premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is funny or tall is either not curious or old. Everyone who is both strong and not creative is not tall and vice versa. Everyone who is both not rich and not strong is old or brave. If someone is not brave or not calm then someone is both not old and not tall. Everyone who is either old or wise is creative... | Lucy is quiet. | entailment | (![X]:((funny(X)|tall(X))=>(~curious(X)<~>old(X))))&
(![X]:((strong(X)&~creative(X))<=>~tall(X)))&
(![X]:((~rich(X)&~strong(X))=>(old(X)|brave(X))))&
((?[X]:((~brave(X)|~calm(X))))=>(?[X]:((~old(X)&~tall(X)))))&
(![X]:((old(X)<~>wise(X))=>(creative(X)|~brave(X))))&
(((curious(alice)<~>~creative(alice)))=>(?[X]:((happy(... | quiet(lucy) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2327748952568768105667871
% SZS output start Proof for 2327748952568768105667871
15. ! [X0] : ((quiet(X0) & curious(X0)) <=> (~brave(X0) | ~humble(X0))) [input p14]
20. ~humble(lucy) & funny(lucy) [input p19]
25. ~quiet(lucy) [input hypothesis]
71. ! [X0] : (((quiet(X0) & curious(X0)) | (... | 0 |
Everyone who is either not strong or rich is both not strong and kind.
If someone is not wise then john is calm and vice versa.
Everyone who is both brave and not curious is generous.
Everyone who is not curious or strong is old or not quiet and vice versa.
Everyone who is creative or not tall is old or funny.
If john ... | Mary is not old. | neutral | (![X]:((~strong(X)<~>rich(X))=>(~strong(X)&kind(X))))&
((?[X]:(~wise(X)))<=>(calm(john)))&
(![X]:((brave(X)&~curious(X))=>generous(X)))&
(![X]:((~curious(X)|strong(X))<=>(old(X)|~quiet(X))))&
(![X]:((creative(X)|~tall(X))=>(old(X)|funny(X))))&
(((~quiet(john)|~strong(john)))=>(~creative(paul)))&
((?[X]:((~humble(X)<~>c... | ~old(mary) | [] | null | 0 |
Everyone who is either creative or not happy is either not calm or not humble. Everyone who is not funny or kind is creative or wise and vice versa. If fred is either creative or not old then fred is both not kind and calm. If someone is both brave and old then someone is both happy and funny. Everyone who is either br... | Paul is not curious. | contradiction | (![X]:((creative(X)<~>~happy(X))=>(~calm(X)<~>~humble(X))))&
(![X]:((~funny(X)|kind(X))<=>(creative(X)|wise(X))))&
(((creative(fred)<~>~old(fred)))=>((~kind(fred)&calm(fred))))&
((?[X]:((brave(X)&old(X))))=>(?[X]:((happy(X)&funny(X)))))&
(![X]:((brave(X)<~>~quiet(X))<=>(~creative(X)&~kind(X))))&
(![X]:((~old(X)<~>~crea... | ~curious(paul) | [
"p4",
"p5",
"p6",
"p8",
"p12",
"p14",
"p15",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8458548539409114909787192
% SZS output start Proof for 8458548539409114909787192
5. ! [X0] : ((brave(X0) <~> ~quiet(X0)) <=> (~kind(X0) & ~creative(X0))) [input p4]
6. ! [X0] : ((~old(X0) <~> ~creative(X0)) => ~rich(X0)) [input p5]
7. ? [X0] : (brave(X0) & calm(X0)) <=> ? [X0] : (~creativ... | 0 |
If fred is happy or old then alice is not calm and vice versa.
Everyone who is both funny and not quiet is not old and vice versa.
If someone is both not old and not curious then someone is either not calm or not quiet and vice versa.
Everyone who is both wise and happy is patient or not creative and vice versa.
If som... | Paul is not generous. | entailment | (((happy(fred)|old(fred)))<=>(~calm(alice)))&
(![X]:((funny(X)&~quiet(X))<=>~old(X)))&
((?[X]:((~old(X)&~curious(X))))<=>(?[X]:((~calm(X)<~>~quiet(X)))))&
(![X]:((wise(X)&happy(X))<=>(patient(X)|~creative(X))))&
((?[X]:((tall(X)&strong(X))))=>(?[X]:(~generous(X))))&
((?[X]:((~old(X)|brave(X))))<=>(?[X]:(generous(X))))&... | ~generous(paul) | [
"p1",
"p5",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7164959906700458440908165
% SZS output start Proof for 7164959906700458440908165
2. ! [X0] : ((~quiet(X0) & funny(X0)) <=> ~old(X0)) [input p1]
6. ? [X0] : (brave(X0) | ~old(X0)) <=> ? [X0] : generous(X0) [input p5]
10. ! [X0] : (~wise(X0) <=> (old(X0) <~> ~funny(X0))) [input p9]
13. ! [X... | 0 |
If someone is not humble or not funny then someone is not creative and vice versa.
Everyone who is not patient is not strong and vice versa.
If someone is rich then someone is either quiet or wise and vice versa.
If mary is not curious then john is not funny.
Everyone who is not old is both patient and not happy.
If so... | John is not calm. | entailment | ((?[X]:((~humble(X)|~funny(X))))<=>(?[X]:(~creative(X))))&
(![X]:(~patient(X)<=>~strong(X)))&
((?[X]:(rich(X)))<=>(?[X]:((quiet(X)<~>wise(X)))))&
((~curious(mary))=>(~funny(john)))&
(![X]:(~old(X)=>(patient(X)&~happy(X))))&
((?[X]:(old(X)))<=>(happy(paul)))&
(![X]:((curious(X)<~>creative(X))=>(~brave(X)|~rich(X))))&
((... | ~calm(john) | [
"p4",
"p5",
"p7",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1812756622786715791489662
% SZS output start Proof for 1812756622786715791489662
5. ! [X0] : (~old(X0) => (~happy(X0) & patient(X0))) [input p4]
6. ? [X0] : old(X0) <=> happy(paul) [input p5]
8. happy(mary) <=> ? [X0] : (~generous(X0) | ~humble(X0)) [input p7]
9. ! [X0] : ((~humble(X0) <~... | 0 |
If someone is both calm and old then someone is either tall or old.
If alice is strong then someone is quiet or not wise and vice versa.
Everyone who is creative or not humble is both old and humble and vice versa.
Everyone who is funny or wise is both not old and not creative and vice versa.
If susan is either not kin... | John is wise. | contradiction | ((?[X]:((calm(X)&old(X))))=>(?[X]:((tall(X)<~>old(X)))))&
((strong(alice))<=>(?[X]:((quiet(X)|~wise(X)))))&
(![X]:((creative(X)|~humble(X))<=>(old(X)&humble(X))))&
(![X]:((funny(X)|wise(X))<=>(~old(X)&~creative(X))))&
(((~kind(susan)<~>generous(susan)))<=>(?[X]:((wise(X)<~>~calm(X)))))&
(![X]:((~old(X)<~>~wise(X))<=>(h... | wise(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6036749324048550552418651
% SZS output start Proof for 6036749324048550552418651
21. ~wise(john) & kind(john) [input p20]
24. wise(john) [input hypothesis]
143. ~wise(john) [cnf transformation 21]
147. wise(john) [cnf transformation 24]
304. $false [subsumption resolution 147,143]
% SZS o... | 0 |
If someone is either not rich or not quiet then john is both not calm and strong.
Everyone who is both creative and quiet is happy and vice versa.
Everyone who is kind or creative is either not old or not curious.
Everyone who is patient or wise is creative or humble and vice versa.
If alice is creative or not funny th... | Paul is not brave. | contradiction | ((?[X]:((~rich(X)<~>~quiet(X))))=>((~calm(john)&strong(john))))&
(![X]:((creative(X)&quiet(X))<=>happy(X)))&
(![X]:((kind(X)|creative(X))=>(~old(X)<~>~curious(X))))&
(![X]:((patient(X)|wise(X))<=>(creative(X)|humble(X))))&
(((creative(alice)|~funny(alice)))<=>((calm(paul)|kind(paul))))&
(![X]:(strong(X)<=>(~brave(X)<~>... | ~brave(paul) | [
"p5",
"p6",
"p10",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8632578150487664929763650
% SZS output start Proof for 8632578150487664929763650
6. ! [X0] : (strong(X0) <=> (~brave(X0) <~> calm(X0))) [input p5]
7. ! [X0] : (~old(X0) => (~calm(X0) & calm(X0))) [input p6]
11. ! [X0] : (old(X0) => kind(X0)) [input p10]
13. ! [X0] : ((happy(X0) | ~strong(... | 0 |
Everyone who is not quiet or creative is creative or not rich and vice versa. Everyone who is either not patient or wise is both not humble and quiet. If john is brave or not happy then someone is not rich or not happy. Everyone who is not patient or not generous is strong. If someone is old then someone is either happ... | Paul is not funny. | neutral | (![X]:((~quiet(X)|creative(X))<=>(creative(X)|~rich(X))))&
(![X]:((~patient(X)<~>wise(X))=>(~humble(X)&quiet(X))))&
(((brave(john)|~happy(john)))=>(?[X]:((~rich(X)|~happy(X)))))&
(![X]:((~patient(X)|~generous(X))=>strong(X)))&
((?[X]:(old(X)))<=>(?[X]:((happy(X)<~>~funny(X)))))&
((?[X]:((~quiet(X)|~funny(X))))<=>(?[X]:... | ~funny(paul) | [] | null | 0 |
Everyone who is both not patient and wise is either creative or rich and vice versa.
If john is not funny or brave then someone is either happy or not happy.
Everyone who is both creative and not quiet is both patient and quiet and vice versa.
Everyone who is not strong or calm is both rich and not brave and vice versa... | Mary is brave. | contradiction | (![X]:((~patient(X)&wise(X))<=>(creative(X)<~>rich(X))))&
(((~funny(john)|brave(john)))=>(?[X]:((happy(X)<~>~happy(X)))))&
(![X]:((creative(X)&~quiet(X))<=>(patient(X)&quiet(X))))&
(![X]:((~strong(X)|calm(X))<=>(rich(X)&~brave(X))))&
((?[X]:((~rich(X)|~humble(X))))<=>(?[X]:((~patient(X)&~tall(X)))))&
((?[X]:((~patient(... | brave(mary) | [
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5327846729611398650694962
% SZS output start Proof for 5327846729611398650694962
4. ! [X0] : ((calm(X0) | ~strong(X0)) <=> (~brave(X0) & rich(X0))) [input p3]
12. ! [X0] : ((generous(X0) & ~humble(X0)) <=> (humble(X0) | happy(X0))) [input p11]
16. ! [X0] : (humble(X0) <=> (~calm(X0) | kin... | 0 |
If someone is either not rich or not patient then alice is calm and vice versa.
Everyone who is not brave is both not wise and funny.
Everyone who is not rich or not creative is not strong.
Everyone who is calm or generous is either rich or not calm.
Everyone who is either curious or creative is either generous or not ... | Susan is not calm. | neutral | ((?[X]:((~rich(X)<~>~patient(X))))<=>(calm(alice)))&
(![X]:(~brave(X)=>(~wise(X)&funny(X))))&
(![X]:((~rich(X)|~creative(X))=>~strong(X)))&
(![X]:((calm(X)|generous(X))=>(rich(X)<~>~calm(X))))&
(![X]:((curious(X)<~>creative(X))=>(generous(X)<~>~humble(X))))&
(![X]:((~creative(X)<~>curious(X))<=>(brave(X)&tall(X))))&
(!... | ~calm(susan) | [] | null | 0 |
If fred is either not wise or not brave then someone is either not strong or not curious and vice versa.
Everyone who is tall or not old is not curious and vice versa.
If lucy is both rich and not kind then paul is not kind or rich and vice versa.
Everyone who is both tall and not humble is not old or wise.
Everyone wh... | Fred is not old. | contradiction | (((~wise(fred)<~>~brave(fred)))<=>(?[X]:((~strong(X)<~>~curious(X)))))&
(![X]:((tall(X)|~old(X))<=>~curious(X)))&
(((rich(lucy)&~kind(lucy)))<=>((~kind(paul)|rich(paul))))&
(![X]:((tall(X)&~humble(X))=>(~old(X)|wise(X))))&
(![X]:((generous(X)<~>~wise(X))=>(~brave(X)<~>generous(X))))&
(![X]:(old(X)<=>(~wise(X)<~>wise(X)... | ~old(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4914751558097899698360350
% SZS output start Proof for 4914751558097899698360350
6. ! [X0] : (old(X0) <=> (~wise(X0) <~> wise(X0))) [input p5]
23. ~old(fred) [input hypothesis]
44. ! [X0] : ((old(X0) | ((~wise(X0) | ~wise(X0)) & (wise(X0) | wise(X0)))) & (((~wise(X0) | wise(X0)) & (wise(X... | 0 |
Everyone who is humble is not generous or not humble and vice versa. Everyone who is either not wise or old is not funny or not rich. If mary is both not curious and funny then susan is not generous and vice versa. Everyone who is both not happy and old is both not generous and not curious and vice versa. Everyone who ... | Lucy is old. | entailment | (![X]:(humble(X)<=>(~generous(X)|~humble(X))))&
(![X]:((~wise(X)<~>old(X))=>(~funny(X)|~rich(X))))&
(((~curious(mary)&funny(mary)))<=>(~generous(susan)))&
(![X]:((~happy(X)&old(X))<=>(~generous(X)&~curious(X))))&
(![X]:((kind(X)<~>~humble(X))=>(~old(X)&humble(X))))&
(![X]:((brave(X)<~>happy(X))<=>(~old(X)|funny(X))))&
... | old(lucy) | [
"p0",
"p2",
"p3",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 926139908782752630426791
% SZS output start Proof for 926139908782752630426791
1. ! [X0] : (humble(X0) <=> (~humble(X0) | ~generous(X0))) [input p0]
3. (funny(mary) & ~curious(mary)) <=> ~generous(susan) [input p2]
4. ! [X0] : ((old(X0) & ~happy(X0)) <=> (~curious(X0) & ~generous(X0))) [i... | 0 |
Everyone who is happy is funny or humble and vice versa.
