premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If fred is either not old or patient then someone is either not curious or tall and vice versa.
Everyone who is not generous or not funny is not quiet and vice versa.
Everyone who is creative is either not creative or patient and vice versa.
If john is not patient or patient then someone is both old and not rich and vi... | Lucy is not generous. | neutral | (((~old(fred)<~>patient(fred)))<=>(?[X]:((~curious(X)<~>tall(X)))))&
(![X]:((~generous(X)|~funny(X))<=>~quiet(X)))&
(![X]:(creative(X)<=>(~creative(X)<~>patient(X))))&
(((~patient(john)|patient(john)))<=>(?[X]:((old(X)&~rich(X)))))&
(((calm(mary)|kind(mary)))<=>((~generous(lucy)|funny(lucy))))&
(![X]:((rich(X)|~funny(X... | ~generous(lucy) | [] | null | 0 |
If someone is strong or not curious then fred is both quiet and old and vice versa. Everyone who is not generous or calm is either happy or brave and vice versa. Everyone who is both funny and not funny is kind and vice versa. Everyone who is not calm or calm is either kind or not calm and vice versa. If susan is both ... | Fred is wise. | entailment | ((?[X]:((strong(X)|~curious(X))))<=>((quiet(fred)&old(fred))))&
(![X]:((~generous(X)|calm(X))<=>(happy(X)<~>brave(X))))&
(![X]:((funny(X)&~funny(X))<=>kind(X)))&
(![X]:((~calm(X)|calm(X))<=>(kind(X)<~>~calm(X))))&
(((~quiet(susan)&curious(susan)))<=>(?[X]:((strong(X)<~>tall(X)))))&
((~quiet(susan))=>(?[X]:((~strong(X)&... | wise(fred) | [
"p1",
"p2",
"p3",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 39871852233504954079154
% SZS output start Proof for 39871852233504954079154
2. ! [X0] : ((calm(X0) | ~generous(X0)) <=> (happy(X0) <~> brave(X0))) [input p1]
3. ! [X0] : ((~funny(X0) & funny(X0)) <=> kind(X0)) [input p2]
4. ! [X0] : ((calm(X0) | ~calm(X0)) <=> (kind(X0) <~> ~calm(X0))) [... | 0 |
Everyone who is both not humble and not rich is not old.
If someone is both brave and humble then susan is tall or not creative and vice versa.
Everyone who is either generous or old is either happy or wise and vice versa.
Everyone who is strong or not curious is either calm or curious and vice versa.
If someone is str... | Mary is not kind. | entailment | (![X]:((~humble(X)&~rich(X))=>~old(X)))&
((?[X]:((brave(X)&humble(X))))<=>((tall(susan)|~creative(susan))))&
(![X]:((generous(X)<~>old(X))<=>(happy(X)<~>wise(X))))&
(![X]:((strong(X)|~curious(X))<=>(calm(X)<~>curious(X))))&
((?[X]:((strong(X)|rich(X))))<=>((~wise(john)<~>~funny(john))))&
(![X]:((~happy(X)|~brave(X))<=>... | ~kind(mary) | [
"p9",
"p11",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3079648755470328340343688
% SZS output start Proof for 3079648755470328340343688
10. ! [X0] : ((kind(X0) | curious(X0)) <=> (curious(X0) & funny(X0))) [input p9]
12. ! [X0] : ((brave(X0) <~> funny(X0)) <=> (generous(X0) & happy(X0))) [input p11]
13. ! [X0] : (~creative(X0) <=> (rich(X0) |... | 0 |
Everyone who is not calm or tall is not creative and vice versa.
If someone is either not funny or not happy then alice is either not happy or kind.
Everyone who is calm is wise.
If paul is either generous or not calm then someone is kind or generous and vice versa.
If alice is not calm or calm then someone is not calm... | Paul is calm. | contradiction | (![X]:((~calm(X)|tall(X))<=>~creative(X)))&
((?[X]:((~funny(X)<~>~happy(X))))=>((~happy(alice)<~>kind(alice))))&
(![X]:(calm(X)=>wise(X)))&
(((generous(paul)<~>~calm(paul)))<=>(?[X]:((kind(X)|generous(X)))))&
(((~calm(alice)|calm(alice)))=>(?[X]:(~calm(X))))&
(![X]:((creative(X)&happy(X))=>(wise(X)&~happy(X))))&
(![X]:... | calm(paul) | [
"p2",
"p5",
"p7",
"p9",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 680730407376701506310065
% SZS output start Proof for 680730407376701506310065
3. ! [X0] : (calm(X0) => wise(X0)) [input p2]
6. ! [X0] : ((happy(X0) & creative(X0)) => (~happy(X0) & wise(X0))) [input p5]
8. ! [X0] : (wise(X0) <=> creative(X0)) [input p7]
10. ! [X0] : ((~happy(X0) | ~wise(... | 0 |
Everyone who is happy is wise. Everyone who is either not calm or not curious is both not old and not happy. Everyone who is quiet is both brave and not quiet. If susan is not humble or not strong then susan is brave or not curious and vice versa. If someone is not wise then someone is both brave and quiet and vice ver... | Susan is curious. | contradiction | (![X]:(happy(X)=>wise(X)))&
(![X]:((~calm(X)<~>~curious(X))=>(~old(X)&~happy(X))))&
(![X]:(quiet(X)=>(brave(X)&~quiet(X))))&
(((~humble(susan)|~strong(susan)))<=>((brave(susan)|~curious(susan))))&
((?[X]:(~wise(X)))<=>(?[X]:((brave(X)&quiet(X)))))&
(![X]:((~calm(X)&quiet(X))<=>(~tall(X)|rich(X))))&
((?[X]:((old(X)&pati... | curious(susan) | [
"p2",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4792060307700443769936339
% SZS output start Proof for 4792060307700443769936339
3. ! [X0] : (quiet(X0) => (~quiet(X0) & brave(X0))) [input p2]
6. ! [X0] : ((quiet(X0) & ~calm(X0)) <=> (rich(X0) | ~tall(X0))) [input p5]
12. ! [X0] : (~rich(X0) => ~curious(X0)) [input p11]
22. curious(susa... | 0 |
Everyone who is not quiet or not patient is both funny and wise and vice versa. Everyone who is not brave or happy is either not brave or funny. Everyone who is not curious is humble or creative and vice versa. Everyone who is either creative or kind is either patient or not brave and vice versa. Everyone who is either... | Mary is generous. | neutral | (![X]:((~quiet(X)|~patient(X))<=>(funny(X)&wise(X))))&
(![X]:((~brave(X)|happy(X))=>(~brave(X)<~>funny(X))))&
(![X]:(~curious(X)<=>(humble(X)|creative(X))))&
(![X]:((creative(X)<~>kind(X))<=>(patient(X)<~>~brave(X))))&
(![X]:((~tall(X)<~>~old(X))<=>(~brave(X)|~calm(X))))&
(![X]:(calm(X)=>generous(X)))&
((?[X]:(~creativ... | generous(mary) | [] | null | 0 |
Everyone who is both happy and brave is both strong and not creative and vice versa.
If someone is both rich and brave then alice is both tall and not calm and vice versa.
Everyone who is both kind and wise is quiet.
Everyone who is both not generous and not wise is not curious and vice versa.
If fred is either not bra... | Alice is not calm. | entailment | (![X]:((happy(X)&brave(X))<=>(strong(X)&~creative(X))))&
((?[X]:((rich(X)&brave(X))))<=>((tall(alice)&~calm(alice))))&
(![X]:((kind(X)&wise(X))=>quiet(X)))&
(![X]:((~generous(X)&~wise(X))<=>~curious(X)))&
(((~brave(fred)<~>~curious(fred)))<=>(?[X]:((~old(X)&~generous(X)))))&
(((~generous(john)<~>generous(john)))=>(?[X]... | ~calm(alice) | [
"p1",
"p10",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4890739306793611952350903
% SZS output start Proof for 4890739306793611952350903
2. ? [X0] : (brave(X0) & rich(X0)) <=> (~calm(alice) & tall(alice)) [input p1]
11. ! [X0] : ((brave(X0) <~> wise(X0)) <=> (~rich(X0) <~> ~quiet(X0))) [input p10]
19. ~quiet(fred) & rich(fred) [input p18]
20. ... | 0 |
Everyone who is not brave is both not kind and funny.
If someone is not creative then someone is not rich and vice versa.
Everyone who is not quiet is not tall and vice versa.
If someone is both not quiet and not rich then fred is both humble and not patient and vice versa.
Everyone who is not generous or strong is bra... | Fred is quiet. | entailment | (![X]:(~brave(X)=>(~kind(X)&funny(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(~rich(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((?[X]:((~quiet(X)&~rich(X))))<=>((humble(fred)&~patient(fred))))&
(![X]:((~generous(X)|strong(X))=>brave(X)))&
(![X]:((old(X)<~>kind(X))=>old(X)))&
(![X]:((~wise(X)|~generous(X))=>happy(X)))&
(((funny(s... | quiet(fred) | [
"p1",
"p3",
"p6",
"p9",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5946089556216387189290344
% SZS output start Proof for 5946089556216387189290344
2. ? [X0] : ~creative(X0) <=> ? [X0] : ~rich(X0) [input p1]
4. ? [X0] : (~rich(X0) & ~quiet(X0)) <=> (~patient(fred) & humble(fred)) [input p3]
7. ! [X0] : ((~generous(X0) | ~wise(X0)) => happy(X0)) [input p6... | 0 |
Everyone who is both patient and funny is either not creative or not generous.
If someone is both quiet and funny then someone is not strong.
If alice is both not calm and not curious then john is creative.
If someone is generous then someone is both old and not curious and vice versa.
Everyone who is tall or not gener... | Fred is not humble. | neutral | (![X]:((patient(X)&funny(X))=>(~creative(X)<~>~generous(X))))&
((?[X]:((quiet(X)&funny(X))))=>(?[X]:(~strong(X))))&
(((~calm(alice)&~curious(alice)))=>(creative(john)))&
((?[X]:(generous(X)))<=>(?[X]:((old(X)&~curious(X)))))&
(![X]:((tall(X)|~generous(X))=>(strong(X)&~happy(X))))&
((?[X]:(patient(X)))<=>(?[X]:((~brave(... | ~humble(fred) | [] | null | 0 |
If fred is both kind and quiet then someone is either not brave or wise.
If alice is not funny or tall then paul is not patient or kind.
Everyone who is either not rich or rich is both rich and funny and vice versa.
Everyone who is not tall or not patient is either old or not brave and vice versa.
If john is wise or qu... | John is not generous. | neutral | (((kind(fred)&quiet(fred)))=>(?[X]:((~brave(X)<~>wise(X)))))&
(((~funny(alice)|tall(alice)))=>((~patient(paul)|kind(paul))))&
(![X]:((~rich(X)<~>rich(X))<=>(rich(X)&funny(X))))&
(![X]:((~tall(X)|~patient(X))<=>(old(X)<~>~brave(X))))&
(((wise(john)|quiet(john)))<=>(?[X]:(tall(X))))&
((funny(mary))<=>(?[X]:((~brave(X)|~k... | ~generous(john) | [] | null | 0 |
If susan is not curious then someone is not generous and vice versa.
Everyone who is both creative and not patient is either not curious or not quiet and vice versa.
If someone is brave then someone is both not funny and not brave.
Everyone who is not tall or not strong is strong or not old.
Everyone who is calm or gen... | John is not strong. | contradiction | ((~curious(susan))<=>(?[X]:(~generous(X))))&
(![X]:((creative(X)&~patient(X))<=>(~curious(X)<~>~quiet(X))))&
((?[X]:(brave(X)))=>(?[X]:((~funny(X)&~brave(X)))))&
(![X]:((~tall(X)|~strong(X))=>(strong(X)|~old(X))))&
(![X]:((calm(X)|generous(X))<=>(~patient(X)&~brave(X))))&
(![X]:((~old(X)|humble(X))=>(~generous(X)<~>fun... | ~strong(john) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 494650008057827947157412
% SZS output start Proof for 494650008057827947157412
15. ! [X0] : (~strong(X0) <=> (brave(X0) & ~brave(X0))) [input p14]
25. ~strong(john) [input hypothesis]
78. ! [X0] : ((~strong(X0) | (~brave(X0) | brave(X0))) & ((brave(X0) & ~brave(X0)) | strong(X0))) [nnf tr... | 0 |
Everyone who is not kind or not rich is either kind or not humble.
If john is both not happy and strong then someone is happy or kind.
Everyone who is not brave is tall or not funny and vice versa.
Everyone who is generous is not kind or quiet and vice versa.
Everyone who is both not generous and creative is both patie... | Lucy is patient. | entailment | (![X]:((~kind(X)|~rich(X))=>(kind(X)<~>~humble(X))))&
(((~happy(john)&strong(john)))=>(?[X]:((happy(X)|kind(X)))))&
(![X]:(~brave(X)<=>(tall(X)|~funny(X))))&
(![X]:(generous(X)<=>(~kind(X)|quiet(X))))&
(![X]:((~generous(X)&creative(X))=>(patient(X)&tall(X))))&
((?[X]:(curious(X)))<=>(funny(fred)))&
(![X]:(~rich(X)<=>(~... | patient(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9167392119111311678681986
% SZS output start Proof for 9167392119111311678681986
10. ! [X0] : ((~calm(X0) & patient(X0)) <=> (~happy(X0) | happy(X0))) [input p9]
25. ~patient(lucy) [input hypothesis]
58. ! [X0] : (((~calm(X0) & patient(X0)) | (happy(X0) & ~happy(X0))) & ((~happy(X0) | hap... | 0 |
If someone is both not creative and creative then alice is either not calm or funny.
Everyone who is both old and funny is not wise and vice versa.
Everyone who is either tall or brave is either humble or curious and vice versa.
Everyone who is not old is both not funny and not kind and vice versa.
