premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either kind or quiet is quiet. If lucy is either quiet or humble then susan is old and vice versa. Everyone who is either calm or curious is not curious or old and vice versa. Everyone who is not wise or not tall is not rich. Everyone who is either not patient or quiet is not brave or not happy and vice... | Lucy is not strong. | neutral | (![X]:((kind(X)<~>quiet(X))=>quiet(X)))&
(((quiet(lucy)<~>humble(lucy)))<=>(old(susan)))&
(![X]:((calm(X)<~>curious(X))<=>(~curious(X)|old(X))))&
(![X]:((~wise(X)|~tall(X))=>~rich(X)))&
(![X]:((~patient(X)<~>quiet(X))<=>(~brave(X)|~happy(X))))&
(![X]:(curious(X)<=>(tall(X)|creative(X))))&
(![X]:((funny(X)&~wise(X))<=>(... | ~strong(lucy) | [] | null | 0 |
If mary is either not happy or not kind then someone is not quiet or happy. If someone is both calm and not strong then alice is patient and vice versa. Everyone who is brave or not humble is both not humble and not curious and vice versa. Everyone who is both not generous and not wise is not brave. Everyone who is eit... | Alice is not patient. | contradiction | (((~happy(mary)<~>~kind(mary)))=>(?[X]:((~quiet(X)|happy(X)))))&
((?[X]:((calm(X)&~strong(X))))<=>(patient(alice)))&
(![X]:((brave(X)|~humble(X))<=>(~humble(X)&~curious(X))))&
(![X]:((~generous(X)&~wise(X))=>~brave(X)))&
(![X]:((~quiet(X)<~>~kind(X))<=>(creative(X)&rich(X))))&
(![X]:((~humble(X)<~>~creative(X))<=>(funn... | ~patient(alice) | [
"p1",
"p2",
"p12",
"p13",
"p14",
"p17",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5405519557644895072370140
% SZS output start Proof for 5405519557644895072370140
2. ? [X0] : (~strong(X0) & calm(X0)) <=> patient(alice) [input p1]
3. ! [X0] : ((~humble(X0) | brave(X0)) <=> (~curious(X0) & ~humble(X0))) [input p2]
13. ! [X0] : (~brave(X0) <=> (~old(X0) & happy(X0))) [inp... | 0 |
Everyone who is brave or not humble is either strong or creative and vice versa.
Everyone who is both not rich and not humble is either not curious or not happy.
If lucy is funny then someone is rich and vice versa.
Everyone who is both not calm and calm is happy or not generous and vice versa.
Everyone who is both str... | Mary is strong. | entailment | (![X]:((brave(X)|~humble(X))<=>(strong(X)<~>creative(X))))&
(![X]:((~rich(X)&~humble(X))=>(~curious(X)<~>~happy(X))))&
((funny(lucy))<=>(?[X]:(rich(X))))&
(![X]:((~calm(X)&calm(X))<=>(happy(X)|~generous(X))))&
(![X]:((strong(X)&~tall(X))=>(~tall(X)<~>happy(X))))&
(((~wise(fred)<~>brave(fred)))=>(?[X]:((~funny(X)&creati... | strong(mary) | [
"p0",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1518193798730069181646322
% SZS output start Proof for 1518193798730069181646322
1. ! [X0] : ((~humble(X0) | brave(X0)) <=> (strong(X0) <~> creative(X0))) [input p0]
15. ! [X0] : ((~creative(X0) | rich(X0)) <=> (~rich(X0) | ~funny(X0))) [input p14]
16. ! [X0] : ((old(X0) | creative(X0)) <... | 0 |
If fred is tall or not patient then paul is not kind or happy and vice versa. Everyone who is quiet is kind. Everyone who is either rich or funny is either strong or generous and vice versa. Everyone who is either tall or creative is quiet or not strong. Everyone who is both not tall and wise is not curious and vice ve... | Fred is not generous. | contradiction | (((tall(fred)|~patient(fred)))<=>((~kind(paul)|happy(paul))))&
(![X]:(quiet(X)=>kind(X)))&
(![X]:((rich(X)<~>funny(X))<=>(strong(X)<~>generous(X))))&
(![X]:((tall(X)<~>creative(X))=>(quiet(X)|~strong(X))))&
(![X]:((~tall(X)&wise(X))<=>~curious(X)))&
(![X]:(generous(X)<=>(brave(X)|old(X))))&
(![X]:((~rich(X)|brave(X))<=... | ~generous(fred) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1064941116168687117537483
% SZS output start Proof for 1064941116168687117537483
6. ! [X0] : (generous(X0) <=> (old(X0) | brave(X0))) [input p5]
11. ! [X0] : ((generous(X0) & kind(X0)) <=> (tall(X0) | ~brave(X0))) [input p10]
22. ~generous(fred) [input hypothesis]
37. ! [X0] : ((generous(... | 0 |
Everyone who is not strong is not rich.
Everyone who is patient or kind is humble or not tall.
Everyone who is either not humble or not wise is both calm and curious and vice versa.
Everyone who is both not tall and creative is creative or wise and vice versa.
Everyone who is calm or creative is not brave and vice vers... | Susan is not calm. | entailment | (![X]:(~strong(X)=>~rich(X)))&
(![X]:((patient(X)|kind(X))=>(humble(X)|~tall(X))))&
(![X]:((~humble(X)<~>~wise(X))<=>(calm(X)&curious(X))))&
(![X]:((~tall(X)&creative(X))<=>(creative(X)|wise(X))))&
(![X]:((calm(X)|creative(X))<=>~brave(X)))&
(![X]:(~patient(X)=>funny(X)))&
(![X]:((~patient(X)<~>~generous(X))=>(~funny(X... | ~calm(susan) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6496265244665206622625019
% SZS output start Proof for 6496265244665206622625019
5. ! [X0] : ((creative(X0) | calm(X0)) <=> ~brave(X0)) [input p4]
12. ! [X0] : ((happy(X0) | ~happy(X0)) => (rich(X0) & brave(X0))) [input p11]
22. calm(susan) [input hypothesis]
37. ! [X0] : ((rich(X0) & bra... | 0 |
Everyone who is either patient or not strong is kind or not patient and vice versa.
Everyone who is quiet or patient is both curious and generous and vice versa.
Everyone who is not curious or not happy is happy.
Everyone who is both not funny and not humble is both humble and strong.
If john is both kind and brave the... | Alice is not kind. | entailment | (![X]:((patient(X)<~>~strong(X))<=>(kind(X)|~patient(X))))&
(![X]:((quiet(X)|patient(X))<=>(curious(X)&generous(X))))&
(![X]:((~curious(X)|~happy(X))=>happy(X)))&
(![X]:((~funny(X)&~humble(X))=>(humble(X)&strong(X))))&
(((kind(john)&brave(john)))<=>(?[X]:((brave(X)|~quiet(X)))))&
(![X]:((~wise(X)&old(X))=>(calm(X)&rich... | ~kind(alice) | [
"p1",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1303078572713204003578718
% SZS output start Proof for 1303078572713204003578718
2. ! [X0] : ((patient(X0) | quiet(X0)) <=> (generous(X0) & curious(X0))) [input p1]
9. ! [X0] : ((~funny(X0) | generous(X0)) <=> (~kind(X0) & creative(X0))) [input p8]
11. ! [X0] : ((tall(X0) | humble(X0)) <=... | 0 |
Everyone who is generous is strong or not tall and vice versa. If mary is either not happy or not kind then someone is not wise or not happy and vice versa. Everyone who is patient is tall or happy and vice versa. Everyone who is brave is kind or tall and vice versa. Everyone who is old is either curious or funny. Ever... | Mary is not calm. | entailment | (![X]:(generous(X)<=>(strong(X)|~tall(X))))&
(((~happy(mary)<~>~kind(mary)))<=>(?[X]:((~wise(X)|~happy(X)))))&
(![X]:(patient(X)<=>(tall(X)|happy(X))))&
(![X]:(brave(X)<=>(kind(X)|tall(X))))&
(![X]:(old(X)=>(curious(X)<~>funny(X))))&
(![X]:((~patient(X)<~>strong(X))<=>~curious(X)))&
(((~generous(mary)&~happy(mary)))=>(... | ~calm(mary) | [
"p3",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 570010094968723793244369
% SZS output start Proof for 570010094968723793244369
4. ! [X0] : (brave(X0) <=> (tall(X0) | kind(X0))) [input p3]
19. ~brave(mary) | ~calm(mary) [input p18]
24. kind(mary) & old(mary) [input p23]
25. calm(mary) [input hypothesis]
45. ! [X0] : ((brave(X0) | (~tall... | 0 |
Everyone who is not curious is not old.
Everyone who is generous is either not calm or brave.
Everyone who is funny or patient is not tall and vice versa.
Everyone who is either old or not old is either funny or happy and vice versa.
If susan is humble then mary is not patient and vice versa.
Everyone who is not wise i... | Paul is not patient. | entailment | (![X]:(~curious(X)=>~old(X)))&
(![X]:(generous(X)=>(~calm(X)<~>brave(X))))&
(![X]:((funny(X)|patient(X))<=>~tall(X)))&
(![X]:((old(X)<~>~old(X))<=>(funny(X)<~>happy(X))))&
((humble(susan))<=>(~patient(mary)))&
(![X]:(~wise(X)=>~funny(X)))&
(![X]:((curious(X)<~>humble(X))<=>(~generous(X)|wise(X))))&
((?[X]:((~rich(X)|qu... | ~patient(paul) | [
"p2",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 86389126404016400465885
% SZS output start Proof for 86389126404016400465885
3. ! [X0] : ((patient(X0) | funny(X0)) <=> ~tall(X0)) [input p2]
10. ! [X0] : ((rich(X0) | brave(X0)) => (happy(X0) & ~brave(X0))) [input p9]
12. ! [X0] : ((funny(X0) | ~brave(X0)) <=> (curious(X0) & tall(X0))) [... | 0 |
If lucy is kind then someone is either strong or curious and vice versa.
Everyone who is not strong or not old is both not happy and curious and vice versa.
Everyone who is either strong or not old is not calm and vice versa.
Everyone who is kind is not humble or curious and vice versa.
If someone is not funny then mar... | Alice is not patient. | contradiction | ((kind(lucy))<=>(?[X]:((strong(X)<~>curious(X)))))&
(![X]:((~strong(X)|~old(X))<=>(~happy(X)&curious(X))))&
(![X]:((strong(X)<~>~old(X))<=>~calm(X)))&
(![X]:(kind(X)<=>(~humble(X)|curious(X))))&
((?[X]:(~funny(X)))=>((calm(mary)<~>funny(mary))))&
(![X]:((generous(X)<~>curious(X))=>(creative(X)&old(X))))&
((?[X]:((patie... | ~patient(alice) | [
"p1",
"p2",
"p3",
"p7",
"p9",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3056961579976366456857732
% SZS output start Proof for 3056961579976366456857732
2. ! [X0] : ((~old(X0) | ~strong(X0)) <=> (curious(X0) & ~happy(X0))) [input p1]
3. ! [X0] : ((strong(X0) <~> ~old(X0)) <=> ~calm(X0)) [input p2]
4. ! [X0] : (kind(X0) <=> (curious(X0) | ~humble(X0))) [input ... | 0 |
Everyone who is either not curious or funny is both old and strong. Everyone who is quiet is both not old and not strong and vice versa. Everyone who is not strong or not happy is both not happy and kind. Everyone who is not kind or generous is calm and vice versa. If john is both not quiet and tall then someone is tal... | Fred is not patient. | neutral | (![X]:((~curious(X)<~>funny(X))=>(old(X)&strong(X))))&
(![X]:(quiet(X)<=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))&
(![X]:(~pati... | ~patient(fred) | [] | null | 0 |
Everyone who is either not creative or strong is either not humble or not quiet and vice versa.
Everyone who is either not calm or happy is both not rich and old.
Everyone who is not tall or not creative is both old and not patient and vice versa.
Everyone who is not happy or not calm is both not creative and creative ... | Lucy is funny. | entailment | (![X]:((~creative(X)<~>strong(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((~calm(X)<~>happy(X))=>(~rich(X)&old(X))))&
(![X]:((~tall(X)|~creative(X))<=>(old(X)&~patient(X))))&
(![X]:((~happy(X)|~calm(X))<=>(~creative(X)&creative(X))))&
(((creative(fred)&tall(fred)))=>((~kind(alice)|tall(alice))))&
(![X]:((~funny(X)|tall(X)... | funny(lucy) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p7",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 127885258813193801260514
% SZS output start Proof for 127885258813193801260514
1. ! [X0] : ((~creative(X0) <~> strong(X0)) <=> (~humble(X0) <~> ~quiet(X0))) [input p0]
2. ! [X0] : ((~calm(X0) <~> happy(X0)) => (old(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((~calm(X0) | ~happy(X0)) <=> (cr... | 0 |
Everyone who is not rich or not humble is kind or brave and vice versa. Everyone who is not funny is kind or not funny. Everyone who is both brave and not creative is either not happy or brave. Everyone who is both not curious and kind is not patient. Everyone who is either calm or kind is both not wise and not curious... | Susan is not rich. | entailment | (![X]:((~rich(X)|~humble(X))<=>(kind(X)|brave(X))))&
(![X]:(~funny(X)=>(kind(X)|~funny(X))))&
(![X]:((brave(X)&~creative(X))=>(~happy(X)<~>brave(X))))&
(![X]:((~curious(X)&kind(X))=>~patient(X)))&
(![X]:((calm(X)<~>kind(X))<=>(~wise(X)&~curious(X))))&
((~tall(alice))<=>(?[X]:((~strong(X)|~tall(X)))))&
(![X]:((~brave(X)... | ~rich(susan) | [
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8254949774352874560415097
% SZS output start Proof for 8254949774352874560415097
13. ! [X0] : (calm(X0) => ~rich(X0)) [input p12]
23. calm(susan) & ~tall(susan) [input p22]
25. rich(susan) [input hypothesis]
40. ! [X0] : (~rich(X0) | ~calm(X0)) [ennf transformation 13]
107. ~calm(X0) | ~r... | 0 |
Everyone who is either not kind or quiet is either tall or not old.
