premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is not strong then someone is either not brave or wise and vice versa.
Everyone who is both patient and not rich is strong or not old and vice versa.
If mary is kind or patient then alice is not tall or not kind and vice versa.
If paul is either tall or not creative then someone is both not creative and pati... | Susan is not old. | contradiction | ((?[X]:(~strong(X)))<=>(?[X]:((~brave(X)<~>wise(X)))))&
(![X]:((patient(X)&~rich(X))<=>(strong(X)|~old(X))))&
(((kind(mary)|patient(mary)))<=>((~tall(alice)|~kind(alice))))&
(((tall(paul)<~>~creative(paul)))<=>(?[X]:((~creative(X)&patient(X)))))&
(((old(mary)<~>strong(mary)))<=>(?[X]:((~wise(X)<~>~curious(X)))))&
((~cu... | ~old(susan) | [
"p1",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4004210393411676419767714
% SZS output start Proof for 4004210393411676419767714
2. ! [X0] : ((~rich(X0) & patient(X0)) <=> (~old(X0) | strong(X0))) [input p1]
10. ! [X0] : ((~brave(X0) & ~tall(X0)) <=> ~rich(X0)) [input p9]
14. ! [X0] : (old(X0) <=> (old(X0) <~> ~tall(X0))) [input p13]
2... | 0 |
If susan is not quiet or not generous then john is both not brave and not strong. Everyone who is both brave and not kind is generous or old. Everyone who is funny is both not kind and quiet and vice versa. If someone is funny or patient then susan is calm. Everyone who is rich or not calm is either not humble or humbl... | John is not brave. | entailment | (((~quiet(susan)|~generous(susan)))=>((~brave(john)&~strong(john))))&
(![X]:((brave(X)&~kind(X))=>(generous(X)|old(X))))&
(![X]:(funny(X)<=>(~kind(X)&quiet(X))))&
((?[X]:((funny(X)|patient(X))))=>(calm(susan)))&
(![X]:((rich(X)|~calm(X))<=>(~humble(X)<~>humble(X))))&
(![X]:(strong(X)<=>~kind(X)))&
(![X]:((~happy(X)&pat... | ~brave(john) | [
"p0",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 344104349881668413751514
% SZS output start Proof for 344104349881668413751514
1. (~generous(susan) | ~quiet(susan)) => (~strong(john) & ~brave(john)) [input p0]
6. ! [X0] : (strong(X0) <=> ~kind(X0)) [input p5]
13. ! [X0] : ((generous(X0) | patient(X0)) <=> (~kind(X0) & ~strong(X0))) [in... | 0 |
If john is both not calm and brave then paul is either old or not quiet.
If someone is both not curious and brave then someone is either quiet or not rich and vice versa.
Everyone who is not kind is either happy or creative.
If someone is either not curious or strong then someone is not funny or not creative.
Everyone ... | Lucy is not old. | neutral | (((~calm(john)&brave(john)))=>((old(paul)<~>~quiet(paul))))&
((?[X]:((~curious(X)&brave(X))))<=>(?[X]:((quiet(X)<~>~rich(X)))))&
(![X]:(~kind(X)=>(happy(X)<~>creative(X))))&
((?[X]:((~curious(X)<~>strong(X))))=>(?[X]:((~funny(X)|~creative(X)))))&
(![X]:((~old(X)&~brave(X))<=>(~rich(X)|patient(X))))&
(((humble(lucy)<~>~... | ~old(lucy) | [] | null | 0 |
If someone is both tall and not humble then someone is wise or not patient and vice versa. Everyone who is both strong and generous is both humble and not creative and vice versa. Everyone who is either not kind or not brave is not creative. If someone is not curious then mary is not calm or not generous and vice versa... | Alice is old. | contradiction | ((?[X]:((tall(X)&~humble(X))))<=>(?[X]:((wise(X)|~patient(X)))))&
(![X]:((strong(X)&generous(X))<=>(humble(X)&~creative(X))))&
(![X]:((~kind(X)<~>~brave(X))=>~creative(X)))&
((?[X]:(~curious(X)))<=>((~calm(mary)|~generous(mary))))&
(![X]:((~old(X)<~>curious(X))=>(curious(X)&~tall(X))))&
(![X]:((~creative(X)&strong(X))=... | old(alice) | [
"p1",
"p5",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1453359926627639284551539
% SZS output start Proof for 1453359926627639284551539
2. ! [X0] : ((generous(X0) & strong(X0)) <=> (~creative(X0) & humble(X0))) [input p1]
6. ! [X0] : ((strong(X0) & ~creative(X0)) => (~tall(X0) | humble(X0))) [input p5]
7. ! [X0] : ((~funny(X0) & strong(X0)) <... | 0 |
If someone is old or generous then fred is both humble and not strong.
Everyone who is both curious and funny is both wise and not generous and vice versa.
Everyone who is both not creative and not calm is not curious or not brave and vice versa.
If someone is either not calm or strong then someone is humble and vice v... | Mary is humble. | entailment | ((?[X]:((old(X)|generous(X))))=>((humble(fred)&~strong(fred))))&
(![X]:((curious(X)&funny(X))<=>(wise(X)&~generous(X))))&
(![X]:((~creative(X)&~calm(X))<=>(~curious(X)|~brave(X))))&
((?[X]:((~calm(X)<~>strong(X))))<=>(?[X]:(humble(X))))&
(((~old(john)<~>funny(john)))<=>(?[X]:((~creative(X)|quiet(X)))))&
(![X]:((calm(X)... | humble(mary) | [
"p9",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5780502763604932078191598
% SZS output start Proof for 5780502763604932078191598
10. tall(mary) <=> ? [X0] : ~old(X0) [input p9]
12. ! [X0] : ((humble(X0) & brave(X0)) <=> tall(X0)) [input p11]
24. ? [X0] : (~old(X0) & ~wise(X0)) [input p23]
25. ~humble(mary) [input hypothesis]
54. (tall(... | 0 |
Everyone who is not kind or not quiet is curious.
Everyone who is either funny or not patient is both not creative and calm and vice versa.
If someone is quiet then susan is humble and vice versa.
If someone is both kind and generous then fred is both not generous and not creative and vice versa.
Everyone who is either... | Paul is not brave. | contradiction | (![X]:((~kind(X)|~quiet(X))=>curious(X)))&
(![X]:((funny(X)<~>~patient(X))<=>(~creative(X)&calm(X))))&
((?[X]:(quiet(X)))<=>(humble(susan)))&
((?[X]:((kind(X)&generous(X))))<=>((~generous(fred)&~creative(fred))))&
(![X]:((~happy(X)<~>brave(X))<=>curious(X)))&
(((curious(alice)<~>rich(alice)))=>((old(mary)&patient(mary)... | ~brave(paul) | [
"p1",
"p6",
"p9",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2854420526699315824170736
% SZS output start Proof for 2854420526699315824170736
2. ! [X0] : ((funny(X0) <~> ~patient(X0)) <=> (calm(X0) & ~creative(X0))) [input p1]
7. ! [X0] : ((~quiet(X0) <~> ~humble(X0)) <=> (~rich(X0) <~> ~calm(X0))) [input p6]
10. ! [X0] : ((~patient(X0) | ~quiet(X0... | 0 |
Everyone who is not quiet is not kind and vice versa.
If susan is not strong then someone is not rich.
If john is not wise then someone is both wise and not creative and vice versa.
Everyone who is both tall and not funny is both not happy and generous and vice versa.
If someone is either quiet or creative then someone... | John is generous. | neutral | (![X]:(~quiet(X)<=>~kind(X)))&
((~strong(susan))=>(?[X]:(~rich(X))))&
((~wise(john))<=>(?[X]:((wise(X)&~creative(X)))))&
(![X]:((tall(X)&~funny(X))<=>(~happy(X)&generous(X))))&
((?[X]:((quiet(X)<~>creative(X))))<=>(?[X]:((patient(X)|~calm(X)))))&
(![X]:(patient(X)<=>(~wise(X)&~calm(X))))&
((?[X]:((~creative(X)<~>~kind(... | generous(john) | [] | null | 0 |
If someone is not quiet then paul is either not strong or brave. Everyone who is either not rich or not tall is brave. Everyone who is both calm and funny is old or not brave and vice versa. Everyone who is not quiet or not wise is both creative and not wise and vice versa. If mary is patient or quiet then someone is b... | Mary is curious. | contradiction | ((?[X]:(~quiet(X)))=>((~strong(paul)<~>brave(paul))))&
(![X]:((~rich(X)<~>~tall(X))=>brave(X)))&
(![X]:((calm(X)&funny(X))<=>(old(X)|~brave(X))))&
(![X]:((~quiet(X)|~wise(X))<=>(creative(X)&~wise(X))))&
(((patient(mary)|quiet(mary)))<=>(?[X]:((~tall(X)&quiet(X)))))&
(![X]:((strong(X)&~rich(X))<=>(~quiet(X)|brave(X))))&... | curious(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8550649466840622889360631
% SZS output start Proof for 8550649466840622889360631
15. ! [X0] : (curious(X0) => (~wise(X0) & wise(X0))) [input p14]
25. curious(mary) [input hypothesis]
33. ! [X0] : ((~wise(X0) & wise(X0)) | ~curious(X0)) [ennf transformation 15]
138. wise(X0) | ~curious(X0)... | 0 |
If someone is rich or not generous then lucy is both not patient and not old and vice versa.
Everyone who is wise is either not tall or old and vice versa.
If someone is either funny or humble then fred is either curious or funny.
If lucy is both not happy and old then someone is creative.
Everyone who is not creative ... | Lucy is calm. | neutral | ((?[X]:((rich(X)|~generous(X))))<=>((~patient(lucy)&~old(lucy))))&
(![X]:(wise(X)<=>(~tall(X)<~>old(X))))&
((?[X]:((funny(X)<~>humble(X))))=>((curious(fred)<~>funny(fred))))&
(((~happy(lucy)&old(lucy)))=>(?[X]:(creative(X))))&
(![X]:(~creative(X)=>(funny(X)|~generous(X))))&
(![X]:(~strong(X)<=>(kind(X)<~>strong(X))))&
... | calm(lucy) | [] | null | 0 |
If alice is old then john is not patient and vice versa.
Everyone who is both not patient and not happy is both not wise and not patient.
Everyone who is not brave or not funny is creative and vice versa.
If fred is curious then someone is both not rich and not wise and vice versa.
Everyone who is not strong is either ... | Susan is not brave. | contradiction | ((old(alice))<=>(~patient(john)))&
(![X]:((~patient(X)&~happy(X))=>(~wise(X)&~patient(X))))&
(![X]:((~brave(X)|~funny(X))<=>creative(X)))&
((curious(fred))<=>(?[X]:((~rich(X)&~wise(X)))))&
(![X]:(~strong(X)<=>(~creative(X)<~>strong(X))))&
(![X]:((~wise(X)|~happy(X))=>(~creative(X)<~>~happy(X))))&
(![X]:((calm(X)<~>curi... | ~brave(susan) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4440552103243876673571277
% SZS output start Proof for 4440552103243876673571277
3. ! [X0] : ((~funny(X0) | ~brave(X0)) <=> creative(X0)) [input p2]
5. ! [X0] : (~strong(X0) <=> (~creative(X0) <~> strong(X0))) [input p4]
25. ~brave(susan) [input hypothesis]
38. ! [X0] : (((~funny(X0) | ~b... | 0 |
Everyone who is curious or not old is calm.
Everyone who is brave or old is not rich or calm and vice versa.
Everyone who is wise is old or not wise.
If someone is not calm then alice is rich or kind.
If someone is either not rich or brave then john is both not strong and funny.
Everyone who is rich is either not calm ... | Lucy is kind. | entailment | (![X]:((curious(X)|~old(X))=>calm(X)))&
(![X]:((brave(X)|old(X))<=>(~rich(X)|calm(X))))&
(![X]:(wise(X)=>(old(X)|~wise(X))))&
((?[X]:(~calm(X)))=>((rich(alice)|kind(alice))))&
((?[X]:((~rich(X)<~>brave(X))))=>((~strong(john)&funny(john))))&
(![X]:(rich(X)<=>(~calm(X)<~>curious(X))))&
(![X]:((kind(X)<~>funny(X))<=>(humb... | kind(lucy) | [
"p6",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8697300813242384031492659
% SZS output start Proof for 8697300813242384031492659
7. ! [X0] : ((kind(X0) <~> funny(X0)) <=> (~kind(X0) | humble(X0))) [input p6]
10. ! [X0] : ((~rich(X0) & rich(X0)) <=> (rich(X0) | ~calm(X0))) [input p9]
18. ~calm(lucy) | ~funny(lucy) [input p17]
21. ~kind(... | 0 |
Everyone who is creative is both funny and happy and vice versa.
If someone is not brave then fred is not quiet or not wise.
If someone is both not kind and not wise then someone is happy.
If alice is both not humble and calm then someone is either creative or humble and vice versa.
Everyone who is tall is both rich an... | Fred is kind. | entailment | (![X]:(creative(X)<=>(funny(X)&happy(X))))&
((?[X]:(~brave(X)))=>((~quiet(fred)|~wise(fred))))&
((?[X]:((~kind(X)&~wise(X))))=>(?[X]:(happy(X))))&
(((~humble(alice)&calm(alice)))<=>(?[X]:((creative(X)<~>humble(X)))))&
(![X]:(tall(X)<=>(rich(X)&~tall(X))))&
(![X]:((~strong(X)<~>~old(X))<=>~quiet(X)))&
((?[X]:((~calm(X)|... | kind(fred) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2868009152521883259732924
% SZS output start Proof for 2868009152521883259732924
15. ! [X0] : ((~calm(X0) <~> kind(X0)) <=> calm(X0)) [input p14]
25. ~kind(fred) [input hypothesis]
62. ! [X0] : ((((~kind(X0) | calm(X0)) & (kind(X0) | ~calm(X0))) | ~calm(X0)) & (calm(X0) | ((~calm(X0) | ~k... | 0 |
Everyone who is not humble or not kind is wise.
If susan is not generous or not old then someone is either not creative or creative and vice versa.
