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 either tall or old is both creative and not wise.
Everyone who is either not brave or not quiet is wise.
If susan is not wise or not generous then someone is both not creative and not generous.
Everyone who is calm is funny or strong and vice versa.
If mary is both not kind and humble then paul is humbl... | Alice is not tall. | neutral | (![X]:((tall(X)<~>old(X))=>(creative(X)&~wise(X))))&
(![X]:((~brave(X)<~>~quiet(X))=>wise(X)))&
(((~wise(susan)|~generous(susan)))=>(?[X]:((~creative(X)&~generous(X)))))&
(![X]:(calm(X)<=>(funny(X)|strong(X))))&
(((~kind(mary)&humble(mary)))=>(humble(paul)))&
(![X]:((patient(X)&brave(X))<=>(brave(X)<~>patient(X))))&
((... | ~tall(alice) | [] | null | 0 |
Everyone who is both tall and not tall is not curious or not old.
Everyone who is either funny or not happy is patient.
If someone is humble then john is either old or curious.
Everyone who is kind is not rich.
Everyone who is not old or not kind is rich or not humble and vice versa.
Everyone who is patient is both cre... | John is creative. | neutral | (![X]:((tall(X)&~tall(X))=>(~curious(X)|~old(X))))&
(![X]:((funny(X)<~>~happy(X))=>patient(X)))&
((?[X]:(humble(X)))=>((old(john)<~>curious(john))))&
(![X]:(kind(X)=>~rich(X)))&
(![X]:((~old(X)|~kind(X))<=>(rich(X)|~humble(X))))&
(![X]:(patient(X)<=>(creative(X)&patient(X))))&
((~generous(fred))=>(?[X]:(~kind(X))))&
(!... | creative(john) | [] | null | 0 |
Everyone who is not funny is both calm and funny and vice versa.
If someone is either not patient or quiet then susan is curious and vice versa.
If fred is strong then susan is not curious or not humble and vice versa.
Everyone who is either not happy or curious is calm and vice versa.
Everyone who is not strong or not... | Lucy is not kind. | neutral | (![X]:(~funny(X)<=>(calm(X)&funny(X))))&
((?[X]:((~patient(X)<~>quiet(X))))<=>(curious(susan)))&
((strong(fred))<=>((~curious(susan)|~humble(susan))))&
(![X]:((~happy(X)<~>curious(X))<=>calm(X)))&
(![X]:((~strong(X)|~quiet(X))=>(~brave(X)|~kind(X))))&
(![X]:((~rich(X)&old(X))=>(patient(X)<~>happy(X))))&
(![X]:((old(X)|... | ~kind(lucy) | [] | null | 0 |
Everyone who is both not funny and creative is both calm and not tall and vice versa. If susan is either not curious or not old then someone is brave and vice versa. Everyone who is humble or curious is both not calm and strong and vice versa. If someone is either patient or not funny then susan is either rich or creat... | Alice is not humble. | contradiction | (![X]:((~funny(X)&creative(X))<=>(calm(X)&~tall(X))))&
(((~curious(susan)<~>~old(susan)))<=>(?[X]:(brave(X))))&
(![X]:((humble(X)|curious(X))<=>(~calm(X)&strong(X))))&
((?[X]:((patient(X)<~>~funny(X))))<=>((rich(susan)<~>creative(susan))))&
(((creative(fred)<~>~calm(fred)))<=>((~wise(paul)&generous(paul))))&
(![X]:((~q... | ~humble(alice) | [
"p6",
"p7",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4057836389430842671520380
% SZS output start Proof for 4057836389430842671520380
7. ! [X0] : ((brave(X0) | ~funny(X0)) => (generous(X0) <~> happy(X0))) [input p6]
8. ! [X0] : (~happy(X0) => (~wise(X0) <~> ~generous(X0))) [input p7]
14. ! [X0] : ((funny(X0) & wise(X0)) <=> (~humble(X0) & ~... | 0 |
Everyone who is not kind or patient is tall or funny and vice versa.
Everyone who is either strong or tall is both not old and not funny and vice versa.
Everyone who is not strong or not creative is funny or not kind and vice versa.
If paul is either happy or not tall then someone is humble.
Everyone who is either not ... | Lucy is not strong. | contradiction | (![X]:((~kind(X)|patient(X))<=>(tall(X)|funny(X))))&
(![X]:((strong(X)<~>tall(X))<=>(~old(X)&~funny(X))))&
(![X]:((~strong(X)|~creative(X))<=>(funny(X)|~kind(X))))&
(((happy(paul)<~>~tall(paul)))=>(?[X]:(humble(X))))&
(![X]:((~old(X)<~>funny(X))<=>~old(X)))&
(![X]:(~generous(X)<=>(~generous(X)|~patient(X))))&
(![X]:((~... | ~strong(lucy) | [
"p0",
"p2",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8916170469224334956587995
% SZS output start Proof for 8916170469224334956587995
1. ! [X0] : ((patient(X0) | ~kind(X0)) <=> (funny(X0) | tall(X0))) [input p0]
3. ! [X0] : ((~creative(X0) | ~strong(X0)) <=> (~kind(X0) | funny(X0))) [input p2]
5. ! [X0] : ((~old(X0) <~> funny(X0)) <=> ~old(... | 0 |
If alice is curious then someone is not curious and vice versa. Everyone who is curious is not wise or happy. Everyone who is either not quiet or rich is both rich and happy. Everyone who is either not curious or not calm is brave and vice versa. Everyone who is not rich is either curious or happy. Everyone who is not ... | Fred is tall. | entailment | ((curious(alice))<=>(?[X]:(~curious(X))))&
(![X]:(curious(X)=>(~wise(X)|happy(X))))&
(![X]:((~quiet(X)<~>rich(X))=>(rich(X)&happy(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>brave(X)))&
(![X]:(~rich(X)=>(curious(X)<~>happy(X))))&
(![X]:((~old(X)|kind(X))=>(patient(X)&old(X))))&
((?[X]:(~old(X)))<=>(?[X]:(~tall(X))))&
(((c... | tall(fred) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2682599802275805341697259
% SZS output start Proof for 2682599802275805341697259
6. ! [X0] : ((kind(X0) | ~old(X0)) => (old(X0) & patient(X0))) [input p5]
7. ? [X0] : ~old(X0) <=> ? [X0] : ~tall(X0) [input p6]
24. ~tall(fred) [input hypothesis]
25. ? [X0] : ~old(X0) <=> ? [X1] : ~tall(X1)... | 0 |
Everyone who is rich is curious.
Everyone who is wise is either not brave or tall and vice versa.
If someone is both not creative and strong then someone is both wise and calm.
Everyone who is both not kind and kind is funny or not patient and vice versa.
Everyone who is either not curious or quiet is both old and crea... | Susan is old. | entailment | (![X]:(rich(X)=>curious(X)))&
(![X]:(wise(X)<=>(~brave(X)<~>tall(X))))&
((?[X]:((~creative(X)&strong(X))))=>(?[X]:((wise(X)&calm(X)))))&
(![X]:((~kind(X)&kind(X))<=>(funny(X)|~patient(X))))&
(![X]:((~curious(X)<~>quiet(X))=>(old(X)&creative(X))))&
(((~patient(fred)|~quiet(fred)))<=>((~kind(lucy)<~>~patient(lucy))))&
(!... | old(susan) | [
"p4",
"p10",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6129198837885455335668447
% SZS output start Proof for 6129198837885455335668447
5. ! [X0] : ((~curious(X0) <~> quiet(X0)) => (creative(X0) & old(X0))) [input p4]
11. ? [X0] : creative(X0) <=> old(susan) [input p10]
13. ! [X0] : ((generous(X0) | ~curious(X0)) => happy(X0)) [input p12]
14.... | 0 |
Everyone who is strong or calm is both not tall and not rich and vice versa.
Everyone who is either not old or not rich is calm or funny and vice versa.
Everyone who is either brave or humble is either patient or old and vice versa.
Everyone who is both creative and not tall is both not old and patient.
If someone is n... | Fred is strong. | entailment | (![X]:((strong(X)|calm(X))<=>(~tall(X)&~rich(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(calm(X)|funny(X))))&
(![X]:((brave(X)<~>humble(X))<=>(patient(X)<~>old(X))))&
(![X]:((creative(X)&~tall(X))=>(~old(X)&patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~generous(X)&~rich(X)))))&
((?[X]:(humble(X)))<=>(curious(alice)))&
((~... | strong(fred) | [
"p0",
"p1",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3650257398277875198430511
% SZS output start Proof for 3650257398277875198430511
1. ! [X0] : ((calm(X0) | strong(X0)) <=> (~rich(X0) & ~tall(X0))) [input p0]
2. ! [X0] : ((~old(X0) <~> ~rich(X0)) <=> (funny(X0) | calm(X0))) [input p1]
10. ! [X0] : ((rich(X0) <~> old(X0)) => ~humble(X0)) [... | 0 |
If someone is patient then someone is both happy and not patient.
If fred is curious or brave then someone is both quiet and rich.
Everyone who is strong or not patient is both not rich and not funny and vice versa.
If someone is either not wise or curious then someone is calm.
Everyone who is both not generous and tal... | Alice is kind. | neutral | ((?[X]:(patient(X)))=>(?[X]:((happy(X)&~patient(X)))))&
(((curious(fred)|brave(fred)))=>(?[X]:((quiet(X)&rich(X)))))&
(![X]:((strong(X)|~patient(X))<=>(~rich(X)&~funny(X))))&
((?[X]:((~wise(X)<~>curious(X))))=>(?[X]:(calm(X))))&
(![X]:((~generous(X)&tall(X))=>(~humble(X)<~>funny(X))))&
((?[X]:((happy(X)|funny(X))))=>((... | kind(alice) | [] | null | 0 |
Everyone who is quiet or not strong is humble or not generous.
Everyone who is not curious is either kind or not calm and vice versa.
If someone is rich then someone is either tall or rich and vice versa.
If someone is either old or not brave then john is not strong or wise and vice versa.
Everyone who is funny or not ... | Lucy is not calm. | entailment | (![X]:((quiet(X)|~strong(X))=>(humble(X)|~generous(X))))&
(![X]:(~curious(X)<=>(kind(X)<~>~calm(X))))&
((?[X]:(rich(X)))<=>(?[X]:((tall(X)<~>rich(X)))))&
((?[X]:((old(X)<~>~brave(X))))<=>((~strong(john)|wise(john))))&
(![X]:((funny(X)|~creative(X))=>(patient(X)|~tall(X))))&
((?[X]:((old(X)|quiet(X))))<=>((~creative(fre... | ~calm(lucy) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8009746750030387256366918
% SZS output start Proof for 8009746750030387256366918
16. ! [X0] : ((calm(X0) | humble(X0)) => (~calm(X0) & ~quiet(X0))) [input p15]
24. calm(lucy) [input hypothesis]
40. ! [X0] : ((~calm(X0) & ~quiet(X0)) | (~calm(X0) & ~humble(X0))) [ennf transformation 16]
13... | 0 |
Everyone who is calm is humble or not strong and vice versa.
Everyone who is either tall or humble is funny or tall.
If john is not wise or patient then someone is not tall.
If mary is either not patient or old then someone is either old or not quiet and vice versa.
Everyone who is strong is either humble or wise.
If p... | Paul is not wise. | neutral | (![X]:(calm(X)<=>(humble(X)|~strong(X))))&
(![X]:((tall(X)<~>humble(X))=>(funny(X)|tall(X))))&
(((~wise(john)|patient(john)))=>(?[X]:(~tall(X))))&
(((~patient(mary)<~>old(mary)))<=>(?[X]:((old(X)<~>~quiet(X)))))&
(![X]:(strong(X)=>(humble(X)<~>wise(X))))&
(((~wise(paul)<~>wise(paul)))<=>(calm(mary)))&
((?[X]:((wise(X)<... | ~wise(paul) | [] | null | 0 |
If someone is not rich then paul is either generous or calm and vice versa.
Everyone who is both old and wise is not happy or funny.
If susan is both not generous and not calm then john is not brave and vice versa.
Everyone who is not humble is either rich or not happy and vice versa.
Everyone who is either brave or no... | John is brave. | entailment | ((?[X]:(~rich(X)))<=>((generous(paul)<~>calm(paul))))&
(![X]:((old(X)&wise(X))=>(~happy(X)|funny(X))))&
(((~generous(susan)&~calm(susan)))<=>(~brave(john)))&
(![X]:(~humble(X)<=>(rich(X)<~>~happy(X))))&
(![X]:((brave(X)<~>~tall(X))<=>(~kind(X)&patient(X))))&
(((~generous(susan)<~>strong(susan)))<=>((~quiet(mary)<~>~kin... | brave(john) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6041290928180096505702394
% SZS output start Proof for 6041290928180096505702394
18. brave(john) & ~humble(john) [input p17]
25. ~brave(john) [input hypothesis]
137. brave(john) [cnf transformation 18]
148. ~brave(john) [cnf transformation 25]
169. 5 <=> brave(john) [avatar definition]
27... | 0 |
Everyone who is both happy and quiet is calm and vice versa.
Everyone who is kind is kind or not creative and vice versa.
Everyone who is both not funny and not tall is humble or not patient.
If lucy is not tall or not patient then someone is not happy or humble.