Everyone who is not ... | Susan is not happy. | neutral | ((?[X]:((~creative(X)&creative(X))))=>((~calm(alice)<~>funny(alice))))&
(![X]:((old(X)&funny(X))<=>~wise(X)))&
(![X]:((tall(X)<~>brave(X))<=>(humble(X)<~>curious(X))))&
(![X]:(~old(X)<=>(~funny(X)&~kind(X))))&
(![X]:((~patient(X)|old(X))<=>(calm(X)&~old(X))))&
(![X]:((~brave(X)|~humble(X))=>(~happy(X)&~patient(X))))&
(... | ~happy(susan) | [] | null | 0 |
If someone is both generous and kind then someone is both kind and not quiet. If someone is both not strong and curious then paul is wise and vice versa. Everyone who is not tall or not calm is generous or not curious and vice versa. Everyone who is either not curious or generous is either not happy or not funny. If lu... | Lucy is rich. | neutral | ((?[X]:((generous(X)&kind(X))))=>(?[X]:((kind(X)&~quiet(X)))))&
((?[X]:((~strong(X)&curious(X))))<=>(wise(paul)))&
(![X]:((~tall(X)|~calm(X))<=>(generous(X)|~curious(X))))&
(![X]:((~curious(X)<~>generous(X))=>(~happy(X)<~>~funny(X))))&
((rich(lucy))=>(funny(alice)))&
(![X]:(generous(X)<=>(~strong(X)|rich(X))))&
((?[X]:... | rich(lucy) | [] | null | 0 |
Everyone who is either tall or rich is both patient and not rich and vice versa.
Everyone who is humble or not rich is not kind and vice versa.
If john is wise or not humble then lucy is either not brave or calm.
If someone is not patient then susan is funny and vice versa.
Everyone who is brave or humble is both humbl... | John is happy. | neutral | (![X]:((tall(X)<~>rich(X))<=>(patient(X)&~rich(X))))&
(![X]:((humble(X)|~rich(X))<=>~kind(X)))&
(((wise(john)|~humble(john)))=>((~brave(lucy)<~>calm(lucy))))&
((?[X]:(~patient(X)))<=>(funny(susan)))&
(![X]:((brave(X)|humble(X))<=>(humble(X)&~humble(X))))&
(![X]:((~strong(X)<~>~quiet(X))=>~calm(X)))&
(![X]:(generous(X)<... | happy(john) | [] | null | 0 |
Everyone who is either wise or not creative is not old.
Everyone who is both not wise and wise is happy or rich.
If paul is both not rich and not quiet then someone is either not brave or not quiet.
Everyone who is happy is either not funny or not humble.
Everyone who is generous is old or not wise.
If lucy is old then... | Mary is not happy. | entailment | (![X]:((wise(X)<~>~creative(X))=>~old(X)))&
(![X]:((~wise(X)&wise(X))=>(happy(X)|rich(X))))&
(((~rich(paul)&~quiet(paul)))=>(?[X]:((~brave(X)<~>~quiet(X)))))&
(![X]:(happy(X)=>(~funny(X)<~>~humble(X))))&
(![X]:(generous(X)=>(old(X)|~wise(X))))&
((old(lucy))<=>(?[X]:(~happy(X))))&
(![X]:((happy(X)|~strong(X))<=>(tall(X)... | ~happy(mary) | [
"p3",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2049350072700299717759365
% SZS output start Proof for 2049350072700299717759365
4. ! [X0] : (happy(X0) => (~funny(X0) <~> ~humble(X0))) [input p3]
14. ! [X0] : ((~brave(X0) | happy(X0)) => (rich(X0) & funny(X0))) [input p13]
15. ! [X0] : (~funny(X0) <=> (generous(X0) | ~humble(X0))) [inp... | 0 |
If someone is not brave or curious then someone is either not funny or rich.
If someone is funny or not patient then john is not calm or old.
If someone is tall then paul is not happy.
If mary is either old or kind then someone is quiet or not calm and vice versa.
Everyone who is wise or not tall is not strong and vice... | John is not wise. | contradiction | ((?[X]:((~brave(X)|curious(X))))=>(?[X]:((~funny(X)<~>rich(X)))))&
((?[X]:((funny(X)|~patient(X))))=>((~calm(john)|old(john))))&
((?[X]:(tall(X)))=>(~happy(paul)))&
(((old(mary)<~>kind(mary)))<=>(?[X]:((quiet(X)|~calm(X)))))&
(![X]:((wise(X)|~tall(X))<=>~strong(X)))&
(![X]:((kind(X)&generous(X))<=>(~calm(X)&~tall(X))))... | ~wise(john) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4426089404858932745168832
% SZS output start Proof for 4426089404858932745168832
9. ! [X0] : ((strong(X0) | ~tall(X0)) <=> (humble(X0) & tall(X0))) [input p8]
10. ! [X0] : ((~tall(X0) & creative(X0)) <=> (funny(X0) | ~wise(X0))) [input p9]
22. ~wise(john) [input hypothesis]
52. ! [X0] : (... | 0 |
Everyone who is either not tall or humble is both not calm and creative. Everyone who is not rich or kind is wise and vice versa. If someone is humble or not creative then fred is not wise and vice versa. If paul is either creative or not humble then someone is not tall and vice versa. If someone is either not curious ... | Paul is not brave. | entailment | (![X]:((~tall(X)<~>humble(X))=>(~calm(X)&creative(X))))&
(![X]:((~rich(X)|kind(X))<=>wise(X)))&
((?[X]:((humble(X)|~creative(X))))<=>(~wise(fred)))&
(((creative(paul)<~>~humble(paul)))<=>(?[X]:(~tall(X))))&
((?[X]:((~curious(X)<~>kind(X))))=>((quiet(susan)|~quiet(susan))))&
(![X]:((funny(X)|generous(X))=>kind(X)))&
((?... | ~brave(paul) | [
"p7",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8058159405448070903414672
% SZS output start Proof for 8058159405448070903414672
8. ! [X0] : ((~curious(X0) | ~brave(X0)) <=> (quiet(X0) | humble(X0))) [input p7]
10. ! [X0] : (~humble(X0) <=> (tall(X0) | patient(X0))) [input p9]
15. ! [X0] : ((curious(X0) & ~humble(X0)) <=> quiet(X0)) [i... | 0 |
Everyone who is both not humble and not wise is patient. Everyone who is tall or not tall is both quiet and not wise and vice versa. Everyone who is either not kind or not curious is old. If someone is not old or not brave then alice is either creative or tall. Everyone who is not old is not brave or kind and vice vers... | John is not quiet. | contradiction | (![X]:((~humble(X)&~wise(X))=>patient(X)))&
(![X]:((tall(X)|~tall(X))<=>(quiet(X)&~wise(X))))&
(![X]:((~kind(X)<~>~curious(X))=>old(X)))&
((?[X]:((~old(X)|~brave(X))))=>((creative(alice)<~>tall(alice))))&
(![X]:(~old(X)<=>(~brave(X)|kind(X))))&
(((creative(susan)<~>~happy(susan)))=>(?[X]:((happy(X)&generous(X)))))&
(![... | ~quiet(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 2895994264711666316296211
% SZS output start Proof for 2895994264711666316296211
2. ! [X0] : ((~tall(X0) | tall(X0)) <=> (~wise(X0) & quiet(X0))) [input p1]
23. ~quiet(john) [input hypothesis]
36. ! [X0] : (((~tall(X0) | tall(X0)) | (wise(X0) | ~quiet(X0))) & ((~wise(X0) & quiet(X0)) | (t... | 0 |
Everyone who is both funny and quiet is either funny or not tall and vice versa.
If someone is either not wise or not generous then someone is not generous.
If paul is not creative or not kind then alice is either not happy or not kind.
Everyone who is not humble or rich is either humble or not quiet and vice versa.
Ev... | Paul is kind. | entailment | (![X]:((funny(X)&quiet(X))<=>(funny(X)<~>~tall(X))))&
((?[X]:((~wise(X)<~>~generous(X))))=>(?[X]:(~generous(X))))&
(((~creative(paul)|~kind(paul)))=>((~happy(alice)<~>~kind(alice))))&
(![X]:((~humble(X)|rich(X))<=>(humble(X)<~>~quiet(X))))&
(![X]:((patient(X)<~>~happy(X))=>(calm(X)|~old(X))))&
(![X]:((rich(X)&~brave(X)... | kind(paul) | [
"p0",
"p3",
"p6",
"p8",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5574159482287786955875513
% SZS output start Proof for 5574159482287786955875513
1. ! [X0] : ((quiet(X0) & funny(X0)) <=> (funny(X0) <~> ~tall(X0))) [input p0]
4. ! [X0] : ((rich(X0) | ~humble(X0)) <=> (humble(X0) <~> ~quiet(X0))) [input p3]
7. ! [X0] : ((~patient(X0) | rich(X0)) => (kind... | 0 |
If alice is not curious or not creative then someone is either not brave or not strong. If susan is both humble and not humble then fred is both calm and old and vice versa. Everyone who is not old is both strong and brave. If mary is not brave then someone is either humble or not creative. Everyone who is either not b... | Mary is not generous. | contradiction | (((~curious(alice)|~creative(alice)))=>(?[X]:((~brave(X)<~>~strong(X)))))&
(((humble(susan)&~humble(susan)))<=>((calm(fred)&old(fred))))&
(![X]:(~old(X)=>(strong(X)&brave(X))))&
((~brave(mary))=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~brave(X)<~>creative(X))<=>(brave(X)<~>~kind(X))))&
(![X]:((~old(X)<~>calm(X))<... | ~generous(mary) | [
"p2",
"p5",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8396779965946293414827923
% SZS output start Proof for 8396779965946293414827923
3. ! [X0] : (~old(X0) => (brave(X0) & strong(X0))) [input p2]
6. ! [X0] : ((~old(X0) <~> calm(X0)) <=> (~brave(X0) <~> brave(X0))) [input p5]
10. ! [X0] : ((~brave(X0) | happy(X0)) => (calm(X0) & funny(X0))) ... | 0 |
Everyone who is not brave or not calm is either not kind or not curious and vice versa.
Everyone who is either not wise or wise is both not calm and not funny.
If fred is both happy and not brave then someone is brave or not patient and vice versa.
Everyone who is strong is both not creative and funny.
Everyone who is ... | Lucy is patient. | contradiction | (![X]:((~brave(X)|~calm(X))<=>(~kind(X)<~>~curious(X))))&
(![X]:((~wise(X)<~>wise(X))=>(~calm(X)&~funny(X))))&
(((happy(fred)&~brave(fred)))<=>(?[X]:((brave(X)|~patient(X)))))&
(![X]:(strong(X)=>(~creative(X)&funny(X))))&
(![X]:((~funny(X)&~creative(X))=>(happy(X)&~happy(X))))&
(![X]:((~kind(X)<~>funny(X))=>(~strong(X)... | patient(lucy) | [
"p1",
"p3",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 658766294358821032723067
% SZS output start Proof for 658766294358821032723067
2. ! [X0] : ((~wise(X0) <~> wise(X0)) => (~funny(X0) & ~calm(X0))) [input p1]
4. ! [X0] : (strong(X0) => (funny(X0) & ~creative(X0))) [input p3]
12. funny(susan) <=> ? [X0] : (~tall(X0) | ~creative(X0)) [input ... | 0 |
Everyone who is either not kind or generous is curious or old and vice versa. If susan is both not brave and not kind then fred is calm or humble and vice versa. Everyone who is patient or kind is not kind or creative and vice versa. Everyone who is both rich and not rich is humble and vice versa. If someone is both no... | Alice is not rich. | contradiction | (![X]:((~kind(X)<~>generous(X))<=>(curious(X)|old(X))))&
(((~brave(susan)&~kind(susan)))<=>((calm(fred)|humble(fred))))&
(![X]:((patient(X)|kind(X))<=>(~kind(X)|creative(X))))&
(![X]:((rich(X)&~rich(X))<=>humble(X)))&
((?[X]:((~wise(X)&kind(X))))<=>((wise(alice)|strong(alice))))&
((?[X]:((humble(X)&generous(X))))<=>(fu... | ~rich(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2681199455533518780108731
% SZS output start Proof for 2681199455533518780108731
8. ! [X0] : ((rich(X0) & patient(X0)) <=> (~strong(X0) | strong(X0))) [input p7]
24. ~rich(alice) [input hypothesis]
49. ! [X0] : (((rich(X0) & patient(X0)) | (strong(X0) & ~strong(X0))) & ((~strong(X0) | str... | 0 |
Everyone who is strong or funny is not happy or not generous and vice versa.
If someone is generous or not strong then someone is either not brave or kind.
Everyone who is not curious is old or wise and vice versa.
If someone is happy or creative then someone is humble.
Everyone who is not rich is both happy and not cu... | Lucy is rich. | entailment | (![X]:((strong(X)|funny(X))<=>(~happy(X)|~generous(X))))&
((?[X]:((generous(X)|~strong(X))))=>(?[X]:((~brave(X)<~>kind(X)))))&
(![X]:(~curious(X)<=>(old(X)|wise(X))))&
((?[X]:((happy(X)|creative(X))))=>(?[X]:(humble(X))))&
(![X]:(~rich(X)=>(happy(X)&~curious(X))))&
((?[X]:((~patient(X)&~kind(X))))=>(?[X]:((~curious(X)&... | rich(lucy) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8723844477932837335857297
% SZS output start Proof for 8723844477932837335857297
5. ! [X0] : (~rich(X0) => (~curious(X0) & happy(X0))) [input p4]
10. ! [X0] : ((happy(X0) | wise(X0)) <=> (~strong(X0) & ~happy(X0))) [input p9]
24. ~rich(lucy) [input hypothesis]
40. ! [X0] : ((~curious(X0) ... | 0 |
Everyone who is not quiet or strong is either funny or not generous.
If susan is both not funny and not patient then someone is both not funny and not strong and vice versa.
