premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either humble or not wise then paul is both wise and not wise and vice versa. If lucy is both kind and old then paul is not strong and vice versa. Everyone who is either calm or wise is calm and vice versa. Everyone who is happy or funny is wise. If mary is not humble then someone is not brave. If someone... | Paul is not calm. | entailment | ((?[X]:((humble(X)<~>~wise(X))))<=>((wise(paul)&~wise(paul))))&
(((kind(lucy)&old(lucy)))<=>(~strong(paul)))&
(![X]:((calm(X)<~>wise(X))<=>calm(X)))&
(![X]:((happy(X)|funny(X))=>wise(X)))&
((~humble(mary))=>(?[X]:(~brave(X))))&
((?[X]:(funny(X)))<=>(?[X]:((curious(X)|calm(X)))))&
(![X]:(calm(X)<=>(curious(X)&rich(X))))... | ~calm(paul) | [
"p2",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5236671981811882317510716
% SZS output start Proof for 5236671981811882317510716
3. ! [X0] : ((calm(X0) <~> wise(X0)) <=> calm(X0)) [input p2]
4. ! [X0] : ((funny(X0) | happy(X0)) => wise(X0)) [input p3]
6. ? [X0] : funny(X0) <=> ? [X0] : (calm(X0) | curious(X0)) [input p5]
22. calm(paul)... | 0 |
If mary is not generous then someone is both not brave and calm. If someone is curious or quiet then someone is curious and vice versa. If lucy is either brave or quiet then someone is both funny and rich and vice versa. Everyone who is either not wise or curious is not wise or not strong and vice versa. Everyone who i... | Alice is not curious. | entailment | ((~generous(mary))=>(?[X]:((~brave(X)&calm(X)))))&
((?[X]:((curious(X)|quiet(X))))<=>(?[X]:(curious(X))))&
(((brave(lucy)<~>quiet(lucy)))<=>(?[X]:((funny(X)&rich(X)))))&
(![X]:((~wise(X)<~>curious(X))<=>(~wise(X)|~strong(X))))&
(![X]:((calm(X)|rich(X))<=>(~creative(X)|~rich(X))))&
(![X]:((happy(X)|creative(X))=>(curiou... | ~curious(alice) | [
"p4",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 473559512592051137466002
% SZS output start Proof for 473559512592051137466002
5. ! [X0] : ((rich(X0) | calm(X0)) <=> (~rich(X0) | ~creative(X0))) [input p4]
9. ! [X0] : ((~calm(X0) <~> ~curious(X0)) => (calm(X0) & ~funny(X0))) [input p8]
11. ! [X0] : ((~creative(X0) | wise(X0)) <=> ~stro... | 0 |
If someone is both not rich and happy then john is either not humble or not patient and vice versa.
Everyone who is both wise and not strong is quiet.
If lucy is either not quiet or curious then alice is either brave or old and vice versa.
Everyone who is humble or creative is both patient and not kind and vice versa.
... | Susan is not patient. | entailment | ((?[X]:((~rich(X)&happy(X))))<=>((~humble(john)<~>~patient(john))))&
(![X]:((wise(X)&~strong(X))=>quiet(X)))&
(((~quiet(lucy)<~>curious(lucy)))<=>((brave(alice)<~>old(alice))))&
(![X]:((humble(X)|creative(X))<=>(patient(X)&~kind(X))))&
((~wise(alice))<=>(?[X]:(wise(X))))&
(![X]:(~kind(X)<=>(happy(X)<~>~calm(X))))&
(![X... | ~patient(susan) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1635279430664935691945567
% SZS output start Proof for 1635279430664935691945567
12. ! [X0] : ((~brave(X0) | ~rich(X0)) <=> (~kind(X0) & kind(X0))) [input p11]
14. ! [X0] : ((~patient(X0) <~> brave(X0)) <=> (creative(X0) & ~patient(X0))) [input p13]
20. patient(susan) [input hypothesis]
5... | 0 |
Everyone who is not happy is both curious and not patient. If john is not humble or happy then someone is humble. Everyone who is calm is generous or patient. If mary is not creative or old then fred is both wise and happy. If someone is rich or happy then someone is both not patient and patient. Everyone who is not qu... | Paul is not rich. | entailment | (![X]:(~happy(X)=>(curious(X)&~patient(X))))&
(((~humble(john)|happy(john)))=>(?[X]:(humble(X))))&
(![X]:(calm(X)=>(generous(X)|patient(X))))&
(((~creative(mary)|old(mary)))=>((wise(fred)&happy(fred))))&
((?[X]:((rich(X)|happy(X))))=>(?[X]:((~patient(X)&patient(X)))))&
(![X]:((~quiet(X)|~creative(X))<=>(old(X)<~>genero... | ~rich(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8530458319655998274823466
% SZS output start Proof for 8530458319655998274823466
5. ? [X0] : (happy(X0) | rich(X0)) => ? [X0] : (patient(X0) & ~patient(X0)) [input p4]
18. rich(paul) [input hypothesis]
19. ? [X0] : (happy(X0) | rich(X0)) => ? [X1] : (patient(X1) & ~patient(X1)) [rectify 5... | 0 |
Everyone who is both generous and quiet is either not humble or old.
If mary is kind then mary is both creative and not calm and vice versa.
Everyone who is both tall and creative is both not creative and funny and vice versa.
Everyone who is not funny is not rich.
Everyone who is happy or brave is happy or quiet and v... | Mary is not tall. | entailment | (![X]:((generous(X)&quiet(X))=>(~humble(X)<~>old(X))))&
((kind(mary))<=>((creative(mary)&~calm(mary))))&
(![X]:((tall(X)&creative(X))<=>(~creative(X)&funny(X))))&
(![X]:(~funny(X)=>~rich(X)))&
(![X]:((happy(X)|brave(X))<=>(happy(X)|quiet(X))))&
((?[X]:((old(X)&~humble(X))))<=>((~kind(john)|quiet(john))))&
((?[X]:((crea... | ~tall(mary) | [
"p2",
"p3",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5205890549570093046499743
% SZS output start Proof for 5205890549570093046499743
3. ! [X0] : ((creative(X0) & tall(X0)) <=> (funny(X0) & ~creative(X0))) [input p2]
4. ! [X0] : (~funny(X0) => ~rich(X0)) [input p3]
12. ! [X0] : ((~quiet(X0) | rich(X0)) <=> ~patient(X0)) [input p11]
16. ! [X... | 0 |
If someone is either humble or not calm then someone is either curious or not happy and vice versa.
If someone is both not quiet and not brave then someone is either kind or funny.
If someone is not calm then fred is not kind and vice versa.
Everyone who is old is funny or not old.
Everyone who is both not kind and not... | Alice is wise. | entailment | ((?[X]:((humble(X)<~>~calm(X))))<=>(?[X]:((curious(X)<~>~happy(X)))))&
((?[X]:((~quiet(X)&~brave(X))))=>(?[X]:((kind(X)<~>funny(X)))))&
((?[X]:(~calm(X)))<=>(~kind(fred)))&
(![X]:(old(X)=>(funny(X)|~old(X))))&
(![X]:((~kind(X)&~strong(X))=>~happy(X)))&
(((~brave(fred)&patient(fred)))=>((~brave(lucy)&calm(lucy))))&
(![X... | wise(alice) | [
"p3",
"p10",
"p13",
"p15",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 388118281743537075870008
% SZS output start Proof for 388118281743537075870008
4. ! [X0] : (old(X0) => (~old(X0) | funny(X0))) [input p3]
11. ! [X0] : ((old(X0) <~> ~quiet(X0)) <=> (~quiet(X0) <~> brave(X0))) [input p10]
14. ! [X0] : ((happy(X0) | funny(X0)) <=> (rich(X0) <~> tall(X0))) [... | 0 |
If susan is not curious or calm then paul is either not quiet or not happy and vice versa. Everyone who is both kind and not generous is both not quiet and not old and vice versa. If susan is old or not rich then lucy is either brave or not patient and vice versa. Everyone who is rich or not brave is calm or not strong... | Susan is not funny. | contradiction | (((~curious(susan)|calm(susan)))<=>((~quiet(paul)<~>~happy(paul))))&
(![X]:((kind(X)&~generous(X))<=>(~quiet(X)&~old(X))))&
(((old(susan)|~rich(susan)))<=>((brave(lucy)<~>~patient(lucy))))&
(![X]:((rich(X)|~brave(X))=>(calm(X)|~strong(X))))&
(((generous(fred)&~tall(fred)))=>((~brave(susan)|~rich(susan))))&
((?[X]:((~ha... | ~funny(susan) | [
"p5",
"p7",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 367155829803655465384873
% SZS output start Proof for 367155829803655465384873
6. ? [X0] : (~happy(X0) <~> ~old(X0)) <=> (brave(susan) & patient(susan)) [input p5]
8. ! [X0] : (old(X0) <=> tall(X0)) [input p7]
13. ! [X0] : ((funny(X0) & ~tall(X0)) <=> (patient(X0) | ~humble(X0))) [input p... | 0 |
Everyone who is either not quiet or curious is both not generous and not old.
Everyone who is old is not happy or not rich.
Everyone who is either generous or not humble is both calm and not patient and vice versa.
If lucy is either not rich or happy then mary is both not creative and strong and vice versa.
Everyone wh... | Paul is brave. | contradiction | (![X]:((~quiet(X)<~>curious(X))=>(~generous(X)&~old(X))))&
(![X]:(old(X)=>(~happy(X)|~rich(X))))&
(![X]:((generous(X)<~>~humble(X))<=>(calm(X)&~patient(X))))&
(((~rich(lucy)<~>happy(lucy)))<=>((~creative(mary)&strong(mary))))&
(![X]:((~funny(X)&~kind(X))=>(creative(X)|happy(X))))&
((?[X]:(generous(X)))=>(?[X]:(~patient... | brave(paul) | [
"p6",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3941317851076471843232605
% SZS output start Proof for 3941317851076471843232605
7. ? [X0] : (~tall(X0) | generous(X0)) => kind(paul) [input p6]
10. ! [X0] : (~kind(X0) <=> (happy(X0) | brave(X0))) [input p9]
19. generous(john) [input p18]
25. brave(paul) [input hypothesis]
35. kind(paul)... | 0 |
If alice is not calm or happy then someone is humble and vice versa.
Everyone who is not strong or not old is not humble and vice versa.
If someone is not generous then fred is both funny and not old and vice versa.
If alice is both creative and not humble then john is generous.
If alice is either not kind or not humbl... | Lucy is funny. | contradiction | (((~calm(alice)|happy(alice)))<=>(?[X]:(humble(X))))&
(![X]:((~strong(X)|~old(X))<=>~humble(X)))&
((?[X]:(~generous(X)))<=>((funny(fred)&~old(fred))))&
(((creative(alice)&~humble(alice)))=>(generous(john)))&
(((~kind(alice)<~>~humble(alice)))<=>((rich(john)&~tall(john))))&
((?[X]:((rich(X)&strong(X))))=>((patient(fred)... | funny(lucy) | [
"p1",
"p8",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1377302828778744518787720
% SZS output start Proof for 1377302828778744518787720
2. ! [X0] : ((~old(X0) | ~strong(X0)) <=> ~humble(X0)) [input p1]
9. ! [X0] : ((kind(X0) | funny(X0)) => (~humble(X0) <~> ~kind(X0))) [input p8]
10. ! [X0] : ((old(X0) <~> ~strong(X0)) <=> (~funny(X0) & happy... | 0 |
If susan is not funny or generous then fred is not humble or not creative.
Everyone who is not brave is not kind and vice versa.
If someone is both not creative and not old then someone is both humble and not old and vice versa.
Everyone who is either old or not brave is both not kind and not happy.
Everyone who is bot... | Fred is brave. | entailment | (((~funny(susan)|generous(susan)))=>((~humble(fred)|~creative(fred))))&
(![X]:(~brave(X)<=>~kind(X)))&
((?[X]:((~creative(X)&~old(X))))<=>(?[X]:((humble(X)&~old(X)))))&
(![X]:((old(X)<~>~brave(X))=>(~kind(X)&~happy(X))))&
(![X]:((~patient(X)&wise(X))=>(calm(X)|kind(X))))&
(![X]:((~kind(X)&~happy(X))<=>(~tall(X)<~>~quie... | brave(fred) | [
"p3",
"p8",
"p9",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3959901747133704091664804
% SZS output start Proof for 3959901747133704091664804
4. ! [X0] : ((old(X0) <~> ~brave(X0)) => (~happy(X0) & ~kind(X0))) [input p3]
9. (kind(susan) & calm(susan)) <=> ? [X0] : (wise(X0) | humble(X0)) [input p8]
10. (funny(susan) & ~calm(susan)) <=> ? [X0] : (str... | 0 |
If john is either not brave or not strong then someone is either not wise or old and vice versa.
If susan is funny then someone is both not humble and not funny and vice versa.
Everyone who is funny is both not kind and not calm.
Everyone who is both creative and rich is patient or quiet.
Everyone who is both creative ... | Alice is not humble. | contradiction | (((~brave(john)<~>~strong(john)))<=>(?[X]:((~wise(X)<~>old(X)))))&
((funny(susan))<=>(?[X]:((~humble(X)&~funny(X)))))&
(![X]:(funny(X)=>(~kind(X)&~calm(X))))&
(![X]:((creative(X)&rich(X))=>(patient(X)|quiet(X))))&
(![X]:((creative(X)&curious(X))=>(~kind(X)|~funny(X))))&
(![X]:((curious(X)<~>kind(X))=>(brave(X)|tall(X))... | ~humble(alice) | [
"p1",
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 746147722997984084950391
% SZS output start Proof for 746147722997984084950391
2. funny(susan) <=> ? [X0] : (~funny(X0) & ~humble(X0)) [input p1]
3. ! [X0] : (funny(X0) => (~calm(X0) & ~kind(X0))) [input p2]
12. ! [X0] : ((calm(X0) & old(X0)) <=> (~wise(X0) | ~kind(X0))) [input p11]
25. ~... | 0 |
Everyone who is both tall and generous is both old and not tall and vice versa.