Everyone who is both not old and patient is either brave or strong.
Everyone who is rich is either strong or humble and vice versa.
If john is both quiet and not brave then... | Susan is not calm. | contradiction | (![X]:((~humble(X)|~kind(X))=>wise(X)))&
(((~generous(susan)|~old(susan)))<=>(?[X]:((~creative(X)<~>creative(X)))))&
(![X]:((~old(X)&patient(X))=>(brave(X)<~>strong(X))))&
(![X]:(rich(X)<=>(strong(X)<~>humble(X))))&
(((quiet(john)&~brave(john)))=>(?[X]:((funny(X)<~>strong(X)))))&
(![X]:(strong(X)<=>(~happy(X)&~calm(X))... | ~calm(susan) | [
"p0",
"p3",
"p5",
"p9",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6160745803738509875638415
% SZS output start Proof for 6160745803738509875638415
1. ! [X0] : ((~kind(X0) | ~humble(X0)) => wise(X0)) [input p0]
4. ! [X0] : (rich(X0) <=> (strong(X0) <~> humble(X0))) [input p3]
6. ! [X0] : (strong(X0) <=> (~calm(X0) & ~happy(X0))) [input p5]
10. ! [X0] : (... | 0 |
If someone is not creative then paul is both curious and wise and vice versa.
Everyone who is both patient and creative is both wise and not patient.
Everyone who is not kind or rich is not strong and vice versa.
Everyone who is both wise and brave is both not happy and not rich.
Everyone who is either brave or strong ... | Alice is not old. | contradiction | ((?[X]:(~creative(X)))<=>((curious(paul)&wise(paul))))&
(![X]:((patient(X)&creative(X))=>(wise(X)&~patient(X))))&
(![X]:((~kind(X)|rich(X))<=>~strong(X)))&
(![X]:((wise(X)&brave(X))=>(~happy(X)&~rich(X))))&
(![X]:((brave(X)<~>strong(X))<=>(strong(X)&funny(X))))&
(![X]:((~calm(X)|kind(X))=>(~happy(X)|~wise(X))))&
((?[X]... | ~old(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6270036635856286208923657
% SZS output start Proof for 6270036635856286208923657
9. ! [X0] : ((~tall(X0) <~> old(X0)) <=> tall(X0)) [input p8]
24. ~old(alice) [input hypothesis]
56. ! [X0] : ((((~old(X0) | tall(X0)) & (old(X0) | ~tall(X0))) | ~tall(X0)) & (tall(X0) | ((~tall(X0) | ~old(X0... | 0 |
If someone is not quiet or not humble then someone is either not funny or patient.
Everyone who is either not calm or not curious is not funny or not wise.
Everyone who is either funny or humble is either not humble or rich.
If someone is not calm then someone is both not funny and wise and vice versa.
If someone is ki... | Susan is not calm. | contradiction | ((?[X]:((~quiet(X)|~humble(X))))=>(?[X]:((~funny(X)<~>patient(X)))))&
(![X]:((~calm(X)<~>~curious(X))=>(~funny(X)|~wise(X))))&
(![X]:((funny(X)<~>humble(X))=>(~humble(X)<~>rich(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~funny(X)&wise(X)))))&
((?[X]:(kind(X)))<=>((kind(fred)&~creative(fred))))&
((~strong(lucy))=>((calm(lucy)&... | ~calm(susan) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8627674004131449139292955
% SZS output start Proof for 8627674004131449139292955
4. ? [X0] : ~calm(X0) <=> ? [X0] : (wise(X0) & ~funny(X0)) [input p3]
10. ! [X0] : ((~tall(X0) | ~funny(X0)) <=> ~wise(X0)) [input p9]
24. ~calm(susan) [input hypothesis]
26. ? [X0] : ~calm(X0) <=> ? [X1] : (... | 0 |
Everyone who is funny is calm or curious. Everyone who is not tall is rich and vice versa. If someone is both not brave and not happy then someone is either not humble or tall. If fred is both calm and not tall then alice is not old and vice versa. If someone is old or happy then someone is not generous or rich and vic... | Alice is wise. | entailment | (![X]:(funny(X)=>(calm(X)|curious(X))))&
(![X]:(~tall(X)<=>rich(X)))&
((?[X]:((~brave(X)&~happy(X))))=>(?[X]:((~humble(X)<~>tall(X)))))&
(((calm(fred)&~tall(fred)))<=>(~old(alice)))&
((?[X]:((old(X)|happy(X))))<=>(?[X]:((~generous(X)|rich(X)))))&
(![X]:(creative(X)<=>humble(X)))&
(((rich(mary)&~generous(mary)))<=>(?[X]... | wise(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2768801994321731244779890
% SZS output start Proof for 2768801994321731244779890
16. ! [X0] : ((~wise(X0) <~> wise(X0)) => wise(X0)) [input p15]
25. ~wise(alice) [input hypothesis]
42. ! [X0] : (wise(X0) | (~wise(X0) <=> wise(X0))) [ennf transformation 16]
75. ! [X0] : (wise(X0) | ((~wise... | 0 |
Everyone who is patient or old is happy or not creative.
Everyone who is either humble or not patient is both not quiet and not tall and vice versa.
If john is not creative or strong then someone is creative and vice versa.
If someone is not strong or not old then john is not old or tall and vice versa.
If john is not ... | Alice is not old. | neutral | (![X]:((patient(X)|old(X))=>(happy(X)|~creative(X))))&
(![X]:((humble(X)<~>~patient(X))<=>(~quiet(X)&~tall(X))))&
(((~creative(john)|strong(john)))<=>(?[X]:(creative(X))))&
((?[X]:((~strong(X)|~old(X))))<=>((~old(john)|tall(john))))&
(((~tall(john)|~kind(john)))<=>(~old(alice)))&
(![X]:((~tall(X)<~>~generous(X))=>(happ... | ~old(alice) | [] | null | 0 |
Everyone who is both rich and not brave is both not happy and happy and vice versa. If someone is wise or not creative then susan is either creative or brave. Everyone who is not happy or happy is not kind and vice versa. If someone is either kind or humble then mary is both not rich and not wise. Everyone who is not h... | Fred is not brave. | neutral | (![X]:((rich(X)&~brave(X))<=>(~happy(X)&happy(X))))&
((?[X]:((wise(X)|~creative(X))))=>((creative(susan)<~>brave(susan))))&
(![X]:((~happy(X)|happy(X))<=>~kind(X)))&
((?[X]:((kind(X)<~>humble(X))))=>((~rich(mary)&~wise(mary))))&
(![X]:((~happy(X)|~patient(X))<=>(happy(X)|~calm(X))))&
(((brave(alice)<~>happy(alice)))<=>... | ~brave(fred) | [] | null | 0 |
Everyone who is not strong or not tall is both not happy and not patient and vice versa.
Everyone who is either not creative or generous is either not funny or not humble and vice versa.
If mary is either not generous or not brave then mary is happy and vice versa.
Everyone who is strong is not calm or not humble.
Ever... | Fred is strong. | entailment | (![X]:((~strong(X)|~tall(X))<=>(~happy(X)&~patient(X))))&
(![X]:((~creative(X)<~>generous(X))<=>(~funny(X)<~>~humble(X))))&
(((~generous(mary)<~>~brave(mary)))<=>(happy(mary)))&
(![X]:(strong(X)=>(~calm(X)|~humble(X))))&
(![X]:(~creative(X)<=>(~calm(X)<~>brave(X))))&
(![X]:(patient(X)<=>(kind(X)<~>generous(X))))&
(((~c... | strong(fred) | [
"p0",
"p8",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2188202325038192161534292
% SZS output start Proof for 2188202325038192161534292
1. ! [X0] : ((~tall(X0) | ~strong(X0)) <=> (~patient(X0) & ~happy(X0))) [input p0]
9. ! [X0] : ((~patient(X0) <~> generous(X0)) <=> (patient(X0) & ~humble(X0))) [input p8]
14. ~generous(fred) <=> ? [X0] : (ol... | 0 |
If john is humble then john is old.
If mary is not kind or not humble then someone is not brave and vice versa.
If mary is either wise or not generous then mary is not kind or not brave.
Everyone who is quiet or funny is not funny.
If someone is both generous and wise then fred is either not humble or not patient.
Ever... | John is not generous. | neutral | ((humble(john))=>(old(john)))&
(((~kind(mary)|~humble(mary)))<=>(?[X]:(~brave(X))))&
(((wise(mary)<~>~generous(mary)))=>((~kind(mary)|~brave(mary))))&
(![X]:((quiet(X)|funny(X))=>~funny(X)))&
((?[X]:((generous(X)&wise(X))))=>((~humble(fred)<~>~patient(fred))))&
(![X]:(~rich(X)=>(funny(X)&~quiet(X))))&
(![X]:((patient(X... | ~generous(john) | [] | null | 0 |
Everyone who is either calm or funny is not brave and vice versa.
Everyone who is both happy and strong is kind or not rich.
Everyone who is either curious or funny is either not rich or not brave.
Everyone who is happy is patient.
If someone is both funny and not strong then someone is not happy or old and vice versa.... | Fred is not funny. | contradiction | (![X]:((calm(X)<~>funny(X))<=>~brave(X)))&
(![X]:((happy(X)&strong(X))=>(kind(X)|~rich(X))))&
(![X]:((curious(X)<~>funny(X))=>(~rich(X)<~>~brave(X))))&
(![X]:(happy(X)=>patient(X)))&
((?[X]:((funny(X)&~strong(X))))<=>(?[X]:((~happy(X)|old(X)))))&
((quiet(mary))<=>(?[X]:((strong(X)<~>~strong(X)))))&
(![X]:((curious(X)|~... | ~funny(fred) | [
"p0",
"p4",
"p6",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4882539417123327804897469
% SZS output start Proof for 4882539417123327804897469
1. ! [X0] : ((calm(X0) <~> funny(X0)) <=> ~brave(X0)) [input p0]
5. ? [X0] : (~strong(X0) & funny(X0)) <=> ? [X0] : (old(X0) | ~happy(X0)) [input p4]
7. ! [X0] : ((~tall(X0) | curious(X0)) => (funny(X0) | hum... | 0 |
If fred is either humble or not kind then someone is not happy or not old.
Everyone who is quiet is patient and vice versa.
If alice is not calm or strong then someone is not humble and vice versa.
Everyone who is humble or patient is not kind and vice versa.
If mary is both patient and brave then john is both old and ... | Susan is not happy. | contradiction | (((humble(fred)<~>~kind(fred)))=>(?[X]:((~happy(X)|~old(X)))))&
(![X]:(quiet(X)<=>patient(X)))&
(((~calm(alice)|strong(alice)))<=>(?[X]:(~humble(X))))&
(![X]:((humble(X)|patient(X))<=>~kind(X)))&
(((patient(mary)&brave(mary)))=>((old(john)&~tall(john))))&
(((creative(susan)|generous(susan)))<=>((brave(fred)&funny(fred)... | ~happy(susan) | [
"p1",
"p3",
"p5",
"p6",
"p9",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 646475653465048747626612
% SZS output start Proof for 646475653465048747626612
2. ! [X0] : (quiet(X0) <=> patient(X0)) [input p1]
4. ! [X0] : ((patient(X0) | humble(X0)) <=> ~kind(X0)) [input p3]
6. (generous(susan) | creative(susan)) <=> (funny(fred) & brave(fred)) [input p5]
7. ! [X0] :... | 0 |
If lucy is both funny and not humble then fred is both strong and funny.
If someone is either not tall or calm then someone is both not creative and wise.
Everyone who is generous or quiet is both humble and not patient and vice versa.
Everyone who is strong or not creative is funny or not humble and vice versa.
Everyo... | John is creative. | neutral | (((funny(lucy)&~humble(lucy)))=>((strong(fred)&funny(fred))))&
((?[X]:((~tall(X)<~>calm(X))))=>(?[X]:((~creative(X)&wise(X)))))&
(![X]:((generous(X)|quiet(X))<=>(humble(X)&~patient(X))))&
(![X]:((strong(X)|~creative(X))<=>(funny(X)|~humble(X))))&
(![X]:((~rich(X)|~curious(X))<=>happy(X)))&
(((~generous(fred)&wise(fred)... | creative(john) | [] | null | 0 |
If susan is either not tall or not creative then lucy is quiet and vice versa.
If paul is both brave and creative then john is patient or happy and vice versa.
Everyone who is both not calm and not quiet is both not kind and strong and vice versa.
Everyone who is either strong or calm is both not happy and not quiet.
E... | Lucy is tall. | contradiction | (((~tall(susan)<~>~creative(susan)))<=>(quiet(lucy)))&
(((brave(paul)&creative(paul)))<=>((patient(john)|happy(john))))&
(![X]:((~calm(X)&~quiet(X))<=>(~kind(X)&strong(X))))&
(![X]:((strong(X)<~>calm(X))=>(~happy(X)&~quiet(X))))&
(![X]:((rich(X)<~>~calm(X))=>(~generous(X)&~patient(X))))&
((?[X]:((~wise(X)<~>~kind(X))))... | tall(lucy) | [
"p4",
"p9",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2176321111565243785953070
% SZS output start Proof for 2176321111565243785953070
5. ! [X0] : ((rich(X0) <~> ~calm(X0)) => (~patient(X0) & ~generous(X0))) [input p4]
10. ! [X0] : ((happy(X0) & ~strong(X0)) <=> (~happy(X0) | ~curious(X0))) [input p9]
11. ! [X0] : ((~funny(X0) | wise(X0)) <=... | 0 |
If fred is either not strong or strong then john is both not rich and not wise. Everyone who is both creative and not humble is not tall or quiet and vice versa. Everyone who is both not rich and not tall is either not creative or not happy. Everyone who is either not brave or patient is not creative and vice versa. If... | Fred is not funny. | neutral | (((~strong(fred)<~>strong(fred)))=>((~rich(john)&~wise(john))))&
(![X]:((creative(X)&~humble(X))<=>(~tall(X)|quiet(X))))&
(![X]:((~rich(X)&~tall(X))=>(~creative(X)<~>~happy(X))))&
(![X]:((~brave(X)<~>patient(X))<=>~creative(X)))&
(((patient(john)|rich(john)))=>(?[X]:((humble(X)|~creative(X)))))&
((~curious(paul))=>(?[X... | ~funny(fred) | [] | null | 0 |
Everyone who is calm or not old is either not humble or strong.