If lucy is either funny or happy then someone is rich and vice versa.
Everyone who is both rich and funny is humble or not quiet.
If alice is tall... | Fred is not humble. | neutral | (![X]:((~quiet(X)|strong(X))=>(funny(X)<~>~generous(X))))&
(((~funny(susan)&~patient(susan)))<=>(?[X]:((~funny(X)&~strong(X)))))&
(((funny(lucy)<~>happy(lucy)))<=>(?[X]:(rich(X))))&
(![X]:((rich(X)&funny(X))=>(humble(X)|~quiet(X))))&
(((tall(alice)|humble(alice)))<=>((~calm(alice)|patient(alice))))&
(![X]:((generous(X)... | ~humble(fred) | [] | null | 0 |
Everyone who is not old is both not funny and quiet.
Everyone who is both not generous and not creative is not kind or not rich.
Everyone who is both kind and not old is either not generous or quiet.
If fred is funny then mary is both tall and funny and vice versa.
Everyone who is creative or not wise is not tall or ca... | Mary is strong. | entailment | (![X]:(~old(X)=>(~funny(X)&quiet(X))))&
(![X]:((~generous(X)&~creative(X))=>(~kind(X)|~rich(X))))&
(![X]:((kind(X)&~old(X))=>(~generous(X)<~>quiet(X))))&
((funny(fred))<=>((tall(mary)&funny(mary))))&
(![X]:((creative(X)|~wise(X))=>(~tall(X)|calm(X))))&
(![X]:((curious(X)<~>happy(X))=>calm(X)))&
((?[X]:(quiet(X)))<=>(?[... | strong(mary) | [
"p10",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1326002955700787269631107
% SZS output start Proof for 1326002955700787269631107
11. ! [X0] : (~humble(X0) <=> (~kind(X0) <~> strong(X0))) [input p10]
12. (~humble(mary) & generous(mary)) <=> ? [X0] : (patient(X0) | ~curious(X0)) [input p11]
13. ! [X0] : ((humble(X0) <~> ~generous(X0)) <=... | 0 |
Everyone who is both humble and not calm is old or not patient. If someone is strong then someone is both not old and not wise. Everyone who is not happy or not generous is not funny and vice versa. Everyone who is either rich or not quiet is happy or patient and vice versa. Everyone who is both not patient and quiet i... | Alice is not generous. | entailment | (![X]:((humble(X)&~calm(X))=>(old(X)|~patient(X))))&
((?[X]:(strong(X)))=>(?[X]:((~old(X)&~wise(X)))))&
(![X]:((~happy(X)|~generous(X))<=>~funny(X)))&
(![X]:((rich(X)<~>~quiet(X))<=>(happy(X)|patient(X))))&
(![X]:((~patient(X)&quiet(X))<=>(~creative(X)|~strong(X))))&
(![X]:((~generous(X)<~>~funny(X))=>(generous(X)&~bra... | ~generous(alice) | [
"p1",
"p3",
"p6",
"p7",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2572305495433569285942250
% SZS output start Proof for 2572305495433569285942250
2. ? [X0] : strong(X0) => ? [X0] : (~wise(X0) & ~old(X0)) [input p1]
4. ! [X0] : ((rich(X0) <~> ~quiet(X0)) <=> (patient(X0) | happy(X0))) [input p3]
7. ! [X0] : ((~old(X0) <~> patient(X0)) <=> (happy(X0) & ~... | 0 |
Everyone who is either patient or funny is strong and vice versa. If paul is either not old or brave then fred is either creative or happy. Everyone who is wise is not curious or quiet and vice versa. If paul is happy then someone is not humble. Everyone who is either happy or not rich is creative or not tall. If alice... | Mary is not brave. | neutral | (![X]:((patient(X)<~>funny(X))<=>strong(X)))&
(((~old(paul)<~>brave(paul)))=>((creative(fred)<~>happy(fred))))&
(![X]:(wise(X)<=>(~curious(X)|quiet(X))))&
((happy(paul))=>(?[X]:(~humble(X))))&
(![X]:((happy(X)<~>~rich(X))=>(creative(X)|~tall(X))))&
((happy(alice))=>(~wise(mary)))&
(![X]:((rich(X)|kind(X))=>(generous(X)... | ~brave(mary) | [] | null | 0 |
Everyone who is not old or not patient is both not old and not brave and vice versa. If someone is strong or not generous then fred is both not kind and calm and vice versa. Everyone who is brave or not happy is both kind and not calm. Everyone who is rich is wise or not tall. Everyone who is either not curious or not ... | John is not wise. | contradiction | (![X]:((~old(X)|~patient(X))<=>(~old(X)&~brave(X))))&
((?[X]:((strong(X)|~generous(X))))<=>((~kind(fred)&calm(fred))))&
(![X]:((brave(X)|~happy(X))=>(kind(X)&~calm(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]:(... | ~wise(john) | [
"p1",
"p4",
"p6",
"p7",
"p8",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5098546574123742992977144
% SZS output start Proof for 5098546574123742992977144
2. ? [X0] : (~generous(X0) | strong(X0)) <=> (calm(fred) & ~kind(fred)) [input p1]
5. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p4]
7. ! [X0] : (~rich(X0) <=> (calm(X0) & ~calm(X0))) [inp... | 0 |
Everyone who is not old or wise is both not old and not wise.
Everyone who is not happy or not humble is quiet.
If someone is both not funny and not curious then someone is both kind and not generous and vice versa.
Everyone who is not rich or not funny is both not happy and not old and vice versa.
If someone is either... | Paul is quiet. | entailment | (![X]:((~old(X)|wise(X))=>(~old(X)&~wise(X))))&
(![X]:((~happy(X)|~humble(X))=>quiet(X)))&
((?[X]:((~funny(X)&~curious(X))))<=>(?[X]:((kind(X)&~generous(X)))))&
(![X]:((~rich(X)|~funny(X))<=>(~happy(X)&~old(X))))&
((?[X]:((~brave(X)<~>~curious(X))))=>((~creative(paul)<~>tall(paul))))&
((?[X]:((~calm(X)<~>~old(X))))=>(o... | quiet(paul) | [
"p1",
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6827045214386024635220769
% SZS output start Proof for 6827045214386024635220769
2. ! [X0] : ((~humble(X0) | ~happy(X0)) => quiet(X0)) [input p1]
4. ! [X0] : ((~funny(X0) | ~rich(X0)) <=> (~old(X0) & ~happy(X0))) [input p3]
7. ! [X0] : ((~happy(X0) <~> rich(X0)) => (~humble(X0) & ~happy(X... | 0 |
Everyone who is both not old and not happy is not humble or tall and vice versa.
If alice is strong then alice is humble and vice versa.
Everyone who is both wise and creative is patient and vice versa.
If someone is kind or not tall then fred is both not patient and quiet.
Everyone who is both creative and strong is e... | Mary is not curious. | neutral | (![X]:((~old(X)&~happy(X))<=>(~humble(X)|tall(X))))&
((strong(alice))<=>(humble(alice)))&
(![X]:((wise(X)&creative(X))<=>patient(X)))&
((?[X]:((kind(X)|~tall(X))))=>((~patient(fred)&quiet(fred))))&
(![X]:((creative(X)&strong(X))<=>(~calm(X)<~>~strong(X))))&
(((brave(susan)<~>calm(susan)))=>(?[X]:(~humble(X))))&
(![X]:(... | ~curious(mary) | [] | null | 0 |
Everyone who is either wise or not kind is not brave and vice versa. Everyone who is either not funny or not calm is both generous and not kind and vice versa. If someone is not patient then someone is both not quiet and calm and vice versa. If someone is either not happy or not old then paul is both kind and not curio... | Lucy is curious. | entailment | (![X]:((wise(X)<~>~kind(X))<=>~brave(X)))&
(![X]:((~funny(X)<~>~calm(X))<=>(generous(X)&~kind(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~quiet(X)&calm(X)))))&
((?[X]:((~happy(X)<~>~old(X))))<=>((kind(paul)&~curious(paul))))&
((?[X]:((calm(X)<~>~brave(X))))<=>(?[X]:((kind(X)<~>~calm(X)))))&
((?[X]:(kind(X)))=>((~rich(lucy)... | curious(lucy) | [
"p0",
"p1",
"p2",
"p7",
"p8",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6393949093341611483685689
% SZS output start Proof for 6393949093341611483685689
1. ! [X0] : ((wise(X0) <~> ~kind(X0)) <=> ~brave(X0)) [input p0]
2. ! [X0] : ((~funny(X0) <~> ~calm(X0)) <=> (~kind(X0) & generous(X0))) [input p1]
3. ? [X0] : ~patient(X0) <=> ? [X0] : (calm(X0) & ~quiet(X0)... | 0 |
Everyone who is both not creative and not generous is either not humble or quiet and vice versa. Everyone who is wise or not kind is wise. If susan is both not calm and not humble then someone is not quiet or wise and vice versa. If someone is both not curious and quiet then susan is strong. If paul is old or patient t... | Paul is kind. | contradiction | (![X]:((~creative(X)&~generous(X))<=>(~humble(X)<~>quiet(X))))&
(![X]:((wise(X)|~kind(X))=>wise(X)))&
(((~calm(susan)&~humble(susan)))<=>(?[X]:((~quiet(X)|wise(X)))))&
((?[X]:((~curious(X)&quiet(X))))=>(strong(susan)))&
(((old(paul)|patient(paul)))<=>(?[X]:((~funny(X)|brave(X)))))&
(![X]:((~happy(X)&patient(X))<=>(~ric... | kind(paul) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1406104697730832273926983
% SZS output start Proof for 1406104697730832273926983
6. ! [X0] : ((patient(X0) & ~happy(X0)) <=> (rich(X0) | ~rich(X0))) [input p5]
8. ! [X0] : (patient(X0) => (~kind(X0) & ~funny(X0))) [input p7]
19. kind(paul) [input hypothesis]
25. ! [X0] : ((~kind(X0) & ~fu... | 0 |
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 either not quiet or curious then someone is either not wise or funny and vice versa.
If fred... | Susan is kind. | contradiction | (((~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(fred))=>((brave(fred)&strong(fred))))&
(![X]:((wise(X)|~tall(X))<=>ki... | kind(susan) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2977820791954163749724809
% SZS output start Proof for 2977820791954163749724809
8. ! [X0] : ((generous(X0) | kind(X0)) => (wise(X0) & humble(X0))) [input p7]
10. ! [X0] : (humble(X0) <=> (creative(X0) & ~kind(X0))) [input p9]
25. kind(susan) [input hypothesis]
30. ! [X0] : ((wise(X0) & h... | 0 |
If someone is either strong or curious then susan is both strong and not strong and vice versa.
Everyone who is not generous is not wise.
Everyone who is both not rich and tall is not generous.
Everyone who is either not funny or rich is patient.
Everyone who is both kind and not generous is either not calm or rich and... | Alice is patient. | contradiction | ((?[X]:((strong(X)<~>curious(X))))<=>((strong(susan)&~strong(susan))))&
(![X]:(~generous(X)=>~wise(X)))&
(![X]:((~rich(X)&tall(X))=>~generous(X)))&
(![X]:((~funny(X)<~>rich(X))=>patient(X)))&
(![X]:((kind(X)&~generous(X))<=>(~calm(X)<~>rich(X))))&
(![X]:(~generous(X)<=>patient(X)))&
(![X]:(creative(X)<=>(rich(X)<~>~qui... | patient(alice) | [
"p0",
"p5",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1345397497284959218877538
% SZS output start Proof for 1345397497284959218877538
1. ? [X0] : (strong(X0) <~> curious(X0)) <=> (~strong(susan) & strong(susan)) [input p0]
6. ! [X0] : (~generous(X0) <=> patient(X0)) [input p5]
9. ! [X0] : ((generous(X0) <~> strong(X0)) <=> (~brave(X0) & ~wi... | 0 |
If paul is calm or kind then paul is creative and vice versa.
If someone is both old and not happy then john is not rich or not patient.
Everyone who is creative is curious and vice versa.
If someone is generous or not patient then paul is either not curious or not creative.
Everyone who is brave or not patient is not ... | Paul is brave. | entailment | (((calm(paul)|kind(paul)))<=>(creative(paul)))&
((?[X]:((old(X)&~happy(X))))=>((~rich(john)|~patient(john))))&
(![X]:(creative(X)<=>curious(X)))&
((?[X]:((generous(X)|~patient(X))))=>((~curious(paul)<~>~creative(paul))))&
(![X]:((brave(X)|~patient(X))=>(~brave(X)|brave(X))))&
(![X]:((brave(X)&humble(X))<=>~calm(X)))&
(... | brave(paul) | [
"p0",
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1665915785207068765572103
% SZS output start Proof for 1665915785207068765572103
1. (kind(paul) | calm(paul)) <=> creative(paul) [input p0]
6. ! [X0] : ((humble(X0) & brave(X0)) <=> ~calm(X0)) [input p5]
19. ~tall(paul) & ~creative(paul) [input p18]
24. ~brave(paul) [input hypothesis]
38.... | 0 |
Everyone who is either quiet or tall is both not strong and wise.
Everyone who is kind or strong is either not tall or not quiet.
Everyone who is rich or not patient is either not generous or quiet and vice versa.
Everyone who is either tall or not creative is strong or patient and vice versa.
Everyone who is either no... | Susan is tall. | contradiction | (![X]:((quiet(X)<~>tall(X))=>(~strong(X)&wise(X))))&
(![X]:((kind(X)|strong(X))=>(~tall(X)<~>~quiet(X))))&
(![X]:((rich(X)|~patient(X))<=>(~generous(X)<~>quiet(X))))&
(![X]:((tall(X)<~>~creative(X))<=>(strong(X)|patient(X))))&
(![X]:((~wise(X)<~>~funny(X))<=>kind(X)))&
((?[X]:((happy(X)<~>wise(X))))<=>(?[X]:((wise(X)&~... | tall(susan) | [
"p3",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3572297966089574369260420
% SZS output start Proof for 3572297966089574369260420
4. ! [X0] : ((tall(X0) <~> ~creative(X0)) <=> (patient(X0) | strong(X0))) [input p3]
7. ! [X0] : ((~funny(X0) <~> old(X0)) <=> (patient(X0) & old(X0))) [input p6]
9. ! [X0] : ((~patient(X0) | ~funny(X0)) <=> ... | 0 |
If lucy is not tall or not kind then someone is either happy or creative.
