premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not patient or not brave is generous.
If alice is kind then john is not humble or not patient and vice versa.
Everyone who is either calm or happy is brave.
If someone is not old then someone is both not kind and not strong and vice versa.
Everyone who is not funny is funny or not humble and vice versa.... | Alice is not patient. | entailment | (![X]:((~patient(X)|~brave(X))=>generous(X)))&
((kind(alice))<=>((~humble(john)|~patient(john))))&
(![X]:((calm(X)<~>happy(X))=>brave(X)))&
((?[X]:(~old(X)))<=>(?[X]:((~kind(X)&~strong(X)))))&
(![X]:(~funny(X)<=>(funny(X)|~humble(X))))&
(((kind(john)|~humble(john)))<=>((funny(paul)<~>~rich(paul))))&
(![X]:((wise(X)<~>~... | ~patient(alice) | [
"p0",
"p1",
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 758898259755654642728530
% SZS output start Proof for 758898259755654642728530
1. ! [X0] : ((~brave(X0) | ~patient(X0)) => generous(X0)) [input p0]
2. kind(alice) <=> (~patient(john) | ~humble(john)) [input p1]
10. ! [X0] : ((strong(X0) <~> generous(X0)) <=> (kind(X0) <~> ~brave(X0))) [in... | 0 |
Everyone who is tall or humble is not tall.
Everyone who is both not strong and not humble is old or rich and vice versa.
Everyone who is not wise is strong and vice versa.
Everyone who is old or calm is not brave and vice versa.
If someone is both rich and kind then someone is both tall and not happy.
Everyone who is ... | Alice is not humble. | contradiction | (![X]:((tall(X)|humble(X))=>~tall(X)))&
(![X]:((~strong(X)&~humble(X))<=>(old(X)|rich(X))))&
(![X]:(~wise(X)<=>strong(X)))&
(![X]:((old(X)|calm(X))<=>~brave(X)))&
((?[X]:((rich(X)&kind(X))))=>(?[X]:((tall(X)&~happy(X)))))&
(![X]:(~tall(X)<=>(~strong(X)&~tall(X))))&
(![X]:((creative(X)<~>strong(X))<=>(happy(X)<~>~creati... | ~humble(alice) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6921305653612704870898830
% SZS output start Proof for 6921305653612704870898830
1. ! [X0] : ((humble(X0) | tall(X0)) => ~tall(X0)) [input p0]
2. ! [X0] : ((~humble(X0) & ~strong(X0)) <=> (rich(X0) | old(X0))) [input p1]
3. ! [X0] : (~wise(X0) <=> strong(X0)) [input p2]
4. ! [X0] : ((calm... | 0 |
If susan is both not happy and curious then paul is either calm or happy.
Everyone who is patient is not tall and vice versa.
Everyone who is both not brave and not happy is not patient and vice versa.
Everyone who is tall is both not strong and not curious and vice versa.
If fred is tall or happy then someone is both ... | Alice is not generous. | contradiction | (((~happy(susan)&curious(susan)))=>((calm(paul)<~>happy(paul))))&
(![X]:(patient(X)<=>~tall(X)))&
(![X]:((~brave(X)&~happy(X))<=>~patient(X)))&
(![X]:(tall(X)<=>(~strong(X)&~curious(X))))&
(((tall(fred)|happy(fred)))<=>(?[X]:((~creative(X)&~quiet(X)))))&
(![X]:((~happy(X)|~calm(X))<=>(generous(X)|~calm(X))))&
((?[X]:((... | ~generous(alice) | [
"p1",
"p3",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 94062352576844373614203
% SZS output start Proof for 94062352576844373614203
2. ! [X0] : (patient(X0) <=> ~tall(X0)) [input p1]
4. ! [X0] : (tall(X0) <=> (~curious(X0) & ~strong(X0))) [input p3]
10. ! [X0] : ((~brave(X0) <~> ~patient(X0)) <=> tall(X0)) [input p9]
11. ? [X0] : ~generous(X0... | 0 |
Everyone who is both patient and funny is not strong or not creative and vice versa.
If fred is not rich or wise then someone is not strong or rich and vice versa.
If paul is both not curious and not strong then susan is both curious and not humble and vice versa.
If fred is rich or tall then someone is either humble o... | Fred is tall. | entailment | (![X]:((patient(X)&funny(X))<=>(~strong(X)|~creative(X))))&
(((~rich(fred)|wise(fred)))<=>(?[X]:((~strong(X)|rich(X)))))&
(((~curious(paul)&~strong(paul)))<=>((curious(susan)&~humble(susan))))&
(((rich(fred)|tall(fred)))=>(?[X]:((humble(X)<~>kind(X)))))&
((?[X]:(happy(X)))<=>((~wise(alice)&~funny(alice))))&
(((~happy(p... | tall(fred) | [
"p1",
"p9",
"p11",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4899787164814687271224439
% SZS output start Proof for 4899787164814687271224439
2. (wise(fred) | ~rich(fred)) <=> ? [X0] : (rich(X0) | ~strong(X0)) [input p1]
10. ! [X0] : (tall(X0) <=> ~rich(X0)) [input p9]
12. ! [X0] : ((strong(X0) & ~wise(X0)) <=> (tall(X0) <~> happy(X0))) [input p11]... | 0 |
Everyone who is both not old and patient is old or brave and vice versa.
If fred is not curious or creative then mary is both brave and not wise and vice versa.
If someone is either creative or calm then someone is both humble and calm.
Everyone who is creative or not tall is not funny or not brave.
If someone is stron... | Susan is tall. | entailment | (![X]:((~old(X)&patient(X))<=>(old(X)|brave(X))))&
(((~curious(fred)|creative(fred)))<=>((brave(mary)&~wise(mary))))&
((?[X]:((creative(X)<~>calm(X))))=>(?[X]:((humble(X)&calm(X)))))&
(![X]:((creative(X)|~tall(X))=>(~funny(X)|~brave(X))))&
((?[X]:((strong(X)|funny(X))))<=>(?[X]:((wise(X)<~>~funny(X)))))&
(![X]:((~humbl... | tall(susan) | [
"p0",
"p1",
"p2",
"p8",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7331466874939533917969087
% SZS output start Proof for 7331466874939533917969087
1. ! [X0] : ((patient(X0) & ~old(X0)) <=> (brave(X0) | old(X0))) [input p0]
2. (creative(fred) | ~curious(fred)) <=> (~wise(mary) & brave(mary)) [input p1]
3. ? [X0] : (creative(X0) <~> calm(X0)) => ? [X0] : ... | 0 |
Everyone who is not strong is not wise. Everyone who is both strong and not creative is not humble. Everyone who is both curious and not funny is curious. Everyone who is either not patient or wise is both not rich and humble. If someone is not rich then someone is both curious and old. Everyone who is both not old and... | Mary is not curious. | entailment | (![X]:(~strong(X)=>~wise(X)))&
(![X]:((strong(X)&~creative(X))=>~humble(X)))&
(![X]:((curious(X)&~funny(X))=>curious(X)))&
(![X]:((~patient(X)<~>wise(X))=>(~rich(X)&humble(X))))&
((?[X]:(~rich(X)))=>(?[X]:((curious(X)&old(X)))))&
(![X]:((~old(X)&funny(X))=>(~strong(X)|patient(X))))&
(((curious(lucy)|~creative(lucy)))<=... | ~curious(mary) | [
"p0",
"p3",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4440317749373806524215671
% SZS output start Proof for 4440317749373806524215671
1. ! [X0] : (~strong(X0) => ~wise(X0)) [input p0]
4. ! [X0] : ((~patient(X0) <~> wise(X0)) => (humble(X0) & ~rich(X0))) [input p3]
11. ! [X0] : ((~calm(X0) | humble(X0)) => (~curious(X0) <~> ~strong(X0))) [in... | 0 |
Everyone who is both calm and not humble is both not creative and old.
Everyone who is either strong or quiet is tall.
Everyone who is either not humble or not quiet is either tall or not patient.
Everyone who is not rich or tall is both not funny and not creative.
Everyone who is patient or not tall is not humble or r... | Alice is strong. | neutral | (![X]:((calm(X)&~humble(X))=>(~creative(X)&old(X))))&
(![X]:((strong(X)<~>quiet(X))=>tall(X)))&
(![X]:((~humble(X)<~>~quiet(X))=>(tall(X)<~>~patient(X))))&
(![X]:((~rich(X)|tall(X))=>(~funny(X)&~creative(X))))&
(![X]:((patient(X)|~tall(X))=>(~humble(X)|rich(X))))&
(![X]:(~calm(X)=>(tall(X)|generous(X))))&
(![X]:((~gene... | strong(alice) | [] | null | 0 |
Everyone who is wise is either not strong or tall and vice versa.
If mary is not funny or calm then lucy is humble or wise and vice versa.
Everyone who is quiet is generous or not quiet and vice versa.
If someone is not creative or not curious then fred is either not rich or brave and vice versa.
Everyone who is old is... | Lucy is patient. | contradiction | (![X]:(wise(X)<=>(~strong(X)<~>tall(X))))&
(((~funny(mary)|calm(mary)))<=>((humble(lucy)|wise(lucy))))&
(![X]:(quiet(X)<=>(generous(X)|~quiet(X))))&
((?[X]:((~creative(X)|~curious(X))))<=>((~rich(fred)<~>brave(fred))))&
(![X]:(old(X)<=>(~generous(X)|kind(X))))&
((?[X]:((funny(X)<~>rich(X))))<=>(~humble(lucy)))&
((?[X]:... | patient(lucy) | [
"p0",
"p2",
"p4",
"p9",
"p10",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1449778181218837327738387
% SZS output start Proof for 1449778181218837327738387
1. ! [X0] : (wise(X0) <=> (~strong(X0) <~> tall(X0))) [input p0]
3. ! [X0] : (quiet(X0) <=> (~quiet(X0) | generous(X0))) [input p2]
5. ! [X0] : (old(X0) <=> (kind(X0) | ~generous(X0))) [input p4]
10. ! [X0] :... | 0 |
Everyone who is either not patient or kind is either not generous or quiet.
If alice is not happy then someone is either curious or not brave and vice versa.
If someone is both old and not kind then someone is not curious or generous and vice versa.
If someone is either creative or quiet then someone is not old and vic... | Alice is funny. | contradiction | (![X]:((~patient(X)<~>kind(X))=>(~generous(X)<~>quiet(X))))&
((~happy(alice))<=>(?[X]:((curious(X)<~>~brave(X)))))&
((?[X]:((old(X)&~kind(X))))<=>(?[X]:((~curious(X)|generous(X)))))&
((?[X]:((creative(X)<~>quiet(X))))<=>(?[X]:(~old(X))))&
(![X]:(~wise(X)<=>(quiet(X)|~creative(X))))&
(![X]:(~patient(X)=>(~calm(X)<~>~qui... | funny(alice) | [
"p4",
"p7",
"p8",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 111667087516487251147261
% SZS output start Proof for 111667087516487251147261
5. ! [X0] : (~wise(X0) <=> (~creative(X0) | quiet(X0))) [input p4]
8. ! [X0] : (wise(X0) <=> (wise(X0) <~> ~wise(X0))) [input p7]
9. ! [X0] : (curious(X0) <=> (~happy(X0) | ~curious(X0))) [input p8]
12. ! [X0] ... | 0 |
Everyone who is happy is old and vice versa.
Everyone who is not brave is funny and vice versa.
If susan is both humble and patient then someone is not rich.
Everyone who is humble or not creative is both not brave and tall and vice versa.
If someone is tall then mary is either calm or strong.
Everyone who is curious i... | Fred is creative. | contradiction | (![X]:(happy(X)<=>old(X)))&
(![X]:(~brave(X)<=>funny(X)))&
(((humble(susan)&patient(susan)))=>(?[X]:(~rich(X))))&
(![X]:((humble(X)|~creative(X))<=>(~brave(X)&tall(X))))&
((?[X]:(tall(X)))=>((calm(mary)<~>strong(mary))))&
(![X]:(curious(X)<=>happy(X)))&
(![X]:((brave(X)&~kind(X))<=>quiet(X)))&
(![X]:((kind(X)|old(X))<=... | creative(fred) | [
"p3",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4303848426313535999693777
% SZS output start Proof for 4303848426313535999693777
4. ! [X0] : ((~creative(X0) | humble(X0)) <=> (tall(X0) & ~brave(X0))) [input p3]
11. ! [X0] : ((wise(X0) | humble(X0)) => (~creative(X0) & ~generous(X0))) [input p10]
12. ! [X0] : (humble(X0) <=> (brave(X0) ... | 0 |
If paul is not funny then mary is both not patient and not calm. Everyone who is either kind or not generous is both funny and calm and vice versa. Everyone who is either not strong or not brave is not kind. If someone is both not humble and patient then someone is both not patient and not strong. Everyone who is not b... | Paul is rich. | contradiction | ((~funny(paul))=>((~patient(mary)&~calm(mary))))&
(![X]:((kind(X)<~>~generous(X))<=>(funny(X)&calm(X))))&
(![X]:((~strong(X)<~>~brave(X))=>~kind(X)))&
((?[X]:((~humble(X)&patient(X))))=>(?[X]:((~patient(X)&~strong(X)))))&
(![X]:(~brave(X)<=>~calm(X)))&
(![X]:((~funny(X)&~quiet(X))=>~calm(X)))&
(![X]:((wise(X)<~>patient... | rich(paul) | [
"p4",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1908466255772095844858481
% SZS output start Proof for 1908466255772095844858481
5. ! [X0] : (~brave(X0) <=> ~calm(X0)) [input p4]
11. (~brave(paul) & ~generous(paul)) <=> ? [X0] : (~curious(X0) | ~patient(X0)) [input p10]
12. ! [X0] : ((calm(X0) & ~patient(X0)) <=> (~old(X0) | ~calm(X0))... | 0 |
If fred is both old and not old then someone is brave and vice versa.
Everyone who is either wise or not old is patient or humble and vice versa.
If john is not humble or patient then paul is not happy and vice versa.
If susan is not strong or not humble then lucy is both strong and not curious.