Everyone who is both wise and not strong is both funny and not rich.
Everyone who is strong is both old and not funny.
Everyone who is humble is not brave or old.
If someone is both curious and not quiet then paul is either kind or not curious.
If lucy is quiet o... | Alice is not wise. | neutral | (![X]:(happy(X)<=>(funny(X)|humble(X))))&
(![X]:((wise(X)&~strong(X))=>(funny(X)&~rich(X))))&
(![X]:(strong(X)=>(old(X)&~funny(X))))&
(![X]:(humble(X)=>(~brave(X)|old(X))))&
((?[X]:((curious(X)&~quiet(X))))=>((kind(paul)<~>~curious(paul))))&
(((quiet(lucy)|~rich(lucy)))<=>((creative(paul)|~calm(paul))))&
(![X]:((genero... | ~wise(alice) | [] | null | 0 |
Everyone who is not rich or not old is either not wise or not patient.
Everyone who is either not kind or creative is not strong and vice versa.
If mary is generous then susan is not calm and vice versa.
Everyone who is not generous is not curious and vice versa.
Everyone who is both not creative and not curious is not... | John is wise. | contradiction | (![X]:((~rich(X)|~old(X))=>(~wise(X)<~>~patient(X))))&
(![X]:((~kind(X)<~>creative(X))<=>~strong(X)))&
((generous(mary))<=>(~calm(susan)))&
(![X]:(~generous(X)<=>~curious(X)))&
(![X]:((~creative(X)&~curious(X))<=>(~kind(X)|~patient(X))))&
((?[X]:((~tall(X)&~happy(X))))=>(strong(susan)))&
(((generous(john)&kind(john)))=... | wise(john) | [
"p0",
"p1",
"p4",
"p8",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1862938495171396227675175
% SZS output start Proof for 1862938495171396227675175
1. ! [X0] : ((~old(X0) | ~rich(X0)) => (~wise(X0) <~> ~patient(X0))) [input p0]
2. ! [X0] : ((~kind(X0) <~> creative(X0)) <=> ~strong(X0)) [input p1]
5. ! [X0] : ((~curious(X0) & ~creative(X0)) <=> (~patient(... | 0 |
Everyone who is calm is both kind and calm.
Everyone who is both not rich and rich is old or tall.
Everyone who is not funny is both curious and not patient and vice versa.
Everyone who is not humble or patient is wise and vice versa.
Everyone who is not kind is both wise and patient and vice versa.
Everyone who is not... | Fred is curious. | entailment | (![X]:(calm(X)=>(kind(X)&calm(X))))&
(![X]:((~rich(X)&rich(X))=>(old(X)|tall(X))))&
(![X]:(~funny(X)<=>(curious(X)&~patient(X))))&
(![X]:((~humble(X)|patient(X))<=>wise(X)))&
(![X]:(~kind(X)<=>(wise(X)&patient(X))))&
(![X]:(~funny(X)<=>(~brave(X)<~>brave(X))))&
((?[X]:((kind(X)&wise(X))))=>((~humble(fred)&~wise(fred)))... | curious(fred) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8514319278640000033204872
% SZS output start Proof for 8514319278640000033204872
3. ! [X0] : (~funny(X0) <=> (~patient(X0) & curious(X0))) [input p2]
6. ! [X0] : (~funny(X0) <=> (~brave(X0) <~> brave(X0))) [input p5]
20. ~curious(fred) [input hypothesis]
28. ! [X0] : ((~funny(X0) | (patie... | 0 |
Everyone who is either happy or not brave is either not strong or not quiet.
If alice is either tall or quiet then someone is either not generous or old.
Everyone who is either not wise or funny is either creative or not creative and vice versa.
If lucy is not calm then mary is not humble or kind and vice versa.
If mar... | Paul is not patient. | entailment | (![X]:((happy(X)<~>~brave(X))=>(~strong(X)<~>~quiet(X))))&
(((tall(alice)<~>quiet(alice)))=>(?[X]:((~generous(X)<~>old(X)))))&
(![X]:((~wise(X)<~>funny(X))<=>(creative(X)<~>~creative(X))))&
((~calm(lucy))<=>((~humble(mary)|kind(mary))))&
((~curious(mary))=>(?[X]:(creative(X))))&
(![X]:((happy(X)&~funny(X))<=>happy(X)))... | ~patient(paul) | [
"p2",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9093855174153679888638051
% SZS output start Proof for 9093855174153679888638051
3. ! [X0] : ((~wise(X0) <~> funny(X0)) <=> (creative(X0) <~> ~creative(X0))) [input p2]
16. ! [X0] : (~patient(X0) <=> funny(X0)) [input p15]
18. wise(paul) & rich(paul) [input p17]
25. patient(paul) [input h... | 0 |
Everyone who is not strong is both not tall and generous. Everyone who is not kind is not generous or strong and vice versa. Everyone who is both not calm and not creative is not humble and vice versa. Everyone who is wise or not tall is not funny and vice versa. Everyone who is not patient is tall or creative and vice... | John is not humble. | entailment | (![X]:(~strong(X)=>(~tall(X)&generous(X))))&
(![X]:(~kind(X)<=>(~generous(X)|strong(X))))&
(![X]:((~calm(X)&~creative(X))<=>~humble(X)))&
(![X]:((wise(X)|~tall(X))<=>~funny(X)))&
(![X]:(~patient(X)<=>(tall(X)|creative(X))))&
(![X]:(~quiet(X)<=>(~old(X)|curious(X))))&
((?[X]:((funny(X)<~>creative(X))))=>((generous(mary)... | ~humble(john) | [
"p1",
"p2",
"p12",
"p13",
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 506004559554695739255722
% SZS output start Proof for 506004559554695739255722
2. ! [X0] : (~kind(X0) <=> (strong(X0) | ~generous(X0))) [input p1]
3. ! [X0] : ((~creative(X0) & ~calm(X0)) <=> ~humble(X0)) [input p2]
13. ? [X0] : brave(X0) => (kind(mary) & strong(mary)) [input p12]
14. (ca... | 0 |
If alice is either not old or curious then someone is wise and vice versa.
If someone is patient or not tall then someone is either not strong or not kind and vice versa.
Everyone who is not generous or not humble is not kind or not creative.
Everyone who is creative or not curious is both patient and not old.
If alice... | Mary is old. | contradiction | (((~old(alice)<~>curious(alice)))<=>(?[X]:(wise(X))))&
((?[X]:((patient(X)|~tall(X))))<=>(?[X]:((~strong(X)<~>~kind(X)))))&
(![X]:((~generous(X)|~humble(X))=>(~kind(X)|~creative(X))))&
(![X]:((creative(X)|~curious(X))=>(patient(X)&~old(X))))&
((~calm(alice))=>(calm(mary)))&
(![X]:((old(X)|~humble(X))<=>~curious(X)))&
(... | old(mary) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3964495815114674593649824
% SZS output start Proof for 3964495815114674593649824
4. ! [X0] : ((~curious(X0) | creative(X0)) => (~old(X0) & patient(X0))) [input p3]
6. ! [X0] : ((~humble(X0) | old(X0)) <=> ~curious(X0)) [input p5]
21. old(mary) [input hypothesis]
26. ! [X0] : ((~old(X0) & ... | 0 |
Everyone who is either not humble or not rich is either not rich or not strong and vice versa. Everyone who is not rich is not calm or strong and vice versa. If someone is not old or strong then someone is either kind or not quiet. Everyone who is creative is not tall. Everyone who is both not calm and not kind is crea... | Lucy is not humble. | neutral | (![X]:((~humble(X)<~>~rich(X))<=>(~rich(X)<~>~strong(X))))&
(![X]:(~rich(X)<=>(~calm(X)|strong(X))))&
((?[X]:((~old(X)|strong(X))))=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:(creative(X)=>~tall(X)))&
(![X]:((~calm(X)&~kind(X))<=>creative(X)))&
(![X]:((creative(X)<~>calm(X))<=>(kind(X)<~>~humble(X))))&
((?[X]:((humble(X)<... | ~humble(lucy) | [] | null | 0 |
Everyone who is not generous is both not brave and not happy and vice versa. If john is either strong or humble then fred is both not calm and happy and vice versa. If someone is either not curious or rich then someone is not patient or wise and vice versa. Everyone who is either not strong or not creative is either ol... | Alice is strong. | entailment | (![X]:(~generous(X)<=>(~brave(X)&~happy(X))))&
(((strong(john)<~>humble(john)))<=>((~calm(fred)&happy(fred))))&
((?[X]:((~curious(X)<~>rich(X))))<=>(?[X]:((~patient(X)|wise(X)))))&
(![X]:((~strong(X)<~>~creative(X))=>(old(X)<~>~strong(X))))&
(![X]:((wise(X)&~old(X))<=>(~old(X)&happy(X))))&
(![X]:(creative(X)<=>(~tall(X... | strong(alice) | [
"p3",
"p5",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4437113462570413393231469
% SZS output start Proof for 4437113462570413393231469
4. ! [X0] : ((~strong(X0) <~> ~creative(X0)) => (old(X0) <~> ~strong(X0))) [input p3]
6. ! [X0] : (creative(X0) <=> (generous(X0) | ~tall(X0))) [input p5]
7. ! [X0] : (~old(X0) => (quiet(X0) & ~patient(X0))) ... | 0 |
Everyone who is both not calm and quiet is either funny or old. Everyone who is either not curious or not patient is both quiet and humble. Everyone who is both not patient and not happy is both curious and tall. If paul is rich then someone is both not rich and not curious. Everyone who is both tall and calm is genero... | Alice is kind. | entailment | (![X]:((~calm(X)&quiet(X))=>(funny(X)<~>old(X))))&
(![X]:((~curious(X)<~>~patient(X))=>(quiet(X)&humble(X))))&
(![X]:((~patient(X)&~happy(X))=>(curious(X)&tall(X))))&
((rich(paul))=>(?[X]:((~rich(X)&~curious(X)))))&
(![X]:((tall(X)&calm(X))<=>generous(X)))&
(![X]:((brave(X)<~>~tall(X))=>(~generous(X)|~creative(X))))&
(... | kind(alice) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8854758221993793899333134
% SZS output start Proof for 8854758221993793899333134
11. ! [X0] : ((~quiet(X0) & ~generous(X0)) <=> ~kind(X0)) [input p10]
14. ! [X0] : ((kind(X0) & ~rich(X0)) <=> (~generous(X0) | humble(X0))) [input p13]
25. ~kind(alice) [input hypothesis]
57. ! [X0] : (((~qu... | 0 |
If someone is both generous and not generous then someone is either humble or not wise and vice versa. Everyone who is both not brave and brave is either not brave or calm and vice versa. Everyone who is tall or old is happy or tall. Everyone who is happy or not rich is not quiet or kind. If susan is not calm then john... | Susan is not curious. | neutral | ((?[X]:((generous(X)&~generous(X))))<=>(?[X]:((humble(X)<~>~wise(X)))))&
(![X]:((~brave(X)&brave(X))<=>(~brave(X)<~>calm(X))))&
(![X]:((tall(X)|old(X))=>(happy(X)|tall(X))))&
(![X]:((happy(X)|~rich(X))=>(~quiet(X)|kind(X))))&
((~calm(susan))<=>((creative(john)&~calm(john))))&
(![X]:(~tall(X)=>generous(X)))&
(![X]:((gen... | ~curious(susan) | [] | null | 0 |
Everyone who is either not old or funny is not strong or not calm.
Everyone who is either not humble or generous is not strong or not generous and vice versa.
If paul is either not quiet or humble then someone is either strong or not wise and vice versa.
If paul is both not quiet and wise then someone is not humble or ... | Susan is humble. | contradiction | (![X]:((~old(X)<~>funny(X))=>(~strong(X)|~calm(X))))&
(![X]:((~humble(X)<~>generous(X))<=>(~strong(X)|~generous(X))))&
(((~quiet(paul)<~>humble(paul)))<=>(?[X]:((strong(X)<~>~wise(X)))))&
(((~quiet(paul)&wise(paul)))=>(?[X]:((~humble(X)|kind(X)))))&
(![X]:((funny(X)|old(X))=>calm(X)))&
(![X]:((~wise(X)|happy(X))=>(~wis... | humble(susan) | [
"p4",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8987784953085175092144332
% SZS output start Proof for 8987784953085175092144332
5. ! [X0] : ((old(X0) | funny(X0)) => calm(X0)) [input p4]
7. ! [X0] : (humble(X0) => (kind(X0) & happy(X0))) [input p6]
9. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => (happy(X0) <~> calm(X0))) [input p8]
14. ! [... | 0 |
Everyone who is not rich is either old or wise and vice versa.
If john is kind then lucy is not curious or not tall.
Everyone who is not wise is either not generous or not wise.
Everyone who is calm or funny is not creative and vice versa.
Everyone who is tall or strong is not kind or kind and vice versa.
Everyone who ... | Mary is humble. | neutral | (![X]:(~rich(X)<=>(old(X)<~>wise(X))))&
((kind(john))=>((~curious(lucy)|~tall(lucy))))&
(![X]:(~wise(X)=>(~generous(X)<~>~wise(X))))&
(![X]:((calm(X)|funny(X))<=>~creative(X)))&
(![X]:((tall(X)|strong(X))<=>(~kind(X)|kind(X))))&
(![X]:((~funny(X)&happy(X))=>(quiet(X)<~>strong(X))))&
((?[X]:((wise(X)|~happy(X))))=>(?[X]... | humble(mary) | [] | null | 0 |
Everyone who is either not brave or patient is not patient.
If someone is either generous or not old then someone is not old or calm and vice versa.
If someone is generous or calm then fred is generous.
Everyone who is both wise and not happy is both happy and not brave and vice versa.