Everyone who is tall or rich is either tall or curious and vice versa.
If someone is not kind or rich then mary is calm or wise.
Everyone who is old or wise is strong.
If mary is not happy or not quiet then alice is either curious or funny and vi... | Alice is calm. | contradiction | (((~tall(lucy)|~kind(lucy)))=>(?[X]:((happy(X)<~>creative(X)))))&
(![X]:((tall(X)|rich(X))<=>(tall(X)<~>curious(X))))&
((?[X]:((~kind(X)|rich(X))))=>((calm(mary)|wise(mary))))&
(![X]:((old(X)|wise(X))=>strong(X)))&
(((~happy(mary)|~quiet(mary)))<=>((curious(alice)<~>funny(alice))))&
(![X]:((~quiet(X)&old(X))=>(~patient... | calm(alice) | [
"p1",
"p6",
"p7",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5156959464930849352929341
% SZS output start Proof for 5156959464930849352929341
2. ! [X0] : ((rich(X0) | tall(X0)) <=> (tall(X0) <~> curious(X0))) [input p1]
7. ! [X0] : ((~quiet(X0) <~> old(X0)) => (kind(X0) & funny(X0))) [input p6]
8. ! [X0] : ((brave(X0) | old(X0)) <=> quiet(X0)) [inp... | 0 |
Everyone who is both not patient and not wise is not tall or not strong and vice versa. If fred is not wise or not humble then someone is either brave or not happy and vice versa. If paul is not wise or tall then fred is not strong. Everyone who is rich or not strong is not brave or not kind and vice versa. Everyone wh... | Susan is creative. | neutral | (![X]:((~patient(X)&~wise(X))<=>(~tall(X)|~strong(X))))&
(((~wise(fred)|~humble(fred)))<=>(?[X]:((brave(X)<~>~happy(X)))))&
(((~wise(paul)|tall(paul)))=>(~strong(fred)))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich(al... | creative(susan) | [] | null | 0 |
Everyone who is both kind and creative is either not curious or kind and vice versa. Everyone who is not brave is kind and vice versa. If someone is both not old and curious then someone is both calm and kind. If fred is both not old and not humble then someone is both wise and not calm. If fred is both not happy and n... | Mary is kind. | contradiction | (![X]:((kind(X)&creative(X))<=>(~curious(X)<~>kind(X))))&
(![X]:(~brave(X)<=>kind(X)))&
((?[X]:((~old(X)&curious(X))))=>(?[X]:((calm(X)&kind(X)))))&
(((~old(fred)&~humble(fred)))=>(?[X]:((wise(X)&~calm(X)))))&
(((~happy(fred)&~curious(fred)))<=>(?[X]:((~brave(X)|~tall(X)))))&
(![X]:((~quiet(X)|~wise(X))=>funny(X)))&
((... | kind(mary) | [
"p1",
"p4",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4405728812442216542191530
% SZS output start Proof for 4405728812442216542191530
2. ! [X0] : (~brave(X0) <=> kind(X0)) [input p1]
5. (~curious(fred) & ~happy(fred)) <=> ? [X0] : (~tall(X0) | ~brave(X0)) [input p4]
10. ! [X0] : ((~strong(X0) <~> ~curious(X0)) <=> tall(X0)) [input p9]
16. !... | 0 |
If someone is not happy then fred is tall.
If someone is both not curious and curious then someone is not curious.
If alice is wise then alice is creative and vice versa.
Everyone who is creative is either funny or not patient.
Everyone who is both not generous and not happy is strong or tall and vice versa.
If someone... | Susan is humble. | contradiction | ((?[X]:(~happy(X)))=>(tall(fred)))&
((?[X]:((~curious(X)&curious(X))))=>(?[X]:(~curious(X))))&
((wise(alice))<=>(creative(alice)))&
(![X]:(creative(X)=>(funny(X)<~>~patient(X))))&
(![X]:((~generous(X)&~happy(X))<=>(strong(X)|tall(X))))&
((?[X]:((~tall(X)|~calm(X))))=>((kind(lucy)<~>curious(lucy))))&
((?[X]:((~quiet(X)<... | humble(susan) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1281512188689804087929694
% SZS output start Proof for 1281512188689804087929694
20. ~funny(susan) & ~humble(susan) [input p19]
25. humble(susan) [input hypothesis]
127. ~humble(susan) [cnf transformation 20]
136. humble(susan) [cnf transformation 25]
242. $false [subsumption resolution 1... | 0 |
Everyone who is strong or not rich is not generous and vice versa.
Everyone who is calm is either not strong or humble and vice versa.
Everyone who is either generous or not rich is both old and kind and vice versa.
Everyone who is generous or kind is strong and vice versa.
Everyone who is not patient or humble is funn... | John is calm. | contradiction | (![X]:((strong(X)|~rich(X))<=>~generous(X)))&
(![X]:(calm(X)<=>(~strong(X)<~>humble(X))))&
(![X]:((generous(X)<~>~rich(X))<=>(old(X)&kind(X))))&
(![X]:((generous(X)|kind(X))<=>strong(X)))&
(![X]:((~patient(X)|humble(X))<=>funny(X)))&
((?[X]:((creative(X)&old(X))))=>(?[X]:((old(X)&creative(X)))))&
(![X]:((generous(X)|ha... | calm(john) | [
"p0",
"p1",
"p2",
"p3",
"p11",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1058198845930215122581999
% SZS output start Proof for 1058198845930215122581999
1. ! [X0] : ((~rich(X0) | strong(X0)) <=> ~generous(X0)) [input p0]
2. ! [X0] : (calm(X0) <=> (~strong(X0) <~> humble(X0))) [input p1]
3. ! [X0] : ((generous(X0) <~> ~rich(X0)) <=> (kind(X0) & old(X0))) [inpu... | 0 |
If someone is not calm then paul is quiet or not brave.
Everyone who is both not humble and curious is both humble and not calm.
Everyone who is not wise is either not happy or patient.
If someone is generous then susan is both not calm and old.
Everyone who is either old or strong is generous and vice versa.
Everyone ... | John is rich. | contradiction | ((?[X]:(~calm(X)))=>((quiet(paul)|~brave(paul))))&
(![X]:((~humble(X)&curious(X))=>(humble(X)&~calm(X))))&
(![X]:(~wise(X)=>(~happy(X)<~>patient(X))))&
((?[X]:(generous(X)))=>((~calm(susan)&old(susan))))&
(![X]:((old(X)<~>strong(X))<=>generous(X)))&
(![X]:((~wise(X)<~>~quiet(X))=>(kind(X)|wise(X))))&
(![X]:(humble(X)<=... | rich(john) | [
"p6",
"p7",
"p9",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 550747929662106219157157
% SZS output start Proof for 550747929662106219157157
7. ! [X0] : (humble(X0) <=> ~tall(X0)) [input p6]
8. ! [X0] : ((humble(X0) & ~brave(X0)) <=> brave(X0)) [input p7]
10. ! [X0] : (wise(X0) <=> (tall(X0) | humble(X0))) [input p9]
11. ? [X0] : ~wise(X0) <=> ? [X0... | 0 |
If mary is both not patient and not calm then susan is either not tall or not curious and vice versa. Everyone who is not old or wise is quiet or not calm and vice versa. Everyone who is both not tall and quiet is both not funny and not rich and vice versa. Everyone who is not rich is rich. Everyone who is not calm or ... | Mary is old. | neutral | (((~patient(mary)&~calm(mary)))<=>((~tall(susan)<~>~curious(susan))))&
(![X]:((~old(X)|wise(X))<=>(quiet(X)|~calm(X))))&
(![X]:((~tall(X)&quiet(X))<=>(~funny(X)&~rich(X))))&
(![X]:(~rich(X)=>rich(X)))&
(![X]:((~calm(X)|happy(X))<=>(humble(X)&~rich(X))))&
((?[X]:((~brave(X)|~rich(X))))<=>(?[X]:((~strong(X)|~old(X)))))&
... | old(mary) | [] | null | 0 |
If someone is kind then someone is either wise or patient and vice versa. Everyone who is not creative is brave or not calm and vice versa. Everyone who is not generous or not creative is old or not humble. If someone is either not funny or creative then someone is not humble and vice versa. Everyone who is either kind... | John is funny. | entailment | ((?[X]:(kind(X)))<=>(?[X]:((wise(X)<~>patient(X)))))&
(![X]:(~creative(X)<=>(brave(X)|~calm(X))))&
(![X]:((~generous(X)|~creative(X))=>(old(X)|~humble(X))))&
((?[X]:((~funny(X)<~>creative(X))))<=>(?[X]:(~humble(X))))&
(![X]:((kind(X)<~>curious(X))=>(~creative(X)&~kind(X))))&
(![X]:((~calm(X)&~generous(X))=>(rich(X)&~st... | funny(john) | [
"p4",
"p6",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1591643204850053256885875
% SZS output start Proof for 1591643204850053256885875
5. ! [X0] : ((kind(X0) <~> curious(X0)) => (~kind(X0) & ~creative(X0))) [input p4]
7. ! [X0] : ((~funny(X0) | ~calm(X0)) <=> (rich(X0) & kind(X0))) [input p6]
11. ! [X0] : ((~funny(X0) & patient(X0)) => old(X... | 0 |
If someone is either not curious or not patient then someone is both not kind and not humble.
If alice is quiet or wise then alice is either not patient or not funny.
Everyone who is not brave is either not brave or generous and vice versa.
Everyone who is both rich and not kind is either creative or patient and vice v... | Fred is not humble. | contradiction | ((?[X]:((~curious(X)<~>~patient(X))))=>(?[X]:((~kind(X)&~humble(X)))))&
(((quiet(alice)|wise(alice)))=>((~patient(alice)<~>~funny(alice))))&
(![X]:(~brave(X)<=>(~brave(X)<~>generous(X))))&
(![X]:((rich(X)&~kind(X))<=>(creative(X)<~>patient(X))))&
(![X]:(~rich(X)<=>(~old(X)|funny(X))))&
((~funny(paul))<=>(?[X]:(strong(X... | ~humble(fred) | [
"p2",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2774797707909210555424583
% SZS output start Proof for 2774797707909210555424583
3. ! [X0] : (~brave(X0) <=> (~brave(X0) <~> generous(X0))) [input p2]
8. ! [X0] : ((brave(X0) | ~strong(X0)) => ~brave(X0)) [input p7]
13. ! [X0] : ((~humble(X0) & ~generous(X0)) <=> brave(X0)) [input p12]
25... | 0 |
If someone is both not generous and not curious then someone is tall or humble.
If someone is not creative then paul is happy or not brave.
Everyone who is not wise is both funny and not generous and vice versa.
If mary is both humble and creative then someone is not rich and vice versa.
Everyone who is brave is both n... | John is tall. | contradiction | ((?[X]:((~generous(X)&~curious(X))))=>(?[X]:((tall(X)|humble(X)))))&
((?[X]:(~creative(X)))=>((happy(paul)|~brave(paul))))&
(![X]:(~wise(X)<=>(funny(X)&~generous(X))))&
(((humble(mary)&creative(mary)))<=>(?[X]:(~rich(X))))&
(![X]:(brave(X)=>(~funny(X)&curious(X))))&
(![X]:((creative(X)|funny(X))<=>(brave(X)|~tall(X))))... | tall(john) | [
"p2",
"p4",
"p5",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6650954998108987666785389
% SZS output start Proof for 6650954998108987666785389
3. ! [X0] : (~wise(X0) <=> (~generous(X0) & funny(X0))) [input p2]
5. ! [X0] : (brave(X0) => (curious(X0) & ~funny(X0))) [input p4]
6. ! [X0] : ((funny(X0) | creative(X0)) <=> (~tall(X0) | brave(X0))) [input ... | 0 |
Everyone who is either not happy or happy is tall and vice versa.
Everyone who is either not patient or not tall is brave or not happy.
Everyone who is both funny and not wise is either quiet or not wise.
Everyone who is either not wise or not curious is rich.
If fred is curious or quiet then susan is not creative or n... | Paul is not calm. | neutral | (![X]:((~happy(X)<~>happy(X))<=>tall(X)))&
(![X]:((~patient(X)<~>~tall(X))=>(brave(X)|~happy(X))))&
(![X]:((funny(X)&~wise(X))=>(quiet(X)<~>~wise(X))))&
(![X]:((~wise(X)<~>~curious(X))=>rich(X)))&
(((curious(fred)|quiet(fred)))<=>((~creative(susan)|~calm(susan))))&
((quiet(susan))<=>(?[X]:((~quiet(X)&tall(X)))))&
(![X]... | ~calm(paul) | [] | null | 0 |
Everyone who is not strong or not humble is both not happy and not rich. Everyone who is either not old or happy is not tall. Everyone who is not brave or not happy is old or not tall and vice versa. Everyone who is kind or generous is either creative or not strong and vice versa. Everyone who is both humble and not ge... | Mary is quiet. | contradiction | (![X]:((~strong(X)|~humble(X))=>(~happy(X)&~rich(X))))&
(![X]:((~old(X)<~>happy(X))=>~tall(X)))&
(![X]:((~brave(X)|~happy(X))<=>(old(X)|~tall(X))))&
(![X]:((kind(X)|generous(X))<=>(creative(X)<~>~strong(X))))&
(![X]:((humble(X)&~generous(X))=>(~patient(X)&~humble(X))))&
(![X]:((patient(X)|~quiet(X))<=>~patient(X)))&
(!... | quiet(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4514933573437294402645351
% SZS output start Proof for 4514933573437294402645351
6. ! [X0] : ((~quiet(X0) | patient(X0)) <=> ~patient(X0)) [input p5]
21. quiet(mary) [input hypothesis]
36. ! [X0] : (((~quiet(X0) | patient(X0)) | patient(X0)) & (~patient(X0) | (quiet(X0) & ~patient(X0)))) ... | 0 |
If someone is old or humble then someone is either generous or brave and vice versa.