If fred is not patient then someone is either not happy or calm.
Everyone who is both funny and not happy is patient or old.
Everyone who is either rich or brave is not brave or not patient and vice versa.
Everyone who is both not calm and ... | Lucy is old. | neutral | (![X]:((tall(X)&generous(X))<=>(old(X)&~tall(X))))&
((~patient(fred))=>(?[X]:((~happy(X)<~>calm(X)))))&
(![X]:((funny(X)&~happy(X))=>(patient(X)|old(X))))&
(![X]:((rich(X)<~>brave(X))<=>(~brave(X)|~patient(X))))&
(![X]:((~calm(X)&creative(X))<=>~generous(X)))&
(![X]:((~strong(X)&quiet(X))=>(~wise(X)&patient(X))))&
(![X... | old(lucy) | [] | null | 0 |
Everyone who is calm or not quiet is generous or not funny and vice versa.
If susan is both not curious and humble then mary is either not curious or happy.
Everyone who is wise or not generous is both brave and not wise and vice versa.
Everyone who is either rich or not strong is both not generous and not wise and vic... | Fred is not brave. | entailment | (![X]:((calm(X)|~quiet(X))<=>(generous(X)|~funny(X))))&
(((~curious(susan)&humble(susan)))=>((~curious(mary)<~>happy(mary))))&
(![X]:((wise(X)|~generous(X))<=>(brave(X)&~wise(X))))&
(![X]:((rich(X)<~>~strong(X))<=>(~generous(X)&~wise(X))))&
(![X]:((funny(X)&kind(X))<=>~calm(X)))&
(![X]:(strong(X)<=>(calm(X)<~>generous(... | ~brave(fred) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 680861206813184346315109
% SZS output start Proof for 680861206813184346315109
3. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~wise(X0) & brave(X0))) [input p2]
4. ! [X0] : ((rich(X0) <~> ~strong(X0)) <=> (~wise(X0) & ~generous(X0))) [input p3]
5. ! [X0] : ((kind(X0) & funny(X0)) <=> ~calm(... | 0 |
Everyone who is tall is both strong and tall and vice versa.
If someone is both happy and kind then mary is both quiet and not rich.
If someone is both patient and not generous then paul is not kind and vice versa.
Everyone who is both wise and tall is creative.
Everyone who is both quiet and kind is either not generou... | Lucy is tall. | contradiction | (![X]:(tall(X)<=>(strong(X)&tall(X))))&
((?[X]:((happy(X)&kind(X))))=>((quiet(mary)&~rich(mary))))&
((?[X]:((patient(X)&~generous(X))))<=>(~kind(paul)))&
(![X]:((wise(X)&tall(X))=>creative(X)))&
(![X]:((quiet(X)&kind(X))<=>(~generous(X)<~>calm(X))))&
(![X]:((~happy(X)|creative(X))<=>(~tall(X)&~old(X))))&
(![X]:((~rich(... | tall(lucy) | [
"p0",
"p1",
"p5",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2858918403004790755369818
% SZS output start Proof for 2858918403004790755369818
1. ! [X0] : (tall(X0) <=> (tall(X0) & strong(X0))) [input p0]
2. ? [X0] : (kind(X0) & happy(X0)) => (~rich(mary) & quiet(mary)) [input p1]
6. ! [X0] : ((creative(X0) | ~happy(X0)) <=> (~old(X0) & ~tall(X0))) ... | 0 |
Everyone who is both funny and rich is either humble or kind and vice versa. If someone is not patient then someone is both curious and funny and vice versa. Everyone who is either not wise or quiet is brave and vice versa. If someone is both happy and old then mary is both wise and not humble and vice versa. If susan ... | Mary is not quiet. | contradiction | (![X]:((funny(X)&rich(X))<=>(humble(X)<~>kind(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((curious(X)&funny(X)))))&
(![X]:((~wise(X)<~>quiet(X))<=>brave(X)))&
((?[X]:((happy(X)&old(X))))<=>((wise(mary)&~humble(mary))))&
(((rich(susan)<~>old(susan)))=>(?[X]:((curious(X)&humble(X)))))&
(![X]:((~calm(X)&creative(X))=>rich(X)))&... | ~quiet(mary) | [
"p2",
"p6",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7957798046336569185196874
% SZS output start Proof for 7957798046336569185196874
3. ! [X0] : ((~wise(X0) <~> quiet(X0)) <=> brave(X0)) [input p2]
7. ! [X0] : ((~generous(X0) & tall(X0)) => brave(X0)) [input p6]
13. ? [X0] : (~generous(X0) <~> ~quiet(X0)) <=> (~generous(mary) & ~creative(m... | 0 |
Everyone who is either generous or rich is either not patient or not generous. If fred is not old then someone is not tall. If someone is both not rich and strong then someone is both not creative and strong and vice versa. Everyone who is either quiet or calm is patient or not creative and vice versa. Everyone who is ... | Alice is calm. | neutral | (![X]:((generous(X)<~>rich(X))=>(~patient(X)<~>~generous(X))))&
((~old(fred))=>(?[X]:(~tall(X))))&
((?[X]:((~rich(X)&strong(X))))<=>(?[X]:((~creative(X)&strong(X)))))&
(![X]:((quiet(X)<~>calm(X))<=>(patient(X)|~creative(X))))&
(![X]:((generous(X)&creative(X))=>(strong(X)|~humble(X))))&
(![X]:(~curious(X)=>(~old(X)<~>fu... | calm(alice) | [] | null | 0 |
If someone is not brave then someone is either not tall or not creative and vice versa.
Everyone who is curious is not funny.
If alice is not strong then someone is not curious or calm and vice versa.
Everyone who is either not generous or not wise is both not wise and not generous and vice versa.
Everyone who is not c... | Mary is quiet. | neutral | ((?[X]:(~brave(X)))<=>(?[X]:((~tall(X)<~>~creative(X)))))&
(![X]:(curious(X)=>~funny(X)))&
((~strong(alice))<=>(?[X]:((~curious(X)|calm(X)))))&
(![X]:((~generous(X)<~>~wise(X))<=>(~wise(X)&~generous(X))))&
(![X]:((~calm(X)|~quiet(X))<=>(~brave(X)<~>happy(X))))&
(![X]:(~generous(X)<=>(~funny(X)&~creative(X))))&
(![X]:((... | quiet(mary) | [] | null | 0 |
Everyone who is either old or not quiet is both curious and not kind.
Everyone who is creative or patient is not quiet.
Everyone who is not happy or humble is both not brave and not funny.
Everyone who is not quiet is strong.
If someone is either brave or not curious then someone is funny and vice versa.
Everyone who i... | Paul is not tall. | neutral | (![X]:((old(X)<~>~quiet(X))=>(curious(X)&~kind(X))))&
(![X]:((creative(X)|patient(X))=>~quiet(X)))&
(![X]:((~happy(X)|humble(X))=>(~brave(X)&~funny(X))))&
(![X]:(~quiet(X)=>strong(X)))&
((?[X]:((brave(X)<~>~curious(X))))<=>(?[X]:(funny(X))))&
(![X]:((happy(X)&~kind(X))<=>(~wise(X)|~patient(X))))&
(![X]:((~brave(X)<~>fu... | ~tall(paul) | [] | null | 0 |
Everyone who is either creative or strong is either quiet or rich.
If paul is not kind then alice is both tall and not creative.
Everyone who is either not curious or not rich is either not kind or quiet and vice versa.
If alice is both patient and not kind then fred is both calm and patient and vice versa.
Everyone wh... | Paul is wise. | neutral | (![X]:((creative(X)<~>strong(X))=>(quiet(X)<~>rich(X))))&
((~kind(paul))=>((tall(alice)&~creative(alice))))&
(![X]:((~curious(X)<~>~rich(X))<=>(~kind(X)<~>quiet(X))))&
(((patient(alice)&~kind(alice)))<=>((calm(fred)&patient(fred))))&
(![X]:(~happy(X)=>(~creative(X)|generous(X))))&
(![X]:((tall(X)<~>~generous(X))<=>~ric... | wise(paul) | [] | null | 0 |
Everyone who is not curious is not generous and vice versa.
If paul is either not patient or not strong then someone is not humble and vice versa.
If someone is either quiet or generous then someone is both brave and quiet.
Everyone who is not calm or not strong is not tall.
If someone is either brave or wise then john... | Susan is not humble. | contradiction | (![X]:(~curious(X)<=>~generous(X)))&
(((~patient(paul)<~>~strong(paul)))<=>(?[X]:(~humble(X))))&
((?[X]:((quiet(X)<~>generous(X))))=>(?[X]:((brave(X)&quiet(X)))))&
(![X]:((~calm(X)|~strong(X))=>~tall(X)))&
((?[X]:((brave(X)<~>wise(X))))<=>((kind(john)|~curious(john))))&
(![X]:((~funny(X)<~>strong(X))<=>brave(X)))&
(((k... | ~humble(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7794443645758679815585078
% SZS output start Proof for 7794443645758679815585078
11. ! [X0] : ((~humble(X0) | wise(X0)) => humble(X0)) [input p10]
25. ~humble(susan) [input hypothesis]
31. ! [X0] : (humble(X0) | (humble(X0) & ~wise(X0))) [ennf transformation 11]
122. humble(X0) | humble(X... | 0 |
Everyone who is either not patient or kind is kind. If someone is both not funny and not humble then someone is either not curious or not funny and vice versa. Everyone who is both not happy and not humble is either not rich or tall and vice versa. Everyone who is both tall and patient is not rich or not creative and v... | Susan is tall. | contradiction | (![X]:((~patient(X)<~>kind(X))=>kind(X)))&
((?[X]:((~funny(X)&~humble(X))))<=>(?[X]:((~curious(X)<~>~funny(X)))))&
(![X]:((~happy(X)&~humble(X))<=>(~rich(X)<~>tall(X))))&
(![X]:((tall(X)&patient(X))<=>(~rich(X)|~creative(X))))&
(![X]:(funny(X)<=>(generous(X)<~>~creative(X))))&
(![X]:((humble(X)&curious(X))=>happy(X)))&... | tall(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3768625018796982949880135
% SZS output start Proof for 3768625018796982949880135
7. (~tall(susan) & ~humble(susan)) <=> (~quiet(john) | quiet(john)) [input p6]
25. tall(susan) [input hypothesis]
49. ((~tall(susan) & ~humble(susan)) | (quiet(john) & ~quiet(john))) & ((~quiet(john) | quiet(... | 0 |
Everyone who is not funny or not tall is either humble or kind and vice versa. Everyone who is both not wise and not creative is not humble or wise and vice versa. Everyone who is both not calm and humble is either not curious or not humble and vice versa. Everyone who is both not quiet and curious is not generous or n... | Alice is not generous. | contradiction | (![X]:((~funny(X)|~tall(X))<=>(humble(X)<~>kind(X))))&
(![X]:((~wise(X)&~creative(X))<=>(~humble(X)|wise(X))))&
(![X]:((~calm(X)&humble(X))<=>(~curious(X)<~>~humble(X))))&
(![X]:((~quiet(X)&curious(X))<=>(~generous(X)|~rich(X))))&
(((~kind(paul)<~>funny(paul)))=>((~rich(john)&wise(john))))&
(((tall(mary)&~tall(mary)))=... | ~generous(alice) | [
"p1",
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5757894814778477590944910
% SZS output start Proof for 5757894814778477590944910
2. ! [X0] : ((~creative(X0) & ~wise(X0)) <=> (wise(X0) | ~humble(X0))) [input p1]
4. ! [X0] : ((curious(X0) & ~quiet(X0)) <=> (~rich(X0) | ~generous(X0))) [input p3]
7. ! [X0] : ((~generous(X0) <~> ~curious(X... | 0 |
Everyone who is not happy or not curious is both patient and old and vice versa.
Everyone who is not generous or funny is not old or not strong and vice versa.
Everyone who is either happy or not brave is strong or not creative.
If someone is both happy and curious then someone is not strong or not quiet.
If someone is... | Lucy is patient. | entailment | (![X]:((~happy(X)|~curious(X))<=>(patient(X)&old(X))))&
(![X]:((~generous(X)|funny(X))<=>(~old(X)|~strong(X))))&
(![X]:((happy(X)<~>~brave(X))=>(strong(X)|~creative(X))))&
((?[X]:((happy(X)&curious(X))))=>(?[X]:((~strong(X)|~quiet(X)))))&
((?[X]:((curious(X)<~>creative(X))))=>(?[X]:((~patient(X)&curious(X)))))&
(![X]:(... | patient(lucy) | [
"p0",
"p7",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2405206015591146466149454
% SZS output start Proof for 2405206015591146466149454
1. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> (old(X0) & patient(X0))) [input p0]
8. ! [X0] : ((~kind(X0) | ~brave(X0)) <=> patient(X0)) [input p7]
13. ! [X0] : ((happy(X0) & ~generous(X0)) <=> (~kind(X0) & ri... | 0 |
Everyone who is not patient is old or not rich and vice versa.
Everyone who is both not tall and not brave is quiet or not rich and vice versa.
Everyone who is both old and happy is either not quiet or not old.
Everyone who is either kind or patient is both not rich and not quiet.
If susan is funny or brave then someon... | Susan is funny. | contradiction | (![X]:(~patient(X)<=>(old(X)|~rich(X))))&
(![X]:((~tall(X)&~brave(X))<=>(quiet(X)|~rich(X))))&
(![X]:((old(X)&happy(X))=>(~quiet(X)<~>~old(X))))&
(![X]:((kind(X)<~>patient(X))=>(~rich(X)&~quiet(X))))&
(((funny(susan)|brave(susan)))<=>(?[X]:((kind(X)&brave(X)))))&
(![X]:(strong(X)<=>(~brave(X)&~patient(X))))&
(![X]:((~h... | funny(susan) | [
"p1",
"p5",
"p9",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8612263010275517411712349
% SZS output start Proof for 8612263010275517411712349
2. ! [X0] : ((~brave(X0) & ~tall(X0)) <=> (~rich(X0) | quiet(X0))) [input p1]
6. ! [X0] : (strong(X0) <=> (~patient(X0) & ~brave(X0))) [input p5]
10. ! [X0] : ((~tall(X0) & strong(X0)) <=> (~funny(X0) & gener... | 0 |
If someone is not happy or not wise then john is both creative and not funny and vice versa.