Everyone who is both qu... | Paul is not brave. | entailment | (((old(fred)&~old(fred)))<=>(?[X]:(brave(X))))&
(![X]:((wise(X)<~>~old(X))<=>(patient(X)|humble(X))))&
(((~humble(john)|patient(john)))<=>(~happy(paul)))&
(((~strong(susan)|~humble(susan)))=>((strong(lucy)&~curious(lucy))))&
(![X]:((quiet(X)&kind(X))<=>~funny(X)))&
((?[X]:((tall(X)<~>~humble(X))))<=>((quiet(paul)<~>fun... | ~brave(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7623309378734731922467167
% SZS output start Proof for 7623309378734731922467167
1. (~old(fred) & old(fred)) <=> ? [X0] : brave(X0) [input p0]
24. brave(paul) [input hypothesis]
37. ((~old(fred) & old(fred)) | ! [X0] : ~brave(X0)) & (? [X0] : brave(X0) | (old(fred) | ~old(fred))) [nnf tra... | 0 |
Everyone who is creative or not rich is either not strong or generous and vice versa.
Everyone who is not curious is patient and vice versa.
If someone is funny then alice is both curious and rich and vice versa.
Everyone who is both generous and brave is patient or kind and vice versa.
If someone is both not quiet and... | Alice is not kind. | entailment | (![X]:((creative(X)|~rich(X))<=>(~strong(X)<~>generous(X))))&
(![X]:(~curious(X)<=>patient(X)))&
((?[X]:(funny(X)))<=>((curious(alice)&rich(alice))))&
(![X]:((generous(X)&brave(X))<=>(patient(X)|kind(X))))&
((?[X]:((~quiet(X)&~curious(X))))<=>((~generous(alice)&~curious(alice))))&
((?[X]:((~creative(X)<~>generous(X))))... | ~kind(alice) | [
"p3",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7749478499687727376804424
% SZS output start Proof for 7749478499687727376804424
4. ! [X0] : ((brave(X0) & generous(X0)) <=> (kind(X0) | patient(X0))) [input p3]
8. ! [X0] : ((~quiet(X0) & ~brave(X0)) <=> ~old(X0)) [input p7]
14. ? [X0] : (brave(X0) | ~tall(X0)) <=> ? [X0] : (patient(X0) ... | 0 |
Everyone who is both strong and not wise is happy.
Everyone who is not kind or creative is not calm or strong.
Everyone who is not happy is not old and vice versa.
Everyone who is either strong or curious is both creative and not brave and vice versa.
Everyone who is not generous or not kind is both quiet and not rich.... | Fred is not patient. | contradiction | (![X]:((strong(X)&~wise(X))=>happy(X)))&
(![X]:((~kind(X)|creative(X))=>(~calm(X)|strong(X))))&
(![X]:(~happy(X)<=>~old(X)))&
(![X]:((strong(X)<~>curious(X))<=>(creative(X)&~brave(X))))&
(![X]:((~generous(X)|~kind(X))=>(quiet(X)&~rich(X))))&
(![X]:((tall(X)&~old(X))=>(calm(X)&generous(X))))&
((?[X]:((~funny(X)<~>curiou... | ~patient(fred) | [
"p4",
"p11",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5482268050268863815558560
% SZS output start Proof for 5482268050268863815558560
5. ! [X0] : ((~kind(X0) | ~generous(X0)) => (~rich(X0) & quiet(X0))) [input p4]
12. ! [X0] : (happy(X0) <=> (brave(X0) | calm(X0))) [input p11]
13. ! [X0] : ((~funny(X0) | funny(X0)) <=> (~calm(X0) <~> ~patie... | 0 |
If someone is creative or kind then john is generous.
Everyone who is both generous and not strong is both calm and not kind and vice versa.
If alice is either not happy or not rich then john is not old or patient and vice versa.
If mary is both not brave and not rich then someone is both generous and not patient.
Ever... | John is not generous. | contradiction | ((?[X]:((creative(X)|kind(X))))=>(generous(john)))&
(![X]:((generous(X)&~strong(X))<=>(calm(X)&~kind(X))))&
(((~happy(alice)<~>~rich(alice)))<=>((~old(john)|patient(john))))&
(((~brave(mary)&~rich(mary)))=>(?[X]:((generous(X)&~patient(X)))))&
(![X]:(brave(X)<=>(humble(X)&~curious(X))))&
((?[X]:((humble(X)|patient(X))))... | ~generous(john) | [
"p0",
"p4",
"p6",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 566940975392422132072873
% SZS output start Proof for 566940975392422132072873
1. ? [X0] : (kind(X0) | creative(X0)) => generous(john) [input p0]
5. ! [X0] : (brave(X0) <=> (~curious(X0) & humble(X0))) [input p4]
7. ? [X0] : (humble(X0) | ~curious(X0)) <=> ? [X0] : (~happy(X0) & kind(X0))... | 0 |
Everyone who is both strong and not old is not tall or rich.
Everyone who is both kind and not rich is not strong.
Everyone who is not patient or tall is either happy or not curious.
Everyone who is not calm or old is either patient or generous.
Everyone who is either not rich or not quiet is either generous or not qui... | Susan is curious. | contradiction | (![X]:((strong(X)&~old(X))=>(~tall(X)|rich(X))))&
(![X]:((kind(X)&~rich(X))=>~strong(X)))&
(![X]:((~patient(X)|tall(X))=>(happy(X)<~>~curious(X))))&
(![X]:((~calm(X)|old(X))=>(patient(X)<~>generous(X))))&
(![X]:((~rich(X)<~>~quiet(X))<=>(generous(X)<~>~quiet(X))))&
(((~tall(lucy)|~humble(lucy)))=>(?[X]:(humble(X))))&
(... | curious(susan) | [
"p4",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2118312272681135154157695
% SZS output start Proof for 2118312272681135154157695
5. ! [X0] : ((~rich(X0) <~> ~quiet(X0)) <=> (generous(X0) <~> ~quiet(X0))) [input p4]
13. ! [X0] : (happy(X0) <=> ~generous(X0)) [input p12]
16. ! [X0] : ((rich(X0) | ~kind(X0)) => (~rich(X0) <~> ~curious(X0)... | 0 |
If john is not calm then mary is not kind or happy.
Everyone who is not funny or not wise is both funny and not humble.
If someone is humble or not tall then someone is either not tall or not patient.
Everyone who is both not strong and not tall is either not creative or funny and vice versa.
If fred is both tall and h... | Mary is rich. | entailment | ((~calm(john))=>((~kind(mary)|happy(mary))))&
(![X]:((~funny(X)|~wise(X))=>(funny(X)&~humble(X))))&
((?[X]:((humble(X)|~tall(X))))=>(?[X]:((~tall(X)<~>~patient(X)))))&
(![X]:((~strong(X)&~tall(X))<=>(~creative(X)<~>funny(X))))&
(((tall(fred)&humble(fred)))=>(?[X]:((kind(X)<~>~strong(X)))))&
((?[X]:((funny(X)<~>curious(... | rich(mary) | [
"p1",
"p3",
"p6",
"p7",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6408579142645029394927283
% SZS output start Proof for 6408579142645029394927283
2. ! [X0] : ((~wise(X0) | ~funny(X0)) => (~humble(X0) & funny(X0))) [input p1]
4. ! [X0] : ((~tall(X0) & ~strong(X0)) <=> (~creative(X0) <~> funny(X0))) [input p3]
7. ! [X0] : ((~happy(X0) <~> calm(X0)) => (h... | 0 |
Everyone who is not brave or not happy is not curious or not happy.
If paul is both not strong and not old then someone is both not creative and kind and vice versa.
Everyone who is happy or wise is not happy or rich and vice versa.
Everyone who is old or tall is not happy.
If someone is both not tall and not rich then... | Fred is calm. | contradiction | (![X]:((~brave(X)|~happy(X))=>(~curious(X)|~happy(X))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~creative(X)&kind(X)))))&
(![X]:((happy(X)|wise(X))<=>(~happy(X)|rich(X))))&
(![X]:((old(X)|tall(X))=>~happy(X)))&
((?[X]:((~tall(X)&~rich(X))))=>(?[X]:((patient(X)<~>~quiet(X)))))&
((?[X]:(wise(X)))<=>((~kind(susan)<~>old(... | calm(fred) | [
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 460019873173868459593631
% SZS output start Proof for 460019873173868459593631
14. ~calm(fred) <=> ? [X0] : funny(X0) [input p13]
17. funny(mary) [input p16]
24. calm(fred) [input hypothesis]
67. (~calm(fred) | ! [X0] : ~funny(X0)) & (? [X0] : funny(X0) | calm(fred)) [nnf transformation 1... | 0 |
If lucy is either calm or not funny then someone is tall and vice versa. Everyone who is funny is curious or kind. Everyone who is generous is both not quiet and not happy and vice versa. Everyone who is both not wise and not calm is strong and vice versa. If lucy is not rich then someone is both not quiet and not happ... | Fred is not curious. | neutral | (((calm(lucy)<~>~funny(lucy)))<=>(?[X]:(tall(X))))&
(![X]:(funny(X)=>(curious(X)|kind(X))))&
(![X]:(generous(X)<=>(~quiet(X)&~happy(X))))&
(![X]:((~wise(X)&~calm(X))<=>strong(X)))&
((~rich(lucy))<=>(?[X]:((~quiet(X)&~happy(X)))))&
(![X]:(patient(X)=>(wise(X)<~>old(X))))&
(((happy(susan)|~rich(susan)))<=>(?[X]:(~curious... | ~curious(fred) | [] | null | 0 |
Everyone who is not kind or not rich is both not curious and not quiet. If john is both calm and patient then someone is either not old or not calm and vice versa. If john is either generous or not funny then someone is either not strong or patient and vice versa. Everyone who is rich or tall is both patient and brave ... | John is brave. | entailment | (![X]:((~kind(X)|~rich(X))=>(~curious(X)&~quiet(X))))&
(((calm(john)&patient(john)))<=>(?[X]:((~old(X)<~>~calm(X)))))&
(((generous(john)<~>~funny(john)))<=>(?[X]:((~strong(X)<~>patient(X)))))&
(![X]:((rich(X)|tall(X))<=>(patient(X)&brave(X))))&
(![X]:((strong(X)|curious(X))=>(funny(X)|~kind(X))))&
(![X]:((~curious(X)&~... | brave(john) | [
"p0",
"p1",
"p3",
"p5",
"p8",
"p9",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 588555915592099470026110
% SZS output start Proof for 588555915592099470026110
1. ! [X0] : ((~rich(X0) | ~kind(X0)) => (~quiet(X0) & ~curious(X0))) [input p0]
2. (patient(john) & calm(john)) <=> ? [X0] : (~old(X0) <~> ~calm(X0)) [input p1]
4. ! [X0] : ((tall(X0) | rich(X0)) <=> (brave(X0)... | 0 |
If someone is patient or not patient then someone is not happy or patient.
If alice is not brave then john is both patient and happy.
Everyone who is generous is not funny.
If someone is not rich then someone is either not kind or not calm and vice versa.
Everyone who is both brave and not wise is wise or not wise and ... | Paul is generous. | neutral | ((?[X]:((patient(X)|~patient(X))))=>(?[X]:((~happy(X)|patient(X)))))&
((~brave(alice))=>((patient(john)&happy(john))))&
(![X]:(generous(X)=>~funny(X)))&
((?[X]:(~rich(X)))<=>(?[X]:((~kind(X)<~>~calm(X)))))&
(![X]:((brave(X)&~wise(X))<=>(wise(X)|~wise(X))))&
(![X]:(curious(X)<=>(~wise(X)<~>~creative(X))))&
((?[X]:((~wis... | generous(paul) | [] | null | 0 |
Everyone who is both not generous and wise is either not curious or not calm and vice versa.
If someone is not generous or not quiet then mary is both creative and brave.
If someone is generous then alice is tall or not tall.
If john is not rich then someone is patient.
Everyone who is either not old or rich is both no... | John is rich. | contradiction | (![X]:((~generous(X)&wise(X))<=>(~curious(X)<~>~calm(X))))&
((?[X]:((~generous(X)|~quiet(X))))=>((creative(mary)&brave(mary))))&
((?[X]:(generous(X)))=>((tall(alice)|~tall(alice))))&
((~rich(john))=>(?[X]:(patient(X))))&
(![X]:((~old(X)<~>rich(X))<=>(~strong(X)&~calm(X))))&
((?[X]:((~funny(X)<~>~creative(X))))=>((brave... | rich(john) | [
"p4",
"p8",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8197876446966933128709596
% SZS output start Proof for 8197876446966933128709596
5. ! [X0] : ((~old(X0) <~> rich(X0)) <=> (~calm(X0) & ~strong(X0))) [input p4]
9. ! [X0] : (strong(X0) <=> (old(X0) & ~kind(X0))) [input p8]
12. ! [X0] : (old(X0) => (strong(X0) & ~strong(X0))) [input p11]
18... | 0 |
If someone is not rich then john is both not funny and wise.
Everyone who is not calm is calm or not generous.
Everyone who is not curious or not patient is wise or funny and vice versa.
Everyone who is not funny is rich and vice versa.
If someone is humble then someone is both funny and not creative.
Everyone who is g... | John is rich. | entailment | ((?[X]:(~rich(X)))=>((~funny(john)&wise(john))))&
(![X]:(~calm(X)=>(calm(X)|~generous(X))))&
(![X]:((~curious(X)|~patient(X))<=>(wise(X)|funny(X))))&
(![X]:(~funny(X)<=>rich(X)))&
((?[X]:(humble(X)))=>(?[X]:((funny(X)&~creative(X)))))&
(![X]:((generous(X)|~strong(X))=>brave(X)))&
(![X]:(~calm(X)<=>(~quiet(X)&old(X))))&... | rich(john) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2507571591534455350929190
% SZS output start Proof for 2507571591534455350929190
1. ? [X0] : ~rich(X0) => (wise(john) & ~funny(john)) [input p0]
4. ! [X0] : (~funny(X0) <=> rich(X0)) [input p3]
25. ~rich(john) [input hypothesis]
30. (wise(john) & ~funny(john)) | ! [X0] : rich(X0) [ennf tr... | 0 |
Everyone who is not rich or not quiet is both not funny and generous. If fred is quiet or patient then someone is not quiet or not brave. Everyone who is not generous is not wise or kind and vice versa. If someone is not curious then john is either strong or happy and vice versa. Everyone who is both creative and not k... | Alice is not curious. | neutral | (![X]:((~rich(X)|~quiet(X))=>(~funny(X)&generous(X))))&
(((quiet(fred)|patient(fred)))=>(?[X]:((~quiet(X)|~brave(X)))))&
(![X]:(~generous(X)<=>(~wise(X)|kind(X))))&
((?[X]:(~curious(X)))<=>((strong(john)<~>happy(john))))&
(![X]:((creative(X)&~kind(X))=>(~old(X)&~tall(X))))&
(![X]:((calm(X)<~>kind(X))=>(wise(X)<~>~curio... | ~curious(alice) | [] | null | 0 |
If someone is either not brave or rich then susan is either generous or happy.