Everyone who is not kind is not strong or not generous.
If someone is happy or curious then mary is not old or not curious.
Everyone who is not wise or generous is quiet or not kind.
If someone is kind or humble then someone is both hu... | Paul is patient. | neutral | ((?[X]:((old(X)|humble(X))))<=>(?[X]:((generous(X)<~>brave(X)))))&
(![X]:(~kind(X)=>(~strong(X)|~generous(X))))&
((?[X]:((happy(X)|curious(X))))=>((~old(mary)|~curious(mary))))&
(![X]:((~wise(X)|generous(X))=>(quiet(X)|~kind(X))))&
((?[X]:((kind(X)|humble(X))))=>(?[X]:((humble(X)&patient(X)))))&
(![X]:((funny(X)|patien... | patient(paul) | [] | null | 0 |
Everyone who is either not old or kind is rich or funny. Everyone who is either not calm or strong is strong and vice versa. Everyone who is either not creative or not wise is either not rich or humble and vice versa. Everyone who is both not old and strong is not patient. Everyone who is both not strong and tall is no... | Paul is wise. | neutral | (![X]:((~old(X)<~>kind(X))=>(rich(X)|funny(X))))&
(![X]:((~calm(X)<~>strong(X))<=>strong(X)))&
(![X]:((~creative(X)<~>~wise(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((~old(X)&strong(X))=>~patient(X)))&
(![X]:((~strong(X)&tall(X))=>~creative(X)))&
(![X]:((~creative(X)&patient(X))=>wise(X)))&
(![X]:((old(X)<~>~wise(X))=>(~o... | wise(paul) | [] | null | 0 |
If john is not humble or curious then someone is humble or not patient. If someone is not patient then someone is happy. If someone is not happy then mary is wise and vice versa. Everyone who is both creative and brave is either patient or not quiet and vice versa. Everyone who is either not kind or tall is both not ri... | Susan is not funny. | contradiction | (((~humble(john)|curious(john)))=>(?[X]:((humble(X)|~patient(X)))))&
((?[X]:(~patient(X)))=>(?[X]:(happy(X))))&
((?[X]:(~happy(X)))<=>(wise(mary)))&
(![X]:((creative(X)&brave(X))<=>(patient(X)<~>~quiet(X))))&
(![X]:((~kind(X)<~>tall(X))=>(~rich(X)&~brave(X))))&
(![X]:((~calm(X)|generous(X))=>(quiet(X)|humble(X))))&
((?... | ~funny(susan) | [
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7985944975575991654126758
% SZS output start Proof for 7985944975575991654126758
21. ~patient(susan) <~> ~funny(susan) [input p20]
23. ~patient(susan) [input p22]
25. ~funny(susan) [input hypothesis]
78. (funny(susan) | patient(susan)) & (~funny(susan) | ~patient(susan)) [nnf transformati... | 0 |
If paul is either not funny or wise then paul is either not old or not wise and vice versa.
If fred is not kind or patient then someone is either patient or brave and vice versa.
Everyone who is either calm or old is not tall or not old.
Everyone who is not humble or not generous is not calm and vice versa.
Everyone wh... | Susan is calm. | contradiction | (((~funny(paul)<~>wise(paul)))<=>((~old(paul)<~>~wise(paul))))&
(((~kind(fred)|patient(fred)))<=>(?[X]:((patient(X)<~>brave(X)))))&
(![X]:((calm(X)<~>old(X))=>(~tall(X)|~old(X))))&
(![X]:((~humble(X)|~generous(X))<=>~calm(X)))&
(![X]:((~humble(X)&kind(X))=>(calm(X)<~>happy(X))))&
((?[X]:((~quiet(X)&creative(X))))=>((qu... | calm(susan) | [
"p3",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1801993274410873369934673
% SZS output start Proof for 1801993274410873369934673
4. ! [X0] : ((~generous(X0) | ~humble(X0)) <=> ~calm(X0)) [input p3]
20. ~generous(susan) [input p19]
25. calm(susan) [input hypothesis]
43. ! [X0] : (((~generous(X0) | ~humble(X0)) | calm(X0)) & (~calm(X0) |... | 0 |
Everyone who is both old and not wise is humble or not brave and vice versa.
Everyone who is either not brave or happy is not patient and vice versa.
If susan is either not patient or old then someone is not generous and vice versa.
Everyone who is not curious is curious or creative.
If someone is not brave then john i... | Mary is not tall. | entailment | (![X]:((old(X)&~wise(X))<=>(humble(X)|~brave(X))))&
(![X]:((~brave(X)<~>happy(X))<=>~patient(X)))&
(((~patient(susan)<~>old(susan)))<=>(?[X]:(~generous(X))))&
(![X]:(~curious(X)=>(curious(X)|creative(X))))&
((?[X]:(~brave(X)))=>((generous(john)<~>calm(john))))&
(![X]:((creative(X)&~patient(X))=>kind(X)))&
((?[X]:((~kin... | ~tall(mary) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p8",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6102522386346232650703795
% SZS output start Proof for 6102522386346232650703795
1. ! [X0] : ((~wise(X0) & old(X0)) <=> (~brave(X0) | humble(X0))) [input p0]
2. ! [X0] : ((~brave(X0) <~> happy(X0)) <=> ~patient(X0)) [input p1]
4. ! [X0] : (~curious(X0) => (creative(X0) | curious(X0))) [in... | 0 |
Everyone who is both humble and not tall is either not tall or not curious.
If mary is either not old or happy then paul is both happy and creative.
Everyone who is both not creative and not kind is not old and vice versa.
If paul is either not calm or not tall then someone is either not strong or not brave and vice ve... | Paul is quiet. | entailment | (![X]:((humble(X)&~tall(X))=>(~tall(X)<~>~curious(X))))&
(((~old(mary)<~>happy(mary)))=>((happy(paul)&creative(paul))))&
(![X]:((~creative(X)&~kind(X))<=>~old(X)))&
(((~calm(paul)<~>~tall(paul)))<=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:(~old(X)<=>~happy(X)))&
(![X]:((~generous(X)<~>~humble(X))<=>(~old(X)<~>quiet(X)... | quiet(paul) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1033692721894000960463127
% SZS output start Proof for 1033692721894000960463127
2. (~old(mary) <~> happy(mary)) => (creative(paul) & happy(paul)) [input p1]
3. ! [X0] : ((~kind(X0) & ~creative(X0)) <=> ~old(X0)) [input p2]
5. ! [X0] : (~old(X0) <=> ~happy(X0)) [input p4]
6. ! [X0] : ((~g... | 0 |
If lucy is not rich then paul is not wise and vice versa. If paul is not funny then someone is not rich. Everyone who is not curious is both funny and not funny and vice versa. Everyone who is both not tall and not old is both not creative and patient. Everyone who is not calm is old. Everyone who is happy or not quiet... | Mary is generous. | entailment | ((~rich(lucy))<=>(~wise(paul)))&
((~funny(paul))=>(?[X]:(~rich(X))))&
(![X]:(~curious(X)<=>(funny(X)&~funny(X))))&
(![X]:((~tall(X)&~old(X))=>(~creative(X)&patient(X))))&
(![X]:(~calm(X)=>old(X)))&
(![X]:((happy(X)|~quiet(X))=>(happy(X)<~>~quiet(X))))&
(![X]:(tall(X)<=>(rich(X)<~>curious(X))))&
(![X]:((happy(X)|~quiet(... | generous(mary) | [
"p5",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3144425984370545220165043
% SZS output start Proof for 3144425984370545220165043
6. ! [X0] : ((~quiet(X0) | happy(X0)) => (happy(X0) <~> ~quiet(X0))) [input p5]
14. ! [X0] : ((generous(X0) <~> ~happy(X0)) <=> (happy(X0) & ~strong(X0))) [input p13]
18. kind(mary) & ~quiet(mary) [input p17]... | 0 |
If someone is both tall and not funny then someone is either calm or not generous and vice versa.
If fred is both creative and humble then fred is either not humble or curious and vice versa.
Everyone who is either not creative or funny is both generous and wise and vice versa.
Everyone who is either generous or not ta... | Alice is curious. | contradiction | ((?[X]:((tall(X)&~funny(X))))<=>(?[X]:((calm(X)<~>~generous(X)))))&
(((creative(fred)&humble(fred)))<=>((~humble(fred)<~>curious(fred))))&
(![X]:((~creative(X)<~>funny(X))<=>(generous(X)&wise(X))))&
(![X]:((generous(X)<~>~tall(X))=>~brave(X)))&
(![X]:((brave(X)<~>~humble(X))<=>(~old(X)<~>kind(X))))&
(![X]:(curious(X)<=... | curious(alice) | [
"p5",
"p9",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 51698765030536672481566
% SZS output start Proof for 51698765030536672481566
6. ! [X0] : (curious(X0) <=> (generous(X0) & quiet(X0))) [input p5]
10. ! [X0] : ((tall(X0) | ~curious(X0)) <=> (old(X0) & ~happy(X0))) [input p9]
12. ! [X0] : ((generous(X0) <~> ~old(X0)) => (kind(X0) <~> ~curio... | 0 |
Everyone who is not calm or not generous is not generous or brave.
Everyone who is both creative and calm is not strong or curious and vice versa.
Everyone who is patient is not brave or not calm.
Everyone who is not strong is not creative and vice versa.
If someone is not rich or not curious then john is patient and v... | John is humble. | contradiction | (![X]:((~calm(X)|~generous(X))=>(~generous(X)|brave(X))))&
(![X]:((creative(X)&calm(X))<=>(~strong(X)|curious(X))))&
(![X]:(patient(X)=>(~brave(X)|~calm(X))))&
(![X]:(~strong(X)<=>~creative(X)))&
((?[X]:((~rich(X)|~curious(X))))<=>(patient(john)))&
((?[X]:((~curious(X)<~>strong(X))))=>(?[X]:((~tall(X)|~old(X)))))&
((?[... | humble(john) | [
"p1",
"p3",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1860557938397902978633202
% SZS output start Proof for 1860557938397902978633202
2. ! [X0] : ((calm(X0) & creative(X0)) <=> (curious(X0) | ~strong(X0))) [input p1]
4. ! [X0] : (~strong(X0) <=> ~creative(X0)) [input p3]
7. ? [X0] : (~old(X0) | quiet(X0)) => ~creative(mary) [input p6]
12. !... | 0 |
If paul is either not rich or not kind then susan is either not brave or brave and vice versa. If someone is either not old or not humble then someone is either patient or strong and vice versa. If someone is either kind or generous then john is both happy and brave and vice versa. If someone is either not creative or ... | Fred is not wise. | neutral | (((~rich(paul)<~>~kind(paul)))<=>((~brave(susan)<~>brave(susan))))&
((?[X]:((~old(X)<~>~humble(X))))<=>(?[X]:((patient(X)<~>strong(X)))))&
((?[X]:((kind(X)<~>generous(X))))<=>((happy(john)&brave(john))))&
((?[X]:((~creative(X)<~>~happy(X))))=>((~tall(fred)|~strong(fred))))&
(![X]:((~curious(X)<~>patient(X))<=>~patient(... | ~wise(fred) | [] | null | 0 |
If alice is both not kind and generous then someone is not calm. Everyone who is both not generous and rich is wise or not kind. If mary is either not patient or funny then susan is not quiet and vice versa. If alice is both old and not strong then someone is patient or not patient and vice versa. If someone is not cur... | Lucy is brave. | contradiction | (((~kind(alice)&generous(alice)))=>(?[X]:(~calm(X))))&
(![X]:((~generous(X)&rich(X))=>(wise(X)|~kind(X))))&
(((~patient(mary)<~>funny(mary)))<=>(~quiet(susan)))&
(((old(alice)&~strong(alice)))<=>(?[X]:((patient(X)|~patient(X)))))&
((?[X]:(~curious(X)))=>(?[X]:((curious(X)|creative(X)))))&
(![X]:(funny(X)<=>quiet(X)))&
... | brave(lucy) | [
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7963128164698247614232124
% SZS output start Proof for 7963128164698247614232124
7. ! [X0] : ((~wise(X0) & ~tall(X0)) <=> (~funny(X0) & brave(X0))) [input p6]
11. ! [X0] : ((tall(X0) & creative(X0)) <=> (curious(X0) | ~curious(X0))) [input p10]
13. ? [X0] : (~happy(X0) | funny(X0)) <=> ? ... | 0 |
If john is either tall or generous then someone is not strong and vice versa.
Everyone who is either tall or wise is humble.
If someone is both not curious and not old then mary is rich or not old and vice versa.
Everyone who is both quiet and curious is either generous or not old.
Everyone who is either quiet or not c... | Alice is wise. | neutral | (((tall(john)<~>generous(john)))<=>(?[X]:(~strong(X))))&
(![X]:((tall(X)<~>wise(X))=>humble(X)))&
((?[X]:((~curious(X)&~old(X))))<=>((rich(mary)|~old(mary))))&
(![X]:((quiet(X)&curious(X))=>(generous(X)<~>~old(X))))&
(![X]:((quiet(X)<~>~curious(X))<=>creative(X)))&
((~humble(susan))<=>((patient(fred)<~>tall(fred))))&
(... | wise(alice) | [] | null | 0 |
Everyone who is not old is old or creative and vice versa.
If someone is not wise then mary is not brave.
Everyone who is either not funny or not curious is kind or brave and vice versa.