If someone is both old and patient then john is either creative or curious.
If mary is both rich and strong then susan is old.
If susan is both strong and rich then someone is rich and vice versa.
Everyone who is either quiet o... | Paul is not rich. | contradiction | ((?[X]:((~happy(X)|~wise(X))))<=>((creative(john)&~funny(john))))&
((?[X]:((old(X)&patient(X))))=>((creative(john)<~>curious(john))))&
(((rich(mary)&strong(mary)))=>(old(susan)))&
(((strong(susan)&rich(susan)))<=>(?[X]:(rich(X))))&
(![X]:((quiet(X)<~>~brave(X))<=>(tall(X)<~>~rich(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:(pat... | ~rich(paul) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 402208625337875585817805
% SZS output start Proof for 402208625337875585817805
19. ~calm(paul) & rich(paul) [input p18]
25. ~rich(paul) [input hypothesis]
145. rich(paul) [cnf transformation 19]
155. ~rich(paul) [cnf transformation 25]
400. $false [subsumption resolution 155,145]
% SZS ou... | 0 |
Everyone who is either not kind or calm is both humble and wise and vice versa.
Everyone who is not brave is both strong and not tall and vice versa.
If alice is both creative and not quiet then lucy is strong and vice versa.
Everyone who is both old and humble is rich or brave and vice versa.
If alice is either curiou... | Fred is not funny. | entailment | (![X]:((~kind(X)<~>calm(X))<=>(humble(X)&wise(X))))&
(![X]:(~brave(X)<=>(strong(X)&~tall(X))))&
(((creative(alice)&~quiet(alice)))<=>(strong(lucy)))&
(![X]:((old(X)&humble(X))<=>(rich(X)|brave(X))))&
(((curious(alice)<~>~brave(alice)))=>(?[X]:((~creative(X)&curious(X)))))&
(((happy(john)<~>patient(john)))<=>(?[X]:(brav... | ~funny(fred) | [
"p1",
"p3",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 626907423093156143437242
% SZS output start Proof for 626907423093156143437242
2. ! [X0] : (~brave(X0) <=> (~tall(X0) & strong(X0))) [input p1]
4. ! [X0] : ((humble(X0) & old(X0)) <=> (brave(X0) | rich(X0))) [input p3]
7. funny(fred) <=> (rich(john) & ~quiet(john)) [input p6]
10. ! [X0] :... | 0 |
Everyone who is not patient is either creative or not curious.
Everyone who is both not happy and not patient is either quiet or happy.
Everyone who is not creative is both not generous and not wise and vice versa.
If someone is both not curious and funny then lucy is not quiet and vice versa.
Everyone who is curious i... | John is old. | neutral | (![X]:(~patient(X)=>(creative(X)<~>~curious(X))))&
(![X]:((~happy(X)&~patient(X))=>(quiet(X)<~>happy(X))))&
(![X]:(~creative(X)<=>(~generous(X)&~wise(X))))&
((?[X]:((~curious(X)&funny(X))))<=>(~quiet(lucy)))&
(![X]:(curious(X)<=>(generous(X)|~quiet(X))))&
((?[X]:((~brave(X)&kind(X))))<=>(?[X]:((~brave(X)|~quiet(X)))))&... | old(john) | [] | null | 0 |
If lucy is not creative or not calm then someone is calm.
Everyone who is brave is both not humble and not creative and vice versa.
Everyone who is both tall and quiet is calm and vice versa.
Everyone who is old or strong is not quiet and vice versa.
Everyone who is both tall and not funny is both rich and not creative... | Paul is not old. | neutral | (((~creative(lucy)|~calm(lucy)))=>(?[X]:(calm(X))))&
(![X]:(brave(X)<=>(~humble(X)&~creative(X))))&
(![X]:((tall(X)&quiet(X))<=>calm(X)))&
(![X]:((old(X)|strong(X))<=>~quiet(X)))&
(![X]:((tall(X)&~funny(X))<=>(rich(X)&~creative(X))))&
(![X]:((rich(X)&~strong(X))=>(patient(X)<~>humble(X))))&
(![X]:((~funny(X)&~happy(X))... | ~old(paul) | [] | null | 0 |
Everyone who is either happy or not kind is either not tall or patient and vice versa.
If mary is either not patient or tall then lucy is either not generous or not creative.
If someone is either not generous or wise then someone is strong.
Everyone who is curious is not kind.
Everyone who is curious or not curious is ... | Fred is not wise. | neutral | (![X]:((happy(X)<~>~kind(X))<=>(~tall(X)<~>patient(X))))&
(((~patient(mary)<~>tall(mary)))=>((~generous(lucy)<~>~creative(lucy))))&
((?[X]:((~generous(X)<~>wise(X))))=>(?[X]:(strong(X))))&
(![X]:(curious(X)=>~kind(X)))&
(![X]:((curious(X)|~curious(X))=>(~quiet(X)&kind(X))))&
(![X]:((strong(X)|~happy(X))=>(wise(X)&funny... | ~wise(fred) | [] | null | 0 |
Everyone who is kind or not tall is curious. If john is both not quiet and not patient then lucy is not generous and vice versa. Everyone who is both not tall and not patient is not wise and vice versa. Everyone who is tall is funny. If john is not kind or not brave then john is both brave and not old and vice versa. E... | Paul is not creative. | entailment | (![X]:((kind(X)|~tall(X))=>curious(X)))&
(((~quiet(john)&~patient(john)))<=>(~generous(lucy)))&
(![X]:((~tall(X)&~patient(X))<=>~wise(X)))&
(![X]:(tall(X)=>funny(X)))&
(((~kind(john)|~brave(john)))<=>((brave(john)&~old(john))))&
(![X]:(humble(X)=>(~old(X)&calm(X))))&
(![X]:((~tall(X)&rich(X))<=>(~calm(X)|brave(X))))&
(... | ~creative(paul) | [
"p0",
"p5",
"p6",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1316756636118961086960098
% SZS output start Proof for 1316756636118961086960098
1. ! [X0] : ((~tall(X0) | kind(X0)) => curious(X0)) [input p0]
6. ! [X0] : (humble(X0) => (calm(X0) & ~old(X0))) [input p5]
7. ! [X0] : ((rich(X0) & ~tall(X0)) <=> (brave(X0) | ~calm(X0))) [input p6]
14. ! [X... | 0 |
If susan is either not wise or rich then lucy is kind. If john is not wise then someone is both curious and strong. Everyone who is rich is not rich. If paul is not humble or strong then someone is not quiet. Everyone who is happy or not strong is either not curious or generous. If paul is not quiet or kind then john i... | Mary is not tall. | entailment | (((~wise(susan)<~>rich(susan)))=>(kind(lucy)))&
((~wise(john))=>(?[X]:((curious(X)&strong(X)))))&
(![X]:(rich(X)=>~rich(X)))&
(((~humble(paul)|strong(paul)))=>(?[X]:(~quiet(X))))&
(![X]:((happy(X)|~strong(X))=>(~curious(X)<~>generous(X))))&
(((~quiet(paul)|kind(paul)))=>((kind(john)&~wise(john))))&
(((~funny(mary)&pati... | ~tall(mary) | [
"p2",
"p3",
"p6",
"p9",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8225509908715412266567380
% SZS output start Proof for 8225509908715412266567380
3. ! [X0] : (rich(X0) => ~rich(X0)) [input p2]
4. (strong(paul) | ~humble(paul)) => ? [X0] : ~quiet(X0) [input p3]
7. (patient(mary) & ~funny(mary)) <=> (~strong(paul) <~> humble(paul)) [input p6]
10. ! [X0] ... | 0 |
If someone is either calm or not curious then someone is either not brave or not wise and vice versa.
Everyone who is both calm and brave is strong.
Everyone who is not rich is both not brave and not humble.
If susan is either quiet or not wise then alice is not rich or strong and vice versa.
If someone is either patie... | Paul is not kind. | contradiction | ((?[X]:((calm(X)<~>~curious(X))))<=>(?[X]:((~brave(X)<~>~wise(X)))))&
(![X]:((calm(X)&brave(X))=>strong(X)))&
(![X]:(~rich(X)=>(~brave(X)&~humble(X))))&
(((quiet(susan)<~>~wise(susan)))<=>((~rich(alice)|strong(alice))))&
((?[X]:((patient(X)<~>kind(X))))=>(?[X]:((~happy(X)&happy(X)))))&
(![X]:(~calm(X)<=>(humble(X)<~>pa... | ~kind(paul) | [
"p1",
"p4",
"p5",
"p7",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2659824932891110081813835
% SZS output start Proof for 2659824932891110081813835
2. ! [X0] : ((brave(X0) & calm(X0)) => strong(X0)) [input p1]
5. ? [X0] : (patient(X0) <~> kind(X0)) => ? [X0] : (happy(X0) & ~happy(X0)) [input p4]
6. ! [X0] : (~calm(X0) <=> (humble(X0) <~> patient(X0))) [i... | 0 |
Everyone who is either not brave or not generous is both not brave and not strong and vice versa.
Everyone who is strong is either not brave or not rich and vice versa.
Everyone who is tall is either strong or not generous.
Everyone who is either not brave or wise is not old or not brave and vice versa.
Everyone who is... | Mary is not calm. | contradiction | (![X]:((~brave(X)<~>~generous(X))<=>(~brave(X)&~strong(X))))&
(![X]:(strong(X)<=>(~brave(X)<~>~rich(X))))&
(![X]:(tall(X)=>(strong(X)<~>~generous(X))))&
(![X]:((~brave(X)<~>wise(X))<=>(~old(X)|~brave(X))))&
(![X]:((~happy(X)&funny(X))=>(~humble(X)<~>patient(X))))&
((old(alice))=>(?[X]:(~kind(X))))&
(![X]:((quiet(X)<~>~... | ~calm(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3063465735639641303878007
% SZS output start Proof for 3063465735639641303878007
12. ! [X0] : ((tall(X0) & ~tall(X0)) <=> (~calm(X0) | ~wise(X0))) [input p11]
22. ~calm(mary) [input hypothesis]
46. ! [X0] : (((tall(X0) & ~tall(X0)) | (calm(X0) & wise(X0))) & ((~calm(X0) | ~wise(X0)) | (~t... | 0 |
If someone is quiet or not tall then someone is either tall or brave.
If mary is not tall or humble then alice is not wise or not kind.
If someone is calm then lucy is not kind or not generous and vice versa.
If someone is both not tall and curious then fred is old or humble.
If someone is both tall and not humble then... | Mary is kind. | neutral | ((?[X]:((quiet(X)|~tall(X))))=>(?[X]:((tall(X)<~>brave(X)))))&
(((~tall(mary)|humble(mary)))=>((~wise(alice)|~kind(alice))))&
((?[X]:(calm(X)))<=>((~kind(lucy)|~generous(lucy))))&
((?[X]:((~tall(X)&curious(X))))=>((old(fred)|humble(fred))))&
((?[X]:((tall(X)&~humble(X))))=>(~generous(fred)))&
(((wise(paul)|generous(pau... | kind(mary) | [] | null | 0 |
Everyone who is both not curious and happy is curious and vice versa.
If fred is not wise or patient then someone is both not happy and calm and vice versa.
Everyone who is either old or not tall is generous or not quiet and vice versa.
If someone is either not funny or generous then john is either not tall or calm and... | Fred is curious. | contradiction | (![X]:((~curious(X)&happy(X))<=>curious(X)))&
(((~wise(fred)|patient(fred)))<=>(?[X]:((~happy(X)&calm(X)))))&
(![X]:((old(X)<~>~tall(X))<=>(generous(X)|~quiet(X))))&
((?[X]:((~funny(X)<~>generous(X))))<=>((~tall(john)<~>calm(john))))&
(((kind(alice)<~>patient(alice)))=>(?[X]:(~rich(X))))&
(((strong(fred)<~>~creative(fr... | curious(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4974446521247102230634069
% SZS output start Proof for 4974446521247102230634069
1. ! [X0] : ((happy(X0) & ~curious(X0)) <=> curious(X0)) [input p0]
22. curious(fred) [input hypothesis]
30. ! [X0] : (((happy(X0) & ~curious(X0)) | ~curious(X0)) & (curious(X0) | (~happy(X0) | curious(X0))))... | 0 |
Everyone who is curious is funny. Everyone who is not calm or generous is humble and vice versa. If alice is not generous then someone is wise or quiet. Everyone who is either funny or strong is both creative and not quiet and vice versa. If fred is brave or not strong then someone is patient or not patient and vice ve... | Susan is not tall. | contradiction | (![X]:(curious(X)=>funny(X)))&
(![X]:((~calm(X)|generous(X))<=>humble(X)))&
((~generous(alice))=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((funny(X)<~>strong(X))<=>(creative(X)&~quiet(X))))&
(((brave(fred)|~strong(fred)))<=>(?[X]:((patient(X)|~patient(X)))))&
((?[X]:(~curious(X)))=>(?[X]:((curious(X)|creative(X)))))&
(![X]:... | ~tall(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1731662833293003626818097
% SZS output start Proof for 1731662833293003626818097
12. ! [X0] : ((tall(X0) & creative(X0)) <=> (curious(X0) | ~curious(X0))) [input p11]
24. ~tall(susan) [input hypothesis]
51. ! [X0] : (((tall(X0) & creative(X0)) | (~curious(X0) & curious(X0))) & ((curious(X... | 0 |
Everyone who is either not quiet or calm is both not creative and rich and vice versa.
If someone is not generous then paul is humble or patient and vice versa.
Everyone who is not happy is not strong and vice versa.
Everyone who is calm is both calm and not strong.