If someone is quiet or calm then alice is both wise and not quiet.
If someone is not tall then someone is quiet or not calm.
If someone is not quiet then someone is kind or not calm.
Everyone who is not patient is generous and vice versa.
Everyone who ... | John is funny. | neutral | (![X]:((~kind(X)<~>quiet(X))=>(tall(X)<~>~old(X))))&
((?[X]:((quiet(X)|calm(X))))=>((wise(alice)&~quiet(alice))))&
((?[X]:(~tall(X)))=>(?[X]:((quiet(X)|~calm(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((kind(X)|~calm(X)))))&
(![X]:(~patient(X)<=>generous(X)))&
(![X]:((strong(X)&~strong(X))<=>(wise(X)|brave(X))))&
((?[X]:((humb... | funny(john) | [] | null | 0 |
Everyone who is not generous or not quiet is both not curious and not humble.
Everyone who is patient is wise.
If john is both happy and not creative then someone is not patient and vice versa.
Everyone who is both funny and not happy is either not strong or not funny and vice versa.
If someone is happy or not curious ... | Paul is not tall. | entailment | (![X]:((~generous(X)|~quiet(X))=>(~curious(X)&~humble(X))))&
(![X]:(patient(X)=>wise(X)))&
(((happy(john)&~creative(john)))<=>(?[X]:(~patient(X))))&
(![X]:((funny(X)&~happy(X))<=>(~strong(X)<~>~funny(X))))&
((?[X]:((happy(X)|~curious(X))))=>(?[X]:((~wise(X)&patient(X)))))&
((?[X]:((strong(X)|brave(X))))<=>((creative(lu... | ~tall(paul) | [
"p1",
"p3",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8569693579740838122778399
% SZS output start Proof for 8569693579740838122778399
2. ! [X0] : (patient(X0) => wise(X0)) [input p1]
4. ! [X0] : ((~happy(X0) & funny(X0)) <=> (~strong(X0) <~> ~funny(X0))) [input p3]
5. ? [X0] : (~curious(X0) | happy(X0)) => ? [X0] : (patient(X0) & ~wise(X0))... | 0 |
Everyone who is both not funny and not calm is either not tall or not curious and vice versa. Everyone who is tall or generous is kind. If john is either tall or old then alice is not happy or not funny and vice versa. Everyone who is generous or not humble is either calm or not kind and vice versa. If someone is eithe... | Alice is not generous. | entailment | (![X]:((~funny(X)&~calm(X))<=>(~tall(X)<~>~curious(X))))&
(![X]:((tall(X)|generous(X))=>kind(X)))&
(((tall(john)<~>old(john)))<=>((~happy(alice)|~funny(alice))))&
(![X]:((generous(X)|~humble(X))<=>(calm(X)<~>~kind(X))))&
((?[X]:((creative(X)<~>~humble(X))))<=>(?[X]:((~quiet(X)&~strong(X)))))&
(((old(susan)|strong(susan... | ~generous(alice) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7156271026115975139482462
% SZS output start Proof for 7156271026115975139482462
2. ! [X0] : ((generous(X0) | tall(X0)) => kind(X0)) [input p1]
7. ! [X0] : ((~kind(X0) & strong(X0)) <=> kind(X0)) [input p6]
22. generous(alice) [input hypothesis]
25. ! [X0] : (kind(X0) | (~generous(X0) & ~... | 0 |
If someone is quiet or tall then lucy is both funny and tall and vice versa.
Everyone who is either not creative or not kind is kind or creative.
If paul is both not quiet and not curious then someone is both humble and not calm.
If someone is patient or not rich then lucy is not generous or not creative.
Everyone who ... | Susan is funny. | entailment | ((?[X]:((quiet(X)|tall(X))))<=>((funny(lucy)&tall(lucy))))&
(![X]:((~creative(X)<~>~kind(X))=>(kind(X)|creative(X))))&
(((~quiet(paul)&~curious(paul)))=>(?[X]:((humble(X)&~calm(X)))))&
((?[X]:((patient(X)|~rich(X))))=>((~generous(lucy)|~creative(lucy))))&
(![X]:(old(X)<=>(~calm(X)|strong(X))))&
(((calm(fred)|quiet(fred... | funny(susan) | [
"p4",
"p7",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1244213097129356868662669
% SZS output start Proof for 1244213097129356868662669
5. ! [X0] : (old(X0) <=> (strong(X0) | ~calm(X0))) [input p4]
8. ! [X0] : (~calm(X0) <=> (~wise(X0) | happy(X0))) [input p7]
16. ! [X0] : ((~wise(X0) | ~old(X0)) <=> (~funny(X0) | humble(X0))) [input p15]
21.... | 0 |
If someone is not creative or not generous then alice is not strong.
Everyone who is funny is both funny and not calm and vice versa.
Everyone who is either calm or curious is happy.
If susan is both not creative and happy then someone is either wise or strong and vice versa.
Everyone who is wise is patient or generous... | Fred is not creative. | entailment | ((?[X]:((~creative(X)|~generous(X))))=>(~strong(alice)))&
(![X]:(funny(X)<=>(funny(X)&~calm(X))))&
(![X]:((calm(X)<~>curious(X))=>happy(X)))&
(((~creative(susan)&happy(susan)))<=>(?[X]:((wise(X)<~>strong(X)))))&
(![X]:(wise(X)<=>(patient(X)|generous(X))))&
(![X]:((tall(X)&happy(X))=>(~patient(X)&old(X))))&
(![X]:(~quie... | ~creative(fred) | [
"p6",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8013669213158354898129742
% SZS output start Proof for 8013669213158354898129742
7. ! [X0] : (~quiet(X0) <=> (~strong(X0) | generous(X0))) [input p6]
12. ! [X0] : (~brave(X0) <=> (~creative(X0) <~> ~quiet(X0))) [input p11]
20. brave(fred) & generous(fred) [input p19]
25. creative(fred) [i... | 0 |
Everyone who is both calm and curious is wise or happy. If someone is both not calm and quiet then someone is not brave or not tall and vice versa. Everyone who is both not generous and kind is either not kind or not funny and vice versa. Everyone who is wise or quiet is both not curious and brave and vice versa. If so... | John is calm. | contradiction | (![X]:((calm(X)&curious(X))=>(wise(X)|happy(X))))&
((?[X]:((~calm(X)&quiet(X))))<=>(?[X]:((~brave(X)|~tall(X)))))&
(![X]:((~generous(X)&kind(X))<=>(~kind(X)<~>~funny(X))))&
(![X]:((wise(X)|quiet(X))<=>(~curious(X)&brave(X))))&
((?[X]:((creative(X)<~>old(X))))=>(?[X]:((calm(X)&kind(X)))))&
(![X]:((~curious(X)&~old(X))=>... | calm(john) | [
"p7",
"p12",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5243129044311888200529104
% SZS output start Proof for 5243129044311888200529104
8. ! [X0] : ((~generous(X0) <~> generous(X0)) => (~wise(X0) <~> happy(X0))) [input p7]
13. ! [X0] : ((~calm(X0) | tall(X0)) <=> (old(X0) & ~humble(X0))) [input p12]
14. humble(john) <=> ? [X0] : (~humble(X0) ... | 0 |
If someone is not humble then fred is creative.
Everyone who is both generous and happy is funny.
If john is not creative or not old then alice is either not humble or not quiet.
If paul is not rich or curious then mary is not humble or not quiet.
Everyone who is not old or not humble is not happy or funny and vice ver... | Paul is not quiet. | neutral | ((?[X]:(~humble(X)))=>(creative(fred)))&
(![X]:((generous(X)&happy(X))=>funny(X)))&
(((~creative(john)|~old(john)))=>((~humble(alice)<~>~quiet(alice))))&
(((~rich(paul)|curious(paul)))=>((~humble(mary)|~quiet(mary))))&
(![X]:((~old(X)|~humble(X))<=>(~happy(X)|funny(X))))&
(((~rich(fred)&curious(fred)))=>(?[X]:((~brave(... | ~quiet(paul) | [] | null | 0 |
Everyone who is not old or happy is not tall.
If lucy is not curious then someone is strong.
If someone is not rich or old then alice is happy and vice versa.
If susan is not rich or quiet then someone is strong or not generous.
If someone is both creative and not funny then john is both funny and brave.
If someone is ... | Alice is brave. | entailment | (![X]:((~old(X)|happy(X))=>~tall(X)))&
((~curious(lucy))=>(?[X]:(strong(X))))&
((?[X]:((~rich(X)|old(X))))<=>(happy(alice)))&
(((~rich(susan)|quiet(susan)))=>(?[X]:((strong(X)|~generous(X)))))&
((?[X]:((creative(X)&~funny(X))))=>((funny(john)&brave(john))))&
((?[X]:((creative(X)&~kind(X))))=>(?[X]:((happy(X)|~strong(X)... | brave(alice) | [
"p2",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2906291429065088731470292
% SZS output start Proof for 2906291429065088731470292
3. ? [X0] : (old(X0) | ~rich(X0)) <=> happy(alice) [input p2]
9. ! [X0] : ((~happy(X0) & ~curious(X0)) <=> (rich(X0) | ~quiet(X0))) [input p8]
12. ! [X0] : ((~brave(X0) | tall(X0)) <=> (rich(X0) <~> ~curious(... | 0 |
Everyone who is both not wise and tall is strong and vice versa.
If lucy is either rich or calm then alice is not creative or rich and vice versa.
Everyone who is both not wise and not tall is either tall or happy and vice versa.
Everyone who is either not kind or not funny is wise.
If john is not happy then someone is... | Susan is creative. | neutral | (![X]:((~wise(X)&tall(X))<=>strong(X)))&
(((rich(lucy)<~>calm(lucy)))<=>((~creative(alice)|rich(alice))))&
(![X]:((~wise(X)&~tall(X))<=>(tall(X)<~>happy(X))))&
(![X]:((~kind(X)<~>~funny(X))=>wise(X)))&
((~happy(john))=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:((curious(X)&~brave(X))=>(~wise(X)&~generous(X))))&
((?[X]:((h... | creative(susan) | [] | null | 0 |
If someone is humble or tall then john is rich or not curious.
Everyone who is brave or curious is not kind and vice versa.
Everyone who is both happy and brave is either brave or not strong and vice versa.
Everyone who is kind is both old and not old.
If fred is not generous then someone is both generous and not kind.... | Mary is creative. | contradiction | ((?[X]:((humble(X)|tall(X))))=>((rich(john)|~curious(john))))&
(![X]:((brave(X)|curious(X))<=>~kind(X)))&
(![X]:((happy(X)&brave(X))<=>(brave(X)<~>~strong(X))))&
(![X]:(kind(X)=>(old(X)&~old(X))))&
((~generous(fred))=>(?[X]:((generous(X)&~kind(X)))))&
(![X]:(quiet(X)<=>~creative(X)))&
(![X]:(patient(X)<=>(~kind(X)<~>cu... | creative(mary) | [
"p1",
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6171591510268160813243824
% SZS output start Proof for 6171591510268160813243824
2. ! [X0] : ((curious(X0) | brave(X0)) <=> ~kind(X0)) [input p1]
4. ! [X0] : (kind(X0) => (~old(X0) & old(X0))) [input p3]
7. ! [X0] : (patient(X0) <=> (~kind(X0) <~> curious(X0))) [input p6]
14. ! [X0] : ((b... | 0 |
If someone is tall or quiet then someone is either generous or happy and vice versa. Everyone who is not quiet or rich is not creative and vice versa. If john is quiet then paul is either rich or not funny and vice versa. Everyone who is either not happy or not quiet is both creative and not generous. Everyone who is b... | Fred is quiet. | entailment | ((?[X]:((tall(X)|quiet(X))))<=>(?[X]:((generous(X)<~>happy(X)))))&
(![X]:((~quiet(X)|rich(X))<=>~creative(X)))&
((quiet(john))<=>((rich(paul)<~>~funny(paul))))&
(![X]:((~happy(X)<~>~quiet(X))=>(creative(X)&~generous(X))))&
(![X]:((creative(X)&~curious(X))=>(~tall(X)&~old(X))))&
(![X]:(~generous(X)<=>(~happy(X)&~funny(X... | quiet(fred) | [
"p1",
"p3",
"p6",
"p7",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8899467543076521217584581
% SZS output start Proof for 8899467543076521217584581
2. ! [X0] : ((rich(X0) | ~quiet(X0)) <=> ~creative(X0)) [input p1]
4. ! [X0] : ((~happy(X0) <~> ~quiet(X0)) => (~generous(X0) & creative(X0))) [input p3]
7. ! [X0] : (rich(X0) <=> (strong(X0) | kind(X0))) [in... | 0 |
Everyone who is both humble and brave is not patient or old and vice versa.
If someone is both tall and generous then someone is either humble or not funny and vice versa.
If mary is both funny and not patient then mary is both patient and not brave.
If someone is patient then alice is both not brave and kind and vice ... | Susan is not quiet. | entailment | (![X]:((humble(X)&brave(X))<=>(~patient(X)|old(X))))&
((?[X]:((tall(X)&generous(X))))<=>(?[X]:((humble(X)<~>~funny(X)))))&
(((funny(mary)&~patient(mary)))=>((patient(mary)&~brave(mary))))&
((?[X]:(patient(X)))<=>((~brave(alice)&kind(alice))))&
((~generous(susan))=>(?[X]:((~calm(X)<~>strong(X)))))&
(![X]:(~kind(X)<=>(~b... | ~quiet(susan) | [
"p0",
"p3",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2280950520701316593749682
% SZS output start Proof for 2280950520701316593749682
1. ! [X0] : ((brave(X0) & humble(X0)) <=> (old(X0) | ~patient(X0))) [input p0]
4. ? [X0] : patient(X0) <=> (kind(alice) & ~brave(alice)) [input p3]
6. ! [X0] : (~kind(X0) <=> (~brave(X0) <~> ~kind(X0))) [inpu... | 0 |
Everyone who is not old or funny is both not calm and strong.