If someone is not brave or happy then someone is either not happy or rich.
If someone is not rich or brave then someone is not patient.
Everyone who is not quiet is not rich.
Everyone who is either not rich or rich is both calm and not tall ... | Alice is calm. | entailment | ((?[X]:((~brave(X)<~>rich(X))))=>((generous(susan)<~>happy(susan))))&
((?[X]:((~brave(X)|happy(X))))=>(?[X]:((~happy(X)<~>rich(X)))))&
((?[X]:((~rich(X)|brave(X))))=>(?[X]:(~patient(X))))&
(![X]:(~quiet(X)=>~rich(X)))&
(![X]:((~rich(X)<~>rich(X))<=>(calm(X)&~tall(X))))&
(![X]:((~patient(X)|kind(X))=>~funny(X)))&
((?[X]... | calm(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4575994509830158548484282
% SZS output start Proof for 4575994509830158548484282
5. ! [X0] : ((~rich(X0) <~> rich(X0)) <=> (~tall(X0) & calm(X0))) [input p4]
25. ~calm(alice) [input hypothesis]
52. ! [X0] : ((((~rich(X0) | rich(X0)) & (rich(X0) | ~rich(X0))) | (tall(X0) | ~calm(X0))) & ((... | 0 |
If lucy is not strong or not humble then someone is patient or happy.
Everyone who is both brave and creative is not humble and vice versa.
Everyone who is not funny is funny or calm and vice versa.
Everyone who is not funny is creative or rich and vice versa.
If someone is both curious and wise then mary is either hap... | Alice is not kind. | contradiction | (((~strong(lucy)|~humble(lucy)))=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((brave(X)&creative(X))<=>~humble(X)))&
(![X]:(~funny(X)<=>(funny(X)|calm(X))))&
(![X]:(~funny(X)<=>(creative(X)|rich(X))))&
((?[X]:((curious(X)&wise(X))))<=>((happy(mary)<~>strong(mary))))&
(((calm(paul)|wise(paul)))<=>(?[X]:(~funny(X))))&
(![X]:... | ~kind(alice) | [
"p2",
"p6",
"p7",
"p8",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9168075760289195697697357
% SZS output start Proof for 9168075760289195697697357
3. ! [X0] : (~funny(X0) <=> (calm(X0) | funny(X0))) [input p2]
7. ! [X0] : ((~patient(X0) <~> wise(X0)) => (kind(X0) & ~old(X0))) [input p6]
8. ! [X0] : ((~creative(X0) & ~funny(X0)) <=> happy(X0)) [input p7]... | 0 |
Everyone who is both curious and not calm is calm or kind. Everyone who is brave or not patient is rich or not patient and vice versa. If lucy is both tall and rich then someone is either not kind or not calm. If someone is both not kind and happy then someone is both not quiet and not kind and vice versa. Everyone who... | Paul is curious. | contradiction | (![X]:((curious(X)&~calm(X))=>(calm(X)|kind(X))))&
(![X]:((brave(X)|~patient(X))<=>(rich(X)|~patient(X))))&
(((tall(lucy)&rich(lucy)))=>(?[X]:((~kind(X)<~>~calm(X)))))&
((?[X]:((~kind(X)&happy(X))))<=>(?[X]:((~quiet(X)&~kind(X)))))&
(![X]:((~wise(X)<~>wise(X))=>(rich(X)<~>tall(X))))&
((?[X]:((tall(X)|~brave(X))))<=>(?[... | curious(paul) | [
"p1",
"p8",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 227648431032215987264984
% SZS output start Proof for 227648431032215987264984
2. ! [X0] : ((~patient(X0) | brave(X0)) <=> (~patient(X0) | rich(X0))) [input p1]
9. ! [X0] : ((~brave(X0) & ~rich(X0)) <=> (~curious(X0) & kind(X0))) [input p8]
12. ! [X0] : ((brave(X0) <~> kind(X0)) => (~crea... | 0 |
If someone is both wise and not kind then someone is both not generous and not brave and vice versa. If lucy is old then paul is either not happy or not old and vice versa. Everyone who is either brave or not quiet is either kind or not generous and vice versa. If fred is both old and not calm then someone is either no... | Fred is curious. | contradiction | ((?[X]:((wise(X)&~kind(X))))<=>(?[X]:((~generous(X)&~brave(X)))))&
((old(lucy))<=>((~happy(paul)<~>~old(paul))))&
(![X]:((brave(X)<~>~quiet(X))<=>(kind(X)<~>~generous(X))))&
(((old(fred)&~calm(fred)))<=>(?[X]:((~old(X)<~>~funny(X)))))&
((~generous(alice))<=>((~curious(paul)|brave(paul))))&
(((rich(alice)&curious(alice)... | curious(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4300008178883958064720578
% SZS output start Proof for 4300008178883958064720578
21. ~curious(fred) & tall(fred) [input p20]
25. curious(fred) [input hypothesis]
29. ~curious(fred) [pure predicate removal 21]
150. ~curious(fred) [cnf transformation 29]
156. curious(fred) [cnf transformati... | 0 |
Everyone who is generous is either wise or creative.
Everyone who is generous is both patient and not generous.
Everyone who is either not brave or funny is both rich and happy.
If alice is not old or calm then someone is both wise and not curious and vice versa.
Everyone who is not strong is brave.
Everyone who is eit... | Alice is tall. | entailment | (![X]:(generous(X)=>(wise(X)<~>creative(X))))&
(![X]:(generous(X)=>(patient(X)&~generous(X))))&
(![X]:((~brave(X)<~>funny(X))=>(rich(X)&happy(X))))&
(((~old(alice)|calm(alice)))<=>(?[X]:((wise(X)&~curious(X)))))&
(![X]:(~strong(X)=>brave(X)))&
(![X]:((~brave(X)<~>kind(X))<=>curious(X)))&
(![X]:((funny(X)|~tall(X))=>(~c... | tall(alice) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5396296003302517796111285
% SZS output start Proof for 5396296003302517796111285
7. ! [X0] : ((~tall(X0) | funny(X0)) => (~wise(X0) & ~calm(X0))) [input p6]
10. ! [X0] : ((~calm(X0) <~> ~wise(X0)) <=> (~calm(X0) | curious(X0))) [input p9]
24. ~tall(alice) [input hypothesis]
31. ! [X0] : (... | 0 |
If someone is both strong and happy then paul is either not funny or kind and vice versa.
If someone is both patient and not happy then lucy is curious or humble and vice versa.
Everyone who is not quiet or happy is either not rich or brave.
Everyone who is both not happy and not generous is generous or not generous an... | Lucy is wise. | neutral | ((?[X]:((strong(X)&happy(X))))<=>((~funny(paul)<~>kind(paul))))&
((?[X]:((patient(X)&~happy(X))))<=>((curious(lucy)|humble(lucy))))&
(![X]:((~quiet(X)|happy(X))=>(~rich(X)<~>brave(X))))&
(![X]:((~happy(X)&~generous(X))<=>(generous(X)|~generous(X))))&
((?[X]:((~generous(X)<~>~tall(X))))=>((creative(alice)<~>~quiet(alice... | wise(lucy) | [] | null | 0 |
Everyone who is curious or not brave is both not creative and old. Everyone who is either brave or not strong is both not patient and patient and vice versa. Everyone who is not tall or not wise is both happy and not creative and vice versa. If lucy is patient or not generous then alice is not old or wise. Everyone who... | Mary is not brave. | contradiction | (![X]:((curious(X)|~brave(X))=>(~creative(X)&old(X))))&
(![X]:((brave(X)<~>~strong(X))<=>(~patient(X)&patient(X))))&
(![X]:((~tall(X)|~wise(X))<=>(happy(X)&~creative(X))))&
(((patient(lucy)|~generous(lucy)))=>((~old(alice)|wise(alice))))&
(![X]:((~funny(X)|~creative(X))=>(old(X)<~>~quiet(X))))&
(![X]:((~calm(X)&~genero... | ~brave(mary) | [
"p0",
"p1",
"p2",
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 825299186217402581698302
% SZS output start Proof for 825299186217402581698302
1. ! [X0] : ((~brave(X0) | curious(X0)) => (old(X0) & ~creative(X0))) [input p0]
2. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> (patient(X0) & ~patient(X0))) [input p1]
3. ! [X0] : ((~wise(X0) | ~tall(X0)) <=> (~... | 0 |
If fred is wise then someone is not tall or brave.
Everyone who is either brave or not old is creative and vice versa.
Everyone who is both humble and brave is not calm or quiet and vice versa.
If someone is strong then paul is brave or not curious.
If susan is either not curious or not strong then susan is happy or no... | Susan is funny. | contradiction | ((wise(fred))=>(?[X]:((~tall(X)|brave(X)))))&
(![X]:((brave(X)<~>~old(X))<=>creative(X)))&
(![X]:((humble(X)&brave(X))<=>(~calm(X)|quiet(X))))&
((?[X]:(strong(X)))=>((brave(paul)|~curious(paul))))&
(((~curious(susan)<~>~strong(susan)))=>((happy(susan)|~strong(susan))))&
(![X]:((~brave(X)|~rich(X))<=>(old(X)&rich(X))))&... | funny(susan) | [
"p1",
"p2",
"p5",
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2951951960780424641335234
% SZS output start Proof for 2951951960780424641335234
2. ! [X0] : ((brave(X0) <~> ~old(X0)) <=> creative(X0)) [input p1]
3. ! [X0] : ((brave(X0) & humble(X0)) <=> (quiet(X0) | ~calm(X0))) [input p2]
6. ! [X0] : ((~rich(X0) | ~brave(X0)) <=> (rich(X0) & old(X0)))... | 0 |
Everyone who is not tall or not happy is either tall or creative and vice versa.
If lucy is not tall or not wise then someone is both quiet and brave.
Everyone who is both brave and tall is generous or funny and vice versa.
Everyone who is not wise or creative is both quiet and not old and vice versa.
If someone is not... | Alice is creative. | contradiction | (![X]:((~tall(X)|~happy(X))<=>(tall(X)<~>creative(X))))&
(((~tall(lucy)|~wise(lucy)))=>(?[X]:((quiet(X)&brave(X)))))&
(![X]:((brave(X)&tall(X))<=>(generous(X)|funny(X))))&
(![X]:((~wise(X)|creative(X))<=>(quiet(X)&~old(X))))&
((?[X]:((~old(X)|~rich(X))))=>((~creative(john)<~>~curious(john))))&
(![X]:((tall(X)<~>~kind(X... | creative(alice) | [
"p3",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4974570512601970987403562
% SZS output start Proof for 4974570512601970987403562
4. ! [X0] : ((creative(X0) | ~wise(X0)) <=> (~old(X0) & quiet(X0))) [input p3]
7. ! [X0] : (brave(X0) => (creative(X0) & old(X0))) [input p6]
13. ! [X0] : ((old(X0) | creative(X0)) <=> brave(X0)) [input p12]
... | 0 |
Everyone who is both not quiet and not wise is both not rich and wise.
If susan is not old then someone is curious and vice versa.
Everyone who is not happy is either strong or not brave and vice versa.
Everyone who is both humble and not humble is either happy or curious and vice versa.
If someone is either quiet or n... | Fred is not calm. | contradiction | (![X]:((~quiet(X)&~wise(X))=>(~rich(X)&wise(X))))&
((~old(susan))<=>(?[X]:(curious(X))))&
(![X]:(~happy(X)<=>(strong(X)<~>~brave(X))))&
(![X]:((humble(X)&~humble(X))<=>(happy(X)<~>curious(X))))&
((?[X]:((quiet(X)<~>~tall(X))))<=>(?[X]:((rich(X)<~>~strong(X)))))&
((?[X]:(~kind(X)))=>(?[X]:((creative(X)&generous(X)))))&
... | ~calm(fred) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1581629895661559591772326
% SZS output start Proof for 1581629895661559591772326
7. ? [X0] : (~calm(X0) | ~funny(X0)) <=> (~funny(lucy) & ~strong(lucy)) [input p6]
11. ? [X0] : (~funny(X0) | ~quiet(X0)) => calm(fred) [input p10]
25. ~calm(fred) [input hypothesis]
36. calm(fred) | ! [X0] :... | 0 |
If mary is not generous then paul is both not rich and wise and vice versa. If susan is both not curious and patient then someone is not strong or funny. Everyone who is either not old or not creative is both wise and tall. Everyone who is either not rich or not happy is both curious and generous and vice versa. If som... | Susan is old. | neutral | ((~generous(mary))<=>((~rich(paul)&wise(paul))))&
(((~curious(susan)&patient(susan)))=>(?[X]:((~strong(X)|funny(X)))))&
(![X]:((~old(X)<~>~creative(X))=>(wise(X)&tall(X))))&
(![X]:((~rich(X)<~>~happy(X))<=>(curious(X)&generous(X))))&
((?[X]:((~happy(X)|~kind(X))))<=>((happy(john)|generous(john))))&
((?[X]:((~curious(X)... | old(susan) | [] | null | 0 |
Everyone who is creative is not tall and vice versa.
Everyone who is either curious or creative is funny.
Everyone who is creative or tall is both not kind and quiet and vice versa.
Everyone who is not humble or not creative is either not creative or funny and vice versa.