If john is not rich or not calm then someone is either not happy or not tall and vice versa.
If fred is both tall and happy then some... | Alice is not wise. | contradiction | (![X]:(~old(X)<=>(old(X)|creative(X))))&
((?[X]:(~wise(X)))=>(~brave(mary)))&
(![X]:((~funny(X)<~>~curious(X))<=>(kind(X)|brave(X))))&
(((~rich(john)|~calm(john)))<=>(?[X]:((~happy(X)<~>~tall(X)))))&
(((tall(fred)&happy(fred)))=>(?[X]:((~happy(X)|strong(X)))))&
(![X]:((~curious(X)&kind(X))<=>(~funny(X)|~creative(X))))&... | ~wise(alice) | [
"p0",
"p1",
"p2",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4173904843411893523663366
% SZS output start Proof for 4173904843411893523663366
1. ! [X0] : (~old(X0) <=> (creative(X0) | old(X0))) [input p0]
2. ? [X0] : ~wise(X0) => ~brave(mary) [input p1]
3. ! [X0] : ((~funny(X0) <~> ~curious(X0)) <=> (brave(X0) | kind(X0))) [input p2]
6. ! [X0] : ((... | 0 |
Everyone who is brave is both brave and not calm and vice versa.
Everyone who is either not funny or not humble is both humble and not patient.
If fred is either not old or old then susan is either quiet or calm.
Everyone who is tall is funny.
If john is not kind then john is either tall or not quiet and vice versa.
Ev... | Mary is not humble. | neutral | (![X]:(brave(X)<=>(brave(X)&~calm(X))))&
(![X]:((~funny(X)<~>~humble(X))=>(humble(X)&~patient(X))))&
(((~old(fred)<~>old(fred)))=>((quiet(susan)<~>calm(susan))))&
(![X]:(tall(X)=>funny(X)))&
((~kind(john))<=>((tall(john)<~>~quiet(john))))&
(![X]:((patient(X)|~quiet(X))=>(~tall(X)|funny(X))))&
((?[X]:(~strong(X)))=>(?[X... | ~humble(mary) | [] | null | 0 |
Everyone who is both funny and creative is either not wise or not rich and vice versa.
Everyone who is not curious or generous is patient or not wise.
If john is not generous then someone is not wise or not curious and vice versa.
Everyone who is generous is calm or not generous.
Everyone who is both creative and calm ... | Susan is curious. | neutral | (![X]:((funny(X)&creative(X))<=>(~wise(X)<~>~rich(X))))&
(![X]:((~curious(X)|generous(X))=>(patient(X)|~wise(X))))&
((~generous(john))<=>(?[X]:((~wise(X)|~curious(X)))))&
(![X]:(generous(X)=>(calm(X)|~generous(X))))&
(![X]:((creative(X)&calm(X))=>(~patient(X)&strong(X))))&
((?[X]:((brave(X)&creative(X))))<=>((patient(m... | curious(susan) | [] | null | 0 |
If fred is either not strong or brave then someone is either not calm or not funny.
Everyone who is either strong or not tall is both strong and not kind and vice versa.
Everyone who is both not creative and not generous is calm and vice versa.
Everyone who is either not funny or not strong is either tall or not wise a... | Paul is not kind. | neutral | (((~strong(fred)<~>brave(fred)))=>(?[X]:((~calm(X)<~>~funny(X)))))&
(![X]:((strong(X)<~>~tall(X))<=>(strong(X)&~kind(X))))&
(![X]:((~creative(X)&~generous(X))<=>calm(X)))&
(![X]:((~funny(X)<~>~strong(X))<=>(tall(X)<~>~wise(X))))&
(![X]:((~humble(X)|~brave(X))=>(quiet(X)|~old(X))))&
((?[X]:((~calm(X)&~wise(X))))=>(?[X]:... | ~kind(paul) | [] | null | 0 |
If someone is brave or not rich then fred is either not funny or not old. Everyone who is either not rich or wise is either not strong or wise and vice versa. If paul is either not happy or not tall then susan is not happy or not strong and vice versa. Everyone who is both wise and not creative is creative or generous ... | Lucy is not rich. | entailment | ((?[X]:((brave(X)|~rich(X))))=>((~funny(fred)<~>~old(fred))))&
(![X]:((~rich(X)<~>wise(X))<=>(~strong(X)<~>wise(X))))&
(((~happy(paul)<~>~tall(paul)))<=>((~happy(susan)|~strong(susan))))&
(![X]:((wise(X)&~creative(X))<=>(creative(X)|generous(X))))&
(((quiet(susan)<~>~strong(susan)))=>((~kind(alice)|~brave(alice))))&
(!... | ~rich(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 15961285515745047477153
% SZS output start Proof for 15961285515745047477153
7. ! [X0] : (rich(X0) <=> (~curious(X0) & curious(X0))) [input p6]
23. rich(lucy) [input hypothesis]
40. ! [X0] : ((rich(X0) | (curious(X0) | ~curious(X0))) & ((~curious(X0) & curious(X0)) | ~rich(X0))) [nnf tran... | 0 |
If mary is old or not quiet then susan is patient or kind and vice versa.
Everyone who is not humble is both not creative and not old and vice versa.
Everyone who is both quiet and happy is both not creative and old.
Everyone who is both not old and brave is both calm and not wise and vice versa.
Everyone who is humble... | Susan is creative. | contradiction | (((old(mary)|~quiet(mary)))<=>((patient(susan)|kind(susan))))&
(![X]:(~humble(X)<=>(~creative(X)&~old(X))))&
(![X]:((quiet(X)&happy(X))=>(~creative(X)&old(X))))&
(![X]:((~old(X)&brave(X))<=>(calm(X)&~wise(X))))&
(![X]:((humble(X)|~rich(X))<=>(~tall(X)<~>calm(X))))&
(![X]:(~kind(X)=>(strong(X)<~>~happy(X))))&
((?[X]:((t... | creative(susan) | [
"p1",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 359728466312848939656840
% SZS output start Proof for 359728466312848939656840
2. ! [X0] : (~humble(X0) <=> (~old(X0) & ~creative(X0))) [input p1]
16. (generous(susan) | humble(susan)) <=> (~humble(mary) & ~rich(mary)) [input p15]
18. generous(mary) & old(mary) [input p17]
24. creative(su... | 0 |
Everyone who is both not quiet and not generous is both rich and not funny and vice versa. Everyone who is curious or not wise is creative or tall. Everyone who is both not kind and not calm is both strong and not quiet. Everyone who is rich is not patient or happy and vice versa. If someone is both curious and not old... | Paul is not humble. | contradiction | (![X]:((~quiet(X)&~generous(X))<=>(rich(X)&~funny(X))))&
(![X]:((curious(X)|~wise(X))=>(creative(X)|tall(X))))&
(![X]:((~kind(X)&~calm(X))=>(strong(X)&~quiet(X))))&
(![X]:(rich(X)<=>(~patient(X)|happy(X))))&
((?[X]:((curious(X)&~old(X))))<=>((calm(alice)|~brave(alice))))&
(![X]:(brave(X)<=>(~brave(X)<~>~generous(X))))&... | ~humble(paul) | [
"p3",
"p5",
"p9",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 69942233911388013420047
% SZS output start Proof for 69942233911388013420047
4. ! [X0] : (rich(X0) <=> (happy(X0) | ~patient(X0))) [input p3]
6. ! [X0] : (brave(X0) <=> (~brave(X0) <~> ~generous(X0))) [input p5]
10. ? [X0] : rich(X0) => (~happy(paul) & humble(paul)) [input p9]
14. ! [X0] ... | 0 |
Everyone who is wise is both not strong and wise and vice versa.
If someone is humble then susan is both not wise and curious.
If susan is either not humble or tall then someone is either not strong or kind.
Everyone who is kind or not tall is either not funny or not brave.
Everyone who is both not calm and not old is ... | Fred is creative. | contradiction | (![X]:(wise(X)<=>(~strong(X)&wise(X))))&
((?[X]:(humble(X)))=>((~wise(susan)&curious(susan))))&
(((~humble(susan)<~>tall(susan)))=>(?[X]:((~strong(X)<~>kind(X)))))&
(![X]:((kind(X)|~tall(X))=>(~funny(X)<~>~brave(X))))&
(![X]:((~calm(X)&~old(X))<=>(rich(X)|creative(X))))&
(![X]:((brave(X)&humble(X))=>(~generous(X)<~>~pa... | creative(fred) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8635543561045952832554709
% SZS output start Proof for 8635543561045952832554709
5. ! [X0] : ((~old(X0) & ~calm(X0)) <=> (creative(X0) | rich(X0))) [input p4]
10. ! [X0] : ((curious(X0) & calm(X0)) <=> ~calm(X0)) [input p9]
24. creative(fred) [input hypothesis]
43. ! [X0] : (((~old(X0) & ... | 0 |
Everyone who is not generous is not curious. Everyone who is both patient and strong is not humble or patient. If alice is both not tall and not wise then john is either not brave or not patient and vice versa. If susan is not funny then someone is either not calm or brave. If lucy is both creative and not humble then ... | Alice is funny. | neutral | (![X]:(~generous(X)=>~curious(X)))&
(![X]:((patient(X)&strong(X))=>(~humble(X)|patient(X))))&
(((~tall(alice)&~wise(alice)))<=>((~brave(john)<~>~patient(john))))&
((~funny(susan))=>(?[X]:((~calm(X)<~>brave(X)))))&
(((creative(lucy)&~humble(lucy)))<=>(~humble(fred)))&
(![X]:((~brave(X)<~>~calm(X))=>~strong(X)))&
(((stro... | funny(alice) | [] | null | 0 |
Everyone who is both not patient and quiet is not happy.
Everyone who is old or kind is old and vice versa.
If susan is either generous or not quiet then lucy is not rich.
Everyone who is wise is creative or happy and vice versa.
Everyone who is funny is both not creative and generous and vice versa.
If paul is either ... | Alice is not rich. | contradiction | (![X]:((~patient(X)&quiet(X))=>~happy(X)))&
(![X]:((old(X)|kind(X))<=>old(X)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)<=>(creative(X)|happy(X))))&
(![X]:(funny(X)<=>(~creative(X)&generous(X))))&
(((tall(paul)<~>~creative(paul)))<=>((calm(lucy)|~creative(lucy))))&
(![X]:((~happy(X)|~humble(... | ~rich(alice) | [
"p1",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2684352160878884997197189
% SZS output start Proof for 2684352160878884997197189
2. ! [X0] : ((kind(X0) | old(X0)) <=> old(X0)) [input p1]
7. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> rich(X0)) [input p6]
13. ! [X0] : (old(X0) => (~funny(X0) & ~humble(X0))) [input p12]
15. ! [X0] : (old(X0... | 0 |
If someone is not happy or old then someone is not generous and vice versa.
If john is not funny or not brave then john is humble or creative.
If john is not calm then someone is either patient or not rich.
If mary is not humble or happy then alice is both tall and not brave.
If susan is either not rich or brave then s... | Susan is not strong. | entailment | ((?[X]:((~happy(X)|old(X))))<=>(?[X]:(~generous(X))))&
(((~funny(john)|~brave(john)))=>((humble(john)|creative(john))))&
((~calm(john))=>(?[X]:((patient(X)<~>~rich(X)))))&
(((~humble(mary)|happy(mary)))=>((tall(alice)&~brave(alice))))&
(((~rich(susan)<~>brave(susan)))<=>(?[X]:((~humble(X)|~wise(X)))))&
(![X]:(rich(X)<=... | ~strong(susan) | [
"p4",
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4827114494417518994739834
% SZS output start Proof for 4827114494417518994739834
5. (~rich(susan) <~> brave(susan)) <=> ? [X0] : (~wise(X0) | ~humble(X0)) [input p4]
6. ! [X0] : (rich(X0) <=> (~brave(X0) | ~strong(X0))) [input p5]
8. ! [X0] : ((~quiet(X0) | funny(X0)) <=> (~happy(X0) & ri... | 0 |
Everyone who is not wise is either quiet or not creative.
Everyone who is brave is either not curious or creative and vice versa.
Everyone who is not patient is rich or not creative and vice versa.
If fred is either quiet or not brave then someone is either not strong or not brave.
Everyone who is quiet or old is eithe... | Fred is old. | entailment | (![X]:(~wise(X)=>(quiet(X)<~>~creative(X))))&
(![X]:(brave(X)<=>(~curious(X)<~>creative(X))))&
(![X]:(~patient(X)<=>(rich(X)|~creative(X))))&
(((quiet(fred)<~>~brave(fred)))=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:((quiet(X)|old(X))=>(curious(X)<~>~old(X))))&
(![X]:((~funny(X)&humble(X))=>(~brave(X)|~happy(X))))&
(!... | old(fred) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2137749777504753922165200
% SZS output start Proof for 2137749777504753922165200
3. ! [X0] : (~patient(X0) <=> (~creative(X0) | rich(X0))) [input p2]
16. ! [X0] : ((~old(X0) | rich(X0)) => (~creative(X0) & patient(X0))) [input p15]
23. ~old(fred) [input hypothesis]
35. ! [X0] : ((~creativ... | 0 |
If susan is both patient and quiet then someone is both calm and tall.
Everyone who is curious or not strong is generous and vice versa.
Everyone who is both rich and not rich is creative or not curious and vice versa.
If lucy is both not old and strong then john is either rich or not curious.