If someone is either old or happy then someone is both calm and patient.
If susan is brave or not old then mary is brave.
Everyone who is either not tall or tall is not old or funny.
If someone is both quiet and brave then lucy is humble and vice versa.
If m... | Lucy is strong. | entailment | (![X]:((~old(X)|funny(X))=>(~calm(X)&strong(X))))&
((?[X]:((old(X)<~>happy(X))))=>(?[X]:((calm(X)&patient(X)))))&
(((brave(susan)|~old(susan)))=>(brave(mary)))&
(![X]:((~tall(X)<~>tall(X))=>(~old(X)|funny(X))))&
((?[X]:((quiet(X)&brave(X))))<=>(humble(lucy)))&
(((~creative(mary)|~happy(mary)))=>((strong(john)|generous(... | strong(lucy) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6910281944517770330254213
% SZS output start Proof for 6910281944517770330254213
1. ! [X0] : ((funny(X0) | ~old(X0)) => (strong(X0) & ~calm(X0))) [input p0]
4. ! [X0] : ((~tall(X0) <~> tall(X0)) => (funny(X0) | ~old(X0))) [input p3]
25. ~strong(lucy) [input hypothesis]
34. ! [X0] : ((stro... | 0 |
If paul is both not patient and happy then john is either brave or humble and vice versa. If someone is either not tall or not strong then someone is either happy or patient. Everyone who is both happy and not tall is not humble. If someone is happy then someone is both not patient and not wise and vice versa. Everyone... | Lucy is not calm. | neutral | (((~patient(paul)&happy(paul)))<=>((brave(john)<~>humble(john))))&
((?[X]:((~tall(X)<~>~strong(X))))=>(?[X]:((happy(X)<~>patient(X)))))&
(![X]:((happy(X)&~tall(X))=>~humble(X)))&
((?[X]:(happy(X)))<=>(?[X]:((~patient(X)&~wise(X)))))&
(![X]:(~generous(X)=>(~tall(X)&strong(X))))&
(![X]:((happy(X)<~>~quiet(X))<=>~tall(X))... | ~calm(lucy) | [] | null | 0 |
Everyone who is either tall or calm is both not calm and not quiet. Everyone who is not creative is both not rich and creative and vice versa. If someone is not happy then someone is not curious and vice versa. If paul is both not humble and wise then alice is creative or humble and vice versa. Everyone who is both hap... | Paul is not patient. | contradiction | (![X]:((tall(X)<~>calm(X))=>(~calm(X)&~quiet(X))))&
(![X]:(~creative(X)<=>(~rich(X)&creative(X))))&
((?[X]:(~happy(X)))<=>(?[X]:(~curious(X))))&
(((~humble(paul)&wise(paul)))<=>((creative(alice)|humble(alice))))&
(![X]:((happy(X)&~patient(X))=>(curious(X)|~strong(X))))&
(![X]:(~wise(X)=>(curious(X)|~brave(X))))&
(![X]:... | ~patient(paul) | [
"p1",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5006668319453105967218293
% SZS output start Proof for 5006668319453105967218293
2. ! [X0] : (~creative(X0) <=> (creative(X0) & ~rich(X0))) [input p1]
7. ! [X0] : ((curious(X0) | ~generous(X0)) <=> (~humble(X0) & funny(X0))) [input p6]
8. ! [X0] : ((patient(X0) <~> ~curious(X0)) => (~rich... | 0 |
If someone is either not funny or not kind then someone is either creative or not kind and vice versa. Everyone who is both not happy and creative is both not creative and not happy and vice versa. If someone is either not creative or rich then alice is not wise or not kind and vice versa. If john is not humble or gene... | Fred is brave. | entailment | ((?[X]:((~funny(X)<~>~kind(X))))<=>(?[X]:((creative(X)<~>~kind(X)))))&
(![X]:((~happy(X)&creative(X))<=>(~creative(X)&~happy(X))))&
((?[X]:((~creative(X)<~>rich(X))))<=>((~wise(alice)|~kind(alice))))&
(((~humble(john)|generous(john)))=>(humble(mary)))&
(![X]:((~patient(X)<~>calm(X))<=>(kind(X)<~>calm(X))))&
((~patient(... | brave(fred) | [
"p0",
"p4",
"p6",
"p7",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8179272199425316111182349
% SZS output start Proof for 8179272199425316111182349
1. ? [X0] : (~funny(X0) <~> ~kind(X0)) <=> ? [X0] : (creative(X0) <~> ~kind(X0)) [input p0]
5. ! [X0] : ((~patient(X0) <~> calm(X0)) <=> (kind(X0) <~> calm(X0))) [input p4]
7. ! [X0] : ((~quiet(X0) & wise(X0)... | 0 |
Everyone who is strong or not tall is both creative and wise.
If someone is not wise or old then someone is either quiet or calm.
Everyone who is happy is both not tall and funny and vice versa.
Everyone who is both not patient and not tall is either brave or strong.
Everyone who is humble or not quiet is brave.
Everyo... | Mary is brave. | neutral | (![X]:((strong(X)|~tall(X))=>(creative(X)&wise(X))))&
((?[X]:((~wise(X)|old(X))))=>(?[X]:((quiet(X)<~>calm(X)))))&
(![X]:(happy(X)<=>(~tall(X)&funny(X))))&
(![X]:((~patient(X)&~tall(X))=>(brave(X)<~>strong(X))))&
(![X]:((humble(X)|~quiet(X))=>brave(X)))&
(![X]:(happy(X)<=>(wise(X)&~calm(X))))&
((?[X]:(humble(X)))<=>((~... | brave(mary) | [] | null | 0 |
If mary is both not tall and generous then paul is both generous and curious.
If susan is humble or calm then someone is both old and not curious and vice versa.
Everyone who is either rich or strong is quiet or not generous and vice versa.
Everyone who is not funny is humble or not brave.
If lucy is either not wise or... | Lucy is curious. | neutral | (((~tall(mary)&generous(mary)))=>((generous(paul)&curious(paul))))&
(((humble(susan)|calm(susan)))<=>(?[X]:((old(X)&~curious(X)))))&
(![X]:((rich(X)<~>strong(X))<=>(quiet(X)|~generous(X))))&
(![X]:(~funny(X)=>(humble(X)|~brave(X))))&
(((~wise(lucy)<~>strong(lucy)))=>((~rich(lucy)|~funny(lucy))))&
(![X]:((rich(X)|~quiet... | curious(lucy) | [] | null | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is both old and patient is both not old and not strong.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is both not quiet and tall then someone ... | Alice is not creative. | neutral | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)&patient(X))=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))&... | ~creative(alice) | [] | null | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa. Everyone who is not kind or not funny is either wise or not funny and vice versa. Everyone who is either happy or not calm is either not happy or not calm. Everyone who is not curious is not strong. If alice is quiet or not kind t... | Mary is not creative. | neutral | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((happy(X)<~>~calm(X))=>(~happy(X)<~>~calm(X))))&
(![X]:(~curious(X)=>~strong(X)))&
(((quiet(alice)|~kind(alice)))<=>((~generous(susan)<~>~rich(susan))))&
((?[X]:(~brave(X)))<=>(happy(john)))&
((~curious(j... | ~creative(mary) | [] | null | 0 |
Everyone who is either not tall or quiet is not strong or creative and vice versa.
Everyone who is both humble and not happy is calm or humble and vice versa.
If someone is curious or not wise then someone is both patient and not humble and vice versa.
If someone is both patient and happy then john is both not rich and... | Alice is not humble. | neutral | (![X]:((~tall(X)<~>quiet(X))<=>(~strong(X)|creative(X))))&
(![X]:((humble(X)&~happy(X))<=>(calm(X)|humble(X))))&
((?[X]:((curious(X)|~wise(X))))<=>(?[X]:((patient(X)&~humble(X)))))&
((?[X]:((patient(X)&happy(X))))<=>((~rich(john)&calm(john))))&
(![X]:(~rich(X)<=>(humble(X)&calm(X))))&
((?[X]:(~humble(X)))=>(?[X]:((wise... | ~humble(alice) | [] | null | 0 |
If john is strong then john is either kind or not calm.
Everyone who is either not patient or not funny is either not funny or strong.
Everyone who is both not curious and not brave is either not strong or curious.
If mary is patient then paul is not generous or wise and vice versa.
Everyone who is both not kind and ge... | Fred is not happy. | neutral | ((strong(john))=>((kind(john)<~>~calm(john))))&
(![X]:((~patient(X)<~>~funny(X))=>(~funny(X)<~>strong(X))))&
(![X]:((~curious(X)&~brave(X))=>(~strong(X)<~>curious(X))))&
((patient(mary))<=>((~generous(paul)|wise(paul))))&
(![X]:((~kind(X)&generous(X))<=>(tall(X)&~calm(X))))&
(((~calm(lucy)&~curious(lucy)))<=>((~old(ali... | ~happy(fred) | [] | null | 0 |
Everyone who is not calm or not funny is not happy or old and vice versa. If someone is both not funny and not kind then someone is either not generous or not funny. Everyone who is both not rich and not wise is either wise or not happy and vice versa. If fred is not tall or not happy then john is not patient. Everyone... | Susan is not funny. | contradiction | (![X]:((~calm(X)|~funny(X))<=>(~happy(X)|old(X))))&
((?[X]:((~funny(X)&~kind(X))))=>(?[X]:((~generous(X)<~>~funny(X)))))&
(![X]:((~rich(X)&~wise(X))<=>(wise(X)<~>~happy(X))))&
(((~tall(fred)|~happy(fred)))=>(~patient(john)))&
(![X]:((happy(X)|curious(X))<=>(curious(X)|rich(X))))&
(![X]:((~funny(X)<~>funny(X))=>(curious... | ~funny(susan) | [
"p0",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1028265251746520428208966
% SZS output start Proof for 1028265251746520428208966
1. ! [X0] : ((~funny(X0) | ~calm(X0)) <=> (old(X0) | ~happy(X0))) [input p0]
9. ! [X0] : (happy(X0) <=> (~happy(X0) | ~humble(X0))) [input p8]
12. ! [X0] : (old(X0) => funny(X0)) [input p11]
14. ! [X0] : ((ca... | 0 |
If someone is happy or tall then alice is calm and vice versa.
Everyone who is both not generous and not tall is both kind and old.
Everyone who is either not calm or not quiet is both not funny and kind.
Everyone who is either not calm or curious is both calm and not generous and vice versa.
Everyone who is not humble... | Fred is old. | contradiction | ((?[X]:((happy(X)|tall(X))))<=>(calm(alice)))&
(![X]:((~generous(X)&~tall(X))=>(kind(X)&old(X))))&
(![X]:((~calm(X)<~>~quiet(X))=>(~funny(X)&kind(X))))&
(![X]:((~calm(X)<~>curious(X))<=>(calm(X)&~generous(X))))&
(![X]:((~humble(X)|strong(X))=>(~brave(X)&~calm(X))))&
((?[X]:((calm(X)&curious(X))))<=>(?[X]:((old(X)|patie... | old(fred) | [
"p4",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5642354847950256265315870
% SZS output start Proof for 5642354847950256265315870
5. ! [X0] : ((strong(X0) | ~humble(X0)) => (~calm(X0) & ~brave(X0))) [input p4]
6. ? [X0] : (curious(X0) & calm(X0)) <=> ? [X0] : (patient(X0) | old(X0)) [input p5]
14. ! [X0] : ((~humble(X0) & tall(X0)) <=> ... | 0 |
Everyone who is old is not tall or brave. If mary is either not funny or wise then lucy is either not kind or not curious. Everyone who is wise is either tall or not tall and vice versa. Everyone who is either not old or not rich is both not curious and calm and vice versa. Everyone who is either not strong or curious ... | Fred is not strong. | neutral | (![X]:(old(X)=>(~tall(X)|brave(X))))&
(((~funny(mary)<~>wise(mary)))=>((~kind(lucy)<~>~curious(lucy))))&
(![X]:(wise(X)<=>(tall(X)<~>~tall(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(~curious(X)&calm(X))))&
(![X]:((~strong(X)<~>curious(X))<=>(calm(X)<~>happy(X))))&
(![X]:(calm(X)=>~tall(X)))&
(![X]:((~calm(X)<~>curious(X))=>... | ~strong(fred) | [] | null | 0 |
If someone is brave or old then fred is either not humble or generous.
Everyone who is both not brave and not wise is creative.
Everyone who is both creative and not patient is not tall and vice versa.
If someone is generous or not calm then susan is not strong.
If susan is both not generous and not calm then someone i... | Fred is calm. | contradiction | ((?[X]:((brave(X)|old(X))))=>((~humble(fred)<~>generous(fred))))&
(![X]:((~brave(X)&~wise(X))=>creative(X)))&
(![X]:((creative(X)&~patient(X))<=>~tall(X)))&
((?[X]:((generous(X)|~calm(X))))=>(~strong(susan)))&
(((~generous(susan)&~calm(susan)))<=>(?[X]:((humble(X)|~happy(X)))))&
(![X]:((tall(X)<~>happy(X))<=>happy(X)))... | calm(fred) | [
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1474805650809338160959480
% SZS output start Proof for 1474805650809338160959480
3. ! [X0] : ((~patient(X0) & creative(X0)) <=> ~tall(X0)) [input p2]
6. ! [X0] : ((tall(X0) <~> happy(X0)) <=> happy(X0)) [input p5]
10. ! [X0] : ((patient(X0) | calm(X0)) => (~patient(X0) <~> calm(X0))) [inp... | 0 |
Everyone who is not generous is both not funny and not rich.
If mary is either not quiet or not brave then someone is either wise or not funny.
Everyone who is both humble and strong is both old and not humble and vice versa.
Everyone who is not generous or not tall is not wise or old and vice versa.