Everyone who is not happy is patient or not cre... | Paul is not quiet. | contradiction | (![X]:(creative(X)<=>~tall(X)))&
(![X]:((curious(X)<~>creative(X))=>funny(X)))&
(![X]:((creative(X)|tall(X))<=>(~kind(X)&quiet(X))))&
(![X]:((~humble(X)|~creative(X))<=>(~creative(X)<~>funny(X))))&
(![X]:(~happy(X)<=>(patient(X)|~creative(X))))&
(![X]:(~humble(X)=>(tall(X)|happy(X))))&
(![X]:(~humble(X)<=>(~rich(X)&pat... | ~quiet(paul) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 9050124957486673556124793
% SZS output start Proof for 9050124957486673556124793
1. ! [X0] : (creative(X0) <=> ~tall(X0)) [input p0]
3. ! [X0] : ((tall(X0) | creative(X0)) <=> (quiet(X0) & ~kind(X0))) [input p2]
21. ~quiet(paul) [input hypothesis]
33. ! [X0] : ((creative(X0) | tall(X0)) &... | 0 |
If someone is not humble or not quiet then someone is not strong and vice versa. Everyone who is either brave or quiet is creative or brave and vice versa. If susan is either strong or patient then alice is strong and vice versa. If someone is either not humble or brave then someone is humble or not kind. If john is ta... | Fred is quiet. | entailment | ((?[X]:((~humble(X)|~quiet(X))))<=>(?[X]:(~strong(X))))&
(![X]:((brave(X)<~>quiet(X))<=>(creative(X)|brave(X))))&
(((strong(susan)<~>patient(susan)))<=>(strong(alice)))&
((?[X]:((~humble(X)<~>brave(X))))=>(?[X]:((humble(X)|~kind(X)))))&
(((tall(john)|~quiet(john)))<=>((~curious(fred)|happy(fred))))&
((quiet(susan))=>(?... | quiet(fred) | [
"p1",
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7364904975294320224536349
% SZS output start Proof for 7364904975294320224536349
2. ! [X0] : ((brave(X0) <~> quiet(X0)) <=> (brave(X0) | creative(X0))) [input p1]
8. ! [X0] : (~brave(X0) <=> creative(X0)) [input p7]
14. (happy(paul) & brave(paul)) <=> ? [X0] : ~quiet(X0) [input p13]
16. !... | 0 |
If lucy is not curious then someone is both happy and not creative and vice versa.
Everyone who is either not humble or not calm is both happy and not quiet and vice versa.
If alice is both quiet and not curious then someone is both kind and humble.
If paul is both not brave and kind then alice is both not generous and... | Alice is not kind. | neutral | ((~curious(lucy))<=>(?[X]:((happy(X)&~creative(X)))))&
(![X]:((~humble(X)<~>~calm(X))<=>(happy(X)&~quiet(X))))&
(((quiet(alice)&~curious(alice)))=>(?[X]:((kind(X)&humble(X)))))&
(((~brave(paul)&kind(paul)))=>((~generous(alice)&~calm(alice))))&
(![X]:((calm(X)|~funny(X))<=>(tall(X)<~>~old(X))))&
(![X]:((rich(X)<~>~rich(... | ~kind(alice) | [] | null | 0 |
Everyone who is both not humble and happy is not wise.
Everyone who is either creative or patient is not quiet and vice versa.
Everyone who is old is both rich and not wise.
If someone is not generous or happy then someone is both old and not tall and vice versa.
If alice is both not curious and creative then someone i... | Alice is calm. | entailment | (![X]:((~humble(X)&happy(X))=>~wise(X)))&
(![X]:((creative(X)<~>patient(X))<=>~quiet(X)))&
(![X]:(old(X)=>(rich(X)&~wise(X))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:((old(X)&~tall(X)))))&
(((~curious(alice)&creative(alice)))=>(?[X]:((~curious(X)&rich(X)))))&
(![X]:((~old(X)&~kind(X))<=>(~happy(X)<~>~kind(X))))&
(!... | calm(alice) | [
"p5",
"p7",
"p8",
"p9",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4228585523014335838301140
% SZS output start Proof for 4228585523014335838301140
6. ! [X0] : ((~kind(X0) & ~old(X0)) <=> (~happy(X0) <~> ~kind(X0))) [input p5]
8. ! [X0] : ((kind(X0) & generous(X0)) <=> ~curious(X0)) [input p7]
9. ! [X0] : (~humble(X0) <=> (funny(X0) & ~wise(X0))) [input ... | 0 |
Everyone who is not rich is either not quiet or not old and vice versa.
If someone is patient or happy then john is both not kind and not patient.
If alice is both not funny and not kind then paul is curious.
Everyone who is either not humble or humble is either calm or brave and vice versa.
If john is not calm then so... | John is generous. | entailment | (![X]:(~rich(X)<=>(~quiet(X)<~>~old(X))))&
((?[X]:((patient(X)|happy(X))))=>((~kind(john)&~patient(john))))&
(((~funny(alice)&~kind(alice)))=>(curious(paul)))&
(![X]:((~humble(X)<~>humble(X))<=>(calm(X)<~>brave(X))))&
((~calm(john))=>(?[X]:(generous(X))))&
(![X]:(~calm(X)<=>(~curious(X)&~wise(X))))&
(![X]:((~creative(X... | generous(john) | [
"p0",
"p1",
"p3",
"p6",
"p8",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 679741081824747442282938
% SZS output start Proof for 679741081824747442282938
1. ! [X0] : (~rich(X0) <=> (~quiet(X0) <~> ~old(X0))) [input p0]
2. ? [X0] : (happy(X0) | patient(X0)) => (~patient(john) & ~kind(john)) [input p1]
4. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (calm(X0) <~> br... | 0 |
Everyone who is both not old and patient is tall or kind.
Everyone who is both happy and humble is both humble and not kind.
If lucy is not kind then someone is not tall.
If paul is tall or not old then someone is not happy.
Everyone who is kind is either funny or not happy.
If paul is humble then paul is both quiet an... | Susan is humble. | neutral | (![X]:((~old(X)&patient(X))=>(tall(X)|kind(X))))&
(![X]:((happy(X)&humble(X))=>(humble(X)&~kind(X))))&
((~kind(lucy))=>(?[X]:(~tall(X))))&
(((tall(paul)|~old(paul)))=>(?[X]:(~happy(X))))&
(![X]:(kind(X)=>(funny(X)<~>~happy(X))))&
((humble(paul))<=>((quiet(paul)&~curious(paul))))&
(![X]:(~brave(X)=>(~strong(X)&~calm(X))... | humble(susan) | [] | null | 0 |
If someone is not happy then paul is both not generous and not calm.
Everyone who is both not old and happy is happy or wise and vice versa.
Everyone who is not strong is funny and vice versa.
If someone is either not old or kind then someone is creative and vice versa.
If mary is both happy and funny then someone is n... | Mary is curious. | neutral | ((?[X]:(~happy(X)))=>((~generous(paul)&~calm(paul))))&
(![X]:((~old(X)&happy(X))<=>(happy(X)|wise(X))))&
(![X]:(~strong(X)<=>funny(X)))&
((?[X]:((~old(X)<~>kind(X))))<=>(?[X]:(creative(X))))&
(((happy(mary)&funny(mary)))=>(?[X]:(~funny(X))))&
(![X]:((~quiet(X)<~>~happy(X))<=>(~funny(X)&~calm(X))))&
(((~happy(john)|calm... | curious(mary) | [] | null | 0 |
Everyone who is not old is old.
Everyone who is both tall and not generous is both calm and not kind and vice versa.
If fred is both humble and brave then susan is both old and not strong.
If someone is either not calm or not creative then susan is wise.
If john is not old then someone is either not happy or not patien... | Paul is brave. | entailment | (![X]:(~old(X)=>old(X)))&
(![X]:((tall(X)&~generous(X))<=>(calm(X)&~kind(X))))&
(((humble(fred)&brave(fred)))=>((old(susan)&~strong(susan))))&
((?[X]:((~calm(X)<~>~creative(X))))=>(wise(susan)))&
((~old(john))<=>(?[X]:((~happy(X)<~>~patient(X)))))&
(![X]:((patient(X)|kind(X))=>(curious(X)&strong(X))))&
(![X]:(funny(X)<... | brave(paul) | [
"p0",
"p1",
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3020213961820858040862835
% SZS output start Proof for 3020213961820858040862835
1. ! [X0] : (~old(X0) => old(X0)) [input p0]
2. ! [X0] : ((~generous(X0) & tall(X0)) <=> (~kind(X0) & calm(X0))) [input p1]
6. ! [X0] : ((kind(X0) | patient(X0)) => (strong(X0) & curious(X0))) [input p5]
13. ... | 0 |
Everyone who is either strong or not brave is both rich and happy and vice versa. If someone is either wise or not brave then mary is not brave and vice versa. Everyone who is patient or humble is not curious or brave and vice versa. Everyone who is both not humble and tall is either patient or not generous. Everyone w... | Mary is not brave. | neutral | (![X]:((strong(X)<~>~brave(X))<=>(rich(X)&happy(X))))&
((?[X]:((wise(X)<~>~brave(X))))<=>(~brave(mary)))&
(![X]:((patient(X)|humble(X))<=>(~curious(X)|brave(X))))&
(![X]:((~humble(X)&tall(X))=>(patient(X)<~>~generous(X))))&
(![X]:((creative(X)|curious(X))=>quiet(X)))&
((?[X]:((~wise(X)|~humble(X))))=>((calm(lucy)|old(l... | ~brave(mary) | [] | null | 0 |
Everyone who is both quiet and calm is not curious or not rich and vice versa. If susan is curious then susan is not creative or not quiet and vice versa. If paul is kind then mary is both not quiet and old. Everyone who is not kind or not strong is either quiet or tall. If someone is not happy then mary is wise and vi... | Paul is old. | entailment | (![X]:((quiet(X)&calm(X))<=>(~curious(X)|~rich(X))))&
((curious(susan))<=>((~creative(susan)|~quiet(susan))))&
((kind(paul))=>((~quiet(mary)&old(mary))))&
(![X]:((~kind(X)|~strong(X))=>(quiet(X)<~>tall(X))))&
((?[X]:(~happy(X)))<=>(wise(mary)))&
(![X]:(~creative(X)<=>(~happy(X)&~brave(X))))&
(![X]:((~quiet(X)<~>rich(X)... | old(paul) | [
"p0",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2077873169253157876129320
% SZS output start Proof for 2077873169253157876129320
1. ! [X0] : ((calm(X0) & quiet(X0)) <=> (~rich(X0) | ~curious(X0))) [input p0]
10. ! [X0] : ((~curious(X0) <~> patient(X0)) <=> wise(X0)) [input p9]
14. ! [X0] : ((curious(X0) <~> ~old(X0)) => (patient(X0) & ... | 0 |
Everyone who is both not calm and humble is not generous or kind. If someone is both wise and not strong then susan is humble or wise and vice versa. Everyone who is not kind is not curious and vice versa. Everyone who is funny is tall and vice versa. Everyone who is not patient is either rich or not generous and vice ... | Susan is creative. | neutral | (![X]:((~calm(X)&humble(X))=>(~generous(X)|kind(X))))&
((?[X]:((wise(X)&~strong(X))))<=>((humble(susan)|wise(susan))))&
(![X]:(~kind(X)<=>~curious(X)))&
(![X]:(funny(X)<=>tall(X)))&
(![X]:(~patient(X)<=>(rich(X)<~>~generous(X))))&
(![X]:((~curious(X)|~humble(X))=>(curious(X)<~>wise(X))))&
(![X]:((calm(X)|~patient(X))=>... | creative(susan) | [] | null | 0 |
Everyone who is wise or old is both not kind and not creative.
Everyone who is both not kind and not old is either quiet or not funny.
Everyone who is either tall or old is both tall and not creative.
Everyone who is not generous is not creative.
If someone is quiet then someone is generous.
Everyone who is either not ... | Paul is humble. | neutral | (![X]:((wise(X)|old(X))=>(~kind(X)&~creative(X))))&
(![X]:((~kind(X)&~old(X))=>(quiet(X)<~>~funny(X))))&
(![X]:((tall(X)<~>old(X))=>(tall(X)&~creative(X))))&
(![X]:(~generous(X)=>~creative(X)))&
((?[X]:(quiet(X)))=>(?[X]:(generous(X))))&
(![X]:((~rich(X)<~>humble(X))<=>(tall(X)|~old(X))))&
(((kind(paul)|~patient(paul))... | humble(paul) | [] | null | 0 |
Everyone who is either not wise or not quiet is either creative or rich and vice versa.
Everyone who is rich is kind and vice versa.
Everyone who is both not rich and not strong is quiet and vice versa.
If susan is not curious then paul is not generous or not wise.
Everyone who is not creative is not tall and vice vers... | Susan is not humble. | neutral | (![X]:((~wise(X)<~>~quiet(X))<=>(creative(X)<~>rich(X))))&
(![X]:(rich(X)<=>kind(X)))&
(![X]:((~rich(X)&~strong(X))<=>quiet(X)))&
((~curious(susan))=>((~generous(paul)|~wise(paul))))&
(![X]:(~creative(X)<=>~tall(X)))&
(![X]:((~humble(X)<~>tall(X))=>(~strong(X)|~happy(X))))&
(![X]:((creative(X)|quiet(X))=>(calm(X)<~>bra... | ~humble(susan) | [] | null | 0 |
Everyone who is both wise and strong is kind and vice versa.
Everyone who is either not creative or not curious is humble or not creative.
If someone is either kind or creative then mary is either not calm or not strong.
If lucy is either creative or old then lucy is either calm or not tall.
If someone is either not qu... | John is quiet. | contradiction | (![X]:((wise(X)&strong(X))<=>kind(X)))&
(![X]:((~creative(X)<~>~curious(X))=>(humble(X)|~creative(X))))&
((?[X]:((kind(X)<~>creative(X))))=>((~calm(mary)<~>~strong(mary))))&
(((creative(lucy)<~>old(lucy)))=>((calm(lucy)<~>~tall(lucy))))&
((?[X]:((~quiet(X)<~>~humble(X))))<=>(?[X]:((wise(X)&~kind(X)))))&
(![X]:(~strong(... | quiet(john) | [
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 220809472206002266523487
% SZS output start Proof for 220809472206002266523487
6. ! [X0] : (~strong(X0) <=> quiet(X0)) [input p5]
8. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> old(X0)) [input p7]
9. ! [X0] : ((~patient(X0) | ~strong(X0)) => (~old(X0) <~> ~quiet(X0))) [input p8]
24. quiet(jo... | 0 |
Everyone who is not humble or curious is kind or generous.
If someone is both not brave and not humble then someone is both quiet and happy and vice versa.
Everyone who is calm or not rich is either creative or strong and vice versa.