Everyone who is both not funny and humble is both not ha... | Lucy is not tall. | entailment | (![X]:((happy(X)&quiet(X))<=>calm(X)))&
(![X]:(kind(X)<=>(kind(X)|~creative(X))))&
(![X]:((~funny(X)&~tall(X))=>(humble(X)|~patient(X))))&
(((~tall(lucy)|~patient(lucy)))=>(?[X]:((~happy(X)|humble(X)))))&
(![X]:((~funny(X)&humble(X))=>(~happy(X)&strong(X))))&
(![X]:((~calm(X)|~kind(X))=>(humble(X)|wise(X))))&
(![X]:(ge... | ~tall(lucy) | [
"p1",
"p6",
"p8",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 854597196551717293860713
% SZS output start Proof for 854597196551717293860713
2. ! [X0] : (kind(X0) <=> (~creative(X0) | kind(X0))) [input p1]
7. ! [X0] : (generous(X0) <=> (~strong(X0) | kind(X0))) [input p6]
9. ! [X0] : ((tall(X0) | calm(X0)) => (~generous(X0) <~> ~tall(X0))) [input p8... | 0 |
If susan is brave or not humble then fred is either curious or tall and vice versa. Everyone who is not kind is quiet and vice versa. If paul is happy then john is either not funny or not happy and vice versa. Everyone who is either not brave or patient is both funny and strong and vice versa. If someone is both kind a... | Mary is happy. | contradiction | (((brave(susan)|~humble(susan)))<=>((curious(fred)<~>tall(fred))))&
(![X]:(~kind(X)<=>quiet(X)))&
((happy(paul))<=>((~funny(john)<~>~happy(john))))&
(![X]:((~brave(X)<~>patient(X))<=>(funny(X)&strong(X))))&
((?[X]:((kind(X)&humble(X))))=>(?[X]:((calm(X)&curious(X)))))&
(![X]:(~brave(X)=>(creative(X)|kind(X))))&
(![X]:(... | happy(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4820547613102919351770238
% SZS output start Proof for 4820547613102919351770238
10. (~happy(mary) & wise(mary)) <=> ? [X0] : (calm(X0) | happy(X0)) [input p9]
25. happy(mary) [input hypothesis]
47. ((~happy(mary) & wise(mary)) | ! [X0] : (~calm(X0) & ~happy(X0))) & (? [X0] : (calm(X0) | ... | 0 |
Everyone who is kind or not curious is both brave and generous and vice versa. Everyone who is not creative or wise is either tall or brave and vice versa. Everyone who is not rich or happy is either happy or calm. If fred is both not patient and happy then fred is generous and vice versa. Everyone who is not happy or ... | Lucy is not rich. | neutral | (![X]:((kind(X)|~curious(X))<=>(brave(X)&generous(X))))&
(![X]:((~creative(X)|wise(X))<=>(tall(X)<~>brave(X))))&
(![X]:((~rich(X)|happy(X))=>(happy(X)<~>calm(X))))&
(((~patient(fred)&happy(fred)))<=>(generous(fred)))&
(![X]:((~happy(X)|calm(X))<=>(funny(X)&~brave(X))))&
((humble(lucy))=>(kind(john)))&
(![X]:((~brave(X)... | ~rich(lucy) | [] | null | 0 |
If mary is both not wise and not brave then someone is not creative and vice versa.
Everyone who is not quiet or not brave is either not old or not kind.
Everyone who is not curious or brave is both curious and not strong and vice versa.
If someone is either not creative or generous then someone is either rich or stron... | Mary is quiet. | contradiction | (((~wise(mary)&~brave(mary)))<=>(?[X]:(~creative(X))))&
(![X]:((~quiet(X)|~brave(X))=>(~old(X)<~>~kind(X))))&
(![X]:((~curious(X)|brave(X))<=>(curious(X)&~strong(X))))&
((?[X]:((~creative(X)<~>generous(X))))=>(?[X]:((rich(X)<~>strong(X)))))&
((?[X]:((curious(X)<~>calm(X))))<=>(?[X]:(~tall(X))))&
(![X]:((generous(X)&cur... | quiet(mary) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 14002152813577646173482
% SZS output start Proof for 14002152813577646173482
6. ! [X0] : ((curious(X0) & generous(X0)) <=> quiet(X0)) [input p5]
16. ~generous(mary) [input p15]
22. quiet(mary) [input hypothesis]
47. ! [X0] : (((curious(X0) & generous(X0)) | ~quiet(X0)) & (quiet(X0) | (~cu... | 0 |
Everyone who is both not wise and creative is not kind. If fred is funny or old then someone is both happy and kind and vice versa. Everyone who is not quiet or wise is either not curious or not tall and vice versa. Everyone who is not quiet or not patient is not patient or generous. Everyone who is happy or not patien... | Lucy is not wise. | contradiction | (![X]:((~wise(X)&creative(X))=>~kind(X)))&
(((funny(fred)|old(fred)))<=>(?[X]:((happy(X)&kind(X)))))&
(![X]:((~quiet(X)|wise(X))<=>(~curious(X)<~>~tall(X))))&
(![X]:((~quiet(X)|~patient(X))=>(~patient(X)|generous(X))))&
(![X]:((happy(X)|~patient(X))<=>curious(X)))&
(![X]:(creative(X)=>(strong(X)&generous(X))))&
(![X]:(... | ~wise(lucy) | [
"p0",
"p6",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6864764545334292691523747
% SZS output start Proof for 6864764545334292691523747
1. ! [X0] : ((creative(X0) & ~wise(X0)) => ~kind(X0)) [input p0]
7. ! [X0] : ((funny(X0) | ~creative(X0)) => (~funny(X0) | kind(X0))) [input p6]
8. ! [X0] : ((~quiet(X0) <~> old(X0)) <=> (creative(X0) | ~quie... | 0 |
If someone is calm or not calm then susan is either not curious or strong. If someone is both creative and not strong then someone is both rich and quiet. Everyone who is not tall or not generous is not happy or wise. Everyone who is either not curious or not funny is not humble or funny and vice versa. Everyone who is... | Lucy is generous. | entailment | ((?[X]:((calm(X)|~calm(X))))=>((~curious(susan)<~>strong(susan))))&
((?[X]:((creative(X)&~strong(X))))=>(?[X]:((rich(X)&quiet(X)))))&
(![X]:((~tall(X)|~generous(X))=>(~happy(X)|wise(X))))&
(![X]:((~curious(X)<~>~funny(X))<=>(~humble(X)|funny(X))))&
(![X]:((~wise(X)|~humble(X))=>happy(X)))&
(![X]:(kind(X)=>(~funny(X)|br... | generous(lucy) | [
"p2",
"p3",
"p4",
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2275215548111480919210836
% SZS output start Proof for 2275215548111480919210836
3. ! [X0] : ((~generous(X0) | ~tall(X0)) => (wise(X0) | ~happy(X0))) [input p2]
4. ! [X0] : ((~curious(X0) <~> ~funny(X0)) <=> (funny(X0) | ~humble(X0))) [input p3]
5. ! [X0] : ((~humble(X0) | ~wise(X0)) => h... | 0 |
If mary is both not kind and quiet then someone is quiet or not tall.
Everyone who is not kind or happy is not tall or rich.
Everyone who is both not humble and not curious is not rich and vice versa.
If someone is both not funny and not rich then someone is either not generous or not old.
If someone is not generous or... | John is generous. | contradiction | (((~kind(mary)&quiet(mary)))=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((~kind(X)|happy(X))=>(~tall(X)|rich(X))))&
(![X]:((~humble(X)&~curious(X))<=>~rich(X)))&
((?[X]:((~funny(X)&~rich(X))))=>(?[X]:((~generous(X)<~>~old(X)))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:(~creative(X))))&
(![X]:(rich(X)=>(old(X)&happy(X))))... | generous(john) | [
"p1",
"p5",
"p6",
"p7",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6154103877586057174418977
% SZS output start Proof for 6154103877586057174418977
2. ! [X0] : ((happy(X0) | ~kind(X0)) => (rich(X0) | ~tall(X0))) [input p1]
6. ! [X0] : (rich(X0) => (happy(X0) & old(X0))) [input p5]
7. ! [X0] : ((kind(X0) & ~kind(X0)) <=> (old(X0) <~> tall(X0))) [input p6]... | 0 |
If lucy is not creative then paul is not strong or not patient.
If someone is wise then someone is either brave or funny.
If someone is both brave and generous then someone is both not humble and strong.
If alice is both kind and not old then someone is both not humble and not creative and vice versa.
If someone is gen... | John is not humble. | contradiction | ((~creative(lucy))=>((~strong(paul)|~patient(paul))))&
((?[X]:(wise(X)))=>(?[X]:((brave(X)<~>funny(X)))))&
((?[X]:((brave(X)&generous(X))))=>(?[X]:((~humble(X)&strong(X)))))&
(((kind(alice)&~old(alice)))<=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:((generous(X)|wise(X))))=>(?[X]:(generous(X))))&
(![X]:((~funny(X)<~>q... | ~humble(john) | [
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6475059984441406334436661
% SZS output start Proof for 6475059984441406334436661
11. ? [X0] : (~funny(X0) | humble(X0)) => humble(john) [input p10]
19. humble(fred) [input p18]
25. ~humble(john) [input hypothesis]
40. humble(john) | ! [X0] : (funny(X0) & ~humble(X0)) [ennf transformation ... | 0 |
If someone is not generous then someone is kind or old. Everyone who is either not creative or not brave is not kind or tall and vice versa. Everyone who is not creative is not funny or rich. If paul is both wise and not creative then someone is both not calm and funny. If someone is both not patient and happy then luc... | Mary is not creative. | entailment | ((?[X]:(~generous(X)))=>(?[X]:((kind(X)|old(X)))))&
(![X]:((~creative(X)<~>~brave(X))<=>(~kind(X)|tall(X))))&
(![X]:(~creative(X)=>(~funny(X)|rich(X))))&
(((wise(paul)&~creative(paul)))=>(?[X]:((~calm(X)&funny(X)))))&
((?[X]:((~patient(X)&happy(X))))<=>((calm(lucy)<~>~quiet(lucy))))&
((?[X]:((quiet(X)|kind(X))))=>(?[X]... | ~creative(mary) | [
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7468553127483487296261908
% SZS output start Proof for 7468553127483487296261908
16. ! [X0] : ((~generous(X0) <~> old(X0)) <=> (~creative(X0) <~> ~generous(X0))) [input p15]
18. ~tall(mary) & funny(mary) [input p17]
19. old(mary) | tall(mary) [input p18]
25. creative(mary) [input hypothes... | 0 |
If lucy is both not generous and not humble then john is not funny.
If john is not calm or humble then fred is both generous and old and vice versa.
If fred is not strong or creative then john is either not wise or creative and vice versa.
Everyone who is either calm or not old is humble or not patient.
Everyone who is... | John is not humble. | contradiction | (((~generous(lucy)&~humble(lucy)))=>(~funny(john)))&
(((~calm(john)|humble(john)))<=>((generous(fred)&old(fred))))&
(((~strong(fred)|creative(fred)))<=>((~wise(john)<~>creative(john))))&
(![X]:((calm(X)<~>~old(X))=>(humble(X)|~patient(X))))&
(![X]:((patient(X)<~>creative(X))<=>(~creative(X)&~patient(X))))&
(![X]:((stro... | ~humble(john) | [
"p2",
"p3",
"p4",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6350224025886814536922359
% SZS output start Proof for 6350224025886814536922359
3. (creative(fred) | ~strong(fred)) <=> (~wise(john) <~> creative(john)) [input p2]
4. ! [X0] : ((calm(X0) <~> ~old(X0)) => (~patient(X0) | humble(X0))) [input p3]
5. ! [X0] : ((patient(X0) <~> creative(X0)) ... | 0 |
Everyone who is not tall or humble is either calm or not kind and vice versa.
Everyone who is both generous and humble is not rich or happy and vice versa.
Everyone who is both not tall and calm is either not generous or not quiet.
Everyone who is not funny is either not brave or not rich.
Everyone who is not generous ... | Susan is calm. | contradiction | (![X]:((~tall(X)|humble(X))<=>(calm(X)<~>~kind(X))))&
(![X]:((generous(X)&humble(X))<=>(~rich(X)|happy(X))))&
(![X]:((~tall(X)&calm(X))=>(~generous(X)<~>~quiet(X))))&
(![X]:(~funny(X)=>(~brave(X)<~>~rich(X))))&
(![X]:((~generous(X)|~humble(X))<=>(~happy(X)<~>rich(X))))&
(((~wise(alice)<~>curious(alice)))=>(?[X]:((~quie... | calm(susan) | [
"p0",
"p1",
"p4",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3824687341039495646198497
% SZS output start Proof for 3824687341039495646198497
1. ! [X0] : ((humble(X0) | ~tall(X0)) <=> (calm(X0) <~> ~kind(X0))) [input p0]
2. ! [X0] : ((humble(X0) & generous(X0)) <=> (happy(X0) | ~rich(X0))) [input p1]
5. ! [X0] : ((~humble(X0) | ~generous(X0)) <=> (... | 0 |
Everyone who is humble is kind. Everyone who is both kind and quiet is not strong. Everyone who is tall is both strong and not curious. Everyone who is either not tall or not curious is either not brave or not funny. Everyone who is either not patient or calm is brave or not rich and vice versa. If someone is both curi... | Alice is not strong. | entailment | (![X]:(humble(X)=>kind(X)))&
(![X]:((kind(X)&quiet(X))=>~strong(X)))&
(![X]:(tall(X)=>(strong(X)&~curious(X))))&
(![X]:((~tall(X)<~>~curious(X))=>(~brave(X)<~>~funny(X))))&
(![X]:((~patient(X)<~>calm(X))<=>(brave(X)|~rich(X))))&
((?[X]:((curious(X)&~tall(X))))<=>(?[X]:((rich(X)|~kind(X)))))&
(![X]:((wise(X)&~old(X))<=>... | ~strong(alice) | [
"p1",
"p2",
"p3",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4563995652755257902989335
% SZS output start Proof for 4563995652755257902989335
2. ! [X0] : ((quiet(X0) & kind(X0)) => ~strong(X0)) [input p1]
3. ! [X0] : (tall(X0) => (~curious(X0) & strong(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> ~curious(X0)) => (~brave(X0) <~> ~funny(X0))) [input... | 0 |
If fred is not happy then someone is not strong or rich and vice versa. Everyone who is not patient or not brave is both not curious and not funny. If mary is both generous and not funny then john is funny or not curious and vice versa. Everyone who is strong is not patient or not funny. Everyone who is either happy or... | Lucy is not old. | neutral | ((~happy(fred))<=>(?[X]:((~strong(X)|rich(X)))))&
(![X]:((~patient(X)|~brave(X))=>(~curious(X)&~funny(X))))&
(((generous(mary)&~funny(mary)))<=>((funny(john)|~curious(john))))&
(![X]:(strong(X)=>(~patient(X)|~funny(X))))&
(![X]:((happy(X)<~>~quiet(X))=>(funny(X)<~>tall(X))))&
(![X]:((curious(X)&~happy(X))=>(happy(X)<~>... | ~old(lucy) | [] | null | 0 |
If someone is kind then mary is both humble and quiet.
Everyone who is either generous or rich is both not happy and not creative and vice versa.
If susan is both not creative and not strong then lucy is funny or not old and vice versa.