Everyone who is no... | Lucy is not wise. | entailment | (![X]:(~generous(X)=>(~funny(X)&~rich(X))))&
(((~quiet(mary)<~>~brave(mary)))=>(?[X]:((wise(X)<~>~funny(X)))))&
(![X]:((humble(X)&strong(X))<=>(old(X)&~humble(X))))&
(![X]:((~generous(X)|~tall(X))<=>(~wise(X)|old(X))))&
(![X]:((~kind(X)|brave(X))=>(~strong(X)<~>~brave(X))))&
(![X]:(~calm(X)=>(~calm(X)&wise(X))))&
(![X]... | ~wise(lucy) | [
"p2",
"p3",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8383148212277761365413439
% SZS output start Proof for 8383148212277761365413439
3. ! [X0] : ((strong(X0) & humble(X0)) <=> (~humble(X0) & old(X0))) [input p2]
4. ! [X0] : ((~tall(X0) | ~generous(X0)) <=> (old(X0) | ~wise(X0))) [input p3]
6. ! [X0] : (~calm(X0) => (wise(X0) & ~calm(X0))) ... | 0 |
If lucy is not rich or tall then someone is both patient and not curious.
Everyone who is both kind and not kind is either not humble or rich and vice versa.
Everyone who is kind or not wise is not wise or quiet.
If someone is creative then fred is either calm or not old and vice versa.
Everyone who is not happy or not... | Alice is not humble. | contradiction | (((~rich(lucy)|tall(lucy)))=>(?[X]:((patient(X)&~curious(X)))))&
(![X]:((kind(X)&~kind(X))<=>(~humble(X)<~>rich(X))))&
(![X]:((kind(X)|~wise(X))=>(~wise(X)|quiet(X))))&
((?[X]:(creative(X)))<=>((calm(fred)<~>~old(fred))))&
(![X]:((~happy(X)|~tall(X))=>~tall(X)))&
((~patient(lucy))<=>(?[X]:((~kind(X)<~>~humble(X)))))&
(... | ~humble(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7886724232344129275539424
% SZS output start Proof for 7886724232344129275539424
20. ~strong(alice) & humble(alice) [input p19]
25. ~humble(alice) [input hypothesis]
146. humble(alice) [cnf transformation 20]
152. ~humble(alice) [cnf transformation 25]
361. $false [subsumption resolution ... | 0 |
If fred is calm then someone is not curious or not happy.
Everyone who is not curious is calm.
If someone is either brave or kind then someone is patient or not kind and vice versa.
Everyone who is generous or not funny is both funny and kind and vice versa.
Everyone who is calm is either tall or not humble and vice ve... | Mary is not generous. | entailment | ((calm(fred))=>(?[X]:((~curious(X)|~happy(X)))))&
(![X]:(~curious(X)=>calm(X)))&
((?[X]:((brave(X)<~>kind(X))))<=>(?[X]:((patient(X)|~kind(X)))))&
(![X]:((generous(X)|~funny(X))<=>(funny(X)&kind(X))))&
(![X]:(calm(X)<=>(tall(X)<~>~humble(X))))&
(((~quiet(susan)&~patient(susan)))<=>(?[X]:((generous(X)|humble(X)))))&
(![... | ~generous(mary) | [
"p3",
"p5",
"p6",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4245156411905473874395058
% SZS output start Proof for 4245156411905473874395058
4. ! [X0] : ((~funny(X0) | generous(X0)) <=> (kind(X0) & funny(X0))) [input p3]
6. (~patient(susan) & ~quiet(susan)) <=> ? [X0] : (humble(X0) | generous(X0)) [input p5]
7. ! [X0] : ((kind(X0) | old(X0)) <=> (... | 0 |
If paul is wise then someone is both not brave and quiet and vice versa. Everyone who is kind is not happy and vice versa. Everyone who is quiet is both old and not tall. If someone is not humble then fred is not wise. Everyone who is either brave or not old is either patient or not creative and vice versa. If susan is... | Paul is not quiet. | entailment | ((wise(paul))<=>(?[X]:((~brave(X)&quiet(X)))))&
(![X]:(kind(X)<=>~happy(X)))&
(![X]:(quiet(X)=>(old(X)&~tall(X))))&
((?[X]:(~humble(X)))=>(~wise(fred)))&
(![X]:((brave(X)<~>~old(X))<=>(patient(X)<~>~creative(X))))&
(((~creative(susan)|~wise(susan)))<=>(?[X]:((~old(X)&strong(X)))))&
((?[X]:((~generous(X)|~brave(X))))<=>... | ~quiet(paul) | [
"p1",
"p2",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1843520628204833946480899
% SZS output start Proof for 1843520628204833946480899
2. ! [X0] : (kind(X0) <=> ~happy(X0)) [input p1]
3. ! [X0] : (quiet(X0) => (~tall(X0) & old(X0))) [input p2]
7. ? [X0] : (~brave(X0) | ~generous(X0)) <=> ~quiet(paul) [input p6]
11. ? [X0] : (quiet(X0) & ~tal... | 0 |
If paul is either not funny or humble then alice is both not creative and strong.
Everyone who is not tall is both not quiet and creative.
If susan is not tall or brave then fred is brave or not creative.
If lucy is both not brave and creative then someone is either not brave or calm and vice versa.
If someone is rich ... | Fred is not tall. | contradiction | (((~funny(paul)<~>humble(paul)))=>((~creative(alice)&strong(alice))))&
(![X]:(~tall(X)=>(~quiet(X)&creative(X))))&
(((~tall(susan)|brave(susan)))=>((brave(fred)|~creative(fred))))&
(((~brave(lucy)&creative(lucy)))<=>(?[X]:((~brave(X)<~>calm(X)))))&
((?[X]:(rich(X)))<=>((~brave(lucy)<~>~kind(lucy))))&
((?[X]:((generous(... | ~tall(fred) | [
"p1",
"p3",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 271321437373568004814009
% SZS output start Proof for 271321437373568004814009
2. ! [X0] : (~tall(X0) => (creative(X0) & ~quiet(X0))) [input p1]
4. (creative(lucy) & ~brave(lucy)) <=> ? [X0] : (~brave(X0) <~> calm(X0)) [input p3]
11. ! [X0] : ((strong(X0) | ~brave(X0)) <=> (~quiet(X0) & b... | 0 |
If john is both not rich and not happy then fred is either curious or not curious.
If lucy is humble or not creative then someone is both humble and not rich and vice versa.
Everyone who is both strong and not old is both not brave and not creative.
If fred is not tall then alice is both not rich and calm.
Everyone who... | Susan is strong. | neutral | (((~rich(john)&~happy(john)))=>((curious(fred)<~>~curious(fred))))&
(((humble(lucy)|~creative(lucy)))<=>(?[X]:((humble(X)&~rich(X)))))&
(![X]:((strong(X)&~old(X))=>(~brave(X)&~creative(X))))&
((~tall(fred))=>((~rich(alice)&calm(alice))))&
(![X]:(brave(X)=>(~funny(X)<~>~kind(X))))&
(![X]:((~quiet(X)<~>~patient(X))<=>~ol... | strong(susan) | [] | null | 0 |
Everyone who is both not old and generous is both generous and happy and vice versa. Everyone who is not old or not patient is wise. If someone is both brave and wise then someone is both not calm and not brave and vice versa. If lucy is both humble and quiet then someone is both kind and calm and vice versa. Everyone ... | Mary is kind. | neutral | (![X]:((~old(X)&generous(X))<=>(generous(X)&happy(X))))&
(![X]:((~old(X)|~patient(X))=>wise(X)))&
((?[X]:((brave(X)&wise(X))))<=>(?[X]:((~calm(X)&~brave(X)))))&
(((humble(lucy)&quiet(lucy)))<=>(?[X]:((kind(X)&calm(X)))))&
(![X]:((~funny(X)|~generous(X))<=>(humble(X)&~calm(X))))&
(![X]:((tall(X)|~humble(X))=>~patient(X)... | kind(mary) | [] | null | 0 |
Everyone who is brave or calm is both not tall and old and vice versa.
Everyone who is both not humble and generous is either brave or not strong and vice versa.
If lucy is both not old and patient then fred is wise or not generous.
If susan is not curious or strong then someone is either not humble or old and vice ver... | Lucy is not curious. | neutral | (![X]:((brave(X)|calm(X))<=>(~tall(X)&old(X))))&
(![X]:((~humble(X)&generous(X))<=>(brave(X)<~>~strong(X))))&
(((~old(lucy)&patient(lucy)))=>((wise(fred)|~generous(fred))))&
(((~curious(susan)|strong(susan)))<=>(?[X]:((~humble(X)<~>old(X)))))&
((?[X]:((brave(X)&tall(X))))=>(?[X]:((funny(X)<~>happy(X)))))&
(![X]:((happy... | ~curious(lucy) | [] | null | 0 |
Everyone who is humble is kind. Everyone who is both kind and quiet is not strong. Everyone who is tall is both strong and not curious. Everyone who is either not tall or not curious is either not brave or not funny. Everyone who is either not patient or calm is brave or not rich and vice versa. If someone is both curi... | Mary is not quiet. | contradiction | (![X]:(humble(X)=>kind(X)))&
(![X]:((kind(X)&quiet(X))=>~strong(X)))&
(![X]:(tall(X)=>(strong(X)&~curious(X))))&
(![X]:((~tall(X)<~>~curious(X))=>(~brave(X)<~>~funny(X))))&
(![X]:((~patient(X)<~>calm(X))<=>(brave(X)|~rich(X))))&
((?[X]:((curious(X)&~tall(X))))<=>(?[X]:((rich(X)|~kind(X)))))&
(![X]:((wise(X)&~old(X))<=>... | ~quiet(mary) | [
"p2",
"p3",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7945576259428938432840764
% SZS output start Proof for 7945576259428938432840764
3. ! [X0] : (tall(X0) => (~curious(X0) & strong(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> ~curious(X0)) => (~brave(X0) <~> ~funny(X0))) [input p3]
6. ? [X0] : (~tall(X0) & curious(X0)) <=> ? [X0] : (~kind(... | 0 |
If paul is funny or humble then lucy is both not generous and not strong and vice versa.
If someone is old then john is either not happy or brave.
If someone is both humble and not generous then john is old or curious and vice versa.
If someone is either not humble or generous then someone is not kind or calm and vice ... | John is old. | entailment | (((funny(paul)|humble(paul)))<=>((~generous(lucy)&~strong(lucy))))&
((?[X]:(old(X)))=>((~happy(john)<~>brave(john))))&
((?[X]:((humble(X)&~generous(X))))<=>((old(john)|curious(john))))&
((?[X]:((~humble(X)<~>generous(X))))<=>(?[X]:((~kind(X)|calm(X)))))&
(((happy(fred)&patient(fred)))=>(?[X]:((calm(X)|happy(X)))))&
(![... | old(john) | [
"p6",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7805046752977358511857985
% SZS output start Proof for 7805046752977358511857985
7. ! [X0] : (~calm(X0) => (~curious(X0) | ~quiet(X0))) [input p6]
14. ! [X0] : ((funny(X0) & quiet(X0)) <=> (calm(X0) | ~strong(X0))) [input p13]
16. ! [X0] : ((old(X0) & ~kind(X0)) <=> ~curious(X0)) [input p... | 0 |
Everyone who is wise or quiet is both not tall and humble and vice versa.
Everyone who is both quiet and not brave is either not funny or brave and vice versa.
Everyone who is either funny or rich is happy.
If someone is not funny then someone is either not calm or not patient.
If mary is both happy and funny then some... | Susan is not calm. | contradiction | (![X]:((wise(X)|quiet(X))<=>(~tall(X)&humble(X))))&
(![X]:((quiet(X)&~brave(X))<=>(~funny(X)<~>brave(X))))&
(![X]:((funny(X)<~>rich(X))=>happy(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~calm(X)<~>~patient(X)))))&
(((happy(mary)&funny(mary)))<=>(?[X]:((~kind(X)&creative(X)))))&
(![X]:((calm(X)<~>old(X))<=>(~patient(X)&patient(... | ~calm(susan) | [
"p0",
"p5",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4522460383446837303103553
% SZS output start Proof for 4522460383446837303103553
1. ! [X0] : ((quiet(X0) | wise(X0)) <=> (humble(X0) & ~tall(X0))) [input p0]
6. ! [X0] : ((calm(X0) <~> old(X0)) <=> (patient(X0) & ~patient(X0))) [input p5]
12. ! [X0] : (~old(X0) => (~wise(X0) & quiet(X0)))... | 0 |
If someone is not rich then john is either patient or not happy.
If mary is wise then susan is either not old or not wise and vice versa.
If mary is tall then someone is not rich or not tall.
Everyone who is not humble or tall is brave or not kind.
If someone is either quiet or not wise then john is either not brave or... | Paul is not brave. | contradiction | ((?[X]:(~rich(X)))=>((patient(john)<~>~happy(john))))&
((wise(mary))<=>((~old(susan)<~>~wise(susan))))&
((tall(mary))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((~humble(X)|tall(X))=>(brave(X)|~kind(X))))&
((?[X]:((quiet(X)<~>~wise(X))))<=>((~brave(john)<~>calm(john))))&
(![X]:((generous(X)|creative(X))=>(~quiet(X)&~rich(X... | ~brave(paul) | [
"p5",
"p6",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8395267263492743990849333
% SZS output start Proof for 8395267263492743990849333
6. ! [X0] : ((creative(X0) | generous(X0)) => (~rich(X0) & ~quiet(X0))) [input p5]
7. ! [X0] : ((~rich(X0) | ~strong(X0)) => (~patient(X0) & generous(X0))) [input p6]
13. ? [X0] : (~wise(X0) <~> ~quiet(X0)) =... | 0 |
If someone is not funny or not generous then someone is either strong or old.
Everyone who is kind is either old or not brave and vice versa.
Everyone who is either funny or wise is either not kind or not strong.
Everyone who is kind is rich or not tall.
If mary is not kind then someone is not creative and vice versa.