Everyone who is not old or humble is quiet and vice versa.
Everyone who is funny or tall is both not tall and kind.
If someone is both not rich and not wise then alice is curious or not generous and vice versa.
Everyone who is both creative and patient is ... | Mary is not creative. | entailment | (![X]:((calm(X)|~old(X))=>(~humble(X)<~>strong(X))))&
(![X]:((~old(X)|humble(X))<=>quiet(X)))&
(![X]:((funny(X)|tall(X))=>(~tall(X)&kind(X))))&
((?[X]:((~rich(X)&~wise(X))))<=>((curious(alice)|~generous(alice))))&
(![X]:((creative(X)&patient(X))=>(patient(X)&~curious(X))))&
(![X]:((happy(X)&creative(X))<=>curious(X)))&... | ~creative(mary) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1257255104561647997805645
% SZS output start Proof for 1257255104561647997805645
3. ! [X0] : ((tall(X0) | funny(X0)) => (kind(X0) & ~tall(X0))) [input p2]
13. ! [X0] : ((~creative(X0) & ~old(X0)) <=> ~tall(X0)) [input p12]
23. creative(mary) [input hypothesis]
24. ! [X0] : (~tall(X0) => (... | 0 |
Everyone who is not wise or not tall is not funny. Everyone who is quiet is not rich. Everyone who is not calm is happy or quiet and vice versa. Everyone who is either not tall or wise is both tall and not strong. If someone is not old or not curious then john is not tall or generous. If john is not kind then susan is ... | Alice is creative. | neutral | (![X]:((~wise(X)|~tall(X))=>~funny(X)))&
(![X]:(quiet(X)=>~rich(X)))&
(![X]:(~calm(X)<=>(happy(X)|quiet(X))))&
(![X]:((~tall(X)<~>wise(X))=>(tall(X)&~strong(X))))&
((?[X]:((~old(X)|~curious(X))))=>((~tall(john)|generous(john))))&
((~kind(john))=>((~happy(susan)|wise(susan))))&
((?[X]:((~patient(X)<~>~old(X))))<=>(?[X]:... | creative(alice) | [] | null | 0 |
If someone is old then susan is either not calm or not creative and vice versa. Everyone who is not humble is either not quiet or patient. Everyone who is not quiet or not old is quiet and vice versa. Everyone who is both not humble and not quiet is not generous and vice versa. Everyone who is either curious or not tal... | Paul is not creative. | neutral | ((?[X]:(old(X)))<=>((~calm(susan)<~>~creative(susan))))&
(![X]:(~humble(X)=>(~quiet(X)<~>patient(X))))&
(![X]:((~quiet(X)|~old(X))<=>quiet(X)))&
(![X]:((~humble(X)&~quiet(X))<=>~generous(X)))&
(![X]:((curious(X)<~>~tall(X))=>(funny(X)&tall(X))))&
((?[X]:((tall(X)&strong(X))))<=>((generous(susan)<~>~curious(susan))))&
(... | ~creative(paul) | [] | null | 0 |
If alice is both tall and old then someone is both rich and strong and vice versa. If someone is not old or curious then someone is either not generous or not strong and vice versa. Everyone who is both happy and funny is both not wise and humble. Everyone who is either brave or rich is both not calm and not brave and ... | Mary is generous. | entailment | (((tall(alice)&old(alice)))<=>(?[X]:((rich(X)&strong(X)))))&
((?[X]:((~old(X)|curious(X))))<=>(?[X]:((~generous(X)<~>~strong(X)))))&
(![X]:((happy(X)&funny(X))=>(~wise(X)&humble(X))))&
(![X]:((brave(X)<~>rich(X))<=>(~calm(X)&~brave(X))))&
(![X]:(funny(X)=>(generous(X)<~>~strong(X))))&
(![X]:((kind(X)|~quiet(X))=>(~happ... | generous(mary) | [
"p3",
"p4",
"p8",
"p9",
"p10",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 448471128909210503941163
% SZS output start Proof for 448471128909210503941163
4. ! [X0] : ((brave(X0) <~> rich(X0)) <=> (~brave(X0) & ~calm(X0))) [input p3]
5. ! [X0] : (funny(X0) => (generous(X0) <~> ~strong(X0))) [input p4]
9. ! [X0] : (~creative(X0) <=> (~calm(X0) | ~brave(X0))) [inpu... | 0 |
Everyone who is either not curious or tall is either not strong or not calm and vice versa.
If someone is both patient and brave then someone is both not calm and not old.
Everyone who is either creative or tall is creative or not calm and vice versa.
Everyone who is calm is not brave or not patient and vice versa.
If ... | John is old. | contradiction | (![X]:((~curious(X)<~>tall(X))<=>(~strong(X)<~>~calm(X))))&
((?[X]:((patient(X)&brave(X))))=>(?[X]:((~calm(X)&~old(X)))))&
(![X]:((creative(X)<~>tall(X))<=>(creative(X)|~calm(X))))&
(![X]:(calm(X)<=>(~brave(X)|~patient(X))))&
((patient(john))=>((~curious(john)&quiet(john))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((~w... | old(john) | [
"p2",
"p3",
"p7",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4869228548744785479299795
% SZS output start Proof for 4869228548744785479299795
3. ! [X0] : ((creative(X0) <~> tall(X0)) <=> (~calm(X0) | creative(X0))) [input p2]
4. ! [X0] : (calm(X0) <=> (~patient(X0) | ~brave(X0))) [input p3]
8. ! [X0] : ((~patient(X0) <~> ~tall(X0)) => (~creative(X0... | 0 |
Everyone who is not old is both not funny and not wise.
If lucy is both happy and not humble then someone is brave or kind and vice versa.
Everyone who is patient is either funny or not quiet.
If someone is both curious and strong then alice is rich or not generous and vice versa.
Everyone who is not curious or not ric... | Lucy is not happy. | contradiction | (![X]:(~old(X)=>(~funny(X)&~wise(X))))&
(((happy(lucy)&~humble(lucy)))<=>(?[X]:((brave(X)|kind(X)))))&
(![X]:(patient(X)=>(funny(X)<~>~quiet(X))))&
((?[X]:((curious(X)&strong(X))))<=>((rich(alice)|~generous(alice))))&
(![X]:((~curious(X)|~rich(X))=>(funny(X)&~funny(X))))&
((quiet(mary))<=>(?[X]:(happy(X))))&
((rich(ali... | ~happy(lucy) | [
"p3",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 883585405628540518444574
% SZS output start Proof for 883585405628540518444574
4. ? [X0] : (strong(X0) & curious(X0)) <=> (~generous(alice) | rich(alice)) [input p3]
5. ! [X0] : ((~rich(X0) | ~curious(X0)) => (~funny(X0) & funny(X0))) [input p4]
9. ? [X0] : (curious(X0) & strong(X0)) => h... | 0 |
If alice is either rich or happy then alice is curious.
If mary is wise or not patient then lucy is either not funny or kind.
If mary is either wise or humble then john is either not quiet or old.
If someone is either funny or not happy then someone is either humble or not humble.
Everyone who is both humble and patien... | Alice is happy. | entailment | (((rich(alice)<~>happy(alice)))=>(curious(alice)))&
(((wise(mary)|~patient(mary)))=>((~funny(lucy)<~>kind(lucy))))&
(((wise(mary)<~>humble(mary)))=>((~quiet(john)<~>old(john))))&
((?[X]:((funny(X)<~>~happy(X))))=>(?[X]:((humble(X)<~>~humble(X)))))&
(![X]:((humble(X)&patient(X))=>(wise(X)&~generous(X))))&
(![X]:(~calm(X... | happy(alice) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7451581766764213750382532
% SZS output start Proof for 7451581766764213750382532
12. ! [X0] : (old(X0) <=> (kind(X0) & ~kind(X0))) [input p11]
14. ? [X0] : (curious(X0) | ~happy(X0)) <=> (old(lucy) & creative(lucy)) [input p13]
22. ~happy(alice) [input hypothesis]
53. ! [X0] : ((old(X0) |... | 0 |
If someone is not brave or not curious then someone is humble or curious and vice versa. If someone is not humble or kind then someone is not kind or creative. Everyone who is either rich or not wise is wise or calm. If mary is not humble or not brave then someone is kind and vice versa. If alice is both brave and quie... | Susan is not funny. | contradiction | ((?[X]:((~brave(X)|~curious(X))))<=>(?[X]:((humble(X)|curious(X)))))&
((?[X]:((~humble(X)|kind(X))))=>(?[X]:((~kind(X)|creative(X)))))&
(![X]:((rich(X)<~>~wise(X))=>(wise(X)|calm(X))))&
(((~humble(mary)|~brave(mary)))<=>(?[X]:(kind(X))))&
(((brave(alice)&quiet(alice)))=>(?[X]:((~creative(X)<~>rich(X)))))&
(![X]:(quiet(... | ~funny(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4334249253564679212208908
% SZS output start Proof for 4334249253564679212208908
12. ! [X0] : ((funny(X0) & ~curious(X0)) <=> ~funny(X0)) [input p11]
23. ~funny(susan) [input hypothesis]
64. ! [X0] : (((funny(X0) & ~curious(X0)) | funny(X0)) & (~funny(X0) | (~funny(X0) | curious(X0)))) [n... | 0 |
Everyone who is either funny or curious is both creative and not old and vice versa. Everyone who is both old and kind is both generous and not curious. If someone is not calm then fred is calm or not humble. Everyone who is both not calm and wise is brave or not wise. If someone is not happy then someone is either wis... | Mary is curious. | entailment | (![X]:((funny(X)<~>curious(X))<=>(creative(X)&~old(X))))&
(![X]:((old(X)&kind(X))=>(generous(X)&~curious(X))))&
((?[X]:(~calm(X)))=>((calm(fred)|~humble(fred))))&
(![X]:((~calm(X)&wise(X))=>(brave(X)|~wise(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((wise(X)<~>old(X)))))&
(![X]:((~rich(X)&patient(X))<=>(~generous(X)&generous(X... | curious(mary) | [
"p5",
"p9",
"p10",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8391089448347891930719100
% SZS output start Proof for 8391089448347891930719100
6. ! [X0] : ((patient(X0) & ~rich(X0)) <=> (generous(X0) & ~generous(X0))) [input p5]
10. ! [X0] : ((~brave(X0) <~> ~old(X0)) => ~creative(X0)) [input p9]
11. ! [X0] : ((patient(X0) | ~old(X0)) <=> (~creative... | 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... | Susan is strong. | entailment | (![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]:... | strong(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3209388432614453529922792
% SZS output start Proof for 3209388432614453529922792
7. ! [X0] : ((strong(X0) & ~old(X0)) <=> (~happy(X0) | ~strong(X0))) [input p6]
25. ~strong(susan) [input hypothesis]
44. ! [X0] : (((strong(X0) & ~old(X0)) | (happy(X0) & strong(X0))) & ((~happy(X0) | ~stron... | 0 |
Everyone who is either humble or quiet is not strong or not happy and vice versa.
Everyone who is not brave is both happy and generous and vice versa.
Everyone who is either not generous or not creative is both humble and tall.
Everyone who is either not funny or brave is curious or not curious and vice versa.
Everyone... | Mary is brave. | contradiction | (![X]:((humble(X)<~>quiet(X))<=>(~strong(X)|~happy(X))))&
(![X]:(~brave(X)<=>(happy(X)&generous(X))))&
(![X]:((~generous(X)<~>~creative(X))=>(humble(X)&tall(X))))&
(![X]:((~funny(X)<~>brave(X))<=>(curious(X)|~curious(X))))&
(![X]:((~strong(X)|generous(X))=>(~humble(X)|~curious(X))))&
(![X]:((~quiet(X)<~>calm(X))<=>(old... | brave(mary) | [
"p2",
"p6",
"p7",
"p8",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2160093981432105366168256
% SZS output start Proof for 2160093981432105366168256
3. ! [X0] : ((~generous(X0) <~> ~creative(X0)) => (tall(X0) & humble(X0))) [input p2]
7. ? [X0] : (humble(X0) <~> brave(X0)) => (~kind(mary) | humble(mary)) [input p6]
8. ! [X0] : ((calm(X0) & ~rich(X0)) <=> ... | 0 |
If someone is either not funny or kind then someone is brave. If mary is not happy or funny then someone is both happy and quiet. Everyone who is kind or not generous is not old. Everyone who is not happy is not kind. If someone is not rich or not quiet then lucy is kind and vice versa. Everyone who is not brave or not... | Lucy is brave. | entailment | ((?[X]:((~funny(X)<~>kind(X))))=>(?[X]:(brave(X))))&
(((~happy(mary)|funny(mary)))=>(?[X]:((happy(X)&quiet(X)))))&
(![X]:((kind(X)|~generous(X))=>~old(X)))&
(![X]:(~happy(X)=>~kind(X)))&
((?[X]:((~rich(X)|~quiet(X))))<=>(kind(lucy)))&
(![X]:((~brave(X)|~patient(X))<=>(old(X)&~curious(X))))&
((?[X]:(~humble(X)))=>(?[X]:... | brave(lucy) | [
"p2",
"p4",
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2286553286338977344978495
% SZS output start Proof for 2286553286338977344978495
3. ! [X0] : ((~generous(X0) | kind(X0)) => ~old(X0)) [input p2]
5. ? [X0] : (~quiet(X0) | ~rich(X0)) <=> kind(lucy) [input p4]
6. ! [X0] : ((~patient(X0) | ~brave(X0)) <=> (~curious(X0) & old(X0))) [input p5]... | 0 |
If paul is not patient then someone is both wise and not calm and vice versa.
Everyone who is not brave is either brave or happy and vice versa.
Everyone who is not creative or not quiet is both not humble and not funny.
Everyone who is either creative or kind is both not calm and old and vice versa.
