premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both creative and brave is both generous and not strong and vice versa. If alice is either kind or patient then someone is both generous and old and vice versa. Everyone who is not creative or quiet is either strong or not creative. If mary is both quiet and not calm then lucy is generous or not quiet. ... | John is not generous. | entailment | (![X]:((creative(X)&brave(X))<=>(generous(X)&~strong(X))))&
(((kind(alice)<~>patient(alice)))<=>(?[X]:((generous(X)&old(X)))))&
(![X]:((~creative(X)|quiet(X))=>(strong(X)<~>~creative(X))))&
(((quiet(mary)&~calm(mary)))=>((generous(lucy)|~quiet(lucy))))&
(![X]:((~rich(X)<~>~kind(X))=>(~generous(X)<~>quiet(X))))&
(((~cur... | ~generous(john) | [
"p0",
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8273097463529426270112554
% SZS output start Proof for 8273097463529426270112554
1. ! [X0] : ((brave(X0) & creative(X0)) <=> (~strong(X0) & generous(X0))) [input p0]
3. ! [X0] : ((quiet(X0) | ~creative(X0)) => (strong(X0) <~> ~creative(X0))) [input p2]
12. ! [X0] : ((wise(X0) | creative(X... | 0 |
Everyone who is either not calm or quiet is both old and not brave.
If someone is both strong and not humble then paul is both not creative and not old and vice versa.
Everyone who is not creative or strong is either kind or not humble.
Everyone who is both humble and brave is not creative and vice versa.
Everyone who ... | Susan is not kind. | neutral | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&~brave(X))))&
((?[X]:((strong(X)&~humble(X))))<=>((~creative(paul)&~old(paul))))&
(![X]:((~creative(X)|strong(X))=>(kind(X)<~>~humble(X))))&
(![X]:((humble(X)&brave(X))<=>~creative(X)))&
(![X]:((brave(X)<~>humble(X))=>rich(X)))&
(![X]:((~happy(X)|~old(X))=>(~curious(X)<~>brave(X)))... | ~kind(susan) | [] | null | 0 |
Everyone who is either not wise or not strong is both not kind and funny and vice versa. If paul is curious or rich then someone is either not brave or not funny and vice versa. If alice is either brave or patient then alice is strong and vice versa. Everyone who is calm or not brave is both not humble and generous. If... | Susan is generous. | entailment | (![X]:((~wise(X)<~>~strong(X))<=>(~kind(X)&funny(X))))&
(((curious(paul)|rich(paul)))<=>(?[X]:((~brave(X)<~>~funny(X)))))&
(((brave(alice)<~>patient(alice)))<=>(strong(alice)))&
(![X]:((calm(X)|~brave(X))=>(~humble(X)&generous(X))))&
((?[X]:(~brave(X)))=>((~quiet(alice)&~strong(alice))))&
((?[X]:((~rich(X)&brave(X))))<... | generous(susan) | [
"p3",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3205545776517562757243658
% SZS output start Proof for 3205545776517562757243658
4. ! [X0] : ((~brave(X0) | calm(X0)) => (generous(X0) & ~humble(X0))) [input p3]
20. calm(susan) [input p19]
23. ~generous(susan) [input hypothesis]
26. ! [X0] : ((~brave(X0) | calm(X0)) => generous(X0)) [pur... | 0 |
If alice is both not strong and not patient then someone is tall or not brave and vice versa.
If someone is not patient or not humble then someone is both not creative and not brave.
If fred is both patient and kind then john is both not old and not brave.
If john is either not funny or not generous then john is not hu... | Susan is humble. | entailment | (((~strong(alice)&~patient(alice)))<=>(?[X]:((tall(X)|~brave(X)))))&
((?[X]:((~patient(X)|~humble(X))))=>(?[X]:((~creative(X)&~brave(X)))))&
(((patient(fred)&kind(fred)))=>((~old(john)&~brave(john))))&
(((~funny(john)<~>~generous(john)))<=>((~humble(john)|~creative(john))))&
((curious(mary))=>((~rich(mary)|~creative(ma... | humble(susan) | [
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5449330013541301574357380
% SZS output start Proof for 5449330013541301574357380
10. ! [X0] : (~strong(X0) <=> (~patient(X0) & humble(X0))) [input p9]
22. ~strong(susan) [input p21]
24. ~humble(susan) [input hypothesis]
53. ! [X0] : ((~strong(X0) | (patient(X0) | ~humble(X0))) & ((~patien... | 0 |
Everyone who is either not patient or creative is both not rich and generous and vice versa. Everyone who is either kind or happy is either not tall or not humble. Everyone who is not happy is humble or not funny. If paul is either not old or not wise then someone is not calm and vice versa. Everyone who is not tall is... | Paul is not tall. | entailment | (![X]:((~patient(X)<~>creative(X))<=>(~rich(X)&generous(X))))&
(![X]:((kind(X)<~>happy(X))=>(~tall(X)<~>~humble(X))))&
(![X]:(~happy(X)=>(humble(X)|~funny(X))))&
(((~old(paul)<~>~wise(paul)))<=>(?[X]:(~calm(X))))&
(![X]:(~tall(X)<=>(~rich(X)|creative(X))))&
(![X]:((~brave(X)<~>strong(X))<=>(~quiet(X)|patient(X))))&
(![... | ~tall(paul) | [
"p1",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8838551667776728149608073
% SZS output start Proof for 8838551667776728149608073
2. ! [X0] : ((kind(X0) <~> happy(X0)) => (~tall(X0) <~> ~humble(X0))) [input p1]
9. ? [X0] : (~old(X0) & old(X0)) <=> ? [X0] : (~humble(X0) <~> kind(X0)) [input p8]
11. ! [X0] : ((happy(X0) <~> ~brave(X0)) <=... | 0 |
If someone is both not happy and not generous then someone is humble. Everyone who is not tall or old is not kind. Everyone who is both patient and not humble is both not generous and generous. If someone is either calm or quiet then mary is both kind and wise. Everyone who is either not generous or curious is both gen... | Fred is quiet. | entailment | ((?[X]:((~happy(X)&~generous(X))))=>(?[X]:(humble(X))))&
(![X]:((~tall(X)|old(X))=>~kind(X)))&
(![X]:((patient(X)&~humble(X))=>(~generous(X)&generous(X))))&
((?[X]:((calm(X)<~>quiet(X))))=>((kind(mary)&wise(mary))))&
(![X]:((~generous(X)<~>curious(X))=>(generous(X)&rich(X))))&
(![X]:((tall(X)&~wise(X))<=>(happy(X)&~cur... | quiet(fred) | [
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7569069965088979917523040
% SZS output start Proof for 7569069965088979917523040
8. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (kind(X0) | patient(X0))) [input p7]
10. ~rich(fred) <=> (~tall(alice) | ~kind(alice)) [input p9]
14. ! [X0] : ((rich(X0) & creative(X0)) <=> (~quiet(X0) | ~strong(X0)... | 0 |
Everyone who is not funny is both happy and not old. Everyone who is brave or not old is not strong. If paul is either not creative or old then susan is both not curious and not strong. If paul is either strong or generous then paul is both not creative and patient. If someone is funny then mary is not calm or creative... | Alice is not happy. | contradiction | (![X]:(~funny(X)=>(happy(X)&~old(X))))&
(![X]:((brave(X)|~old(X))=>~strong(X)))&
(((~creative(paul)<~>old(paul)))=>((~curious(susan)&~strong(susan))))&
(((strong(paul)<~>generous(paul)))=>((~creative(paul)&patient(paul))))&
((?[X]:(funny(X)))=>((~calm(mary)|creative(mary))))&
(![X]:(funny(X)<=>(rich(X)<~>~strong(X))))&... | ~happy(alice) | [
"p0",
"p1",
"p5",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3234006531232429672687699
% SZS output start Proof for 3234006531232429672687699
1. ! [X0] : (~funny(X0) => (~old(X0) & happy(X0))) [input p0]
2. ! [X0] : ((~old(X0) | brave(X0)) => ~strong(X0)) [input p1]
6. ! [X0] : (funny(X0) <=> (rich(X0) <~> ~strong(X0))) [input p5]
14. ! [X0] : ((st... | 0 |
Everyone who is not calm or humble is either not humble or not calm and vice versa.
Everyone who is either calm or happy is both not curious and not tall.
Everyone who is funny or not calm is not wise.
Everyone who is either wise or brave is either not generous or brave and vice versa.