... | Susan is patient. | entailment | ((?[X]:((~funny(X)|~generous(X))))=>(?[X]:((strong(X)<~>old(X)))))&
(![X]:(kind(X)<=>(old(X)<~>~brave(X))))&
(![X]:((funny(X)<~>wise(X))=>(~kind(X)<~>~strong(X))))&
(![X]:(kind(X)=>(rich(X)|~tall(X))))&
((~kind(mary))<=>(?[X]:(~creative(X))))&
(![X]:(~generous(X)=>(creative(X)|kind(X))))&
(![X]:((~creative(X)|~quiet(X)... | patient(susan) | [
"p7",
"p8",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3603083226349343985630704
% SZS output start Proof for 3603083226349343985630704
8. ! [X0] : ((~patient(X0) <~> ~curious(X0)) <=> (~patient(X0) <~> rich(X0))) [input p7]
9. ! [X0] : ((~quiet(X0) <~> ~patient(X0)) <=> curious(X0)) [input p8]
11. ? [X0] : (calm(X0) | ~patient(X0)) => (quiet... | 0 |
If someone is old then someone is either not strong or tall and vice versa.
If someone is both generous and not tall then susan is tall or not kind and vice versa.
If john is both kind and strong then lucy is either not funny or strong and vice versa.
Everyone who is happy is not generous and vice versa.
Everyone who i... | Alice is tall. | neutral | ((?[X]:(old(X)))<=>(?[X]:((~strong(X)<~>tall(X)))))&
((?[X]:((generous(X)&~tall(X))))<=>((tall(susan)|~kind(susan))))&
(((kind(john)&strong(john)))<=>((~funny(lucy)<~>strong(lucy))))&
(![X]:(happy(X)<=>~generous(X)))&
(![X]:((happy(X)&patient(X))=>(funny(X)<~>~calm(X))))&
((?[X]:((~funny(X)|~creative(X))))<=>(?[X]:((~w... | tall(alice) | [] | null | 0 |
Everyone who is both curious and not old is not humble.
Everyone who is either not creative or creative is both generous and curious and vice versa.
If someone is both generous and not funny then john is not generous and vice versa.
If someone is both strong and not strong then paul is not wise and vice versa.
Everyone... | Alice is strong. | entailment | (![X]:((curious(X)&~old(X))=>~humble(X)))&
(![X]:((~creative(X)<~>creative(X))<=>(generous(X)&curious(X))))&
((?[X]:((generous(X)&~funny(X))))<=>(~generous(john)))&
((?[X]:((strong(X)&~strong(X))))<=>(~wise(paul)))&
(![X]:((rich(X)<~>~brave(X))<=>(patient(X)|~tall(X))))&
(![X]:((~creative(X)&~patient(X))=>(~humble(X)|~... | strong(alice) | [
"p1",
"p2",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1872483514318830871216626
% SZS output start Proof for 1872483514318830871216626
2. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> (curious(X0) & generous(X0))) [input p1]
3. ? [X0] : (~funny(X0) & generous(X0)) <=> ~generous(john) [input p2]
8. ? [X0] : ~funny(X0) <=> (~patient(alice) | ... | 0 |
If mary is either not brave or not happy then someone is either not funny or not humble and vice versa. Everyone who is not humble or not curious is not tall and vice versa. If someone is both not funny and not happy then fred is either not creative or patient and vice versa. Everyone who is both creative and not brave... | Lucy is not wise. | entailment | (((~brave(mary)<~>~happy(mary)))<=>(?[X]:((~funny(X)<~>~humble(X)))))&
(![X]:((~humble(X)|~curious(X))<=>~tall(X)))&
((?[X]:((~funny(X)&~happy(X))))<=>((~creative(fred)<~>patient(fred))))&
(![X]:((creative(X)&~brave(X))<=>(strong(X)|~kind(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((creative(X)&~kind(X)))))&
(![X]:((~quiet(X)|k... | ~wise(lucy) | [
"p5",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5172406018080280836484497
% SZS output start Proof for 5172406018080280836484497
6. ! [X0] : ((kind(X0) | ~quiet(X0)) => quiet(X0)) [input p5]
11. ? [X0] : strong(X0) <=> (funny(fred) & ~patient(fred)) [input p10]
13. ! [X0] : (funny(X0) <=> ~quiet(X0)) [input p12]
14. ! [X0] : ((~quiet(X... | 0 |
Everyone who is either quiet or creative is happy or not generous. Everyone who is rich or wise is not creative or happy and vice versa. Everyone who is either not patient or not brave is creative or not tall. Everyone who is funny is not quiet or rich and vice versa. If lucy is wise then someone is both wise and not p... | Mary is tall. | entailment | (![X]:((quiet(X)<~>creative(X))=>(happy(X)|~generous(X))))&
(![X]:((rich(X)|wise(X))<=>(~creative(X)|happy(X))))&
(![X]:((~patient(X)<~>~brave(X))=>(creative(X)|~tall(X))))&
(![X]:(funny(X)<=>(~quiet(X)|rich(X))))&
((wise(lucy))=>(?[X]:((wise(X)&~patient(X)))))&
(![X]:((happy(X)|~calm(X))<=>(~strong(X)&humble(X))))&
(!... | tall(mary) | [
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1751492098233277995734312
% SZS output start Proof for 1751492098233277995734312
7. ! [X0] : ((~brave(X0) | tall(X0)) <=> (rich(X0) <~> ~curious(X0))) [input p6]
8. ! [X0] : ((tall(X0) | rich(X0)) <=> (~curious(X0) <~> happy(X0))) [input p7]
15. ! [X0] : (~happy(X0) <=> ~brave(X0)) [input... | 0 |
If fred is tall or quiet then someone is not wise and vice versa.
Everyone who is either tall or not creative is either kind or not tall and vice versa.
If mary is not rich then mary is either not old or not creative and vice versa.
Everyone who is not patient is strong.
If someone is not patient or not strong then joh... | Lucy is not brave. | entailment | (((tall(fred)|quiet(fred)))<=>(?[X]:(~wise(X))))&
(![X]:((tall(X)<~>~creative(X))<=>(kind(X)<~>~tall(X))))&
((~rich(mary))<=>((~old(mary)<~>~creative(mary))))&
(![X]:(~patient(X)=>strong(X)))&
((?[X]:((~patient(X)|~strong(X))))=>(quiet(john)))&
(![X]:(old(X)<=>(wise(X)<~>old(X))))&
(![X]:(wise(X)=>(~wise(X)<~>brave(X))... | ~brave(lucy) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 136214636423600262926508
% SZS output start Proof for 136214636423600262926508
4. ! [X0] : (~patient(X0) => strong(X0)) [input p3]
15. brave(lucy) => ? [X0] : (~patient(X0) & ~strong(X0)) [input p14]
24. brave(lucy) [input hypothesis]
31. ! [X0] : (strong(X0) | patient(X0)) [ennf transfor... | 0 |
Everyone who is not strong or funny is both not tall and creative and vice versa.
Everyone who is both brave and not kind is not generous and vice versa.
If alice is both wise and not happy then alice is quiet or kind.
If fred is curious then someone is both not happy and not brave.
Everyone who is not tall is happy.
E... | Alice is not old. | contradiction | (![X]:((~strong(X)|funny(X))<=>(~tall(X)&creative(X))))&
(![X]:((brave(X)&~kind(X))<=>~generous(X)))&
(((wise(alice)&~happy(alice)))=>((quiet(alice)|kind(alice))))&
((curious(fred))=>(?[X]:((~happy(X)&~brave(X)))))&
(![X]:(~tall(X)=>happy(X)))&
(![X]:((happy(X)<~>~funny(X))<=>(rich(X)<~>~kind(X))))&
(![X]:(funny(X)<=>(... | ~old(alice) | [
"p0",
"p4",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2522750104487804639505103
% SZS output start Proof for 2522750104487804639505103
1. ! [X0] : ((funny(X0) | ~strong(X0)) <=> (creative(X0) & ~tall(X0))) [input p0]
5. ! [X0] : (~tall(X0) => happy(X0)) [input p4]
7. ! [X0] : (funny(X0) <=> (~curious(X0) | quiet(X0))) [input p6]
12. ! [X0] :... | 0 |
Everyone who is either not creative or humble is not strong or not patient and vice versa.
Everyone who is either patient or kind is either strong or happy.
Everyone who is either wise or happy is happy.
If someone is not rich or kind then lucy is curious and vice versa.
Everyone who is either not strong or not quiet i... | John is not funny. | contradiction | (![X]:((~creative(X)<~>humble(X))<=>(~strong(X)|~patient(X))))&
(![X]:((patient(X)<~>kind(X))=>(strong(X)<~>happy(X))))&
(![X]:((wise(X)<~>happy(X))=>happy(X)))&
((?[X]:((~rich(X)|kind(X))))<=>(curious(lucy)))&
(![X]:((~strong(X)<~>~quiet(X))<=>~rich(X)))&
((?[X]:((curious(X)|~wise(X))))=>(?[X]:(~rich(X))))&
(![X]:(~cu... | ~funny(john) | [
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6234366373068406075874612
% SZS output start Proof for 6234366373068406075874612
12. generous(fred) <=> funny(john) [input p11]
13. ! [X0] : (~strong(X0) <=> (~generous(X0) | creative(X0))) [input p12]
15. ! [X0] : ((~old(X0) & strong(X0)) <=> (~generous(X0) | ~happy(X0))) [input p14]
25.... | 0 |
Everyone who is not strong or old is not tall.
Everyone who is not funny or kind is both old and not happy.
Everyone who is brave or not tall is calm and vice versa.
Everyone who is brave is not calm or calm.
If lucy is not brave or wise then lucy is tall or generous.
Everyone who is not strong is not wise or quiet and... | Alice is old. | entailment | (![X]:((~strong(X)|old(X))=>~tall(X)))&
(![X]:((~funny(X)|kind(X))=>(old(X)&~happy(X))))&
(![X]:((brave(X)|~tall(X))<=>calm(X)))&
(![X]:(brave(X)=>(~calm(X)|calm(X))))&
(((~brave(lucy)|wise(lucy)))=>((tall(lucy)|generous(lucy))))&
(![X]:(~strong(X)<=>(~wise(X)|quiet(X))))&
((?[X]:((~curious(X)|~old(X))))<=>((wise(alice... | old(alice) | [
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6771031326598000386974417
% SZS output start Proof for 6771031326598000386974417
2. ! [X0] : ((kind(X0) | ~funny(X0)) => (~happy(X0) & old(X0))) [input p1]
15. ! [X0] : ((~kind(X0) | ~happy(X0)) <=> old(X0)) [input p14]
23. ~old(alice) [input hypothesis]
26. ! [X0] : ((~happy(X0) & old(X0... | 0 |
Everyone who is not generous or not curious is both not curious and kind and vice versa.
If someone is patient then someone is both not old and kind and vice versa.
If fred is not wise or old then someone is either quiet or not wise.
Everyone who is either not wise or not brave is either not quiet or humble and vice ve... | John is not humble. | neutral | (![X]:((~generous(X)|~curious(X))<=>(~curious(X)&kind(X))))&
((?[X]:(patient(X)))<=>(?[X]:((~old(X)&kind(X)))))&
(((~wise(fred)|old(fred)))=>(?[X]:((quiet(X)<~>~wise(X)))))&
(![X]:((~wise(X)<~>~brave(X))<=>(~quiet(X)<~>humble(X))))&
(![X]:((curious(X)|~rich(X))=>(wise(X)|~humble(X))))&
(![X]:((tall(X)|~patient(X))=>(st... | ~humble(john) | [] | null | 0 |
Everyone who is either not curious or quiet is calm or not old and vice versa. Everyone who is both wise and old is not calm or not creative and vice versa. Everyone who is patient or not calm is both curious and not funny and vice versa. If lucy is not humble then someone is rich or not strong and vice versa. If someo... | John is not quiet. | neutral | (![X]:((~curious(X)<~>quiet(X))<=>(calm(X)|~old(X))))&
(![X]:((wise(X)&old(X))<=>(~calm(X)|~creative(X))))&
(![X]:((patient(X)|~calm(X))<=>(curious(X)&~funny(X))))&
((~humble(lucy))<=>(?[X]:((rich(X)|~strong(X)))))&
((?[X]:((~curious(X)<~>funny(X))))<=>(?[X]:((patient(X)|quiet(X)))))&
(![X]:((~wise(X)|~funny(X))=>humbl... | ~quiet(john) | [] | null | 0 |
If someone is both generous and not wise then someone is both generous and not calm.
If someone is not rich or not brave then someone is curious.
Everyone who is brave is both humble and not old.
Everyone who is rich or not strong is both not generous and rich and vice versa.
If someone is either not brave or humble th... | Mary is rich. | neutral | ((?[X]:((generous(X)&~wise(X))))=>(?[X]:((generous(X)&~calm(X)))))&
((?[X]:((~rich(X)|~brave(X))))=>(?[X]:(curious(X))))&
(![X]:(brave(X)=>(humble(X)&~old(X))))&
(![X]:((rich(X)|~strong(X))<=>(~generous(X)&rich(X))))&
((?[X]:((~brave(X)<~>humble(X))))=>(?[X]:(~happy(X))))&
(![X]:((~creative(X)|generous(X))=>(~calm(X)&c... | rich(mary) | [] | null | 0 |
If john is not brave then someone is both not quiet and not patient and vice versa. Everyone who is not patient or not quiet is either brave or happy and vice versa. Everyone who is calm or creative is both not kind and old and vice versa. If someone is brave then someone is kind. Everyone who is both patient and tall ... | Alice is tall. | neutral | ((~brave(john))<=>(?[X]:((~quiet(X)&~patient(X)))))&
(![X]:((~patient(X)|~quiet(X))<=>(brave(X)<~>happy(X))))&
(![X]:((calm(X)|creative(X))<=>(~kind(X)&old(X))))&
((?[X]:(brave(X)))=>(?[X]:(kind(X))))&
(![X]:((patient(X)&tall(X))=>(~brave(X)&~strong(X))))&
(![X]:((~old(X)<~>~curious(X))=>tall(X)))&
((~quiet(fred))<=>((... | tall(alice) | [] | null | 0 |
Everyone who is both not creative and not rich is tall and vice versa.
Everyone who is both wise and brave is either not wise or not kind.
Everyone who is either old or not old is not happy or creative and vice versa.
If someone is tall or funny then susan is kind.