If someone is tall then someone i... | Alice is rich. | neutral | (![X]:((~brave(X)<~>patient(X))=>~patient(X)))&
((?[X]:((generous(X)<~>~old(X))))<=>(?[X]:((~old(X)|calm(X)))))&
((?[X]:((generous(X)|calm(X))))=>(generous(fred)))&
(![X]:((wise(X)&~happy(X))<=>(happy(X)&~brave(X))))&
((?[X]:(tall(X)))=>(?[X]:(~generous(X))))&
(![X]:((~rich(X)&kind(X))<=>(~happy(X)<~>~strong(X))))&
(![... | rich(alice) | [] | null | 0 |
If paul is not tall then someone is strong or not funny.
Everyone who is either old or wise is not quiet or patient.
Everyone who is calm or not calm is rich and vice versa.
If paul is not strong or generous then someone is either not funny or not strong.
If paul is not humble or creative then someone is either tall or... | Susan is not rich. | contradiction | ((~tall(paul))=>(?[X]:((strong(X)|~funny(X)))))&
(![X]:((old(X)<~>wise(X))=>(~quiet(X)|patient(X))))&
(![X]:((calm(X)|~calm(X))<=>rich(X)))&
(((~strong(paul)|generous(paul)))=>(?[X]:((~funny(X)<~>~strong(X)))))&
(((~humble(paul)|creative(paul)))<=>(?[X]:((tall(X)<~>brave(X)))))&
((?[X]:((~brave(X)&~tall(X))))=>(?[X]:((... | ~rich(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7155164707238043139962676
% SZS output start Proof for 7155164707238043139962676
3. ! [X0] : ((~calm(X0) | calm(X0)) <=> rich(X0)) [input p2]
24. ~rich(susan) [input hypothesis]
38. ! [X0] : (((~calm(X0) | calm(X0)) | ~rich(X0)) & (rich(X0) | (calm(X0) & ~calm(X0)))) [nnf transformation 3... | 0 |
If lucy is either generous or not old then susan is both rich and not happy and vice versa.
If mary is old then paul is both not humble and not brave.
If someone is humble then susan is not calm and vice versa.
If someone is either not funny or not generous then someone is not calm.
Everyone who is creative or not pati... | Mary is not calm. | contradiction | (((generous(lucy)<~>~old(lucy)))<=>((rich(susan)&~happy(susan))))&
((old(mary))=>((~humble(paul)&~brave(paul))))&
((?[X]:(humble(X)))<=>(~calm(susan)))&
((?[X]:((~funny(X)<~>~generous(X))))=>(?[X]:(~calm(X))))&
(![X]:((creative(X)|~patient(X))<=>(generous(X)&~funny(X))))&
((?[X]:((rich(X)|~tall(X))))<=>((~calm(paul)|~t... | ~calm(mary) | [
"p8",
"p9",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3824241479520510984592605
% SZS output start Proof for 3824241479520510984592605
9. ? [X0] : (humble(X0) | ~brave(X0)) <=> (~kind(mary) & strong(mary)) [input p8]
10. ! [X0] : (calm(X0) <=> (strong(X0) <~> ~patient(X0))) [input p9]
17. brave(mary) & patient(mary) [input p16]
20. ? [X0] : ... | 0 |
Everyone who is both funny and patient is not patient or calm and vice versa. If alice is not quiet or curious then someone is both patient and humble and vice versa. Everyone who is wise or not strong is not kind or not old and vice versa. Everyone who is either not creative or not calm is not calm. Everyone who is ri... | Mary is creative. | neutral | (![X]:((funny(X)&patient(X))<=>(~patient(X)|calm(X))))&
(((~quiet(alice)|curious(alice)))<=>(?[X]:((patient(X)&humble(X)))))&
(![X]:((wise(X)|~strong(X))<=>(~kind(X)|~old(X))))&
(![X]:((~creative(X)<~>~calm(X))=>~calm(X)))&
(![X]:(rich(X)<=>(~wise(X)|happy(X))))&
(![X]:((~strong(X)<~>~wise(X))<=>(~tall(X)&~curious(X)))... | creative(mary) | [] | null | 0 |
If someone is both strong and quiet then susan is creative. Everyone who is both not brave and not calm is rich. If someone is not curious or rich then lucy is both not strong and strong. If someone is not quiet or patient then alice is not patient and vice versa. If fred is both not creative and rich then someone is n... | Lucy is rich. | contradiction | ((?[X]:((strong(X)&quiet(X))))=>(creative(susan)))&
(![X]:((~brave(X)&~calm(X))=>rich(X)))&
((?[X]:((~curious(X)|rich(X))))=>((~strong(lucy)&strong(lucy))))&
((?[X]:((~quiet(X)|patient(X))))<=>(~patient(alice)))&
(((~creative(fred)&rich(fred)))=>(?[X]:(~old(X))))&
((~brave(alice))=>((~brave(john)|~wise(john))))&
(![X]:... | rich(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6378747607415250256149625
% SZS output start Proof for 6378747607415250256149625
3. ? [X0] : (rich(X0) | ~curious(X0)) => (strong(lucy) & ~strong(lucy)) [input p2]
23. rich(lucy) [input hypothesis]
27. (strong(lucy) & ~strong(lucy)) | ! [X0] : (~rich(X0) & curious(X0)) [ennf transformatio... | 0 |
Everyone who is happy is both not old and not calm.
Everyone who is curious is not strong.
If someone is not wise then susan is either not curious or not humble.
Everyone who is not happy or not generous is both not rich and not patient.
Everyone who is creative or not quiet is tall or not brave and vice versa.
Everyon... | Lucy is strong. | neutral | (![X]:(happy(X)=>(~old(X)&~calm(X))))&
(![X]:(curious(X)=>~strong(X)))&
((?[X]:(~wise(X)))=>((~curious(susan)<~>~humble(susan))))&
(![X]:((~happy(X)|~generous(X))=>(~rich(X)&~patient(X))))&
(![X]:((creative(X)|~quiet(X))<=>(tall(X)|~brave(X))))&
(![X]:((funny(X)|patient(X))=>~kind(X)))&
(((brave(lucy)|~patient(lucy)))=... | strong(lucy) | [] | null | 0 |
If fred is either tall or not patient then lucy is either not strong or not creative.
If susan is both not tall and not rich then someone is both curious and generous.
Everyone who is not funny is strong or not wise and vice versa.
Everyone who is old is both patient and not curious and vice versa.
If someone is happy ... | Lucy is wise. | neutral | (((tall(fred)<~>~patient(fred)))=>((~strong(lucy)<~>~creative(lucy))))&
(((~tall(susan)&~rich(susan)))=>(?[X]:((curious(X)&generous(X)))))&
(![X]:(~funny(X)<=>(strong(X)|~wise(X))))&
(![X]:(old(X)<=>(patient(X)&~curious(X))))&
((?[X]:((happy(X)|wise(X))))=>(?[X]:((calm(X)<~>~strong(X)))))&
(![X]:((calm(X)<~>tall(X))=>(... | wise(lucy) | [] | null | 0 |
Everyone who is both not curious and not creative is either rich or not happy and vice versa.
If john is both patient and not quiet then someone is both not funny and not brave and vice versa.
Everyone who is kind or quiet is not quiet or tall.
Everyone who is quiet is both not creative and not calm and vice versa.
If ... | Alice is curious. | neutral | (![X]:((~curious(X)&~creative(X))<=>(rich(X)<~>~happy(X))))&
(((patient(john)&~quiet(john)))<=>(?[X]:((~funny(X)&~brave(X)))))&
(![X]:((kind(X)|quiet(X))=>(~quiet(X)|tall(X))))&
(![X]:(quiet(X)<=>(~creative(X)&~calm(X))))&
((~kind(alice))<=>((~kind(alice)&calm(alice))))&
(![X]:((~happy(X)&~patient(X))<=>(~kind(X)<~>~hu... | curious(alice) | [] | null | 0 |
Everyone who is either patient or not rich is either not creative or funny and vice versa.
Everyone who is both not funny and not humble is either not creative or not kind.
If fred is either not rich or humble then alice is both quiet and wise and vice versa.
Everyone who is both quiet and not patient is both generous ... | Susan is patient. | entailment | (![X]:((patient(X)<~>~rich(X))<=>(~creative(X)<~>funny(X))))&
(![X]:((~funny(X)&~humble(X))=>(~creative(X)<~>~kind(X))))&
(((~rich(fred)<~>humble(fred)))<=>((quiet(alice)&wise(alice))))&
(![X]:((quiet(X)&~patient(X))=>(generous(X)&~tall(X))))&
((?[X]:((~kind(X)|kind(X))))=>(?[X]:((happy(X)|~wise(X)))))&
(![X]:((creativ... | patient(susan) | [
"p0",
"p5",
"p8",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7241508029940111033282499
% SZS output start Proof for 7241508029940111033282499
1. ! [X0] : ((patient(X0) <~> ~rich(X0)) <=> (~creative(X0) <~> funny(X0))) [input p0]
6. ! [X0] : ((old(X0) | creative(X0)) => (happy(X0) & wise(X0))) [input p5]
9. (~creative(susan) | ~funny(susan)) => ~hap... | 0 |
If someone is not tall then susan is generous or kind and vice versa. Everyone who is not patient is either wise or strong and vice versa. Everyone who is calm is both not wise and not funny. Everyone who is both not curious and not rich is rich and vice versa. If someone is not old or not calm then lucy is funny or ha... | Lucy is kind. | entailment | ((?[X]:(~tall(X)))<=>((generous(susan)|kind(susan))))&
(![X]:(~patient(X)<=>(wise(X)<~>strong(X))))&
(![X]:(calm(X)=>(~wise(X)&~funny(X))))&
(![X]:((~curious(X)&~rich(X))<=>rich(X)))&
((?[X]:((~old(X)|~calm(X))))<=>((funny(lucy)|happy(lucy))))&
(((~creative(mary)<~>~funny(mary)))=>((strong(alice)&~quiet(alice))))&
((?[... | kind(lucy) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 44244466030625587296784
% SZS output start Proof for 44244466030625587296784
4. ! [X0] : ((~rich(X0) & ~curious(X0)) <=> rich(X0)) [input p3]
8. ! [X0] : (~kind(X0) => ~curious(X0)) [input p7]
25. ~kind(lucy) [input hypothesis]
31. ! [X0] : (~curious(X0) | kind(X0)) [ennf transformation 8... | 0 |
If someone is both calm and humble then someone is curious.
If someone is patient then fred is humble.
Everyone who is both patient and tall is both not strong and not generous.
Everyone who is both not strong and not kind is humble and vice versa.
Everyone who is either tall or creative is funny.
If someone is either ... | Paul is strong. | contradiction | ((?[X]:((calm(X)&humble(X))))=>(?[X]:(curious(X))))&
((?[X]:(patient(X)))=>(humble(fred)))&
(![X]:((patient(X)&tall(X))=>(~strong(X)&~generous(X))))&
(![X]:((~strong(X)&~kind(X))<=>humble(X)))&
(![X]:((tall(X)<~>creative(X))=>funny(X)))&
((?[X]:((patient(X)<~>generous(X))))<=>((~curious(mary)|~kind(mary))))&
((?[X]:(ca... | strong(paul) | [
"p6",
"p7",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8120703646254328224604604
% SZS output start Proof for 8120703646254328224604604
7. ? [X0] : calm(X0) <=> (brave(paul) | ~strong(paul)) [input p6]
8. ! [X0] : (~curious(X0) <=> (curious(X0) | ~brave(X0))) [input p7]
14. ! [X0] : (happy(X0) => (~wise(X0) & calm(X0))) [input p13]
15. ! [X0]... | 0 |
If someone is kind or tall then paul is either strong or not generous and vice versa.
Everyone who is curious or patient is both not kind and not happy.
If mary is not wise then someone is both quiet and not patient and vice versa.
Everyone who is not generous is not patient and vice versa.
Everyone who is tall or not ... | Paul is generous. | contradiction | ((?[X]:((kind(X)|tall(X))))<=>((strong(paul)<~>~generous(paul))))&
(![X]:((curious(X)|patient(X))=>(~kind(X)&~happy(X))))&
((~wise(mary))<=>(?[X]:((quiet(X)&~patient(X)))))&
(![X]:(~generous(X)<=>~patient(X)))&
(![X]:((tall(X)|~curious(X))=>(strong(X)&~strong(X))))&
(![X]:(old(X)<=>(~kind(X)&~calm(X))))&
(![X]:(patient... | generous(paul) | [
"p0",
"p1",
"p3",
"p4",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8375408355128444464306615
% SZS output start Proof for 8375408355128444464306615
1. ? [X0] : (tall(X0) | kind(X0)) <=> (strong(paul) <~> ~generous(paul)) [input p0]
2. ! [X0] : ((patient(X0) | curious(X0)) => (~happy(X0) & ~kind(X0))) [input p1]
4. ! [X0] : (~generous(X0) <=> ~patient(X0)... | 0 |
Everyone who is tall or old is both not creative and humble.
Everyone who is either not calm or not rich is calm or not patient and vice versa.
Everyone who is not calm or humble is both not calm and not kind.
If lucy is either not old or not kind then someone is old and vice versa.