Everyone who is either kind or tall is not quiet or n... | Mary is strong. | entailment | (![X]:((~quiet(X)<~>calm(X))<=>(~creative(X)&rich(X))))&
((?[X]:(~generous(X)))<=>((humble(paul)|patient(paul))))&
(![X]:(~happy(X)<=>~strong(X)))&
(![X]:(calm(X)=>(calm(X)&~strong(X))))&
(![X]:((kind(X)<~>tall(X))=>(~quiet(X)|~old(X))))&
(((curious(mary)|~kind(mary)))<=>((~quiet(john)|wise(john))))&
(![X]:((~kind(X)|~... | strong(mary) | [
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6448980256336206864423928
% SZS output start Proof for 6448980256336206864423928
7. ! [X0] : ((~tall(X0) | ~kind(X0)) <=> (happy(X0) & ~generous(X0))) [input p6]
13. ! [X0] : ((~humble(X0) & ~happy(X0)) <=> ~tall(X0)) [input p12]
16. ! [X0] : ((strong(X0) & brave(X0)) <=> (tall(X0) | ~fun... | 0 |
Everyone who is tall is not generous. Everyone who is either not patient or not creative is either funny or not funny and vice versa. Everyone who is tall or strong is either humble or not humble. Everyone who is old is old or not old. If someone is not calm then someone is not rich and vice versa. Everyone who is not ... | Susan is strong. | entailment | (![X]:(tall(X)=>~generous(X)))&
(![X]:((~patient(X)<~>~creative(X))<=>(funny(X)<~>~funny(X))))&
(![X]:((tall(X)|strong(X))=>(humble(X)<~>~humble(X))))&
(![X]:(old(X)=>(old(X)|~old(X))))&
((?[X]:(~calm(X)))<=>(?[X]:(~rich(X))))&
(![X]:(~strong(X)<=>(~happy(X)&~rich(X))))&
(![X]:((calm(X)<~>strong(X))<=>(~old(X)&old(X)))... | strong(susan) | [
"p5",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5267513309617800796750132
% SZS output start Proof for 5267513309617800796750132
6. ! [X0] : (~strong(X0) <=> (~rich(X0) & ~happy(X0))) [input p5]
8. ! [X0] : ((brave(X0) & ~quiet(X0)) <=> (~happy(X0) | brave(X0))) [input p7]
23. rich(susan) | ~brave(susan) [input p22]
25. ~strong(susan) ... | 0 |
If someone is not tall then susan is humble or not rich. If someone is happy then mary is not funny. If john is either rich or calm then someone is tall or not tall and vice versa. If someone is either not kind or not calm then someone is both not tall and creative and vice versa. If someone is not brave then alice is ... | Alice is generous. | entailment | ((?[X]:(~tall(X)))=>((humble(susan)|~rich(susan))))&
((?[X]:(happy(X)))=>(~funny(mary)))&
(((rich(john)<~>calm(john)))<=>(?[X]:((tall(X)|~tall(X)))))&
((?[X]:((~kind(X)<~>~calm(X))))<=>(?[X]:((~tall(X)&creative(X)))))&
((?[X]:(~brave(X)))<=>((~rich(alice)&happy(alice))))&
(![X]:((~tall(X)<~>brave(X))<=>(rich(X)&tall(X)... | generous(alice) | [
"p4",
"p5",
"p6",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 759485822961521582593219
% SZS output start Proof for 759485822961521582593219
5. ? [X0] : ~brave(X0) <=> (happy(alice) & ~rich(alice)) [input p4]
6. ! [X0] : ((~tall(X0) <~> brave(X0)) <=> (tall(X0) & rich(X0))) [input p5]
7. ! [X0] : ((~generous(X0) & brave(X0)) <=> (generous(X0) <~> ha... | 0 |
If someone is both tall and not humble then someone is wise or not patient and vice versa. Everyone who is both strong and generous is both humble and not creative and vice versa. Everyone who is either not kind or not brave is not creative. If someone is not curious then mary is not calm or not generous and vice versa... | Mary is not calm. | contradiction | ((?[X]:((tall(X)&~humble(X))))<=>(?[X]:((wise(X)|~patient(X)))))&
(![X]:((strong(X)&generous(X))<=>(humble(X)&~creative(X))))&
(![X]:((~kind(X)<~>~brave(X))=>~creative(X)))&
((?[X]:(~curious(X)))<=>((~calm(mary)|~generous(mary))))&
(![X]:((~old(X)<~>curious(X))=>(curious(X)&~tall(X))))&
(![X]:((~creative(X)&strong(X))=... | ~calm(mary) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6563184449462002359863183
% SZS output start Proof for 6563184449462002359863183
2. ! [X0] : ((generous(X0) & strong(X0)) <=> (~creative(X0) & humble(X0))) [input p1]
4. ? [X0] : ~curious(X0) <=> (~generous(mary) | ~calm(mary)) [input p3]
5. ! [X0] : ((~old(X0) <~> curious(X0)) => (~tall(... | 0 |
Everyone who is both not humble and quiet is either not quiet or patient and vice versa.
Everyone who is either funny or rich is not curious or not funny.
If someone is not humble then someone is both not kind and not quiet and vice versa.
If someone is not tall or not creative then paul is strong.
If lucy is both curi... | Paul is not old. | entailment | (![X]:((~humble(X)&quiet(X))<=>(~quiet(X)<~>patient(X))))&
(![X]:((funny(X)<~>rich(X))=>(~curious(X)|~funny(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((~kind(X)&~quiet(X)))))&
((?[X]:((~tall(X)|~creative(X))))=>(strong(paul)))&
(((curious(lucy)&creative(lucy)))<=>((~curious(susan)<~>~patient(susan))))&
((?[X]:(~funny(X)))=>(... | ~old(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5203078437137871606272486
% SZS output start Proof for 5203078437137871606272486
14. ! [X0] : ((rich(X0) | ~rich(X0)) <=> ~old(X0)) [input p13]
25. old(paul) [input hypothesis]
30. ! [X0] : ((rich(X0) | ~rich(X0)) => ~old(X0)) [unused predicate definition removal 14]
43. ! [X0] : (~old(X0... | 0 |
If paul is either happy or not creative then someone is both not happy and not quiet.
Everyone who is both not wise and old is kind or patient.
If alice is not tall then someone is either funny or rich and vice versa.
If paul is both old and not old then alice is strong or funny and vice versa.
If someone is quiet or r... | Mary is not generous. | contradiction | (((happy(paul)<~>~creative(paul)))=>(?[X]:((~happy(X)&~quiet(X)))))&
(![X]:((~wise(X)&old(X))=>(kind(X)|patient(X))))&
((~tall(alice))<=>(?[X]:((funny(X)<~>rich(X)))))&
(((old(paul)&~old(paul)))<=>((strong(alice)|funny(alice))))&
((?[X]:((quiet(X)|rich(X))))=>(?[X]:((~wise(X)<~>~tall(X)))))&
(![X]:(~strong(X)=>(~brave(... | ~generous(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7414225024695770590684333
% SZS output start Proof for 7414225024695770590684333
22. generous(mary) [input p21]
25. ~generous(mary) [input hypothesis]
135. generous(mary) [cnf transformation 22]
139. ~generous(mary) [cnf transformation 25]
220. 18 <=> generous(mary) [avatar definition]
29... | 0 |
Everyone who is not generous is either curious or not patient. Everyone who is both funny and patient is kind or funny and vice versa. If someone is either not humble or not quiet then someone is both not quiet and not strong and vice versa. If fred is both not creative and not wise then someone is either happy or pati... | Fred is not quiet. | entailment | (![X]:(~generous(X)=>(curious(X)<~>~patient(X))))&
(![X]:((funny(X)&patient(X))<=>(kind(X)|funny(X))))&
((?[X]:((~humble(X)<~>~quiet(X))))<=>(?[X]:((~quiet(X)&~strong(X)))))&
(((~creative(fred)&~wise(fred)))=>(?[X]:((happy(X)<~>patient(X)))))&
(((patient(fred)&humble(fred)))<=>((creative(fred)<~>~tall(fred))))&
(![X]:(... | ~quiet(fred) | [
"p1",
"p4",
"p7",
"p8",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 477403150926056381787634
% SZS output start Proof for 477403150926056381787634
2. ! [X0] : ((patient(X0) & funny(X0)) <=> (funny(X0) | kind(X0))) [input p1]
5. (humble(fred) & patient(fred)) <=> (creative(fred) <~> ~tall(fred)) [input p4]
8. ! [X0] : (old(X0) <=> (~creative(X0) <~> ~quiet... | 0 |
If susan is both rich and not generous then mary is either rich or not generous.
If someone is not quiet or kind then someone is not quiet.
Everyone who is either not humble or not tall is happy or kind.
Everyone who is not brave is either calm or not strong and vice versa.
Everyone who is wise is either not generous o... | Fred is not patient. | neutral | (((rich(susan)&~generous(susan)))=>((rich(mary)<~>~generous(mary))))&
((?[X]:((~quiet(X)|kind(X))))=>(?[X]:(~quiet(X))))&
(![X]:((~humble(X)<~>~tall(X))=>(happy(X)|kind(X))))&
(![X]:(~brave(X)<=>(calm(X)<~>~strong(X))))&
(![X]:(wise(X)=>(~generous(X)<~>brave(X))))&
(![X]:((happy(X)&calm(X))=>(~humble(X)&old(X))))&
(![X... | ~patient(fred) | [] | null | 0 |
If someone is both not patient and funny then john is not kind or not curious. If someone is both quiet and old then someone is both strong and not strong. Everyone who is not kind or patient is both not quiet and creative. If john is not strong then someone is either rich or not humble and vice versa. If someone is ei... | Alice is not rich. | neutral | ((?[X]:((~patient(X)&funny(X))))=>((~kind(john)|~curious(john))))&
((?[X]:((quiet(X)&old(X))))=>(?[X]:((strong(X)&~strong(X)))))&
(![X]:((~kind(X)|patient(X))=>(~quiet(X)&creative(X))))&
((~strong(john))<=>(?[X]:((rich(X)<~>~humble(X)))))&
((?[X]:((creative(X)<~>kind(X))))=>((patient(mary)&~old(mary))))&
(![X]:(wise(X)... | ~rich(alice) | [] | null | 0 |
Everyone who is either not brave or not happy is not funny. Everyone who is not quiet or not curious is not kind or not humble. Everyone who is either brave or not rich is not calm and vice versa. Everyone who is brave or not tall is brave or strong and vice versa. If someone is creative then someone is both calm and n... | Susan is not wise. | entailment | (![X]:((~brave(X)<~>~happy(X))=>~funny(X)))&
(![X]:((~quiet(X)|~curious(X))=>(~kind(X)|~humble(X))))&
(![X]:((brave(X)<~>~rich(X))<=>~calm(X)))&
(![X]:((brave(X)|~tall(X))<=>(brave(X)|strong(X))))&
((?[X]:(creative(X)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:(quiet(X)=>(funny(X)|patient(X))))&
(![X]:(~happy(X)<=>(~rich(... | ~wise(susan) | [
"p4",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 90921387931112699710361
% SZS output start Proof for 90921387931112699710361
5. ? [X0] : creative(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [input p4]
12. ! [X0] : (quiet(X0) <=> creative(X0)) [input p11]
13. ! [X0] : (~quiet(X0) => (~quiet(X0) & ~wise(X0))) [input p12]
22. wise(susan) [inp... | 0 |
If john is curious then john is not strong or not curious and vice versa. If lucy is not strong then someone is not brave or not wise and vice versa. Everyone who is not generous is not happy or not calm. If someone is not tall then someone is not kind and vice versa. If alice is both not generous and not brave then ma... | Alice is not wise. | entailment | ((curious(john))<=>((~strong(john)|~curious(john))))&
((~strong(lucy))<=>(?[X]:((~brave(X)|~wise(X)))))&
(![X]:(~generous(X)=>(~happy(X)|~calm(X))))&
((?[X]:(~tall(X)))<=>(?[X]:(~kind(X))))&
(((~generous(alice)&~brave(alice)))=>(strong(mary)))&
((?[X]:((calm(X)|~wise(X))))=>(?[X]:((~wise(X)&~quiet(X)))))&
((wise(fred))... | ~wise(alice) | [
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8227193189772138977657475
% SZS output start Proof for 8227193189772138977657475
12. ! [X0] : (~funny(X0) <=> (~patient(X0) & curious(X0))) [input p11]
13. ! [X0] : ((patient(X0) | ~humble(X0)) <=> wise(X0)) [input p12]
14. ! [X0] : (~kind(X0) <=> (patient(X0) & wise(X0))) [input p13]
15.... | 0 |
If someone is not curious then someone is not wise or not kind and vice versa. If someone is not generous then susan is old and vice versa. Everyone who is either tall or not creative is not quiet and vice versa. If alice is both not calm and not generous then susan is either generous or not strong and vice versa. Ever... | John is rich. | neutral | ((?[X]:(~curious(X)))<=>(?[X]:((~wise(X)|~kind(X)))))&
((?[X]:(~generous(X)))<=>(old(susan)))&
(![X]:((tall(X)<~>~creative(X))<=>~quiet(X)))&
(((~calm(alice)&~generous(alice)))<=>((generous(susan)<~>~strong(susan))))&
(![X]:((rich(X)<~>~rich(X))<=>(patient(X)<~>rich(X))))&
(![X]:((happy(X)<~>wise(X))<=>patient(X)))&
(!... | rich(john) | [] | null | 0 |
Everyone who is both not happy and old is not strong.
Everyone who is both not brave and calm is not wise.
If someone is not tall or not quiet then someone is not funny or not rich and vice versa.
Everyone who is both not rich and not brave is strong or curious.
If paul is not curious then john is either rich or humble... | John is not strong. | neutral | (![X]:((~happy(X)&old(X))=>~strong(X)))&
(![X]:((~brave(X)&calm(X))=>~wise(X)))&
((?[X]:((~tall(X)|~quiet(X))))<=>(?[X]:((~funny(X)|~rich(X)))))&
(![X]:((~rich(X)&~brave(X))=>(strong(X)|curious(X))))&
((~curious(paul))=>((rich(john)<~>humble(john))))&
((?[X]:((~patient(X)&tall(X))))=>(?[X]:((~generous(X)&happy(X)))))&
... | ~strong(john) | [] | null | 0 |
Everyone who is not creative or not humble is either kind or quiet.
If someone is both tall and patient then john is not funny and vice versa.