If someone is either wise or funny then someone is either patient or not rich and v... | Alice is generous. | neutral | ((?[X]:(kind(X)))=>((humble(mary)&quiet(mary))))&
(![X]:((generous(X)<~>rich(X))<=>(~happy(X)&~creative(X))))&
(((~creative(susan)&~strong(susan)))<=>((funny(lucy)|~old(lucy))))&
((?[X]:((wise(X)<~>funny(X))))<=>(?[X]:((patient(X)<~>~rich(X)))))&
(![X]:((patient(X)&~funny(X))=>strong(X)))&
(![X]:((~tall(X)<~>~happy(X))... | generous(alice) | [] | null | 0 |
Everyone who is either not rich or creative is either happy or generous. Everyone who is not tall is not kind or rich. If mary is tall or not calm then someone is not calm or not happy and vice versa. Everyone who is not old is generous. Everyone who is rich or not patient is not tall and vice versa. If someone is both... | Mary is not brave. | neutral | (![X]:((~rich(X)<~>creative(X))=>(happy(X)<~>generous(X))))&
(![X]:(~tall(X)=>(~kind(X)|rich(X))))&
(((tall(mary)|~calm(mary)))<=>(?[X]:((~calm(X)|~happy(X)))))&
(![X]:(~old(X)=>generous(X)))&
(![X]:((rich(X)|~patient(X))<=>~tall(X)))&
((?[X]:((~rich(X)&kind(X))))<=>((rich(fred)<~>~generous(fred))))&
(![X]:((patient(X)... | ~brave(mary) | [] | null | 0 |
Everyone who is curious or creative is either humble or happy and vice versa. If someone is either not curious or old then john is creative and vice versa. Everyone who is both not old and not brave is not tall and vice versa. Everyone who is creative or not wise is either quiet or creative. If someone is both not stro... | Lucy is creative. | contradiction | (![X]:((curious(X)|creative(X))<=>(humble(X)<~>happy(X))))&
((?[X]:((~curious(X)<~>old(X))))<=>(creative(john)))&
(![X]:((~old(X)&~brave(X))<=>~tall(X)))&
(![X]:((creative(X)|~wise(X))=>(quiet(X)<~>creative(X))))&
((?[X]:((~strong(X)&humble(X))))=>(?[X]:((calm(X)&~tall(X)))))&
(((strong(fred)<~>~patient(fred)))<=>(?[X]... | creative(lucy) | [
"p2",
"p3",
"p4",
"p7",
"p11",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1421149221932804436255904
% SZS output start Proof for 1421149221932804436255904
3. ! [X0] : ((~brave(X0) & ~old(X0)) <=> ~tall(X0)) [input p2]
4. ! [X0] : ((~wise(X0) | creative(X0)) => (quiet(X0) <~> creative(X0))) [input p3]
5. ? [X0] : (humble(X0) & ~strong(X0)) => ? [X0] : (~tall(X0)... | 0 |
If someone is both funny and not humble then someone is either not wise or kind.
Everyone who is humble or curious is either happy or not happy.
If someone is either not kind or not curious then paul is both not patient and not tall and vice versa.
If john is not quiet then alice is either old or not kind.
If susan is ... | Paul is brave. | neutral | ((?[X]:((funny(X)&~humble(X))))=>(?[X]:((~wise(X)<~>kind(X)))))&
(![X]:((humble(X)|curious(X))=>(happy(X)<~>~happy(X))))&
((?[X]:((~kind(X)<~>~curious(X))))<=>((~patient(paul)&~tall(paul))))&
((~quiet(john))=>((old(alice)<~>~kind(alice))))&
(((wise(susan)&~patient(susan)))=>(old(alice)))&
((?[X]:((strong(X)&~strong(X))... | brave(paul) | [] | null | 0 |
If alice is not tall or not quiet then mary is either not patient or not creative.
Everyone who is both not funny and not strong is not calm and vice versa.
Everyone who is either rich or not happy is not patient or not humble and vice versa.
If susan is quiet or wise then susan is either quiet or rich and vice versa.
... | Susan is calm. | neutral | (((~tall(alice)|~quiet(alice)))=>((~patient(mary)<~>~creative(mary))))&
(![X]:((~funny(X)&~strong(X))<=>~calm(X)))&
(![X]:((rich(X)<~>~happy(X))<=>(~patient(X)|~humble(X))))&
(((quiet(susan)|wise(susan)))<=>((quiet(susan)<~>rich(susan))))&
((?[X]:(~calm(X)))=>(?[X]:(~brave(X))))&
(![X]:((creative(X)&~humble(X))=>~old(X... | calm(susan) | [] | null | 0 |
Everyone who is either not old or happy is both generous and not generous and vice versa.
If someone is not calm or not curious then someone is kind.
Everyone who is both funny and not generous is either not rich or strong.
Everyone who is either wise or not wise is funny or not funny and vice versa.
If someone is not ... | Mary is funny. | contradiction | (![X]:((~old(X)<~>happy(X))<=>(generous(X)&~generous(X))))&
((?[X]:((~calm(X)|~curious(X))))=>(?[X]:(kind(X))))&
(![X]:((funny(X)&~generous(X))=>(~rich(X)<~>strong(X))))&
(![X]:((wise(X)<~>~wise(X))<=>(funny(X)|~funny(X))))&
((?[X]:(~curious(X)))<=>((tall(mary)|~brave(mary))))&
((?[X]:((~patient(X)&quiet(X))))<=>(?[X]:... | funny(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3833756312600184534109378
% SZS output start Proof for 3833756312600184534109378
9. ! [X0] : (funny(X0) => (~funny(X0) & ~happy(X0))) [input p8]
25. funny(mary) [input hypothesis]
34. ! [X0] : ((~funny(X0) & ~happy(X0)) | ~funny(X0)) [ennf transformation 9]
119. ~funny(X0) | ~funny(X0) [c... | 0 |
Everyone who is both not patient and not creative is not kind.
If mary is not wise or patient then mary is not tall and vice versa.
Everyone who is old is both not curious and not old.
Everyone who is not happy is kind or not wise and vice versa.
If fred is either not tall or not funny then paul is either rich or humbl... | Mary is strong. | neutral | (![X]:((~patient(X)&~creative(X))=>~kind(X)))&
(((~wise(mary)|patient(mary)))<=>(~tall(mary)))&
(![X]:(old(X)=>(~curious(X)&~old(X))))&
(![X]:(~happy(X)<=>(kind(X)|~wise(X))))&
(((~tall(fred)<~>~funny(fred)))<=>((rich(paul)<~>humble(paul))))&
(![X]:((generous(X)<~>~creative(X))<=>(~patient(X)<~>creative(X))))&
((?[X]:(... | strong(mary) | [] | null | 0 |
If someone is not old or funny then paul is not humble or kind.
If lucy is either not strong or creative then alice is not kind.
Everyone who is not quiet is not generous or happy.
If someone is curious then someone is either humble or patient and vice versa.
If john is either creative or strong then someone is not wis... | Lucy is not quiet. | contradiction | ((?[X]:((~old(X)|funny(X))))=>((~humble(paul)|kind(paul))))&
(((~strong(lucy)<~>creative(lucy)))=>(~kind(alice)))&
(![X]:(~quiet(X)=>(~generous(X)|happy(X))))&
((?[X]:(curious(X)))<=>(?[X]:((humble(X)<~>patient(X)))))&
(((creative(john)<~>strong(john)))<=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((calm(X)<~>~curious(X))<... | ~quiet(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6450196490792062014277768
% SZS output start Proof for 6450196490792062014277768
15. ! [X0] : (~quiet(X0) <=> (quiet(X0) & ~wise(X0))) [input p14]
23. ~quiet(lucy) [input hypothesis]
62. ! [X0] : ((~quiet(X0) | (~quiet(X0) | wise(X0))) & ((quiet(X0) & ~wise(X0)) | quiet(X0))) [nnf transfo... | 0 |
If someone is both kind and generous then susan is creative and vice versa. If someone is both happy and not tall then someone is creative or not creative. If susan is either wise or patient then fred is rich or quiet and vice versa. If john is both brave and not rich then someone is both not rich and not strong. Every... | John is not kind. | entailment | ((?[X]:((kind(X)&generous(X))))<=>(creative(susan)))&
((?[X]:((happy(X)&~tall(X))))=>(?[X]:((creative(X)|~creative(X)))))&
(((wise(susan)<~>patient(susan)))<=>((rich(fred)|quiet(fred))))&
(((brave(john)&~rich(john)))=>(?[X]:((~rich(X)&~strong(X)))))&
(![X]:((~patient(X)|kind(X))<=>(rich(X)&~wise(X))))&
(![X]:((funny(X)... | ~kind(john) | [
"p2",
"p4",
"p8",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5587699521061426364403981
% SZS output start Proof for 5587699521061426364403981
3. (wise(susan) <~> patient(susan)) <=> (quiet(fred) | rich(fred)) [input p2]
5. ! [X0] : ((kind(X0) | ~patient(X0)) <=> (~wise(X0) & rich(X0))) [input p4]
9. ? [X0] : (wise(X0) <~> ~patient(X0)) => (strong(j... | 0 |
Everyone who is both brave and not patient is either quiet or not curious.
Everyone who is both not rich and funny is not happy or brave and vice versa.
Everyone who is either brave or not happy is humble or generous and vice versa.
Everyone who is both old and funny is happy.
If paul is strong then someone is both not... | Paul is not creative. | contradiction | (![X]:((brave(X)&~patient(X))=>(quiet(X)<~>~curious(X))))&
(![X]:((~rich(X)&funny(X))<=>(~happy(X)|brave(X))))&
(![X]:((brave(X)<~>~happy(X))<=>(humble(X)|generous(X))))&
(![X]:((old(X)&funny(X))=>happy(X)))&
((strong(paul))<=>(?[X]:((~calm(X)&~quiet(X)))))&
(((kind(fred)<~>calm(fred)))<=>((~brave(mary)&~happy(mary))))... | ~creative(paul) | [
"p1",
"p2",
"p3",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8356864450912725547823600
% SZS output start Proof for 8356864450912725547823600
2. ! [X0] : ((funny(X0) & ~rich(X0)) <=> (brave(X0) | ~happy(X0))) [input p1]
3. ! [X0] : ((brave(X0) <~> ~happy(X0)) <=> (generous(X0) | humble(X0))) [input p2]
4. ! [X0] : ((funny(X0) & old(X0)) => happy(X0... | 0 |
If fred is either not strong or brave then mary is both kind and happy.
Everyone who is either not calm or strong is not calm.
If someone is wise then someone is either not curious or funny.
Everyone who is curious or generous is both not strong and humble and vice versa.
Everyone who is creative or old is happy or kin... | Lucy is not funny. | neutral | (((~strong(fred)<~>brave(fred)))=>((kind(mary)&happy(mary))))&
(![X]:((~calm(X)<~>strong(X))=>~calm(X)))&
((?[X]:(wise(X)))=>(?[X]:((~curious(X)<~>funny(X)))))&
(![X]:((curious(X)|generous(X))<=>(~strong(X)&humble(X))))&
(![X]:((creative(X)|old(X))=>(happy(X)|kind(X))))&
(![X]:(curious(X)=>(brave(X)&~calm(X))))&
((?[X]... | ~funny(lucy) | [] | null | 0 |
If paul is both not rich and not funny then someone is either not creative or quiet.
Everyone who is not brave is not strong or old and vice versa.
Everyone who is both strong and not funny is creative or curious and vice versa.
If someone is both kind and not curious then someone is both not wise and not calm and vice... | Fred is brave. | contradiction | (((~rich(paul)&~funny(paul)))=>(?[X]:((~creative(X)<~>quiet(X)))))&
(![X]:(~brave(X)<=>(~strong(X)|old(X))))&
(![X]:((strong(X)&~funny(X))<=>(creative(X)|curious(X))))&
((?[X]:((kind(X)&~curious(X))))<=>(?[X]:((~wise(X)&~calm(X)))))&
(((generous(paul)|humble(paul)))=>((~generous(mary)<~>calm(mary))))&
((?[X]:((~funny(X... | brave(fred) | [
"p1",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6776616205576492055146844
% SZS output start Proof for 6776616205576492055146844
2. ! [X0] : (~brave(X0) <=> (old(X0) | ~strong(X0))) [input p1]
9. ! [X0] : ((~humble(X0) & happy(X0)) <=> (~old(X0) & humble(X0))) [input p8]
15. ! [X0] : ((creative(X0) | ~old(X0)) => humble(X0)) [input p14... | 0 |
If alice is not happy then john is both not brave and wise. Everyone who is either funny or humble is both not tall and not wise and vice versa. If someone is either calm or not quiet then john is not kind and vice versa. Everyone who is either not brave or not funny is either not kind or not humble and vice versa. If ... | Alice is not happy. | contradiction | ((~happy(alice))=>((~brave(john)&wise(john))))&
(![X]:((funny(X)<~>humble(X))<=>(~tall(X)&~wise(X))))&
((?[X]:((calm(X)<~>~quiet(X))))<=>(~kind(john)))&
(![X]:((~brave(X)<~>~funny(X))<=>(~kind(X)<~>~humble(X))))&
((?[X]:((~creative(X)|~tall(X))))=>((~funny(lucy)|~old(lucy))))&
(![X]:(~creative(X)<=>(~curious(X)<~>gener... | ~happy(alice) | [
"p0",
"p8",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 406436868144691643390061
% SZS output start Proof for 406436868144691643390061
1. ~happy(alice) => (wise(john) & ~brave(john)) [input p0]
9. ! [X0] : ((tall(X0) | ~rich(X0)) => (funny(X0) & ~quiet(X0))) [input p8]
11. ? [X0] : (~happy(X0) | ~calm(X0)) => (~wise(john) | ~funny(john)) [inpu... | 0 |
Everyone who is generous or not generous is both patient and old and vice versa.
If someone is both rich and not patient then someone is either not kind or not funny and vice versa.
Everyone who is kind is tall and vice versa.
If someone is both not funny and not quiet then john is both wise and happy and vice versa.
I... | John is kind. | entailment | (![X]:((generous(X)|~generous(X))<=>(patient(X)&old(X))))&
((?[X]:((rich(X)&~patient(X))))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
(![X]:(kind(X)<=>tall(X)))&
((?[X]:((~funny(X)&~quiet(X))))<=>((wise(john)&happy(john))))&
((?[X]:((calm(X)<~>creative(X))))=>(?[X]:((humble(X)&funny(X)))))&
((old(lucy))=>(~humble(susan)))&
((... | kind(john) | [
"p0",
"p1",
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3838064630674686955342197
% SZS output start Proof for 3838064630674686955342197
1. ! [X0] : ((~generous(X0) | generous(X0)) <=> (old(X0) & patient(X0))) [input p0]
2. ? [X0] : (~patient(X0) & rich(X0)) <=> ? [X0] : (~kind(X0) <~> ~funny(X0)) [input p1]
4. ? [X0] : (~quiet(X0) & ~funny(X0... | 0 |
Everyone who is either quiet or not generous is patient or curious.