If susan is kind or not kind then... | Mary is not generous. | contradiction | (![X]:((~calm(X)|humble(X))<=>(~humble(X)<~>~calm(X))))&
(![X]:((calm(X)<~>happy(X))=>(~curious(X)&~tall(X))))&
(![X]:((funny(X)|~calm(X))=>~wise(X)))&
(![X]:((wise(X)<~>brave(X))<=>(~generous(X)<~>brave(X))))&
(((kind(susan)|~kind(susan)))<=>(?[X]:((brave(X)<~>~brave(X)))))&
((?[X]:(calm(X)))<=>(?[X]:((strong(X)|brave... | ~generous(mary) | [
"p0",
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7913754215296232973770279
% SZS output start Proof for 7913754215296232973770279
1. ! [X0] : ((humble(X0) | ~calm(X0)) <=> (~humble(X0) <~> ~calm(X0))) [input p0]
3. ! [X0] : ((~calm(X0) | funny(X0)) => ~wise(X0)) [input p2]
4. ! [X0] : ((wise(X0) <~> brave(X0)) <=> (~generous(X0) <~> bra... | 0 |
Everyone who is either funny or old is not strong.
Everyone who is patient is not funny or not old.
Everyone who is not happy or not curious is both curious and not quiet.
Everyone who is not happy is both not strong and happy and vice versa.
If mary is either not generous or curious then susan is both wise and not bra... | Lucy is not kind. | entailment | (![X]:((funny(X)<~>old(X))=>~strong(X)))&
(![X]:(patient(X)=>(~funny(X)|~old(X))))&
(![X]:((~happy(X)|~curious(X))=>(curious(X)&~quiet(X))))&
(![X]:(~happy(X)<=>(~strong(X)&happy(X))))&
(((~generous(mary)<~>curious(mary)))<=>((wise(susan)&~brave(susan))))&
((?[X]:((quiet(X)<~>~wise(X))))<=>(~tall(paul)))&
(![X]:((~crea... | ~kind(lucy) | [
"p2",
"p3",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2586918666334973471907271
% SZS output start Proof for 2586918666334973471907271
3. ! [X0] : ((~curious(X0) | ~happy(X0)) => (~quiet(X0) & curious(X0))) [input p2]
4. ! [X0] : (~happy(X0) <=> (happy(X0) & ~strong(X0))) [input p3]
8. ! [X0] : ((~rich(X0) | ~curious(X0)) <=> (happy(X0) <~> ... | 0 |
Everyone who is rich or not calm is either not rich or funny.
Everyone who is creative or not happy is both quiet and not old.
If paul is patient then someone is both not patient and patient and vice versa.
Everyone who is both not rich and not humble is not patient and vice versa.
If someone is not calm then paul is b... | Mary is happy. | neutral | (![X]:((rich(X)|~calm(X))=>(~rich(X)<~>funny(X))))&
(![X]:((creative(X)|~happy(X))=>(quiet(X)&~old(X))))&
((patient(paul))<=>(?[X]:((~patient(X)&patient(X)))))&
(![X]:((~rich(X)&~humble(X))<=>~patient(X)))&
((?[X]:(~calm(X)))<=>((rich(paul)&calm(paul))))&
((?[X]:(humble(X)))=>(?[X]:(~happy(X))))&
((?[X]:(~quiet(X)))<=>... | happy(mary) | [] | null | 0 |
Everyone who is both curious and wise is happy.
If john is either quiet or not rich then mary is old or happy and vice versa.
If susan is both not generous and not kind then paul is not wise and vice versa.
Everyone who is either not old or wise is both old and not funny and vice versa.
Everyone who is both not old and... | Paul is not humble. | neutral | (![X]:((curious(X)&wise(X))=>happy(X)))&
(((quiet(john)<~>~rich(john)))<=>((old(mary)|happy(mary))))&
(((~generous(susan)&~kind(susan)))<=>(~wise(paul)))&
(![X]:((~old(X)<~>wise(X))<=>(old(X)&~funny(X))))&
(![X]:((~old(X)&~wise(X))=>(generous(X)&brave(X))))&
(((~patient(alice)<~>kind(alice)))<=>(?[X]:((~brave(X)<~>~hap... | ~humble(paul) | [] | null | 0 |
If someone is rich then mary is not patient and vice versa.
If someone is calm then someone is both not tall and not humble and vice versa.
If paul is both quiet and not rich then mary is kind or generous and vice versa.
Everyone who is calm or happy is not funny.
Everyone who is old is both wise and generous.
Everyone... | Paul is kind. | entailment | ((?[X]:(rich(X)))<=>(~patient(mary)))&
((?[X]:(calm(X)))<=>(?[X]:((~tall(X)&~humble(X)))))&
(((quiet(paul)&~rich(paul)))<=>((kind(mary)|generous(mary))))&
(![X]:((calm(X)|happy(X))=>~funny(X)))&
(![X]:(old(X)=>(wise(X)&generous(X))))&
(![X]:((creative(X)&~creative(X))=>(happy(X)|~happy(X))))&
((?[X]:((~old(X)<~>~quiet(... | kind(paul) | [
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4395981593962081638339725
% SZS output start Proof for 4395981593962081638339725
8. ! [X0] : ((~kind(X0) | happy(X0)) <=> ~wise(X0)) [input p7]
11. ! [X0] : (~wise(X0) <=> (wise(X0) & ~strong(X0))) [input p10]
25. ~kind(paul) [input hypothesis]
55. ! [X0] : (((~kind(X0) | happy(X0)) | wis... | 0 |
Everyone who is both rich and patient is curious or not patient. Everyone who is tall or brave is brave and vice versa. Everyone who is both not quiet and calm is either patient or happy. Everyone who is not generous or not quiet is not kind. Everyone who is quiet is both not quiet and strong. Everyone who is not wise ... | Alice is not creative. | entailment | (![X]:((rich(X)&patient(X))=>(curious(X)|~patient(X))))&
(![X]:((tall(X)|brave(X))<=>brave(X)))&
(![X]:((~quiet(X)&calm(X))=>(patient(X)<~>happy(X))))&
(![X]:((~generous(X)|~quiet(X))=>~kind(X)))&
(![X]:(quiet(X)=>(~quiet(X)&strong(X))))&
(![X]:(~wise(X)=>(~wise(X)&rich(X))))&
((?[X]:((tall(X)|~wise(X))))<=>((brave(mar... | ~creative(alice) | [
"p0",
"p3",
"p4",
"p5",
"p7",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8125917989797501860218020
% SZS output start Proof for 8125917989797501860218020
1. ! [X0] : ((patient(X0) & rich(X0)) => (~patient(X0) | curious(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | ~generous(X0)) => ~kind(X0)) [input p3]
5. ! [X0] : (quiet(X0) => (strong(X0) & ~quiet(X0))) [input... | 0 |
If someone is old then someone is curious.
If someone is not tall then someone is not rich.
Everyone who is either not patient or creative is both not patient and creative.
Everyone who is both kind and not curious is not strong and vice versa.
If john is not quiet then alice is not tall or calm.
Everyone who is patien... | Paul is creative. | entailment | ((?[X]:(old(X)))=>(?[X]:(curious(X))))&
((?[X]:(~tall(X)))=>(?[X]:(~rich(X))))&
(![X]:((~patient(X)<~>creative(X))=>(~patient(X)&creative(X))))&
(![X]:((kind(X)&~curious(X))<=>~strong(X)))&
((~quiet(john))=>((~tall(alice)|calm(alice))))&
(![X]:(patient(X)=>(~creative(X)&quiet(X))))&
(((~funny(mary)|~brave(mary)))<=>(~f... | creative(paul) | [
"p2",
"p5",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1431136027394581806226103
% SZS output start Proof for 1431136027394581806226103
3. ! [X0] : ((~patient(X0) <~> creative(X0)) => (creative(X0) & ~patient(X0))) [input p2]
6. ! [X0] : (patient(X0) => (quiet(X0) & ~creative(X0))) [input p5]
11. ! [X0] : ((quiet(X0) | curious(X0)) <=> (rich(... | 0 |
Everyone who is not patient is not creative or not quiet.
Everyone who is either not generous or quiet is both not calm and creative and vice versa.
Everyone who is patient or rich is not old or generous and vice versa.
If someone is creative then someone is brave or not quiet and vice versa.