If john is both not humble and rich then fred is either not funny or not wise.
Everyone who is both not kind and curious is either not happy or brave and vice versa.
If someone ... | Fred is not happy. | entailment | (![X]:((~creative(X)|~humble(X))=>(kind(X)<~>quiet(X))))&
((?[X]:((tall(X)&patient(X))))<=>(~funny(john)))&
(((~humble(john)&rich(john)))=>((~funny(fred)<~>~wise(fred))))&
(![X]:((~kind(X)&curious(X))<=>(~happy(X)<~>brave(X))))&
((?[X]:((humble(X)|patient(X))))=>(?[X]:((generous(X)<~>brave(X)))))&
(![X]:((~kind(X)|~fun... | ~happy(fred) | [
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 877931606530073282225236
% SZS output start Proof for 877931606530073282225236
10. ! [X0] : ((~happy(X0) <~> ~wise(X0)) <=> (~brave(X0) & wise(X0))) [input p9]
24. wise(fred) & ~brave(fred) [input p23]
25. happy(fred) [input hypothesis]
57. ! [X0] : ((((wise(X0) | happy(X0)) & (~wise(X0) ... | 0 |
If someone is not rich then someone is creative or not calm.
Everyone who is either generous or not strong is not tall and vice versa.
If someone is tall or brave then alice is generous or not curious and vice versa.
Everyone who is both not humble and not calm is not rich.
If paul is both not humble and rich then lucy... | Susan is not curious. | contradiction | ((?[X]:(~rich(X)))=>(?[X]:((creative(X)|~calm(X)))))&
(![X]:((generous(X)<~>~strong(X))<=>~tall(X)))&
((?[X]:((tall(X)|brave(X))))<=>((generous(alice)|~curious(alice))))&
(![X]:((~humble(X)&~calm(X))=>~rich(X)))&
(((~humble(paul)&rich(paul)))<=>((~generous(lucy)|~brave(lucy))))&
((~curious(mary))<=>(~old(john)))&
(![X]... | ~curious(susan) | [
"p1",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 19316327183715375626672
% SZS output start Proof for 19316327183715375626672
2. ! [X0] : ((generous(X0) <~> ~strong(X0)) <=> ~tall(X0)) [input p1]
10. ! [X0] : ((~curious(X0) | creative(X0)) <=> (~creative(X0) & ~happy(X0))) [input p9]
15. ! [X0] : ((generous(X0) & tall(X0)) <=> (calm(X0)... | 0 |
If mary is both patient and not strong then someone is funny.
If lucy is both not tall and patient then someone is old and vice versa.
Everyone who is not creative or strong is either quiet or old.
If someone is either strong or curious then john is not wise and vice versa.
If someone is either not strong or not quiet ... | Mary is humble. | neutral | (((patient(mary)&~strong(mary)))=>(?[X]:(funny(X))))&
(((~tall(lucy)&patient(lucy)))<=>(?[X]:(old(X))))&
(![X]:((~creative(X)|strong(X))=>(quiet(X)<~>old(X))))&
((?[X]:((strong(X)<~>curious(X))))<=>(~wise(john)))&
((?[X]:((~strong(X)<~>~quiet(X))))=>(~calm(fred)))&
((?[X]:((~quiet(X)&generous(X))))=>((~calm(paul)&~gene... | humble(mary) | [] | null | 0 |
If someone is creative or not kind then someone is not patient. Everyone who is not calm is brave. If john is both quiet and strong then someone is both quiet and not tall and vice versa. Everyone who is both not rich and not kind is curious. Everyone who is not curious is rich or not curious. Everyone who is not kind ... | Alice is not patient. | contradiction | ((?[X]:((creative(X)|~kind(X))))=>(?[X]:(~patient(X))))&
(![X]:(~calm(X)=>brave(X)))&
(((quiet(john)&strong(john)))<=>(?[X]:((quiet(X)&~tall(X)))))&
(![X]:((~rich(X)&~kind(X))=>curious(X)))&
(![X]:(~curious(X)=>(rich(X)|~curious(X))))&
(![X]:((~kind(X)|~wise(X))=>(~quiet(X)&tall(X))))&
((?[X]:(brave(X)))<=>(?[X]:((humb... | ~patient(alice) | [
"p2",
"p5",
"p7",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2307621276436918806850213
% SZS output start Proof for 2307621276436918806850213
3. (strong(john) & quiet(john)) <=> ? [X0] : (~tall(X0) & quiet(X0)) [input p2]
6. ! [X0] : ((~wise(X0) | ~kind(X0)) => (tall(X0) & ~quiet(X0))) [input p5]
8. ! [X0] : ((~tall(X0) & ~humble(X0)) <=> (~humble(... | 0 |
If fred is not happy or calm then someone is either brave or not strong and vice versa. Everyone who is not kind or humble is either rich or not generous. Everyone who is rich is either generous or not calm. If john is both funny and not kind then someone is not happy or humble. If lucy is not creative or not curious t... | Fred is not wise. | contradiction | (((~happy(fred)|calm(fred)))<=>(?[X]:((brave(X)<~>~strong(X)))))&
(![X]:((~kind(X)|humble(X))=>(rich(X)<~>~generous(X))))&
(![X]:(rich(X)=>(generous(X)<~>~calm(X))))&
(((funny(john)&~kind(john)))=>(?[X]:((~happy(X)|humble(X)))))&
(((~creative(lucy)|~curious(lucy)))=>(?[X]:((wise(X)&happy(X)))))&
((wise(fred))=>(?[X]:((... | ~wise(fred) | [
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2040188449439830688807582
% SZS output start Proof for 2040188449439830688807582
8. ! [X0] : ((kind(X0) <~> tall(X0)) <=> (tall(X0) | patient(X0))) [input p7]
12. ! [X0] : ((wise(X0) & tall(X0)) <=> (~calm(X0) | patient(X0))) [input p11]
15. ! [X0] : (~kind(X0) <=> (quiet(X0) & ~calm(X0))... | 0 |
Everyone who is not tall is both not brave and happy.
If someone is brave then someone is curious or happy and vice versa.
If someone is both rich and creative then mary is either not strong or happy.
Everyone who is brave is not patient and vice versa.
Everyone who is tall is not creative or funny and vice versa.
Ever... | John is tall. | entailment | (![X]:(~tall(X)=>(~brave(X)&happy(X))))&
((?[X]:(brave(X)))<=>(?[X]:((curious(X)|happy(X)))))&
((?[X]:((rich(X)&creative(X))))=>((~strong(mary)<~>happy(mary))))&
(![X]:(brave(X)<=>~patient(X)))&
(![X]:(tall(X)<=>(~creative(X)|funny(X))))&
(![X]:((~patient(X)|curious(X))<=>wise(X)))&
(![X]:((humble(X)<~>kind(X))=>(rich(... | tall(john) | [
"p0",
"p4",
"p10",
"p12",
"p15",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 397139708354722192745161
% SZS output start Proof for 397139708354722192745161
1. ! [X0] : (~tall(X0) => (happy(X0) & ~brave(X0))) [input p0]
5. ! [X0] : (tall(X0) <=> (funny(X0) | ~creative(X0))) [input p4]
11. ! [X0] : ((~patient(X0) | ~funny(X0)) => (brave(X0) | ~calm(X0))) [input p10]... | 0 |
If alice is both not old and not calm then someone is not happy or funny.
If mary is not wise or patient then someone is not kind or patient.
If mary is either not happy or not funny then someone is both not wise and not curious and vice versa.
Everyone who is either quiet or curious is creative or not funny.
If paul i... | Mary is not brave. | contradiction | (((~old(alice)&~calm(alice)))=>(?[X]:((~happy(X)|funny(X)))))&
(((~wise(mary)|patient(mary)))=>(?[X]:((~kind(X)|patient(X)))))&
(((~happy(mary)<~>~funny(mary)))<=>(?[X]:((~wise(X)&~curious(X)))))&
(![X]:((quiet(X)<~>curious(X))=>(creative(X)|~funny(X))))&
(((happy(paul)<~>~happy(paul)))<=>(?[X]:(old(X))))&
(![X]:((old(... | ~brave(mary) | [
"p5",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2300098145432325995416893
% SZS output start Proof for 2300098145432325995416893
6. ! [X0] : ((~humble(X0) & old(X0)) <=> ~strong(X0)) [input p5]
8. ! [X0] : ((~strong(X0) <~> ~old(X0)) <=> (calm(X0) & ~calm(X0))) [input p7]
10. ! [X0] : ((wise(X0) | brave(X0)) <=> (~funny(X0) | strong(X0... | 0 |
Everyone who is not rich or not strong is both not creative and curious and vice versa. If fred is both not funny and not wise then someone is patient and vice versa. If someone is both not happy and not wise then someone is not wise or curious and vice versa. If paul is curious then someone is both not old and humble.... | Susan is not curious. | entailment | (![X]:((~rich(X)|~strong(X))<=>(~creative(X)&curious(X))))&
(((~funny(fred)&~wise(fred)))<=>(?[X]:(patient(X))))&
((?[X]:((~happy(X)&~wise(X))))<=>(?[X]:((~wise(X)|curious(X)))))&
((curious(paul))=>(?[X]:((~old(X)&humble(X)))))&
(![X]:((~generous(X)&~calm(X))=>(~curious(X)|~strong(X))))&
(![X]:((kind(X)<~>~strong(X))<=... | ~curious(susan) | [
"p0",
"p1",
"p7",
"p8",
"p10",
"p11",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2358968886188178424865064
% SZS output start Proof for 2358968886188178424865064
1. ! [X0] : ((~strong(X0) | ~rich(X0)) <=> (curious(X0) & ~creative(X0))) [input p0]
2. (~wise(fred) & ~funny(fred)) <=> ? [X0] : patient(X0) [input p1]
8. ? [X0] : patient(X0) <=> ? [X0] : (calm(X0) <~> crea... | 0 |
Everyone who is either not patient or not curious is patient or not kind and vice versa.
If someone is generous or patient then paul is both generous and not calm.
Everyone who is creative is either not wise or not tall.
Everyone who is wise or not wise is not rich or not quiet and vice versa.
If someone is not brave o... | Fred is kind. | contradiction | (![X]:((~patient(X)<~>~curious(X))<=>(patient(X)|~kind(X))))&
((?[X]:((generous(X)|patient(X))))=>((generous(paul)&~calm(paul))))&
(![X]:(creative(X)=>(~wise(X)<~>~tall(X))))&
(![X]:((wise(X)|~wise(X))<=>(~rich(X)|~quiet(X))))&
((?[X]:((~brave(X)|quiet(X))))=>(~patient(susan)))&
(![X]:((~quiet(X)<~>~funny(X))=>(~brave(... | kind(fred) | [
"p0",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 318745697151650329281656
% SZS output start Proof for 318745697151650329281656
1. ! [X0] : ((~patient(X0) <~> ~curious(X0)) <=> (~kind(X0) | patient(X0))) [input p0]
9. ! [X0] : ((~kind(X0) & ~generous(X0)) <=> (curious(X0) <~> strong(X0))) [input p8]
17. strong(fred) & wise(fred) [input ... | 0 |
Everyone who is both brave and not curious is either rich or not happy.
Everyone who is wise or not generous is either not brave or not tall.
If someone is either curious or not strong then someone is either rich or not funny.
If alice is either strong or not rich then paul is not wise and vice versa.
If fred is not ri... | John is creative. | contradiction | (![X]:((brave(X)&~curious(X))=>(rich(X)<~>~happy(X))))&
(![X]:((wise(X)|~generous(X))=>(~brave(X)<~>~tall(X))))&
((?[X]:((curious(X)<~>~strong(X))))=>(?[X]:((rich(X)<~>~funny(X)))))&
(((strong(alice)<~>~rich(alice)))<=>(~wise(paul)))&
(((~rich(fred)|~strong(fred)))=>(~patient(mary)))&
(![X]:((generous(X)&strong(X))<=>(... | creative(john) | [
"p5",
"p8",
"p10",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5802864331324320477483170
% SZS output start Proof for 5802864331324320477483170
6. ! [X0] : ((strong(X0) & generous(X0)) <=> (rich(X0) & humble(X0))) [input p5]
9. (creative(john) | calm(john)) => (~generous(paul) & kind(paul)) [input p8]
11. ! [X0] : ((humble(X0) <~> kind(X0)) <=> (wise... | 0 |
If lucy is calm then someone is wise or not wise and vice versa.
Everyone who is either not patient or not quiet is either humble or not funny and vice versa.
Everyone who is not rich is both funny and not quiet and vice versa.
Everyone who is either strong or not tall is either rich or strong.
Everyone who is curious ... | Alice is generous. | entailment | ((calm(lucy))<=>(?[X]:((wise(X)|~wise(X)))))&
(![X]:((~patient(X)<~>~quiet(X))<=>(humble(X)<~>~funny(X))))&
(![X]:(~rich(X)<=>(funny(X)&~quiet(X))))&
(![X]:((strong(X)<~>~tall(X))=>(rich(X)<~>strong(X))))&
(![X]:((curious(X)|kind(X))<=>calm(X)))&
((?[X]:((generous(X)|rich(X))))=>(?[X]:((~kind(X)&tall(X)))))&
(![X]:((cu... | generous(alice) | [
"p2",
"p9",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8179172622741004708388894
% SZS output start Proof for 8179172622741004708388894
3. ! [X0] : (~rich(X0) <=> (~quiet(X0) & funny(X0))) [input p2]
10. ! [X0] : ((creative(X0) & ~generous(X0)) <=> ~funny(X0)) [input p9]
19. ~creative(alice) <~> ~rich(alice) [input p18]
21. ~quiet(alice) [inp... | 0 |
If paul is patient then john is kind or not patient.
If alice is patient then susan is not funny or quiet and vice versa.
Everyone who is humble or not curious is either not generous or not wise and vice versa.
If someone is both wise and not brave then lucy is patient or rich.