If someone is not wise or not kind t... | Susan is not old. | entailment | (![X]:((tall(X)|old(X))=>(~creative(X)&humble(X))))&
(![X]:((~calm(X)<~>~rich(X))<=>(calm(X)|~patient(X))))&
(![X]:((~calm(X)|humble(X))=>(~calm(X)&~kind(X))))&
(((~old(lucy)<~>~kind(lucy)))<=>(?[X]:(old(X))))&
((?[X]:((~wise(X)|~kind(X))))=>((calm(susan)&generous(susan))))&
((?[X]:((happy(X)&wise(X))))<=>(?[X]:(~creat... | ~old(susan) | [
"p0",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5868031199482678720355554
% SZS output start Proof for 5868031199482678720355554
1. ! [X0] : ((old(X0) | tall(X0)) => (humble(X0) & ~creative(X0))) [input p0]
3. ! [X0] : ((humble(X0) | ~calm(X0)) => (~kind(X0) & ~calm(X0))) [input p2]
5. ? [X0] : (~kind(X0) | ~wise(X0)) => (generous(susa... | 0 |
Everyone who is both not wise and quiet is not funny and vice versa. Everyone who is generous or calm is both funny and not old. If susan is either wise or kind then john is either not strong or quiet. If mary is both not generous and not calm then lucy is not old or not strong. Everyone who is wise is either not stron... | Mary is not quiet. | neutral | (![X]:((~wise(X)&quiet(X))<=>~funny(X)))&
(![X]:((generous(X)|calm(X))=>(funny(X)&~old(X))))&
(((wise(susan)<~>kind(susan)))=>((~strong(john)<~>quiet(john))))&
(((~generous(mary)&~calm(mary)))=>((~old(lucy)|~strong(lucy))))&
(![X]:(wise(X)=>(~strong(X)<~>curious(X))))&
((?[X]:((old(X)<~>~old(X))))<=>(?[X]:((~curious(X)... | ~quiet(mary) | [] | null | 0 |
Everyone who is either wise or creative is either not old or creative. Everyone who is happy or not happy is both wise and not rich. Everyone who is not quiet is both wise and patient. Everyone who is either not generous or not funny is curious and vice versa. If someone is curious then fred is strong. Everyone who is ... | Paul is not creative. | neutral | (![X]:((wise(X)<~>creative(X))=>(~old(X)<~>creative(X))))&
(![X]:((happy(X)|~happy(X))=>(wise(X)&~rich(X))))&
(![X]:(~quiet(X)=>(wise(X)&patient(X))))&
(![X]:((~generous(X)<~>~funny(X))<=>curious(X)))&
((?[X]:(curious(X)))=>(strong(fred)))&
(![X]:((curious(X)|creative(X))=>(~creative(X)|funny(X))))&
(![X]:((strong(X)&~... | ~creative(paul) | [] | null | 0 |
Everyone who is old or not curious is not curious.
Everyone who is either calm or generous is tall.
Everyone who is not brave is both kind and not strong and vice versa.
Everyone who is either quiet or not calm is not creative.
If paul is both generous and creative then someone is not funny or happy and vice versa.
Eve... | Mary is not calm. | neutral | (![X]:((old(X)|~curious(X))=>~curious(X)))&
(![X]:((calm(X)<~>generous(X))=>tall(X)))&
(![X]:(~brave(X)<=>(kind(X)&~strong(X))))&
(![X]:((quiet(X)<~>~calm(X))=>~creative(X)))&
(((generous(paul)&creative(paul)))<=>(?[X]:((~funny(X)|happy(X)))))&
(![X]:((patient(X)|~wise(X))=>~curious(X)))&
((?[X]:((old(X)<~>~wise(X))))<... | ~calm(mary) | [] | null | 0 |
Everyone who is not tall is either not patient or brave and vice versa.
Everyone who is either old or not rich is creative or not wise.
If someone is either not kind or curious then susan is wise and vice versa.
If someone is kind then fred is either not old or rich.
Everyone who is generous or not patient is both funn... | Alice is not rich. | neutral | (![X]:(~tall(X)<=>(~patient(X)<~>brave(X))))&
(![X]:((old(X)<~>~rich(X))=>(creative(X)|~wise(X))))&
((?[X]:((~kind(X)<~>curious(X))))<=>(wise(susan)))&
((?[X]:(kind(X)))=>((~old(fred)<~>rich(fred))))&
(![X]:((generous(X)|~patient(X))=>(funny(X)&happy(X))))&
(![X]:((~funny(X)<~>~generous(X))<=>(calm(X)<~>generous(X))))&... | ~rich(alice) | [] | null | 0 |
Everyone who is either wise or not wise is not happy or not strong and vice versa.
Everyone who is not brave or not rich is either quiet or not curious and vice versa.
If someone is humble then alice is old or not patient and vice versa.
If paul is tall or not rich then fred is both rich and not curious.
If someone is ... | Alice is strong. | entailment | (![X]:((wise(X)<~>~wise(X))<=>(~happy(X)|~strong(X))))&
(![X]:((~brave(X)|~rich(X))<=>(quiet(X)<~>~curious(X))))&
((?[X]:(humble(X)))<=>((old(alice)|~patient(alice))))&
(((tall(paul)|~rich(paul)))=>((rich(fred)&~curious(fred))))&
((?[X]:((~generous(X)|~quiet(X))))=>(?[X]:((~patient(X)|funny(X)))))&
(![X]:(calm(X)<=>(hu... | strong(alice) | [
"p5",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8782481527946502595160635
% SZS output start Proof for 8782481527946502595160635
6. ! [X0] : (calm(X0) <=> (tall(X0) | humble(X0))) [input p5]
13. ! [X0] : ((strong(X0) | tall(X0)) <=> ~calm(X0)) [input p12]
15. ! [X0] : ((~strong(X0) <~> generous(X0)) => (quiet(X0) & tall(X0))) [input p1... | 0 |
Everyone who is not patient is both not rich and not patient.
If someone is both curious and humble then paul is not brave.
If mary is calm or rich then someone is humble or wise.
Everyone who is not calm or tall is both humble and rich and vice versa.
If someone is not creative or not happy then someone is wise.
Every... | Mary is rich. | neutral | (![X]:(~patient(X)=>(~rich(X)&~patient(X))))&
((?[X]:((curious(X)&humble(X))))=>(~brave(paul)))&
(((calm(mary)|rich(mary)))=>(?[X]:((humble(X)|wise(X)))))&
(![X]:((~calm(X)|tall(X))<=>(humble(X)&rich(X))))&
((?[X]:((~creative(X)|~happy(X))))=>(?[X]:(wise(X))))&
(![X]:(~humble(X)=>humble(X)))&
((tall(lucy))<=>(?[X]:((qu... | rich(mary) | [] | null | 0 |
Everyone who is not generous is not humble.
If someone is not strong or not tall then someone is both not old and funny and vice versa.
Everyone who is both generous and not wise is either not strong or not happy and vice versa.
Everyone who is either tall or patient is both humble and wise.
If someone is both happy an... | Mary is calm. | entailment | (![X]:(~generous(X)=>~humble(X)))&
((?[X]:((~strong(X)|~tall(X))))<=>(?[X]:((~old(X)&funny(X)))))&
(![X]:((generous(X)&~wise(X))<=>(~strong(X)<~>~happy(X))))&
(![X]:((tall(X)<~>patient(X))=>(humble(X)&wise(X))))&
((?[X]:((happy(X)&tall(X))))<=>((creative(alice)<~>~funny(alice))))&
(![X]:((~rich(X)<~>patient(X))=>(rich(... | calm(mary) | [
"p0",
"p3",
"p7",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1467683260055403899279914
% SZS output start Proof for 1467683260055403899279914
1. ! [X0] : (~generous(X0) => ~humble(X0)) [input p0]
4. ! [X0] : ((tall(X0) <~> patient(X0)) => (wise(X0) & humble(X0))) [input p3]
8. ! [X0] : ((humble(X0) | ~tall(X0)) <=> patient(X0)) [input p7]
12. ! [X0... | 0 |
Everyone who is both humble and not rich is either not calm or not brave.
If someone is either creative or not old then paul is both wise and not calm.
If someone is patient then someone is not wise and vice versa.
Everyone who is not funny or humble is both not happy and not tall.
Everyone who is not rich or strong is... | Fred is not patient. | entailment | (![X]:((humble(X)&~rich(X))=>(~calm(X)<~>~brave(X))))&
((?[X]:((creative(X)<~>~old(X))))=>((wise(paul)&~calm(paul))))&
((?[X]:(patient(X)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|humble(X))=>(~happy(X)&~tall(X))))&
(![X]:((~rich(X)|strong(X))<=>(curious(X)<~>patient(X))))&
(![X]:((~kind(X)|~creative(X))<=>(humble(X)&~... | ~patient(fred) | [
"p3",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5975569472595027235243726
% SZS output start Proof for 5975569472595027235243726
4. ! [X0] : ((humble(X0) | ~funny(X0)) => (~tall(X0) & ~happy(X0))) [input p3]
12. (generous(fred) & ~funny(fred)) <=> ? [X0] : (~humble(X0) | patient(X0)) [input p11]
13. ! [X0] : ((quiet(X0) & tall(X0)) <=>... | 0 |
If someone is humble then john is either not tall or not brave and vice versa.
Everyone who is either not strong or rich is both not funny and not creative and vice versa.
If someone is not patient or not tall then someone is not wise and vice versa.
If mary is either humble or brave then alice is not strong or not tal... | Alice is not generous. | contradiction | ((?[X]:(humble(X)))<=>((~tall(john)<~>~brave(john))))&
(![X]:((~strong(X)<~>rich(X))<=>(~funny(X)&~creative(X))))&
((?[X]:((~patient(X)|~tall(X))))<=>(?[X]:(~wise(X))))&
(((humble(mary)<~>brave(mary)))<=>((~strong(alice)|~tall(alice))))&
(((~strong(alice)<~>generous(alice)))=>(?[X]:((~old(X)&rich(X)))))&
(![X]:((~gener... | ~generous(alice) | [
"p4",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5567332888577767526186511
% SZS output start Proof for 5567332888577767526186511
5. (~strong(alice) <~> generous(alice)) => ? [X0] : (rich(X0) & ~old(X0)) [input p4]
7. ! [X0] : ((~strong(X0) | brave(X0)) <=> (~patient(X0) & old(X0))) [input p6]
10. ! [X0] : (strong(X0) <=> (~strong(X0) &... | 0 |
Everyone who is both not brave and not kind is both not tall and not creative. If someone is creative then mary is both not humble and humble. Everyone who is strong or tall is funny and vice versa. If mary is either not creative or not quiet then someone is both creative and not curious. If paul is either not strong o... | Paul is not quiet. | entailment | (![X]:((~brave(X)&~kind(X))=>(~tall(X)&~creative(X))))&
((?[X]:(creative(X)))=>((~humble(mary)&humble(mary))))&
(![X]:((strong(X)|tall(X))<=>funny(X)))&
(((~creative(mary)<~>~quiet(mary)))=>(?[X]:((creative(X)&~curious(X)))))&
(((~strong(paul)<~>brave(paul)))=>(?[X]:((~tall(X)|happy(X)))))&
(((~brave(lucy)<~>patient(lu... | ~quiet(paul) | [
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8351256947925133875689304
% SZS output start Proof for 8351256947925133875689304
7. ! [X0] : ((curious(X0) <~> calm(X0)) <=> (curious(X0) & funny(X0))) [input p6]
10. ! [X0] : ((~tall(X0) & ~quiet(X0)) <=> (old(X0) | strong(X0))) [input p9]
15. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> (st... | 0 |
Everyone who is not happy is not generous and vice versa.
Everyone who is not tall or not calm is both old and not strong and vice versa.
Everyone who is not creative is both humble and old.
If mary is not strong or not humble then john is either not strong or calm.
If alice is either calm or tall then paul is curious ... | John is curious. | contradiction | (![X]:(~happy(X)<=>~generous(X)))&
(![X]:((~tall(X)|~calm(X))<=>(old(X)&~strong(X))))&
(![X]:(~creative(X)=>(humble(X)&old(X))))&
(((~strong(mary)|~humble(mary)))=>((~strong(john)<~>calm(john))))&
(((calm(alice)<~>tall(alice)))<=>(curious(paul)))&
(![X]:((~quiet(X)<~>~rich(X))=>(curious(X)&~brave(X))))&
((?[X]:((~old(X... | curious(john) | [
"p2",
"p9",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8225291924816633564435298
% SZS output start Proof for 8225291924816633564435298
3. ! [X0] : (~creative(X0) => (old(X0) & humble(X0))) [input p2]
10. ! [X0] : ((curious(X0) & old(X0)) <=> (old(X0) & ~wise(X0))) [input p9]
14. ! [X0] : (~wise(X0) <=> (wise(X0) & strong(X0))) [input p13]
15... | 0 |
If someone is both old and funny then alice is both strong and not curious.
If lucy is both not calm and not patient then someone is both creative and not old and vice versa.
Everyone who is kind or tall is both not tall and old and vice versa.
Everyone who is quiet is both calm and not funny.
If john is either calm or... | Lucy is not patient. | entailment | ((?[X]:((old(X)&funny(X))))=>((strong(alice)&~curious(alice))))&
(((~calm(lucy)&~patient(lucy)))<=>(?[X]:((creative(X)&~old(X)))))&
(![X]:((kind(X)|tall(X))<=>(~tall(X)&old(X))))&
(![X]:(quiet(X)=>(calm(X)&~funny(X))))&
(((calm(john)<~>~happy(john)))=>(?[X]:((humble(X)&creative(X)))))&
(![X]:(~happy(X)<=>(~old(X)<~>fun... | ~patient(lucy) | [
"p0",
"p1",
"p2",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5548811867003084268623257
% SZS output start Proof for 5548811867003084268623257
1. ? [X0] : (funny(X0) & old(X0)) => (~curious(alice) & strong(alice)) [input p0]
2. (~patient(lucy) & ~calm(lucy)) <=> ? [X0] : (~old(X0) & creative(X0)) [input p1]
3. ! [X0] : ((tall(X0) | kind(X0)) <=> (ol... | 0 |
If paul is both generous and not wise then someone is either creative or patient and vice versa.
If fred is both not generous and creative then lucy is both not calm and old and vice versa.
Everyone who is not curious or not brave is patient.
Everyone who is quiet or happy is not curious.
If lucy is both not brave and ... | Lucy is strong. | entailment | (((generous(paul)&~wise(paul)))<=>(?[X]:((creative(X)<~>patient(X)))))&
(((~generous(fred)&creative(fred)))<=>((~calm(lucy)&old(lucy))))&
(![X]:((~curious(X)|~brave(X))=>patient(X)))&
(![X]:((quiet(X)|happy(X))=>~curious(X)))&
(((~brave(lucy)&calm(lucy)))=>((~patient(mary)<~>~quiet(mary))))&
((?[X]:((curious(X)<~>~stro... | strong(lucy) | [
"p2",
"p3",
"p7",
"p8",
"p9",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1138648541890389130973314
% SZS output start Proof for 1138648541890389130973314
3. ! [X0] : ((~brave(X0) | ~curious(X0)) => patient(X0)) [input p2]
4. ! [X0] : ((happy(X0) | quiet(X0)) => ~curious(X0)) [input p3]
8. ! [X0] : ((~old(X0) & ~quiet(X0)) <=> (wise(X0) & generous(X0))) [input ... | 0 |
Everyone who is either old or strong is patient or not generous.
