=>((generous(lucy)|~calm(lucy))))&
(![X]:((curious(X)<~>~brave(X))<=>(patient(X)|strong(X))))&
(![X]:((humble(X)<~>wise(X))=>(wise(X)&~funny(X))))&
(((~funny(fred)&~patient(fred)))=>((curious(alice)&calm(alice))))&
((?[X]:((rich(X)|humble(X))))=>((~tall(paul)<~>~creative(paul))))&
(![X]:... | old(fred) | [
"p3",
"p8",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1273727386834194242527198
% SZS output start Proof for 1273727386834194242527198
4. (~patient(fred) & ~funny(fred)) => (calm(alice) & curious(alice)) [input p3]
9. ! [X0] : ((generous(X0) & ~patient(X0)) <=> (~creative(X0) | old(X0))) [input p8]
15. ! [X0] : (~old(X0) <=> funny(X0)) [inpu... | 0 |
Everyone who is not tall or not creative is tall.
Everyone who is either not humble or not generous is curious.
Everyone who is not brave is both not happy and humble and vice versa.
If someone is either not old or not generous then someone is both calm and not wise and vice versa.
Everyone who is either not generous o... | Paul is not humble. | contradiction | (![X]:((~tall(X)|~creative(X))=>tall(X)))&
(![X]:((~humble(X)<~>~generous(X))=>curious(X)))&
(![X]:(~brave(X)<=>(~happy(X)&humble(X))))&
((?[X]:((~old(X)<~>~generous(X))))<=>(?[X]:((calm(X)&~wise(X)))))&
(![X]:((~generous(X)<~>~kind(X))<=>~curious(X)))&
((?[X]:((happy(X)<~>creative(X))))=>((kind(mary)|~rich(mary))))&
(... | ~humble(paul) | [
"p0",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1173834556473938155335054
% SZS output start Proof for 1173834556473938155335054
1. ! [X0] : ((~creative(X0) | ~tall(X0)) => tall(X0)) [input p0]
9. ! [X0] : ((tall(X0) | old(X0)) => (~funny(X0) & ~patient(X0))) [input p8]
13. ! [X0] : ((patient(X0) & wise(X0)) <=> (~humble(X0) | ~brave(X... | 0 |
If someone is either not wise or patient then alice is curious. Everyone who is either quiet or creative is both funny and tall and vice versa. Everyone who is either generous or quiet is brave and vice versa. If alice is both not humble and happy then someone is not tall or happy and vice versa. Everyone who is either... | Alice is tall. | entailment | ((?[X]:((~wise(X)<~>patient(X))))=>(curious(alice)))&
(![X]:((quiet(X)<~>creative(X))<=>(funny(X)&tall(X))))&
(![X]:((generous(X)<~>quiet(X))<=>brave(X)))&
(((~humble(alice)&happy(alice)))<=>(?[X]:((~tall(X)|happy(X)))))&
(![X]:((~tall(X)<~>old(X))<=>(~kind(X)|~calm(X))))&
((?[X]:(~calm(X)))=>(?[X]:(old(X))))&
((?[X]:(... | tall(alice) | [
"p3",
"p4",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5399696126718786344117341
% SZS output start Proof for 5399696126718786344117341
4. (happy(alice) & ~humble(alice)) <=> ? [X0] : (happy(X0) | ~tall(X0)) [input p3]
5. ! [X0] : ((~tall(X0) <~> old(X0)) <=> (~calm(X0) | ~kind(X0))) [input p4]
15. ! [X0] : ((~old(X0) & ~kind(X0)) <=> (kind(X... | 0 |
Everyone who is patient or not patient is calm or not quiet.
If paul is tall then fred is both kind and not happy and vice versa.
Everyone who is both brave and old is not tall and vice versa.
If john is not rich or not tall then paul is both wise and generous.