Everyone who is not quiet is either calm ... | Mary is quiet. | contradiction | ((patient(paul))=>((kind(john)|~patient(john))))&
((patient(alice))<=>((~funny(susan)|quiet(susan))))&
(![X]:((humble(X)|~curious(X))<=>(~generous(X)<~>~wise(X))))&
((?[X]:((wise(X)&~brave(X))))=>((patient(lucy)|rich(lucy))))&
(![X]:(~quiet(X)=>(calm(X)<~>~calm(X))))&
((~rich(susan))=>((~calm(lucy)|~patient(lucy))))&
(... | quiet(mary) | [
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3378309381961519849358366
% SZS output start Proof for 3378309381961519849358366
13. ? [X0] : (~quiet(X0) <~> wise(X0)) <=> old(susan) [input p12]
14. ! [X0] : ((~old(X0) | ~wise(X0)) <=> (wise(X0) & ~brave(X0))) [input p13]
20. patient(susan) & ~brave(susan) [input p19]
23. quiet(mary) [... | 0 |
Everyone who is either not generous or not humble is not patient or calm and vice versa. Everyone who is either patient or not quiet is happy or not kind and vice versa. If someone is both tall and not tall then someone is either humble or rich and vice versa. If someone is happy or generous then susan is not generous ... | Susan is not quiet. | entailment | (![X]:((~generous(X)<~>~humble(X))<=>(~patient(X)|calm(X))))&
(![X]:((patient(X)<~>~quiet(X))<=>(happy(X)|~kind(X))))&
((?[X]:((tall(X)&~tall(X))))<=>(?[X]:((humble(X)<~>rich(X)))))&
((?[X]:((happy(X)|generous(X))))=>((~generous(susan)|~quiet(susan))))&
((?[X]:(kind(X)))=>(creative(susan)))&
(![X]:((generous(X)<~>calm(... | ~quiet(susan) | [
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 807277168394720145350323
% SZS output start Proof for 807277168394720145350323
4. ? [X0] : (generous(X0) | happy(X0)) => (~quiet(susan) | ~generous(susan)) [input p3]
5. ? [X0] : kind(X0) => creative(susan) [input p4]
7. ! [X0] : ((brave(X0) | ~strong(X0)) => (brave(X0) <~> wise(X0))) [in... | 0 |
Everyone who is both not quiet and not tall is not wise or not curious.
If paul is both calm and not brave then mary is either curious or tall.
If someone is tall or not patient then someone is not patient.
Everyone who is not wise or not curious is generous and vice versa.
Everyone who is both not humble and not creat... | Mary is not funny. | neutral | (![X]:((~quiet(X)&~tall(X))=>(~wise(X)|~curious(X))))&
(((calm(paul)&~brave(paul)))=>((curious(mary)<~>tall(mary))))&
((?[X]:((tall(X)|~patient(X))))=>(?[X]:(~patient(X))))&
(![X]:((~wise(X)|~curious(X))<=>generous(X)))&
(![X]:((~humble(X)&~creative(X))<=>(tall(X)&~brave(X))))&
((~rich(lucy))=>((~funny(mary)<~>~generou... | ~funny(mary) | [] | null | 0 |
Everyone who is either quiet or not tall is either not quiet or not funny and vice versa.
If lucy is not patient then someone is not strong and vice versa.
If someone is not humble then mary is not kind and vice versa.
Everyone who is funny is not funny or wise and vice versa.
Everyone who is not strong or patient is n... | Fred is not brave. | contradiction | (![X]:((quiet(X)<~>~tall(X))<=>(~quiet(X)<~>~funny(X))))&
((~patient(lucy))<=>(?[X]:(~strong(X))))&
((?[X]:(~humble(X)))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(![X]:((~quiet(X)&~kind(X))<=>tal... | ~brave(fred) | [
"p2",
"p3",
"p6",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6793068082514787481660202
% SZS output start Proof for 6793068082514787481660202
3. ? [X0] : ~humble(X0) <=> ~kind(mary) [input p2]
4. ! [X0] : (funny(X0) <=> (wise(X0) | ~funny(X0))) [input p3]
7. ! [X0] : ((~kind(X0) & ~quiet(X0)) <=> tall(X0)) [input p6]
8. ! [X0] : ((~curious(X0) <~> ... | 0 |
If paul is either not generous or not wise then mary is both funny and not old and vice versa.
If lucy is both calm and curious then someone is either not old or not curious and vice versa.
Everyone who is both tall and not generous is rich or curious.
Everyone who is either not generous or not strong is not generous a... | John is not rich. | entailment | (((~generous(paul)<~>~wise(paul)))<=>((funny(mary)&~old(mary))))&
(((calm(lucy)&curious(lucy)))<=>(?[X]:((~old(X)<~>~curious(X)))))&
(![X]:((tall(X)&~generous(X))=>(rich(X)|curious(X))))&
(![X]:((~generous(X)<~>~strong(X))<=>~generous(X)))&
(![X]:(rich(X)<=>(~curious(X)|humble(X))))&
(((~kind(susan)|~humble(susan)))<=>... | ~rich(john) | [
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 18267860614297597274314
% SZS output start Proof for 18267860614297597274314
14. ! [X0] : ((~wise(X0) & old(X0)) <=> (~kind(X0) | rich(X0))) [input p13]
18. wise(john) [input p17]
25. rich(john) [input hypothesis]
54. ! [X0] : (((~wise(X0) & old(X0)) | (kind(X0) & ~rich(X0))) & ((~kind(X0... | 0 |
If someone is calm then someone is either funny or not curious and vice versa. Everyone who is either not kind or rich is either quiet or creative and vice versa. Everyone who is not curious or tall is both not funny and not patient and vice versa. Everyone who is humble is either old or kind. If someone is either not ... | Paul is calm. | neutral | ((?[X]:(calm(X)))<=>(?[X]:((funny(X)<~>~curious(X)))))&
(![X]:((~kind(X)<~>rich(X))<=>(quiet(X)<~>creative(X))))&
(![X]:((~curious(X)|tall(X))<=>(~funny(X)&~patient(X))))&
(![X]:(humble(X)=>(old(X)<~>kind(X))))&
((?[X]:((~rich(X)<~>old(X))))=>(?[X]:((~curious(X)<~>patient(X)))))&
((?[X]:((wise(X)<~>rich(X))))<=>(?[X]:(... | calm(paul) | [] | null | 0 |
Everyone who is both happy and not rich is both quiet and calm.
If someone is both not old and not rich then paul is strong.
If alice is kind then someone is both not curious and not humble.
If susan is wise or creative then paul is funny or not creative.
If someone is either generous or not humble then mary is both no... | Mary is patient. | contradiction | (![X]:((happy(X)&~rich(X))=>(quiet(X)&calm(X))))&
((?[X]:((~old(X)&~rich(X))))=>(strong(paul)))&
((kind(alice))=>(?[X]:((~curious(X)&~humble(X)))))&
(((wise(susan)|creative(susan)))=>((funny(paul)|~creative(paul))))&
((?[X]:((generous(X)<~>~humble(X))))=>((~creative(mary)&~kind(mary))))&
((?[X]:((~curious(X)&~tall(X)))... | patient(mary) | [
"p0",
"p6",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 555024970829460381921899
% SZS output start Proof for 555024970829460381921899
1. ! [X0] : ((~rich(X0) & happy(X0)) => (calm(X0) & quiet(X0))) [input p0]
7. ! [X0] : ((~rich(X0) | ~funny(X0)) <=> (~curious(X0) <~> patient(X0))) [input p6]
8. ! [X0] : ((~old(X0) & ~curious(X0)) <=> ~funny(... | 0 |
Everyone who is tall or patient is strong and vice versa. Everyone who is old or not rich is brave and vice versa. Everyone who is humble or not quiet is tall and vice versa. Everyone who is either not humble or not wise is either not wise or brave. Everyone who is both not kind and not calm is both curious and not fun... | Fred is not funny. | neutral | (![X]:((tall(X)|patient(X))<=>strong(X)))&
(![X]:((old(X)|~rich(X))<=>brave(X)))&
(![X]:((humble(X)|~quiet(X))<=>tall(X)))&
(![X]:((~humble(X)<~>~wise(X))=>(~wise(X)<~>brave(X))))&
(![X]:((~kind(X)&~calm(X))<=>(curious(X)&~funny(X))))&
(((~calm(paul)<~>brave(paul)))<=>(?[X]:(~rich(X))))&
(![X]:((~curious(X)<~>~strong(X... | ~funny(fred) | [] | null | 0 |
Everyone who is both not quiet and not happy is not kind and vice versa.
If someone is both not strong and old then someone is either not kind or not curious.
If someone is wise or not generous then alice is kind or not quiet and vice versa.
Everyone who is not funny is humble and vice versa.
If someone is old or not f... | Fred is not creative. | entailment | (![X]:((~quiet(X)&~happy(X))<=>~kind(X)))&
((?[X]:((~strong(X)&old(X))))=>(?[X]:((~kind(X)<~>~curious(X)))))&
((?[X]:((wise(X)|~generous(X))))<=>((kind(alice)|~quiet(alice))))&
(![X]:(~funny(X)<=>humble(X)))&
((?[X]:((old(X)|~funny(X))))<=>(?[X]:(~old(X))))&
((?[X]:((~kind(X)&wise(X))))=>(?[X]:((brave(X)<~>~rich(X)))))... | ~creative(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8168607019562017856719100
% SZS output start Proof for 8168607019562017856719100
12. ! [X0] : ((~strong(X0) | creative(X0)) => ~creative(X0)) [input p11]
20. creative(fred) [input hypothesis]
27. ! [X0] : (creative(X0) => ~creative(X0)) [pure predicate removal 12]
31. ! [X0] : (~creative(... | 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 ... | Susan is strong. | 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... | strong(susan) | [] | null | 0 |
If someone is patient or not rich then susan is not old. Everyone who is either not kind or funny is either old or rich and vice versa. Everyone who is both not humble and not quiet is humble or not patient and vice versa. Everyone who is rich or old is not kind and vice versa. If susan is strong then john is both not ... | Paul is rich. | entailment | ((?[X]:((patient(X)|~rich(X))))=>(~old(susan)))&
(![X]:((~kind(X)<~>funny(X))<=>(old(X)<~>rich(X))))&
(![X]:((~humble(X)&~quiet(X))<=>(humble(X)|~patient(X))))&
(![X]:((rich(X)|old(X))<=>~kind(X)))&
((strong(susan))<=>((~rich(john)&~generous(john))))&
(![X]:((tall(X)&~quiet(X))<=>(old(X)|happy(X))))&
(![X]:(curious(X)=... | rich(paul) | [
"p1",
"p3",
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 910424838355091320368295
% SZS output start Proof for 910424838355091320368295
2. ! [X0] : ((~kind(X0) <~> funny(X0)) <=> (old(X0) <~> rich(X0))) [input p1]
4. ! [X0] : ((old(X0) | rich(X0)) <=> ~kind(X0)) [input p3]
7. ! [X0] : (curious(X0) => (~curious(X0) & ~old(X0))) [input p6]
11. ? ... | 0 |
Everyone who is both not funny and not old is either brave or old and vice versa.
Everyone who is humble is both not funny and humble.
Everyone who is generous is calm or patient.
If susan is both not old and not creative then someone is not funny and vice versa.
Everyone who is either not humble or kind is both genero... | Alice is rich. | contradiction | (![X]:((~funny(X)&~old(X))<=>(brave(X)<~>old(X))))&
(![X]:(humble(X)=>(~funny(X)&humble(X))))&
(![X]:(generous(X)=>(calm(X)|patient(X))))&
(((~old(susan)&~creative(susan)))<=>(?[X]:(~funny(X))))&
(![X]:((~humble(X)<~>kind(X))<=>(generous(X)&~kind(X))))&
(![X]:((~generous(X)&~funny(X))<=>(~generous(X)<~>wise(X))))&
(![X... | rich(alice) | [
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3194731726908316905922889
% SZS output start Proof for 3194731726908316905922889
15. ! [X0] : ((~kind(X0) | ~old(X0)) => ~rich(X0)) [input p14]
16. ~old(alice) [input p15]
19. rich(alice) [input hypothesis]
34. ! [X0] : (~rich(X0) | (kind(X0) & old(X0))) [ennf transformation 15]
102. ~ric... | 0 |
If someone is both patient and happy then john is both brave and generous and vice versa. Everyone who is both not patient and humble is both not strong and not kind and vice versa. Everyone who is both not old and not rich is not rich. If someone is not curious or not generous then someone is either calm or strong. Ev... | Fred is strong. | contradiction | ((?[X]:((patient(X)&happy(X))))<=>((brave(john)&generous(john))))&
(![X]:((~patient(X)&humble(X))<=>(~strong(X)&~kind(X))))&
(![X]:((~old(X)&~rich(X))=>~rich(X)))&
((?[X]:((~curious(X)|~generous(X))))=>(?[X]:((calm(X)<~>strong(X)))))&
(![X]:((brave(X)|~tall(X))=>(~creative(X)&~strong(X))))&
(![X]:(brave(X)<=>(humble(X)... | strong(fred) | [
"p4",
"p6",
"p8",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5049848658531318807143631
% SZS output start Proof for 5049848658531318807143631
5. ! [X0] : ((~tall(X0) | brave(X0)) => (~strong(X0) & ~creative(X0))) [input p4]
7. ! [X0] : (rich(X0) <=> creative(X0)) [input p6]
9. ! [X0] : ((~old(X0) <~> ~kind(X0)) => kind(X0)) [input p8]
11. ! [X0] : ... | 0 |
Everyone who is not calm is rich and vice versa. If someone is both not strong and not humble then someone is old and vice versa. Everyone who is either funny or not patient is either not wise or not calm. Everyone who is strong or rich is not patient or not quiet and vice versa. Everyone who is both quiet and not happ... | Mary is not creative. | neutral | (![X]:(~calm(X)<=>rich(X)))&
((?[X]:((~strong(X)&~humble(X))))<=>(?[X]:(old(X))))&
(![X]:((funny(X)<~>~patient(X))=>(~wise(X)<~>~calm(X))))&
(![X]:((strong(X)|rich(X))<=>(~patient(X)|~quiet(X))))&
(![X]:((quiet(X)&~happy(X))=>(generous(X)<~>~patient(X))))&
(![X]:((patient(X)|generous(X))=>(funny(X)<~>~patient(X))))&
(!... | ~creative(mary) | [] | null | 0 |
Everyone who is not creative is not brave or not tall and vice versa.