Everyone who is both humble and wise is either not funny or not calm.
Everyone who is not kind or old is either not calm or patient.
If someone is either not strong or wise then someone is rich and vice versa.
Everyone who is quiet is calm or not humble a... | Fred is not quiet. | contradiction | (![X]:((old(X)<~>strong(X))=>(patient(X)|~generous(X))))&
(![X]:((humble(X)&wise(X))=>(~funny(X)<~>~calm(X))))&
(![X]:((~kind(X)|old(X))=>(~calm(X)<~>patient(X))))&
((?[X]:((~strong(X)<~>wise(X))))<=>(?[X]:(rich(X))))&
(![X]:(quiet(X)<=>(calm(X)|~humble(X))))&
(![X]:(~funny(X)<=>(~brave(X)|~old(X))))&
(![X]:((~brave(X)... | ~quiet(fred) | [
"p4",
"p6",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2275491198768069337679377
% SZS output start Proof for 2275491198768069337679377
5. ! [X0] : (quiet(X0) <=> (~humble(X0) | calm(X0))) [input p4]
7. ! [X0] : ((~brave(X0) <~> brave(X0)) <=> ~wise(X0)) [input p6]
8. humble(fred) <=> ? [X0] : (old(X0) & strong(X0)) [input p7]
16. ! [X0] : (~... | 0 |
If paul is either not humble or generous then someone is both patient and tall. If lucy is creative then someone is either not patient or creative and vice versa. Everyone who is not brave is not calm. If susan is not quiet then alice is not tall or quiet and vice versa. If susan is generous or patient then mary is bot... | Paul is not humble. | entailment | (((~humble(paul)<~>generous(paul)))=>(?[X]:((patient(X)&tall(X)))))&
((creative(lucy))<=>(?[X]:((~patient(X)<~>creative(X)))))&
(![X]:(~brave(X)=>~calm(X)))&
((~quiet(susan))<=>((~tall(alice)|quiet(alice))))&
(((generous(susan)|patient(susan)))=>((wise(mary)&old(mary))))&
((?[X]:(~curious(X)))=>((creative(alice)|calm(a... | ~humble(paul) | [
"p6",
"p10",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 15805480955182264810950
% SZS output start Proof for 15805480955182264810950
7. ! [X0] : ((~brave(X0) | ~patient(X0)) <=> ~curious(X0)) [input p6]
11. ? [X0] : (wise(X0) | ~patient(X0)) => (~patient(alice) & brave(alice)) [input p10]
12. ! [X0] : ((humble(X0) <~> ~quiet(X0)) <=> (~brave(X... | 0 |
Everyone who is either not brave or not strong is both quiet and not strong and vice versa.
Everyone who is strong is either not rich or not happy.
Everyone who is strong or not humble is not patient.
Everyone who is strong is not creative or humble and vice versa.
Everyone who is not strong or happy is both funny and ... | John is happy. | neutral | (![X]:((~brave(X)<~>~strong(X))<=>(quiet(X)&~strong(X))))&
(![X]:(strong(X)=>(~rich(X)<~>~happy(X))))&
(![X]:((strong(X)|~humble(X))=>~patient(X)))&
(![X]:(strong(X)<=>(~creative(X)|humble(X))))&
(![X]:((~strong(X)|happy(X))=>(funny(X)&~patient(X))))&
((?[X]:(~quiet(X)))=>(curious(mary)))&
(((~generous(mary)<~>patient(... | happy(john) | [] | null | 0 |
If mary is not generous then paul is both not rich and wise and vice versa. If susan is both not curious and patient then someone is not strong or funny. Everyone who is either not old or not creative is both wise and tall. Everyone who is either not rich or not happy is both curious and generous and vice versa. If som... | Susan is not rich. | neutral | ((~generous(mary))<=>((~rich(paul)&wise(paul))))&
(((~curious(susan)&patient(susan)))=>(?[X]:((~strong(X)|funny(X)))))&
(![X]:((~old(X)<~>~creative(X))=>(wise(X)&tall(X))))&
(![X]:((~rich(X)<~>~happy(X))<=>(curious(X)&generous(X))))&
((?[X]:((~happy(X)|~kind(X))))<=>((happy(john)|generous(john))))&
((?[X]:((~curious(X)... | ~rich(susan) | [] | null | 0 |
If lucy is either funny or not quiet then alice is quiet or not curious.
If john is not generous then paul is both strong and not humble and vice versa.
If fred is not happy or generous then john is either old or not rich.
If someone is not happy then susan is both calm and quiet and vice versa.
Everyone who is both no... | Paul is kind. | contradiction | (((funny(lucy)<~>~quiet(lucy)))=>((quiet(alice)|~curious(alice))))&
((~generous(john))<=>((strong(paul)&~humble(paul))))&
(((~happy(fred)|generous(fred)))=>((old(john)<~>~rich(john))))&
((?[X]:(~happy(X)))<=>((calm(susan)&quiet(susan))))&
(![X]:((~humble(X)&kind(X))=>quiet(X)))&
(![X]:((~generous(X)<~>~strong(X))=>(~ha... | kind(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5667001174058021254983178
% SZS output start Proof for 5667001174058021254983178
13. ! [X0] : ((patient(X0) & ~patient(X0)) <=> kind(X0)) [input p12]
24. kind(paul) [input hypothesis]
66. ! [X0] : (((patient(X0) & ~patient(X0)) | ~kind(X0)) & (kind(X0) | (~patient(X0) | patient(X0)))) [nn... | 0 |
Everyone who is not humble or happy is not humble and vice versa.
Everyone who is wise or not kind is tall and vice versa.
Everyone who is kind or not old is both calm and old and vice versa.
Everyone who is both funny and strong is not kind or happy.
Everyone who is not rich is not calm or not curious.
Everyone who is... | John is not calm. | contradiction | (![X]:((~humble(X)|happy(X))<=>~humble(X)))&
(![X]:((wise(X)|~kind(X))<=>tall(X)))&
(![X]:((kind(X)|~old(X))<=>(calm(X)&old(X))))&
(![X]:((funny(X)&strong(X))=>(~kind(X)|happy(X))))&
(![X]:(~rich(X)=>(~calm(X)|~curious(X))))&
(![X]:((calm(X)<~>~old(X))<=>(~quiet(X)&~patient(X))))&
(((quiet(john)<~>humble(john)))<=>(?[X... | ~calm(john) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8055386234590544830523378
% SZS output start Proof for 8055386234590544830523378
3. ! [X0] : ((~old(X0) | kind(X0)) <=> (old(X0) & calm(X0))) [input p2]
11. ! [X0] : ((calm(X0) & rich(X0)) <=> (old(X0) | ~generous(X0))) [input p10]
20. ~calm(john) [input hypothesis]
35. ! [X0] : (((~old(X... | 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... | Lucy is rich. | 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... | rich(lucy) | [
"p0",
"p2",
"p3",
"p8",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9148249926384514221432093
% SZS output start Proof for 9148249926384514221432093
1. ? [X0] : (~rich(X0) | ~wise(X0)) <=> (~wise(lucy) & ~kind(lucy)) [input p0]
3. ! [X0] : ((brave(X0) | ~tall(X0)) => (old(X0) & ~happy(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> curious(X0)) => ~funny(X0)... | 0 |
If someone is both not happy and creative then lucy is both not brave and not funny and vice versa.
Everyone who is not brave is either not rich or wise.
If susan is either not generous or calm then someone is not patient or humble.
If john is both not rich and not creative then someone is not patient.
Everyone who is ... | Paul is happy. | entailment | ((?[X]:((~happy(X)&creative(X))))<=>((~brave(lucy)&~funny(lucy))))&
(![X]:(~brave(X)=>(~rich(X)<~>wise(X))))&
(((~generous(susan)<~>calm(susan)))=>(?[X]:((~patient(X)|humble(X)))))&
(((~rich(john)&~creative(john)))=>(?[X]:(~patient(X))))&
(![X]:((~funny(X)<~>creative(X))<=>(wise(X)|~quiet(X))))&
(![X]:(~strong(X)<=>(ta... | happy(paul) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2242737167233382108359420
% SZS output start Proof for 2242737167233382108359420
1. ? [X0] : (creative(X0) & ~happy(X0)) <=> (~funny(lucy) & ~brave(lucy)) [input p0]
10. ! [X0] : ((quiet(X0) | ~quiet(X0)) <=> (creative(X0) & funny(X0))) [input p9]
24. ~happy(paul) [input hypothesis]
36. (... | 0 |
Everyone who is not tall is old.
Everyone who is either happy or not kind is both happy and calm.
Everyone who is not generous is strong.
If paul is creative then someone is wise or patient and vice versa.
Everyone who is not brave is both not humble and kind.
Everyone who is both not curious and brave is not funny or ... | Mary is tall. | entailment | (![X]:(~tall(X)=>old(X)))&
(![X]:((happy(X)<~>~kind(X))=>(happy(X)&calm(X))))&
(![X]:(~generous(X)=>strong(X)))&
((creative(paul))<=>(?[X]:((wise(X)|patient(X)))))&
(![X]:(~brave(X)=>(~humble(X)&kind(X))))&
(![X]:((~curious(X)&brave(X))<=>(~funny(X)|tall(X))))&
(![X]:((happy(X)|kind(X))=>(~rich(X)|~funny(X))))&
(![X]:(... | tall(mary) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 279242910334211364159728
% SZS output start Proof for 279242910334211364159728
1. ! [X0] : (~tall(X0) => old(X0)) [input p0]
9. ! [X0] : ((wise(X0) | ~wise(X0)) => ~old(X0)) [input p8]
24. ~tall(mary) [input hypothesis]
25. ! [X0] : (old(X0) | tall(X0)) [ennf transformation 1]
33. ! [X0] ... | 0 |
If someone is not curious or creative then someone is not patient.
If mary is curious then john is both not rich and strong and vice versa.
Everyone who is not creative or wise is both kind and curious and vice versa.
If fred is both creative and not funny then someone is not tall or not curious.
Everyone who is strong... | Susan is not happy. | entailment | ((?[X]:((~curious(X)|creative(X))))=>(?[X]:(~patient(X))))&
((curious(mary))<=>((~rich(john)&strong(john))))&
(![X]:((~creative(X)|wise(X))<=>(kind(X)&curious(X))))&
(((creative(fred)&~funny(fred)))=>(?[X]:((~tall(X)|~curious(X)))))&
(![X]:((strong(X)|curious(X))<=>(~old(X)&~patient(X))))&
(![X]:(~curious(X)<=>(~curiou... | ~happy(susan) | [
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3437376978766729177248162
% SZS output start Proof for 3437376978766729177248162
8. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~wise(X0) & ~happy(X0))) [input p7]
14. ! [X0] : (~kind(X0) => generous(X0)) [input p13]
16. ! [X0] : (~kind(X0) <=> (~happy(X0) | happy(X0))) [input p15]
24. hap... | 0 |
Everyone who is not old is either calm or old and vice versa. Everyone who is curious is not brave or curious and vice versa. Everyone who is not curious is either brave or patient. Everyone who is either funny or not tall is curious or patient. If paul is not brave or brave then someone is not funny or not humble. If ... | Paul is not humble. | neutral | (![X]:(~old(X)<=>(calm(X)<~>old(X))))&
(![X]:(curious(X)<=>(~brave(X)|curious(X))))&
(![X]:(~curious(X)=>(brave(X)<~>patient(X))))&
(![X]:((funny(X)<~>~tall(X))=>(curious(X)|patient(X))))&
(((~brave(paul)|brave(paul)))=>(?[X]:((~funny(X)|~humble(X)))))&
((?[X]:(~patient(X)))=>((~old(susan)<~>~kind(susan))))&
((~tall(fr... | ~humble(paul) | [] | null | 0 |
If someone is not curious or patient then someone is both not strong and not rich and vice versa. Everyone who is either not humble or not old is happy or strong. Everyone who is not calm or patient is not kind and vice versa. Everyone who is not calm or generous is wise or funny. If someone is old then alice is patien... | John is generous. | neutral | ((?[X]:((~curious(X)|patient(X))))<=>(?[X]:((~strong(X)&~rich(X)))))&
(![X]:((~humble(X)<~>~old(X))=>(happy(X)|strong(X))))&
(![X]:((~calm(X)|patient(X))<=>~kind(X)))&
(![X]:((~calm(X)|generous(X))=>(wise(X)|funny(X))))&
((?[X]:(old(X)))=>((patient(alice)|~rich(alice))))&
(![X]:((wise(X)&funny(X))<=>(old(X)&~kind(X))))... | generous(john) | [] | null | 0 |
Everyone who is not curious is old and vice versa.
Everyone who is not old is not rich and vice versa.
If someone is not funny or happy then someone is either not happy or humble.
If mary is either not happy or quiet then someone is not wise and vice versa.
Everyone who is kind or not funny is both not calm and not ric... | Alice is tall. | entailment | (![X]:(~curious(X)<=>old(X)))&
(![X]:(~old(X)<=>~rich(X)))&
((?[X]:((~funny(X)|happy(X))))=>(?[X]:((~happy(X)<~>humble(X)))))&
(((~happy(mary)<~>quiet(mary)))<=>(?[X]:(~wise(X))))&
(![X]:((kind(X)|~funny(X))<=>(~calm(X)&~rich(X))))&
(![X]:(~calm(X)=>(old(X)|generous(X))))&
((?[X]:((generous(X)|wise(X))))<=>((old(john)<... | tall(alice) | [
"p0",
"p1",
"p4",
"p8",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1345905787706452510501321
% SZS output start Proof for 1345905787706452510501321
1. ! [X0] : (~curious(X0) <=> old(X0)) [input p0]
2. ! [X0] : (~old(X0) <=> ~rich(X0)) [input p1]
5. ! [X0] : ((~funny(X0) | kind(X0)) <=> (~rich(X0) & ~calm(X0))) [input p4]
9. ! [X0] : ((~old(X0) & ~rich(X0... | 0 |
If someone is calm or old then someone is both wise and not calm.