Everyone who is both patient and kind is either strong... | Fred is not kind. | contradiction | (![X]:((~creative(X)&~rich(X))<=>tall(X)))&
(![X]:((wise(X)&brave(X))=>(~wise(X)<~>~kind(X))))&
(![X]:((old(X)<~>~old(X))<=>(~happy(X)|creative(X))))&
((?[X]:((tall(X)|funny(X))))=>(kind(susan)))&
(![X]:((patient(X)&kind(X))=>(strong(X)<~>wise(X))))&
(![X]:(rich(X)=>(~rich(X)&~brave(X))))&
(![X]:((kind(X)&curious(X))=>... | ~kind(fred) | [
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6444817284259562665592384
% SZS output start Proof for 6444817284259562665592384
9. (~patient(fred) & kind(fred)) <=> ? [X0] : curious(X0) [input p8]
20. curious(lucy) [input p19]
24. ~kind(fred) [input hypothesis]
45. ((~patient(fred) & kind(fred)) | ! [X0] : ~curious(X0)) & (? [X0] : cu... | 0 |
Everyone who is both not quiet and not strong is not wise and vice versa. Everyone who is either not rich or not quiet is both brave and curious. Everyone who is creative or patient is either not quiet or not brave and vice versa. Everyone who is not generous is not kind or not creative and vice versa. Everyone who is ... | John is not calm. | contradiction | (![X]:((~quiet(X)&~strong(X))<=>~wise(X)))&
(![X]:((~rich(X)<~>~quiet(X))=>(brave(X)&curious(X))))&
(![X]:((creative(X)|patient(X))<=>(~quiet(X)<~>~brave(X))))&
(![X]:(~generous(X)<=>(~kind(X)|~creative(X))))&
(![X]:((~patient(X)<~>~creative(X))<=>creative(X)))&
(![X]:((curious(X)&~quiet(X))<=>wise(X)))&
(![X]:((~rich(... | ~calm(john) | [
"p0",
"p1",
"p5",
"p6",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8099519289155501441382787
% SZS output start Proof for 8099519289155501441382787
1. ! [X0] : ((~strong(X0) & ~quiet(X0)) <=> ~wise(X0)) [input p0]
2. ! [X0] : ((~rich(X0) <~> ~quiet(X0)) => (curious(X0) & brave(X0))) [input p1]
6. ! [X0] : ((~quiet(X0) & curious(X0)) <=> wise(X0)) [input ... | 0 |
Everyone who is tall or kind is curious or tall.
Everyone who is kind or not rich is quiet or not funny.
Everyone who is either happy or not calm is either not wise or rich and vice versa.
If someone is strong or curious then someone is creative.
Everyone who is not patient or brave is either not patient or not funny a... | Lucy is curious. | neutral | (![X]:((tall(X)|kind(X))=>(curious(X)|tall(X))))&
(![X]:((kind(X)|~rich(X))=>(quiet(X)|~funny(X))))&
(![X]:((happy(X)<~>~calm(X))<=>(~wise(X)<~>rich(X))))&
((?[X]:((strong(X)|curious(X))))=>(?[X]:(creative(X))))&
(![X]:((~patient(X)|brave(X))<=>(~patient(X)<~>~funny(X))))&
(((old(lucy)<~>wise(lucy)))<=>(?[X]:((~old(X)|... | curious(lucy) | [] | null | 0 |
If paul is humble or not wise then lucy is strong or not happy and vice versa.
If alice is either old or rich then someone is old or not strong and vice versa.
Everyone who is not calm is not strong and vice versa.
Everyone who is either not quiet or rich is not quiet.
Everyone who is curious is both not old and old.
E... | Paul is tall. | contradiction | (((humble(paul)|~wise(paul)))<=>((strong(lucy)|~happy(lucy))))&
(((old(alice)<~>rich(alice)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:(~calm(X)<=>~strong(X)))&
(![X]:((~quiet(X)<~>rich(X))=>~quiet(X)))&
(![X]:(curious(X)=>(~old(X)&old(X))))&
(![X]:(patient(X)=>(~brave(X)&~tall(X))))&
(((tall(paul)<~>creative(paul)))=>((... | tall(paul) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3145084735145735579913890
% SZS output start Proof for 3145084735145735579913890
6. ! [X0] : (patient(X0) => (~tall(X0) & ~brave(X0))) [input p5]
8. ! [X0] : ((generous(X0) & patient(X0)) <=> tall(X0)) [input p7]
24. tall(paul) [input hypothesis]
28. ! [X0] : ((~tall(X0) & ~brave(X0)) | ~... | 0 |
Everyone who is either not generous or not creative is not quiet and vice versa.
Everyone who is both not tall and humble is generous or calm.
Everyone who is not kind or old is either not rich or curious.
Everyone who is happy is either not strong or curious and vice versa.
Everyone who is not curious or kind is eithe... | Susan is not happy. | contradiction | (![X]:((~generous(X)<~>~creative(X))<=>~quiet(X)))&
(![X]:((~tall(X)&humble(X))=>(generous(X)|calm(X))))&
(![X]:((~kind(X)|old(X))=>(~rich(X)<~>curious(X))))&
(![X]:(happy(X)<=>(~strong(X)<~>curious(X))))&
(![X]:((~curious(X)|kind(X))=>(~patient(X)<~>~rich(X))))&
(![X]:(strong(X)<=>(~funny(X)&wise(X))))&
((?[X]:((creat... | ~happy(susan) | [
"p5",
"p11",
"p12",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2983778602520584932663040
% SZS output start Proof for 2983778602520584932663040
6. ! [X0] : (strong(X0) <=> (wise(X0) & ~funny(X0))) [input p5]
12. ! [X0] : (happy(X0) <=> (~strong(X0) <~> patient(X0))) [input p11]
13. ! [X0] : ((tall(X0) & creative(X0)) <=> (~creative(X0) | funny(X0))) ... | 0 |
Everyone who is either strong or not patient is strong and vice versa. If someone is either not funny or curious then someone is not wise or tall and vice versa. If someone is either strong or not quiet then someone is both wise and not patient. If alice is curious then someone is not funny. If john is not old then luc... | Paul is not generous. | contradiction | (![X]:((strong(X)<~>~patient(X))<=>strong(X)))&
((?[X]:((~funny(X)<~>curious(X))))<=>(?[X]:((~wise(X)|tall(X)))))&
((?[X]:((strong(X)<~>~quiet(X))))=>(?[X]:((wise(X)&~patient(X)))))&
((curious(alice))=>(?[X]:(~funny(X))))&
((~old(john))=>((~humble(lucy)|patient(lucy))))&
(((~kind(john)<~>~calm(john)))=>((~calm(lucy)&~g... | ~generous(paul) | [
"p0",
"p2",
"p6",
"p7",
"p10",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1458114120693819921689491
% SZS output start Proof for 1458114120693819921689491
1. ! [X0] : ((strong(X0) <~> ~patient(X0)) <=> strong(X0)) [input p0]
3. ? [X0] : (strong(X0) <~> ~quiet(X0)) => ? [X0] : (~patient(X0) & wise(X0)) [input p2]
7. ! [X0] : ((tall(X0) & ~tall(X0)) <=> (~kind(X0... | 0 |
Everyone who is wise or old is both not kind and not creative.
Everyone who is both not kind and not old is either quiet or not funny.
Everyone who is either tall or old is both tall and not creative.
Everyone who is not generous is not creative.
If someone is quiet then someone is generous.
Everyone who is either not ... | John is humble. | entailment | (![X]:((wise(X)|old(X))=>(~kind(X)&~creative(X))))&
(![X]:((~kind(X)&~old(X))=>(quiet(X)<~>~funny(X))))&
(![X]:((tall(X)<~>old(X))=>(tall(X)&~creative(X))))&
(![X]:(~generous(X)=>~creative(X)))&
((?[X]:(quiet(X)))=>(?[X]:(generous(X))))&
(![X]:((~rich(X)<~>humble(X))<=>(tall(X)|~old(X))))&
(((kind(paul)|~patient(paul))... | humble(john) | [
"p0",
"p3",
"p5",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7181626000880069869339969
% SZS output start Proof for 7181626000880069869339969
1. ! [X0] : ((old(X0) | wise(X0)) => (~creative(X0) & ~kind(X0))) [input p0]
4. ! [X0] : (~generous(X0) => ~creative(X0)) [input p3]
6. ! [X0] : ((~rich(X0) <~> humble(X0)) <=> (~old(X0) | tall(X0))) [input p... | 0 |
Everyone who is both not old and brave is not strong or not quiet and vice versa.
If someone is wise or kind then someone is either not tall or not wise.
Everyone who is either brave or quiet is not funny.
Everyone who is both not old and wise is happy or not curious.
If someone is humble or not curious then someone is... | Lucy is not rich. | neutral | (![X]:((~old(X)&brave(X))<=>(~strong(X)|~quiet(X))))&
((?[X]:((wise(X)|kind(X))))=>(?[X]:((~tall(X)<~>~wise(X)))))&
(![X]:((brave(X)<~>quiet(X))=>~funny(X)))&
(![X]:((~old(X)&wise(X))=>(happy(X)|~curious(X))))&
((?[X]:((humble(X)|~curious(X))))<=>(?[X]:(~generous(X))))&
((calm(alice))=>(?[X]:((brave(X)<~>~strong(X)))))... | ~rich(lucy) | [] | null | 0 |
If mary is both wise and curious then fred is either not generous or generous and vice versa.
If lucy is not kind then john is generous and vice versa.
If fred is brave then someone is both not calm and humble and vice versa.
If someone is either kind or not strong then lucy is funny or not generous and vice versa.
Eve... | Fred is happy. | entailment | (((wise(mary)&curious(mary)))<=>((~generous(fred)<~>generous(fred))))&
((~kind(lucy))<=>(generous(john)))&
((brave(fred))<=>(?[X]:((~calm(X)&humble(X)))))&
((?[X]:((kind(X)<~>~strong(X))))<=>((funny(lucy)|~generous(lucy))))&
(![X]:(~happy(X)=>(~old(X)<~>~creative(X))))&
(![X]:((humble(X)|patient(X))=>(creative(X)&~stro... | happy(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3281651793854228109362839
% SZS output start Proof for 3281651793854228109362839
12. ! [X0] : ((~creative(X0) & happy(X0)) <=> (brave(X0) | ~brave(X0))) [input p11]
22. ~happy(fred) [input hypothesis]
57. ! [X0] : (((~creative(X0) & happy(X0)) | (~brave(X0) & brave(X0))) & ((brave(X0) | ~... | 0 |
If john is not tall then fred is both not rich and not humble and vice versa. Everyone who is patient or not quiet is both not strong and rich. If mary is not creative then someone is not wise or not old and vice versa. If someone is both not brave and not happy then someone is both generous and not tall. Everyone who ... | Lucy is rich. | neutral | ((~tall(john))<=>((~rich(fred)&~humble(fred))))&
(![X]:((patient(X)|~quiet(X))=>(~strong(X)&rich(X))))&
((~creative(mary))<=>(?[X]:((~wise(X)|~old(X)))))&
((?[X]:((~brave(X)&~happy(X))))=>(?[X]:((generous(X)&~tall(X)))))&
(![X]:((tall(X)|~tall(X))=>(patient(X)<~>~brave(X))))&
(![X]:((strong(X)&happy(X))<=>(~creative(X)... | rich(lucy) | [] | null | 0 |
Everyone who is not funny is either not brave or curious.
If paul is tall then susan is not patient or tall.
Everyone who is not creative or not strong is either kind or curious.
Everyone who is either tall or not creative is patient or not quiet and vice versa.
Everyone who is not creative or not brave is strong.
Ever... | Lucy is strong. | entailment | (![X]:(~funny(X)=>(~brave(X)<~>curious(X))))&
((tall(paul))=>((~patient(susan)|tall(susan))))&
(![X]:((~creative(X)|~strong(X))=>(kind(X)<~>curious(X))))&
(![X]:((tall(X)<~>~creative(X))<=>(patient(X)|~quiet(X))))&
(![X]:((~creative(X)|~brave(X))=>strong(X)))&
(![X]:((~humble(X)&~quiet(X))=>(~kind(X)|~curious(X))))&
((... | strong(lucy) | [
"p4",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7343102535583178888366605
% SZS output start Proof for 7343102535583178888366605
5. ! [X0] : ((~brave(X0) | ~creative(X0)) => strong(X0)) [input p4]
12. ! [X0] : ((humble(X0) | ~wise(X0)) <=> ~creative(X0)) [input p11]
17. humble(lucy) & generous(lucy) [input p16]
24. ~strong(lucy) [input... | 0 |
Everyone who is both brave and not creative is either curious or kind and vice versa.
Everyone who is wise or not curious is both not creative and not patient.
If someone is both not rich and not old then someone is either rich or curious.
Everyone who is both humble and creative is not quiet or kind and vice versa.
Ev... | Fred is not curious. | contradiction | (![X]:((brave(X)&~creative(X))<=>(curious(X)<~>kind(X))))&
(![X]:((wise(X)|~curious(X))=>(~creative(X)&~patient(X))))&
((?[X]:((~rich(X)&~old(X))))=>(?[X]:((rich(X)<~>curious(X)))))&
(![X]:((humble(X)&creative(X))<=>(~quiet(X)|kind(X))))&
(![X]:(humble(X)=>wise(X)))&
(![X]:((~happy(X)&~funny(X))=>(~strong(X)&happy(X)))... | ~curious(fred) | [
"p5",
"p6",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7823918405242080994439362
% SZS output start Proof for 7823918405242080994439362
6. ! [X0] : ((~funny(X0) & ~happy(X0)) => (happy(X0) & ~strong(X0))) [input p5]
7. ! [X0] : (~wise(X0) <=> (happy(X0) | ~brave(X0))) [input p6]
8. ! [X0] : (strong(X0) => (funny(X0) <~> curious(X0))) [input p... | 0 |
If fred is not kind or funny then someone is both curious and not kind and vice versa.
Everyone who is either kind or funny is both strong and not patient and vice versa.
Everyone who is either curious or not wise is either not old or rich and vice versa.