Everyone who is either curious or not old is either not curious or rich and vice versa... | Mary is rich. | entailment | (![X]:((~humble(X)|curious(X))=>(kind(X)|generous(X))))&
((?[X]:((~brave(X)&~humble(X))))<=>(?[X]:((quiet(X)&happy(X)))))&
(![X]:((calm(X)|~rich(X))<=>(creative(X)<~>strong(X))))&
(![X]:((curious(X)<~>~old(X))<=>(~curious(X)<~>rich(X))))&
(![X]:((kind(X)|generous(X))=>(quiet(X)&old(X))))&
((~quiet(lucy))=>(~humble(paul... | rich(mary) | [
"p0",
"p3",
"p4",
"p6",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1012869000434224103275178
% SZS output start Proof for 1012869000434224103275178
1. ! [X0] : ((curious(X0) | ~humble(X0)) => (generous(X0) | kind(X0))) [input p0]
4. ! [X0] : ((curious(X0) <~> ~old(X0)) <=> (~curious(X0) <~> rich(X0))) [input p3]
5. ! [X0] : ((generous(X0) | kind(X0)) => ... | 0 |
If someone is either not funny or rich then lucy is not brave or not kind.
Everyone who is old is strong or not old and vice versa.
Everyone who is either kind or not happy is not strong or patient and vice versa.
If fred is either happy or not kind then someone is both not quiet and not creative and vice versa.
If som... | Paul is not patient. | contradiction | ((?[X]:((~funny(X)<~>rich(X))))=>((~brave(lucy)|~kind(lucy))))&
(![X]:(old(X)<=>(strong(X)|~old(X))))&
(![X]:((kind(X)<~>~happy(X))<=>(~strong(X)|patient(X))))&
(((happy(fred)<~>~kind(fred)))<=>(?[X]:((~quiet(X)&~creative(X)))))&
((?[X]:((humble(X)&funny(X))))=>((~kind(fred)|~rich(fred))))&
(![X]:((~calm(X)|happy(X))<=... | ~patient(paul) | [
"p1",
"p2",
"p5",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4148560313169667975225357
% SZS output start Proof for 4148560313169667975225357
2. ! [X0] : (old(X0) <=> (~old(X0) | strong(X0))) [input p1]
3. ! [X0] : ((kind(X0) <~> ~happy(X0)) <=> (patient(X0) | ~strong(X0))) [input p2]
6. ! [X0] : ((happy(X0) | ~calm(X0)) <=> ~curious(X0)) [input p5... | 0 |
If someone is both humble and not rich then paul is both strong and patient and vice versa.
If alice is kind or generous then john is strong or not curious.
Everyone who is funny is both not happy and patient.
Everyone who is not humble or calm is both rich and not curious.
Everyone who is not old is both not tall and ... | Fred is not humble. | neutral | ((?[X]:((humble(X)&~rich(X))))<=>((strong(paul)&patient(paul))))&
(((kind(alice)|generous(alice)))=>((strong(john)|~curious(john))))&
(![X]:(funny(X)=>(~happy(X)&patient(X))))&
(![X]:((~humble(X)|calm(X))=>(rich(X)&~curious(X))))&
(![X]:(~old(X)=>(~tall(X)&~old(X))))&
(![X]:((creative(X)<~>patient(X))<=>(~funny(X)<~>fu... | ~humble(fred) | [] | null | 0 |
Everyone who is both not calm and brave is not creative or generous.
If susan is calm or not patient then paul is both not curious and calm.
Everyone who is either not wise or calm is not calm and vice versa.
If alice is either not wise or calm then susan is curious or not old.
Everyone who is either funny or brave is ... | Lucy is not curious. | neutral | (![X]:((~calm(X)&brave(X))=>(~creative(X)|generous(X))))&
(((calm(susan)|~patient(susan)))=>((~curious(paul)&calm(paul))))&
(![X]:((~wise(X)<~>calm(X))<=>~calm(X)))&
(((~wise(alice)<~>calm(alice)))=>((curious(susan)|~old(susan))))&
(![X]:((funny(X)<~>brave(X))<=>(~generous(X)|~humble(X))))&
(![X]:((kind(X)<~>strong(X))... | ~curious(lucy) | [] | null | 0 |
If paul is strong or kind then lucy is tall or not strong and vice versa. Everyone who is not tall or not quiet is both calm and patient and vice versa. If someone is either not tall or not funny then someone is not old or funny and vice versa. Everyone who is both not strong and not curious is not funny. Everyone who ... | Alice is curious. | contradiction | (((strong(paul)|kind(paul)))<=>((tall(lucy)|~strong(lucy))))&
(![X]:((~tall(X)|~quiet(X))<=>(calm(X)&patient(X))))&
((?[X]:((~tall(X)<~>~funny(X))))<=>(?[X]:((~old(X)|funny(X)))))&
(![X]:((~strong(X)&~curious(X))=>~funny(X)))&
(![X]:((~kind(X)&~wise(X))=>(creative(X)<~>tall(X))))&
(![X]:(~patient(X)=>(generous(X)|tall(... | curious(alice) | [
"p1",
"p7",
"p9",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 402449054717925046618830
% SZS output start Proof for 402449054717925046618830
2. ! [X0] : ((~quiet(X0) | ~tall(X0)) <=> (patient(X0) & calm(X0))) [input p1]
8. (~tall(alice) | tall(alice)) => ? [X0] : ~rich(X0) [input p7]
10. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> curious(X0)) [input p9]
... | 0 |
Everyone who is both quiet and not funny is either curious or not generous and vice versa.
Everyone who is both tall and not generous is creative or not happy and vice versa.
Everyone who is not curious or wise is not generous and vice versa.
Everyone who is not generous or not funny is funny.
Everyone who is old is no... | John is not happy. | contradiction | (![X]:((quiet(X)&~funny(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((tall(X)&~generous(X))<=>(creative(X)|~happy(X))))&
(![X]:((~curious(X)|wise(X))<=>~generous(X)))&
(![X]:((~generous(X)|~funny(X))=>funny(X)))&
(![X]:(old(X)<=>~creative(X)))&
((?[X]:((~creative(X)<~>creative(X))))<=>((rich(alice)<~>kind(alice))))&
(![... | ~happy(john) | [
"p0",
"p1",
"p2",
"p3",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 318361841276453636910381
% SZS output start Proof for 318361841276453636910381
1. ! [X0] : ((~funny(X0) & quiet(X0)) <=> (curious(X0) <~> ~generous(X0))) [input p0]
2. ! [X0] : ((~generous(X0) & tall(X0)) <=> (~happy(X0) | creative(X0))) [input p1]
3. ! [X0] : ((wise(X0) | ~curious(X0)) <... | 0 |
If someone is not funny then someone is curious or not tall.
If someone is curious or not calm then mary is not tall and vice versa.
Everyone who is both creative and not rich is patient or brave.
Everyone who is both not creative and strong is either not calm or not happy.
If mary is both happy and strong then someone... | Lucy is creative. | entailment | ((?[X]:(~funny(X)))=>(?[X]:((curious(X)|~tall(X)))))&
((?[X]:((curious(X)|~calm(X))))<=>(~tall(mary)))&
(![X]:((creative(X)&~rich(X))=>(patient(X)|brave(X))))&
(![X]:((~creative(X)&strong(X))=>(~calm(X)<~>~happy(X))))&
(((happy(mary)&strong(mary)))=>(?[X]:((~tall(X)<~>~creative(X)))))&
(![X]:((~wise(X)<~>~brave(X))<=>(... | creative(lucy) | [
"p3",
"p10",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3431280139873138651607383
% SZS output start Proof for 3431280139873138651607383
4. ! [X0] : ((strong(X0) & ~creative(X0)) => (~calm(X0) <~> ~happy(X0))) [input p3]
11. ! [X0] : (strong(X0) => (~happy(X0) | calm(X0))) [input p10]
14. ! [X0] : (old(X0) => (kind(X0) & ~tall(X0))) [input p13... | 0 |
If someone is either creative or not creative then someone is either wise or curious. If susan is not generous then someone is both creative and not patient and vice versa. Everyone who is not strong is both not creative and not calm. Everyone who is either calm or patient is either not tall or not creative. Everyone w... | Paul is not happy. | contradiction | ((?[X]:((creative(X)<~>~creative(X))))=>(?[X]:((wise(X)<~>curious(X)))))&
((~generous(susan))<=>(?[X]:((creative(X)&~patient(X)))))&
(![X]:(~strong(X)=>(~creative(X)&~calm(X))))&
(![X]:((calm(X)<~>patient(X))=>(~tall(X)<~>~creative(X))))&
(![X]:((~rich(X)|~tall(X))=>old(X)))&
((?[X]:(~strong(X)))=>((curious(mary)&quiet... | ~happy(paul) | [
"p6",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3083114977372902092987176
% SZS output start Proof for 3083114977372902092987176
7. ! [X0] : ((~patient(X0) | patient(X0)) <=> (curious(X0) & calm(X0))) [input p6]
14. ! [X0] : ((happy(X0) & brave(X0)) <=> ~creative(X0)) [input p13]
16. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (~generous... | 0 |
Everyone who is either not strong or not rich is rich or old.
If someone is happy then mary is not calm.
If alice is either not strong or creative then someone is not tall or not curious.
If someone is both calm and not funny then john is not humble.
If lucy is happy then lucy is quiet or humble.
Everyone who is not fu... | Fred is not brave. | entailment | (![X]:((~strong(X)<~>~rich(X))=>(rich(X)|old(X))))&
((?[X]:(happy(X)))=>(~calm(mary)))&
(((~strong(alice)<~>creative(alice)))=>(?[X]:((~tall(X)|~curious(X)))))&
((?[X]:((calm(X)&~funny(X))))=>(~humble(john)))&
((happy(lucy))=>((quiet(lucy)|humble(lucy))))&
(![X]:(~funny(X)<=>(~old(X)<~>generous(X))))&
((?[X]:((~quiet(X... | ~brave(fred) | [
"p8",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6006655363487195748771284
% SZS output start Proof for 6006655363487195748771284
9. ! [X0] : ((curious(X0) <~> ~brave(X0)) => ~kind(X0)) [input p8]
13. ! [X0] : ((brave(X0) | ~generous(X0)) <=> curious(X0)) [input p12]
22. kind(fred) & patient(fred) [input p21]
25. brave(fred) [input hypo... | 0 |
Everyone who is both not rich and curious is not calm or humble.
Everyone who is both strong and brave is both patient and not tall.
If fred is not tall then lucy is either not brave or humble.
If susan is either happy or not tall then someone is both not wise and not creative and vice versa.
If fred is both calm and n... | Lucy is brave. | neutral | (![X]:((~rich(X)&curious(X))=>(~calm(X)|humble(X))))&
(![X]:((strong(X)&brave(X))=>(patient(X)&~tall(X))))&
((~tall(fred))=>((~brave(lucy)<~>humble(lucy))))&
(((happy(susan)<~>~tall(susan)))<=>(?[X]:((~wise(X)&~creative(X)))))&
(((calm(fred)&~strong(fred)))=>(?[X]:((strong(X)<~>~patient(X)))))&
(((funny(fred)|~strong(f... | brave(lucy) | [] | null | 0 |
Everyone who is wise is both happy and patient. If someone is not tall then someone is kind or generous. If someone is not wise or not brave then susan is not funny or curious. If someone is old then someone is both wise and generous and vice versa. If paul is both funny and tall then someone is not curious and vice ve... | Alice is curious. | entailment | (![X]:(wise(X)=>(happy(X)&patient(X))))&
((?[X]:(~tall(X)))=>(?[X]:((kind(X)|generous(X)))))&
((?[X]:((~wise(X)|~brave(X))))=>((~funny(susan)|curious(susan))))&
((?[X]:(old(X)))<=>(?[X]:((wise(X)&generous(X)))))&
(((funny(paul)&tall(paul)))<=>(?[X]:(~curious(X))))&
(![X]:((~strong(X)&~tall(X))=>(~brave(X)|~creative(X))... | curious(alice) | [
"p0",
"p4",
"p7",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4054600763103229073395784
% SZS output start Proof for 4054600763103229073395784
1. ! [X0] : (wise(X0) => (patient(X0) & happy(X0))) [input p0]
5. (tall(paul) & funny(paul)) <=> ? [X0] : ~curious(X0) [input p4]
8. ! [X0] : ((~tall(X0) <~> funny(X0)) <=> old(X0)) [input p7]
10. ? [X0] : (o... | 0 |
Everyone who is either not wise or not old is not wise and vice versa.
Everyone who is either not wise or not patient is tall.
Everyone who is not calm is not generous.
Everyone who is not happy or old is funny or brave and vice versa.
Everyone who is calm is both patient and calm.