Everyone who is generous or not tall is either not calm or not humble and vice versa.
Everyone who is either not rich or creative is both brave and creative.
If alice is both not humble and curious then someone is both old and strong and vice versa.
If s... | Alice is creative. | entailment | ((?[X]:((calm(X)|old(X))))=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((generous(X)|~tall(X))<=>(~calm(X)<~>~humble(X))))&
(![X]:((~rich(X)<~>creative(X))=>(brave(X)&creative(X))))&
(((~humble(alice)&curious(alice)))<=>(?[X]:((old(X)&strong(X)))))&
((?[X]:((quiet(X)&~funny(X))))<=>(?[X]:((calm(X)|wise(X)))))&
(![X]:((~strong... | creative(alice) | [
"p1",
"p4",
"p5",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4835994995238048675233745
% SZS output start Proof for 4835994995238048675233745
2. ! [X0] : ((~tall(X0) | generous(X0)) <=> (~calm(X0) <~> ~humble(X0))) [input p1]
5. ? [X0] : (~funny(X0) & quiet(X0)) <=> ? [X0] : (wise(X0) | calm(X0)) [input p4]
6. ! [X0] : ((happy(X0) & ~strong(X0)) =>... | 0 |
Everyone who is brave is old or not humble and vice versa.
If someone is brave or not generous then someone is both not brave and humble.
If someone is either quiet or funny then lucy is both funny and old and vice versa.
If fred is not generous then lucy is both patient and brave and vice versa.
Everyone who is not fu... | Susan is not curious. | contradiction | (![X]:(brave(X)<=>(old(X)|~humble(X))))&
((?[X]:((brave(X)|~generous(X))))=>(?[X]:((~brave(X)&humble(X)))))&
((?[X]:((quiet(X)<~>funny(X))))<=>((funny(lucy)&old(lucy))))&
((~generous(fred))<=>((patient(lucy)&brave(lucy))))&
(![X]:(~funny(X)<=>happy(X)))&
(![X]:(kind(X)<=>~brave(X)))&
(((~tall(alice)&~quiet(alice)))<=>(... | ~curious(susan) | [
"p0",
"p2",
"p4",
"p7",
"p8",
"p10",
"p11",
"p12",
"p13",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7962436156102179518732010
% SZS output start Proof for 7962436156102179518732010
1. ! [X0] : (brave(X0) <=> (~humble(X0) | old(X0))) [input p0]
3. ? [X0] : (quiet(X0) <~> funny(X0)) <=> (old(lucy) & funny(lucy)) [input p2]
5. ! [X0] : (~funny(X0) <=> happy(X0)) [input p4]
8. ! [X0] : (bra... | 0 |
If alice is both not curious and not patient then susan is not happy.
Everyone who is not happy or not funny is either tall or not kind and vice versa.
Everyone who is not humble or generous is both not strong and patient.
If alice is calm or quiet then susan is either calm or tall and vice versa.
If someone is not cre... | Lucy is not kind. | contradiction | (((~curious(alice)&~patient(alice)))=>(~happy(susan)))&
(![X]:((~happy(X)|~funny(X))<=>(tall(X)<~>~kind(X))))&
(![X]:((~humble(X)|generous(X))=>(~strong(X)&patient(X))))&
(((calm(alice)|quiet(alice)))<=>((calm(susan)<~>tall(susan))))&
((?[X]:(~creative(X)))=>(rich(lucy)))&
((?[X]:(quiet(X)))=>(tall(mary)))&
((?[X]:((ca... | ~kind(lucy) | [
"p2",
"p4",
"p6",
"p7",
"p9",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6251527363084710860251893
% SZS output start Proof for 6251527363084710860251893
3. ! [X0] : ((generous(X0) | ~humble(X0)) => (patient(X0) & ~strong(X0))) [input p2]
5. ? [X0] : ~creative(X0) => rich(lucy) [input p4]
7. ? [X0] : (~brave(X0) | calm(X0)) => (~patient(john) & patient(john)) ... | 0 |
Everyone who is either not wise or not strong is not patient and vice versa.
Everyone who is both funny and not tall is both not old and not quiet and vice versa.
Everyone who is either not old or tall is not quiet and vice versa.
If paul is happy or not humble then someone is either kind or not patient and vice versa.... | Paul is not calm. | neutral | (![X]:((~wise(X)<~>~strong(X))<=>~patient(X)))&
(![X]:((funny(X)&~tall(X))<=>(~old(X)&~quiet(X))))&
(![X]:((~old(X)<~>tall(X))<=>~quiet(X)))&
(((happy(paul)|~humble(paul)))<=>(?[X]:((kind(X)<~>~patient(X)))))&
(![X]:((kind(X)&~creative(X))=>(funny(X)&strong(X))))&
(![X]:((tall(X)&quiet(X))<=>(~old(X)&~funny(X))))&
(![X... | ~calm(paul) | [] | null | 0 |
If someone is either strong or not curious then alice is generous or not old. If someone is both calm and not old then someone is not curious and vice versa. If someone is both not kind and curious then someone is happy. If someone is both not wise and not funny then someone is either generous or not curious. If someon... | Fred is generous. | neutral | ((?[X]:((strong(X)<~>~curious(X))))=>((generous(alice)|~old(alice))))&
((?[X]:((calm(X)&~old(X))))<=>(?[X]:(~curious(X))))&
((?[X]:((~kind(X)&curious(X))))=>(?[X]:(happy(X))))&
((?[X]:((~wise(X)&~funny(X))))=>(?[X]:((generous(X)<~>~curious(X)))))&
((?[X]:((humble(X)|patient(X))))<=>((curious(lucy)&strong(lucy))))&
((?[... | generous(fred) | [] | null | 0 |
Everyone who is either brave or not brave is not funny or not humble.
Everyone who is not old is strong and vice versa.
If paul is either not quiet or not creative then someone is funny or not tall and vice versa.
Everyone who is not creative is not curious.
If fred is humble then someone is not funny or not kind and v... | Fred is curious. | contradiction | (![X]:((brave(X)<~>~brave(X))=>(~funny(X)|~humble(X))))&
(![X]:(~old(X)<=>strong(X)))&
(((~quiet(paul)<~>~creative(paul)))<=>(?[X]:((funny(X)|~tall(X)))))&
(![X]:(~creative(X)=>~curious(X)))&
((humble(fred))<=>(?[X]:((~funny(X)|~kind(X)))))&
((?[X]:((~old(X)|calm(X))))=>((quiet(fred)&~happy(fred))))&
(![X]:((~strong(X)... | curious(fred) | [
"p1",
"p3",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9100881075332528705729666
% SZS output start Proof for 9100881075332528705729666
2. ! [X0] : (~old(X0) <=> strong(X0)) [input p1]
4. ! [X0] : (~creative(X0) => ~curious(X0)) [input p3]
6. ? [X0] : (calm(X0) | ~old(X0)) => (~happy(fred) & quiet(fred)) [input p5]
10. (~tall(lucy) <~> tall(l... | 0 |
Everyone who is both tall and not humble is not funny or kind and vice versa. If john is both not generous and creative then someone is either not humble or quiet. Everyone who is either funny or not brave is both not strong and old and vice versa. Everyone who is not quiet or humble is either curious or not creative. ... | Lucy is curious. | contradiction | (![X]:((tall(X)&~humble(X))<=>(~funny(X)|kind(X))))&
(((~generous(john)&creative(john)))=>(?[X]:((~humble(X)<~>quiet(X)))))&
(![X]:((funny(X)<~>~brave(X))<=>(~strong(X)&old(X))))&
(![X]:((~quiet(X)|humble(X))=>(curious(X)<~>~creative(X))))&
((?[X]:((rich(X)<~>generous(X))))=>(?[X]:((~humble(X)&~generous(X)))))&
(![X]:(... | curious(lucy) | [
"p8",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3721405495445875114254382
% SZS output start Proof for 3721405495445875114254382
9. ! [X0] : (~strong(X0) => (~quiet(X0) & strong(X0))) [input p8]
15. ! [X0] : (~strong(X0) <=> ~tall(X0)) [input p14]
20. ~curious(lucy) | ~tall(lucy) [input p19]
24. curious(lucy) [input hypothesis]
32. ! [... | 0 |
If susan is either strong or wise then someone is not brave. If susan is not happy or not wise then lucy is either kind or not old. If someone is curious then someone is both happy and not happy. Everyone who is old is humble and vice versa. If someone is not strong or strong then someone is either not generous or not ... | John is quiet. | contradiction | (((strong(susan)<~>wise(susan)))=>(?[X]:(~brave(X))))&
(((~happy(susan)|~wise(susan)))=>((kind(lucy)<~>~old(lucy))))&
((?[X]:(curious(X)))=>(?[X]:((happy(X)&~happy(X)))))&
(![X]:(old(X)<=>humble(X)))&
((?[X]:((~strong(X)|strong(X))))=>(?[X]:((~generous(X)<~>~humble(X)))))&
(![X]:((humble(X)<~>happy(X))<=>(~tall(X)&brav... | quiet(john) | [
"p5",
"p6",
"p7",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8003361400625184169555178
% SZS output start Proof for 8003361400625184169555178
6. ! [X0] : ((humble(X0) <~> happy(X0)) <=> (brave(X0) & ~tall(X0))) [input p5]
7. ! [X0] : (~tall(X0) <=> ~humble(X0)) [input p6]
8. ! [X0] : ((quiet(X0) | creative(X0)) => (generous(X0) & ~wise(X0))) [input... | 0 |
Everyone who is both not curious and kind is both curious and quiet and vice versa. Everyone who is either quiet or calm is both brave and kind and vice versa. Everyone who is both tall and old is funny or generous and vice versa. If someone is either not patient or creative then someone is not calm. If someone is eith... | Paul is calm. | contradiction | (![X]:((~curious(X)&kind(X))<=>(curious(X)&quiet(X))))&
(![X]:((quiet(X)<~>calm(X))<=>(brave(X)&kind(X))))&
(![X]:((tall(X)&old(X))<=>(funny(X)|generous(X))))&
((?[X]:((~patient(X)<~>creative(X))))=>(?[X]:(~calm(X))))&
((?[X]:((curious(X)<~>~kind(X))))=>(?[X]:((~old(X)&generous(X)))))&
(![X]:((~generous(X)|generous(X))... | calm(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 218018580761881122162031
% SZS output start Proof for 218018580761881122162031
6. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (rich(X0) & ~calm(X0))) [input p5]
23. calm(paul) [input hypothesis]
54. ! [X0] : (((generous(X0) | ~generous(X0)) | (~rich(X0) | calm(X0))) & ((rich(X0) & ~calm(... | 0 |
Everyone who is not funny or tall is both brave and not generous and vice versa. Everyone who is both not rich and quiet is both not creative and funny and vice versa. If alice is not humble or not old then fred is either not strong or rich. If alice is both kind and funny then paul is generous. If someone is either no... | Paul is not tall. | contradiction | (![X]:((~funny(X)|tall(X))<=>(brave(X)&~generous(X))))&
(![X]:((~rich(X)&quiet(X))<=>(~creative(X)&funny(X))))&
(((~humble(alice)|~old(alice)))=>((~strong(fred)<~>rich(fred))))&
(((kind(alice)&funny(alice)))=>(generous(paul)))&
((?[X]:((~tall(X)<~>curious(X))))<=>((~humble(alice)<~>wise(alice))))&
(![X]:((~brave(X)&str... | ~tall(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1060803125940461672915018
% SZS output start Proof for 1060803125940461672915018
8. ! [X0] : ((~brave(X0) & tall(X0)) <=> (old(X0) | ~tall(X0))) [input p7]
21. ~tall(paul) [input hypothesis]
45. ! [X0] : (((~brave(X0) & tall(X0)) | (~old(X0) & tall(X0))) & ((old(X0) | ~tall(X0)) | (brave(... | 0 |
Everyone who is not kind is rich or not calm and vice versa.
Everyone who is both curious and quiet is not tall and vice versa.
Everyone who is either happy or old is happy or quiet and vice versa.
Everyone who is either wise or creative is both not patient and not happy.
Everyone who is both not curious and not strong... | Fred is not kind. | entailment | (![X]:(~kind(X)<=>(rich(X)|~calm(X))))&
(![X]:((curious(X)&quiet(X))<=>~tall(X)))&
(![X]:((happy(X)<~>old(X))<=>(happy(X)|quiet(X))))&
(![X]:((wise(X)<~>creative(X))=>(~patient(X)&~happy(X))))&
(![X]:((~curious(X)&~strong(X))<=>~old(X)))&
((?[X]:(patient(X)))<=>(?[X]:((funny(X)<~>~brave(X)))))&
(![X]:((~patient(X)|rich... | ~kind(fred) | [
"p0",
"p4",
"p6",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8135283863247127399878684
% SZS output start Proof for 8135283863247127399878684
1. ! [X0] : (~kind(X0) <=> (~calm(X0) | rich(X0))) [input p0]
5. ! [X0] : ((~strong(X0) & ~curious(X0)) <=> ~old(X0)) [input p4]
7. ! [X0] : ((rich(X0) | ~patient(X0)) => (calm(X0) <~> old(X0))) [input p6]
8.... | 0 |
If someone is both not quiet and not kind then paul is not wise or strong and vice versa.
If john is rich or not calm then someone is either strong 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 ric... | Lucy is quiet. | contradiction | ((?[X]:((~quiet(X)&~kind(X))))<=>((~wise(paul)|strong(paul))))&
(((rich(john)|~calm(john)))<=>(?[X]:((strong(X)<~>kind(X)))))&
((~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]:((... | quiet(lucy) | [
"p8",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 213640968107070304806303
% SZS output start Proof for 213640968107070304806303
9. ! [X0] : (quiet(X0) => (rich(X0) & ~old(X0))) [input p8]
16. ! [X0] : ((creative(X0) & humble(X0)) <=> rich(X0)) [input p15]
17. ~humble(lucy) [input p16]
24. quiet(lucy) [input hypothesis]
31. ! [X0] : ((ri... | 0 |
Everyone who is both creative and not curious is not kind and vice versa.