Everyone who is creative i... | Lucy is not brave. | contradiction | (![X]:(~patient(X)=>(~creative(X)|~quiet(X))))&
(![X]:((~generous(X)<~>quiet(X))<=>(~calm(X)&creative(X))))&
(![X]:((patient(X)|rich(X))<=>(~old(X)|generous(X))))&
((?[X]:(creative(X)))<=>(?[X]:((brave(X)|~quiet(X)))))&
(![X]:(creative(X)<=>~strong(X)))&
((?[X]:(rich(X)))<=>((brave(susan)&creative(susan))))&
((?[X]:((~... | ~brave(lucy) | [
"p4",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3243610362954325683735012
% SZS output start Proof for 3243610362954325683735012
5. ! [X0] : (creative(X0) <=> ~strong(X0)) [input p4]
12. ! [X0] : (brave(X0) <=> happy(X0)) [input p11]
14. ! [X0] : ((~quiet(X0) & creative(X0)) <=> ~happy(X0)) [input p13]
17. strong(lucy) [input p16]
25. ... | 0 |
Everyone who is not kind or not patient is either not patient or old and vice versa.
If someone is either not old or humble then paul is brave or funny and vice versa.
If lucy is either rich or happy then alice is strong or rich and vice versa.
If susan is both not creative and quiet then paul is either not generous or... | Susan is creative. | neutral | (![X]:((~kind(X)|~patient(X))<=>(~patient(X)<~>old(X))))&
((?[X]:((~old(X)<~>humble(X))))<=>((brave(paul)|funny(paul))))&
(((rich(lucy)<~>happy(lucy)))<=>((strong(alice)|rich(alice))))&
(((~creative(susan)&quiet(susan)))=>((~generous(paul)<~>kind(paul))))&
((?[X]:(strong(X)))=>(patient(fred)))&
(((~patient(paul)<~>gene... | creative(susan) | [] | null | 0 |
If someone is strong then fred is not brave and vice versa.
Everyone who is not brave is not funny or happy.
Everyone who is kind or generous is not creative and vice versa.
Everyone who is kind is curious and vice versa.
If paul is either wise or creative then fred is not tall or not brave.
If someone is both brave an... | Mary is patient. | contradiction | ((?[X]:(strong(X)))<=>(~brave(fred)))&
(![X]:(~brave(X)=>(~funny(X)|happy(X))))&
(![X]:((kind(X)|generous(X))<=>~creative(X)))&
(![X]:(kind(X)<=>curious(X)))&
(((wise(paul)<~>creative(paul)))=>((~tall(fred)|~brave(fred))))&
((?[X]:((brave(X)&~happy(X))))=>(?[X]:(old(X))))&
(![X]:(~wise(X)=>(humble(X)&creative(X))))&
((... | patient(mary) | [
"p2",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3940312237137544621141013
% SZS output start Proof for 3940312237137544621141013
3. ! [X0] : ((generous(X0) | kind(X0)) <=> ~creative(X0)) [input p2]
11. ! [X0] : (generous(X0) <=> patient(X0)) [input p10]
24. creative(mary) [input p23]
25. patient(mary) [input hypothesis]
46. ! [X0] : ((... | 0 |
Everyone who is creative is not kind and vice versa. If lucy is either not kind or funny then someone is humble or not quiet. If someone is not tall or not quiet then fred is both not patient and not happy. Everyone who is wise or not humble is funny or not strong and vice versa. If someone is curious then fred is not ... | Alice is creative. | contradiction | (![X]:(creative(X)<=>~kind(X)))&
(((~kind(lucy)<~>funny(lucy)))=>(?[X]:((humble(X)|~quiet(X)))))&
((?[X]:((~tall(X)|~quiet(X))))=>((~patient(fred)&~happy(fred))))&
(![X]:((wise(X)|~humble(X))<=>(funny(X)|~strong(X))))&
((?[X]:(curious(X)))=>(~curious(fred)))&
(![X]:((rich(X)<~>patient(X))=>(old(X)|funny(X))))&
(((~pati... | creative(alice) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2198249106873725288332553
% SZS output start Proof for 2198249106873725288332553
1. ! [X0] : (creative(X0) <=> ~kind(X0)) [input p0]
9. ! [X0] : (creative(X0) <=> (~patient(X0) & kind(X0))) [input p8]
21. creative(alice) [input hypothesis]
42. ! [X0] : ((creative(X0) | kind(X0)) & (~kind(... | 0 |
If someone is not quiet or not patient then mary is both not calm and not curious and vice versa.
If someone is strong then paul is either not quiet or curious and vice versa.
Everyone who is not humble or patient is both kind and funny and vice versa.
Everyone who is not kind or funny is both not generous and not rich... | Mary is patient. | contradiction | ((?[X]:((~quiet(X)|~patient(X))))<=>((~calm(mary)&~curious(mary))))&
((?[X]:(strong(X)))<=>((~quiet(paul)<~>curious(paul))))&
(![X]:((~humble(X)|patient(X))<=>(kind(X)&funny(X))))&
(![X]:((~kind(X)|funny(X))<=>(~generous(X)&~rich(X))))&
(![X]:((happy(X)&~strong(X))<=>~generous(X)))&
((?[X]:((rich(X)&funny(X))))=>(?[X]:... | patient(mary) | [
"p0",
"p2",
"p3",
"p4",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7516082285887723471532538
% SZS output start Proof for 7516082285887723471532538
1. ? [X0] : (~patient(X0) | ~quiet(X0)) <=> (~curious(mary) & ~calm(mary)) [input p0]
3. ! [X0] : ((patient(X0) | ~humble(X0)) <=> (funny(X0) & kind(X0))) [input p2]
4. ! [X0] : ((funny(X0) | ~kind(X0)) <=> (... | 0 |
If lucy is both not quiet and not generous then someone is not wise and vice versa.
If lucy is not happy then paul is not creative or rich and vice versa.
Everyone who is calm or not humble is patient or kind and vice versa.
If mary is either wise or humble then john is either not quiet or old.
If someone is either fun... | John is not calm. | contradiction | (((~quiet(lucy)&~generous(lucy)))<=>(?[X]:(~wise(X))))&
((~happy(lucy))<=>((~creative(paul)|rich(paul))))&
(![X]:((calm(X)|~humble(X))<=>(patient(X)|kind(X))))&
(((wise(mary)<~>humble(mary)))=>((~quiet(john)<~>old(john))))&
((?[X]:((funny(X)<~>~happy(X))))=>(?[X]:((humble(X)<~>~humble(X)))))&
(![X]:((humble(X)&patient(... | ~calm(john) | [
"p2",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5322126278059517881860945
% SZS output start Proof for 5322126278059517881860945
3. ! [X0] : ((~humble(X0) | calm(X0)) <=> (kind(X0) | patient(X0))) [input p2]
6. ! [X0] : ((patient(X0) & humble(X0)) => (~generous(X0) & wise(X0))) [input p5]
10. ! [X0] : (~patient(X0) <=> (~generous(X0) &... | 0 |
If someone is generous then paul is not generous or not kind and vice versa. Everyone who is wise is both not kind and kind and vice versa. If fred is calm then john is wise or generous. Everyone who is either not generous or patient is both not creative and not patient. Everyone who is brave is both not wise and not o... | Paul is not generous. | neutral | ((?[X]:(generous(X)))<=>((~generous(paul)|~kind(paul))))&
(![X]:(wise(X)<=>(~kind(X)&kind(X))))&
((calm(fred))=>((wise(john)|generous(john))))&
(![X]:((~generous(X)<~>patient(X))=>(~creative(X)&~patient(X))))&
(![X]:(brave(X)<=>(~wise(X)&~old(X))))&
((?[X]:((funny(X)&~patient(X))))<=>((curious(mary)|~quiet(mary))))&
((... | ~generous(paul) | [] | null | 0 |
If someone is not rich then someone is both not wise and not calm and vice versa.
If john is both funny and wise then someone is not happy and vice versa.
Everyone who is not rich is either kind or not rich.
Everyone who is rich or not brave is not quiet and vice versa.
If someone is both not kind and not humble then s... | John is kind. | contradiction | ((?[X]:(~rich(X)))<=>(?[X]:((~wise(X)&~calm(X)))))&
(((funny(john)&wise(john)))<=>(?[X]:(~happy(X))))&
(![X]:(~rich(X)=>(kind(X)<~>~rich(X))))&
(![X]:((rich(X)|~brave(X))<=>~quiet(X)))&
((?[X]:((~kind(X)&~humble(X))))<=>(?[X]:((~humble(X)|~happy(X)))))&
(![X]:((old(X)&~rich(X))<=>(tall(X)|wise(X))))&
((?[X]:((strong(X)... | kind(john) | [
"p1",
"p2",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2863811719753361474620074
% SZS output start Proof for 2863811719753361474620074
2. (wise(john) & funny(john)) <=> ? [X0] : ~happy(X0) [input p1]
3. ! [X0] : (~rich(X0) => (kind(X0) <~> ~rich(X0))) [input p2]
6. ! [X0] : ((~rich(X0) & old(X0)) <=> (wise(X0) | tall(X0))) [input p5]
20. ? [... | 0 |
Everyone who is wise is either not brave or not happy.