If mary is patient or kind then someone is not strong.
Everyone who is not kind is not wise or not quiet and vice versa.
If lucy is not humble then someone is not curious.
Everyone who is both not happy and not creative is both not rich and not patie... | Susan is not tall. | contradiction | (![X]:(~creative(X)<=>(~brave(X)|~tall(X))))&
(((patient(mary)|kind(mary)))=>(?[X]:(~strong(X))))&
(![X]:(~kind(X)<=>(~wise(X)|~quiet(X))))&
((~humble(lucy))=>(?[X]:(~curious(X))))&
(![X]:((~happy(X)&~creative(X))<=>(~rich(X)&~patient(X))))&
(![X]:((humble(X)&generous(X))<=>(brave(X)|tall(X))))&
(![X]:(patient(X)<=>gen... | ~tall(susan) | [
"p2",
"p10",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 49197581495000074769371
% SZS output start Proof for 49197581495000074769371
3. ! [X0] : (~kind(X0) <=> (~quiet(X0) | ~wise(X0))) [input p2]
11. ! [X0] : ((~happy(X0) | kind(X0)) <=> ~kind(X0)) [input p10]
17. tall(susan) <~> quiet(susan) [input p16]
20. wise(susan) | kind(susan) [input p... | 0 |
If fred is both not strong and humble then someone is either brave or calm. If someone is not brave or wise then john is either not old or not rich and vice versa. Everyone who is not happy is either not quiet or not calm and vice versa. If someone is both tall and not rich then susan is either not funny or not tall. I... | Paul is not brave. | entailment | (((~strong(fred)&humble(fred)))=>(?[X]:((brave(X)<~>calm(X)))))&
((?[X]:((~brave(X)|wise(X))))<=>((~old(john)<~>~rich(john))))&
(![X]:(~happy(X)<=>(~quiet(X)<~>~calm(X))))&
((?[X]:((tall(X)&~rich(X))))=>((~funny(susan)<~>~tall(susan))))&
((?[X]:((kind(X)<~>tall(X))))=>(wise(lucy)))&
((?[X]:((creative(X)&happy(X))))<=>(... | ~brave(paul) | [
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4181276073945828759217514
% SZS output start Proof for 4181276073945828759217514
12. brave(paul) => funny(alice) [input p11]
16. ! [X0] : ((~rich(X0) | rich(X0)) <=> ~funny(X0)) [input p15]
25. brave(paul) [input hypothesis]
36. funny(alice) | ~brave(paul) [ennf transformation 12]
66. ! [... | 0 |
Everyone who is either not calm or not patient is calm or not strong.
If someone is not rich then someone is quiet and vice versa.
Everyone who is both not kind and creative is wise.
Everyone who is either brave or generous is either generous or happy.
If paul is not old or not tall then someone is not brave.
Everyone ... | Mary is creative. | neutral | (![X]:((~calm(X)<~>~patient(X))=>(calm(X)|~strong(X))))&
((?[X]:(~rich(X)))<=>(?[X]:(quiet(X))))&
(![X]:((~kind(X)&creative(X))=>wise(X)))&
(![X]:((brave(X)<~>generous(X))=>(generous(X)<~>happy(X))))&
(((~old(paul)|~tall(paul)))=>(?[X]:(~brave(X))))&
(![X]:((calm(X)|~curious(X))=>(generous(X)|~humble(X))))&
((?[X]:(hap... | creative(mary) | [] | null | 0 |
Everyone who is not wise or not rich is either not tall or tall and vice versa. If someone is either not happy or curious then someone is either not curious or calm and vice versa. Everyone who is not funny or not creative is rich and vice versa. Everyone who is not patient is both tall and not happy and vice versa. Ev... | Paul is generous. | neutral | (![X]:((~wise(X)|~rich(X))<=>(~tall(X)<~>tall(X))))&
((?[X]:((~happy(X)<~>curious(X))))<=>(?[X]:((~curious(X)<~>calm(X)))))&
(![X]:((~funny(X)|~creative(X))<=>rich(X)))&
(![X]:(~patient(X)<=>(tall(X)&~happy(X))))&
(![X]:((old(X)&strong(X))=>(~happy(X)<~>~tall(X))))&
((?[X]:((~rich(X)&~patient(X))))=>((~calm(alice)|curi... | generous(paul) | [] | null | 0 |
Everyone who is not generous is either tall or not happy. If paul is brave then mary is not creative or strong. Everyone who is not tall is tall or calm. If someone is tall or not generous then someone is either not old or not humble. Everyone who is either quiet or old is not creative. Everyone who is both brave and g... | Lucy is calm. | entailment | (![X]:(~generous(X)=>(tall(X)<~>~happy(X))))&
((brave(paul))=>((~creative(mary)|strong(mary))))&
(![X]:(~tall(X)=>(tall(X)|calm(X))))&
((?[X]:((tall(X)|~generous(X))))=>(?[X]:((~old(X)<~>~humble(X)))))&
(![X]:((quiet(X)<~>old(X))=>~creative(X)))&
(![X]:((brave(X)&generous(X))<=>(~kind(X)&~strong(X))))&
(![X]:((~happy(X... | calm(lucy) | [
"p8",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1202509436205994179324043
% SZS output start Proof for 1202509436205994179324043
9. ! [X0] : ((funny(X0) | generous(X0)) <=> (calm(X0) & ~patient(X0))) [input p8]
10. ! [X0] : ((~tall(X0) & ~curious(X0)) <=> ~generous(X0)) [input p9]
18. generous(lucy) <~> tall(lucy) [input p17]
25. ~calm... | 0 |
If someone is humble or strong then lucy is either not patient or not strong and vice versa.
Everyone who is either brave or old is either happy or old and vice versa.
If susan is both funny and patient then someone is not brave or not quiet and vice versa.
Everyone who is creative or wise is either not patient or stro... | Fred is not funny. | neutral | ((?[X]:((humble(X)|strong(X))))<=>((~patient(lucy)<~>~strong(lucy))))&
(![X]:((brave(X)<~>old(X))<=>(happy(X)<~>old(X))))&
(((funny(susan)&patient(susan)))<=>(?[X]:((~brave(X)|~quiet(X)))))&
(![X]:((creative(X)|wise(X))=>(~patient(X)<~>strong(X))))&
(![X]:(creative(X)=>(~creative(X)|calm(X))))&
(![X]:((~curious(X)|pati... | ~funny(fred) | [] | null | 0 |
If paul is not brave then someone is not kind or tall and vice versa.
If someone is both generous and funny then alice is creative or not patient and vice versa.
Everyone who is either not kind or not quiet is either not calm or not wise.
Everyone who is either funny or old is brave or not rich and vice versa.
Everyone... | Alice is curious. | neutral | ((~brave(paul))<=>(?[X]:((~kind(X)|tall(X)))))&
((?[X]:((generous(X)&funny(X))))<=>((creative(alice)|~patient(alice))))&
(![X]:((~kind(X)<~>~quiet(X))=>(~calm(X)<~>~wise(X))))&
(![X]:((funny(X)<~>old(X))<=>(brave(X)|~rich(X))))&
(![X]:((quiet(X)&kind(X))<=>brave(X)))&
(![X]:((~humble(X)<~>~creative(X))=>(~kind(X)&kind(... | curious(alice) | [] | null | 0 |
Everyone who is not rich or not humble is tall and vice versa.
If alice is both kind and brave then someone is either not funny or not tall.
Everyone who is strong is both wise and not funny and vice versa.
Everyone who is brave is not creative or not tall and vice versa.
If fred is humble then susan is both not patien... | John is not kind. | neutral | (![X]:((~rich(X)|~humble(X))<=>tall(X)))&
(((kind(alice)&brave(alice)))=>(?[X]:((~funny(X)<~>~tall(X)))))&
(![X]:(strong(X)<=>(wise(X)&~funny(X))))&
(![X]:(brave(X)<=>(~creative(X)|~tall(X))))&
((humble(fred))<=>((~patient(susan)&happy(susan))))&
(![X]:((~brave(X)|~wise(X))=>~strong(X)))&
(![X]:((~patient(X)<~>humble(X... | ~kind(john) | [] | null | 0 |
If someone is not happy or not funny then someone is both not kind and wise.
Everyone who is not curious is tall or strong and vice versa.
Everyone who is not funny or not generous is not strong and vice versa.
Everyone who is not quiet is either not humble or curious.
Everyone who is both humble and happy is either no... | Fred is not wise. | entailment | ((?[X]:((~happy(X)|~funny(X))))=>(?[X]:((~kind(X)&wise(X)))))&
(![X]:(~curious(X)<=>(tall(X)|strong(X))))&
(![X]:((~funny(X)|~generous(X))<=>~strong(X)))&
(![X]:(~quiet(X)=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[X]:(~funny(X)))=>((~tall(fred)<~>~old(fred))))&
((curious(j... | ~wise(fred) | [
"p1",
"p3",
"p4",
"p10",
"p11",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6846700872497222139752615
% SZS output start Proof for 6846700872497222139752615
2. ! [X0] : (~curious(X0) <=> (strong(X0) | tall(X0))) [input p1]
4. ! [X0] : (~quiet(X0) => (~humble(X0) <~> curious(X0))) [input p3]
5. ! [X0] : ((happy(X0) & humble(X0)) <=> (~tall(X0) <~> funny(X0))) [inp... | 0 |
If lucy is either not patient or strong then someone is not humble.
Everyone who is not patient or kind is either generous or humble.
Everyone who is both humble and wise is not happy or rich.
If someone is both kind and not tall then fred is not humble or humble.
Everyone who is quiet is not calm or not funny.
If some... | Lucy is not calm. | neutral | (((~patient(lucy)<~>strong(lucy)))=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)|kind(X))=>(generous(X)<~>humble(X))))&
(![X]:((humble(X)&wise(X))=>(~happy(X)|rich(X))))&
((?[X]:((kind(X)&~tall(X))))=>((~humble(fred)|humble(fred))))&
(![X]:(quiet(X)=>(~calm(X)|~funny(X))))&
((?[X]:((humble(X)|~tall(X))))<=>(?[X]:((funny(X... | ~calm(lucy) | [] | null | 0 |
If someone is brave or rich then john is both not funny and not happy.
Everyone who is tall is not brave and vice versa.
Everyone who is generous is not happy and vice versa.
Everyone who is either not strong or funny is both generous and humble and vice versa.
If paul is both not kind and not brave then mary is either... | Lucy is kind. | entailment | ((?[X]:((brave(X)|rich(X))))=>((~funny(john)&~happy(john))))&
(![X]:(tall(X)<=>~brave(X)))&
(![X]:(generous(X)<=>~happy(X)))&
(![X]:((~strong(X)<~>funny(X))<=>(generous(X)&humble(X))))&
(((~kind(paul)&~brave(paul)))<=>((~wise(mary)<~>~curious(mary))))&
(![X]:(~curious(X)<=>(old(X)&~kind(X))))&
(![X]:(humble(X)=>(happy(... | kind(lucy) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6604715584214096065290404
% SZS output start Proof for 6604715584214096065290404
2. ! [X0] : (tall(X0) <=> ~brave(X0)) [input p1]
3. ! [X0] : (generous(X0) <=> ~happy(X0)) [input p2]
4. ! [X0] : ((~strong(X0) <~> funny(X0)) <=> (humble(X0) & generous(X0))) [input p3]
6. ! [X0] : (~curious... | 0 |
Everyone who is generous is both not calm and kind.
Everyone who is not curious is both not brave and not wise and vice versa.
If someone is both not rich and not strong then lucy is both not generous and quiet and vice versa.
Everyone who is either curious or generous is wise or tall and vice versa.
If someone is both... | Susan is not funny. | neutral | (![X]:(generous(X)=>(~calm(X)&kind(X))))&
(![X]:(~curious(X)<=>(~brave(X)&~wise(X))))&
((?[X]:((~rich(X)&~strong(X))))<=>((~generous(lucy)&quiet(lucy))))&
(![X]:((curious(X)<~>generous(X))<=>(wise(X)|tall(X))))&
((?[X]:((old(X)&~happy(X))))<=>((~curious(alice)|curious(alice))))&
(((patient(lucy)&kind(lucy)))<=>(?[X]:(w... | ~funny(susan) | [] | null | 0 |
Everyone who is either not rich or old is either not creative or not wise. If someone is patient or not kind then lucy is not patient and vice versa. If someone is either old or quiet then susan is not brave or not kind and vice versa. Everyone who is both patient and not funny is either not funny or not calm and vice ... | Lucy is quiet. | entailment | (![X]:((~rich(X)<~>old(X))=>(~creative(X)<~>~wise(X))))&
((?[X]:((patient(X)|~kind(X))))<=>(~patient(lucy)))&
((?[X]:((old(X)<~>quiet(X))))<=>((~brave(susan)|~kind(susan))))&
(![X]:((patient(X)&~funny(X))<=>(~funny(X)<~>~calm(X))))&
((~calm(paul))<=>((curious(paul)|patient(paul))))&
(![X]:(kind(X)=>(curious(X)|~old(X))... | quiet(lucy) | [
"p1",
"p3",
"p7",
"p8",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5762718319938087020104941
% SZS output start Proof for 5762718319938087020104941
2. ? [X0] : (~kind(X0) | patient(X0)) <=> ~patient(lucy) [input p1]
4. ! [X0] : ((~funny(X0) & patient(X0)) <=> (~funny(X0) <~> ~calm(X0))) [input p3]
8. ! [X0] : ((~quiet(X0) | ~rich(X0)) => (~wise(X0) | cre... | 0 |
Everyone who is both humble and patient is both wise and not generous. Everyone who is not calm is both not tall and brave. Everyone who is rich or not wise is not funny or not kind and vice versa. Everyone who is curious is not calm or not rich. Everyone who is not patient is both patient and not generous and vice ver... | Alice is curious. | contradiction | (![X]:((humble(X)&patient(X))=>(wise(X)&~generous(X))))&
(![X]:(~calm(X)=>(~tall(X)&brave(X))))&
(![X]:((rich(X)|~wise(X))<=>(~funny(X)|~kind(X))))&
(![X]:(curious(X)=>(~calm(X)|~rich(X))))&
(![X]:(~patient(X)<=>(patient(X)&~generous(X))))&
(![X]:((~brave(X)|humble(X))=>creative(X)))&
((?[X]:((~calm(X)&~humble(X))))=>(... | curious(alice) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7424493110789288329145303
% SZS output start Proof for 7424493110789288329145303
8. ! [X0] : (old(X0) <=> (kind(X0) & ~kind(X0))) [input p7]
10. ? [X0] : (curious(X0) | ~happy(X0)) <=> (old(lucy) & creative(lucy)) [input p9]
21. curious(alice) [input hypothesis]
42. ! [X0] : ((old(X0) | (... | 0 |
If alice is either old or quiet then someone is either patient or not tall and vice versa.