If alice is either not fu... | Fred is not brave. | contradiction | (((patient(susan)&quiet(susan)))=>(?[X]:((calm(X)&tall(X)))))&
(![X]:((curious(X)|~strong(X))<=>generous(X)))&
(![X]:((rich(X)&~rich(X))<=>(creative(X)|~curious(X))))&
(((~old(lucy)&strong(lucy)))=>((rich(john)<~>~curious(john))))&
(((~funny(alice)<~>~strong(alice)))<=>(?[X]:((calm(X)<~>old(X)))))&
(((~wise(alice)|~cal... | ~brave(fred) | [
"p2",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4258626034276159413789880
% SZS output start Proof for 4258626034276159413789880
3. ! [X0] : ((~rich(X0) & rich(X0)) <=> (~curious(X0) | creative(X0))) [input p2]
7. (creative(john) & rich(john)) <=> (strong(paul) | old(paul)) [input p6]
14. ? [X0] : (old(X0) <~> ~strong(X0)) => (rich(fre... | 0 |
If someone is not kind or kind then someone is both brave and not creative and vice versa.
Everyone who is both not old and not happy is both not humble and not tall.
If someone is not curious then someone is generous or rich and vice versa.
If someone is humble or generous then someone is either tall or funny and vice... | Alice is not strong. | neutral | ((?[X]:((~kind(X)|kind(X))))<=>(?[X]:((brave(X)&~creative(X)))))&
(![X]:((~old(X)&~happy(X))=>(~humble(X)&~tall(X))))&
((?[X]:(~curious(X)))<=>(?[X]:((generous(X)|rich(X)))))&
((?[X]:((humble(X)|generous(X))))<=>(?[X]:((tall(X)<~>funny(X)))))&
(![X]:((funny(X)&kind(X))<=>(tall(X)&~patient(X))))&
((?[X]:((~curious(X)|~f... | ~strong(alice) | [] | null | 0 |
Everyone who is not old or generous is patient.
If someone is not patient then fred is both not old and not tall and vice versa.
Everyone who is either old or generous is both creative and brave.
Everyone who is both quiet and curious is not patient or not brave.
Everyone who is not quiet or not creative is either curi... | Lucy is quiet. | entailment | (![X]:((~old(X)|generous(X))=>patient(X)))&
((?[X]:(~patient(X)))<=>((~old(fred)&~tall(fred))))&
(![X]:((old(X)<~>generous(X))=>(creative(X)&brave(X))))&
(![X]:((quiet(X)&curious(X))=>(~patient(X)|~brave(X))))&
(![X]:((~quiet(X)|~creative(X))=>(curious(X)<~>~rich(X))))&
(((~humble(susan)&~old(susan)))<=>(~happy(mary)))... | quiet(lucy) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4713944394137224075413300
% SZS output start Proof for 4713944394137224075413300
1. ! [X0] : ((generous(X0) | ~old(X0)) => patient(X0)) [input p0]
2. ? [X0] : ~patient(X0) <=> (~tall(fred) & ~old(fred)) [input p1]
3. ! [X0] : ((old(X0) <~> generous(X0)) => (brave(X0) & creative(X0))) [inp... | 0 |
Everyone who is creative is both not creative and not humble.
Everyone who is kind or generous is patient or creative.
Everyone who is both happy and not strong is not brave and vice versa.
Everyone who is not tall or quiet is either not calm or humble and vice versa.
If someone is both old and quiet then someone is ei... | Lucy is creative. | contradiction | (![X]:(creative(X)=>(~creative(X)&~humble(X))))&
(![X]:((kind(X)|generous(X))=>(patient(X)|creative(X))))&
(![X]:((happy(X)&~strong(X))<=>~brave(X)))&
(![X]:((~tall(X)|quiet(X))<=>(~calm(X)<~>humble(X))))&
((?[X]:((old(X)&quiet(X))))<=>(?[X]:((~curious(X)<~>happy(X)))))&
(![X]:((rich(X)&wise(X))=>(funny(X)|kind(X))))&
... | creative(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 274894494641579183967230
% SZS output start Proof for 274894494641579183967230
1. ! [X0] : (creative(X0) => (~humble(X0) & ~creative(X0))) [input p0]
24. creative(lucy) [input hypothesis]
31. ! [X0] : ((~humble(X0) & ~creative(X0)) | ~creative(X0)) [ennf transformation 1]
75. ~creative(X0... | 0 |
Everyone who is either not kind or not happy is not tall or not funny. If someone is either old or patient then someone is both quiet and wise. If someone is not funny or old then someone is wise or generous and vice versa. If fred is not funny then paul is either calm or not patient and vice versa. Everyone who is eit... | John is humble. | entailment | (![X]:((~kind(X)<~>~happy(X))=>(~tall(X)|~funny(X))))&
((?[X]:((old(X)<~>patient(X))))=>(?[X]:((quiet(X)&wise(X)))))&
((?[X]:((~funny(X)|old(X))))<=>(?[X]:((wise(X)|generous(X)))))&
((~funny(fred))<=>((calm(paul)<~>~patient(paul))))&
(![X]:((~humble(X)<~>~quiet(X))<=>(patient(X)|wise(X))))&
((?[X]:((~patient(X)&~funny(... | humble(john) | [
"p0",
"p8",
"p9",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9060007231050924248691415
% SZS output start Proof for 9060007231050924248691415
1. ! [X0] : ((~kind(X0) <~> ~happy(X0)) => (~funny(X0) | ~tall(X0))) [input p0]
9. ! [X0] : ((~kind(X0) | happy(X0)) => (funny(X0) & ~wise(X0))) [input p8]
10. ! [X0] : (humble(X0) <=> (calm(X0) | creative(X0... | 0 |
If someone is not brave then someone is both curious and not tall.
Everyone who is either not tall or creative is quiet or not happy and vice versa.
If paul is either calm or wise then someone is either not wise or not generous.
If someone is either brave or tall then someone is not curious.
Everyone who is generous is... | Alice is rich. | neutral | ((?[X]:(~brave(X)))=>(?[X]:((curious(X)&~tall(X)))))&
(![X]:((~tall(X)<~>creative(X))<=>(quiet(X)|~happy(X))))&
(((calm(paul)<~>wise(paul)))=>(?[X]:((~wise(X)<~>~generous(X)))))&
((?[X]:((brave(X)<~>tall(X))))=>(?[X]:(~curious(X))))&
(![X]:(generous(X)=>(tall(X)&~rich(X))))&
((?[X]:((~kind(X)|generous(X))))=>(?[X]:(qui... | rich(alice) | [] | null | 0 |
Everyone who is not old is both kind and curious and vice versa. If someone is quiet then mary is not tall and vice versa. Everyone who is both not brave and not rich is not kind or not happy and vice versa. Everyone who is not rich is both quiet and brave and vice versa. If lucy is both calm and not tall then fred is ... | John is creative. | neutral | (![X]:(~old(X)<=>(kind(X)&curious(X))))&
((?[X]:(quiet(X)))<=>(~tall(mary)))&
(![X]:((~brave(X)&~rich(X))<=>(~kind(X)|~happy(X))))&
(![X]:(~rich(X)<=>(quiet(X)&brave(X))))&
(((calm(lucy)&~tall(lucy)))=>((calm(fred)|~curious(fred))))&
((quiet(john))<=>((~creative(john)|~patient(john))))&
((old(alice))<=>((wise(lucy)&kin... | creative(john) | [] | null | 0 |
If lucy is not creative or not humble then john is not curious and vice versa. If paul is quiet then someone is both kind and not strong. If john is both not old and not patient then lucy is either rich or not wise. If someone is not funny or not creative then someone is both not kind and not rich. Everyone who is both... | Lucy is not happy. | neutral | (((~creative(lucy)|~humble(lucy)))<=>(~curious(john)))&
((quiet(paul))=>(?[X]:((kind(X)&~strong(X)))))&
(((~old(john)&~patient(john)))=>((rich(lucy)<~>~wise(lucy))))&
((?[X]:((~funny(X)|~creative(X))))=>(?[X]:((~kind(X)&~rich(X)))))&
(![X]:((tall(X)&happy(X))<=>patient(X)))&
(![X]:((humble(X)<~>tall(X))<=>(~old(X)|~hap... | ~happy(lucy) | [] | null | 0 |
Everyone who is not strong or not brave is either tall or not quiet.
Everyone who is not wise or not funny is generous or not quiet and vice versa.
Everyone who is generous is not wise.
Everyone who is either funny or not tall is kind or curious.
Everyone who is funny or strong is brave.
Everyone who is not patient is ... | Lucy is generous. | entailment | (![X]:((~strong(X)|~brave(X))=>(tall(X)<~>~quiet(X))))&
(![X]:((~wise(X)|~funny(X))<=>(generous(X)|~quiet(X))))&
(![X]:(generous(X)=>~wise(X)))&
(![X]:((funny(X)<~>~tall(X))=>(kind(X)|curious(X))))&
(![X]:((funny(X)|strong(X))=>brave(X)))&
(![X]:(~patient(X)=>(calm(X)|~calm(X))))&
(![X]:((~strong(X)|~tall(X))<=>(rich(X... | generous(lucy) | [
"p0",
"p1",
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5439958387149197008990527
% SZS output start Proof for 5439958387149197008990527
1. ! [X0] : ((~brave(X0) | ~strong(X0)) => (tall(X0) <~> ~quiet(X0))) [input p0]
2. ! [X0] : ((~funny(X0) | ~wise(X0)) <=> (~quiet(X0) | generous(X0))) [input p1]
5. ! [X0] : ((strong(X0) | funny(X0)) => brav... | 0 |
Everyone who is both not creative and not strong is calm or quiet.
Everyone who is both not tall and not calm is funny or not happy.
If someone is both patient and not wise then someone is both not generous and tall.
Everyone who is both not curious and old is either not kind or strong.
Everyone who is either not curio... | Alice is happy. | contradiction | (![X]:((~creative(X)&~strong(X))=>(calm(X)|quiet(X))))&
(![X]:((~tall(X)&~calm(X))=>(funny(X)|~happy(X))))&
((?[X]:((patient(X)&~wise(X))))=>(?[X]:((~generous(X)&tall(X)))))&
(![X]:((~curious(X)&old(X))=>(~kind(X)<~>strong(X))))&
(![X]:((~curious(X)<~>calm(X))<=>(~old(X)|~strong(X))))&
((?[X]:(humble(X)))<=>(~happy(ali... | happy(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3333754637498234281775790
% SZS output start Proof for 3333754637498234281775790
13. ! [X0] : ((~strong(X0) | strong(X0)) <=> ~happy(X0)) [input p12]
25. happy(alice) [input hypothesis]
68. ! [X0] : (((~strong(X0) | strong(X0)) | happy(X0)) & (~happy(X0) | (strong(X0) & ~strong(X0)))) [nn... | 0 |
Everyone who is both quiet and not humble is strong or brave and vice versa.
Everyone who is either tall or kind is generous and vice versa.
If john is kind then lucy is not old and vice versa.
If mary is both not curious and not patient then susan is not calm.
If someone is either generous or calm then someone is eith... | Mary is happy. | neutral | (![X]:((quiet(X)&~humble(X))<=>(strong(X)|brave(X))))&
(![X]:((tall(X)<~>kind(X))<=>generous(X)))&
((kind(john))<=>(~old(lucy)))&
(((~curious(mary)&~patient(mary)))=>(~calm(susan)))&
((?[X]:((generous(X)<~>calm(X))))=>(?[X]:((~old(X)<~>~wise(X)))))&
((?[X]:((patient(X)&~tall(X))))<=>(?[X]:(~humble(X))))&
(![X]:((curiou... | happy(mary) | [] | null | 0 |
Everyone who is not quiet is both not patient and not curious. Everyone who is either humble or generous is not funny and vice versa. Everyone who is not patient is both kind and rich and vice versa. Everyone who is either old or not happy is generous. If someone is both not quiet and not old then fred is wise or not p... | Paul is not humble. | contradiction | (![X]:(~quiet(X)=>(~patient(X)&~curious(X))))&
(![X]:((humble(X)<~>generous(X))<=>~funny(X)))&
(![X]:(~patient(X)<=>(kind(X)&rich(X))))&
(![X]:((old(X)<~>~happy(X))=>generous(X)))&
((?[X]:((~quiet(X)&~old(X))))<=>((wise(fred)|~patient(fred))))&
(![X]:((~old(X)&~curious(X))<=>~humble(X)))&
((?[X]:((wise(X)<~>~rich(X))))... | ~humble(paul) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3271683189871589767491699
% SZS output start Proof for 3271683189871589767491699
6. ! [X0] : ((~curious(X0) & ~old(X0)) <=> ~humble(X0)) [input p5]
9. ! [X0] : ((~calm(X0) & humble(X0)) <=> ~curious(X0)) [input p8]
23. ~humble(paul) [input hypothesis]
43. ! [X0] : (((~curious(X0) & ~old(X... | 0 |
Everyone who is either wise or generous is both not wise and wise and vice versa.
If fred is either not wise or generous then alice is either not quiet or calm and vice versa.
Everyone who is either not kind or calm is both calm and happy and vice versa.
Everyone who is either not kind or patient is both not happy and ... | Alice is rich. | contradiction | (![X]:((wise(X)<~>generous(X))<=>(~wise(X)&wise(X))))&
(((~wise(fred)<~>generous(fred)))<=>((~quiet(alice)<~>calm(alice))))&
(![X]:((~kind(X)<~>calm(X))<=>(calm(X)&happy(X))))&
(![X]:((~kind(X)<~>patient(X))=>(~happy(X)&generous(X))))&
((?[X]:(~old(X)))<=>((~generous(lucy)|kind(lucy))))&
(![X]:((tall(X)<~>old(X))=>(~ge... | rich(alice) | [
"p2",
"p8",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5926379912042018237923718
% SZS output start Proof for 5926379912042018237923718
3. ! [X0] : ((~kind(X0) <~> calm(X0)) <=> (happy(X0) & calm(X0))) [input p2]
9. ! [X0] : ((wise(X0) | funny(X0)) <=> (~calm(X0) & strong(X0))) [input p8]
11. ! [X0] : ((humble(X0) & ~funny(X0)) <=> (rich(X0) ... | 0 |
If john is either old or generous then alice is curious.
Everyone who is either not kind or humble is both not quiet and quiet and vice versa.
Everyone who is not calm is kind or happy.