Everyone who is both not brave and generous is not rich and vice versa.
Everyone who is wise is both old and tall.
Everyone who is both quiet and not happy is either not creative or rich.
Everyone who is both generous and humble is either not wise or w... | Mary is not humble. | contradiction | (![X]:((quiet(X)<~>~generous(X))=>(patient(X)|curious(X))))&
(![X]:((~brave(X)&generous(X))<=>~rich(X)))&
(![X]:(wise(X)=>(old(X)&tall(X))))&
(![X]:((quiet(X)&~happy(X))=>(~creative(X)<~>rich(X))))&
(![X]:((generous(X)&humble(X))<=>(~wise(X)<~>wise(X))))&
((?[X]:((~brave(X)&generous(X))))<=>((~wise(fred)<~>~quiet(fred)... | ~humble(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3593232784265257553666548
% SZS output start Proof for 3593232784265257553666548
5. ! [X0] : ((humble(X0) & generous(X0)) <=> (~wise(X0) <~> wise(X0))) [input p4]
25. ~humble(mary) [input hypothesis]
42. ! [X0] : (((humble(X0) & generous(X0)) | ((~wise(X0) | ~wise(X0)) & (wise(X0) | wise(... | 0 |
Everyone who is either brave or not brave is not funny or not humble.
Everyone who is not old is strong and vice versa.
If paul is either not quiet or not creative then someone is funny or not tall and vice versa.
Everyone who is not creative is not curious.
If fred is humble then someone is not funny or not kind and v... | Lucy is kind. | entailment | (![X]:((brave(X)<~>~brave(X))=>(~funny(X)|~humble(X))))&
(![X]:(~old(X)<=>strong(X)))&
(((~quiet(paul)<~>~creative(paul)))<=>(?[X]:((funny(X)|~tall(X)))))&
(![X]:(~creative(X)=>~curious(X)))&
((humble(fred))<=>(?[X]:((~funny(X)|~kind(X)))))&
((?[X]:((~old(X)|calm(X))))=>((quiet(fred)&~happy(fred))))&
(![X]:((~strong(X)... | kind(lucy) | [
"p0",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3836058676412908024130798
% SZS output start Proof for 3836058676412908024130798
1. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (~humble(X0) | ~funny(X0))) [input p0]
5. humble(fred) <=> ? [X0] : (~kind(X0) | ~funny(X0)) [input p4]
7. ! [X0] : ((~strong(X0) <~> strong(X0)) => funny(X0)) [inpu... | 0 |
Everyone who is either not quiet or funny is quiet and vice versa. Everyone who is strong is either wise or quiet and vice versa. Everyone who is either rich or not humble is both not old and generous and vice versa. Everyone who is curious or creative is either not generous or funny. If mary is not generous or funny t... | John is not kind. | contradiction | (![X]:((~quiet(X)<~>funny(X))<=>quiet(X)))&
(![X]:(strong(X)<=>(wise(X)<~>quiet(X))))&
(![X]:((rich(X)<~>~humble(X))<=>(~old(X)&generous(X))))&
(![X]:((curious(X)|creative(X))=>(~generous(X)<~>funny(X))))&
(((~generous(mary)|funny(mary)))=>(?[X]:((rich(X)<~>old(X)))))&
(((curious(paul)|~brave(paul)))=>(?[X]:((strong(X)... | ~kind(john) | [
"p0",
"p3",
"p7",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2293598486838441959214871
% SZS output start Proof for 2293598486838441959214871
1. ! [X0] : ((~quiet(X0) <~> funny(X0)) <=> quiet(X0)) [input p0]
4. ! [X0] : ((creative(X0) | curious(X0)) => (~generous(X0) <~> funny(X0))) [input p3]
8. ! [X0] : (~kind(X0) <=> (~humble(X0) & curious(X0)))... | 0 |
Everyone who is both not curious and tall is both quiet and not generous. Everyone who is not rich or curious is both brave and humble and vice versa. If fred is strong or not quiet then someone is both generous and happy. If someone is either not funny or tall then someone is either calm or not humble. Everyone who is... | Lucy is humble. | entailment | (![X]:((~curious(X)&tall(X))=>(quiet(X)&~generous(X))))&
(![X]:((~rich(X)|curious(X))<=>(brave(X)&humble(X))))&
(((strong(fred)|~quiet(fred)))=>(?[X]:((generous(X)&happy(X)))))&
((?[X]:((~funny(X)<~>tall(X))))=>(?[X]:((calm(X)<~>~humble(X)))))&
(![X]:(patient(X)=>curious(X)))&
((?[X]:(~happy(X)))=>(?[X]:((~humble(X)|~b... | humble(lucy) | [
"p1",
"p7",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 382105394161638711547737
% SZS output start Proof for 382105394161638711547737
2. ! [X0] : ((curious(X0) | ~rich(X0)) <=> (humble(X0) & brave(X0))) [input p1]
8. ? [X0] : rich(X0) <=> (humble(lucy) | ~quiet(lucy)) [input p7]
21. quiet(lucy) [input p20]
22. ? [X0] : (kind(X0) & ~humble(X0)... | 0 |
Everyone who is either not funny or not kind is both not happy and humble and vice versa. If someone is either quiet or not kind then someone is wise and vice versa. Everyone who is both rich and not old is both rich and strong. Everyone who is old is quiet or happy and vice versa. Everyone who is either not creative o... | Paul is not funny. | entailment | (![X]:((~funny(X)<~>~kind(X))<=>(~happy(X)&humble(X))))&
((?[X]:((quiet(X)<~>~kind(X))))<=>(?[X]:(wise(X))))&
(![X]:((rich(X)&~old(X))=>(rich(X)&strong(X))))&
(![X]:(old(X)<=>(quiet(X)|happy(X))))&
(![X]:((~creative(X)<~>curious(X))=>brave(X)))&
(![X]:((~wise(X)|kind(X))<=>(curious(X)&generous(X))))&
((?[X]:((rich(X)&k... | ~funny(paul) | [
"p0",
"p4",
"p5",
"p8",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8936918200141982911806142
% SZS output start Proof for 8936918200141982911806142
1. ! [X0] : ((~funny(X0) <~> ~kind(X0)) <=> (humble(X0) & ~happy(X0))) [input p0]
5. ! [X0] : ((~creative(X0) <~> curious(X0)) => brave(X0)) [input p4]
6. ! [X0] : ((kind(X0) | ~wise(X0)) <=> (generous(X0) & ... | 0 |
If someone is both not generous and not happy then mary is both happy and not brave and vice versa.
If mary is either not creative or quiet then someone is not tall and vice versa.
If someone is both not rich and not kind then lucy is calm or not strong.
If someone is not happy then susan is happy and vice versa.
If jo... | Susan is not calm. | neutral | ((?[X]:((~generous(X)&~happy(X))))<=>((happy(mary)&~brave(mary))))&
(((~creative(mary)<~>quiet(mary)))<=>(?[X]:(~tall(X))))&
((?[X]:((~rich(X)&~kind(X))))=>((calm(lucy)|~strong(lucy))))&
((?[X]:(~happy(X)))<=>(happy(susan)))&
(((~quiet(john)&rich(john)))<=>(?[X]:(brave(X))))&
(![X]:((brave(X)&~brave(X))<=>(kind(X)&~gen... | ~calm(susan) | [] | null | 0 |
If someone is quiet or calm then someone is either not wise or calm. Everyone who is both brave and old is calm. Everyone who is not calm is both not calm and calm. If someone is either brave or not rich then susan is both creative and calm and vice versa. Everyone who is either not brave or not kind is not curious. If... | John is calm. | entailment | ((?[X]:((quiet(X)|calm(X))))=>(?[X]:((~wise(X)<~>calm(X)))))&
(![X]:((brave(X)&old(X))=>calm(X)))&
(![X]:(~calm(X)=>(~calm(X)&calm(X))))&
((?[X]:((brave(X)<~>~rich(X))))<=>((creative(susan)&calm(susan))))&
(![X]:((~brave(X)<~>~kind(X))=>~curious(X)))&
(((~old(mary)&tall(mary)))=>((~calm(john)|curious(john))))&
(![X]:((... | calm(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2337797428574426377341186
% SZS output start Proof for 2337797428574426377341186
3. ! [X0] : (~calm(X0) => (calm(X0) & ~calm(X0))) [input p2]
25. ~calm(john) [input hypothesis]
31. ! [X0] : ((calm(X0) & ~calm(X0)) | calm(X0)) [ennf transformation 3]
89. calm(X0) | calm(X0) [cnf transforma... | 0 |
If someone is not old or calm then alice is not generous or creative.
If susan is either kind or not creative then someone is either happy or calm and vice versa.
If someone is both not funny and funny then someone is either not brave or not kind and vice versa.
If someone is not tall or curious then lucy is old or not... | Lucy is quiet. | contradiction | ((?[X]:((~old(X)|calm(X))))=>((~generous(alice)|creative(alice))))&
(((kind(susan)<~>~creative(susan)))<=>(?[X]:((happy(X)<~>calm(X)))))&
((?[X]:((~funny(X)&funny(X))))<=>(?[X]:((~brave(X)<~>~kind(X)))))&
((?[X]:((~tall(X)|curious(X))))=>((old(lucy)|~kind(lucy))))&
(((tall(susan)<~>~kind(susan)))<=>((creative(lucy)&~pa... | quiet(lucy) | [
"p2",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 736560565886713803640152
% SZS output start Proof for 736560565886713803640152
3. ? [X0] : (funny(X0) & ~funny(X0)) <=> ? [X0] : (~brave(X0) <~> ~kind(X0)) [input p2]
6. ! [X0] : (calm(X0) <=> (~calm(X0) <~> creative(X0))) [input p5]
11. ! [X0] : ((kind(X0) & generous(X0)) <=> ~generous(X... | 0 |
Everyone who is either tall or not generous is not creative or not kind and vice versa.
If paul is either not funny or not creative then someone is either generous or brave.
If fred is not funny then someone is either funny or not strong and vice versa.
If someone is both kind and rich then someone is both brave and no... | John is brave. | neutral | (![X]:((tall(X)<~>~generous(X))<=>(~creative(X)|~kind(X))))&
(((~funny(paul)<~>~creative(paul)))=>(?[X]:((generous(X)<~>brave(X)))))&
((~funny(fred))<=>(?[X]:((funny(X)<~>~strong(X)))))&
((?[X]:((kind(X)&rich(X))))<=>(?[X]:((brave(X)&~strong(X)))))&
(((~rich(susan)|~brave(susan)))<=>(?[X]:((humble(X)<~>~happy(X)))))&
(... | brave(john) | [] | null | 0 |
Everyone who is creative is both not quiet and funny.
If someone is both generous and strong then someone is either not old or old and vice versa.
Everyone who is wise or not old is patient or not wise.
Everyone who is either happy or not generous is not brave or not curious and vice versa.
If someone is either not pat... | Mary is not happy. | entailment | (![X]:(creative(X)=>(~quiet(X)&funny(X))))&
((?[X]:((generous(X)&strong(X))))<=>(?[X]:((~old(X)<~>old(X)))))&
(![X]:((wise(X)|~old(X))=>(patient(X)|~wise(X))))&
(![X]:((happy(X)<~>~generous(X))<=>(~brave(X)|~curious(X))))&
((?[X]:((~patient(X)<~>rich(X))))=>(?[X]:((~brave(X)<~>happy(X)))))&
((?[X]:((curious(X)&happy(X)... | ~happy(mary) | [
"p2",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4455647947328149374321274
% SZS output start Proof for 4455647947328149374321274
3. ! [X0] : ((~old(X0) | wise(X0)) => (~wise(X0) | patient(X0))) [input p2]
13. ! [X0] : ((~quiet(X0) & happy(X0)) <=> (~patient(X0) & happy(X0))) [input p12]
18. ~quiet(mary) & wise(mary) [input p17]
24. hap... | 0 |
Everyone who is both not strong and not calm is either patient or calm.
Everyone who is curious or not patient is either not generous or not calm and vice versa.
Everyone who is both curious and patient is not creative.
Everyone who is not kind is funny.