Everyone who is ca... | Lucy is not funny. | entailment | ((~patient(paul))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:(~brave(X)<=>(brave(X)<~>happy(X))))&
(![X]:((~creative(X)|~quiet(X))=>(~humble(X)&~funny(X))))&
(![X]:((creative(X)<~>kind(X))<=>(~calm(X)&old(X))))&
(![X]:(calm(X)=>~funny(X)))&
(![X]:((old(X)<~>~calm(X))<=>(rich(X)&old(X))))&
(![X]:(~curious(X)=>(happy(X)<~>cal... | ~funny(lucy) | [
"p1",
"p2",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3367784853580236696578579
% SZS output start Proof for 3367784853580236696578579
2. ! [X0] : (~brave(X0) <=> (brave(X0) <~> happy(X0))) [input p1]
3. ! [X0] : ((~quiet(X0) | ~creative(X0)) => (~funny(X0) & ~humble(X0))) [input p2]
12. ! [X0] : ((happy(X0) & quiet(X0)) => (~humble(X0) <~> ... | 0 |
Everyone who is tall is both generous and funny.
Everyone who is either strong or happy is both not generous and not old.
Everyone who is either brave or not old is either not tall or not old.
Everyone who is not creative or happy is not patient and vice versa.
Everyone who is curious is calm or curious.
Everyone who i... | Alice is not curious. | entailment | (![X]:(tall(X)=>(generous(X)&funny(X))))&
(![X]:((strong(X)<~>happy(X))=>(~generous(X)&~old(X))))&
(![X]:((brave(X)<~>~old(X))=>(~tall(X)<~>~old(X))))&
(![X]:((~creative(X)|happy(X))<=>~patient(X)))&
(![X]:(curious(X)=>(calm(X)|curious(X))))&
(![X]:((brave(X)|tall(X))=>(funny(X)&~brave(X))))&
(((~patient(lucy)<~>~kind(... | ~curious(alice) | [
"p1",
"p3",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7478900013234023476208375
% SZS output start Proof for 7478900013234023476208375
2. ! [X0] : ((strong(X0) <~> happy(X0)) => (~old(X0) & ~generous(X0))) [input p1]
4. ! [X0] : ((happy(X0) | ~creative(X0)) <=> ~patient(X0)) [input p3]
9. ! [X0] : (curious(X0) => strong(X0)) [input p8]
11. !... | 0 |
If someone is either happy or humble then someone is both not happy and humble.
Everyone who is both old and not old is not old or brave and vice versa.
If fred is either patient or not rich then someone is either patient or generous and vice versa.
Everyone who is both brave and not patient is either brave or patient.... | Susan is brave. | contradiction | ((?[X]:((happy(X)<~>humble(X))))=>(?[X]:((~happy(X)&humble(X)))))&
(![X]:((old(X)&~old(X))<=>(~old(X)|brave(X))))&
(((patient(fred)<~>~rich(fred)))<=>(?[X]:((patient(X)<~>generous(X)))))&
(![X]:((brave(X)&~patient(X))=>(brave(X)<~>patient(X))))&
(((~wise(lucy)&~calm(lucy)))<=>((humble(lucy)&~kind(lucy))))&
(![X]:((crea... | brave(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4828498203151866009276691
% SZS output start Proof for 4828498203151866009276691
2. ! [X0] : ((~old(X0) & old(X0)) <=> (brave(X0) | ~old(X0))) [input p1]
25. brave(susan) [input hypothesis]
44. ! [X0] : (((~old(X0) & old(X0)) | (~brave(X0) & old(X0))) & ((brave(X0) | ~old(X0)) | (old(X0) ... | 0 |
If fred is not funny then someone is not patient or not generous and vice versa.
If someone is both calm and not old then john is both not calm and not rich.
Everyone who is quiet or not wise is either wise or patient and vice versa.
If john is tall then someone is tall or not creative.
If someone is happy or wise then... | Fred is generous. | entailment | ((~funny(fred))<=>(?[X]:((~patient(X)|~generous(X)))))&
((?[X]:((calm(X)&~old(X))))=>((~calm(john)&~rich(john))))&
(![X]:((quiet(X)|~wise(X))<=>(wise(X)<~>patient(X))))&
((tall(john))=>(?[X]:((tall(X)|~creative(X)))))&
((?[X]:((happy(X)|wise(X))))<=>(~calm(fred)))&
(![X]:(~quiet(X)<=>(~tall(X)<~>~calm(X))))&
(![X]:(pat... | generous(fred) | [
"p2",
"p4",
"p5",
"p6",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1042485698845066306490351
% SZS output start Proof for 1042485698845066306490351
3. ! [X0] : ((~wise(X0) | quiet(X0)) <=> (wise(X0) <~> patient(X0))) [input p2]
5. ? [X0] : (wise(X0) | happy(X0)) <=> ~calm(fred) [input p4]
6. ! [X0] : (~quiet(X0) <=> (~tall(X0) <~> ~calm(X0))) [input p5]
... | 0 |
Everyone who is both not creative and tall is not happy and vice versa.
Everyone who is both wise and not curious is both not calm and strong.
If someone is either not brave or not old then someone is not patient.
If someone is both kind and happy then alice is old or not quiet.
If someone is both not rich and not wise... | Alice is calm. | contradiction | (![X]:((~creative(X)&tall(X))<=>~happy(X)))&
(![X]:((wise(X)&~curious(X))=>(~calm(X)&strong(X))))&
((?[X]:((~brave(X)<~>~old(X))))=>(?[X]:(~patient(X))))&
((?[X]:((kind(X)&happy(X))))=>((old(alice)|~quiet(alice))))&
((?[X]:((~rich(X)&~wise(X))))=>(?[X]:(brave(X))))&
(((~quiet(alice)|humble(alice)))=>((~curious(fred)<~>... | calm(alice) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 17032595789724603097905
% SZS output start Proof for 17032595789724603097905
17. ~calm(alice) [input p16]
25. calm(alice) [input hypothesis]
130. ~calm(alice) [cnf transformation 17]
141. calm(alice) [cnf transformation 25]
354. $false [subsumption resolution 141,130]
% SZS output end Pro... | 0 |
If mary is either tall or wise then someone is both curious and creative.
Everyone who is either not kind or wise is not humble or not kind.
If alice is quiet then someone is both rich and not patient.
Everyone who is both not creative and not curious is both funny and wise and vice versa.
If someone is either funny or... | John is generous. | entailment | (((tall(mary)<~>wise(mary)))=>(?[X]:((curious(X)&creative(X)))))&
(![X]:((~kind(X)<~>wise(X))=>(~humble(X)|~kind(X))))&
((quiet(alice))=>(?[X]:((rich(X)&~patient(X)))))&
(![X]:((~creative(X)&~curious(X))<=>(funny(X)&wise(X))))&
((?[X]:((funny(X)<~>~kind(X))))=>((~wise(john)|~strong(john))))&
(![X]:((humble(X)&~old(X))=... | generous(john) | [
"p9",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6722404658971322594861849
% SZS output start Proof for 6722404658971322594861849
10. ! [X0] : (patient(X0) <=> (tall(X0) & ~curious(X0))) [input p9]
14. ! [X0] : (curious(X0) <=> (strong(X0) | creative(X0))) [input p13]
15. ? [X0] : (brave(X0) | tall(X0)) => strong(john) [input p14]
16. !... | 0 |
If john is not kind or not humble then someone is both not strong and not generous.
Everyone who is either not rich or not happy is old and vice versa.
If someone is both not brave and not funny then someone is either not funny or generous and vice versa.
If someone is funny or not tall then john is both not tall and w... | Fred is not kind. | contradiction | (((~kind(john)|~humble(john)))=>(?[X]:((~strong(X)&~generous(X)))))&
(![X]:((~rich(X)<~>~happy(X))<=>old(X)))&
((?[X]:((~brave(X)&~funny(X))))<=>(?[X]:((~funny(X)<~>generous(X)))))&
((?[X]:((funny(X)|~tall(X))))<=>((~tall(john)&wise(john))))&
(((wise(paul)<~>humble(paul)))<=>((funny(lucy)<~>rich(lucy))))&
(![X]:((~happ... | ~kind(fred) | [
"p7",
"p8",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2229305054231443114892842
% SZS output start Proof for 2229305054231443114892842
8. ! [X0] : ((~rich(X0) <~> ~old(X0)) <=> (quiet(X0) <~> rich(X0))) [input p7]
9. ? [X0] : (~funny(X0) | generous(X0)) => ~strong(john) [input p8]
10. ! [X0] : (~kind(X0) <=> ~quiet(X0)) [input p9]
12. (patie... | 0 |
Everyone who is both not tall and brave is either generous or not calm and vice versa.
If someone is both tall and strong then alice is wise or rich.
Everyone who is either curious or old is both not wise and patient.
Everyone who is both patient and not calm is not generous and vice versa.
Everyone who is wise or calm... | Paul is not creative. | neutral | (![X]:((~tall(X)&brave(X))<=>(generous(X)<~>~calm(X))))&
((?[X]:((tall(X)&strong(X))))=>((wise(alice)|rich(alice))))&
(![X]:((curious(X)<~>old(X))=>(~wise(X)&patient(X))))&
(![X]:((patient(X)&~calm(X))<=>~generous(X)))&
(![X]:((wise(X)|calm(X))<=>(happy(X)|~happy(X))))&
(![X]:(rich(X)<=>(rich(X)&~kind(X))))&
((?[X]:((~... | ~creative(paul) | [] | null | 0 |
If alice is either not brave or not patient then alice is both not wise and not creative and vice versa.
Everyone who is not wise or curious is either not old or kind.
If someone is not generous then someone is not curious or old.
Everyone who is not creative is humble and vice versa.
Everyone who is both not quiet and... | Mary is not quiet. | contradiction | (((~brave(alice)<~>~patient(alice)))<=>((~wise(alice)&~creative(alice))))&
(![X]:((~wise(X)|curious(X))=>(~old(X)<~>kind(X))))&
((?[X]:(~generous(X)))=>(?[X]:((~curious(X)|old(X)))))&
(![X]:(~creative(X)<=>humble(X)))&
(![X]:((~quiet(X)&~rich(X))=>(strong(X)|rich(X))))&
(![X]:((~wise(X)&brave(X))<=>~kind(X)))&
((?[X]:(... | ~quiet(mary) | [
"p3",
"p4",
"p6",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4893811949289913917499460
% SZS output start Proof for 4893811949289913917499460
4. ! [X0] : (~creative(X0) <=> humble(X0)) [input p3]
5. ! [X0] : ((~rich(X0) & ~quiet(X0)) => (rich(X0) | strong(X0))) [input p4]
7. ? [X0] : (patient(X0) <~> creative(X0)) => ? [X0] : (~funny(X0) & funny(X0... | 0 |
Everyone who is brave is both not tall and quiet.
If john is either not patient or not quiet then lucy is either kind or not wise.
Everyone who is creative or not humble is either not kind or not rich and vice versa.
Everyone who is either funny or curious is calm or not humble and vice versa.
Everyone who is kind or n... | Fred is happy. | entailment | (![X]:(brave(X)=>(~tall(X)&quiet(X))))&
(((~patient(john)<~>~quiet(john)))=>((kind(lucy)<~>~wise(lucy))))&
(![X]:((creative(X)|~humble(X))<=>(~kind(X)<~>~rich(X))))&
(![X]:((funny(X)<~>curious(X))<=>(calm(X)|~humble(X))))&
(![X]:((kind(X)|~happy(X))<=>(curious(X)<~>~humble(X))))&
(![X]:((~tall(X)|~old(X))<=>(~generous(... | happy(fred) | [
"p0",
"p3",
"p4",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3248438120021317826531073
% SZS output start Proof for 3248438120021317826531073
1. ! [X0] : (brave(X0) => (quiet(X0) & ~tall(X0))) [input p0]
4. ! [X0] : ((funny(X0) <~> curious(X0)) <=> (~humble(X0) | calm(X0))) [input p3]
5. ! [X0] : ((~happy(X0) | kind(X0)) <=> (curious(X0) <~> ~humbl... | 0 |
If alice is either tall or strong then someone is either happy or patient. If lucy is not generous then someone is either not kind or kind and vice versa. Everyone who is generous is both not wise and not calm and vice versa. If someone is not strong then someone is either not strong or wise and vice versa. Everyone wh... | John is not happy. | neutral | (((tall(alice)<~>strong(alice)))=>(?[X]:((happy(X)<~>patient(X)))))&
((~generous(lucy))<=>(?[X]:((~kind(X)<~>kind(X)))))&
(![X]:(generous(X)<=>(~wise(X)&~calm(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~strong(X)<~>wise(X)))))&
(![X]:((~wise(X)<~>~rich(X))<=>(~quiet(X)<~>curious(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~humble(X)... | ~happy(john) | [] | null | 0 |
Everyone who is either not curious or not strong is either not old or calm. Everyone who is either quiet or curious is either wise or old. Everyone who is either curious or not patient is not curious and vice versa. Everyone who is not quiet is both quiet and calm and vice versa. If someone is both curious and not stro... | John is wise. | neutral | (![X]:((~curious(X)<~>~strong(X))=>(~old(X)<~>calm(X))))&
(![X]:((quiet(X)<~>curious(X))=>(wise(X)<~>old(X))))&
(![X]:((curious(X)<~>~patient(X))<=>~curious(X)))&
(![X]:(~quiet(X)<=>(quiet(X)&calm(X))))&
((?[X]:((curious(X)&~strong(X))))<=>((old(lucy)|curious(lucy))))&
(![X]:((brave(X)<~>creative(X))<=>(~quiet(X)|quiet... | wise(john) | [] | null | 0 |
If susan is not generous then someone is not rich and vice versa. If alice is both not rich and not happy then someone is not patient or not curious and vice versa. If mary is both not tall and quiet then someone is not creative or not happy. If mary is both not funny and not generous then someone is funny or patient a... | Alice is not happy. | entailment | ((~generous(susan))<=>(?[X]:(~rich(X))))&
(((~rich(alice)&~happy(alice)))<=>(?[X]:((~patient(X)|~curious(X)))))&
(((~tall(mary)&quiet(mary)))=>(?[X]:((~creative(X)|~happy(X)))))&
(((~funny(mary)&~generous(mary)))<=>(?[X]:((funny(X)|patient(X)))))&
(![X]:((generous(X)&old(X))<=>(~happy(X)&~curious(X))))&
(![X]:((~genero... | ~happy(alice) | [
"p1",
"p8",
"p9",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3894067402775415106515863
% SZS output start Proof for 3894067402775415106515863
2. (~happy(alice) & ~rich(alice)) <=> ? [X0] : (~curious(X0) | ~patient(X0)) [input p1]
9. ! [X0] : ((~quiet(X0) <~> happy(X0)) => (wise(X0) & old(X0))) [input p8]
10. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (... | 0 |
If paul is both not rich and not calm then someone is not rich and vice versa.