If lucy is not old then someone is either kind or happy and vice versa.
Everyone who is not creative is not quiet or strong.
Everyone ... | Alice is not tall. | neutral | (((old(john)<~>generous(john)))=>(curious(alice)))&
(![X]:((~kind(X)<~>humble(X))<=>(~quiet(X)&quiet(X))))&
(![X]:(~calm(X)=>(kind(X)|happy(X))))&
((~old(lucy))<=>(?[X]:((kind(X)<~>happy(X)))))&
(![X]:(~creative(X)=>(~quiet(X)|strong(X))))&
(![X]:(quiet(X)=>(~funny(X)<~>~old(X))))&
((~curious(mary))<=>(?[X]:(~strong(X)... | ~tall(alice) | [] | null | 0 |
Everyone who is brave is either not wise or not kind and vice versa. Everyone who is either not wise or not curious is either not brave or funny and vice versa. If susan is either not generous or strong then someone is either patient or not funny and vice versa. If someone is not curious or brave then john is either no... | Susan is generous. | contradiction | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(~brave(X)<~>funny(X))))&
(((~generous(susan)<~>strong(susan)))<=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:((~curious(X)|brave(X))))=>((~happy(john)<~>~generous(john))))&
(((~old(john)|generous(john)))=>((patient(paul)|old(paul))))&
(![X]:(g... | generous(susan) | [
"p2",
"p5",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8302592813681074267373847
% SZS output start Proof for 8302592813681074267373847
3. (~generous(susan) <~> strong(susan)) <=> ? [X0] : (patient(X0) <~> ~funny(X0)) [input p2]
6. ! [X0] : (generous(X0) => (~patient(X0) & strong(X0))) [input p5]
10. kind(susan) <=> ? [X0] : (patient(X0) & fu... | 0 |
If someone is not generous then lucy is humble and vice versa. Everyone who is not humble or creative is creative or wise and vice versa. Everyone who is either old or strong is both not quiet and not curious and vice versa. If alice is creative or tall then fred is both not creative and happy and vice versa. If mary i... | Fred is not strong. | neutral | ((?[X]:(~generous(X)))<=>(humble(lucy)))&
(![X]:((~humble(X)|creative(X))<=>(creative(X)|wise(X))))&
(![X]:((old(X)<~>strong(X))<=>(~quiet(X)&~curious(X))))&
(((creative(alice)|tall(alice)))<=>((~creative(fred)&happy(fred))))&
(((creative(mary)<~>old(mary)))=>(?[X]:(patient(X))))&
(![X]:((~patient(X)|~funny(X))=>(gener... | ~strong(fred) | [] | null | 0 |
If paul is both quiet and not curious then fred is patient or not curious.
Everyone who is brave or not rich is both kind and happy and vice versa.
Everyone who is either calm or rich is both brave and not patient.
If someone is old then lucy is not patient or not tall.
Everyone who is not brave or not tall is either o... | Alice is patient. | entailment | (((quiet(paul)&~curious(paul)))=>((patient(fred)|~curious(fred))))&
(![X]:((brave(X)|~rich(X))<=>(kind(X)&happy(X))))&
(![X]:((calm(X)<~>rich(X))=>(brave(X)&~patient(X))))&
((?[X]:(old(X)))=>((~patient(lucy)|~tall(lucy))))&
(![X]:((~brave(X)|~tall(X))<=>(old(X)<~>~calm(X))))&
((?[X]:((calm(X)|~calm(X))))=>((~tall(john)... | patient(alice) | [
"p1",
"p4",
"p8",
"p11",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9069928972017198759957735
% SZS output start Proof for 9069928972017198759957735
2. ! [X0] : ((~rich(X0) | brave(X0)) <=> (happy(X0) & kind(X0))) [input p1]
5. ! [X0] : ((~tall(X0) | ~brave(X0)) <=> (old(X0) <~> ~calm(X0))) [input p4]
9. ! [X0] : ((happy(X0) <~> calm(X0)) <=> ~humble(X0))... | 0 |
If alice is either happy or creative then someone is strong and vice versa.
If mary is not humble or happy then someone is not curious and vice versa.
If someone is either not kind or creative then john is either brave or wise.
If someone is either calm or not strong then mary is quiet.
Everyone who is both not wise an... | Paul is curious. | neutral | (((happy(alice)<~>creative(alice)))<=>(?[X]:(strong(X))))&
(((~humble(mary)|happy(mary)))<=>(?[X]:(~curious(X))))&
((?[X]:((~kind(X)<~>creative(X))))=>((brave(john)<~>wise(john))))&
((?[X]:((calm(X)<~>~strong(X))))=>(quiet(mary)))&
(![X]:((~wise(X)&~calm(X))<=>(~old(X)|patient(X))))&
(![X]:((rich(X)&~brave(X))<=>patien... | curious(paul) | [] | null | 0 |
Everyone who is either not strong or brave is brave and vice versa.
If susan is either wise or humble then mary is both strong and brave.
Everyone who is humble is either tall or brave.
Everyone who is not quiet or creative is quiet or not quiet and vice versa.
Everyone who is both creative and patient is both not brav... | Alice is not calm. | neutral | (![X]:((~strong(X)<~>brave(X))<=>brave(X)))&
(((wise(susan)<~>humble(susan)))=>((strong(mary)&brave(mary))))&
(![X]:(humble(X)=>(tall(X)<~>brave(X))))&
(![X]:((~quiet(X)|creative(X))<=>(quiet(X)|~quiet(X))))&
(![X]:((creative(X)&patient(X))<=>(~brave(X)&rich(X))))&
(![X]:((wise(X)&~brave(X))=>(~brave(X)&calm(X))))&
((?... | ~calm(alice) | [] | null | 0 |
If someone is not patient or creative then someone is humble.
If alice is either creative or not creative then someone is both not strong and quiet.
Everyone who is both not funny and not calm is calm and vice versa.
If someone is both rich and not happy then susan is happy or not humble and vice versa.
If john is tall... | Susan is creative. | entailment | ((?[X]:((~patient(X)|creative(X))))=>(?[X]:(humble(X))))&
(((creative(alice)<~>~creative(alice)))=>(?[X]:((~strong(X)&quiet(X)))))&
(![X]:((~funny(X)&~calm(X))<=>calm(X)))&
((?[X]:((rich(X)&~happy(X))))<=>((happy(susan)|~humble(susan))))&
(((tall(john)|strong(john)))=>((generous(mary)<~>~tall(mary))))&
((?[X]:((~old(X)... | creative(susan) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6913803163097191144145361
% SZS output start Proof for 6913803163097191144145361
3. ! [X0] : ((~calm(X0) & ~funny(X0)) <=> calm(X0)) [input p2]
13. ! [X0] : ((~calm(X0) | ~old(X0)) <=> creative(X0)) [input p12]
24. ~creative(susan) [input hypothesis]
45. ! [X0] : (((~calm(X0) & ~funny(X0)... | 0 |
If alice is humble or creative then mary is either kind or generous and vice versa. Everyone who is not wise is brave and vice versa. Everyone who is generous is both not old and wise. Everyone who is not tall or rich is either not happy or not generous. If paul is not curious then someone is either not humble or creat... | Alice is tall. | contradiction | (((humble(alice)|creative(alice)))<=>((kind(mary)<~>generous(mary))))&
(![X]:(~wise(X)<=>brave(X)))&
(![X]:(generous(X)=>(~old(X)&wise(X))))&
(![X]:((~tall(X)|rich(X))=>(~happy(X)<~>~generous(X))))&
((~curious(paul))<=>(?[X]:((~humble(X)<~>creative(X)))))&
(((~curious(alice)|~happy(alice)))<=>(?[X]:((strong(X)|~strong(... | tall(alice) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4827554703170052628575372
% SZS output start Proof for 4827554703170052628575372
15. (funny(alice) & ~tall(alice)) <=> ? [X0] : ~funny(X0) [input p14]
20. ~funny(susan) [input p19]
25. tall(alice) [input hypothesis]
57. ((funny(alice) & ~tall(alice)) | ! [X0] : funny(X0)) & (? [X0] : ~fun... | 0 |
Everyone who is either happy or not creative is not brave and vice versa.
Everyone who is not humble is both old and not patient.
If someone is both not generous and quiet then john is both not brave and not patient.
Everyone who is not rich is either not curious or wise.
If someone is either calm or rich then susan is... | John is not curious. | entailment | (![X]:((happy(X)<~>~creative(X))<=>~brave(X)))&
(![X]:(~humble(X)=>(old(X)&~patient(X))))&
((?[X]:((~generous(X)&quiet(X))))=>((~brave(john)&~patient(john))))&
(![X]:(~rich(X)=>(~curious(X)<~>wise(X))))&
((?[X]:((calm(X)<~>rich(X))))<=>((~calm(susan)&happy(susan))))&
(((~patient(fred)&rich(fred)))=>(?[X]:((humble(X)<~>... | ~curious(john) | [
"p1",
"p7",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 83343018922641092379872
% SZS output start Proof for 83343018922641092379872
2. ! [X0] : (~humble(X0) => (~patient(X0) & old(X0))) [input p1]
8. ! [X0] : (old(X0) <=> (generous(X0) & patient(X0))) [input p7]
16. ! [X0] : ((~curious(X0) | ~old(X0)) <=> humble(X0)) [input p15]
21. ~curious(... | 0 |
Everyone who is calm or not quiet is kind or rich and vice versa.
Everyone who is generous or not funny is either creative or not rich.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who is ... | Lucy is not quiet. | contradiction | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|rich(X))))&
(![X]:((generous(X)|~funny(X))=>(creative(X)<~>~rich(X))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|humb... | ~quiet(lucy) | [
"p1",
"p4",
"p8",
"p9",
"p11",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 722769284860952525791090
% SZS output start Proof for 722769284860952525791090
2. ! [X0] : ((~funny(X0) | generous(X0)) => (creative(X0) <~> ~rich(X0))) [input p1]
5. ! [X0] : ((kind(X0) | ~rich(X0)) => strong(X0)) [input p4]
9. ! [X0] : ((patient(X0) | ~quiet(X0)) => ~rich(X0)) [input p8... | 0 |
If someone is brave or curious then someone is funny and vice versa.
Everyone who is not calm or humble is both creative and old.
If alice is either not kind or funny then john is either funny or old and vice versa.
Everyone who is kind or not quiet is not rich or not kind and vice versa.
Everyone who is either generou... | John is not quiet. | entailment | ((?[X]:((brave(X)|curious(X))))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)|humble(X))=>(creative(X)&old(X))))&
(((~kind(alice)<~>funny(alice)))<=>((funny(john)<~>old(john))))&
(![X]:((kind(X)|~quiet(X))<=>(~rich(X)|~kind(X))))&
(![X]:((generous(X)<~>~humble(X))=>(kind(X)<~>quiet(X))))&
((?[X]:((~humble(X)&~calm(X))))<=>(?[... | ~quiet(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2033654566557427803511687
% SZS output start Proof for 2033654566557427803511687
14. ! [X0] : ((old(X0) & ~old(X0)) <=> quiet(X0)) [input p13]
24. quiet(john) [input hypothesis]
71. ! [X0] : (((old(X0) & ~old(X0)) | ~quiet(X0)) & (quiet(X0) | (~old(X0) | old(X0)))) [nnf transformation 14]... | 0 |
If paul is either rich or not curious then fred is not curious or not creative.
Everyone who is not tall or brave is not quiet and vice versa.
If someone is old or quiet then fred is rich or curious and vice versa.
Everyone who is curious is either rich or humble and vice versa.
Everyone who is both brave and tall is n... | Fred is not wise. | neutral | (((rich(paul)<~>~curious(paul)))=>((~curious(fred)|~creative(fred))))&
(![X]:((~tall(X)|brave(X))<=>~quiet(X)))&
((?[X]:((old(X)|quiet(X))))<=>((rich(fred)|curious(fred))))&
(![X]:(curious(X)<=>(rich(X)<~>humble(X))))&
(![X]:((brave(X)&tall(X))=>(~tall(X)|~curious(X))))&
(![X]:(humble(X)<=>(old(X)<~>~patient(X))))&
(![... | ~wise(fred) | [] | null | 0 |
If susan is funny or not tall then someone is not humble or quiet. Everyone who is not kind is patient. If lucy is not patient then someone is either not curious or tall. If alice is humble or old then someone is patient and vice versa. Everyone who is not humble is not quiet. Everyone who is both tall and kind is not ... | Alice is not creative. | neutral | (((funny(susan)|~tall(susan)))=>(?[X]:((~humble(X)|quiet(X)))))&
(![X]:(~kind(X)=>patient(X)))&
((~patient(lucy))=>(?[X]:((~curious(X)<~>tall(X)))))&
(((humble(alice)|old(alice)))<=>(?[X]:(patient(X))))&
(![X]:(~humble(X)=>~quiet(X)))&
(![X]:((tall(X)&kind(X))=>(~calm(X)|~rich(X))))&
(![X]:((wise(X)<~>~tall(X))<=>~old(... | ~creative(alice) | [] | null | 0 |
If paul is both humble and rich then someone is both creative and patient and vice versa. If mary is either not brave or not quiet then fred is not brave. Everyone who is both not happy and brave is rich or old and vice versa. Everyone who is not calm is not quiet or kind and vice versa. If someone is not generous or n... | John is not patient. | neutral | (((humble(paul)&rich(paul)))<=>(?[X]:((creative(X)&patient(X)))))&
(((~brave(mary)<~>~quiet(mary)))=>(~brave(fred)))&
(![X]:((~happy(X)&brave(X))<=>(rich(X)|old(X))))&
(![X]:(~calm(X)<=>(~quiet(X)|kind(X))))&
((?[X]:((~generous(X)|~old(X))))=>((tall(john)<~>~patient(john))))&
(![X]:((humble(X)<~>patient(X))=>(~funny(X)... | ~patient(john) | [] | null | 0 |
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