If fred is not patient then alice is humble or not quiet and vice versa.
Everyone who is either creative or tall is not funny or humble and vice versa.
Everyone who is not patient or humble is not humble.
If susan is both creative and not calm then someone is funny... | Alice is not curious. | entailment | (![X]:(wise(X)=>(~brave(X)<~>~happy(X))))&
((~patient(fred))<=>((humble(alice)|~quiet(alice))))&
(![X]:((creative(X)<~>tall(X))<=>(~funny(X)|humble(X))))&
(![X]:((~patient(X)|humble(X))=>~humble(X)))&
(((creative(susan)&~calm(susan)))<=>(?[X]:(funny(X))))&
(![X]:(rich(X)=>(brave(X)|~patient(X))))&
(![X]:((~humble(X)|wi... | ~curious(alice) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1034220584212328736340564
% SZS output start Proof for 1034220584212328736340564
4. ! [X0] : ((humble(X0) | ~patient(X0)) => ~humble(X0)) [input p3]
7. ! [X0] : ((wise(X0) | ~humble(X0)) => (patient(X0) & ~curious(X0))) [input p6]
22. curious(alice) [input hypothesis]
25. ! [X0] : (~humbl... | 0 |
If someone is quiet or not creative then someone is brave and vice versa. Everyone who is quiet is either not kind or humble and vice versa. Everyone who is not wise is strong or not strong. Everyone who is not quiet is either not wise or quiet. Everyone who is rich is calm or funny and vice versa. If mary is either no... | Paul is not generous. | entailment | ((?[X]:((quiet(X)|~creative(X))))<=>(?[X]:(brave(X))))&
(![X]:(quiet(X)<=>(~kind(X)<~>humble(X))))&
(![X]:(~wise(X)=>(strong(X)|~strong(X))))&
(![X]:(~quiet(X)=>(~wise(X)<~>quiet(X))))&
(![X]:(rich(X)<=>(calm(X)|funny(X))))&
(((~creative(mary)<~>happy(mary)))<=>(?[X]:((happy(X)|humble(X)))))&
(![X]:((kind(X)|creative(X... | ~generous(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 495586559229677699195531
% SZS output start Proof for 495586559229677699195531
22. funny(paul) & ~generous(paul) [input p21]
25. generous(paul) [input hypothesis]
150. ~generous(paul) [cnf transformation 22]
155. generous(paul) [cnf transformation 25]
383. $false [subsumption resolution 1... | 0 |
If someone is calm or not tall then susan is both quiet and curious and vice versa.
If john is not creative or tall then someone is either funny or not calm and vice versa.
If alice is either creative or not wise then someone is both kind and not generous.
If john is either not patient or not creative then someone is b... | Alice is not calm. | entailment | ((?[X]:((calm(X)|~tall(X))))<=>((quiet(susan)&curious(susan))))&
(((~creative(john)|tall(john)))<=>(?[X]:((funny(X)<~>~calm(X)))))&
(((creative(alice)<~>~wise(alice)))=>(?[X]:((kind(X)&~generous(X)))))&
(((~patient(john)<~>~creative(john)))=>(?[X]:((~humble(X)&~brave(X)))))&
((~kind(susan))<=>(?[X]:((tall(X)<~>~quiet(X... | ~calm(alice) | [
"p0",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8976537686419964982592807
% SZS output start Proof for 8976537686419964982592807
1. ? [X0] : (~tall(X0) | calm(X0)) <=> (curious(susan) & quiet(susan)) [input p0]
9. ! [X0] : ((~creative(X0) | ~patient(X0)) => ~quiet(X0)) [input p8]
10. ! [X0] : ((~calm(X0) <~> calm(X0)) => (~quiet(X0) <~... | 0 |
Everyone who is either happy or tall is both not strong and funny. If fred is both rich and not creative then someone is not quiet or curious and vice versa. Everyone who is not strong is either not old or strong. Everyone who is not patient or creative is either not generous or not creative and vice versa. Everyone wh... | Fred is creative. | contradiction | (![X]:((happy(X)<~>tall(X))=>(~strong(X)&funny(X))))&
(((rich(fred)&~creative(fred)))<=>(?[X]:((~quiet(X)|curious(X)))))&
(![X]:(~strong(X)=>(~old(X)<~>strong(X))))&
(![X]:((~patient(X)|creative(X))<=>(~generous(X)<~>~creative(X))))&
(![X]:(wise(X)<=>(brave(X)|~wise(X))))&
((calm(susan))<=>((~humble(fred)|~calm(fred)))... | creative(fred) | [
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8632421862255447534836121
% SZS output start Proof for 8632421862255447534836121
4. ! [X0] : ((creative(X0) | ~patient(X0)) <=> (~generous(X0) <~> ~creative(X0))) [input p3]
5. ! [X0] : (wise(X0) <=> (~wise(X0) | brave(X0))) [input p4]
7. ! [X0] : ((calm(X0) & generous(X0)) <=> (~calm(X0)... | 0 |
Everyone who is not tall or happy is kind and vice versa. If alice is both tall and rich then someone is brave or generous. Everyone who is both not quiet and not funny is calm. If mary is either not brave or brave then someone is either brave or not calm. If someone is both generous and not strong then someone is stro... | Susan is brave. | entailment | (![X]:((~tall(X)|happy(X))<=>kind(X)))&
(((tall(alice)&rich(alice)))=>(?[X]:((brave(X)|generous(X)))))&
(![X]:((~quiet(X)&~funny(X))=>calm(X)))&
(((~brave(mary)<~>brave(mary)))=>(?[X]:((brave(X)<~>~calm(X)))))&
((?[X]:((generous(X)&~strong(X))))<=>(?[X]:((strong(X)|curious(X)))))&
((?[X]:((~quiet(X)|patient(X))))=>(kin... | brave(susan) | [
"p0",
"p6",
"p7",
"p9",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8534252708938945710201544
% SZS output start Proof for 8534252708938945710201544
1. ! [X0] : ((happy(X0) | ~tall(X0)) <=> kind(X0)) [input p0]
7. ! [X0] : ((~generous(X0) <~> creative(X0)) <=> funny(X0)) [input p6]
8. ! [X0] : ((~strong(X0) <~> kind(X0)) <=> (old(X0) & ~generous(X0))) [in... | 0 |
If mary is curious or not brave then someone is tall or old.
Everyone who is either not brave or not quiet is either not strong or not funny.
Everyone who is not strong is either not quiet or funny and vice versa.
If alice is either calm or happy then mary is both tall and strong and vice versa.
If someone is not rich ... | John is rich. | contradiction | (((curious(mary)|~brave(mary)))=>(?[X]:((tall(X)|old(X)))))&
(![X]:((~brave(X)<~>~quiet(X))=>(~strong(X)<~>~funny(X))))&
(![X]:(~strong(X)<=>(~quiet(X)<~>funny(X))))&
(((calm(alice)<~>happy(alice)))<=>((tall(mary)&strong(mary))))&
((?[X]:((~rich(X)|brave(X))))=>((~patient(alice)|~humble(alice))))&
(![X]:(rich(X)<=>(kin... | rich(john) | [
"p2",
"p5",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3263378808753832983451247
% SZS output start Proof for 3263378808753832983451247
3. ! [X0] : (~strong(X0) <=> (~quiet(X0) <~> funny(X0))) [input p2]
6. ! [X0] : (rich(X0) <=> (~humble(X0) & kind(X0))) [input p5]
11. strong(paul) <=> humble(john) [input p10]
20. funny(paul) <~> quiet(paul)... | 0 |
Everyone who is either not patient or strong is not brave or patient.
Everyone who is calm or not kind is kind and vice versa.
Everyone who is both not kind and humble is old or happy and vice versa.
If someone is calm then john is curious or brave.