Everyone who is not brave or not old is not curious or rich.
Everyone who is tall is both curious and tall and vice versa.
Everyone who is either curious or not rich is either not creative or wise and vice versa.
Everyone who is both funny a... | Fred is not old. | neutral | (((~rich(paul)&~calm(paul)))<=>(?[X]:(~rich(X))))&
(![X]:((~brave(X)|~old(X))=>(~curious(X)|rich(X))))&
(![X]:(tall(X)<=>(curious(X)&tall(X))))&
(![X]:((curious(X)<~>~rich(X))<=>(~creative(X)<~>wise(X))))&
(![X]:((funny(X)&~patient(X))=>(~tall(X)<~>~rich(X))))&
(((~kind(john)<~>~brave(john)))=>((calm(lucy)<~>~creative(... | ~old(fred) | [] | null | 0 |
If alice is rich then john is both not rich and not creative and vice versa. If someone is either not quiet or not old then someone is not creative or not old and vice versa. If john is not calm or humble then alice is both wise and not funny and vice versa. Everyone who is either not brave or funny is not rich and vic... | Alice is not brave. | entailment | ((rich(alice))<=>((~rich(john)&~creative(john))))&
((?[X]:((~quiet(X)<~>~old(X))))<=>(?[X]:((~creative(X)|~old(X)))))&
(((~calm(john)|humble(john)))<=>((wise(alice)&~funny(alice))))&
(![X]:((~brave(X)<~>funny(X))<=>~rich(X)))&
(((rich(john)<~>~patient(john)))<=>(?[X]:(calm(X))))&
(![X]:((~patient(X)<~>~wise(X))=>(funny... | ~brave(alice) | [
"p2",
"p3",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8588998212632540734392363
% SZS output start Proof for 8588998212632540734392363
3. (humble(john) | ~calm(john)) <=> (~funny(alice) & wise(alice)) [input p2]
4. ! [X0] : ((~brave(X0) <~> funny(X0)) <=> ~rich(X0)) [input p3]
9. ! [X0] : (creative(X0) <=> (old(X0) <~> rich(X0))) [input p8]
... | 0 |
If someone is both curious and not creative then lucy is both strong and calm. Everyone who is quiet or old is both rich and not quiet and vice versa. If someone is both not curious and not wise then alice is old and vice versa. Everyone who is both not strong and not old is both not funny and quiet and vice versa. Eve... | Susan is strong. | contradiction | ((?[X]:((curious(X)&~creative(X))))=>((strong(lucy)&calm(lucy))))&
(![X]:((quiet(X)|old(X))<=>(rich(X)&~quiet(X))))&
((?[X]:((~curious(X)&~wise(X))))<=>(old(alice)))&
(![X]:((~strong(X)&~old(X))<=>(~funny(X)&quiet(X))))&
(![X]:(~calm(X)=>(generous(X)&~happy(X))))&
(![X]:((~strong(X)|~curious(X))<=>(creative(X)&~strong(... | strong(susan) | [
"p1",
"p3",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5958828040744179265556745
% SZS output start Proof for 5958828040744179265556745
2. ! [X0] : ((old(X0) | quiet(X0)) <=> (~quiet(X0) & rich(X0))) [input p1]
4. ! [X0] : ((~old(X0) & ~strong(X0)) <=> (quiet(X0) & ~funny(X0))) [input p3]
11. ! [X0] : ((~old(X0) | happy(X0)) => (quiet(X0) <~>... | 0 |
Everyone who is not rich or strong is not generous or generous. If someone is either wise or strong then lucy is not brave and vice versa. If someone is either not old or kind then someone is either rich or not generous. Everyone who is not patient is not quiet or not creative. If fred is old then someone is either not... | Alice is not happy. | entailment | (![X]:((~rich(X)|strong(X))=>(~generous(X)|generous(X))))&
((?[X]:((wise(X)<~>strong(X))))<=>(~brave(lucy)))&
((?[X]:((~old(X)<~>kind(X))))=>(?[X]:((rich(X)<~>~generous(X)))))&
(![X]:(~patient(X)=>(~quiet(X)|~creative(X))))&
((old(fred))<=>(?[X]:((~wise(X)<~>~kind(X)))))&
(((happy(fred)|~creative(fred)))=>(?[X]:(curiou... | ~happy(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7059623322744887165907301
% SZS output start Proof for 7059623322744887165907301
9. ! [X0] : (~rich(X0) <=> (happy(X0) <~> ~rich(X0))) [input p8]
24. happy(alice) [input hypothesis]
68. ! [X0] : ((~rich(X0) | ((happy(X0) | rich(X0)) & (~rich(X0) | ~happy(X0)))) & (((rich(X0) | ~happy(X0))... | 0 |
Everyone who is either not humble or not wise is rich or not curious. Everyone who is humble is either not old or not rich. If someone is both not quiet and patient then someone is both old and not old. Everyone who is either brave or not kind is kind or not tall. Everyone who is either not old or not brave is creative... | John is not kind. | neutral | (![X]:((~humble(X)<~>~wise(X))=>(rich(X)|~curious(X))))&
(![X]:(humble(X)=>(~old(X)<~>~rich(X))))&
((?[X]:((~quiet(X)&patient(X))))=>(?[X]:((old(X)&~old(X)))))&
(![X]:((brave(X)<~>~kind(X))=>(kind(X)|~tall(X))))&
(![X]:((~old(X)<~>~brave(X))<=>creative(X)))&
((~brave(john))=>(?[X]:((~calm(X)|funny(X)))))&
(![X]:(humble... | ~kind(john) | [] | null | 0 |
Everyone who is both not old and not strong is either funny or not brave.
If someone is wise then someone is either not happy or strong and vice versa.
If fred is both rich and not kind then susan is either curious or not creative.
Everyone who is not rich is either not humble or calm.
If alice is both not quiet and no... | Fred is generous. | contradiction | (![X]:((~old(X)&~strong(X))=>(funny(X)<~>~brave(X))))&
((?[X]:(wise(X)))<=>(?[X]:((~happy(X)<~>strong(X)))))&
(((rich(fred)&~kind(fred)))=>((curious(susan)<~>~creative(susan))))&
(![X]:(~rich(X)=>(~humble(X)<~>calm(X))))&
(((~quiet(alice)&~rich(alice)))<=>(generous(alice)))&
(![X]:((brave(X)&~brave(X))<=>(~strong(X)|ge... | generous(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1303378559002471731899810
% SZS output start Proof for 1303378559002471731899810
6. ! [X0] : ((~brave(X0) & brave(X0)) <=> (generous(X0) | ~strong(X0))) [input p5]
25. generous(fred) [input hypothesis]
50. ! [X0] : (((~brave(X0) & brave(X0)) | (~generous(X0) & strong(X0))) & ((generous(X0... | 0 |
Everyone who is both brave and not old is either old or not creative. Everyone who is not kind is not happy or not kind and vice versa. Everyone who is both strong and not patient is either rich or not curious. If susan is not curious then someone is both not quiet and patient and vice versa. If john is not old then so... | Mary is brave. | contradiction | (![X]:((brave(X)&~old(X))=>(old(X)<~>~creative(X))))&
(![X]:(~kind(X)<=>(~happy(X)|~kind(X))))&
(![X]:((strong(X)&~patient(X))=>(rich(X)<~>~curious(X))))&
((~curious(susan))<=>(?[X]:((~quiet(X)&patient(X)))))&
((~old(john))<=>(?[X]:(happy(X))))&
(![X]:((~kind(X)<~>generous(X))<=>(creative(X)<~>~tall(X))))&
(![X]:((~hap... | brave(mary) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1040443235244414559225031
% SZS output start Proof for 1040443235244414559225031
16. ! [X0] : (~humble(X0) <=> (old(X0) & ~brave(X0))) [input p15]
17. ~humble(mary) [input p16]
25. brave(mary) [input hypothesis]
74. ! [X0] : ((~humble(X0) | (~old(X0) | brave(X0))) & ((old(X0) & ~brave(X0)... | 0 |
If someone is either not strong or strong then susan is both not humble and old. Everyone who is both humble and patient is both old and not quiet. If lucy is generous or curious then someone is creative or not humble. Everyone who is either not kind or strong is either curious or old. If john is not kind or not old th... | Mary is happy. | entailment | ((?[X]:((~strong(X)<~>strong(X))))=>((~humble(susan)&old(susan))))&
(![X]:((humble(X)&patient(X))=>(old(X)&~quiet(X))))&
(((generous(lucy)|curious(lucy)))=>(?[X]:((creative(X)|~humble(X)))))&
(![X]:((~kind(X)<~>strong(X))=>(curious(X)<~>old(X))))&
(((~kind(john)|~old(john)))=>(?[X]:((curious(X)<~>funny(X)))))&
(![X]:((... | happy(mary) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6568237498705052354658613
% SZS output start Proof for 6568237498705052354658613
14. ! [X0] : ((old(X0) <~> ~old(X0)) <=> happy(X0)) [input p13]
24. ~happy(mary) [input hypothesis]
57. ! [X0] : ((((old(X0) | ~old(X0)) & (~old(X0) | old(X0))) | ~happy(X0)) & (happy(X0) | ((old(X0) | old(X0... | 0 |
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 humble and vice versa.
Everyone who is either generous or not creative is either not patient or creative and vice versa.
If someone is cr... | Paul is not humble. | neutral | (![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]:((creative(X)|~funny(X))))=>(?[X]:((~generous(X)&humble(X)))))&
(((calm(mary)<~>old(mary)))<=>(?[... | ~humble(paul) | [] | null | 0 |
Everyone who is both happy and not humble is curious or not wise.
If someone is both not humble and curious then alice is not wise or patient.
Everyone who is either wise or not funny is both wise and not tall and vice versa.
If someone is not kind then someone is either quiet or not calm.
If alice is not humble then f... | Lucy is funny. | contradiction | (![X]:((happy(X)&~humble(X))=>(curious(X)|~wise(X))))&
((?[X]:((~humble(X)&curious(X))))=>((~wise(alice)|patient(alice))))&
(![X]:((wise(X)<~>~funny(X))<=>(wise(X)&~tall(X))))&
((?[X]:(~kind(X)))=>(?[X]:((quiet(X)<~>~calm(X)))))&
((~humble(alice))<=>((strong(fred)<~>humble(fred))))&
((?[X]:((~funny(X)|strong(X))))=>(~g... | funny(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 250923159147122273923539
% SZS output start Proof for 250923159147122273923539
21. ~funny(lucy) & curious(lucy) [input p20]
25. funny(lucy) [input hypothesis]
127. ~funny(lucy) [cnf transformation 21]
132. funny(lucy) [cnf transformation 25]
251. 27 <=> funny(lucy) [avatar definition]
299... | 0 |
Everyone who is generous is tall or happy and vice versa.
If someone is curious or not rich then fred is both kind and not funny.
Everyone who is not tall is not calm.
Everyone who is not quiet or rich is brave or not strong.
Everyone who is rich or not happy is either strong or generous and vice versa.
If mary is stro... | Fred is funny. | contradiction | (![X]:(generous(X)<=>(tall(X)|happy(X))))&
((?[X]:((curious(X)|~rich(X))))=>((kind(fred)&~funny(fred))))&
(![X]:(~tall(X)=>~calm(X)))&
(![X]:((~quiet(X)|rich(X))=>(brave(X)|~strong(X))))&
(![X]:((rich(X)|~happy(X))<=>(strong(X)<~>generous(X))))&
(((strong(mary)|curious(mary)))<=>((creative(john)|~tall(john))))&
(![X]:(... | funny(fred) | [
"p1",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2205478440257172634957123
% SZS output start Proof for 2205478440257172634957123
2. ? [X0] : (~rich(X0) | curious(X0)) => (~funny(fred) & kind(fred)) [input p1]
16. ! [X0] : ((~funny(X0) | funny(X0)) <=> (kind(X0) & strong(X0))) [input p15]
18. kind(paul) <~> ~curious(paul) [input p17]
23... | 0 |
If fred is either not quiet or not kind then someone is either not rich or curious and vice versa.
Everyone who is either calm or not tall is both not creative and happy and vice versa.
Everyone who is either not wise or wise is both rich and happy.
If susan is quiet then fred is either brave or quiet and vice versa.
I... | Paul is not brave. | contradiction | (((~quiet(fred)<~>~kind(fred)))<=>(?[X]:((~rich(X)<~>curious(X)))))&
(![X]:((calm(X)<~>~tall(X))<=>(~creative(X)&happy(X))))&
(![X]:((~wise(X)<~>wise(X))=>(rich(X)&happy(X))))&
((quiet(susan))<=>((brave(fred)<~>quiet(fred))))&
((?[X]:((patient(X)<~>rich(X))))<=>(~humble(lucy)))&
(![X]:((~funny(X)|tall(X))<=>(~old(X)|hu... | ~brave(paul) | [
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 926596857582221039813062
% SZS output start Proof for 926596857582221039813062
13. ! [X0] : (~brave(X0) <=> ~funny(X0)) [input p12]
22. funny(paul) & ~humble(paul) [input p21]
24. ~brave(paul) [input hypothesis]
57. ! [X0] : ((~brave(X0) | funny(X0)) & (~funny(X0) | brave(X0))) [nnf trans... | 0 |
Everyone who is not kind is either brave or quiet.
If someone is both not brave and funny then mary is either wise or kind and vice versa.