Everyone who is either calm or not tall is not strong or creativ... | Alice is not tall. | neutral | (((~kind(fred)|funny(fred)))<=>(?[X]:((curious(X)&~kind(X)))))&
(![X]:((kind(X)<~>funny(X))<=>(strong(X)&~patient(X))))&
(![X]:((curious(X)<~>~wise(X))<=>(~old(X)<~>rich(X))))&
(![X]:((calm(X)<~>~tall(X))<=>(~strong(X)|creative(X))))&
((?[X]:((~rich(X)&creative(X))))<=>((rich(john)<~>~generous(john))))&
((?[X]:((~patie... | ~tall(alice) | [] | null | 0 |
Everyone who is quiet is either not quiet or rich.
Everyone who is either not creative or calm is not curious or not strong and vice versa.
If mary is wise or rich then someone is humble.
Everyone who is not humble is not rich or rich.
Everyone who is not generous is calm or patient.
If someone is not strong then someo... | Paul is not tall. | contradiction | (![X]:(quiet(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~creative(X)<~>calm(X))<=>(~curious(X)|~strong(X))))&
(((wise(mary)|rich(mary)))=>(?[X]:(humble(X))))&
(![X]:(~humble(X)=>(~rich(X)|rich(X))))&
(![X]:(~generous(X)=>(calm(X)|patient(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((kind(X)&old(X)))))&
(![X]:((tall(X)<~>~wise(X))=>(... | ~tall(paul) | [
"p0",
"p6",
"p10",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3703992749288555444842143
% SZS output start Proof for 3703992749288555444842143
1. ! [X0] : (quiet(X0) => (~quiet(X0) <~> rich(X0))) [input p0]
7. ! [X0] : ((tall(X0) <~> ~wise(X0)) => (~tall(X0) & ~quiet(X0))) [input p6]
11. ! [X0] : ((tall(X0) | ~happy(X0)) <=> (~creative(X0) & ~curiou... | 0 |
Everyone who is not patient is both strong and not curious and vice versa.
If someone is both generous and tall then lucy is either calm or not rich.
If someone is not patient then susan is not humble and vice versa.
Everyone who is both not funny and not happy is either wise or patient.
If fred is happy then someone i... | Paul is patient. | neutral | (![X]:(~patient(X)<=>(strong(X)&~curious(X))))&
((?[X]:((generous(X)&tall(X))))=>((calm(lucy)<~>~rich(lucy))))&
((?[X]:(~patient(X)))<=>(~humble(susan)))&
(![X]:((~funny(X)&~happy(X))=>(wise(X)<~>patient(X))))&
((happy(fred))<=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:((~curious(X)&~rich(X))<=>quiet(X)))&
(((~patient(john... | patient(paul) | [] | null | 0 |
If someone is not quiet then mary is creative or old.
Everyone who is both not tall and kind is patient.
Everyone who is both not happy and humble is humble.
Everyone who is both tall and not old is either happy or not old and vice versa.
Everyone who is not kind or not humble is both not curious and tall and vice vers... | Fred is not creative. | neutral | ((?[X]:(~quiet(X)))=>((creative(mary)|old(mary))))&
(![X]:((~tall(X)&kind(X))=>patient(X)))&
(![X]:((~happy(X)&humble(X))=>humble(X)))&
(![X]:((tall(X)&~old(X))<=>(happy(X)<~>~old(X))))&
(![X]:((~kind(X)|~humble(X))<=>(~curious(X)&tall(X))))&
(![X]:(creative(X)=>(~creative(X)<~>calm(X))))&
((?[X]:(~old(X)))<=>(?[X]:(br... | ~creative(fred) | [] | null | 0 |
Everyone who is both quiet and tall is not curious.
If someone is creative then someone is wise.
Everyone who is either funny or not patient is quiet or creative.
Everyone who is not quiet is not tall and vice versa.
If someone is both quiet and not curious then someone is both creative and curious.
Everyone who is bot... | Paul is strong. | entailment | (![X]:((quiet(X)&tall(X))=>~curious(X)))&
((?[X]:(creative(X)))=>(?[X]:(wise(X))))&
(![X]:((funny(X)<~>~patient(X))=>(quiet(X)|creative(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((?[X]:((quiet(X)&~curious(X))))=>(?[X]:((creative(X)&curious(X)))))&
(![X]:((~funny(X)&creative(X))<=>~curious(X)))&
((?[X]:((~strong(X)&~old(X))... | strong(paul) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1155489802992773497794309
% SZS output start Proof for 1155489802992773497794309
1. ! [X0] : ((tall(X0) & quiet(X0)) => ~curious(X0)) [input p0]
3. ! [X0] : ((funny(X0) <~> ~patient(X0)) => (creative(X0) | quiet(X0))) [input p2]
4. ! [X0] : (~quiet(X0) <=> ~tall(X0)) [input p3]
6. ! [X0] ... | 0 |
Everyone who is happy or rich is either funny or generous.
If fred is both not patient and quiet then someone is either strong or brave.
If someone is either quiet or calm then lucy is either curious or calm and vice versa.
Everyone who is humble is not strong and vice versa.
Everyone who is either generous or not humb... | Mary is generous. | entailment | (![X]:((happy(X)|rich(X))=>(funny(X)<~>generous(X))))&
(((~patient(fred)&quiet(fred)))=>(?[X]:((strong(X)<~>brave(X)))))&
((?[X]:((quiet(X)<~>calm(X))))<=>((curious(lucy)<~>calm(lucy))))&
(![X]:(humble(X)<=>~strong(X)))&
(![X]:((generous(X)<~>~humble(X))<=>(creative(X)|~old(X))))&
(![X]:(brave(X)=>(calm(X)<~>humble(X))... | generous(mary) | [
"p0",
"p3",
"p4",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4539158000852588324286428
% SZS output start Proof for 4539158000852588324286428
1. ! [X0] : ((rich(X0) | happy(X0)) => (funny(X0) <~> generous(X0))) [input p0]
4. ! [X0] : (humble(X0) <=> ~strong(X0)) [input p3]
5. ! [X0] : ((generous(X0) <~> ~humble(X0)) <=> (~old(X0) | creative(X0))) [... | 0 |
Everyone who is not calm or brave is not wise.
If someone is creative or funny then someone is either not happy or happy.
If john is either old or not wise then lucy is either not generous or happy and vice versa.
If someone is humble or not tall then mary is not rich.
If someone is both not old and creative then someo... | Alice is not humble. | neutral | (![X]:((~calm(X)|brave(X))=>~wise(X)))&
((?[X]:((creative(X)|funny(X))))=>(?[X]:((~happy(X)<~>happy(X)))))&
(((old(john)<~>~wise(john)))<=>((~generous(lucy)<~>happy(lucy))))&
((?[X]:((humble(X)|~tall(X))))=>(~rich(mary)))&
((?[X]:((~old(X)&creative(X))))=>(?[X]:(funny(X))))&
(![X]:(quiet(X)<=>(~brave(X)|generous(X))))&... | ~humble(alice) | [] | null | 0 |
If someone is both not funny and rich then someone is patient and vice versa. Everyone who is not rich is either creative or not happy. If someone is either not calm or not brave then someone is both quiet and generous and vice versa. Everyone who is not strong is not calm or curious and vice versa. Everyone who is cur... | Lucy is not strong. | entailment | ((?[X]:((~funny(X)&rich(X))))<=>(?[X]:(patient(X))))&
(![X]:(~rich(X)=>(creative(X)<~>~happy(X))))&
((?[X]:((~calm(X)<~>~brave(X))))<=>(?[X]:((quiet(X)&generous(X)))))&
(![X]:(~strong(X)<=>(~calm(X)|curious(X))))&
(![X]:((curious(X)|~wise(X))=>(tall(X)<~>quiet(X))))&
(![X]:((strong(X)<~>~generous(X))=>kind(X)))&
((?[X]... | ~strong(lucy) | [
"p1",
"p3",
"p4",
"p6",
"p7",
"p8",
"p11",
"p12",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7555095487542378989729338
% SZS output start Proof for 7555095487542378989729338
2. ! [X0] : (~rich(X0) => (creative(X0) <~> ~happy(X0))) [input p1]
4. ! [X0] : (~strong(X0) <=> (curious(X0) | ~calm(X0))) [input p3]
5. ! [X0] : ((~wise(X0) | curious(X0)) => (tall(X0) <~> quiet(X0))) [inpu... | 0 |
If someone is not strong then someone is generous and vice versa.
Everyone who is either not happy or brave is rich and vice versa.
Everyone who is not humble or not generous is either curious or rich.
If mary is not calm then someone is happy and vice versa.
Everyone who is either not patient or humble is either not q... | Fred is rich. | contradiction | ((?[X]:(~strong(X)))<=>(?[X]:(generous(X))))&
(![X]:((~happy(X)<~>brave(X))<=>rich(X)))&
(![X]:((~humble(X)|~generous(X))=>(curious(X)<~>rich(X))))&
((~calm(mary))<=>(?[X]:(happy(X))))&
(![X]:((~patient(X)<~>humble(X))=>(~quiet(X)<~>quiet(X))))&
((?[X]:((~brave(X)|brave(X))))<=>(~creative(alice)))&
(((~creative(mary)&~... | rich(fred) | [
"p1",
"p7",
"p13",
"p14",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6279919396903303213906176
% SZS output start Proof for 6279919396903303213906176
2. ! [X0] : ((~happy(X0) <~> brave(X0)) <=> rich(X0)) [input p1]
8. ! [X0] : (~strong(X0) <=> (quiet(X0) <~> ~quiet(X0))) [input p7]
14. ? [X0] : (~quiet(X0) <~> ~happy(X0)) => (~patient(susan) & patient(susa... | 0 |
If someone is both not rich and not patient then paul is quiet.
If paul is brave then john is either quiet or not wise.
If someone is happy then alice is brave or not tall.
Everyone who is either kind or wise is either old or brave.
Everyone who is rich or creative is not funny and vice versa.
If susan is either not ha... | John is not wise. | entailment | ((?[X]:((~rich(X)&~patient(X))))=>(quiet(paul)))&
((brave(paul))=>((quiet(john)<~>~wise(john))))&
((?[X]:(happy(X)))=>((brave(alice)|~tall(alice))))&
(![X]:((kind(X)<~>wise(X))=>(old(X)<~>brave(X))))&
(![X]:((rich(X)|creative(X))<=>~funny(X)))&
(((~happy(susan)<~>~funny(susan)))=>(?[X]:((~brave(X)&calm(X)))))&
(((~calm... | ~wise(john) | [
"p1",
"p7",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1660969832082132397915956
% SZS output start Proof for 1660969832082132397915956
2. brave(paul) => (quiet(john) <~> ~wise(john)) [input p1]
8. ! [X0] : (~happy(X0) <=> (quiet(X0) & happy(X0))) [input p7]
15. ! [X0] : ((old(X0) | ~quiet(X0)) <=> (~old(X0) & ~kind(X0))) [input p14]
20. ~old... | 0 |
Everyone who is happy or not calm is not rich or tall and vice versa.
If someone is both tall and creative then someone is either patient or not patient.
Everyone who is both brave and not funny is creative and vice versa.
If someone is either not patient or not calm then susan is either not humble or rich and vice ver... | Susan is patient. | entailment | (![X]:((happy(X)|~calm(X))<=>(~rich(X)|tall(X))))&
((?[X]:((tall(X)&creative(X))))=>(?[X]:((patient(X)<~>~patient(X)))))&
(![X]:((brave(X)&~funny(X))<=>creative(X)))&
((?[X]:((~patient(X)<~>~calm(X))))<=>((~humble(susan)<~>rich(susan))))&
(![X]:((~humble(X)<~>~old(X))<=>(old(X)&~brave(X))))&
(![X]:((~happy(X)&~old(X))=... | patient(susan) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4456306506958403047809349
% SZS output start Proof for 4456306506958403047809349
19. patient(susan) & old(susan) [input p18]
25. ~patient(susan) [input hypothesis]
150. patient(susan) [cnf transformation 19]
159. ~patient(susan) [cnf transformation 25]
308. $false [subsumption resolution ... | 0 |
If someone is creative or not funny then someone is funny and vice versa. If someone is humble then lucy is patient and vice versa. If susan is both rich and not old then susan is happy or strong and vice versa. If susan is generous then someone is not tall or not patient. Everyone who is both generous and strong is bo... | Alice is not curious. | contradiction | ((?[X]:((creative(X)|~funny(X))))<=>(?[X]:(funny(X))))&
((?[X]:(humble(X)))<=>(patient(lucy)))&
(((rich(susan)&~old(susan)))<=>((happy(susan)|strong(susan))))&
((generous(susan))=>(?[X]:((~tall(X)|~patient(X)))))&
(![X]:((generous(X)&strong(X))<=>(~happy(X)&brave(X))))&
((?[X]:((~tall(X)&~old(X))))<=>(?[X]:(~patient(X)... | ~curious(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7496011797561036832699915
% SZS output start Proof for 7496011797561036832699915
16. ! [X0] : ((~tall(X0) | tall(X0)) <=> (curious(X0) & ~quiet(X0))) [input p15]
25. ~curious(alice) [input hypothesis]
72. ! [X0] : (((~tall(X0) | tall(X0)) | (~curious(X0) | quiet(X0))) & ((curious(X0) & ~q... | 0 |
If someone is happy or wise then someone is not old or not kind and vice versa. Everyone who is either generous or funny is humble or not curious. Everyone who is not curious or creative is patient or not generous and vice versa. If susan is not tall then paul is both happy and not funny. If someone is generous then al... | Alice is generous. | neutral | ((?[X]:((happy(X)|wise(X))))<=>(?[X]:((~old(X)|~kind(X)))))&
(![X]:((generous(X)<~>funny(X))=>(humble(X)|~curious(X))))&
(![X]:((~curious(X)|creative(X))<=>(patient(X)|~generous(X))))&
((~tall(susan))=>((happy(paul)&~funny(paul))))&
((?[X]:(generous(X)))<=>(creative(alice)))&
(![X]:((~curious(X)<~>rich(X))<=>(tall(X)<~... | generous(alice) | [] | null | 0 |
If someone is not humble then someone is not happy or happy and vice versa. Everyone who is either not old or rich is not kind or curious. If someone is not old or quiet then someone is both not quiet and rich and vice versa. If someone is not wise or strong then someone is both rich and not brave. If someone is both n... | Susan is not brave. | neutral | ((?[X]:(~humble(X)))<=>(?[X]:((~happy(X)|happy(X)))))&
(![X]:((~old(X)<~>rich(X))=>(~kind(X)|curious(X))))&
((?[X]:((~old(X)|quiet(X))))<=>(?[X]:((~quiet(X)&rich(X)))))&
((?[X]:((~wise(X)|strong(X))))=>(?[X]:((rich(X)&~brave(X)))))&
((?[X]:((~humble(X)&creative(X))))=>(?[X]:((brave(X)&~generous(X)))))&
(((~kind(fred)<~... | ~brave(susan) | [] | null | 0 |
Everyone who is both calm and tall is either not calm or old. Everyone who is generous is not kind. If mary is both not funny and strong then paul is both not humble and not old. If someone is either happy or not brave then susan is either not generous or generous. Everyone who is both not wise and tall is either kind ... | Paul is happy. | contradiction | (![X]:((calm(X)&tall(X))=>(~calm(X)<~>old(X))))&
(![X]:(generous(X)=>~kind(X)))&
(((~funny(mary)&strong(mary)))=>((~humble(paul)&~old(paul))))&
((?[X]:((happy(X)<~>~brave(X))))=>((~generous(susan)<~>generous(susan))))&
(![X]:((~wise(X)&tall(X))<=>(kind(X)<~>old(X))))&
((?[X]:(kind(X)))=>(?[X]:((~rich(X)|strong(X)))))&
... | happy(paul) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4882473563415936859308044
% SZS output start Proof for 4882473563415936859308044
9. ! [X0] : (~creative(X0) <=> (quiet(X0) & ~happy(X0))) [input p8]
14. ! [X0] : ((quiet(X0) & ~creative(X0)) <=> happy(X0)) [input p13]
23. happy(paul) [input hypothesis]
47. ! [X0] : ((~creative(X0) | (~qui... | 0 |
Everyone who is generous or not old is strong or kind and vice versa.