If someone is not quiet then alice is happy or not generous and vice v... | John is old. | contradiction | (![X]:((~patient(X)<~>strong(X))=>(~brave(X)|patient(X))))&
(![X]:((calm(X)|~kind(X))<=>kind(X)))&
(![X]:((~kind(X)&humble(X))<=>(old(X)|happy(X))))&
((?[X]:(calm(X)))=>((curious(john)|brave(john))))&
((?[X]:(~quiet(X)))<=>((happy(alice)|~generous(alice))))&
((?[X]:(old(X)))<=>((~patient(alice)<~>~strong(alice))))&
((?... | old(john) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5729676449926802867909478
% SZS output start Proof for 5729676449926802867909478
2. ! [X0] : ((~kind(X0) | calm(X0)) <=> kind(X0)) [input p1]
3. ! [X0] : ((humble(X0) & ~kind(X0)) <=> (happy(X0) | old(X0))) [input p2]
22. old(john) [input hypothesis]
35. ! [X0] : (((~kind(X0) | calm(X0)) ... | 0 |
If someone is either funny or happy then someone is either patient or not patient. If someone is both not brave and rich then susan is either not wise or strong and vice versa. Everyone who is either not brave or kind is not strong. If someone is not quiet then alice is both wise and kind. If alice is either not quiet ... | Paul is happy. | neutral | ((?[X]:((funny(X)<~>happy(X))))=>(?[X]:((patient(X)<~>~patient(X)))))&
((?[X]:((~brave(X)&rich(X))))<=>((~wise(susan)<~>strong(susan))))&
(![X]:((~brave(X)<~>kind(X))=>~strong(X)))&
((?[X]:(~quiet(X)))=>((wise(alice)&kind(alice))))&
(((~quiet(alice)<~>funny(alice)))=>(?[X]:((~kind(X)<~>creative(X)))))&
(![X]:(~brave(X)... | happy(paul) | [] | null | 0 |
Everyone who is both funny and not creative is both not quiet and not funny and vice versa. Everyone who is not kind is either not old or not brave and vice versa. Everyone who is happy or not patient is either not kind or not quiet. Everyone who is quiet or not funny is not creative. Everyone who is happy is kind and ... | John is not kind. | contradiction | (![X]:((funny(X)&~creative(X))<=>(~quiet(X)&~funny(X))))&
(![X]:(~kind(X)<=>(~old(X)<~>~brave(X))))&
(![X]:((happy(X)|~patient(X))=>(~kind(X)<~>~quiet(X))))&
(![X]:((quiet(X)|~funny(X))=>~creative(X)))&
(![X]:(happy(X)<=>kind(X)))&
(![X]:(~happy(X)<=>~rich(X)))&
((?[X]:((~rich(X)|~old(X))))=>(?[X]:((creative(X)|~happy(... | ~kind(john) | [
"p0",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4969754429690111101809630
% SZS output start Proof for 4969754429690111101809630
1. ! [X0] : ((~creative(X0) & funny(X0)) <=> (~funny(X0) & ~quiet(X0))) [input p0]
4. ! [X0] : ((~funny(X0) | quiet(X0)) => ~creative(X0)) [input p3]
9. ! [X0] : (~creative(X0) <=> (~kind(X0) <~> quiet(X0))) ... | 0 |
Everyone who is both not generous and not rich is both old and generous. If alice is not patient then alice is both not wise and quiet and vice versa. If someone is not rich or creative then john is patient and vice versa. Everyone who is not quiet or not creative is not patient or generous. If someone is not happy the... | Susan is not quiet. | contradiction | (![X]:((~generous(X)&~rich(X))=>(old(X)&generous(X))))&
((~patient(alice))<=>((~wise(alice)&quiet(alice))))&
((?[X]:((~rich(X)|creative(X))))<=>(patient(john)))&
(![X]:((~quiet(X)|~creative(X))=>(~patient(X)|generous(X))))&
((?[X]:(~happy(X)))=>(rich(paul)))&
(![X]:(~quiet(X)=>(~strong(X)&~funny(X))))&
(![X]:((~funny(X... | ~quiet(susan) | [
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7178163970925160253585706
% SZS output start Proof for 7178163970925160253585706
6. ! [X0] : (~quiet(X0) => (~funny(X0) & ~strong(X0))) [input p5]
20. funny(susan) [input p19]
25. ~quiet(susan) [input hypothesis]
34. ! [X0] : ((~funny(X0) & ~strong(X0)) | quiet(X0)) [ennf transformation 6... | 0 |
If someone is either not quiet or not curious then fred is both curious and not tall.
If mary is both not funny and not creative then someone is either patient or not creative and vice versa.
If someone is both not creative and curious then someone is both calm and not rich and vice versa.
Everyone who is either not ta... | Lucy is quiet. | contradiction | ((?[X]:((~quiet(X)<~>~curious(X))))=>((curious(fred)&~tall(fred))))&
(((~funny(mary)&~creative(mary)))<=>(?[X]:((patient(X)<~>~creative(X)))))&
((?[X]:((~creative(X)&curious(X))))<=>(?[X]:((calm(X)&~rich(X)))))&
(![X]:((~tall(X)<~>brave(X))=>~humble(X)))&
((~happy(fred))=>((wise(fred)<~>funny(fred))))&
(((~calm(john)<~... | quiet(lucy) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2679987082869059583830593
% SZS output start Proof for 2679987082869059583830593
1. ? [X0] : (~quiet(X0) <~> ~curious(X0)) => (~tall(fred) & curious(fred)) [input p0]
14. ! [X0] : (curious(X0) => (creative(X0) & ~creative(X0))) [input p13]
25. quiet(lucy) [input hypothesis]
27. (~tall(fre... | 0 |
If someone is either generous or wise then someone is not calm and vice versa.
Everyone who is both strong and humble is funny or not brave and vice versa.
Everyone who is not tall or not patient is both strong and not happy.
Everyone who is either not brave or happy is either not brave or curious.
Everyone who is not ... | Mary is not generous. | neutral | ((?[X]:((generous(X)<~>wise(X))))<=>(?[X]:(~calm(X))))&
(![X]:((strong(X)&humble(X))<=>(funny(X)|~brave(X))))&
(![X]:((~tall(X)|~patient(X))=>(strong(X)&~happy(X))))&
(![X]:((~brave(X)<~>happy(X))=>(~brave(X)<~>curious(X))))&
(![X]:(~quiet(X)=>(~kind(X)|~brave(X))))&
((?[X]:((~curious(X)|rich(X))))<=>(~humble(lucy)))&
... | ~generous(mary) | [] | null | 0 |
If mary is both not wise and not curious then someone is either not strong or not generous.
Everyone who is funny or not curious is wise and vice versa.
Everyone who is rich is not wise or not patient.
Everyone who is humble is either not rich or not old.
Everyone who is either not creative or old is humble or funny an... | Susan is curious. | entailment | (((~wise(mary)&~curious(mary)))=>(?[X]:((~strong(X)<~>~generous(X)))))&
(![X]:((funny(X)|~curious(X))<=>wise(X)))&
(![X]:(rich(X)=>(~wise(X)|~patient(X))))&
(![X]:(humble(X)=>(~rich(X)<~>~old(X))))&
(![X]:((~creative(X)<~>old(X))<=>(humble(X)|funny(X))))&
(![X]:((~humble(X)&~curious(X))<=>(tall(X)&~strong(X))))&
((~qui... | curious(susan) | [
"p1",
"p2",
"p4",
"p5",
"p11",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2186585520504782089903621
% SZS output start Proof for 2186585520504782089903621
2. ! [X0] : ((~curious(X0) | funny(X0)) <=> wise(X0)) [input p1]
3. ! [X0] : (rich(X0) => (~patient(X0) | ~wise(X0))) [input p2]
5. ! [X0] : ((~creative(X0) <~> old(X0)) <=> (funny(X0) | humble(X0))) [input p... | 0 |
Everyone who is either wise or brave is not strong or curious and vice versa.
If someone is wise or humble then someone is humble or patient.
If john is both not strong and generous then fred is not strong and vice versa.
Everyone who is tall is both not creative and not humble and vice versa.
Everyone who is both not ... | Paul is creative. | neutral | (![X]:((wise(X)<~>brave(X))<=>(~strong(X)|curious(X))))&
((?[X]:((wise(X)|humble(X))))=>(?[X]:((humble(X)|patient(X)))))&
(((~strong(john)&generous(john)))<=>(~strong(fred)))&
(![X]:(tall(X)<=>(~creative(X)&~humble(X))))&
(![X]:((~creative(X)&rich(X))<=>(~humble(X)<~>~strong(X))))&
(![X]:((strong(X)|kind(X))<=>(creativ... | creative(paul) | [] | null | 0 |
If lucy is either not curious or not humble then someone is not quiet or not kind and vice versa.
If someone is happy then someone is both curious and kind and vice versa.
Everyone who is both tall and not rich is both quiet and humble.