If fred is not creative then paul is either not tall or not calm and vice versa.
If someone is creative or not humble then fred is both kind and rich and vice versa.
If someone is o... | Fred is happy. | neutral | (![X]:(~kind(X)=>(brave(X)<~>quiet(X))))&
((?[X]:((~brave(X)&funny(X))))<=>((wise(mary)<~>kind(mary))))&
((~creative(fred))<=>((~tall(paul)<~>~calm(paul))))&
((?[X]:((creative(X)|~humble(X))))<=>((kind(fred)&rich(fred))))&
((?[X]:((old(X)|generous(X))))=>(?[X]:((~happy(X)|generous(X)))))&
(![X]:((~curious(X)&curious(X)... | happy(fred) | [] | null | 0 |
If susan is old then someone is both patient and not strong.
Everyone who is not tall is either not old or calm and vice versa.
Everyone who is not rich is not wise and vice versa.
If someone is quiet then someone is either old or not strong and vice versa.
Everyone who is patient is creative or old and vice versa.
Eve... | Alice is not kind. | neutral | ((old(susan))=>(?[X]:((patient(X)&~strong(X)))))&
(![X]:(~tall(X)<=>(~old(X)<~>calm(X))))&
(![X]:(~rich(X)<=>~wise(X)))&
((?[X]:(quiet(X)))<=>(?[X]:((old(X)<~>~strong(X)))))&
(![X]:(patient(X)<=>(creative(X)|old(X))))&
(![X]:((~calm(X)|strong(X))<=>(calm(X)<~>~quiet(X))))&
(((tall(mary)<~>~generous(mary)))<=>(?[X]:(~ha... | ~kind(alice) | [] | null | 0 |
If lucy is not happy or quiet then lucy is either not tall or not old and vice versa. Everyone who is not quiet is both quiet and strong. If someone is either calm or happy then paul is both not patient and not strong and vice versa. Everyone who is rich is generous or not funny. Everyone who is quiet is both creative ... | John is not patient. | contradiction | (((~happy(lucy)|quiet(lucy)))<=>((~tall(lucy)<~>~old(lucy))))&
(![X]:(~quiet(X)=>(quiet(X)&strong(X))))&
((?[X]:((calm(X)<~>happy(X))))<=>((~patient(paul)&~strong(paul))))&
(![X]:(rich(X)=>(generous(X)|~funny(X))))&
(![X]:(quiet(X)=>(creative(X)&kind(X))))&
(![X]:(~patient(X)<=>(~funny(X)&~tall(X))))&
((?[X]:(~brave(X)... | ~patient(john) | [
"p1",
"p4",
"p5",
"p11",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8531694208006785041680367
% SZS output start Proof for 8531694208006785041680367
2. ! [X0] : (~quiet(X0) => (strong(X0) & quiet(X0))) [input p1]
5. ! [X0] : (quiet(X0) => (kind(X0) & creative(X0))) [input p4]
6. ! [X0] : (~patient(X0) <=> (~tall(X0) & ~funny(X0))) [input p5]
12. ! [X0] : ... | 0 |
If fred is both not calm and not rich then someone is not strong or quiet and vice versa.
Everyone who is not calm or not creative is not tall.
Everyone who is wise is either not strong or calm.
Everyone who is not brave or creative is either humble or not creative.
If someone is not funny then john is humble or tall a... | Fred is not rich. | neutral | (((~calm(fred)&~rich(fred)))<=>(?[X]:((~strong(X)|quiet(X)))))&
(![X]:((~calm(X)|~creative(X))=>~tall(X)))&
(![X]:(wise(X)=>(~strong(X)<~>calm(X))))&
(![X]:((~brave(X)|creative(X))=>(humble(X)<~>~creative(X))))&
((?[X]:(~funny(X)))<=>((humble(john)|tall(john))))&
(![X]:((rich(X)&~creative(X))=>(funny(X)|~tall(X))))&
((... | ~rich(fred) | [] | null | 0 |
Everyone who is not wise is brave or not generous and vice versa. Everyone who is creative or not patient is both not old and wise and vice versa. If susan is generous or not generous then someone is not wise. If paul is not old then someone is either not quiet or quiet and vice versa. Everyone who is both patient and ... | Mary is old. | contradiction | (![X]:(~wise(X)<=>(brave(X)|~generous(X))))&
(![X]:((creative(X)|~patient(X))<=>(~old(X)&wise(X))))&
(((generous(susan)|~generous(susan)))=>(?[X]:(~wise(X))))&
((~old(paul))<=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(![X]:((patient(X)&wise(X))<=>(~brave(X)&curious(X))))&
(![X]:((funny(X)&~brave(X))<=>~funny(X)))&
(![X]:((~cu... | old(mary) | [
"p0",
"p1",
"p5",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1237830893272241387510915
% SZS output start Proof for 1237830893272241387510915
1. ! [X0] : (~wise(X0) <=> (~generous(X0) | brave(X0))) [input p0]
2. ! [X0] : ((~patient(X0) | creative(X0)) <=> (wise(X0) & ~old(X0))) [input p1]
6. ! [X0] : ((~brave(X0) & funny(X0)) <=> ~funny(X0)) [input... | 0 |
Everyone who is wise is not patient or not rich and vice versa.
Everyone who is creative or funny is not patient.
Everyone who is either humble or not strong is happy and vice versa.
Everyone who is not happy is either curious or calm.
If someone is either creative or rich then someone is happy or not brave and vice ve... | Fred is humble. | entailment | (![X]:(wise(X)<=>(~patient(X)|~rich(X))))&
(![X]:((creative(X)|funny(X))=>~patient(X)))&
(![X]:((humble(X)<~>~strong(X))<=>happy(X)))&
(![X]:(~happy(X)=>(curious(X)<~>calm(X))))&
((?[X]:((creative(X)<~>rich(X))))<=>(?[X]:((happy(X)|~brave(X)))))&
(((calm(paul)&~tall(paul)))<=>(?[X]:((~funny(X)|~kind(X)))))&
(![X]:((old... | humble(fred) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 833272181713009883085654
% SZS output start Proof for 833272181713009883085654
1. ! [X0] : (wise(X0) <=> (~rich(X0) | ~patient(X0))) [input p0]
2. ! [X0] : ((funny(X0) | creative(X0)) => ~patient(X0)) [input p1]
3. ! [X0] : ((humble(X0) <~> ~strong(X0)) <=> happy(X0)) [input p2]
4. ! [X0]... | 0 |
If someone is not wise or not rich then lucy is both not kind and not wise and vice versa.
If someone is both strong and funny then someone is rich or not creative and vice versa.
Everyone who is not tall or brave is both not happy and old.
Everyone who is either not tall or curious is not funny.
Everyone who is not cu... | Alice is not old. | contradiction | ((?[X]:((~wise(X)|~rich(X))))<=>((~kind(lucy)&~wise(lucy))))&
((?[X]:((strong(X)&funny(X))))<=>(?[X]:((rich(X)|~creative(X)))))&
(![X]:((~tall(X)|brave(X))=>(~happy(X)&old(X))))&
(![X]:((~tall(X)<~>curious(X))=>~funny(X)))&
(![X]:(~curious(X)<=>(wise(X)<~>~kind(X))))&
((generous(john))=>(~patient(alice)))&
((?[X]:((gen... | ~old(alice) | [
"p2",
"p3",
"p4",
"p8",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8940749243314742665804629
% SZS output start Proof for 8940749243314742665804629
3. ! [X0] : ((brave(X0) | ~tall(X0)) => (old(X0) & ~happy(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> curious(X0)) => ~funny(X0)) [input p3]
5. ! [X0] : (~curious(X0) <=> (wise(X0) <~> ~kind(X0))) [input p4]... | 0 |
If john is not old then someone is both kind and not rich. Everyone who is not brave or not tall is tall or not creative and vice versa. If someone is both not calm and not happy then someone is not brave. If mary is both brave and not quiet then someone is brave or humble. Everyone who is both quiet and not kind is no... | John is not funny. | entailment | ((~old(john))=>(?[X]:((kind(X)&~rich(X)))))&
(![X]:((~brave(X)|~tall(X))<=>(tall(X)|~creative(X))))&
((?[X]:((~calm(X)&~happy(X))))=>(?[X]:(~brave(X))))&
(((brave(mary)&~quiet(mary)))=>(?[X]:((brave(X)|humble(X)))))&
(![X]:((quiet(X)&~kind(X))=>(~patient(X)|tall(X))))&
((?[X]:(~humble(X)))=>(?[X]:(~brave(X))))&
(![X]:(... | ~funny(john) | [
"p1",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6999091675317873281265246
% SZS output start Proof for 6999091675317873281265246
2. ! [X0] : ((~tall(X0) | ~brave(X0)) <=> (~creative(X0) | tall(X0))) [input p1]
7. ! [X0] : ((~happy(X0) | ~tall(X0)) => (~happy(X0) & ~calm(X0))) [input p6]
11. ! [X0] : (~funny(X0) <=> (~tall(X0) | ~brave(... | 0 |
Everyone who is both not rich and patient is either not strong or quiet and vice versa.
If john is strong or wise then someone is old or not patient and vice versa.
If mary is not wise then mary is not humble and vice versa.
Everyone who is not wise is either not tall or not humble.
Everyone who is both not old and not... | Mary is not old. | entailment | (![X]:((~rich(X)&patient(X))<=>(~strong(X)<~>quiet(X))))&
(((strong(john)|wise(john)))<=>(?[X]:((old(X)|~patient(X)))))&
((~wise(mary))<=>(~humble(mary)))&
(![X]:(~wise(X)=>(~tall(X)<~>~humble(X))))&
(![X]:((~old(X)&~brave(X))<=>(creative(X)|~tall(X))))&
(![X]:((strong(X)|creative(X))=>(~quiet(X)&funny(X))))&
(![X]:((~... | ~old(mary) | [
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5723835007414091408707201
% SZS output start Proof for 5723835007414091408707201
5. ! [X0] : ((~brave(X0) & ~old(X0)) <=> (~tall(X0) | creative(X0))) [input p4]
16. ! [X0] : ((~old(X0) <~> old(X0)) => ~tall(X0)) [input p15]
24. old(mary) [input hypothesis]
36. ! [X0] : (~tall(X0) | (~old(... | 0 |
Everyone who is not strong is both not humble and not generous and vice versa. Everyone who is not quiet or not strong is not brave and vice versa. Everyone who is either curious or strong is either not quiet or not brave. If mary is both not calm and not quiet then someone is either happy or not happy and vice versa. ... | Fred is not patient. | entailment | (![X]:(~strong(X)<=>(~humble(X)&~generous(X))))&
(![X]:((~quiet(X)|~strong(X))<=>~brave(X)))&
(![X]:((curious(X)<~>strong(X))=>(~quiet(X)<~>~brave(X))))&
(((~calm(mary)&~quiet(mary)))<=>(?[X]:((happy(X)<~>~happy(X)))))&
(((~creative(alice)|~strong(alice)))<=>(?[X]:((~calm(X)<~>~humble(X)))))&
(((~kind(susan)|~tall(susa... | ~patient(fred) | [
"p0",
"p1",
"p2",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4116971937449184254147965
% SZS output start Proof for 4116971937449184254147965
1. ! [X0] : (~strong(X0) <=> (~generous(X0) & ~humble(X0))) [input p0]
2. ! [X0] : ((~strong(X0) | ~quiet(X0)) <=> ~brave(X0)) [input p1]
3. ! [X0] : ((curious(X0) <~> strong(X0)) => (~quiet(X0) <~> ~brave(X0... | 0 |
Everyone who is both not strong and rich is both calm and not calm and vice versa.
If someone is either quiet or not curious then someone is kind or calm.
Everyone who is not kind or funny is both not rich and curious.
Everyone who is either calm or brave is either tall or not curious and vice versa.
Everyone who is st... | John is rich. | neutral | (![X]:((~strong(X)&rich(X))<=>(calm(X)&~calm(X))))&
((?[X]:((quiet(X)<~>~curious(X))))=>(?[X]:((kind(X)|calm(X)))))&
(![X]:((~kind(X)|funny(X))=>(~rich(X)&curious(X))))&
(![X]:((calm(X)<~>brave(X))<=>(tall(X)<~>~curious(X))))&
(![X]:(strong(X)=>(funny(X)<~>strong(X))))&
((~funny(alice))=>(?[X]:(quiet(X))))&
((kind(susa... | rich(john) | [] | null | 0 |
If alice is either not brave or curious then someone is calm or funny and vice versa. Everyone who is both tall and patient is strong or not strong and vice versa. Everyone who is either not quiet or not strong is quiet and vice versa. If someone is either happy or not strong then paul is either generous or strong and ... | Lucy is strong. | contradiction | (((~brave(alice)<~>curious(alice)))<=>(?[X]:((calm(X)|funny(X)))))&
(![X]:((tall(X)&patient(X))<=>(strong(X)|~strong(X))))&
(![X]:((~quiet(X)<~>~strong(X))<=>quiet(X)))&
((?[X]:((happy(X)<~>~strong(X))))<=>((generous(paul)<~>strong(paul))))&
((?[X]:((brave(X)|~brave(X))))=>(?[X]:(~kind(X))))&
(((quiet(mary)&calm(mary))... | strong(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7952732580123956105428919
% SZS output start Proof for 7952732580123956105428919
3. ! [X0] : ((~quiet(X0) <~> ~strong(X0)) <=> quiet(X0)) [input p2]
23. strong(lucy) [input hypothesis]
41. ! [X0] : ((((strong(X0) | quiet(X0)) & (~strong(X0) | ~quiet(X0))) | ~quiet(X0)) & (quiet(X0) | ((~q... | 0 |
Everyone who is both not generous and not patient is both not patient and rich and vice versa. Everyone who is calm or not creative is tall and vice versa. Everyone who is patient or creative is not brave. If susan is either not kind or old then lucy is rich or kind and vice versa. If someone is not patient then someon... | Susan is not tall. | neutral | (![X]:((~generous(X)&~patient(X))<=>(~patient(X)&rich(X))))&
(![X]:((calm(X)|~creative(X))<=>tall(X)))&
(![X]:((patient(X)|creative(X))=>~brave(X)))&
(((~kind(susan)<~>old(susan)))<=>((rich(lucy)|kind(lucy))))&
((?[X]:(~patient(X)))=>(?[X]:((curious(X)&~patient(X)))))&
(((creative(john)|~rich(john)))<=>(?[X]:((~curious... | ~tall(susan) | [] | null | 0 |
Everyone who is either quiet or not quiet is not wise or humble and vice versa.