Everyone who is both curious and brave is funny or patient and vice versa.
Everyone who is either not creative or not brave is both not funny and not brave and vice versa.
If paul is both creative and not happy then mary is not old or not calm.
E... | Susan is tall. | neutral | (![X]:((creative(X)&~curious(X))<=>~kind(X)))&
(![X]:((curious(X)&brave(X))<=>(funny(X)|patient(X))))&
(![X]:((~creative(X)<~>~brave(X))<=>(~funny(X)&~brave(X))))&
(((creative(paul)&~happy(paul)))=>((~old(mary)|~calm(mary))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(creative(X)&~wise(X))))&
((?[X]:((happy(X)|~humble(X))))=>(c... | tall(susan) | [] | null | 0 |
Everyone who is not wise is either quiet or not creative.
Everyone who is brave is either not curious or creative and vice versa.
Everyone who is not patient is rich or not creative and vice versa.
If fred is either quiet or not brave then someone is either not strong or not brave.
Everyone who is quiet or old is eithe... | John is not generous. | contradiction | (![X]:(~wise(X)=>(quiet(X)<~>~creative(X))))&
(![X]:(brave(X)<=>(~curious(X)<~>creative(X))))&
(![X]:(~patient(X)<=>(rich(X)|~creative(X))))&
(((quiet(fred)<~>~brave(fred)))=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:((quiet(X)|old(X))=>(curious(X)<~>~old(X))))&
(![X]:((~funny(X)&humble(X))=>(~brave(X)|~happy(X))))&
(!... | ~generous(john) | [
"p2",
"p6",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8541198812520375282613329
% SZS output start Proof for 8541198812520375282613329
3. ! [X0] : (~patient(X0) <=> (~creative(X0) | rich(X0))) [input p2]
7. ! [X0] : ((patient(X0) | strong(X0)) => generous(X0)) [input p6]
10. ! [X0] : ((calm(X0) & creative(X0)) <=> (happy(X0) | ~generous(X0))... | 0 |
Everyone who is both kind and curious is funny or not old and vice versa. Everyone who is both not rich and humble is both old and wise and vice versa. Everyone who is either not generous or not calm is either patient or not quiet. Everyone who is not curious is not creative or creative. Everyone who is either curious ... | Alice is not humble. | entailment | (![X]:((kind(X)&curious(X))<=>(funny(X)|~old(X))))&
(![X]:((~rich(X)&humble(X))<=>(old(X)&wise(X))))&
(![X]:((~generous(X)<~>~calm(X))=>(patient(X)<~>~quiet(X))))&
(![X]:(~curious(X)=>(~creative(X)|creative(X))))&
(![X]:((curious(X)<~>rich(X))<=>(calm(X)|~strong(X))))&
(![X]:((strong(X)&wise(X))=>(brave(X)&calm(X))))&
... | ~humble(alice) | [
"p1",
"p4",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2892040033160388739436773
% SZS output start Proof for 2892040033160388739436773
2. ! [X0] : ((humble(X0) & ~rich(X0)) <=> (wise(X0) & old(X0))) [input p1]
5. ! [X0] : ((curious(X0) <~> rich(X0)) <=> (~strong(X0) | calm(X0))) [input p4]
9. ! [X0] : ((tall(X0) | old(X0)) => ~curious(X0)) [... | 0 |
If lucy is rich then someone is either curious or calm.
Everyone who is either old or not generous is either not patient or generous and vice versa.
Everyone who is happy is either not strong or rich and vice versa.
Everyone who is both wise and old is funny.
If john is either not patient or not brave then someone is n... | John is not curious. | entailment | ((rich(lucy))=>(?[X]:((curious(X)<~>calm(X)))))&
(![X]:((old(X)<~>~generous(X))<=>(~patient(X)<~>generous(X))))&
(![X]:(happy(X)<=>(~strong(X)<~>rich(X))))&
(![X]:((wise(X)&old(X))=>funny(X)))&
(((~patient(john)<~>~brave(john)))<=>(?[X]:(~funny(X))))&
(![X]:((~generous(X)<~>~brave(X))=>calm(X)))&
(![X]:((~wise(X)|quiet... | ~curious(john) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2340086461813365873347952
% SZS output start Proof for 2340086461813365873347952
18. ~wise(john) & ~curious(john) [input p17]
25. curious(john) [input hypothesis]
117. ~curious(john) [cnf transformation 18]
127. curious(john) [cnf transformation 25]
242. $false [subsumption resolution 127... | 0 |
If someone is old or not humble then someone is either not wise or brave and vice versa.
If lucy is either creative or not old then susan is tall or not generous and vice versa.
If alice is both happy and strong then john is both wise and not generous and vice versa.
Everyone who is not calm is both not humble and not ... | Alice is not calm. | neutral | ((?[X]:((old(X)|~humble(X))))<=>(?[X]:((~wise(X)<~>brave(X)))))&
(((creative(lucy)<~>~old(lucy)))<=>((tall(susan)|~generous(susan))))&
(((happy(alice)&strong(alice)))<=>((wise(john)&~generous(john))))&
(![X]:(~calm(X)=>(~humble(X)&~calm(X))))&
(![X]:((~happy(X)<~>~rich(X))=>(patient(X)|rich(X))))&
(![X]:((curious(X)|pa... | ~calm(alice) | [] | null | 0 |
Everyone who is either not creative or not strong is either not generous or brave and vice versa.
Everyone who is either rich or not rich is both not quiet and kind and vice versa.
Everyone who is not old is patient.
Everyone who is either not strong or not humble is either not curious or not quiet and vice versa.
If s... | Paul is calm. | contradiction | (![X]:((~creative(X)<~>~strong(X))<=>(~generous(X)<~>brave(X))))&
(![X]:((rich(X)<~>~rich(X))<=>(~quiet(X)&kind(X))))&
(![X]:(~old(X)=>patient(X)))&
(![X]:((~strong(X)<~>~humble(X))<=>(~curious(X)<~>~quiet(X))))&
((?[X]:((~humble(X)|~kind(X))))<=>((patient(alice)<~>creative(alice))))&
((?[X]:((patient(X)&happy(X))))=>(... | calm(paul) | [
"p1",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4862877703875612191159637
% SZS output start Proof for 4862877703875612191159637
2. ! [X0] : ((rich(X0) <~> ~rich(X0)) <=> (kind(X0) & ~quiet(X0))) [input p1]
7. ? [X0] : kind(X0) <=> (~creative(paul) & ~strong(paul)) [input p6]
10. ! [X0] : ((~funny(X0) | generous(X0)) => (~generous(X0) ... | 0 |
Everyone who is both strong and not tall is generous. If fred is either not generous or quiet then lucy is not strong. Everyone who is either not creative or humble is either quiet or not patient and vice versa. If someone is either strong or not curious then john is not strong and vice versa. If someone is not kind or... | Lucy is not kind. | contradiction | (![X]:((strong(X)&~tall(X))=>generous(X)))&
(((~generous(fred)<~>quiet(fred)))=>(~strong(lucy)))&
(![X]:((~creative(X)<~>humble(X))<=>(quiet(X)<~>~patient(X))))&
((?[X]:((strong(X)<~>~curious(X))))<=>(~strong(john)))&
((?[X]:((~kind(X)|~patient(X))))=>((~rich(lucy)&tall(lucy))))&
((?[X]:((~tall(X)<~>~creative(X))))=>(?... | ~kind(lucy) | [
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 53646374854402392842272
% SZS output start Proof for 53646374854402392842272
7. ! [X0] : ((~calm(X0) & kind(X0)) <=> (brave(X0) | ~funny(X0))) [input p6]
20. ~funny(lucy) [input p19]
25. ~kind(lucy) [input hypothesis]
46. ! [X0] : (((~calm(X0) & kind(X0)) | (~brave(X0) & funny(X0))) & ((b... | 0 |
Everyone who is both not happy and brave is either wise or curious.
If someone is both not strong and rich then someone is not rich and vice versa.
Everyone who is either not creative or quiet is happy and vice versa.
Everyone who is not patient is not quiet or generous and vice versa.
If alice is not tall or not funny... | Susan is strong. | neutral | (![X]:((~happy(X)&brave(X))=>(wise(X)<~>curious(X))))&
((?[X]:((~strong(X)&rich(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~creative(X)<~>quiet(X))<=>happy(X)))&
(![X]:(~patient(X)<=>(~quiet(X)|generous(X))))&
(((~tall(alice)|~funny(alice)))=>(?[X]:((~humble(X)&kind(X)))))&
(![X]:((~humble(X)&calm(X))<=>~wise(X)))&
(((kind(al... | strong(susan) | [] | null | 0 |
Everyone who is both not strong and not rich is tall and vice versa.
Everyone who is both kind and not patient is either not funny or quiet and vice versa.
Everyone who is quiet is happy or generous and vice versa.
Everyone who is not wise or not rich is both not happy and not brave.
Everyone who is either not curious ... | Lucy is not patient. | entailment | (![X]:((~strong(X)&~rich(X))<=>tall(X)))&
(![X]:((kind(X)&~patient(X))<=>(~funny(X)<~>quiet(X))))&
(![X]:(quiet(X)<=>(happy(X)|generous(X))))&
(![X]:((~wise(X)|~rich(X))=>(~happy(X)&~brave(X))))&
(![X]:((~curious(X)<~>~brave(X))<=>(curious(X)|funny(X))))&
(![X]:((~curious(X)|~calm(X))<=>~calm(X)))&
(![X]:((rich(X)<~>cu... | ~patient(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3613352201636906042633902
% SZS output start Proof for 3613352201636906042633902
1. ! [X0] : ((~rich(X0) & ~strong(X0)) <=> tall(X0)) [input p0]
2. ! [X0] : ((~patient(X0) & kind(X0)) <=> (~funny(X0) <~> quiet(X0))) [input p1]
3. ! [X0] : (quiet(X0) <=> (generous(X0) | happy(X0))) [input ... | 0 |
If someone is not rich then lucy is old or not tall and vice versa.
Everyone who is not patient is both generous and not creative and vice versa.
Everyone who is either not quiet or kind is generous or brave and vice versa.
If someone is not rich then someone is not generous or quiet.
Everyone who is both not strong an... | Paul is wise. | entailment | ((?[X]:(~rich(X)))<=>((old(lucy)|~tall(lucy))))&
(![X]:(~patient(X)<=>(generous(X)&~creative(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(generous(X)|brave(X))))&
((?[X]:(~rich(X)))=>(?[X]:((~generous(X)|quiet(X)))))&
(![X]:((~strong(X)&~quiet(X))<=>~creative(X)))&
(((~generous(mary)<~>quiet(mary)))=>((~brave(fred)&kind(fred... | wise(paul) | [
"p4",
"p6",
"p13",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6294478706824844431323647
% SZS output start Proof for 6294478706824844431323647
5. ! [X0] : ((~quiet(X0) & ~strong(X0)) <=> ~creative(X0)) [input p4]
7. ! [X0] : ((quiet(X0) <~> humble(X0)) <=> (creative(X0) & ~wise(X0))) [input p6]
14. ! [X0] : ((creative(X0) | happy(X0)) <=> (~rich(X0)... | 0 |
Everyone who is either humble or not creative is not brave or generous.
If someone is not old then john is calm or strong.
Everyone who is not strong or curious is not generous or not kind and vice versa.
Everyone who is strong is calm.
Everyone who is either funny or generous is both not rich and not generous and vice... | Alice is curious. | entailment | (![X]:((humble(X)<~>~creative(X))=>(~brave(X)|generous(X))))&
((?[X]:(~old(X)))=>((calm(john)|strong(john))))&
(![X]:((~strong(X)|curious(X))<=>(~generous(X)|~kind(X))))&
(![X]:(strong(X)=>calm(X)))&
(![X]:((funny(X)<~>generous(X))<=>(~rich(X)&~generous(X))))&
(((generous(susan)&happy(susan)))<=>(?[X]:((~old(X)<~>patie... | curious(alice) | [
"p0",
"p2",
"p4",
"p6",
"p8",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1436244025367037921589435
% SZS output start Proof for 1436244025367037921589435
1. ! [X0] : ((humble(X0) <~> ~creative(X0)) => (generous(X0) | ~brave(X0))) [input p0]
3. ! [X0] : ((curious(X0) | ~strong(X0)) <=> (~kind(X0) | ~generous(X0))) [input p2]
5. ! [X0] : ((funny(X0) <~> generous... | 0 |
If someone is either not rich or not quiet then lucy is either not creative or not strong.
If someone is kind or calm then lucy is both not calm and rich.
Everyone who is not rich or rich is generous or humble.
Everyone who is either rich or not quiet is kind or happy.
Everyone who is both brave and old is either happy... | Paul is not humble. | neutral | ((?[X]:((~rich(X)<~>~quiet(X))))=>((~creative(lucy)<~>~strong(lucy))))&
((?[X]:((kind(X)|calm(X))))=>((~calm(lucy)&rich(lucy))))&
(![X]:((~rich(X)|rich(X))=>(generous(X)|humble(X))))&
(![X]:((rich(X)<~>~quiet(X))=>(kind(X)|happy(X))))&
(![X]:((brave(X)&old(X))=>(happy(X)<~>~kind(X))))&
((?[X]:(strong(X)))<=>(?[X]:((~hu... | ~humble(paul) | [] | null | 0 |
Everyone who is both not kind and rich is not funny and vice versa.
If someone is both brave and not patient then alice is both not humble and creative and vice versa.
Everyone who is curious is not tall or happy and vice versa.
If someone is generous then someone is rich or funny and vice versa.
Everyone who is not hu... | Mary is not strong. | contradiction | (![X]:((~kind(X)&rich(X))<=>~funny(X)))&
((?[X]:((brave(X)&~patient(X))))<=>((~humble(alice)&creative(alice))))&
(![X]:(curious(X)<=>(~tall(X)|happy(X))))&
((?[X]:(generous(X)))<=>(?[X]:((rich(X)|funny(X)))))&
(![X]:(~humble(X)=>(~calm(X)&~strong(X))))&
(![X]:(rich(X)<=>(kind(X)|~rich(X))))&
(![X]:(generous(X)<=>(~old(... | ~strong(mary) | [
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 565919542011483982065547
% SZS output start Proof for 565919542011483982065547
6. ! [X0] : (rich(X0) <=> (~rich(X0) | kind(X0))) [input p5]
8. ! [X0] : ((~curious(X0) | ~quiet(X0)) => (~strong(X0) <~> rich(X0))) [input p7]
12. ! [X0] : ((~brave(X0) | quiet(X0)) <=> (wise(X0) & ~quiet(X0))... | 0 |
If fred is calm or curious then someone is strong.