If someone is either happy or calm then someone is either not funny or not happy an... | Mary is not funny. | contradiction | (((~curious(lucy)<~>~humble(lucy)))<=>(?[X]:((~quiet(X)|~kind(X)))))&
((?[X]:(happy(X)))<=>(?[X]:((curious(X)&kind(X)))))&
(![X]:((tall(X)&~rich(X))=>(quiet(X)&humble(X))))&
((?[X]:((happy(X)<~>calm(X))))<=>(?[X]:((~funny(X)<~>~happy(X)))))&
(((~patient(lucy)&~strong(lucy)))=>((humble(lucy)&~kind(lucy))))&
(![X]:((pati... | ~funny(mary) | [
"p1",
"p6",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4943601784778067893258992
% SZS output start Proof for 4943601784778067893258992
2. ? [X0] : happy(X0) <=> ? [X0] : (kind(X0) & curious(X0)) [input p1]
7. ? [X0] : (kind(X0) | creative(X0)) => funny(mary) [input p6]
8. ! [X0] : ((~kind(X0) | ~funny(X0)) => ~wise(X0)) [input p7]
21. ~wise(... | 0 |
If fred is both not kind and not wise then paul is brave.
Everyone who is brave is both not brave and not happy and vice versa.
If someone is either kind or happy then someone is both not kind and not creative and vice versa.
Everyone who is creative is both quiet and old.
Everyone who is not wise or humble is creative... | John is not quiet. | contradiction | (((~kind(fred)&~wise(fred)))=>(brave(paul)))&
(![X]:(brave(X)<=>(~brave(X)&~happy(X))))&
((?[X]:((kind(X)<~>happy(X))))<=>(?[X]:((~kind(X)&~creative(X)))))&
(![X]:(creative(X)=>(quiet(X)&old(X))))&
(![X]:((~wise(X)|humble(X))<=>(creative(X)|~strong(X))))&
(![X]:((funny(X)&strong(X))<=>(funny(X)<~>curious(X))))&
(![X]:(... | ~quiet(john) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7949253155046782781526968
% SZS output start Proof for 7949253155046782781526968
2. ! [X0] : (brave(X0) <=> (~happy(X0) & ~brave(X0))) [input p1]
3. ? [X0] : (kind(X0) <~> happy(X0)) <=> ? [X0] : (~creative(X0) & ~kind(X0)) [input p2]
4. ! [X0] : (creative(X0) => (old(X0) & quiet(X0))) [i... | 0 |
Everyone who is generous or not old is strong or kind and vice versa.
If someone is not strong or wise then john is both brave and not wise and vice versa.
Everyone who is not rich or not patient is either not humble or not old.
If susan is not calm then john is both not tall and creative.
Everyone who is both not calm... | Susan is old. | contradiction | (![X]:((generous(X)|~old(X))<=>(strong(X)|kind(X))))&
((?[X]:((~strong(X)|wise(X))))<=>((brave(john)&~wise(john))))&
(![X]:((~rich(X)|~patient(X))=>(~humble(X)<~>~old(X))))&
((~calm(susan))=>((~tall(john)&creative(john))))&
(![X]:((~calm(X)&old(X))<=>(~funny(X)|~kind(X))))&
(![X]:(~quiet(X)=>calm(X)))&
(((~old(fred)&~r... | old(susan) | [
"p0",
"p4",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 34737025255218872735734
% SZS output start Proof for 34737025255218872735734
1. ! [X0] : ((~old(X0) | generous(X0)) <=> (kind(X0) | strong(X0))) [input p0]
5. ! [X0] : ((old(X0) & ~calm(X0)) <=> (~kind(X0) | ~funny(X0))) [input p4]
15. ! [X0] : ((funny(X0) <~> ~generous(X0)) <=> (~creativ... | 0 |
If someone is not curious or quiet then alice is both brave and curious.
If someone is either not calm or not quiet then someone is not strong.
If lucy is not brave then alice is strong or tall and vice versa.
Everyone who is both brave and patient is either not strong or wise and vice versa.
Everyone who is both brave... | Lucy is not rich. | contradiction | ((?[X]:((~curious(X)|quiet(X))))=>((brave(alice)&curious(alice))))&
((?[X]:((~calm(X)<~>~quiet(X))))=>(?[X]:(~strong(X))))&
((~brave(lucy))<=>((strong(alice)|tall(alice))))&
(![X]:((brave(X)&patient(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((brave(X)&~old(X))<=>(~rich(X)|~old(X))))&
(![X]:((~curious(X)&~strong(X))<=>patie... | ~rich(lucy) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 938417556043542188383118
% SZS output start Proof for 938417556043542188383118
1. ? [X0] : (quiet(X0) | ~curious(X0)) => (curious(alice) & brave(alice)) [input p0]
3. ~brave(lucy) <=> (tall(alice) | strong(alice)) [input p2]
4. ! [X0] : ((patient(X0) & brave(X0)) <=> (~strong(X0) <~> wise... | 0 |
If susan is both old and kind then susan is not brave or not kind and vice versa.
If paul is either old or not patient then someone is not humble or not funny.
If someone is either brave or creative then mary is wise and vice versa.
Everyone who is either not tall or strong is not quiet or not calm.
Everyone who is bot... | Susan is patient. | neutral | (((old(susan)&kind(susan)))<=>((~brave(susan)|~kind(susan))))&
(((old(paul)<~>~patient(paul)))=>(?[X]:((~humble(X)|~funny(X)))))&
((?[X]:((brave(X)<~>creative(X))))<=>(wise(mary)))&
(![X]:((~tall(X)<~>strong(X))=>(~quiet(X)|~calm(X))))&
(![X]:((kind(X)&~rich(X))<=>(humble(X)<~>rich(X))))&
(![X]:(curious(X)<=>~humble(X)... | patient(susan) | [] | null | 0 |
If paul is either happy or not humble then someone is creative or happy. Everyone who is both not happy and not funny is not generous. Everyone who is either not strong or not brave is both not old and not tall and vice versa. If someone is both not curious and patient then john is either kind or not wise. Everyone who... | John is creative. | neutral | (((happy(paul)<~>~humble(paul)))=>(?[X]:((creative(X)|happy(X)))))&
(![X]:((~happy(X)&~funny(X))=>~generous(X)))&
(![X]:((~strong(X)<~>~brave(X))<=>(~old(X)&~tall(X))))&
((?[X]:((~curious(X)&patient(X))))=>((kind(john)<~>~wise(john))))&
(![X]:((~rich(X)|~patient(X))<=>(humble(X)|patient(X))))&
((?[X]:((curious(X)|~brav... | creative(john) | [] | null | 0 |
Everyone who is not kind is both creative and wise.
Everyone who is not curious or curious is generous and vice versa.
Everyone who is not generous is either not quiet or rich.
Everyone who is not happy or not quiet is both wise and not curious.