If someone is either old or tall then someone is curious or kind and vice versa.
If mary is both not humble and tall then alice is either kind or rich.
Everyone who is both creative and curious is not tall or not rich and vice versa.
Everyo... | Mary is not wise. | neutral | (![X]:((quiet(X)<~>~quiet(X))<=>(~wise(X)|humble(X))))&
((?[X]:((old(X)<~>tall(X))))<=>(?[X]:((curious(X)|kind(X)))))&
(((~humble(mary)&tall(mary)))=>((kind(alice)<~>rich(alice))))&
(![X]:((creative(X)&curious(X))<=>(~tall(X)|~rich(X))))&
(![X]:((~strong(X)&~tall(X))<=>(~calm(X)|~patient(X))))&
(((~tall(john)|old(john)... | ~wise(mary) | [] | null | 0 |
Everyone who is not wise or creative is both quiet and curious and vice versa. Everyone who is either creative or calm is both not calm and wise. If someone is either not curious or curious then someone is wise or not tall. Everyone who is brave is both not tall and not generous and vice versa. If someone is both humbl... | Fred is not kind. | neutral | (![X]:((~wise(X)|creative(X))<=>(quiet(X)&curious(X))))&
(![X]:((creative(X)<~>calm(X))=>(~calm(X)&wise(X))))&
((?[X]:((~curious(X)<~>curious(X))))=>(?[X]:((wise(X)|~tall(X)))))&
(![X]:(brave(X)<=>(~tall(X)&~generous(X))))&
((?[X]:((humble(X)&~kind(X))))=>((patient(lucy)<~>~generous(lucy))))&
((?[X]:((old(X)&~strong(X)... | ~kind(fred) | [] | null | 0 |
If someone is quiet or not funny then john is either generous or not old and vice versa.
Everyone who is not wise is either creative or not wise.
Everyone who is not wise is wise or funny and vice versa.
Everyone who is both happy and creative is not tall and vice versa.
If paul is not wise or not calm then lucy is eit... | John is not strong. | neutral | ((?[X]:((quiet(X)|~funny(X))))<=>((generous(john)<~>~old(john))))&
(![X]:(~wise(X)=>(creative(X)<~>~wise(X))))&
(![X]:(~wise(X)<=>(wise(X)|funny(X))))&
(![X]:((happy(X)&creative(X))<=>~tall(X)))&
(((~wise(paul)|~calm(paul)))<=>((happy(lucy)<~>funny(lucy))))&
(![X]:((~kind(X)|~strong(X))<=>tall(X)))&
(((funny(mary)<~>hu... | ~strong(john) | [] | null | 0 |
If someone is either brave or not funny then someone is strong or curious.
Everyone who is either quiet or not rich is both not wise and not rich and vice versa.
Everyone who is both not tall and not humble is funny or rich and vice versa.
Everyone who is not calm or not quiet is both rich and not old and vice versa.
E... | Alice is calm. | entailment | ((?[X]:((brave(X)<~>~funny(X))))=>(?[X]:((strong(X)|curious(X)))))&
(![X]:((quiet(X)<~>~rich(X))<=>(~wise(X)&~rich(X))))&
(![X]:((~tall(X)&~humble(X))<=>(funny(X)|rich(X))))&
(![X]:((~calm(X)|~quiet(X))<=>(rich(X)&~old(X))))&
(![X]:((old(X)<~>~funny(X))=>(humble(X)|~tall(X))))&
(![X]:((~tall(X)|~quiet(X))=>(generous(X)... | calm(alice) | [
"p2",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7653078157694585551771782
% SZS output start Proof for 7653078157694585551771782
3. ! [X0] : ((~humble(X0) & ~tall(X0)) <=> (rich(X0) | funny(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> (~old(X0) & rich(X0))) [input p3]
6. ! [X0] : ((~quiet(X0) | ~tall(X0)) => (calm(X0) & g... | 0 |
Everyone who is old is either not happy or not kind and vice versa.
Everyone who is curious is both not strong and humble.
Everyone who is not brave is humble and vice versa.
Everyone who is both not kind and not happy is both not curious and not patient and vice versa.
Everyone who is not creative or rich is not old a... | Paul is brave. | entailment | (![X]:(old(X)<=>(~happy(X)<~>~kind(X))))&
(![X]:(curious(X)=>(~strong(X)&humble(X))))&
(![X]:(~brave(X)<=>humble(X)))&
(![X]:((~kind(X)&~happy(X))<=>(~curious(X)&~patient(X))))&
(![X]:((~creative(X)|rich(X))<=>~old(X)))&
(![X]:((~kind(X)|tall(X))<=>(calm(X)&~curious(X))))&
(![X]:(~rich(X)<=>(~happy(X)|rich(X))))&
(![X]... | brave(paul) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p7",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6640907613391000255964825
% SZS output start Proof for 6640907613391000255964825
1. ! [X0] : (old(X0) <=> (~happy(X0) <~> ~kind(X0))) [input p0]
2. ! [X0] : (curious(X0) => (humble(X0) & ~strong(X0))) [input p1]
3. ! [X0] : (~brave(X0) <=> humble(X0)) [input p2]
4. ! [X0] : ((~happy(X0) &... | 0 |
Everyone who is both funny and not brave is either not brave or curious.
Everyone who is not curious is generous or tall.
If someone is not creative then someone is brave and vice versa.
Everyone who is humble is brave and vice versa.
Everyone who is both patient and funny is either not tall or not brave and vice versa... | Lucy is wise. | entailment | (![X]:((funny(X)&~brave(X))=>(~brave(X)<~>curious(X))))&
(![X]:(~curious(X)=>(generous(X)|tall(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(brave(X))))&
(![X]:(humble(X)<=>brave(X)))&
(![X]:((patient(X)&funny(X))<=>(~tall(X)<~>~brave(X))))&
((?[X]:((~wise(X)<~>brave(X))))=>(?[X]:(calm(X))))&
(![X]:((~creative(X)|happy(X))<=>... | wise(lucy) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7700097391530543785915385
% SZS output start Proof for 7700097391530543785915385
7. ! [X0] : ((happy(X0) | ~creative(X0)) <=> wise(X0)) [input p6]
24. happy(lucy) & humble(lucy) [input p23]
25. ~wise(lucy) [input hypothesis]
56. ! [X0] : (((happy(X0) | ~creative(X0)) | ~wise(X0)) & (wise(... | 0 |
If susan is funny or generous then someone is strong or not quiet and vice versa.
If someone is either not funny or not old then someone is funny or not generous and vice versa.
Everyone who is either calm or quiet is either not generous or happy and vice versa.
If someone is wise then someone is not tall or creative a... | Susan is patient. | neutral | (((funny(susan)|generous(susan)))<=>(?[X]:((strong(X)|~quiet(X)))))&
((?[X]:((~funny(X)<~>~old(X))))<=>(?[X]:((funny(X)|~generous(X)))))&
(![X]:((calm(X)<~>quiet(X))<=>(~generous(X)<~>happy(X))))&
((?[X]:(wise(X)))<=>(?[X]:((~tall(X)|creative(X)))))&
(![X]:((~creative(X)|~generous(X))<=>(~strong(X)|kind(X))))&
(![X]:((... | patient(susan) | [] | null | 0 |
Everyone who is both not generous and not humble is kind.
If someone is quiet then alice is both creative and not old and vice versa.
Everyone who is either brave or not patient is old or wise.
Everyone who is patient is not strong or not brave and vice versa.
Everyone who is both wise and happy is not old or kind and ... | Alice is not quiet. | entailment | (![X]:((~generous(X)&~humble(X))=>kind(X)))&
((?[X]:(quiet(X)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:((wise(X)&happy(X))<=>(~old(X)|kind(X))))&
(![X]:((~old(X)<~>~curious(X))<=>(~wise(X)|~funny(X))))&
((?[X]:((~stron... | ~quiet(alice) | [
"p1",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 498740637231969590721051
% SZS output start Proof for 498740637231969590721051
2. ? [X0] : quiet(X0) <=> (~old(alice) & creative(alice)) [input p1]
12. ! [X0] : ((funny(X0) | rich(X0)) <=> (old(X0) | ~quiet(X0))) [input p11]
23. rich(alice) [input p22]
25. quiet(alice) [input hypothesis]
... | 0 |
If lucy is creative then someone is either not kind or not rich.
If someone is patient then someone is either patient or funny and vice versa.
Everyone who is not funny or not kind is either curious or strong and vice versa.
Everyone who is both quiet and funny is not tall or not rich.
Everyone who is both happy and wi... | John is curious. | entailment | ((creative(lucy))=>(?[X]:((~kind(X)<~>~rich(X)))))&
((?[X]:(patient(X)))<=>(?[X]:((patient(X)<~>funny(X)))))&
(![X]:((~funny(X)|~kind(X))<=>(curious(X)<~>strong(X))))&
(![X]:((quiet(X)&funny(X))=>(~tall(X)|~rich(X))))&
(![X]:((happy(X)&wise(X))=>(kind(X)&humble(X))))&
(![X]:((happy(X)&creative(X))=>(~rich(X)&tall(X))))... | curious(john) | [
"p4",
"p8",
"p10",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6751812180973295281308710
% SZS output start Proof for 6751812180973295281308710
5. ! [X0] : ((wise(X0) & happy(X0)) => (humble(X0) & kind(X0))) [input p4]
9. ! [X0] : ((~creative(X0) & happy(X0)) <=> (calm(X0) | generous(X0))) [input p8]
11. ! [X0] : ((calm(X0) | ~curious(X0)) <=> ~humbl... | 0 |
If paul is old or not kind then susan is brave or rich and vice versa. If someone is both not generous and not calm then lucy is either not strong or not tall and vice versa. If someone is either not strong or not funny then alice is not funny or not patient. If mary is brave then someone is old or not old. Everyone wh... | Susan is not strong. | entailment | (((old(paul)|~kind(paul)))<=>((brave(susan)|rich(susan))))&
((?[X]:((~generous(X)&~calm(X))))<=>((~strong(lucy)<~>~tall(lucy))))&
((?[X]:((~strong(X)<~>~funny(X))))=>((~funny(alice)|~patient(alice))))&
((brave(mary))=>(?[X]:((old(X)|~old(X)))))&
(![X]:(~happy(X)=>~creative(X)))&
((?[X]:(brave(X)))=>(~creative(mary)))&
... | ~strong(susan) | [
"p0",
"p1",
"p7",
"p10",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3065464887167395682715457
% SZS output start Proof for 3065464887167395682715457
1. (~kind(paul) | old(paul)) <=> (rich(susan) | brave(susan)) [input p0]
2. ? [X0] : (~calm(X0) & ~generous(X0)) <=> (~strong(lucy) <~> ~tall(lucy)) [input p1]
8. ! [X0] : ((~creative(X0) <~> ~strong(X0)) => ... | 0 |
If someone is calm or tall then alice is either not strong or rich.
Everyone who is both rich and humble is tall and vice versa.
If fred is both wise and happy then someone is either rich or old and vice versa.
If someone is either not creative or brave then john is either generous or old and vice versa.
Everyone who i... | Alice is not old. | neutral | ((?[X]:((calm(X)|tall(X))))=>((~strong(alice)<~>rich(alice))))&
(![X]:((rich(X)&humble(X))<=>tall(X)))&
(((wise(fred)&happy(fred)))<=>(?[X]:((rich(X)<~>old(X)))))&
((?[X]:((~creative(X)<~>brave(X))))<=>((generous(john)<~>old(john))))&
(![X]:(curious(X)=>(~tall(X)|~curious(X))))&
((?[X]:(~happy(X)))=>(?[X]:((creative(X)... | ~old(alice) | [] | null | 0 |
If someone is both brave and not wise then someone is not tall.
If mary is either not brave or not calm then someone is calm.
Everyone who is either not strong or creative is not quiet or calm and vice versa.
Everyone who is either funny or not old is not curious or kind and vice versa.
If lucy is humble or not humble ... | Mary is brave. | neutral | ((?[X]:((brave(X)&~wise(X))))=>(?[X]:(~tall(X))))&
(((~brave(mary)<~>~calm(mary)))=>(?[X]:(calm(X))))&
(![X]:((~strong(X)<~>creative(X))<=>(~quiet(X)|calm(X))))&
(![X]:((funny(X)<~>~old(X))<=>(~curious(X)|kind(X))))&
(((humble(lucy)|~humble(lucy)))<=>(?[X]:(rich(X))))&
(![X]:((~happy(X)&calm(X))=>(~rich(X)&strong(X))))... | brave(mary) | [] | null | 0 |
If susan is not humble then someone is both tall and not creative and vice versa. If lucy is humble or quiet then susan is not calm or calm and vice versa. If someone is tall then alice is not rich. Everyone who is rich is curious or humble and vice versa. Everyone who is strong is both not humble and curious and vice ... | Susan is tall. | contradiction | ((~humble(susan))<=>(?[X]:((tall(X)&~creative(X)))))&
(((humble(lucy)|quiet(lucy)))<=>((~calm(susan)|calm(susan))))&
((?[X]:(tall(X)))=>(~rich(alice)))&
(![X]:(rich(X)<=>(curious(X)|humble(X))))&
(![X]:(strong(X)<=>(~humble(X)&curious(X))))&
(![X]:((curious(X)&kind(X))<=>(~quiet(X)|~strong(X))))&
(![X]:((generous(X)&~c... | tall(susan) | [
"p2",
"p3",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1141067325582977547894997
% SZS output start Proof for 1141067325582977547894997
3. ? [X0] : tall(X0) => ~rich(alice) [input p2]
4. ! [X0] : (rich(X0) <=> (humble(X0) | curious(X0))) [input p3]
5. ! [X0] : (strong(X0) <=> (curious(X0) & ~humble(X0))) [input p4]
6. ! [X0] : ((kind(X0) & cu... | 0 |
If john is both not happy and not humble then someone is either not happy or not patient.