Everyone who is either not creative o... | Paul is generous. | contradiction | (![X]:((~wise(X)<~>~old(X))<=>~wise(X)))&
(![X]:((~wise(X)<~>~patient(X))=>tall(X)))&
(![X]:(~calm(X)=>~generous(X)))&
(![X]:((~happy(X)|old(X))<=>(funny(X)|brave(X))))&
(![X]:(calm(X)=>(patient(X)&calm(X))))&
(![X]:((~creative(X)<~>~generous(X))<=>(~rich(X)|~happy(X))))&
(![X]:((curious(X)<~>creative(X))=>(~creative(X... | generous(paul) | [
"p2",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 627556161288319247763976
% SZS output start Proof for 627556161288319247763976
3. ! [X0] : (~calm(X0) => ~generous(X0)) [input p2]
5. ! [X0] : (calm(X0) => (calm(X0) & patient(X0))) [input p4]
9. ! [X0] : ((patient(X0) | ~happy(X0)) => (~generous(X0) & ~calm(X0))) [input p8]
23. generous(... | 0 |
Everyone who is both not patient and happy is not tall and vice versa. If someone is tall or rich then susan is not old or not curious. Everyone who is not calm or not brave is both happy and not wise and vice versa. Everyone who is either happy or not creative is either not calm or not curious and vice versa. If fred ... | Lucy is old. | contradiction | (![X]:((~patient(X)&happy(X))<=>~tall(X)))&
((?[X]:((tall(X)|rich(X))))=>((~old(susan)|~curious(susan))))&
(![X]:((~calm(X)|~brave(X))<=>(happy(X)&~wise(X))))&
(![X]:((happy(X)<~>~creative(X))<=>(~calm(X)<~>~curious(X))))&
(((~funny(fred)|~kind(fred)))=>(?[X]:(funny(X))))&
(![X]:((~kind(X)|~quiet(X))<=>(~humble(X)&happ... | old(lucy) | [
"p2",
"p3",
"p5",
"p6",
"p7",
"p8",
"p9",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2108622842047761147337926
% SZS output start Proof for 2108622842047761147337926
3. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (~wise(X0) & happy(X0))) [input p2]
4. ! [X0] : ((happy(X0) <~> ~creative(X0)) <=> (~calm(X0) <~> ~curious(X0))) [input p3]
6. ! [X0] : ((~quiet(X0) | ~kind(X0)) <=> ... | 0 |
If mary is not patient or not rich then susan is wise and vice versa. If someone is wise then mary is not wise and vice versa. If someone is creative then someone is not tall and vice versa. Everyone who is not kind or not funny is brave or not calm and vice versa. Everyone who is both happy and not tall is not old. Ev... | Susan is patient. | contradiction | (((~patient(mary)|~rich(mary)))<=>(wise(susan)))&
((?[X]:(wise(X)))<=>(~wise(mary)))&
((?[X]:(creative(X)))<=>(?[X]:(~tall(X))))&
(![X]:((~kind(X)|~funny(X))<=>(brave(X)|~calm(X))))&
(![X]:((happy(X)&~tall(X))=>~old(X)))&
(![X]:((~generous(X)|~quiet(X))<=>(patient(X)|~humble(X))))&
(![X]:((~calm(X)&happy(X))=>rich(X)))... | patient(susan) | [
"p5",
"p6",
"p8",
"p9",
"p12",
"p13",
"p14",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8343739906876509358303152
% SZS output start Proof for 8343739906876509358303152
6. ! [X0] : ((~quiet(X0) | ~generous(X0)) <=> (~humble(X0) | patient(X0))) [input p5]
7. ! [X0] : ((happy(X0) & ~calm(X0)) => rich(X0)) [input p6]
9. ! [X0] : ((~happy(X0) & ~quiet(X0)) <=> (~brave(X0) <~> st... | 0 |
If someone is both not tall and kind then lucy is old and vice versa. If mary is curious then fred is either patient or humble. Everyone who is happy is either not curious or quiet and vice versa. Everyone who is both creative and not wise is both calm and not brave and vice versa. Everyone who is either not patient or... | Lucy is not rich. | contradiction | ((?[X]:((~tall(X)&kind(X))))<=>(old(lucy)))&
((curious(mary))=>((patient(fred)<~>humble(fred))))&
(![X]:(happy(X)<=>(~curious(X)<~>quiet(X))))&
(![X]:((creative(X)&~wise(X))<=>(calm(X)&~brave(X))))&
(![X]:((~patient(X)<~>happy(X))<=>humble(X)))&
(![X]:((happy(X)<~>creative(X))<=>(old(X)<~>~wise(X))))&
(![X]:(rich(X)<=>... | ~rich(lucy) | [
"p2",
"p6",
"p8",
"p11",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3730691645328032146395910
% SZS output start Proof for 3730691645328032146395910
3. ! [X0] : (happy(X0) <=> (~curious(X0) <~> quiet(X0))) [input p2]
7. ! [X0] : (rich(X0) <=> (patient(X0) | brave(X0))) [input p6]
9. ! [X0] : ((~curious(X0) | brave(X0)) <=> (curious(X0) <~> ~quiet(X0))) [i... | 0 |
If susan is both not wise and quiet then someone is both not humble and creative.
Everyone who is either not humble or not wise is quiet or kind and vice versa.
If fred is not funny or curious then john is both not curious and quiet.
Everyone who is calm is brave or happy and vice versa.
Everyone who is not happy or cr... | Lucy is rich. | entailment | (((~wise(susan)&quiet(susan)))=>(?[X]:((~humble(X)&creative(X)))))&
(![X]:((~humble(X)<~>~wise(X))<=>(quiet(X)|kind(X))))&
(((~funny(fred)|curious(fred)))=>((~curious(john)&quiet(john))))&
(![X]:(calm(X)<=>(brave(X)|happy(X))))&
(![X]:((~happy(X)|creative(X))<=>(funny(X)<~>creative(X))))&
(![X]:((~happy(X)|~wise(X))<=>... | rich(lucy) | [
"p2",
"p3",
"p4",
"p5",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1020794518266439806326953
% SZS output start Proof for 1020794518266439806326953
3. (curious(fred) | ~funny(fred)) => (quiet(john) & ~curious(john)) [input p2]
4. ! [X0] : (calm(X0) <=> (happy(X0) | brave(X0))) [input p3]
5. ! [X0] : ((creative(X0) | ~happy(X0)) <=> (funny(X0) <~> creativ... | 0 |
Everyone who is not calm or brave is calm and vice versa.
If someone is both not curious and humble then lucy is not wise or rich.
Everyone who is quiet or not calm is not rich.
If fred is rich then someone is old or not kind and vice versa.
Everyone who is both creative and not kind is funny and vice versa.
If fred is... | Fred is wise. | contradiction | (![X]:((~calm(X)|brave(X))<=>calm(X)))&
((?[X]:((~curious(X)&humble(X))))=>((~wise(lucy)|rich(lucy))))&
(![X]:((quiet(X)|~calm(X))=>~rich(X)))&
((rich(fred))<=>(?[X]:((old(X)|~kind(X)))))&
(![X]:((creative(X)&~kind(X))<=>funny(X)))&
(((kind(fred)&~humble(fred)))=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:((~kind(X)|gen... | wise(fred) | [
"p0",
"p3",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2615448199304449993380251
% SZS output start Proof for 2615448199304449993380251
1. ! [X0] : ((brave(X0) | ~calm(X0)) <=> calm(X0)) [input p0]
4. rich(fred) <=> ? [X0] : (~kind(X0) | old(X0)) [input p3]
9. ! [X0] : ((~brave(X0) | ~wise(X0)) <=> (rich(X0) | ~strong(X0))) [input p8]
17. ? [... | 0 |
Everyone who is happy is not creative.
Everyone who is both not strong and not humble is both generous and not brave.
Everyone who is both not humble and funny is either wise or strong and vice versa.
Everyone who is both strong and not patient is kind and vice versa.
If someone is wise or not brave then someone is eit... | Susan is brave. | entailment | (![X]:(happy(X)=>~creative(X)))&
(![X]:((~strong(X)&~humble(X))=>(generous(X)&~brave(X))))&
(![X]:((~humble(X)&funny(X))<=>(wise(X)<~>strong(X))))&
(![X]:((strong(X)&~patient(X))<=>kind(X)))&
((?[X]:((wise(X)|~brave(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
(![X]:((~wise(X)<~>kind(X))=>(happy(X)&tall(X))))&
(![X]:((funny... | brave(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4083091505889982522267222
% SZS output start Proof for 4083091505889982522267222
12. ! [X0] : (~strong(X0) <=> (strong(X0) <~> brave(X0))) [input p11]
22. ~brave(susan) [input hypothesis]
52. ! [X0] : ((~strong(X0) | ((strong(X0) | ~brave(X0)) & (brave(X0) | ~strong(X0)))) & (((~brave(X0)... | 0 |
Everyone who is both not strong and not humble is both funny and curious.
Everyone who is not generous or funny is both not creative and not quiet.
Everyone who is brave or curious is not humble or not tall and vice versa.
Everyone who is not patient is old or happy.
If john is strong or not brave then someone is eithe... | John is old. | neutral | (![X]:((~strong(X)&~humble(X))=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(X)|happy(X))))&
(((strong(john)|~brave(john)))=>(?[X]:((~happy(X)<~>~strong(X)))))&
(![X]:(~quiet(X)=>patient(X)))&
((?[X]... | old(john) | [] | null | 0 |
If paul is either kind or strong then lucy is both quiet and not happy. If someone is calm then someone is strong or humble and vice versa. If someone is both calm and humble then someone is either rich or not quiet. If someone is both kind and not patient then someone is both tall and not old. If someone is not genero... | John is creative. | entailment | (((kind(paul)<~>strong(paul)))=>((quiet(lucy)&~happy(lucy))))&
((?[X]:(calm(X)))<=>(?[X]:((strong(X)|humble(X)))))&
((?[X]:((calm(X)&humble(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
((?[X]:((kind(X)&~patient(X))))=>(?[X]:((tall(X)&~old(X)))))&
((?[X]:((~generous(X)|generous(X))))<=>((rich(fred)<~>~patient(fred))))&
(![X]... | creative(john) | [
"p1",
"p5",
"p7",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5192330697048709442915999
% SZS output start Proof for 5192330697048709442915999
2. ? [X0] : calm(X0) <=> ? [X0] : (humble(X0) | strong(X0)) [input p1]
6. ! [X0] : ((~strong(X0) & ~old(X0)) <=> (strong(X0) | ~rich(X0))) [input p5]
8. ! [X0] : (~humble(X0) <=> (wise(X0) & ~old(X0))) [input... | 0 |
If someone is both not curious and not tall then someone is not strong and vice versa.
Everyone who is either strong or creative is wise and vice versa.
Everyone who is creative is not quiet or generous and vice versa.
Everyone who is not brave or curious is both not rich and not quiet and vice versa.
Everyone who is n... | Alice is kind. | contradiction | ((?[X]:((~curious(X)&~tall(X))))<=>(?[X]:(~strong(X))))&
(![X]:((strong(X)<~>creative(X))<=>wise(X)))&
(![X]:(creative(X)<=>(~quiet(X)|generous(X))))&
(![X]:((~brave(X)|curious(X))<=>(~rich(X)&~quiet(X))))&
(![X]:(~quiet(X)<=>(~creative(X)&kind(X))))&
((?[X]:(rich(X)))<=>(?[X]:((brave(X)&tall(X)))))&
(![X]:((calm(X)|wi... | kind(alice) | [
"p2",
"p3",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1107365183277565140801832
% SZS output start Proof for 1107365183277565140801832
3. ! [X0] : (creative(X0) <=> (generous(X0) | ~quiet(X0))) [input p2]
4. ! [X0] : ((curious(X0) | ~brave(X0)) <=> (~quiet(X0) & ~rich(X0))) [input p3]
5. ! [X0] : (~quiet(X0) <=> (kind(X0) & ~creative(X0))) [... | 0 |
If alice is funny then someone is not kind and vice versa. Everyone who is not kind is both old and not calm and vice versa. Everyone who is not strong is either not funny or happy. Everyone who is both creative and happy is both kind and brave and vice versa. If someone is either not quiet or old then someone is both ... | Lucy is tall. | neutral | ((funny(alice))<=>(?[X]:(~kind(X))))&
(![X]:(~kind(X)<=>(old(X)&~calm(X))))&
(![X]:(~strong(X)=>(~funny(X)<~>happy(X))))&
(![X]:((creative(X)&happy(X))<=>(kind(X)&brave(X))))&
((?[X]:((~quiet(X)<~>old(X))))=>(?[X]:((~old(X)&curious(X)))))&
(((tall(lucy)&~calm(lucy)))=>(?[X]:(~brave(X))))&
(((~old(susan)&patient(susan))... | tall(lucy) | [] | null | 0 |
Everyone who is tall is either creative or not humble.
Everyone who is not kind or not curious is curious and vice versa.
Everyone who is rich is wise or happy and vice versa.
If lucy is both not strong and funny then mary is humble.
If fred is brave or tall then paul is either not wise or not creative and vice versa.
... | Mary is funny. | neutral | (![X]:(tall(X)=>(creative(X)<~>~humble(X))))&
(![X]:((~kind(X)|~curious(X))<=>curious(X)))&
(![X]:(rich(X)<=>(wise(X)|happy(X))))&
(((~strong(lucy)&funny(lucy)))=>(humble(mary)))&
(((brave(fred)|tall(fred)))<=>((~wise(paul)<~>~creative(paul))))&
((?[X]:((tall(X)<~>~wise(X))))<=>(?[X]:((quiet(X)<~>humble(X)))))&
((?[X]:... | funny(mary) | [] | null | 0 |
If someone is both curious and wise then alice is either old or not kind. Everyone who is kind is not brave and vice versa. If someone is creative or curious then someone is both strong and rich and vice versa. If alice is either patient or old then someone is humble or not humble. If someone is both funny and not tall... | Alice is not curious. | neutral | ((?[X]:((curious(X)&wise(X))))=>((old(alice)<~>~kind(alice))))&
(![X]:(kind(X)<=>~brave(X)))&
((?[X]:((creative(X)|curious(X))))<=>(?[X]:((strong(X)&rich(X)))))&
(((patient(alice)<~>old(alice)))=>(?[X]:((humble(X)|~humble(X)))))&
((?[X]:((funny(X)&~tall(X))))=>((generous(lucy)&curious(lucy))))&
(![X]:((calm(X)<~>~happy... | ~curious(alice) | [] | null | 0 |
If john is either funny or tall then mary is both generous and tall and vice versa. Everyone who is both not kind and rich is either not calm or tall. If someone is humble then john is both brave and not strong. If someone is humble or not quiet then fred is tall. If someone is happy or not calm then lucy is both rich ... | Lucy is rich. | entailment | (((funny(john)<~>tall(john)))<=>((generous(mary)&tall(mary))))&
(![X]:((~kind(X)&rich(X))=>(~calm(X)<~>tall(X))))&
((?[X]:(humble(X)))=>((brave(john)&~strong(john))))&
((?[X]:((humble(X)|~quiet(X))))=>(tall(fred)))&
((?[X]:((happy(X)|~calm(X))))=>((rich(lucy)&~kind(lucy))))&
((quiet(lucy))<=>((patient(alice)|~calm(alic... | rich(lucy) | [
"p4",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4573945083164007928368537
% SZS output start Proof for 4573945083164007928368537
5. ? [X0] : (~calm(X0) | happy(X0)) => (~kind(lucy) & rich(lucy)) [input p4]
8. ! [X0] : (~wise(X0) => (~strong(X0) & ~calm(X0))) [input p7]
12. ! [X0] : ((~creative(X0) <~> creative(X0)) => (calm(X0) <~> wis... | 0 |
If susan is either not patient or not funny then paul is both not strong and not calm and vice versa.
If someone is either not happy or strong then someone is generous or not quiet and vice versa.
Everyone who is either not patient or not calm is not curious or calm and vice versa.