Everyone who is both not patient and not funny is both not curious and gen... | Paul is not funny. | entailment | (![X]:(~kind(X)=>(creative(X)&wise(X))))&
(![X]:((~curious(X)|curious(X))<=>generous(X)))&
(![X]:(~generous(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~happy(X)|~quiet(X))=>(wise(X)&~curious(X))))&
(![X]:((~patient(X)&~funny(X))<=>(~curious(X)&generous(X))))&
((~humble(paul))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((happy(X... | ~funny(paul) | [
"p0",
"p1",
"p3",
"p4",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1623921133821571207517463
% SZS output start Proof for 1623921133821571207517463
1. ! [X0] : (~kind(X0) => (wise(X0) & creative(X0))) [input p0]
2. ! [X0] : ((curious(X0) | ~curious(X0)) <=> generous(X0)) [input p1]
4. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (~curious(X0) & wise(X0))) [inp... | 0 |
If someone is both not rich and old then someone is not rich or quiet. Everyone who is either not old or creative is wise and vice versa. Everyone who is not tall is both not tall and not patient. If someone is both wise and brave then someone is either not wise or curious and vice versa. If paul is either quiet or not... | Mary is not tall. | entailment | ((?[X]:((~rich(X)&old(X))))=>(?[X]:((~rich(X)|quiet(X)))))&
(![X]:((~old(X)<~>creative(X))<=>wise(X)))&
(![X]:(~tall(X)=>(~tall(X)&~patient(X))))&
((?[X]:((wise(X)&brave(X))))<=>(?[X]:((~wise(X)<~>curious(X)))))&
(((quiet(paul)<~>~quiet(paul)))<=>(?[X]:(~generous(X))))&
((?[X]:((~generous(X)<~>~old(X))))<=>((calm(mary)... | ~tall(mary) | [
"p5",
"p6",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9088899380856375513803039
% SZS output start Proof for 9088899380856375513803039
6. ? [X0] : (~generous(X0) <~> ~old(X0)) <=> (~brave(mary) & calm(mary)) [input p5]
7. ! [X0] : ((~rich(X0) & ~tall(X0)) <=> (calm(X0) | ~happy(X0))) [input p6]
14. ! [X0] : (generous(X0) <=> (old(X0) <~> ~wi... | 0 |
Everyone who is not strong is both curious and not wise. If someone is both not kind and not calm then alice is both patient and not patient. If mary is both funny and not brave then lucy is either not strong or patient and vice versa. If fred is humble then susan is both not rich and curious and vice versa. If someone... | Mary is not generous. | entailment | (![X]:(~strong(X)=>(curious(X)&~wise(X))))&
((?[X]:((~kind(X)&~calm(X))))=>((patient(alice)&~patient(alice))))&
(((funny(mary)&~brave(mary)))<=>((~strong(lucy)<~>patient(lucy))))&
((humble(fred))<=>((~rich(susan)&curious(susan))))&
((?[X]:((brave(X)<~>generous(X))))=>(?[X]:(~happy(X))))&
((?[X]:((rich(X)<~>~brave(X))))... | ~generous(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2467161273500066631901813
% SZS output start Proof for 2467161273500066631901813
12. ! [X0] : ((quiet(X0) <~> generous(X0)) <=> quiet(X0)) [input p11]
23. generous(mary) [input hypothesis]
52. ! [X0] : ((((~generous(X0) | ~quiet(X0)) & (generous(X0) | quiet(X0))) | ~quiet(X0)) & (quiet(X0... | 0 |
If someone is not funny or happy then mary is either not brave or old. If someone is not rich or not tall then mary is not old. If someone is both generous and not old then lucy is either not curious or not generous. Everyone who is either tall or kind is either kind or not kind and vice versa. Everyone who is either p... | Lucy is patient. | entailment | ((?[X]:((~funny(X)|happy(X))))=>((~brave(mary)<~>old(mary))))&
((?[X]:((~rich(X)|~tall(X))))=>(~old(mary)))&
((?[X]:((generous(X)&~old(X))))=>((~curious(lucy)<~>~generous(lucy))))&
(![X]:((tall(X)<~>kind(X))<=>(kind(X)<~>~kind(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~patient(X)|old(X))))&
(![X]:((calm(X)<~>~strong(X... | patient(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p8",
"p10",
"p12",
"p14",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 616139913816391678865702
% SZS output start Proof for 616139913816391678865702
1. ? [X0] : (happy(X0) | ~funny(X0)) => (~brave(mary) <~> old(mary)) [input p0]
2. ? [X0] : (~tall(X0) | ~rich(X0)) => ~old(mary) [input p1]
4. ! [X0] : ((tall(X0) <~> kind(X0)) <=> (kind(X0) <~> ~kind(X0))) [i... | 0 |
If someone is not happy then john is calm or humble and vice versa. If someone is either not humble or quiet then someone is both tall and not funny and vice versa. Everyone who is kind is both not strong and not tall and vice versa. Everyone who is humble is not strong or not humble. If mary is either not curious or s... | Fred is quiet. | neutral | ((?[X]:(~happy(X)))<=>((calm(john)|humble(john))))&
((?[X]:((~humble(X)<~>quiet(X))))<=>(?[X]:((tall(X)&~funny(X)))))&
(![X]:(kind(X)<=>(~strong(X)&~tall(X))))&
(![X]:(humble(X)=>(~strong(X)|~humble(X))))&
(((~curious(mary)<~>strong(mary)))<=>((calm(fred)|strong(fred))))&
((?[X]:((~funny(X)<~>~quiet(X))))=>(?[X]:(~kind... | quiet(fred) | [] | null | 0 |
If someone is either quiet or not wise then someone is either happy or not brave and vice versa.
Everyone who is not kind is generous.
Everyone who is either old or funny is not generous or tall.
If someone is either not tall or kind then someone is not curious and vice versa.
Everyone who is both strong and not brave ... | Mary is humble. | neutral | ((?[X]:((quiet(X)<~>~wise(X))))<=>(?[X]:((happy(X)<~>~brave(X)))))&
(![X]:(~kind(X)=>generous(X)))&
(![X]:((old(X)<~>funny(X))=>(~generous(X)|tall(X))))&
((?[X]:((~tall(X)<~>kind(X))))<=>(?[X]:(~curious(X))))&
(![X]:((strong(X)&~brave(X))=>(~happy(X)&~patient(X))))&
(((~rich(john)<~>creative(john)))=>(?[X]:((kind(X)<~>... | humble(mary) | [] | null | 0 |
Everyone who is either funny or happy is not funny or humble and vice versa. If someone is both not curious and humble then someone is either not old or patient and vice versa. Everyone who is creative or patient is not kind. If someone is not funny then someone is either kind or strong. Everyone who is either kind or ... | John is not patient. | entailment | (![X]:((funny(X)<~>happy(X))<=>(~funny(X)|humble(X))))&
((?[X]:((~curious(X)&humble(X))))<=>(?[X]:((~old(X)<~>patient(X)))))&
(![X]:((creative(X)|patient(X))=>~kind(X)))&
((?[X]:(~funny(X)))=>(?[X]:((kind(X)<~>strong(X)))))&
(![X]:((kind(X)<~>calm(X))<=>(patient(X)|curious(X))))&
((?[X]:((calm(X)<~>~humble(X))))=>(?[X]... | ~patient(john) | [
"p2",
"p4",
"p8",
"p9",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4961723648494893933754783
% SZS output start Proof for 4961723648494893933754783
3. ! [X0] : ((patient(X0) | creative(X0)) => ~kind(X0)) [input p2]
5. ! [X0] : ((kind(X0) <~> calm(X0)) <=> (curious(X0) | patient(X0))) [input p4]
9. ! [X0] : ((quiet(X0) | ~quiet(X0)) <=> (~happy(X0) & quie... | 0 |
Everyone who is not wise is both quiet and happy and vice versa. If someone is both not generous and not wise then john is either humble or not wise and vice versa. If paul is strong then paul is brave. If alice is either not old or not brave then paul is both not calm and not brave. Everyone who is not tall or not kin... | Paul is patient. | contradiction | (![X]:(~wise(X)<=>(quiet(X)&happy(X))))&
((?[X]:((~generous(X)&~wise(X))))<=>((humble(john)<~>~wise(john))))&
((strong(paul))=>(brave(paul)))&
(((~old(alice)<~>~brave(alice)))=>((~calm(paul)&~brave(paul))))&
(![X]:((~tall(X)|~kind(X))<=>(old(X)|quiet(X))))&
((?[X]:(~calm(X)))<=>(old(susan)))&
(![X]:((curious(X)&kind(X)... | patient(paul) | [
"p4",
"p6",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4833887735291361748153960
% SZS output start Proof for 4833887735291361748153960
5. ! [X0] : ((~kind(X0) | ~tall(X0)) <=> (quiet(X0) | old(X0))) [input p4]
7. ! [X0] : ((kind(X0) & curious(X0)) <=> (patient(X0) | ~brave(X0))) [input p6]
14. ! [X0] : ((tall(X0) <~> brave(X0)) <=> (~curious... | 0 |
Everyone who is either funny or strong is strong and vice versa.
Everyone who is either humble or strong is curious and vice versa.
Everyone who is either not humble or rich is both calm and strong and vice versa.
If someone is wise then lucy is either not calm or not old and vice versa.
Everyone who is either not gene... | Fred is patient. | contradiction | (![X]:((funny(X)<~>strong(X))<=>strong(X)))&
(![X]:((humble(X)<~>strong(X))<=>curious(X)))&
(![X]:((~humble(X)<~>rich(X))<=>(calm(X)&strong(X))))&
((?[X]:(wise(X)))<=>((~calm(lucy)<~>~old(lucy))))&
(![X]:((~generous(X)<~>~quiet(X))<=>(brave(X)<~>~quiet(X))))&
((?[X]:((~quiet(X)|wise(X))))=>((kind(mary)<~>tall(mary))))&... | patient(fred) | [
"p0",
"p3",
"p10",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7507193659919761724311035
% SZS output start Proof for 7507193659919761724311035
1. ! [X0] : ((funny(X0) <~> strong(X0)) <=> strong(X0)) [input p0]
4. ? [X0] : wise(X0) <=> (~calm(lucy) <~> ~old(lucy)) [input p3]
11. (~patient(fred) <~> ~funny(fred)) <=> ? [X0] : wise(X0) [input p10]
13. ... | 0 |
Everyone who is either not curious or quiet is both brave and not funny and vice versa.