If john is either not creative or not wise then someone is either... | Alice is not old. | contradiction | (![X]:((~strong(X)&~calm(X))=>(patient(X)<~>calm(X))))&
(![X]:((curious(X)|~patient(X))<=>(~generous(X)<~>~calm(X))))&
(![X]:((curious(X)&patient(X))=>~creative(X)))&
(![X]:(~kind(X)=>funny(X)))&
(((~creative(john)<~>~wise(john)))=>(?[X]:((~calm(X)<~>tall(X)))))&
(![X]:(creative(X)<=>(old(X)&creative(X))))&
(![X]:((fun... | ~old(alice) | [
"p1",
"p3",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 83403518869930346249648
% SZS output start Proof for 83403518869930346249648
2. ! [X0] : ((~patient(X0) | curious(X0)) <=> (~generous(X0) <~> ~calm(X0))) [input p1]
4. ! [X0] : (~kind(X0) => funny(X0)) [input p3]
6. ! [X0] : (creative(X0) <=> (creative(X0) & old(X0))) [input p5]
7. ! [X0]... | 0 |
Everyone who is both quiet and kind is either not quiet or not calm and vice versa. Everyone who is both kind and funny is quiet and vice versa. Everyone who is rich or not happy is funny. If someone is kind then someone is humble and vice versa. If susan is tall or not curious then someone is not kind or old. Everyone... | Alice is tall. | entailment | (![X]:((quiet(X)&kind(X))<=>(~quiet(X)<~>~calm(X))))&
(![X]:((kind(X)&funny(X))<=>quiet(X)))&
(![X]:((rich(X)|~happy(X))=>funny(X)))&
((?[X]:(kind(X)))<=>(?[X]:(humble(X))))&
(((tall(susan)|~curious(susan)))=>(?[X]:((~kind(X)|old(X)))))&
(![X]:((~wise(X)&happy(X))=>(kind(X)&~funny(X))))&
(((~calm(paul)&~quiet(paul)))<=... | tall(alice) | [
"p0",
"p1",
"p2",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4548112755113168962515428
% SZS output start Proof for 4548112755113168962515428
1. ! [X0] : ((kind(X0) & quiet(X0)) <=> (~quiet(X0) <~> ~calm(X0))) [input p0]
2. ! [X0] : ((funny(X0) & kind(X0)) <=> quiet(X0)) [input p1]
3. ! [X0] : ((~happy(X0) | rich(X0)) => funny(X0)) [input p2]
13. !... | 0 |
Everyone who is not patient or not funny is strong. If john is both not strong and not tall then alice is not old. Everyone who is both old and generous is both not quiet and not brave and vice versa. Everyone who is not patient is both kind and not funny and vice versa. Everyone who is not brave or not strong is old. ... | Fred is tall. | neutral | (![X]:((~patient(X)|~funny(X))=>strong(X)))&
(((~strong(john)&~tall(john)))=>(~old(alice)))&
(![X]:((old(X)&generous(X))<=>(~quiet(X)&~brave(X))))&
(![X]:(~patient(X)<=>(kind(X)&~funny(X))))&
(![X]:((~brave(X)|~strong(X))=>old(X)))&
((?[X]:(~happy(X)))<=>((funny(lucy)|~generous(lucy))))&
(![X]:((quiet(X)&~wise(X))<=>(~... | tall(fred) | [] | null | 0 |
Everyone who is tall is both not humble and generous and vice versa. Everyone who is funny is curious or funny. If someone is curious then mary is tall. If john is either brave or not calm then someone is either funny or quiet and vice versa. Everyone who is both not old and tall is either not calm or calm and vice ver... | Paul is tall. | entailment | (![X]:(tall(X)<=>(~humble(X)&generous(X))))&
(![X]:(funny(X)=>(curious(X)|funny(X))))&
((?[X]:(curious(X)))=>(tall(mary)))&
(((brave(john)<~>~calm(john)))<=>(?[X]:((funny(X)<~>quiet(X)))))&
(![X]:((~old(X)&tall(X))<=>(~calm(X)<~>calm(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((~patient(X)<~>~quiet(X)))))&
(![X]:((~rich(X)&~h... | tall(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1768543669985377999157759
% SZS output start Proof for 1768543669985377999157759
5. ! [X0] : ((tall(X0) & ~old(X0)) <=> (~calm(X0) <~> calm(X0))) [input p4]
23. ~tall(paul) [input hypothesis]
41. ! [X0] : (((tall(X0) & ~old(X0)) | ((~calm(X0) | ~calm(X0)) & (calm(X0) | calm(X0)))) & (((~c... | 0 |
If someone is either not brave or not rich then mary is quiet or not old and vice versa. Everyone who is both not patient and quiet is not happy. Everyone who is old or kind is old and vice versa. If susan is either generous or not quiet then lucy is not rich. Everyone who is wise is creative or happy and vice versa. E... | John is funny. | contradiction | ((?[X]:((~brave(X)<~>~rich(X))))<=>((quiet(mary)|~old(mary))))&
(![X]:((~patient(X)&quiet(X))=>~happy(X)))&
(![X]:((old(X)|kind(X))<=>old(X)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)<=>(creative(X)|happy(X))))&
(![X]:(funny(X)<=>(~creative(X)&generous(X))))&
(((tall(paul)<~>~creative(paul)... | funny(john) | [
"p2",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 471420651445496924495212
% SZS output start Proof for 471420651445496924495212
3. ! [X0] : ((kind(X0) | old(X0)) <=> old(X0)) [input p2]
14. ! [X0] : (old(X0) => (~funny(X0) & ~humble(X0))) [input p13]
16. ! [X0] : (old(X0) <=> (~kind(X0) | happy(X0))) [input p15]
23. funny(john) [input h... | 0 |
If someone is not tall or curious then someone is not quiet or patient and vice versa. If someone is not brave then someone is both calm and strong and vice versa. If someone is generous or patient then someone is wise or not quiet. Everyone who is not brave is both strong and not funny and vice versa. If fred is not b... | Susan is wise. | entailment | ((?[X]:((~tall(X)|curious(X))))<=>(?[X]:((~quiet(X)|patient(X)))))&
((?[X]:(~brave(X)))<=>(?[X]:((calm(X)&strong(X)))))&
((?[X]:((generous(X)|patient(X))))=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:(~brave(X)<=>(strong(X)&~funny(X))))&
((~brave(fred))<=>(?[X]:((~wise(X)&~quiet(X)))))&
((?[X]:((calm(X)&~happy(X))))<=>((~cal... | wise(susan) | [
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9149375600812037309588717
% SZS output start Proof for 9149375600812037309588717
4. ! [X0] : (~brave(X0) <=> (~funny(X0) & strong(X0))) [input p3]
11. ! [X0] : ((~creative(X0) | ~wise(X0)) => (funny(X0) & ~brave(X0))) [input p10]
23. ~wise(susan) [input hypothesis]
30. ! [X0] : ((funny(X0... | 0 |
If susan is both not old and patient then susan is patient or brave.
Everyone who is kind or not creative is humble and vice versa.
Everyone who is old or funny is both funny and not calm and vice versa.
Everyone who is not old or not generous is either not old or humble and vice versa.
Everyone who is brave is both no... | Mary is not happy. | neutral | (((~old(susan)&patient(susan)))=>((patient(susan)|brave(susan))))&
(![X]:((kind(X)|~creative(X))<=>humble(X)))&
(![X]:((old(X)|funny(X))<=>(funny(X)&~calm(X))))&
(![X]:((~old(X)|~generous(X))<=>(~old(X)<~>humble(X))))&
(![X]:(brave(X)<=>(~rich(X)&~old(X))))&
(![X]:((calm(X)&creative(X))<=>(generous(X)|wise(X))))&
((?[X... | ~happy(mary) | [] | null | 0 |
Everyone who is either not tall or funny is rich or curious and vice versa.
Everyone who is both not calm and not generous is both not kind and not tall.
If someone is not generous then someone is calm or rich and vice versa.
Everyone who is either not wise or not patient is either not wise or not calm and vice versa.
... | Susan is humble. | contradiction | (![X]:((~tall(X)<~>funny(X))<=>(rich(X)|curious(X))))&
(![X]:((~calm(X)&~generous(X))=>(~kind(X)&~tall(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((~wise(X)<~>~patient(X))<=>(~wise(X)<~>~calm(X))))&
(![X]:((happy(X)|~strong(X))<=>(~tall(X)|~happy(X))))&
(![X]:((~old(X)&~patient(X))=>(creative(X)... | humble(susan) | [
"p3",
"p7",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4241418183425587323585716
% SZS output start Proof for 4241418183425587323585716
4. ! [X0] : ((~wise(X0) <~> ~patient(X0)) <=> (~wise(X0) <~> ~calm(X0))) [input p3]
8. ! [X0] : (creative(X0) => ~curious(X0)) [input p7]
11. ! [X0] : ((~strong(X0) <~> ~humble(X0)) <=> creative(X0)) [input p... | 0 |
Everyone who is either not happy or happy is tall and vice versa.
Everyone who is both wise and tall is both funny and not wise.
If alice is both not generous and rich then fred is not strong or not kind.
Everyone who is both creative and not calm is both quiet and not brave and vice versa.
If someone is either humble ... | Lucy is brave. | neutral | (![X]:((~happy(X)<~>happy(X))<=>tall(X)))&
(![X]:((wise(X)&tall(X))=>(funny(X)&~wise(X))))&
(((~generous(alice)&rich(alice)))=>((~strong(fred)|~kind(fred))))&
(![X]:((creative(X)&~calm(X))<=>(quiet(X)&~brave(X))))&
((?[X]:((humble(X)<~>~patient(X))))=>(?[X]:(quiet(X))))&
((?[X]:((~calm(X)|~tall(X))))<=>((~happy(lucy)<~... | brave(lucy) | [] | null | 0 |
If fred is both not happy and happy then alice is kind or not generous.
If someone is either creative or funny then susan is not happy.
Everyone who is either not brave or not humble is either strong or not tall and vice versa.
Everyone who is strong or rich is not creative and vice versa.
If john is both funny and bra... | Alice is brave. | contradiction | (((~happy(fred)&happy(fred)))=>((kind(alice)|~generous(alice))))&
((?[X]:((creative(X)<~>funny(X))))=>(~happy(susan)))&
(![X]:((~brave(X)<~>~humble(X))<=>(strong(X)<~>~tall(X))))&
(![X]:((strong(X)|rich(X))<=>~creative(X)))&
(((funny(john)&brave(john)))=>((~brave(fred)|~rich(fred))))&
((?[X]:((~kind(X)&~tall(X))))<=>(?... | brave(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9017328222440375896437598
% SZS output start Proof for 9017328222440375896437598
16. ! [X0] : ((calm(X0) & ~brave(X0)) <=> brave(X0)) [input p15]
24. brave(alice) [input hypothesis]
68. ! [X0] : (((calm(X0) & ~brave(X0)) | ~brave(X0)) & (brave(X0) | (~calm(X0) | brave(X0)))) [nnf transfor... | 0 |
If someone is both tall and rich then someone is curious or humble. Everyone who is either creative or not tall is both not quiet and not tall. If paul is either not generous or not kind then someone is not generous and vice versa. Everyone who is both not patient and strong is not patient. If someone is either not hap... | Lucy is not happy. | contradiction | ((?[X]:((tall(X)&rich(X))))=>(?[X]:((curious(X)|humble(X)))))&
(![X]:((creative(X)<~>~tall(X))=>(~quiet(X)&~tall(X))))&
(((~generous(paul)<~>~kind(paul)))<=>(?[X]:(~generous(X))))&
(![X]:((~patient(X)&strong(X))=>~patient(X)))&
((?[X]:((~happy(X)<~>humble(X))))<=>(~kind(fred)))&
((~funny(paul))<=>((brave(lucy)|quiet(lu... | ~happy(lucy) | [
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 218409994765594615624485
% SZS output start Proof for 218409994765594615624485
9. ! [X0] : ((strong(X0) | humble(X0)) => (~wise(X0) & tall(X0))) [input p8]
16. ? [X0] : (~happy(X0) | ~tall(X0)) => (~tall(susan) & ~funny(susan)) [input p15]
20. ~humble(susan) & strong(susan) [input p19]
25... | 0 |
If paul is not tall then someone is not patient. If someone is not creative then someone is either not curious or quiet. If someone is either happy or not brave then someone is both happy and creative and vice versa. Everyone who is not rich is either not rich or curious and vice versa. Everyone who is not curious is n... | Paul is curious. | contradiction | ((~tall(paul))=>(?[X]:(~patient(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~curious(X)<~>quiet(X)))))&
((?[X]:((happy(X)<~>~brave(X))))<=>(?[X]:((happy(X)&creative(X)))))&
(![X]:(~rich(X)<=>(~rich(X)<~>curious(X))))&
(![X]:(~curious(X)<=>~happy(X)))&
((?[X]:((~rich(X)&~brave(X))))<=>(?[X]:(~old(X))))&
(![X]:((happy(X)&pati... | curious(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8074933918775382889665637
% SZS output start Proof for 8074933918775382889665637
4. ! [X0] : (~rich(X0) <=> (~rich(X0) <~> curious(X0))) [input p3]
22. curious(paul) [input hypothesis]
48. ! [X0] : ((~rich(X0) | ((~rich(X0) | ~curious(X0)) & (curious(X0) | rich(X0)))) & (((~curious(X0) | ... | 0 |
If someone is not quiet then john is not humble and vice versa.
Everyone who is humble is creative or not strong.
If mary is humble or funny then someone is either not curious or not patient.
If someone is humble or tall then someone is either funny or humble.
Everyone who is both curious and not wise is happy or humbl... | Mary is not humble. | entailment | ((?[X]:(~quiet(X)))<=>(~humble(john)))&
(![X]:(humble(X)=>(creative(X)|~strong(X))))&
(((humble(mary)|funny(mary)))=>(?[X]:((~curious(X)<~>~patient(X)))))&
((?[X]:((humble(X)|tall(X))))=>(?[X]:((funny(X)<~>humble(X)))))&
(![X]:((curious(X)&~wise(X))<=>(happy(X)|humble(X))))&
((patient(mary))<=>(?[X]:((calm(X)&happy(X))... | ~humble(mary) | [
"p4",
"p9",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 370983947756147062556547
% SZS output start Proof for 370983947756147062556547
5. ! [X0] : ((~wise(X0) & curious(X0)) <=> (humble(X0) | happy(X0))) [input p4]
10. ! [X0] : ((~patient(X0) | ~quiet(X0)) <=> ~curious(X0)) [input p9]
12. patient(alice) <=> ? [X0] : quiet(X0) [input p11]
20. ~... | 0 |
If someone is not curious or calm then mary is either old or not quiet and vice versa. Everyone who is both not brave and patient is both old and rich and vice versa. Everyone who is either not wise or not strong is both not curious and happy and vice versa. Everyone who is calm or not brave is either calm or patient. ... | Paul is not tall. | contradiction | ((?[X]:((~curious(X)|calm(X))))<=>((old(mary)<~>~quiet(mary))))&
(![X]:((~brave(X)&patient(X))<=>(old(X)&rich(X))))&
(![X]:((~wise(X)<~>~strong(X))<=>(~curious(X)&happy(X))))&
(![X]:((calm(X)|~brave(X))=>(calm(X)<~>patient(X))))&
(![X]:((wise(X)|brave(X))=>(generous(X)&~curious(X))))&
(![X]:((~creative(X)<~>calm(X))<=>... | ~tall(paul) | [
"p11",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8432715231135003282598890
% SZS output start Proof for 8432715231135003282598890
12. ? [X0] : (funny(X0) <~> tall(X0)) <=> ? [X0] : (~old(X0) & curious(X0)) [input p11]
13. ! [X0] : ((~humble(X0) | strong(X0)) <=> (~happy(X0) <~> ~wise(X0))) [input p12]
14. ! [X0] : (~wise(X0) => funny(X0... | 0 |
If someone is not old or old then someone is either not funny or brave and vice versa.
Everyone who is not curious is both quiet and curious and vice versa.
Everyone who is either not happy or funny is both not tall and old.
If paul is both not happy and happy then someone is brave and vice versa.