If alice is happy then alice is both ... | Susan is not patient. | entailment | (((~patient(susan)<~>~funny(susan)))<=>((~strong(paul)&~calm(paul))))&
((?[X]:((~happy(X)<~>strong(X))))<=>(?[X]:((generous(X)|~quiet(X)))))&
(![X]:((~patient(X)<~>~calm(X))<=>(~curious(X)|calm(X))))&
((happy(alice))<=>((strong(alice)&~quiet(alice))))&
(![X]:((humble(X)&~rich(X))=>(~old(X)<~>~humble(X))))&
((?[X]:((gen... | ~patient(susan) | [
"p2",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2906357971685808786534920
% SZS output start Proof for 2906357971685808786534920
3. ! [X0] : ((~patient(X0) <~> ~calm(X0)) <=> (calm(X0) | ~curious(X0))) [input p2]
8. ! [X0] : ((generous(X0) <~> ~calm(X0)) => ~patient(X0)) [input p7]
9. ! [X0] : ((funny(X0) | patient(X0)) <=> ~generous(X... | 0 |
If someone is either not wise or calm then someone is patient or curious. Everyone who is not calm or not tall is either rich or not patient and vice versa. If someone is not kind then someone is both creative and not creative and vice versa. Everyone who is wise or rich is not strong or not creative. If mary is either... | Alice is not quiet. | entailment | ((?[X]:((~wise(X)<~>calm(X))))=>(?[X]:((patient(X)|curious(X)))))&
(![X]:((~calm(X)|~tall(X))<=>(rich(X)<~>~patient(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((creative(X)&~creative(X)))))&
(![X]:((wise(X)|rich(X))=>(~strong(X)|~creative(X))))&
(((kind(mary)<~>~calm(mary)))=>(creative(lucy)))&
((?[X]:((~funny(X)|~wise(X))))=>(... | ~quiet(alice) | [
"p1",
"p3",
"p6",
"p8",
"p11",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5686148026277183794224046
% SZS output start Proof for 5686148026277183794224046
2. ! [X0] : ((~tall(X0) | ~calm(X0)) <=> (rich(X0) <~> ~patient(X0))) [input p1]
4. ! [X0] : ((rich(X0) | wise(X0)) => (~creative(X0) | ~strong(X0))) [input p3]
7. ! [X0] : ((~patient(X0) | happy(X0)) <=> (~g... | 0 |
Everyone who is either humble or not creative is not brave or generous.
If someone is not old then john is calm or strong.
Everyone who is not strong or curious is not generous or not kind and vice versa.
Everyone who is strong is calm.
Everyone who is either funny or generous is both not rich and not generous and vice... | Alice is wise. | contradiction | (![X]:((humble(X)<~>~creative(X))=>(~brave(X)|generous(X))))&
((?[X]:(~old(X)))=>((calm(john)|strong(john))))&
(![X]:((~strong(X)|curious(X))<=>(~generous(X)|~kind(X))))&
(![X]:(strong(X)=>calm(X)))&
(![X]:((funny(X)<~>generous(X))<=>(~rich(X)&~generous(X))))&
(((generous(susan)&happy(susan)))<=>(?[X]:((~old(X)<~>patie... | wise(alice) | [
"p0",
"p3",
"p4",
"p6",
"p8",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8137885142135953069615600
% SZS output start Proof for 8137885142135953069615600
1. ! [X0] : ((humble(X0) <~> ~creative(X0)) => (generous(X0) | ~brave(X0))) [input p0]
4. ! [X0] : (strong(X0) => calm(X0)) [input p3]
5. ! [X0] : ((funny(X0) <~> generous(X0)) <=> (~generous(X0) & ~rich(X0))... | 0 |
If alice is both strong and kind then alice is either calm or happy.
Everyone who is generous is generous or patient.
Everyone who is both not strong and not creative is quiet or happy and vice versa.
If someone is both tall and humble then susan is either not calm or not strong and vice versa.
If someone is either pat... | Susan is wise. | contradiction | (((strong(alice)&kind(alice)))=>((calm(alice)<~>happy(alice))))&
(![X]:(generous(X)=>(generous(X)|patient(X))))&
(![X]:((~strong(X)&~creative(X))<=>(quiet(X)|happy(X))))&
((?[X]:((tall(X)&humble(X))))<=>((~calm(susan)<~>~strong(susan))))&
((?[X]:((patient(X)<~>~humble(X))))<=>(?[X]:(patient(X))))&
(((~calm(alice)&~humb... | wise(susan) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 55004374415636875168355
% SZS output start Proof for 55004374415636875168355
13. ! [X0] : ((wise(X0) | ~tall(X0)) => (calm(X0) & strong(X0))) [input p12]
14. ! [X0] : ((calm(X0) <~> ~strong(X0)) => (~calm(X0) & ~wise(X0))) [input p13]
22. wise(susan) [input hypothesis]
33. ! [X0] : ((calm... | 0 |
If someone is both not wise and not patient then john is patient or generous and vice versa.
If john is not humble or strong then john is quiet or not patient and vice versa.
If fred is both humble and not curious then someone is either not happy or brave.
If fred is both not happy and happy then paul is not tall.
Ever... | John is humble. | neutral | ((?[X]:((~wise(X)&~patient(X))))<=>((patient(john)|generous(john))))&
(((~humble(john)|strong(john)))<=>((quiet(john)|~patient(john))))&
(((humble(fred)&~curious(fred)))=>(?[X]:((~happy(X)<~>brave(X)))))&
(((~happy(fred)&happy(fred)))=>(~tall(paul)))&
(![X]:((~happy(X)<~>~generous(X))=>calm(X)))&
(((~tall(susan)&~kind(... | humble(john) | [] | null | 0 |
If paul is both not creative and kind then susan is both happy and not tall.
Everyone who is not quiet or old is not patient or calm and vice versa.
If someone is not creative then paul 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 v... | Paul is patient. | neutral | (((~creative(paul)&kind(paul)))=>((happy(susan)&~tall(susan))))&
(![X]:((~quiet(X)|old(X))<=>(~patient(X)|calm(X))))&
((?[X]:(~creative(X)))<=>(old(paul)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)<=>(creative(X)|happy(X))))&
(![X]:(funny(X)<=>(~creative(X)&generous(X))))&
(((tall(paul)<~>~c... | patient(paul) | [] | null | 0 |
Everyone who is not wise is not kind or curious and vice versa.
If someone is either not patient or not strong then fred is brave or calm and vice versa.
Everyone who is not quiet is not patient or funny.
If susan is not kind then someone is not rich.
If someone is both happy and not creative then someone is either not... | Alice is funny. | contradiction | (![X]:(~wise(X)<=>(~kind(X)|curious(X))))&
((?[X]:((~patient(X)<~>~strong(X))))<=>((brave(fred)|calm(fred))))&
(![X]:(~quiet(X)=>(~patient(X)|funny(X))))&
((~kind(susan))=>(?[X]:(~rich(X))))&
((?[X]:((happy(X)&~creative(X))))=>(?[X]:((~patient(X)<~>tall(X)))))&
(![X]:(~patient(X)=>(brave(X)|~rich(X))))&
((?[X]:(humble(... | funny(alice) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8091814578097741669338988
% SZS output start Proof for 8091814578097741669338988
22. ~curious(alice) & ~funny(alice) [input p21]
25. funny(alice) [input hypothesis]
125. ~funny(alice) [cnf transformation 22]
130. funny(alice) [cnf transformation 25]
294. $false [subsumption resolution 130... | 0 |
If someone is strong then someone is not happy or not rich.
If alice is kind or not curious then someone is not quiet or not strong and vice versa.
Everyone who is both tall and funny is not curious or rich and vice versa.
If someone is not generous or strong then mary is both strong and not humble.
If someone is both ... | Alice is not curious. | contradiction | ((?[X]:(strong(X)))=>(?[X]:((~happy(X)|~rich(X)))))&
(((kind(alice)|~curious(alice)))<=>(?[X]:((~quiet(X)|~strong(X)))))&
(![X]:((tall(X)&funny(X))<=>(~curious(X)|rich(X))))&
((?[X]:((~generous(X)|strong(X))))=>((strong(mary)&~humble(mary))))&
((?[X]:((creative(X)&~calm(X))))=>((patient(fred)|~strong(fred))))&
(![X]:((... | ~curious(alice) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1649271813740300312576101
% SZS output start Proof for 1649271813740300312576101
3. ! [X0] : ((funny(X0) & tall(X0)) <=> (rich(X0) | ~curious(X0))) [input p2]
14. ! [X0] : ((~kind(X0) | kind(X0)) => (~tall(X0) & funny(X0))) [input p13]
23. ~curious(alice) [input hypothesis]
34. ! [X0] : (... | 0 |
Everyone who is either happy or calm is both not happy and not funny.
If someone is old or not brave then paul is not funny and vice versa.
If paul is not strong or curious then mary is either not kind or creative and vice versa.
Everyone who is either not generous or not rich is either happy or rich.
Everyone who is b... | Lucy is generous. | neutral | (![X]:((happy(X)<~>calm(X))=>(~happy(X)&~funny(X))))&
((?[X]:((old(X)|~brave(X))))<=>(~funny(paul)))&
(((~strong(paul)|curious(paul)))<=>((~kind(mary)<~>creative(mary))))&
(![X]:((~generous(X)<~>~rich(X))=>(happy(X)<~>rich(X))))&
(![X]:((~strong(X)&~patient(X))<=>quiet(X)))&
((?[X]:((brave(X)&~rich(X))))<=>(?[X]:((~str... | generous(lucy) | [] | null | 0 |
Everyone who is both funny and not patient is creative or not brave and vice versa.
If someone is both kind and happy then susan is not strong or not rich.
If someone is quiet or not old then paul is not kind.
Everyone who is not strong or not curious is not funny.
Everyone who is either curious or not tall is creative... | Lucy is tall. | entailment | (![X]:((funny(X)&~patient(X))<=>(creative(X)|~brave(X))))&
((?[X]:((kind(X)&happy(X))))=>((~strong(susan)|~rich(susan))))&
((?[X]:((quiet(X)|~old(X))))=>(~kind(paul)))&
(![X]:((~strong(X)|~curious(X))=>~funny(X)))&
(![X]:((curious(X)<~>~tall(X))<=>creative(X)))&
(((~funny(john)|brave(john)))=>((tall(fred)&~old(fred))))... | tall(lucy) | [
"p0",
"p3",
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6766106616899524072103949
% SZS output start Proof for 6766106616899524072103949
1. ! [X0] : ((~patient(X0) & funny(X0)) <=> (~brave(X0) | creative(X0))) [input p0]
4. ! [X0] : ((~curious(X0) | ~strong(X0)) => ~funny(X0)) [input p3]
5. ! [X0] : ((curious(X0) <~> ~tall(X0)) <=> creative(X0... | 0 |
Everyone who is both not humble and not curious is either humble or funny.
If mary is strong then someone is old or not strong and vice versa.
Everyone who is old or generous is not happy and vice versa.
If someone is not wise or not happy then lucy is old or not creative.
Everyone who is either not happy or not calm i... | Lucy is quiet. | contradiction | (![X]:((~humble(X)&~curious(X))=>(humble(X)<~>funny(X))))&
((strong(mary))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((old(X)|generous(X))<=>~happy(X)))&
((?[X]:((~wise(X)|~happy(X))))=>((old(lucy)|~creative(lucy))))&
(![X]:((~happy(X)<~>~calm(X))<=>~creative(X)))&
(![X]:(~old(X)=>(~wise(X)<~>wise(X))))&
(![X]:((curious(X... | quiet(lucy) | [
"p7",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2919183063606555506464039
% SZS output start Proof for 2919183063606555506464039
8. ? [X0] : (wise(X0) <~> ~quiet(X0)) <=> (kind(john) & strong(john)) [input p7]
10. ! [X0] : (wise(X0) <=> (~curious(X0) | curious(X0))) [input p9]
24. ~kind(john) & ~strong(john) [input p23]
25. quiet(lucy)... | 0 |
Everyone who is either strong or not curious is either creative or strong. Everyone who is calm or not old is either brave or not brave. Everyone who is not patient or not rich is not generous or curious. Everyone who is either not happy or humble is quiet or happy and vice versa. If someone is both creative and not cr... | Paul is not quiet. | neutral | (![X]:((strong(X)<~>~curious(X))=>(creative(X)<~>strong(X))))&
(![X]:((calm(X)|~old(X))=>(brave(X)<~>~brave(X))))&
(![X]:((~patient(X)|~rich(X))=>(~generous(X)|curious(X))))&
(![X]:((~happy(X)<~>humble(X))<=>(quiet(X)|happy(X))))&
((?[X]:((creative(X)&~creative(X))))=>(old(john)))&
((?[X]:((humble(X)&funny(X))))<=>(?[X... | ~quiet(paul) | [] | null | 0 |
If fred is both not calm and curious then fred is both not tall and not generous.
Everyone who is tall or not wise is both quiet and not happy.
If paul is both not creative and generous then someone is curious or not rich.
Everyone who is not calm or not wise is not happy or patient.
Everyone who is both happy and not ... | Paul is not curious. | contradiction | (((~calm(fred)&curious(fred)))=>((~tall(fred)&~generous(fred))))&
(![X]:((tall(X)|~wise(X))=>(quiet(X)&~happy(X))))&
(((~creative(paul)&generous(paul)))=>(?[X]:((curious(X)|~rich(X)))))&
(![X]:((~calm(X)|~wise(X))=>(~happy(X)|patient(X))))&
(![X]:((happy(X)&~wise(X))<=>(~curious(X)<~>~patient(X))))&
((~funny(fred))=>((... | ~curious(paul) | [
"p1",
"p4",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6251008488639189198487271
% SZS output start Proof for 6251008488639189198487271
2. ! [X0] : ((~wise(X0) | tall(X0)) => (~happy(X0) & quiet(X0))) [input p1]
5. ! [X0] : ((~wise(X0) & happy(X0)) <=> (~curious(X0) <~> ~patient(X0))) [input p4]
8. ! [X0] : ((tall(X0) | strong(X0)) <=> (~stro... | 0 |
Everyone who is either not old or old is either happy or rich.
Everyone who is both brave and not strong is not calm or curious and vice versa.
If lucy is humble or generous then someone is not generous or creative.
If john is both not rich and kind then someone is both strong and not kind and vice versa.