If someone is not strong or wise then john is both brave and not wise and vice versa.
Everyone who is not rich or not patient is either not humble or not old.
If susan is not calm then john is both not tall and creative.
Everyone who is both not calm... | Susan is not old. | entailment | (![X]:((generous(X)|~old(X))<=>(strong(X)|kind(X))))&
((?[X]:((~strong(X)|wise(X))))<=>((brave(john)&~wise(john))))&
(![X]:((~rich(X)|~patient(X))=>(~humble(X)<~>~old(X))))&
((~calm(susan))=>((~tall(john)&creative(john))))&
(![X]:((~calm(X)&old(X))<=>(~funny(X)|~kind(X))))&
(![X]:(~quiet(X)=>calm(X)))&
(((~old(fred)&~r... | ~old(susan) | [
"p0",
"p4",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3220685128090406881587230
% SZS output start Proof for 3220685128090406881587230
1. ! [X0] : ((~old(X0) | generous(X0)) <=> (kind(X0) | strong(X0))) [input p0]
5. ! [X0] : ((old(X0) & ~calm(X0)) <=> (~kind(X0) | ~funny(X0))) [input p4]
15. ! [X0] : ((funny(X0) <~> ~generous(X0)) <=> (~cre... | 0 |
Everyone who is both not humble and strong is either not old or old and vice versa.
If fred is strong or not generous then alice is either not wise or patient.
Everyone who is both not funny and not happy is strong and vice versa.
If someone is both brave and not brave then someone is either not wise or old and vice ve... | Mary is curious. | entailment | (![X]:((~humble(X)&strong(X))<=>(~old(X)<~>old(X))))&
(((strong(fred)|~generous(fred)))=>((~wise(alice)<~>patient(alice))))&
(![X]:((~funny(X)&~happy(X))<=>strong(X)))&
((?[X]:((brave(X)&~brave(X))))<=>(?[X]:((~wise(X)<~>old(X)))))&
(![X]:(wise(X)<=>(calm(X)&brave(X))))&
(![X]:((funny(X)|brave(X))<=>~happy(X)))&
(![X]:... | curious(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1071443771916293918606309
% SZS output start Proof for 1071443771916293918606309
18. curious(mary) & kind(mary) [input p17]
20. ~curious(mary) [input hypothesis]
128. curious(mary) [cnf transformation 18]
130. ~curious(mary) [cnf transformation 20]
222. $false [subsumption resolution 130,... | 0 |
Everyone who is not tall or not funny is both not quiet and patient and vice versa.
Everyone who is both not quiet and not patient is either not generous or patient and vice versa.
If paul is either calm or not brave then someone is both humble and not brave and vice versa.
If someone is not kind then susan is either n... | Paul is not strong. | contradiction | (![X]:((~tall(X)|~funny(X))<=>(~quiet(X)&patient(X))))&
(![X]:((~quiet(X)&~patient(X))<=>(~generous(X)<~>patient(X))))&
(((calm(paul)<~>~brave(paul)))<=>(?[X]:((humble(X)&~brave(X)))))&
((?[X]:(~kind(X)))<=>((~brave(susan)<~>~old(susan))))&
(![X]:((rich(X)&~humble(X))=>(~calm(X)&tall(X))))&
((?[X]:((~funny(X)&strong(X)... | ~strong(paul) | [
"p0",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2364130536523130616933805
% SZS output start Proof for 2364130536523130616933805
1. ! [X0] : ((~funny(X0) | ~tall(X0)) <=> (patient(X0) & ~quiet(X0))) [input p0]
9. ! [X0] : (~patient(X0) <=> ~strong(X0)) [input p8]
12. ! [X0] : (~patient(X0) => (~tall(X0) & tall(X0))) [input p11]
22. ~st... | 0 |
If someone is not old or not tall then someone is both kind and not funny and vice versa. Everyone who is not happy or strong is not curious or not patient. If susan is either not strong or generous then alice is patient and vice versa. If lucy is not funny or not curious then mary is either not old or happy. Everyone ... | Fred is curious. | contradiction | ((?[X]:((~old(X)|~tall(X))))<=>(?[X]:((kind(X)&~funny(X)))))&
(![X]:((~happy(X)|strong(X))=>(~curious(X)|~patient(X))))&
(((~strong(susan)<~>generous(susan)))<=>(patient(alice)))&
(((~funny(lucy)|~curious(lucy)))=>((~old(mary)<~>happy(mary))))&
(![X]:(~brave(X)=>(generous(X)<~>~calm(X))))&
(![X]:((~patient(X)|curious(X... | curious(fred) | [
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6400348467070990086987532
% SZS output start Proof for 6400348467070990086987532
8. ! [X0] : ((curious(X0) | ~kind(X0)) => rich(X0)) [input p7]
11. ! [X0] : ((curious(X0) | rich(X0)) => (~rich(X0) & funny(X0))) [input p10]
25. curious(fred) [input hypothesis]
34. ! [X0] : (rich(X0) | (~cu... | 0 |
If susan is either not calm or not brave then someone is not creative. If john is not quiet or quiet then mary is rich or not humble and vice versa. Everyone who is both generous and humble is either quiet or wise and vice versa. If someone is humble then john is either not old or not strong. Everyone who is both brave... | John is not kind. | entailment | (((~calm(susan)<~>~brave(susan)))=>(?[X]:(~creative(X))))&
(((~quiet(john)|quiet(john)))<=>((rich(mary)|~humble(mary))))&
(![X]:((generous(X)&humble(X))<=>(quiet(X)<~>wise(X))))&
((?[X]:(humble(X)))=>((~old(john)<~>~strong(john))))&
(![X]:((brave(X)&~patient(X))<=>(humble(X)<~>~creative(X))))&
(![X]:((~quiet(X)<~>quiet... | ~kind(john) | [
"p5",
"p10",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3522280807206409770440
% SZS output start Proof for 3522280807206409770440
6. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (~humble(X0) & ~quiet(X0))) [input p5]
11. ? [X0] : (~rich(X0) | funny(X0)) => (quiet(john) <~> old(john)) [input p10]
14. (~old(john) & kind(john)) <=> ? [X0] : kind(X0)... | 0 |
Everyone who is both brave and humble is calm or not tall.
Everyone who is either not patient or not quiet is not tall or patient and vice versa.
Everyone who is either not curious or strong is either old or happy and vice versa.
Everyone who is either happy or patient is happy or not creative.
If someone is both not c... | John is not rich. | contradiction | (![X]:((brave(X)&humble(X))=>(calm(X)|~tall(X))))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~tall(X)|patient(X))))&
(![X]:((~curious(X)<~>strong(X))<=>(old(X)<~>happy(X))))&
(![X]:((happy(X)<~>patient(X))=>(happy(X)|~creative(X))))&
((?[X]:((~curious(X)&~rich(X))))<=>((~patient(mary)|~funny(mary))))&
(((old(john)|~brave(joh... | ~rich(john) | [
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5848882682833616628321586
% SZS output start Proof for 5848882682833616628321586
7. ! [X0] : ((~tall(X0) & rich(X0)) <=> (funny(X0) | ~tall(X0))) [input p6]
22. ~tall(john) & quiet(john) [input p21]
23. ~rich(john) [input hypothesis]
45. ! [X0] : (((~tall(X0) & rich(X0)) | (~funny(X0) & t... | 0 |
If someone is both kind and calm then someone is not creative.
If someone is wise or strong then someone is generous.
Everyone who is creative or generous is both old and not old and vice versa.
If someone is not calm then fred is not brave.
If someone is not tall or not calm then someone is both calm and not humble.
E... | Fred is not humble. | entailment | ((?[X]:((kind(X)&calm(X))))=>(?[X]:(~creative(X))))&
((?[X]:((wise(X)|strong(X))))=>(?[X]:(generous(X))))&
(![X]:((creative(X)|generous(X))<=>(old(X)&~old(X))))&
((?[X]:(~calm(X)))=>(~brave(fred)))&
((?[X]:((~tall(X)|~calm(X))))=>(?[X]:((calm(X)&~humble(X)))))&
(![X]:((~generous(X)|~strong(X))=>(wise(X)<~>funny(X))))&
... | ~humble(fred) | [
"p1",
"p2",
"p5",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5179353131448607071211315
% SZS output start Proof for 5179353131448607071211315
2. ? [X0] : (strong(X0) | wise(X0)) => ? [X0] : generous(X0) [input p1]
3. ! [X0] : ((generous(X0) | creative(X0)) <=> (~old(X0) & old(X0))) [input p2]
6. ! [X0] : ((~strong(X0) | ~generous(X0)) => (wise(X0) ... | 0 |
Everyone who is either not generous or not strong is rich or not wise. If mary is generous then susan is calm or strong and vice versa. Everyone who is either happy or not generous is not calm or humble. Everyone who is not curious or not tall is old or not strong and vice versa. Everyone who is humble is both not calm... | John is not wise. | neutral | (![X]:((~generous(X)<~>~strong(X))=>(rich(X)|~wise(X))))&
((generous(mary))<=>((calm(susan)|strong(susan))))&
(![X]:((happy(X)<~>~generous(X))=>(~calm(X)|humble(X))))&
(![X]:((~curious(X)|~tall(X))<=>(old(X)|~strong(X))))&
(![X]:(humble(X)<=>(~calm(X)&~quiet(X))))&
(![X]:((generous(X)|~humble(X))<=>(kind(X)<~>~old(X)))... | ~wise(john) | [] | null | 0 |
Everyone who is not curious is either not wise or strong and vice versa.
Everyone who is both brave and not brave is either not quiet or happy and vice versa.
If someone is not patient then fred is humble.
Everyone who is funny is either not curious or curious and vice versa.
If mary is either tall or rich then someone... | Susan is funny. | entailment | (![X]:(~curious(X)<=>(~wise(X)<~>strong(X))))&
(![X]:((brave(X)&~brave(X))<=>(~quiet(X)<~>happy(X))))&
((?[X]:(~patient(X)))=>(humble(fred)))&
(![X]:(funny(X)<=>(~curious(X)<~>curious(X))))&
(((tall(mary)<~>rich(mary)))=>(?[X]:((~rich(X)|wise(X)))))&
((?[X]:((curious(X)<~>creative(X))))=>((~kind(paul)|~quiet(paul))))&
... | funny(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6494051718615899239975929
% SZS output start Proof for 6494051718615899239975929
4. ! [X0] : (funny(X0) <=> (~curious(X0) <~> curious(X0))) [input p3]
24. ~funny(susan) [input hypothesis]
26. ! [X0] : ((~curious(X0) <~> curious(X0)) => funny(X0)) [unused predicate definition removal 4]
28... | 0 |
Everyone who is either not wise or not calm is either not creative or not calm and vice versa.
If paul is both strong and calm then someone is patient.
If john is both not curious and not calm then someone is tall or funny.
Everyone who is funny or not humble is either not strong or not creative and vice versa.
If some... | Fred is creative. | contradiction | (![X]:((~wise(X)<~>~calm(X))<=>(~creative(X)<~>~calm(X))))&
(((strong(paul)&calm(paul)))=>(?[X]:(patient(X))))&
(((~curious(john)&~calm(john)))=>(?[X]:((tall(X)|funny(X)))))&
(![X]:((funny(X)|~humble(X))<=>(~strong(X)<~>~creative(X))))&
((?[X]:((~kind(X)&~humble(X))))=>((~brave(lucy)&curious(lucy))))&
(![X]:((generous(... | creative(fred) | [
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4117966193949597171377263
% SZS output start Proof for 4117966193949597171377263
7. ! [X0] : ((patient(X0) & ~creative(X0)) <=> (funny(X0) | old(X0))) [input p6]
21. quiet(fred) & old(fred) [input p20]
23. creative(fred) [input hypothesis]
26. old(fred) [pure predicate removal 21]
49. ! [... | 0 |
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