Everyone who is eithe... | Paul is not rich. | entailment | ((?[X]:((~old(X)|old(X))))<=>(?[X]:((~funny(X)<~>brave(X)))))&
(![X]:(~curious(X)<=>(quiet(X)&curious(X))))&
(![X]:((~happy(X)<~>funny(X))=>(~tall(X)&old(X))))&
(((~happy(paul)&happy(paul)))<=>(?[X]:(brave(X))))&
(![X]:((kind(X)<~>funny(X))<=>calm(X)))&
((?[X]:((strong(X)<~>~generous(X))))=>(?[X]:((quiet(X)&~tall(X))))... | ~rich(paul) | [
"p3",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1000807346540624684521013
% SZS output start Proof for 1000807346540624684521013
4. (happy(paul) & ~happy(paul)) <=> ? [X0] : brave(X0) [input p3]
10. ! [X0] : (~strong(X0) => ~rich(X0)) [input p9]
11. ! [X0] : (old(X0) <=> (creative(X0) & brave(X0))) [input p10]
12. ! [X0] : ((creative(X... | 0 |
If someone is funny or creative then john is either not wise or not humble and vice versa. Everyone who is both funny and not strong is not curious or not generous. If fred is either curious or not generous then alice is both not happy and patient. If someone is either kind or not kind then someone is both not calm and... | Paul is not calm. | neutral | ((?[X]:((funny(X)|creative(X))))<=>((~wise(john)<~>~humble(john))))&
(![X]:((funny(X)&~strong(X))=>(~curious(X)|~generous(X))))&
(((curious(fred)<~>~generous(fred)))=>((~happy(alice)&patient(alice))))&
((?[X]:((kind(X)<~>~kind(X))))<=>(?[X]:((~calm(X)&~generous(X)))))&
(![X]:((funny(X)&old(X))<=>(curious(X)|strong(X)))... | ~calm(paul) | [] | null | 0 |
Everyone who is kind or not humble is either tall or strong.
If someone is happy then alice is both wise and not wise.
Everyone who is both not brave and rich is both not rich and kind and vice versa.
Everyone who is either not quiet or tall is either not funny or not patient.
If john is both not old and old then someo... | Alice is humble. | entailment | (![X]:((kind(X)|~humble(X))=>(tall(X)<~>strong(X))))&
((?[X]:(happy(X)))=>((wise(alice)&~wise(alice))))&
(![X]:((~brave(X)&rich(X))<=>(~rich(X)&kind(X))))&
(![X]:((~quiet(X)<~>tall(X))=>(~funny(X)<~>~patient(X))))&
(((~old(john)&old(john)))=>(?[X]:((old(X)&funny(X)))))&
(![X]:((~wise(X)|tall(X))=>~wise(X)))&
(((~strong... | humble(alice) | [
"p1",
"p2",
"p7",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8316342045131861181713696
% SZS output start Proof for 8316342045131861181713696
2. ? [X0] : happy(X0) => (~wise(alice) & wise(alice)) [input p1]
3. ! [X0] : ((rich(X0) & ~brave(X0)) <=> (kind(X0) & ~rich(X0))) [input p2]
8. (~tall(alice) & kind(alice)) <=> (~happy(alice) | brave(alice)) ... | 0 |
Everyone who is not curious or calm is patient and vice versa.
If lucy is kind then susan is not kind.
Everyone who is calm or not curious is either not patient or tall.
If someone is either not happy or not strong then susan is both funny and kind and vice versa.
If susan is either not funny or happy then someone is e... | Paul is wise. | entailment | (![X]:((~curious(X)|calm(X))<=>patient(X)))&
((kind(lucy))=>(~kind(susan)))&
(![X]:((calm(X)|~curious(X))=>(~patient(X)<~>tall(X))))&
((?[X]:((~happy(X)<~>~strong(X))))<=>((funny(susan)&kind(susan))))&
(((~funny(susan)<~>happy(susan)))=>(?[X]:((~generous(X)<~>generous(X)))))&
((wise(fred))<=>((happy(john)<~>~happy(john... | wise(paul) | [
"p5",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 145319573084493378298583
% SZS output start Proof for 145319573084493378298583
6. wise(fred) <=> (happy(john) <~> ~happy(john)) [input p5]
11. (~strong(fred) | wise(fred)) => strong(paul) [input p10]
14. ! [X0] : ((kind(X0) | ~wise(X0)) <=> (~strong(X0) & funny(X0))) [input p13]
23. ~wise... | 0 |
Everyone who is both not tall and quiet is either strong or not brave.
Everyone who is strong is happy and vice versa.
If fred is tall then someone is both not creative and strong and vice versa.
If mary is both kind and generous then someone is not patient or tall and vice versa.
If someone is not strong then someone ... | Paul is not funny. | contradiction | (![X]:((~tall(X)&quiet(X))=>(strong(X)<~>~brave(X))))&
(![X]:(strong(X)<=>happy(X)))&
((tall(fred))<=>(?[X]:((~creative(X)&strong(X)))))&
(((kind(mary)&generous(mary)))<=>(?[X]:((~patient(X)|tall(X)))))&
((?[X]:(~strong(X)))<=>(?[X]:((generous(X)<~>~quiet(X)))))&
(![X]:((~patient(X)|~generous(X))<=>old(X)))&
(((humble(... | ~funny(paul) | [
"p5",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7034551160049644420388208
% SZS output start Proof for 7034551160049644420388208
6. ! [X0] : ((~generous(X0) | ~patient(X0)) <=> old(X0)) [input p5]
10. ! [X0] : (old(X0) <=> (~rich(X0) & ~strong(X0))) [input p9]
14. (patient(paul) | ~funny(paul)) <=> ? [X0] : (happy(X0) & rich(X0)) [inpu... | 0 |
Everyone who is either not tall or not funny is both not tall and happy and vice versa. Everyone who is tall is not patient or not kind and vice versa. Everyone who is both not brave and not tall is either rich or calm and vice versa. Everyone who is either creative or kind is both quiet and rich. If lucy is old or not... | Lucy is kind. | entailment | (![X]:((~tall(X)<~>~funny(X))<=>(~tall(X)&happy(X))))&
(![X]:(tall(X)<=>(~patient(X)|~kind(X))))&
(![X]:((~brave(X)&~tall(X))<=>(rich(X)<~>calm(X))))&
(![X]:((creative(X)<~>kind(X))=>(quiet(X)&rich(X))))&
(((old(lucy)|~patient(lucy)))<=>(?[X]:((brave(X)&generous(X)))))&
(![X]:((~curious(X)&~funny(X))=>~rich(X)))&
(![X]... | kind(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8169096773855428282313099
% SZS output start Proof for 8169096773855428282313099
7. ! [X0] : ((~kind(X0) | old(X0)) => (kind(X0) & ~curious(X0))) [input p6]
23. ~kind(lucy) [input hypothesis]
28. ! [X0] : ((kind(X0) & ~curious(X0)) | (kind(X0) & ~old(X0))) [ennf transformation 7]
98. kind... | 0 |
Everyone who is both not old and not curious is kind or not rich and vice versa.
Everyone who is not generous or wise is quiet and vice versa.
If someone is not old or patient then someone is both not creative and not rich.
Everyone who is both not old and not patient is wise.
Everyone who is not patient or not kind is... | Susan is strong. | contradiction | (![X]:((~old(X)&~curious(X))<=>(kind(X)|~rich(X))))&
(![X]:((~generous(X)|wise(X))<=>quiet(X)))&
((?[X]:((~old(X)|patient(X))))=>(?[X]:((~creative(X)&~rich(X)))))&
(![X]:((~old(X)&~patient(X))=>wise(X)))&
(![X]:((~patient(X)|~kind(X))=>(~happy(X)&funny(X))))&
(![X]:((funny(X)&wise(X))=>(old(X)&~creative(X))))&
(((~kind... | strong(susan) | [
"p8",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2551695614000334260856396
% SZS output start Proof for 2551695614000334260856396
9. ! [X0] : ((calm(X0) <~> ~patient(X0)) <=> strong(X0)) [input p8]
13. ! [X0] : ((patient(X0) | generous(X0)) => (~generous(X0) & ~calm(X0))) [input p12]
16. ? [X0] : creative(X0) => (patient(susan) & ~gener... | 0 |
Everyone who is rich is both not creative and curious and vice versa.
Everyone who is kind is not kind or quiet and vice versa.
Everyone who is both not tall and humble is both generous and not curious.
Everyone who is both not humble and curious is both not brave and old.
If susan is either funny or not happy then som... | Susan is quiet. | entailment | (![X]:(rich(X)<=>(~creative(X)&curious(X))))&
(![X]:(kind(X)<=>(~kind(X)|quiet(X))))&
(![X]:((~tall(X)&humble(X))=>(generous(X)&~curious(X))))&
(![X]:((~humble(X)&curious(X))=>(~brave(X)&old(X))))&
(((funny(susan)<~>~happy(susan)))=>(?[X]:(~patient(X))))&
(((patient(john)|generous(john)))<=>(?[X]:((old(X)<~>~rich(X))))... | quiet(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 821609771860336259652979
% SZS output start Proof for 821609771860336259652979
2. ! [X0] : (kind(X0) <=> (quiet(X0) | ~kind(X0))) [input p1]
25. ~quiet(susan) [input hypothesis]
42. ! [X0] : ((kind(X0) | (~quiet(X0) & kind(X0))) & ((quiet(X0) | ~kind(X0)) | ~kind(X0))) [nnf transformation... | 0 |
If lucy is not old then fred is either kind or not curious and vice versa.
Everyone who is either calm or not wise is funny or not humble and vice versa.
If someone is both not quiet and strong then someone is strong.
If susan is either curious or patient then someone is humble and vice versa.
Everyone who is not rich ... | Mary is not rich. | contradiction | ((~old(lucy))<=>((kind(fred)<~>~curious(fred))))&
(![X]:((calm(X)<~>~wise(X))<=>(funny(X)|~humble(X))))&
((?[X]:((~quiet(X)&strong(X))))=>(?[X]:(strong(X))))&
(((curious(susan)<~>patient(susan)))<=>(?[X]:(humble(X))))&
(![X]:((~rich(X)|patient(X))<=>(humble(X)&rich(X))))&
(![X]:((wise(X)|~calm(X))=>(happy(X)&calm(X))))... | ~rich(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4254363205627503358371270
% SZS output start Proof for 4254363205627503358371270
5. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (rich(X0) & humble(X0))) [input p4]
22. ~rich(mary) [input hypothesis]
41. ! [X0] : (((patient(X0) | ~rich(X0)) | (~rich(X0) | ~humble(X0))) & ((rich(X0) & humble(X0... | 0 |
If someone is not old then someone is rich and vice versa. If someone is either not curious or funny then paul is not strong. If someone is not curious or humble then susan is both not brave and brave and vice versa. If someone is not rich then fred is quiet. If someone is either old or not patient then someone is not ... | Paul is not quiet. | contradiction | ((?[X]:(~old(X)))<=>(?[X]:(rich(X))))&
((?[X]:((~curious(X)<~>funny(X))))=>(~strong(paul)))&
((?[X]:((~curious(X)|humble(X))))<=>((~brave(susan)&brave(susan))))&
((?[X]:(~rich(X)))=>(quiet(fred)))&
((?[X]:((old(X)<~>~patient(X))))<=>(?[X]:((~brave(X)|~rich(X)))))&
(((patient(alice)&~rich(alice)))<=>((wise(fred)<~>~curi... | ~quiet(paul) | [
"p1",
"p2",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8748931282021290353267396
% SZS output start Proof for 8748931282021290353267396
2. ? [X0] : (~curious(X0) <~> funny(X0)) => ~strong(paul) [input p1]
3. ? [X0] : (humble(X0) | ~curious(X0)) <=> (brave(susan) & ~brave(susan)) [input p2]
10. ! [X0] : ((~curious(X0) <~> ~strong(X0)) => quiet... | 0 |
Everyone who is either strong or not funny is either creative or brave.
Everyone who is both not generous and not rich is both not calm and rich and vice versa.
Everyone who is happy is both generous and not quiet and vice versa.
Everyone who is strong is not old.
If someone is either funny or not curious then someone ... | John is not rich. | contradiction | (![X]:((strong(X)<~>~funny(X))=>(creative(X)<~>brave(X))))&
(![X]:((~generous(X)&~rich(X))<=>(~calm(X)&rich(X))))&
(![X]:(happy(X)<=>(generous(X)&~quiet(X))))&
(![X]:(strong(X)=>~old(X)))&
((?[X]:((funny(X)<~>~curious(X))))<=>(?[X]:((~old(X)|kind(X)))))&
((?[X]:((~brave(X)&~generous(X))))<=>(?[X]:((old(X)<~>patient(X))... | ~rich(john) | [
"p1",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7744047256512400297231386
% SZS output start Proof for 7744047256512400297231386
2. ! [X0] : ((~rich(X0) & ~generous(X0)) <=> (rich(X0) & ~calm(X0))) [input p1]
11. ! [X0] : (patient(X0) => (~brave(X0) & rich(X0))) [input p10]
13. ! [X0] : ((generous(X0) | ~creative(X0)) => patient(X0)) [... | 0 |
Everyone who is not humble is either not old or not humble and vice versa.
Everyone who is both not old and not funny is both not kind and curious.
If lucy is happy or patient then someone is both not generous and not patient and vice versa.
Everyone who is not happy or tall is both not happy and brave.
If someone is n... | Alice is tall. | contradiction | (![X]:(~humble(X)<=>(~old(X)<~>~humble(X))))&
(![X]:((~old(X)&~funny(X))=>(~kind(X)&curious(X))))&
(((happy(lucy)|patient(lucy)))<=>(?[X]:((~generous(X)&~patient(X)))))&
(![X]:((~happy(X)|tall(X))=>(~happy(X)&brave(X))))&
((?[X]:((~humble(X)|tall(X))))<=>(?[X]:((~wise(X)|creative(X)))))&
(![X]:((brave(X)&old(X))<=>(~ge... | tall(alice) | [
"p0",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6815353111960822694555334
% SZS output start Proof for 6815353111960822694555334
1. ! [X0] : (~humble(X0) <=> (~old(X0) <~> ~humble(X0))) [input p0]
12. ! [X0] : (tall(X0) <=> humble(X0)) [input p11]
15. ! [X0] : ((generous(X0) | ~generous(X0)) => (old(X0) <~> humble(X0))) [input p14]
24.... | 0 |
If someone is not old or not calm then someone is rich or not brave.