If someone is... | Mary is not calm. | contradiction | (![X]:((~old(X)<~>old(X))=>(happy(X)<~>rich(X))))&
(![X]:((brave(X)&~strong(X))<=>(~calm(X)|curious(X))))&
(((humble(lucy)|generous(lucy)))=>(?[X]:((~generous(X)|creative(X)))))&
(((~rich(john)&kind(john)))<=>(?[X]:((strong(X)&~kind(X)))))&
((?[X]:(~calm(X)))<=>((wise(paul)<~>~rich(paul))))&
(![X]:((~patient(X)|old(X))... | ~calm(mary) | [
"p1",
"p5",
"p11",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3892709342088274552663845
% SZS output start Proof for 3892709342088274552663845
2. ! [X0] : ((~strong(X0) & brave(X0)) <=> (curious(X0) | ~calm(X0))) [input p1]
6. ! [X0] : ((old(X0) | ~patient(X0)) <=> (patient(X0) <~> strong(X0))) [input p5]
12. ! [X0] : ((~quiet(X0) <~> calm(X0)) => ~... | 0 |
Everyone who is both not creative and patient is either not strong or rich and vice versa. Everyone who is both not curious and not calm is either creative or not humble and vice versa. If someone is wise or rich then alice is tall or creative and vice versa. If alice is not humble or not creative then someone is eithe... | Lucy is rich. | contradiction | (![X]:((~creative(X)&patient(X))<=>(~strong(X)<~>rich(X))))&
(![X]:((~curious(X)&~calm(X))<=>(creative(X)<~>~humble(X))))&
((?[X]:((wise(X)|rich(X))))<=>((tall(alice)|creative(alice))))&
(((~humble(alice)|~creative(alice)))=>(?[X]:((quiet(X)<~>~strong(X)))))&
(![X]:(happy(X)<=>(~humble(X)|~old(X))))&
(![X]:((curious(X)... | rich(lucy) | [
"p1",
"p2",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5692713642044064933398398
% SZS output start Proof for 5692713642044064933398398
2. ! [X0] : ((~calm(X0) & ~curious(X0)) <=> (creative(X0) <~> ~humble(X0))) [input p1]
3. ? [X0] : (rich(X0) | wise(X0)) <=> (creative(alice) | tall(alice)) [input p2]
10. ! [X0] : ((~humble(X0) <~> kind(X0))... | 0 |
If paul is not tall then lucy is not strong and vice versa. If someone is not generous or humble then someone is both happy and not rich and vice versa. Everyone who is not old is either not funny or generous. Everyone who is happy is both not old and not patient and vice versa. Everyone who is both not creative and ol... | Lucy is not curious. | contradiction | ((~tall(paul))<=>(~strong(lucy)))&
((?[X]:((~generous(X)|humble(X))))<=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:(~old(X)=>(~funny(X)<~>generous(X))))&
(![X]:(happy(X)<=>(~old(X)&~patient(X))))&
(![X]:((~creative(X)&old(X))<=>(~patient(X)<~>~old(X))))&
(![X]:((tall(X)<~>~funny(X))=>(calm(X)<~>old(X))))&
(![X]:((~curious(X)... | ~curious(lucy) | [
"p4",
"p6",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8375094573608920272589119
% SZS output start Proof for 8375094573608920272589119
5. ! [X0] : ((old(X0) & ~creative(X0)) <=> (~patient(X0) <~> ~old(X0))) [input p4]
7. ! [X0] : ((wise(X0) | ~curious(X0)) => (~creative(X0) & generous(X0))) [input p6]
11. ! [X0] : ((creative(X0) | ~rich(X0))... | 0 |
Everyone who is not rich is not funny or not curious. If alice is quiet or generous then someone is not generous or not rich and vice versa. Everyone who is both not brave and curious is kind and vice versa. Everyone who is both not curious and patient is either funny or rich. Everyone who is both happy and not patient... | Fred is not creative. | entailment | (![X]:(~rich(X)=>(~funny(X)|~curious(X))))&
(((quiet(alice)|generous(alice)))<=>(?[X]:((~generous(X)|~rich(X)))))&
(![X]:((~brave(X)&curious(X))<=>kind(X)))&
(![X]:((~curious(X)&patient(X))=>(funny(X)<~>rich(X))))&
(![X]:((happy(X)&~patient(X))=>(happy(X)<~>kind(X))))&
(![X]:((~patient(X)|~humble(X))<=>patient(X)))&
(!... | ~creative(fred) | [
"p5",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8197271312203945645409929
% SZS output start Proof for 8197271312203945645409929
6. ! [X0] : ((~humble(X0) | ~patient(X0)) <=> patient(X0)) [input p5]
7. ! [X0] : ((~strong(X0) | wise(X0)) <=> ~patient(X0)) [input p6]
8. ! [X0] : ((~wise(X0) | happy(X0)) <=> tall(X0)) [input p7]
14. ! [X0... | 0 |
Everyone who is not happy is not curious and vice versa.
Everyone who is both funny and strong is either patient or generous and vice versa.
Everyone who is both strong and not kind is either brave or kind.
If paul is both not funny and kind then john is either strong or quiet.
If someone is either rich or generous the... | Mary is patient. | entailment | (![X]:(~happy(X)<=>~curious(X)))&
(![X]:((funny(X)&strong(X))<=>(patient(X)<~>generous(X))))&
(![X]:((strong(X)&~kind(X))=>(brave(X)<~>kind(X))))&
(((~funny(paul)&kind(paul)))=>((strong(john)<~>quiet(john))))&
((?[X]:((rich(X)<~>generous(X))))<=>(?[X]:(rich(X))))&
(![X]:(strong(X)=>(~strong(X)&~generous(X))))&
(![X]:((... | patient(mary) | [
"p7",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5540873475809128738771091
% SZS output start Proof for 5540873475809128738771091
8. ! [X0] : ((~patient(X0) & rich(X0)) => ~funny(X0)) [input p7]
9. ! [X0] : ((~curious(X0) & kind(X0)) <=> ~funny(X0)) [input p8]
11. ! [X0] : ((creative(X0) & ~curious(X0)) <=> (creative(X0) <~> ~patient(X0... | 0 |
If someone is kind or not generous then someone is both curious and rich.
If alice is wise then fred is either curious or brave.
If someone is quiet or curious then alice is either not funny or brave.
Everyone who is both tall and brave is both kind and strong and vice versa.
If someone is not brave then someone is bra... | Alice is not curious. | neutral | ((?[X]:((kind(X)|~generous(X))))=>(?[X]:((curious(X)&rich(X)))))&
((wise(alice))=>((curious(fred)<~>brave(fred))))&
((?[X]:((quiet(X)|curious(X))))=>((~funny(alice)<~>brave(alice))))&
(![X]:((tall(X)&brave(X))<=>(kind(X)&strong(X))))&
((?[X]:(~brave(X)))=>(?[X]:((brave(X)|old(X)))))&
(![X]:((~strong(X)|~brave(X))=>(wis... | ~curious(alice) | [] | null | 0 |
If paul is both not humble and patient then someone is either patient or not wise. If paul is either not kind or not curious then lucy is humble or not curious. Everyone who is both wise and not patient is not generous and vice versa. Everyone who is not old or happy is creative and vice versa. If someone is both not k... | Mary is rich. | entailment | (((~humble(paul)&patient(paul)))=>(?[X]:((patient(X)<~>~wise(X)))))&
(((~kind(paul)<~>~curious(paul)))=>((humble(lucy)|~curious(lucy))))&
(![X]:((wise(X)&~patient(X))<=>~generous(X)))&
(![X]:((~old(X)|happy(X))<=>creative(X)))&
((?[X]:((~kind(X)&wise(X))))=>(?[X]:((~happy(X)&generous(X)))))&
(![X]:((~old(X)|~funny(X))=... | rich(mary) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3540448730065852491438228
% SZS output start Proof for 3540448730065852491438228
14. ! [X0] : ((~kind(X0) <~> kind(X0)) => (quiet(X0) & rich(X0))) [input p13]
20. ~rich(mary) [input hypothesis]
31. ! [X0] : ((quiet(X0) & rich(X0)) | (~kind(X0) <=> kind(X0))) [ennf transformation 14]
66. !... | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa.
Everyone who is not kind or not funny is either wise or not funny and vice versa.
Everyone who is either quiet or not kind is quiet or kind.
If alice is not patient then mary is either creative or not brave.
Everyone who is both t... | Lucy is not creative. | contradiction | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((quiet(X)<~>~kind(X))=>(quiet(X)|kind(X))))&
((~patient(alice))=>((creative(mary)<~>~brave(mary))))&
(![X]:((tall(X)&strong(X))<=>(brave(X)&generous(X))))&
(![X]:((funny(X)|~wise(X))<=>(tall(X)&rich(X))))... | ~creative(lucy) | [
"p4",
"p5",
"p6",
"p7",
"p8",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4354676050130432775470676
% SZS output start Proof for 4354676050130432775470676
5. ! [X0] : ((strong(X0) & tall(X0)) <=> (generous(X0) & brave(X0))) [input p4]
6. ! [X0] : ((~wise(X0) | funny(X0)) <=> (rich(X0) & tall(X0))) [input p5]
7. ! [X0] : ((~patient(X0) | happy(X0)) => patient(X0... | 0 |
If john is either wise or not funny then mary is not creative and vice versa.
Everyone who is either calm or not rich is not old.
If someone is both not funny and not patient then someone is not kind or tall.
If someone is either funny or wise then someone is either not kind or not strong.
Everyone who is curious is no... | Lucy is wise. | entailment | (((wise(john)<~>~funny(john)))<=>(~creative(mary)))&
(![X]:((calm(X)<~>~rich(X))=>~old(X)))&
((?[X]:((~funny(X)&~patient(X))))=>(?[X]:((~kind(X)|tall(X)))))&
((?[X]:((funny(X)<~>wise(X))))=>(?[X]:((~kind(X)<~>~strong(X)))))&
(![X]:(curious(X)<=>(~funny(X)|tall(X))))&
(![X]:((curious(X)|~calm(X))=>(wise(X)&creative(X)))... | wise(lucy) | [
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6619642715354458844281364
% SZS output start Proof for 6619642715354458844281364
5. ! [X0] : (curious(X0) <=> (tall(X0) | ~funny(X0))) [input p4]
6. ! [X0] : ((~calm(X0) | curious(X0)) => (creative(X0) & wise(X0))) [input p5]
9. ! [X0] : ((funny(X0) | ~generous(X0)) <=> (~tall(X0) & curio... | 0 |
If someone is tall or calm then john is both brave and kind.
Everyone who is not brave or not patient is funny or quiet and vice versa.
Everyone who is old or not happy is creative or calm.
If someone is either not brave or quiet then mary is both curious and humble and vice versa.
Everyone who is either calm or kind i... | John is not brave. | contradiction | ((?[X]:((tall(X)|calm(X))))=>((brave(john)&kind(john))))&
(![X]:((~brave(X)|~patient(X))<=>(funny(X)|quiet(X))))&
(![X]:((old(X)|~happy(X))=>(creative(X)|calm(X))))&
((?[X]:((~brave(X)<~>quiet(X))))<=>((curious(mary)&humble(mary))))&
(![X]:((calm(X)<~>kind(X))<=>(~generous(X)|~kind(X))))&
(![X]:((~calm(X)|happy(X))<=>(... | ~brave(john) | [
"p0",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 469600728966310377363485
% SZS output start Proof for 469600728966310377363485
1. ? [X0] : (calm(X0) | tall(X0)) => (kind(john) & brave(john)) [input p0]
19. ~tall(fred) <~> ~calm(fred) [input p18]
25. ~brave(john) [input hypothesis]
26. (kind(john) & brave(john)) | ! [X0] : (~calm(X0) & ... | 0 |
If someone is both not happy and patient then someone is both rich and old and vice versa. Everyone who is both kind and not wise is either quiet or creative and vice versa. Everyone who is strong is both patient and not happy and vice versa. Everyone who is not funny is both not humble and not curious and vice versa. ... | Fred is funny. | entailment | ((?[X]:((~happy(X)&patient(X))))<=>(?[X]:((rich(X)&old(X)))))&
(![X]:((kind(X)&~wise(X))<=>(quiet(X)<~>creative(X))))&
(![X]:(strong(X)<=>(patient(X)&~happy(X))))&
(![X]:(~funny(X)<=>(~humble(X)&~curious(X))))&
(![X]:(funny(X)<=>(~quiet(X)|creative(X))))&
(![X]:((funny(X)<~>~creative(X))=>(generous(X)|kind(X))))&
(![X]... | funny(fred) | [
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9002063664968226287107680
% SZS output start Proof for 9002063664968226287107680
5. ! [X0] : (funny(X0) <=> (creative(X0) | ~quiet(X0))) [input p4]
8. ! [X0] : ((~calm(X0) | rich(X0)) => ~patient(X0)) [input p7]
10. ! [X0] : ((~rich(X0) | ~patient(X0)) => (~quiet(X0) & ~wise(X0))) [input ... | 0 |
If someone is both brave and not creative then paul is not funny or not quiet and vice versa. Everyone who is humble or not kind is both not funny and brave and vice versa. Everyone who is rich or not humble is both happy and old. If lucy is curious or wise then someone is either not tall or not brave and vice versa. I... | John is generous. | neutral | ((?[X]:((brave(X)&~creative(X))))<=>((~funny(paul)|~quiet(paul))))&
(![X]:((humble(X)|~kind(X))<=>(~funny(X)&brave(X))))&
(![X]:((rich(X)|~humble(X))=>(happy(X)&old(X))))&
(((curious(lucy)|wise(lucy)))<=>(?[X]:((~tall(X)<~>~brave(X)))))&
((?[X]:((old(X)|~strong(X))))=>(?[X]:((generous(X)<~>humble(X)))))&
(![X]:((~quiet... | generous(john) | [] | null | 0 |
Everyone who is curious is strong. Everyone who is not old is either not funny or not tall and vice versa. Everyone who is not generous is not strong and vice versa. Everyone who is not funny is both not wise and not happy. If alice is either not creative or not strong then mary is strong or tall. If someone is either ... | Lucy is generous. | contradiction | (![X]:(curious(X)=>strong(X)))&
(![X]:(~old(X)<=>(~funny(X)<~>~tall(X))))&
(![X]:(~generous(X)<=>~strong(X)))&
(![X]:(~funny(X)=>(~wise(X)&~happy(X))))&
(((~creative(alice)<~>~strong(alice)))=>((strong(mary)|tall(mary))))&
((?[X]:((calm(X)<~>~old(X))))=>(~generous(john)))&
(![X]:((kind(X)|~old(X))=>(tall(X)<~>calm(X)))... | generous(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3441149166446048173501630
% SZS output start Proof for 3441149166446048173501630
18. ~curious(lucy) & ~generous(lucy) [input p17]
23. generous(lucy) [input hypothesis]
101. ~generous(lucy) [cnf transformation 18]
108. generous(lucy) [cnf transformation 23]
197. $false [subsumption resolut... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.