Everyone who is funny or calm is both not tall and wise an... | Paul is old. | entailment | (![X]:((patient(X)|~patient(X))=>(calm(X)|~quiet(X))))&
((tall(paul))<=>((kind(fred)&~happy(fred))))&
(![X]:((brave(X)&old(X))<=>~tall(X)))&
(((~rich(john)|~tall(john)))=>((wise(paul)&generous(paul))))&
(![X]:((funny(X)|calm(X))<=>(~tall(X)&wise(X))))&
(![X]:(tall(X)=>(funny(X)&~happy(X))))&
(((~humble(lucy)|~calm(lucy... | old(paul) | [
"p2",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 9045337839327764319204390
% SZS output start Proof for 9045337839327764319204390
3. ! [X0] : ((old(X0) & brave(X0)) <=> ~tall(X0)) [input p2]
5. ! [X0] : ((calm(X0) | funny(X0)) <=> (wise(X0) & ~tall(X0))) [input p4]
6. ! [X0] : (tall(X0) => (~happy(X0) & funny(X0))) [input p5]
24. ~old(p... | 0 |
Everyone who is either wise or quiet is curious or not wise and vice versa. Everyone who is both old and happy is not tall and vice versa. Everyone who is either not old or quiet is not kind or calm and vice versa. If mary is either not wise or curious then someone is tall and vice versa. If someone is both quiet and k... | John is not happy. | neutral | (![X]:((wise(X)<~>quiet(X))<=>(curious(X)|~wise(X))))&
(![X]:((old(X)&happy(X))<=>~tall(X)))&
(![X]:((~old(X)<~>quiet(X))<=>(~kind(X)|calm(X))))&
(((~wise(mary)<~>curious(mary)))<=>(?[X]:(tall(X))))&
((?[X]:((quiet(X)&kind(X))))=>((strong(fred)|patient(fred))))&
(![X]:((strong(X)|~quiet(X))=>(patient(X)<~>~generous(X))... | ~happy(john) | [] | null | 0 |
If someone is either brave or not curious then someone is strong or curious.
If lucy is both old and rich then susan is quiet and vice versa.
If someone is curious then someone is not calm and vice versa.
If john is quiet or curious then mary is not quiet.
If paul is humble or strong then susan is either not quiet or t... | John is not tall. | neutral | ((?[X]:((brave(X)<~>~curious(X))))=>(?[X]:((strong(X)|curious(X)))))&
(((old(lucy)&rich(lucy)))<=>(quiet(susan)))&
((?[X]:(curious(X)))<=>(?[X]:(~calm(X))))&
(((quiet(john)|curious(john)))=>(~quiet(mary)))&
(((humble(paul)|strong(paul)))<=>((~quiet(susan)<~>tall(susan))))&
(![X]:((wise(X)&~patient(X))<=>(~funny(X)|stro... | ~tall(john) | [] | null | 0 |
Everyone who is both patient and funny is not strong or not creative and vice versa.
If fred is not rich or wise then someone is not strong or rich and vice versa.
If paul is both not curious and not strong then susan is both curious and not humble and vice versa.
If fred is rich or tall then someone is either humble o... | Alice is not brave. | neutral | (![X]:((patient(X)&funny(X))<=>(~strong(X)|~creative(X))))&
(((~rich(fred)|wise(fred)))<=>(?[X]:((~strong(X)|rich(X)))))&
(((~curious(paul)&~strong(paul)))<=>((curious(susan)&~humble(susan))))&
(((rich(fred)|tall(fred)))=>(?[X]:((humble(X)<~>kind(X)))))&
((?[X]:(happy(X)))<=>((~wise(alice)&~funny(alice))))&
(((~happy(p... | ~brave(alice) | [] | null | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa.
If lucy is tall or not brave then mary is either funny or not brave and vice versa.
If someone is patient then someone is happy and vice versa.
If someone is both strong and old then susan is calm and vice versa.
Everyone who is both g... | Fred is not calm. | entailment | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
(((tall(lucy)|~brave(lucy)))<=>((funny(mary)<~>~brave(mary))))&
((?[X]:(patient(X)))<=>(?[X]:(happy(X))))&
((?[X]:((strong(X)&old(X))))<=>(calm(susan)))&
(![X]:((generous(X)&~calm(X))=>~brave(X)))&
(![X]:((~kind(X)<~>tall(X))<=>(~strong(X)<~>tall(X))))&
((?[X]:((ta... | ~calm(fred) | [
"p0",
"p2",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2702084022158628305938849
% SZS output start Proof for 2702084022158628305938849
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
3. ? [X0] : patient(X0) <=> ? [X0] : happy(X0) [input p2]
9. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~tall(X0) | strong(X0))) ... | 0 |
If lucy is not brave or strong then susan is both not generous and wise and vice versa.