If paul is happy then someone is both rich and not calm and vice versa.
If someone is old then paul is both not humble and not brave and vice versa.
Everyone who is either tall or not quiet is both not humble and wise and vice ver... | Lucy is happy. | neutral | (((~happy(john)&~humble(john)))=>(?[X]:((~happy(X)<~>~patient(X)))))&
((happy(paul))<=>(?[X]:((rich(X)&~calm(X)))))&
((?[X]:(old(X)))<=>((~humble(paul)&~brave(paul))))&
(![X]:((tall(X)<~>~quiet(X))<=>(~humble(X)&wise(X))))&
((?[X]:((humble(X)<~>creative(X))))=>(?[X]:((~strong(X)<~>calm(X)))))&
(![X]:((~quiet(X)&~tall(X... | happy(lucy) | [] | null | 0 |
Everyone who is both not funny and strong is both not wise and not quiet. Everyone who is both tall and wise is either not brave or tall. If someone is either not generous or tall then someone is brave or funny and vice versa. Everyone who is not patient is not creative. Everyone who is creative is both not happy and n... | Fred is funny. | entailment | (![X]:((~funny(X)&strong(X))=>(~wise(X)&~quiet(X))))&
(![X]:((tall(X)&wise(X))=>(~brave(X)<~>tall(X))))&
((?[X]:((~generous(X)<~>tall(X))))<=>(?[X]:((brave(X)|funny(X)))))&
(![X]:(~patient(X)=>~creative(X)))&
(![X]:(creative(X)=>(~happy(X)&~old(X))))&
((?[X]:((~brave(X)<~>strong(X))))<=>((strong(paul)|patient(paul))))&... | funny(fred) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3265013503971704995217787
% SZS output start Proof for 3265013503971704995217787
7. ! [X0] : ((~funny(X0) | patient(X0)) <=> quiet(X0)) [input p6]
11. ! [X0] : ((~wise(X0) | quiet(X0)) <=> ~quiet(X0)) [input p10]
22. ~funny(fred) [input hypothesis]
51. ! [X0] : (((~funny(X0) | patient(X0)... | 0 |
If john is either not funny or quiet then fred is happy.
If someone is brave or not wise then susan is both tall and not rich and vice versa.
If someone is humble then lucy is either humble or quiet.
Everyone who is strong is both not wise and strong.
Everyone who is not humble is not quiet or not old.
Everyone who is ... | Fred is funny. | contradiction | (((~funny(john)<~>quiet(john)))=>(happy(fred)))&
((?[X]:((brave(X)|~wise(X))))<=>((tall(susan)&~rich(susan))))&
((?[X]:(humble(X)))=>((humble(lucy)<~>quiet(lucy))))&
(![X]:(strong(X)=>(~wise(X)&strong(X))))&
(![X]:(~humble(X)=>(~quiet(X)|~old(X))))&
(![X]:((curious(X)|creative(X))=>tall(X)))&
(![X]:(generous(X)<=>curio... | funny(fred) | [
"p5",
"p6",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4982946024911640829960828
% SZS output start Proof for 4982946024911640829960828
6. ! [X0] : ((creative(X0) | curious(X0)) => tall(X0)) [input p5]
7. ! [X0] : (generous(X0) <=> curious(X0)) [input p6]
8. ! [X0] : ((~calm(X0) & ~generous(X0)) <=> (~generous(X0) | ~happy(X0))) [input p7]
9.... | 0 |
If alice is either funny or patient then john is old or not funny.
Everyone who is not patient is not calm or funny.
Everyone who is either not strong or strong is both old and not strong and vice versa.
If someone is not patient or wise then john is wise.
If lucy is either curious or not quiet then mary is not curious... | Alice is not old. | contradiction | (((funny(alice)<~>patient(alice)))=>((old(john)|~funny(john))))&
(![X]:(~patient(X)=>(~calm(X)|funny(X))))&
(![X]:((~strong(X)<~>strong(X))<=>(old(X)&~strong(X))))&
((?[X]:((~patient(X)|wise(X))))=>(wise(john)))&
(((curious(lucy)<~>~quiet(lucy)))=>(~curious(mary)))&
(![X]:((~humble(X)|creative(X))<=>(~happy(X)<~>~creat... | ~old(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 497183197341681383354008
% SZS output start Proof for 497183197341681383354008
3. ! [X0] : ((~strong(X0) <~> strong(X0)) <=> (~strong(X0) & old(X0))) [input p2]
23. ~old(alice) [input hypothesis]
43. ! [X0] : ((((~strong(X0) | strong(X0)) & (strong(X0) | ~strong(X0))) | (strong(X0) | ~old... | 0 |
If someone is both not happy and not quiet then someone is either not quiet or old.
Everyone who is both rich and not calm is not calm and vice versa.
If someone is either humble or not funny then someone is both rich and curious.
Everyone who is either not quiet or happy is either wise or not calm.
Everyone who is cur... | Lucy is calm. | contradiction | ((?[X]:((~happy(X)&~quiet(X))))=>(?[X]:((~quiet(X)<~>old(X)))))&
(![X]:((rich(X)&~calm(X))<=>~calm(X)))&
((?[X]:((humble(X)<~>~funny(X))))=>(?[X]:((rich(X)&curious(X)))))&
(![X]:((~quiet(X)<~>happy(X))=>(wise(X)<~>~calm(X))))&
(![X]:(curious(X)<=>(~patient(X)|~curious(X))))&
((~generous(mary))=>(?[X]:((brave(X)|~brave(... | calm(lucy) | [
"p4",
"p7",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2165549195318804480395478
% SZS output start Proof for 2165549195318804480395478
5. ! [X0] : (curious(X0) <=> (~curious(X0) | ~patient(X0))) [input p4]
8. ! [X0] : ((funny(X0) <~> calm(X0)) <=> (~wise(X0) | calm(X0))) [input p7]
11. ! [X0] : ((rich(X0) <~> curious(X0)) => (kind(X0) <~> fu... | 0 |
If someone is both humble and calm then someone is wise and vice versa.
If mary is both not rich and quiet then someone is both not wise and not humble and vice versa.
Everyone who is not patient is both tall and creative and vice versa.
Everyone who is both happy and creative is wise or humble.
Everyone who is funny i... | Fred is patient. | neutral | ((?[X]:((humble(X)&calm(X))))<=>(?[X]:(wise(X))))&
(((~rich(mary)&quiet(mary)))<=>(?[X]:((~wise(X)&~humble(X)))))&
(![X]:(~patient(X)<=>(tall(X)&creative(X))))&
(![X]:((happy(X)&creative(X))=>(wise(X)|humble(X))))&
(![X]:(funny(X)=>~strong(X)))&
(![X]:(happy(X)=>(creative(X)<~>~wise(X))))&
(![X]:((~kind(X)|wise(X))=>(s... | patient(fred) | [] | null | 0 |
If alice is brave then susan is both not tall and not happy and vice versa. Everyone who is not tall is both wise and generous. If alice is curious then someone is curious or not tall and vice versa. If susan is both not funny and not calm then someone is either not curious or not strong and vice versa. If someone is e... | Alice is brave. | contradiction | ((brave(alice))<=>((~tall(susan)&~happy(susan))))&
(![X]:(~tall(X)=>(wise(X)&generous(X))))&
((curious(alice))<=>(?[X]:((curious(X)|~tall(X)))))&
(((~funny(susan)&~calm(susan)))<=>(?[X]:((~curious(X)<~>~strong(X)))))&
((?[X]:((~creative(X)<~>generous(X))))=>((tall(paul)|patient(paul))))&
(![X]:(rich(X)=>humble(X)))&
(!... | brave(alice) | [
"p0",
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3504291967360306937579617
% SZS output start Proof for 3504291967360306937579617
1. brave(alice) <=> (~happy(susan) & ~tall(susan)) [input p0]
2. ! [X0] : (~tall(X0) => (generous(X0) & wise(X0))) [input p1]
8. ! [X0] : (wise(X0) <=> (old(X0) & ~wise(X0))) [input p7]
24. brave(alice) [inpu... | 0 |
Everyone who is not creative or funny is generous or creative. Everyone who is patient or creative is both not generous and quiet. Everyone who is both not rich and old is both not creative and happy and vice versa. Everyone who is not generous is both not patient and not creative. Everyone who is calm is kind or not f... | Paul is not creative. | entailment | (![X]:((~creative(X)|funny(X))=>(generous(X)|creative(X))))&
(![X]:((patient(X)|creative(X))=>(~generous(X)&quiet(X))))&
(![X]:((~rich(X)&old(X))<=>(~creative(X)&happy(X))))&
(![X]:(~generous(X)=>(~patient(X)&~creative(X))))&
(![X]:(calm(X)<=>(kind(X)|~funny(X))))&
(((brave(lucy)<~>creative(lucy)))=>(?[X]:((patient(X)<... | ~creative(paul) | [
"p0",
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 82655015659115992357960
% SZS output start Proof for 82655015659115992357960
1. ! [X0] : ((funny(X0) | ~creative(X0)) => (creative(X0) | generous(X0))) [input p0]
2. ! [X0] : ((creative(X0) | patient(X0)) => (quiet(X0) & ~generous(X0))) [input p1]
4. ! [X0] : (~generous(X0) => (~creative(... | 0 |
Everyone who is either not old or not funny is not old and vice versa.
Everyone who is not happy or creative is funny or not brave and vice versa.
Everyone who is kind is either happy or not humble and vice versa.
If someone is not patient or quiet then alice is curious or creative and vice versa.
If alice is both stro... | Alice is not kind. | entailment | (![X]:((~old(X)<~>~funny(X))<=>~old(X)))&
(![X]:((~happy(X)|creative(X))<=>(funny(X)|~brave(X))))&
(![X]:(kind(X)<=>(happy(X)<~>~humble(X))))&
((?[X]:((~patient(X)|quiet(X))))<=>((curious(alice)|creative(alice))))&
(((strong(alice)&~kind(alice)))=>(?[X]:((quiet(X)<~>~curious(X)))))&
(![X]:((~humble(X)&~curious(X))<=>(~... | ~kind(alice) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7127494584098477196950442
% SZS output start Proof for 7127494584098477196950442
3. ! [X0] : (kind(X0) <=> (happy(X0) <~> ~humble(X0))) [input p2]
12. ! [X0] : (humble(X0) <=> ~happy(X0)) [input p11]
25. kind(alice) [input hypothesis]
37. ! [X0] : ((kind(X0) | ((happy(X0) | humble(X0)) & ... | 0 |
Everyone who is patient or not curious is curious and vice versa.
Everyone who is not generous is both not wise and patient.
If someone is either quiet or not brave then john is either tall or not calm and vice versa.
Everyone who is both not humble and strong is not strong and vice versa.
Everyone who is both not brav... | John is not humble. | contradiction | (![X]:((patient(X)|~curious(X))<=>curious(X)))&
(![X]:(~generous(X)=>(~wise(X)&patient(X))))&
((?[X]:((quiet(X)<~>~brave(X))))<=>((tall(john)<~>~calm(john))))&
(![X]:((~humble(X)&strong(X))<=>~strong(X)))&
(![X]:((~brave(X)&~quiet(X))=>(quiet(X)|~creative(X))))&
(![X]:((~wise(X)|quiet(X))<=>~creative(X)))&
(![X]:((quie... | ~humble(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2214848825537945941612080
% SZS output start Proof for 2214848825537945941612080
4. ! [X0] : ((strong(X0) & ~humble(X0)) <=> ~strong(X0)) [input p3]
24. ~humble(john) [input hypothesis]
41. ! [X0] : (((strong(X0) & ~humble(X0)) | strong(X0)) & (~strong(X0) | (~strong(X0) | humble(X0)))) [... | 0 |
Everyone who is not generous or generous is rich. Everyone who is kind is not humble or not curious and vice versa. Everyone who is not brave is not quiet or rich and vice versa. If someone is both curious and creative then someone is not humble or curious and vice versa. Everyone who is both old and not wise is both n... | Mary is not kind. | neutral | (![X]:((~generous(X)|generous(X))=>rich(X)))&
(![X]:(kind(X)<=>(~humble(X)|~curious(X))))&
(![X]:(~brave(X)<=>(~quiet(X)|rich(X))))&
((?[X]:((curious(X)&creative(X))))<=>(?[X]:((~humble(X)|curious(X)))))&
(![X]:((old(X)&~wise(X))=>(~curious(X)&~old(X))))&
(((~quiet(fred)<~>~patient(fred)))<=>(?[X]:((~brave(X)&creative(... | ~kind(mary) | [] | null | 0 |
Everyone who is tall is both patient and not strong.
Everyone who is either not calm or not generous is either happy or not tall and vice versa.
If alice is humble then someone is wise.
Everyone who is not happy or not tall is either not curious or curious and vice versa.
Everyone who is curious is either kind or rich.... | Alice is generous. | entailment | (![X]:(tall(X)=>(patient(X)&~strong(X))))&
(![X]:((~calm(X)<~>~generous(X))<=>(happy(X)<~>~tall(X))))&
((humble(alice))=>(?[X]:(wise(X))))&
(![X]:((~happy(X)|~tall(X))<=>(~curious(X)<~>curious(X))))&
(![X]:(curious(X)=>(kind(X)<~>rich(X))))&
(((~kind(lucy)|generous(lucy)))<=>(?[X]:(~humble(X))))&
(((curious(fred)|creat... | generous(alice) | [
"p1",
"p7",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7050115500148587263101649
% SZS output start Proof for 7050115500148587263101649
2. ! [X0] : ((~calm(X0) <~> ~generous(X0)) <=> (happy(X0) <~> ~tall(X0))) [input p1]
8. (~calm(alice) <~> ~generous(alice)) <=> ? [X0] : (happy(X0) <~> ~old(X0)) [input p7]
10. ! [X0] : ((~generous(X0) <~> ca... | 0 |
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