Everyone who is curious or patient is both humble and not humble.
Everyone who is both funny and not wise is creative or patient and vice versa.
Everyone who is not tall is funny or humble and vice versa.
Everyone who is happy or generous is both stro... | Lucy is strong. | neutral | ((?[X]:((~old(X)|~calm(X))))=>(?[X]:((rich(X)|~brave(X)))))&
(![X]:((curious(X)|patient(X))=>(humble(X)&~humble(X))))&
(![X]:((funny(X)&~wise(X))<=>(creative(X)|patient(X))))&
(![X]:(~tall(X)<=>(funny(X)|humble(X))))&
(![X]:((happy(X)|generous(X))=>(strong(X)&generous(X))))&
(((creative(lucy)|strong(lucy)))<=>((~funny(... | strong(lucy) | [] | null | 0 |
Everyone who is both not funny and not curious is not generous. Everyone who is not creative is curious. If someone is not tall then alice is both wise and generous and vice versa. If lucy is not patient or calm then someone is both strong and not calm and vice versa. Everyone who is either curious or not creative is q... | Paul is happy. | contradiction | (![X]:((~funny(X)&~curious(X))=>~generous(X)))&
(![X]:(~creative(X)=>curious(X)))&
((?[X]:(~tall(X)))<=>((wise(alice)&generous(alice))))&
(((~patient(lucy)|calm(lucy)))<=>(?[X]:((strong(X)&~calm(X)))))&
(![X]:((curious(X)<~>~creative(X))<=>(quiet(X)|creative(X))))&
(((~calm(john)<~>brave(john)))=>(?[X]:((brave(X)&~quie... | happy(paul) | [
"p8",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6411946497424029458521346
% SZS output start Proof for 6411946497424029458521346
9. ! [X0] : (~strong(X0) <=> (happy(X0) & ~funny(X0))) [input p8]
14. ! [X0] : ((generous(X0) & ~brave(X0)) <=> (funny(X0) <~> ~strong(X0))) [input p13]
17. brave(paul) [input p16]
24. happy(paul) [input hypo... | 0 |
Everyone who is both not strong and not generous is not happy or not kind and vice versa.
If someone is either not calm or not generous then someone is rich or wise and vice versa.
Everyone who is either kind or humble is either not patient or not old and vice versa.
Everyone who is old is either humble or not generous... | Lucy is not old. | entailment | (![X]:((~strong(X)&~generous(X))<=>(~happy(X)|~kind(X))))&
((?[X]:((~calm(X)<~>~generous(X))))<=>(?[X]:((rich(X)|wise(X)))))&
(![X]:((kind(X)<~>humble(X))<=>(~patient(X)<~>~old(X))))&
(![X]:(old(X)=>(humble(X)<~>~generous(X))))&
(![X]:((~calm(X)<~>kind(X))<=>~happy(X)))&
((?[X]:((~brave(X)&wise(X))))<=>((curious(alice)... | ~old(lucy) | [
"p0",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6043770488796780788575961
% SZS output start Proof for 6043770488796780788575961
1. ! [X0] : ((~generous(X0) & ~strong(X0)) <=> (~kind(X0) | ~happy(X0))) [input p0]
5. ! [X0] : ((~calm(X0) <~> kind(X0)) <=> ~happy(X0)) [input p4]
10. ! [X0] : (old(X0) => (generous(X0) & calm(X0))) [input ... | 0 |
Everyone who is not creative is old. Everyone who is wise or not wise is both funny and not old. If someone is both not creative and not humble then mary is not happy or not old. If someone is happy or not wise then lucy is not generous. If alice is both not creative and not calm then mary is strong. Everyone who is ol... | Lucy is humble. | contradiction | (![X]:(~creative(X)=>old(X)))&
(![X]:((wise(X)|~wise(X))=>(funny(X)&~old(X))))&
((?[X]:((~creative(X)&~humble(X))))=>((~happy(mary)|~old(mary))))&
((?[X]:((happy(X)|~wise(X))))=>(~generous(lucy)))&
(((~creative(alice)&~calm(alice)))=>(strong(mary)))&
(![X]:((old(X)|~humble(X))<=>(wise(X)|humble(X))))&
(![X]:((strong(X)... | humble(lucy) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 90705435490146286256697
% SZS output start Proof for 90705435490146286256697
2. ! [X0] : ((~wise(X0) | wise(X0)) => (~old(X0) & funny(X0))) [input p1]
6. ! [X0] : ((~humble(X0) | old(X0)) <=> (humble(X0) | wise(X0))) [input p5]
21. humble(lucy) [input hypothesis]
26. ! [X0] : ((~old(X0) &... | 0 |
If john is not happy or not patient then someone is kind.
If someone is both funny and not funny then someone is patient and vice versa.
Everyone who is generous or quiet is tall or not happy.
Everyone who is not calm is either rich or not quiet and vice versa.
Everyone who is creative is either rich or creative and vi... | Fred is not kind. | neutral | (((~happy(john)|~patient(john)))=>(?[X]:(kind(X))))&
((?[X]:((funny(X)&~funny(X))))<=>(?[X]:(patient(X))))&
(![X]:((generous(X)|quiet(X))=>(tall(X)|~happy(X))))&
(![X]:(~calm(X)<=>(rich(X)<~>~quiet(X))))&
(![X]:(creative(X)<=>(rich(X)<~>creative(X))))&
((?[X]:((~generous(X)&~kind(X))))=>(?[X]:((~funny(X)<~>~generous(X)... | ~kind(fred) | [] | null | 0 |
Everyone who is not strong or not creative is either tall or not quiet and vice versa.
Everyone who is either happy or not tall is both creative and old.
Everyone who is both not wise and creative is not wise.
Everyone who is either old or patient is both not strong and creative.
Everyone who is both not quiet and not ... | John is not generous. | contradiction | (![X]:((~strong(X)|~creative(X))<=>(tall(X)<~>~quiet(X))))&
(![X]:((happy(X)<~>~tall(X))=>(creative(X)&old(X))))&
(![X]:((~wise(X)&creative(X))=>~wise(X)))&
(![X]:((old(X)<~>patient(X))=>(~strong(X)&creative(X))))&
(![X]:((~quiet(X)&~tall(X))=>(creative(X)|~humble(X))))&
((?[X]:((brave(X)<~>~quiet(X))))<=>(?[X]:((old(X... | ~generous(john) | [
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8545305280731240511594097
% SZS output start Proof for 8545305280731240511594097
10. ! [X0] : ((curious(X0) | ~humble(X0)) => generous(X0)) [input p9]
13. (~humble(john) | ~curious(john)) => ? [X0] : (~quiet(X0) & calm(X0)) [input p12]
14. ! [X0] : ((funny(X0) | ~calm(X0)) <=> ~funny(X0))... | 0 |
If someone is both calm and not quiet then someone is either not quiet or not brave and vice versa.
Everyone who is both curious and old is either not tall or not quiet and vice versa.
Everyone who is either not funny or quiet is quiet or not funny.
Everyone who is not funny is not happy and vice versa.
Everyone who is... | Alice is not old. | entailment | ((?[X]:((calm(X)&~quiet(X))))<=>(?[X]:((~quiet(X)<~>~brave(X)))))&
(![X]:((curious(X)&old(X))<=>(~tall(X)<~>~quiet(X))))&
(![X]:((~funny(X)<~>quiet(X))=>(quiet(X)|~funny(X))))&
(![X]:(~funny(X)<=>~happy(X)))&
(![X]:(~curious(X)=>(happy(X)|~quiet(X))))&
(![X]:((~humble(X)|~brave(X))=>wise(X)))&
((?[X]:(~wise(X)))<=>(?[X... | ~old(alice) | [
"p1",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5853635736133083043531518
% SZS output start Proof for 5853635736133083043531518
2. ! [X0] : ((old(X0) & curious(X0)) <=> (~tall(X0) <~> ~quiet(X0))) [input p1]
10. ? [X0] : kind(X0) <=> ? [X0] : quiet(X0) [input p9]
12. ! [X0] : (kind(X0) => ~kind(X0)) [input p11]
13. ? [X0] : (~curious(... | 0 |
Everyone who is both not quiet and not generous is happy or not brave.
Everyone who is strong is not generous or rich.
If paul is not patient or kind then lucy is either brave or quiet.
Everyone who is not patient or not quiet is not calm.
If alice is both not calm and not curious then mary is not kind and vice versa.
... | Fred is not generous. | contradiction | (![X]:((~quiet(X)&~generous(X))=>(happy(X)|~brave(X))))&
(![X]:(strong(X)=>(~generous(X)|rich(X))))&
(((~patient(paul)|kind(paul)))=>((brave(lucy)<~>quiet(lucy))))&
(![X]:((~patient(X)|~quiet(X))=>~calm(X)))&
(((~calm(alice)&~curious(alice)))<=>(~kind(mary)))&
(![X]:((old(X)|~humble(X))<=>(patient(X)&~brave(X))))&
((?[... | ~generous(fred) | [
"p5",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1816000175115475292293286
% SZS output start Proof for 1816000175115475292293286
6. ! [X0] : ((~humble(X0) | old(X0)) <=> (~brave(X0) & patient(X0))) [input p5]
9. ! [X0] : (brave(X0) => ~humble(X0)) [input p8]
16. ! [X0] : ((~brave(X0) | kind(X0)) <=> generous(X0)) [input p15]
23. ~gener... | 0 |
Everyone who is both not kind and happy is kind and vice versa.
If lucy is quiet or calm then john is creative or not generous.
If alice is both strong and kind then mary is not calm or generous.
If mary is either creative or not patient then someone is either strong or quiet.
Everyone who is strong or wise is either q... | Mary is not patient. | entailment | (![X]:((~kind(X)&happy(X))<=>kind(X)))&
(((quiet(lucy)|calm(lucy)))=>((creative(john)|~generous(john))))&
(((strong(alice)&kind(alice)))=>((~calm(mary)|generous(mary))))&
(((creative(mary)<~>~patient(mary)))=>(?[X]:((strong(X)<~>quiet(X)))))&
(![X]:((strong(X)|wise(X))<=>(quiet(X)<~>happy(X))))&
((?[X]:((~old(X)|~brave... | ~patient(mary) | [
"p0",
"p3",
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1385811840802229749136050
% SZS output start Proof for 1385811840802229749136050
1. ! [X0] : ((happy(X0) & ~kind(X0)) <=> kind(X0)) [input p0]
4. (creative(mary) <~> ~patient(mary)) => ? [X0] : (strong(X0) <~> quiet(X0)) [input p3]
5. ! [X0] : ((wise(X0) | strong(X0)) <=> (quiet(X0) <~> h... | 0 |
If someone is not tall or not strong then someone is tall or strong.
If someone is either strong or rich then alice is both not creative and not funny.
Everyone who is old is rich.
Everyone who is brave is both not funny and not wise and vice versa.
If someone is both not humble and kind then john is not patient.
Every... | Fred is not happy. | contradiction | ((?[X]:((~tall(X)|~strong(X))))=>(?[X]:((tall(X)|strong(X)))))&
((?[X]:((strong(X)<~>rich(X))))=>((~creative(alice)&~funny(alice))))&
(![X]:(old(X)=>rich(X)))&
(![X]:(brave(X)<=>(~funny(X)&~wise(X))))&
((?[X]:((~humble(X)&kind(X))))=>(~patient(john)))&
(![X]:((~patient(X)|~funny(X))<=>(~humble(X)<~>~strong(X))))&
(![X]... | ~happy(fred) | [
"p1",
"p5",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 91843134711608365678608
% SZS output start Proof for 91843134711608365678608
2. ? [X0] : (strong(X0) <~> rich(X0)) => (~funny(alice) & ~creative(alice)) [input p1]
6. ! [X0] : ((~funny(X0) | ~patient(X0)) <=> (~humble(X0) <~> ~strong(X0))) [input p5]
7. ! [X0] : ((happy(X0) <~> patient(X0... | 0 |
If lucy is old then susan is either patient or curious. Everyone who is not calm is both quiet and not generous. If someone is not funny or not patient then lucy is both not rich and brave. If mary is both happy and humble then lucy is both not generous and creative. If mary is not curious then someone is either old or... | Mary is not patient. | contradiction | ((old(lucy))=>((patient(susan)<~>curious(susan))))&
(![X]:(~calm(X)=>(quiet(X)&~generous(X))))&
((?[X]:((~funny(X)|~patient(X))))=>((~rich(lucy)&brave(lucy))))&
(((happy(mary)&humble(mary)))=>((~generous(lucy)&creative(lucy))))&
((~curious(mary))=>(?[X]:((old(X)<~>brave(X)))))&
((?[X]:((old(X)&rich(X))))=>((~brave(alic... | ~patient(mary) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7611736171597288959293682
% SZS output start Proof for 7611736171597288959293682
3. ? [X0] : (~patient(X0) | ~funny(X0)) => (brave(lucy) & ~rich(lucy)) [input p2]
13. ! [X0] : ((brave(X0) | curious(X0)) <=> (calm(X0) & ~brave(X0))) [input p12]
23. ~patient(mary) [input hypothesis]
28. (br... | 0 |
Everyone who is either strong or not tall is both happy and funny and vice versa. If someone is brave or humble then someone is not happy and vice versa. If susan is both strong and not generous then someone is either not creative or happy. Everyone who is either not kind or not tall is calm or not generous and vice ve... | Susan is old. | neutral | (![X]:((strong(X)<~>~tall(X))<=>(happy(X)&funny(X))))&
((?[X]:((brave(X)|humble(X))))<=>(?[X]:(~happy(X))))&
(((strong(susan)&~generous(susan)))=>(?[X]:((~creative(X)<~>happy(X)))))&
(![X]:((~kind(X)<~>~tall(X))<=>(calm(X)|~generous(X))))&
((?[X]:((~old(X)<~>~calm(X))))<=>((~calm(alice)&~humble(alice))))&
(![X]:(~happy... | old(susan) | [] | null | 0 |
Everyone who is brave is humble or patient and vice versa.
Everyone who is not old is brave or not generous and vice versa.
If lucy is both rich and kind then someone is both not brave and generous.
Everyone who is either curious or not quiet is strong or not quiet and vice versa.