Everyone who is not old or creative is either curious or kind and vice versa.
Everyone who is either quiet or not old is either not curious or kind.
Everyone who is both tall and old is either tall or calm and vice versa.
Everyone who is kind is quiet.
Everyone who is ... | Paul is brave. | entailment | (((calm(fred)|curious(fred)))=>(?[X]:(strong(X))))&
(![X]:((~old(X)|creative(X))<=>(curious(X)<~>kind(X))))&
(![X]:((quiet(X)<~>~old(X))=>(~curious(X)<~>kind(X))))&
(![X]:((tall(X)&old(X))<=>(tall(X)<~>calm(X))))&
(![X]:(kind(X)=>quiet(X)))&
(![X]:((~kind(X)&~humble(X))<=>(old(X)|curious(X))))&
(![X]:((~curious(X)<~>qu... | brave(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4272458541026995285448808
% SZS output start Proof for 4272458541026995285448808
20. brave(paul) & ~quiet(paul) [input p19]
24. ~brave(paul) [input hypothesis]
137. brave(paul) [cnf transformation 20]
141. ~brave(paul) [cnf transformation 24]
240. $false [subsumption resolution 141,137]
%... | 0 |
Everyone who is both brave and not strong is not kind.
Everyone who is either brave or not brave is rich or kind.
If alice is funny or strong then mary is both not patient and humble and vice versa.
If someone is quiet or not funny then someone is both not humble and patient and vice versa.
If someone is strong then so... | Susan is happy. | contradiction | (![X]:((brave(X)&~strong(X))=>~kind(X)))&
(![X]:((brave(X)<~>~brave(X))=>(rich(X)|kind(X))))&
(((funny(alice)|strong(alice)))<=>((~patient(mary)&humble(mary))))&
((?[X]:((quiet(X)|~funny(X))))<=>(?[X]:((~humble(X)&patient(X)))))&
((?[X]:(strong(X)))=>(?[X]:((~creative(X)&strong(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((stro... | happy(susan) | [
"p1",
"p9",
"p11",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4178941428075271168901183
% SZS output start Proof for 4178941428075271168901183
2. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (kind(X0) | rich(X0))) [input p1]
10. ! [X0] : (~old(X0) <=> ~rich(X0)) [input p9]
12. (~calm(susan) & ~kind(susan)) <=> ? [X0] : (funny(X0) | kind(X0)) [input p11]
... | 0 |
Everyone who is kind or strong is calm and vice versa.
Everyone who is both not curious and old is not funny or kind and vice versa.
Everyone who is humble or quiet is either tall or not strong.
If someone is not brave then fred is not calm or not wise.
Everyone who is patient or tall is rich.
If susan is old then alic... | Susan is rich. | entailment | (![X]:((kind(X)|strong(X))<=>calm(X)))&
(![X]:((~curious(X)&old(X))<=>(~funny(X)|kind(X))))&
(![X]:((humble(X)|quiet(X))=>(tall(X)<~>~strong(X))))&
((?[X]:(~brave(X)))=>((~calm(fred)|~wise(fred))))&
(![X]:((patient(X)|tall(X))=>rich(X)))&
((old(susan))<=>((tall(alice)|~humble(alice))))&
((?[X]:((strong(X)<~>~happy(X)))... | rich(susan) | [
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7028405912613951015830717
% SZS output start Proof for 7028405912613951015830717
12. ! [X0] : ((curious(X0) | ~wise(X0)) => quiet(X0)) [input p11]
13. (calm(john) & happy(john)) <=> ? [X0] : (~rich(X0) | kind(X0)) [input p12]
16. ! [X0] : ((~curious(X0) | quiet(X0)) => (~brave(X0) & ~calm... | 0 |
If someone is both brave and wise then someone is both not patient and not wise and vice versa.
If john is either not happy or not curious then paul is both tall and funny and vice versa.
If someone is not happy then someone is strong or not creative and vice versa.
Everyone who is not funny or humble is either not str... | Paul is humble. | neutral | ((?[X]:((brave(X)&wise(X))))<=>(?[X]:((~patient(X)&~wise(X)))))&
(((~happy(john)<~>~curious(john)))<=>((tall(paul)&funny(paul))))&
((?[X]:(~happy(X)))<=>(?[X]:((strong(X)|~creative(X)))))&
(![X]:((~funny(X)|humble(X))<=>(~strong(X)<~>brave(X))))&
(![X]:((~old(X)|old(X))<=>(old(X)<~>brave(X))))&
((?[X]:((old(X)|~happy(X... | humble(paul) | [] | null | 0 |
If someone is both not rich and not patient then paul is patient or not brave.
If mary is not rich then john is tall and vice versa.
Everyone who is kind or generous is either not patient or not strong.
Everyone who is not tall or not brave is either patient or not brave.
Everyone who is not quiet or quiet is either br... | John is kind. | contradiction | ((?[X]:((~rich(X)&~patient(X))))=>((patient(paul)|~brave(paul))))&
((~rich(mary))<=>(tall(john)))&
(![X]:((kind(X)|generous(X))=>(~patient(X)<~>~strong(X))))&
(![X]:((~tall(X)|~brave(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~quiet(X)|quiet(X))<=>(brave(X)<~>~strong(X))))&
((~curious(lucy))=>(?[X]:((~humble(X)<~>rich(X)... | kind(john) | [
"p2",
"p3",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5221184323398304684477377
% SZS output start Proof for 5221184323398304684477377
3. ! [X0] : ((generous(X0) | kind(X0)) => (~patient(X0) <~> ~strong(X0))) [input p2]
4. ! [X0] : ((~brave(X0) | ~tall(X0)) => (patient(X0) <~> ~brave(X0))) [input p3]
5. ! [X0] : ((quiet(X0) | ~quiet(X0)) <=>... | 0 |
If john is not quiet then someone is both creative and not creative.
If someone is curious then paul is brave or tall.
Everyone who is strong or brave is not strong.
If someone is both not happy and patient then someone is happy or wise and vice versa.
If susan is wise then someone is either generous or not wise.
If su... | Alice is old. | entailment | ((~quiet(john))=>(?[X]:((creative(X)&~creative(X)))))&
((?[X]:(curious(X)))=>((brave(paul)|tall(paul))))&
(![X]:((strong(X)|brave(X))=>~strong(X)))&
((?[X]:((~happy(X)&patient(X))))<=>(?[X]:((happy(X)|wise(X)))))&
((wise(susan))=>(?[X]:((generous(X)<~>~wise(X)))))&
((~brave(susan))=>((~patient(paul)|old(paul))))&
((?[X... | old(alice) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7057906280580612877847950
% SZS output start Proof for 7057906280580612877847950
19. old(alice) & calm(alice) [input p18]
25. ~old(alice) [input hypothesis]
138. old(alice) [cnf transformation 19]
147. ~old(alice) [cnf transformation 25]
335. $false [subsumption resolution 147,138]
% SZS ... | 0 |
Everyone who is either happy or curious is curious or humble and vice versa.
Everyone who is happy or humble is both not calm and not strong and vice versa.
If paul is both not creative and not rich then someone is not old.
If fred is patient or not creative then someone is either not old or not quiet.
If someone is bo... | Fred is not funny. | neutral | (![X]:((happy(X)<~>curious(X))<=>(curious(X)|humble(X))))&
(![X]:((happy(X)|humble(X))<=>(~calm(X)&~strong(X))))&
(((~creative(paul)&~rich(paul)))=>(?[X]:(~old(X))))&
(((patient(fred)|~creative(fred)))=>(?[X]:((~old(X)<~>~quiet(X)))))&
((?[X]:((~humble(X)&~kind(X))))=>(~curious(lucy)))&
((?[X]:(~strong(X)))=>(?[X]:(cur... | ~funny(fred) | [] | null | 0 |
Everyone who is both curious and not strong is not curious or funny and vice versa.
Everyone who is not creative is both not patient and not strong.
If someone is not old or creative then someone is either funny or patient and vice versa.
Everyone who is wise is not rich or funny and vice versa.
If someone is not rich ... | Paul is wise. | contradiction | (![X]:((curious(X)&~strong(X))<=>(~curious(X)|funny(X))))&
(![X]:(~creative(X)=>(~patient(X)&~strong(X))))&
((?[X]:((~old(X)|creative(X))))<=>(?[X]:((funny(X)<~>patient(X)))))&
(![X]:(wise(X)<=>(~rich(X)|funny(X))))&
((?[X]:((~rich(X)|curious(X))))<=>((~strong(paul)|generous(paul))))&
(![X]:((tall(X)|wise(X))<=>patient... | wise(paul) | [
"p0",
"p3",
"p8",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1204964424670285623388822
% SZS output start Proof for 1204964424670285623388822
1. ! [X0] : ((~strong(X0) & curious(X0)) <=> (funny(X0) | ~curious(X0))) [input p0]
4. ! [X0] : (wise(X0) <=> (funny(X0) | ~rich(X0))) [input p3]
9. ? [X0] : ~rich(X0) => (wise(lucy) & ~quiet(lucy)) [input p8... | 0 |
If alice is not tall then someone is either creative or not creative.
If someone is not quiet then someone is both patient and not curious and vice versa.
If alice is old then john is tall.
Everyone who is patient or not funny is not rich or funny and vice versa.
If someone is not calm or generous then someone is eithe... | Fred is humble. | entailment | ((~tall(alice))=>(?[X]:((creative(X)<~>~creative(X)))))&
((?[X]:(~quiet(X)))<=>(?[X]:((patient(X)&~curious(X)))))&
((old(alice))=>(tall(john)))&
(![X]:((patient(X)|~funny(X))<=>(~rich(X)|funny(X))))&
((?[X]:((~calm(X)|generous(X))))=>(?[X]:((~kind(X)<~>~wise(X)))))&
(![X]:((~old(X)<~>~brave(X))<=>(~strong(X)&~rich(X)))... | humble(fred) | [
"p5",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3085336611054223640552951
% SZS output start Proof for 3085336611054223640552951
6. ! [X0] : ((~old(X0) <~> ~brave(X0)) <=> (~rich(X0) & ~strong(X0))) [input p5]
14. ! [X0] : ((humble(X0) | old(X0)) <=> ~brave(X0)) [input p13]
16. ! [X0] : (calm(X0) <=> (strong(X0) | ~calm(X0))) [input p1... | 0 |
Everyone who is both not curious and not brave is either not tall or not calm. If someone is either old or creative then someone is either not happy or not tall and vice versa. Everyone who is either not tall or generous is not patient. If someone is not calm then someone is not tall. Everyone who is calm is not wise. ... | Fred is tall. | entailment | (![X]:((~curious(X)&~brave(X))=>(~tall(X)<~>~calm(X))))&
((?[X]:((old(X)<~>creative(X))))<=>(?[X]:((~happy(X)<~>~tall(X)))))&
(![X]:((~tall(X)<~>generous(X))=>~patient(X)))&
((?[X]:(~calm(X)))=>(?[X]:(~tall(X))))&
(![X]:(calm(X)=>~wise(X)))&
(((~patient(lucy)|tall(lucy)))=>(?[X]:((~calm(X)<~>~brave(X)))))&
((?[X]:((hap... | tall(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8754219540800404050192141
% SZS output start Proof for 8754219540800404050192141
21. tall(fred) [input p20]
25. ~tall(fred) [input hypothesis]
143. tall(fred) [cnf transformation 21]
148. ~tall(fred) [cnf transformation 25]
348. $false [subsumption resolution 148,143]
% SZS output end Pro... | 0 |
Everyone who is either not generous or humble is not wise.
Everyone who is not funny or brave is generous.
If alice is either rich or not quiet then someone is not tall or curious.
If paul is strong then someone is curious or rich.
If susan is not wise or humble then mary is not generous or kind and vice versa.
If some... | Paul is not brave. | contradiction | (![X]:((~generous(X)<~>humble(X))=>~wise(X)))&
(![X]:((~funny(X)|brave(X))=>generous(X)))&
(((rich(alice)<~>~quiet(alice)))=>(?[X]:((~tall(X)|curious(X)))))&
((strong(paul))=>(?[X]:((curious(X)|rich(X)))))&
(((~wise(susan)|humble(susan)))<=>((~generous(mary)|kind(mary))))&
((?[X]:((patient(X)|~strong(X))))=>(?[X]:((ric... | ~brave(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2975247747141826147509856
% SZS output start Proof for 2975247747141826147509856
9. ! [X0] : ((tall(X0) | ~brave(X0)) => (~generous(X0) & brave(X0))) [input p8]
23. ~brave(paul) [input hypothesis]
34. ! [X0] : ((~generous(X0) & brave(X0)) | (~tall(X0) & brave(X0))) [ennf transformation 9]... | 0 |
Everyone who is not curious or old is not funny and vice versa. Everyone who is either not patient or curious is calm or kind. Everyone who is not strong or not curious is happy or calm and vice versa. Everyone who is not tall or tall is either rich or not wise. Everyone who is not funny is both not happy and not gener... | Fred is not patient. | neutral | (![X]:((~curious(X)|old(X))<=>~funny(X)))&
(![X]:((~patient(X)<~>curious(X))=>(calm(X)|kind(X))))&
(![X]:((~strong(X)|~curious(X))<=>(happy(X)|calm(X))))&
(![X]:((~tall(X)|tall(X))=>(rich(X)<~>~wise(X))))&
(![X]:(~funny(X)=>(~happy(X)&~generous(X))))&
((?[X]:((~happy(X)&~wise(X))))=>((rich(fred)<~>kind(fred))))&
((?[X]... | ~patient(fred) | [] | null | 0 |
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