If fred is not curious or not wise then lucy is funny and vice versa.
Everyone who is strong or not kind is either not generous or not creative and vice versa.
If someone is either brave or humble then alice is either tall or not... | Mary is brave. | contradiction | (((old(alice)<~>quiet(alice)))<=>(?[X]:((patient(X)<~>~tall(X)))))&
(((~curious(fred)|~wise(fred)))<=>(funny(lucy)))&
(![X]:((strong(X)|~kind(X))<=>(~generous(X)<~>~creative(X))))&
((?[X]:((brave(X)<~>humble(X))))=>((tall(alice)<~>~kind(alice))))&
(![X]:((old(X)&humble(X))<=>(~curious(X)|~happy(X))))&
(![X]:(~brave(X)=... | brave(mary) | [
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3498349045819769131715202
% SZS output start Proof for 3498349045819769131715202
12. ! [X0] : (~brave(X0) <=> (~humble(X0) | ~quiet(X0))) [input p11]
14. ! [X0] : ((happy(X0) | ~kind(X0)) => ~quiet(X0)) [input p13]
20. ~wise(mary) & happy(mary) [input p19]
25. brave(mary) [input hypothesi... | 0 |
Everyone who is creative or brave is either not strong or old and vice versa. If lucy is rich or strong then someone is calm or not funny. Everyone who is both creative and humble is either not kind or not tall. If someone is not curious or creative then susan is both not creative and not quiet and vice versa. If fred ... | Paul is kind. | contradiction | (![X]:((creative(X)|brave(X))<=>(~strong(X)<~>old(X))))&
(((rich(lucy)|strong(lucy)))=>(?[X]:((calm(X)|~funny(X)))))&
(![X]:((creative(X)&humble(X))=>(~kind(X)<~>~tall(X))))&
((?[X]:((~curious(X)|creative(X))))<=>((~creative(susan)&~quiet(susan))))&
(((~strong(fred)&patient(fred)))=>((~calm(alice)|~strong(alice))))&
((... | kind(paul) | [
"p0",
"p6",
"p7",
"p11",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3191921456765042506907998
% SZS output start Proof for 3191921456765042506907998
1. ! [X0] : ((brave(X0) | creative(X0)) <=> (~strong(X0) <~> old(X0))) [input p0]
7. ! [X0] : ((old(X0) & ~creative(X0)) <=> (~humble(X0) | quiet(X0))) [input p6]
8. ! [X0] : ((~wise(X0) | kind(X0)) <=> (~str... | 0 |
If fred is both not curious and creative then john is both not rich and old.
Everyone who is either wise or not kind is either not happy or funny and vice versa.
Everyone who is either not humble or not calm is both creative and not creative.
Everyone who is not old or curious is both not brave and not patient.
If some... | Fred is not curious. | neutral | (((~curious(fred)&creative(fred)))=>((~rich(john)&old(john))))&
(![X]:((wise(X)<~>~kind(X))<=>(~happy(X)<~>funny(X))))&
(![X]:((~humble(X)<~>~calm(X))=>(creative(X)&~creative(X))))&
(![X]:((~old(X)|curious(X))=>(~brave(X)&~patient(X))))&
((?[X]:((rich(X)&~patient(X))))<=>(?[X]:((~curious(X)<~>generous(X)))))&
(![X]:(ca... | ~curious(fred) | [] | null | 0 |
Everyone who is curious or not happy is not strong or quiet. Everyone who is either generous or old is funny or old. Everyone who is either old or brave is either not calm or not creative and vice versa. Everyone who is not humble is not calm and vice versa. If someone is either calm or not old then someone is creative... | Paul is not generous. | contradiction | (![X]:((curious(X)|~happy(X))=>(~strong(X)|quiet(X))))&
(![X]:((generous(X)<~>old(X))=>(funny(X)|old(X))))&
(![X]:((old(X)<~>brave(X))<=>(~calm(X)<~>~creative(X))))&
(![X]:(~humble(X)<=>~calm(X)))&
((?[X]:((calm(X)<~>~old(X))))<=>(?[X]:(creative(X))))&
(((generous(susan)<~>happy(susan)))=>(?[X]:(wise(X))))&
(![X]:(calm... | ~generous(paul) | [
"p2",
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8733284996925973563457018
% SZS output start Proof for 8733284996925973563457018
3. ! [X0] : ((old(X0) <~> brave(X0)) <=> (~calm(X0) <~> ~creative(X0))) [input p2]
5. ? [X0] : (calm(X0) <~> ~old(X0)) <=> ? [X0] : creative(X0) [input p4]
7. ! [X0] : (calm(X0) <=> (~old(X0) <~> ~brave(X0)))... | 0 |
If someone is not calm or not rich then someone is not creative or curious and vice versa. Everyone who is patient or calm is not wise and vice versa. Everyone who is not old or curious is not brave or creative and vice versa. If someone is both curious and brave then someone is both not funny and not kind and vice ver... | Fred is curious. | neutral | ((?[X]:((~calm(X)|~rich(X))))<=>(?[X]:((~creative(X)|curious(X)))))&
(![X]:((patient(X)|calm(X))<=>~wise(X)))&
(![X]:((~old(X)|curious(X))<=>(~brave(X)|creative(X))))&
((?[X]:((curious(X)&brave(X))))<=>(?[X]:((~funny(X)&~kind(X)))))&
(![X]:((~quiet(X)<~>kind(X))=>(~funny(X)|creative(X))))&
(![X]:((~rich(X)|~creative(X)... | curious(fred) | [] | null | 0 |
If someone is not patient then lucy is both not generous and wise. If someone is both not happy and not creative then someone is either not calm or tall and vice versa. Everyone who is generous or brave is either rich or wise and vice versa. If someone is either tall or quiet then john is not brave or creative. Everyon... | Lucy is not kind. | entailment | ((?[X]:(~patient(X)))=>((~generous(lucy)&wise(lucy))))&
((?[X]:((~happy(X)&~creative(X))))<=>(?[X]:((~calm(X)<~>tall(X)))))&
(![X]:((generous(X)|brave(X))<=>(rich(X)<~>wise(X))))&
((?[X]:((tall(X)<~>quiet(X))))=>((~brave(john)|creative(john))))&
(![X]:((~funny(X)&generous(X))=>(happy(X)|tall(X))))&
((~tall(paul))=>((fu... | ~kind(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8957232298183577119756199
% SZS output start Proof for 8957232298183577119756199
21. funny(lucy) & ~kind(lucy) [input p20]
25. kind(lucy) [input hypothesis]
131. ~kind(lucy) [cnf transformation 21]
137. kind(lucy) [cnf transformation 25]
324. $false [subsumption resolution 137,131]
% SZS ... | 0 |
If susan is not happy then john is not kind or not rich and vice versa.
Everyone who is brave is both not patient and not creative.
If someone is either not brave or patient then mary is either generous or not rich.
Everyone who is not calm is not happy or not quiet and vice versa.
Everyone who is not happy is not funn... | Susan is not calm. | entailment | ((~happy(susan))<=>((~kind(john)|~rich(john))))&
(![X]:(brave(X)=>(~patient(X)&~creative(X))))&
((?[X]:((~brave(X)<~>patient(X))))=>((generous(mary)<~>~rich(mary))))&
(![X]:(~calm(X)<=>(~happy(X)|~quiet(X))))&
(![X]:(~happy(X)<=>(~funny(X)|tall(X))))&
(![X]:(~strong(X)=>(~calm(X)&brave(X))))&
((?[X]:(brave(X)))<=>(?[X]... | ~calm(susan) | [
"p3",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3189846532346440021677238
% SZS output start Proof for 3189846532346440021677238
4. ! [X0] : (~calm(X0) <=> (~quiet(X0) | ~happy(X0))) [input p3]
5. ! [X0] : (~happy(X0) <=> (tall(X0) | ~funny(X0))) [input p4]
12. ? [X0] : ~tall(X0) <=> (patient(john) & ~patient(john)) [input p11]
24. cal... | 0 |
Everyone who is both not patient and not quiet is happy and vice versa.
Everyone who is generous is kind or generous and vice versa.
Everyone who is both not wise and humble is either not rich or not strong.
Everyone who is either not patient or creative is rich or not quiet.
If fred is both kind and tall then john is ... | Susan is not quiet. | contradiction | (![X]:((~patient(X)&~quiet(X))<=>happy(X)))&
(![X]:(generous(X)<=>(kind(X)|generous(X))))&
(![X]:((~wise(X)&humble(X))=>(~rich(X)<~>~strong(X))))&
(![X]:((~patient(X)<~>creative(X))=>(rich(X)|~quiet(X))))&
(((kind(fred)&tall(fred)))<=>(strong(john)))&
((?[X]:((curious(X)&~patient(X))))=>((old(john)|~creative(john))))&
... | ~quiet(susan) | [
"p0",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8889429498642372626723236
% SZS output start Proof for 8889429498642372626723236
1. ! [X0] : ((~quiet(X0) & ~patient(X0)) <=> happy(X0)) [input p0]
9. ? [X0] : (~tall(X0) & ~kind(X0)) <=> (happy(susan) | ~tall(susan)) [input p8]
10. ! [X0] : ((~generous(X0) | patient(X0)) <=> happy(X0)) [... | 0 |
If paul is both not generous and not creative then mary is not brave and vice versa.
If someone is either not humble or not curious then fred is both patient and brave.
Everyone who is not wise is not patient or old and vice versa.
Everyone who is humble or not patient is both strong and not funny and vice versa.
Every... | Paul is brave. | neutral | (((~generous(paul)&~creative(paul)))<=>(~brave(mary)))&
((?[X]:((~humble(X)<~>~curious(X))))=>((patient(fred)&brave(fred))))&
(![X]:(~wise(X)<=>(~patient(X)|old(X))))&
(![X]:((humble(X)|~patient(X))<=>(strong(X)&~funny(X))))&
(![X]:((~rich(X)|~kind(X))=>(~kind(X)&happy(X))))&
((?[X]:((old(X)&~creative(X))))=>(happy(luc... | brave(paul) | [] | null | 0 |
If mary is either not old or strong then mary is both not tall and not kind. Everyone who is either not calm or calm is calm. If fred is wise then john is not creative or humble. If someone is both not kind and curious then fred is not rich or not humble and vice versa. If john is not rich then someone is not curious. ... | Fred is not calm. | contradiction | (((~old(mary)<~>strong(mary)))=>((~tall(mary)&~kind(mary))))&
(![X]:((~calm(X)<~>calm(X))=>calm(X)))&
((wise(fred))=>((~creative(john)|humble(john))))&
((?[X]:((~kind(X)&curious(X))))<=>((~rich(fred)|~humble(fred))))&
((~rich(john))=>(?[X]:(~curious(X))))&
(![X]:((~strong(X)|calm(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:(... | ~calm(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5287165566801218367750133
% SZS output start Proof for 5287165566801218367750133
2. ! [X0] : ((~calm(X0) <~> calm(X0)) => calm(X0)) [input p1]
24. ~calm(fred) [input hypothesis]
28. ! [X0] : (calm(X0) | (~calm(X0) <=> calm(X0))) [ennf transformation 2]
41. ! [X0] : (calm(X0) | ((~calm(X0)... | 0 |
If john is both not wise and old then someone is not funny or not rich and vice versa.
If someone is both kind and curious then john is not generous.
Everyone who is not creative or curious is not old or not creative and vice versa.
Everyone who is not curious or not generous is not happy.
If lucy is wise or not genero... | John is not funny. | entailment | (((~wise(john)&old(john)))<=>(?[X]:((~funny(X)|~rich(X)))))&
((?[X]:((kind(X)&curious(X))))=>(~generous(john)))&
(![X]:((~creative(X)|curious(X))<=>(~old(X)|~creative(X))))&
(![X]:((~curious(X)|~generous(X))=>~happy(X)))&
(((wise(lucy)|~generous(lucy)))<=>(?[X]:((~kind(X)<~>old(X)))))&
(![X]:((~quiet(X)<~>~kind(X))<=>(... | ~funny(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2836684458287743229750516
% SZS output start Proof for 2836684458287743229750516
9. (funny(john) | ~strong(john)) <=> (~brave(mary) & brave(mary)) [input p8]
24. funny(john) [input hypothesis]
53. ((funny(john) | ~strong(john)) | (brave(mary) | ~brave(mary))) & ((~brave(mary) & brave(mary... | 0 |
If someone is calm or tall then alice is either not strong or rich.
Everyone who is both rich and humble is tall and vice versa.
If fred is both wise and happy then someone is either rich or old and vice versa.
If someone is either not creative or brave then john is either generous or old and vice versa.
Everyone who i... | Alice is old. | neutral | ((?[X]:((calm(X)|tall(X))))=>((~strong(alice)<~>rich(alice))))&
(![X]:((rich(X)&humble(X))<=>tall(X)))&
(((wise(fred)&happy(fred)))<=>(?[X]:((rich(X)<~>old(X)))))&
((?[X]:((~creative(X)<~>brave(X))))<=>((generous(john)<~>old(john))))&
(![X]:(curious(X)=>(~tall(X)|~curious(X))))&
((?[X]:(~happy(X)))=>(?[X]:((creative(X)... | old(alice) | [] | null | 0 |
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