Everyone who is either not humble or strong is happy.
If someone is funny or curious then someone is not humble or not generous and vice versa.
Everyone who is either not wise or not brave is not quiet.
Everyone who is both happy an... | Lucy is not wise. | neutral | (((~brave(lucy)|strong(lucy)))<=>((~generous(susan)&wise(susan))))&
(![X]:((~humble(X)<~>strong(X))=>happy(X)))&
((?[X]:((funny(X)|curious(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~wise(X)<~>~brave(X))=>~quiet(X)))&
(![X]:((happy(X)&old(X))=>(~happy(X)|quiet(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((cur... | ~wise(lucy) | [] | null | 0 |
Everyone who is strong is not generous and vice versa.
If john is not rich or not calm then someone is not strong or not wise.
Everyone who is not calm or not strong is both not wise and not happy and vice versa.
If lucy is both not creative and not generous then paul is not kind or not tall and vice versa.
If someone ... | Fred is not strong. | contradiction | (![X]:(strong(X)<=>~generous(X)))&
(((~rich(john)|~calm(john)))=>(?[X]:((~strong(X)|~wise(X)))))&
(![X]:((~calm(X)|~strong(X))<=>(~wise(X)&~happy(X))))&
(((~creative(lucy)&~generous(lucy)))<=>((~kind(paul)|~tall(paul))))&
((?[X]:(generous(X)))<=>((~brave(mary)&brave(mary))))&
(![X]:((~kind(X)&~happy(X))=>(~kind(X)<~>pa... | ~strong(fred) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3768869468219806328236686
% SZS output start Proof for 3768869468219806328236686
1. ! [X0] : (strong(X0) <=> ~generous(X0)) [input p0]
5. ? [X0] : generous(X0) <=> (brave(mary) & ~brave(mary)) [input p4]
23. ~strong(fred) [input hypothesis]
33. ! [X0] : ((strong(X0) | generous(X0)) & (~ge... | 0 |
If john is both not quiet and not generous then alice is kind or not curious and vice versa.
If john is both not strong and not rich then susan is funny or not patient and vice versa.
Everyone who is humble or happy is funny or happy.
Everyone who is either quiet or calm is tall or not quiet and vice versa.
If alice is... | John is wise. | contradiction | (((~quiet(john)&~generous(john)))<=>((kind(alice)|~curious(alice))))&
(((~strong(john)&~rich(john)))<=>((funny(susan)|~patient(susan))))&
(![X]:((humble(X)|happy(X))=>(funny(X)|happy(X))))&
(![X]:((quiet(X)<~>calm(X))<=>(tall(X)|~quiet(X))))&
(((~quiet(alice)<~>curious(alice)))<=>(?[X]:((~wise(X)<~>funny(X)))))&
((tall... | wise(john) | [
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6063039620874113049595884
% SZS output start Proof for 6063039620874113049595884
7. ! [X0] : ((~tall(X0) | wise(X0)) <=> kind(X0)) [input p6]
9. ! [X0] : ((generous(X0) | kind(X0)) => (wise(X0) & humble(X0))) [input p8]
11. ! [X0] : (humble(X0) <=> (creative(X0) & ~kind(X0))) [input p10]
... | 0 |
Everyone who is both brave and not brave is not brave or not patient.
If paul is either not calm or wise then someone is creative or wise and vice versa.
If alice is happy or not patient then someone is humble.
If susan is not creative or wise then someone is either brave or tall.
Everyone who is not calm or not funny ... | Mary is not quiet. | neutral | (![X]:((brave(X)&~brave(X))=>(~brave(X)|~patient(X))))&
(((~calm(paul)<~>wise(paul)))<=>(?[X]:((creative(X)|wise(X)))))&
(((happy(alice)|~patient(alice)))=>(?[X]:(humble(X))))&
(((~creative(susan)|wise(susan)))=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((~calm(X)|~funny(X))=>(humble(X)|~tall(X))))&
(![X]:((~calm(X)&strong... | ~quiet(mary) | [] | null | 0 |
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