Everyone who is both creative and stro... | Fred is humble. | neutral | (![X]:(brave(X)<=>(humble(X)|patient(X))))&
(![X]:(~old(X)<=>(brave(X)|~generous(X))))&
(((rich(lucy)&kind(lucy)))=>(?[X]:((~brave(X)&generous(X)))))&
(![X]:((curious(X)<~>~quiet(X))<=>(strong(X)|~quiet(X))))&
(![X]:((creative(X)&strong(X))=>humble(X)))&
(![X]:((creative(X)|~kind(X))<=>(~quiet(X)&generous(X))))&
(![X]:... | humble(fred) | [] | null | 0 |
If alice is either not generous or not creative then fred is either humble or not tall. Everyone who is not tall is both generous and patient. If someone is not brave or not strong then someone is not tall or quiet. If someone is both kind and funny then lucy is not generous and vice versa. Everyone who is rich or calm... | Fred is quiet. | contradiction | (((~generous(alice)<~>~creative(alice)))=>((humble(fred)<~>~tall(fred))))&
(![X]:(~tall(X)=>(generous(X)&patient(X))))&
((?[X]:((~brave(X)|~strong(X))))=>(?[X]:((~tall(X)|quiet(X)))))&
((?[X]:((kind(X)&funny(X))))<=>(~generous(lucy)))&
(![X]:((rich(X)|calm(X))<=>(funny(X)<~>generous(X))))&
(![X]:((creative(X)<~>~funny(... | quiet(fred) | [
"p1",
"p4",
"p5",
"p6",
"p7",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3783780815494071949455578
% SZS output start Proof for 3783780815494071949455578
2. ! [X0] : (~tall(X0) => (patient(X0) & generous(X0))) [input p1]
5. ! [X0] : ((calm(X0) | rich(X0)) <=> (funny(X0) <~> generous(X0))) [input p4]
6. ! [X0] : ((creative(X0) <~> ~funny(X0)) <=> (creative(X0) ... | 0 |
If someone is either old or calm then alice is not humble or creative and vice versa.
If someone is both not patient and creative then someone is wise and vice versa.
If lucy is both patient and not generous then someone is not curious or calm and vice versa.
Everyone who is not generous is either not kind or not quiet... | Fred is funny. | neutral | ((?[X]:((old(X)<~>calm(X))))<=>((~humble(alice)|creative(alice))))&
((?[X]:((~patient(X)&creative(X))))<=>(?[X]:(wise(X))))&
(((patient(lucy)&~generous(lucy)))<=>(?[X]:((~curious(X)|calm(X)))))&
(![X]:(~generous(X)=>(~kind(X)<~>~quiet(X))))&
((?[X]:((~strong(X)<~>rich(X))))=>((~happy(lucy)|~kind(lucy))))&
(![X]:((rich(... | funny(fred) | [] | null | 0 |
Everyone who is not creative is not curious and vice versa. Everyone who is both old and tall is both not strong and kind and vice versa. Everyone who is not funny is happy. Everyone who is either not brave or patient is not happy. Everyone who is both creative and not curious is either wise or quiet. If mary is genero... | Alice is creative. | contradiction | (![X]:(~creative(X)<=>~curious(X)))&
(![X]:((old(X)&tall(X))<=>(~strong(X)&kind(X))))&
(![X]:(~funny(X)=>happy(X)))&
(![X]:((~brave(X)<~>patient(X))=>~happy(X)))&
(![X]:((creative(X)&~curious(X))=>(wise(X)<~>quiet(X))))&
(((generous(mary)|~quiet(mary)))=>((humble(alice)&~strong(alice))))&
((funny(paul))<=>((curious(luc... | creative(alice) | [
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9146000738324305042384956
% SZS output start Proof for 9146000738324305042384956
14. ! [X0] : (funny(X0) => (~creative(X0) & ~calm(X0))) [input p13]
23. funny(alice) [input p22]
24. creative(alice) [input hypothesis]
39. ! [X0] : ((~creative(X0) & ~calm(X0)) | ~funny(X0)) [ennf transforma... | 0 |
Everyone who is not old or generous is patient.
If someone is not patient then fred is both not old and not tall and vice versa.
Everyone who is either old or generous is both creative and brave.
Everyone who is both quiet and curious is not patient or not brave.
Everyone who is not quiet or not creative is either curi... | Mary is brave. | contradiction | (![X]:((~old(X)|generous(X))=>patient(X)))&
((?[X]:(~patient(X)))<=>((~old(fred)&~tall(fred))))&
(![X]:((old(X)<~>generous(X))=>(creative(X)&brave(X))))&
(![X]:((quiet(X)&curious(X))=>(~patient(X)|~brave(X))))&
(![X]:((~quiet(X)|~creative(X))=>(curious(X)<~>~rich(X))))&
(((~humble(susan)&~old(susan)))<=>(~happy(mary)))... | brave(mary) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2146825844554336522833130
% SZS output start Proof for 2146825844554336522833130
1. ! [X0] : ((generous(X0) | ~old(X0)) => patient(X0)) [input p0]
2. ? [X0] : ~patient(X0) <=> (~tall(fred) & ~old(fred)) [input p1]
3. ! [X0] : ((old(X0) <~> generous(X0)) => (brave(X0) & creative(X0))) [inp... | 0 |
If lucy is not generous then lucy is old or calm and vice versa.
If someone is old or quiet then lucy is either patient or not creative.
Everyone who is old or patient is old and vice versa.
Everyone who is not curious or wise is happy and vice versa.
Everyone who is not brave or rich is both kind and brave.
Everyone w... | Lucy is generous. | contradiction | ((~generous(lucy))<=>((old(lucy)|calm(lucy))))&
((?[X]:((old(X)|quiet(X))))=>((patient(lucy)<~>~creative(lucy))))&
(![X]:((old(X)|patient(X))<=>old(X)))&
(![X]:((~curious(X)|wise(X))<=>happy(X)))&
(![X]:((~brave(X)|rich(X))=>(kind(X)&brave(X))))&
(![X]:((funny(X)<~>creative(X))=>(calm(X)&~kind(X))))&
(![X]:((~patient(X... | generous(lucy) | [
"p0",
"p2",
"p4",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7365529266887759166376032
% SZS output start Proof for 7365529266887759166376032
1. ~generous(lucy) <=> (calm(lucy) | old(lucy)) [input p0]
3. ! [X0] : ((patient(X0) | old(X0)) <=> old(X0)) [input p2]
5. ! [X0] : ((rich(X0) | ~brave(X0)) => (brave(X0) & kind(X0))) [input p4]
7. ! [X0] : (... | 0 |
Everyone who is either not calm or kind is either not curious or not humble and vice versa. If susan is both humble and quiet then mary is creative or kind and vice versa. Everyone who is either brave or not brave is both not strong and generous. Everyone who is both not old and not curious is not happy or curious and ... | Mary is tall. | contradiction | (![X]:((~calm(X)<~>kind(X))<=>(~curious(X)<~>~humble(X))))&
(((humble(susan)&quiet(susan)))<=>((creative(mary)|kind(mary))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious(X))<=>(~happy(X)|curious(X))))&
(![X]:((happy(X)<~>generous(X))=>(funny(X)<~>~patient(X))))&
((?[X]:((~kind(X)... | tall(mary) | [
"p2",
"p3",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5944290137891688859568892
% SZS output start Proof for 5944290137891688859568892
3. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (generous(X0) & ~strong(X0))) [input p2]
4. ! [X0] : ((~curious(X0) & ~old(X0)) <=> (curious(X0) | ~happy(X0))) [input p3]
9. ? [X0] : (strong(X0) <~> tall(X0)) => h... | 0 |
Everyone who is not tall is rich.
If john is funny or not strong then someone is not old or patient.
If paul is not wise then alice is both not curious and not calm and vice versa.
Everyone who is not humble is both not calm and brave.
If paul is either patient or not humble then fred is wise or strong.
Everyone who is... | John is funny. | entailment | (![X]:(~tall(X)=>rich(X)))&
(((funny(john)|~strong(john)))=>(?[X]:((~old(X)|patient(X)))))&
((~wise(paul))<=>((~curious(alice)&~calm(alice))))&
(![X]:(~humble(X)=>(~calm(X)&brave(X))))&
(((patient(paul)<~>~humble(paul)))=>((wise(fred)|strong(fred))))&
(![X]:((funny(X)|~wise(X))<=>rich(X)))&
(![X]:((kind(X)<~>~kind(X))=... | funny(john) | [
"p0",
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3132504637234414543465991
% SZS output start Proof for 3132504637234414543465991
1. ! [X0] : (~tall(X0) => rich(X0)) [input p0]
6. ! [X0] : ((~wise(X0) | funny(X0)) <=> rich(X0)) [input p5]
8. ! [X0] : (tall(X0) <=> (~wise(X0) & ~patient(X0))) [input p7]
15. ! [X0] : ((calm(X0) & funny(X0... | 0 |
Everyone who is not humble is either creative or quiet and vice versa. If mary is both not funny and not kind then someone is patient or old. Everyone who is not brave is both calm and creative. Everyone who is either happy or not brave is both quiet and not generous and vice versa. Everyone who is both not strong and ... | Mary is quiet. | entailment | (![X]:(~humble(X)<=>(creative(X)<~>quiet(X))))&
(((~funny(mary)&~kind(mary)))=>(?[X]:((patient(X)|old(X)))))&
(![X]:(~brave(X)=>(calm(X)&creative(X))))&
(![X]:((happy(X)<~>~brave(X))<=>(quiet(X)&~generous(X))))&
(![X]:((~strong(X)&humble(X))=>(~patient(X)&~generous(X))))&
(![X]:((~strong(X)<~>~quiet(X))<=>(curious(X)<~... | quiet(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1070495591779491787487512
% SZS output start Proof for 1070495591779491787487512
22. quiet(mary) [input p21]
25. ~quiet(mary) [input hypothesis]
138. quiet(mary) [cnf transformation 22]
141. ~quiet(mary) [cnf transformation 25]
254. $false [subsumption resolution 141,138]
% SZS output end... | 0 |
If someone is not rich then someone is not generous or curious and vice versa.
Everyone who is both quiet and creative is rich.
If lucy is both creative and not curious then paul is both happy and not old and vice versa.
If someone is both curious and not creative then someone is both happy and brave and vice versa.
If... | Paul is not calm. | neutral | ((?[X]:(~rich(X)))<=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:((quiet(X)&creative(X))=>rich(X)))&
(((creative(lucy)&~curious(lucy)))<=>((happy(paul)&~old(paul))))&
((?[X]:((curious(X)&~creative(X))))<=>(?[X]:((happy(X)&brave(X)))))&
(((old(lucy)<~>kind(lucy)))=>(?[X]:(brave(X))))&
(![X]:((~rich(X)|curious(X))<=>(funn... | ~calm(paul) | [] | null | 0 |
Everyone who is old is both not quiet and creative.
If someone is both not tall and calm then someone is wise and vice versa.
If susan is not quiet or strong then someone is not generous or not wise.
Everyone who is both not calm and not curious is not calm or not strong and vice versa.
Everyone who is both wise and no... | Susan is not wise. | contradiction | (![X]:(old(X)=>(~quiet(X)&creative(X))))&
((?[X]:((~tall(X)&calm(X))))<=>(?[X]:(wise(X))))&
(((~quiet(susan)|strong(susan)))=>(?[X]:((~generous(X)|~wise(X)))))&
(![X]:((~calm(X)&~curious(X))<=>(~calm(X)|~strong(X))))&
(![X]:((wise(X)&~funny(X))<=>(~funny(X)<~>patient(X))))&
(![X]:((brave(X)<~>~old(X))=>(~rich(X)&~wise(... | ~wise(susan) | [
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2370973376369791077352430
% SZS output start Proof for 2370973376369791077352430
11. ! [X0] : ((~patient(X0) & ~curious(X0)) <=> patient(X0)) [input p10]
15. ? [X0] : (~brave(X0) | brave(X0)) <=> (curious(susan) <~> ~wise(susan)) [input p14]
25. ~wise(susan) [input hypothesis]
53. ! [X0] ... | 0 |
Everyone who is either creative or humble is tall and vice versa.
If someone is either tall or old then someone is both not creative and not kind.
If someone is not quiet then mary is not generous or not tall.
Everyone who is either generous or happy is both old and not creative.
If someone is not kind then paul is eit... | Susan is not funny. | entailment | (![X]:((creative(X)<~>humble(X))<=>tall(X)))&
((?[X]:((tall(X)<~>old(X))))=>(?[X]:((~creative(X)&~kind(X)))))&
((?[X]:(~quiet(X)))=>((~generous(mary)|~tall(mary))))&
(![X]:((generous(X)<~>happy(X))=>(old(X)&~creative(X))))&
((?[X]:(~kind(X)))=>((quiet(paul)<~>curious(paul))))&
(![X]:((~strong(X)|calm(X))<=>(humble(X)&~... | ~funny(susan) | [
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8879724300535827940599175
% SZS output start Proof for 8879724300535827940599175
6. ! [X0] : ((calm(X0) | ~strong(X0)) <=> (~wise(X0) & humble(X0))) [input p5]
9. ! [X0] : (~wise(X0) => (~kind(X0) & kind(X0))) [input p8]
12. ! [X0] : ((~quiet(X0) | ~calm(X0)) => (funny(X0) <~> wise(X0))) ... | 0 |
If lucy is both curious and wise then lucy is not curious and vice versa. Everyone who is quiet or not funny is patient or not humble and vice versa. Everyone who is both happy and calm is wise or not brave and vice versa. If lucy is both happy and not old then someone is both not wise and not strong. If someone is bot... | Alice is not tall. | contradiction | (((curious(lucy)&wise(lucy)))<=>(~curious(lucy)))&
(![X]:((quiet(X)|~funny(X))<=>(patient(X)|~humble(X))))&
(![X]:((happy(X)&calm(X))<=>(wise(X)|~brave(X))))&
(((happy(lucy)&~old(lucy)))=>(?[X]:((~wise(X)&~strong(X)))))&
((?[X]:((funny(X)&~rich(X))))=>(~tall(lucy)))&
(![X]:((rich(X)<~>~funny(X))<=>patient(X)))&
(![X]:(... | ~tall(alice) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p10",
"p11",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8137614100202709552109122
% SZS output start Proof for 8137614100202709552109122
1. (wise(lucy) & curious(lucy)) <=> ~curious(lucy) [input p0]
2. ! [X0] : ((~funny(X0) | quiet(X0)) <=> (~humble(X0) | patient(X0))) [input p1]
3. ! [X0] : ((calm(X0) & happy(X0)) <=> (~brave(X0) | wise(X0)))... | 0 |
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