If someone is either patient or not humble then john is both kind and humble.
If alice is either not humble or kind then someone is strong or rich.
If someone is not creative then someone is old or rich and vice versa.
Everyone who ... | John is kind. | entailment | (![X]:((~curious(X)<~>quiet(X))<=>(brave(X)&~funny(X))))&
((?[X]:((patient(X)<~>~humble(X))))=>((kind(john)&humble(john))))&
(((~humble(alice)<~>kind(alice)))=>(?[X]:((strong(X)|rich(X)))))&
((?[X]:(~creative(X)))<=>(?[X]:((old(X)|rich(X)))))&
(![X]:((~calm(X)&~wise(X))<=>(patient(X)|funny(X))))&
(![X]:((patient(X)<~>g... | kind(john) | [
"p1",
"p4",
"p8",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3344902280701351991756848
% SZS output start Proof for 3344902280701351991756848
2. ? [X0] : (patient(X0) <~> ~humble(X0)) => (humble(john) & kind(john)) [input p1]
5. ! [X0] : ((~wise(X0) & ~calm(X0)) <=> (funny(X0) | patient(X0))) [input p4]
9. ! [X0] : (kind(X0) <=> (happy(X0) <~> ~fun... | 0 |
If john is both not kind and happy then someone is happy. If someone is both kind and happy then someone is kind. If someone is old then someone is tall and vice versa. If someone is both not creative and funny then someone is not humble or not creative and vice versa. If john is not calm or patient then susan is happy... | Susan is not wise. | contradiction | (((~kind(john)&happy(john)))=>(?[X]:(happy(X))))&
((?[X]:((kind(X)&happy(X))))=>(?[X]:(kind(X))))&
((?[X]:(old(X)))<=>(?[X]:(tall(X))))&
((?[X]:((~creative(X)&funny(X))))<=>(?[X]:((~humble(X)|~creative(X)))))&
(((~calm(john)|patient(john)))=>(happy(susan)))&
(![X]:((~wise(X)|~tall(X))<=>(~kind(X)&~humble(X))))&
(((calm... | ~wise(susan) | [
"p3",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2573917611406104100538387
% SZS output start Proof for 2573917611406104100538387
4. ? [X0] : (funny(X0) & ~creative(X0)) <=> ? [X0] : (~creative(X0) | ~humble(X0)) [input p3]
6. ! [X0] : ((~tall(X0) | ~wise(X0)) <=> (~humble(X0) & ~kind(X0))) [input p5]
11. ? [X0] : (~quiet(X0) & tall(X0)... | 0 |
Everyone who is not wise or calm is tall or not brave. If someone is both not tall and rich then john is either not kind or not creative. Everyone who is not strong or quiet is not brave and vice versa. Everyone who is not quiet or not humble is kind or creative. Everyone who is both not humble and strong is curious an... | John is brave. | contradiction | (![X]:((~wise(X)|calm(X))=>(tall(X)|~brave(X))))&
((?[X]:((~tall(X)&rich(X))))=>((~kind(john)<~>~creative(john))))&
(![X]:((~strong(X)|quiet(X))<=>~brave(X)))&
(![X]:((~quiet(X)|~humble(X))=>(kind(X)|creative(X))))&
(![X]:((~humble(X)&strong(X))<=>curious(X)))&
(![X]:(brave(X)<=>(creative(X)&~strong(X))))&
(![X]:((happ... | brave(john) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8044424072120091107591546
% SZS output start Proof for 8044424072120091107591546
3. ! [X0] : ((quiet(X0) | ~strong(X0)) <=> ~brave(X0)) [input p2]
6. ! [X0] : (brave(X0) <=> (~strong(X0) & creative(X0))) [input p5]
25. brave(john) [input hypothesis]
40. ! [X0] : (((quiet(X0) | ~strong(X0)... | 0 |
Everyone who is either humble or wise is rich and vice versa. Everyone who is both rich and not patient is quiet or brave and vice versa. If lucy is either not calm or not curious then paul is either not strong or kind and vice versa. If someone is not wise then paul is either strong or not old. Everyone who is rich is... | Lucy is strong. | neutral | (![X]:((humble(X)<~>wise(X))<=>rich(X)))&
(![X]:((rich(X)&~patient(X))<=>(quiet(X)|brave(X))))&
(((~calm(lucy)<~>~curious(lucy)))<=>((~strong(paul)<~>kind(paul))))&
((?[X]:(~wise(X)))=>((strong(paul)<~>~old(paul))))&
(![X]:(rich(X)<=>(calm(X)&wise(X))))&
(![X]:((~generous(X)|funny(X))<=>(patient(X)|~strong(X))))&
(![X]... | strong(lucy) | [] | null | 0 |
If paul is both not funny and tall then someone is old or not brave and vice versa.
If someone is rich or not calm then someone is both calm and not strong and vice versa.
If lucy is either not quiet or not calm then john is either not funny or wise.
Everyone who is both happy and funny is both happy and strong and vic... | Lucy is not happy. | entailment | (((~funny(paul)&tall(paul)))<=>(?[X]:((old(X)|~brave(X)))))&
((?[X]:((rich(X)|~calm(X))))<=>(?[X]:((calm(X)&~strong(X)))))&
(((~quiet(lucy)<~>~calm(lucy)))=>((~funny(john)<~>wise(john))))&
(![X]:((happy(X)&funny(X))<=>(happy(X)&strong(X))))&
(![X]:((humble(X)|generous(X))=>tall(X)))&
((?[X]:((~happy(X)&curious(X))))<=>... | ~happy(lucy) | [
"p0",
"p3",
"p4",
"p11",
"p12",
"p13",
"p14",
"p16",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 19351231924327239997086
% SZS output start Proof for 19351231924327239997086
1. (tall(paul) & ~funny(paul)) <=> ? [X0] : (~brave(X0) | old(X0)) [input p0]
4. ! [X0] : ((funny(X0) & happy(X0)) <=> (strong(X0) & happy(X0))) [input p3]
5. ! [X0] : ((generous(X0) | humble(X0)) => tall(X0)) [i... | 0 |
If john is quiet then someone is not rich.
Everyone who is both wise and generous is both funny and not humble and vice versa.
If someone is either strong or not patient then someone is not patient and vice versa.
Everyone who is either not kind or not generous is humble or tall.
If alice is both not humble and not fun... | Lucy is not funny. | neutral | ((quiet(john))=>(?[X]:(~rich(X))))&
(![X]:((wise(X)&generous(X))<=>(funny(X)&~humble(X))))&
((?[X]:((strong(X)<~>~patient(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~kind(X)<~>~generous(X))=>(humble(X)|tall(X))))&
(((~humble(alice)&~funny(alice)))<=>(?[X]:((~wise(X)|~creative(X)))))&
(((happy(paul)<~>~calm(paul)))=>(?[X]:(... | ~funny(lucy) | [] | null | 0 |
If someone is either brave or not happy then someone is wise or funny and vice versa.
If someone is not calm or strong then someone is brave and vice versa.
Everyone who is not curious or kind is not generous and vice versa.
If fred is not curious then someone is not generous and vice versa.
If someone is either wise o... | John is not curious. | contradiction | ((?[X]:((brave(X)<~>~happy(X))))<=>(?[X]:((wise(X)|funny(X)))))&
((?[X]:((~calm(X)|strong(X))))<=>(?[X]:(brave(X))))&
(![X]:((~curious(X)|kind(X))<=>~generous(X)))&
((~curious(fred))<=>(?[X]:(~generous(X))))&
((?[X]:((wise(X)<~>~patient(X))))=>((happy(fred)|calm(fred))))&
((~wise(susan))=>(kind(mary)))&
(![X]:((funny(X... | ~curious(john) | [
"p2",
"p3",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7300706995468949903102072
% SZS output start Proof for 7300706995468949903102072
3. ! [X0] : ((kind(X0) | ~curious(X0)) <=> ~generous(X0)) [input p2]
4. ~curious(fred) <=> ? [X0] : ~generous(X0) [input p3]
13. ! [X0] : ((~old(X0) | calm(X0)) => ~funny(X0)) [input p12]
14. ! [X0] : ((old(X... | 0 |
If someone is not kind or humble then someone is both not wise and not quiet and vice versa.
Everyone who is quiet is not wise and vice versa.
Everyone who is quiet or creative is not strong and vice versa.
If someone is not funny then someone is either not patient or calm.
If someone is either not curious or patient t... | Fred is generous. | contradiction | ((?[X]:((~kind(X)|humble(X))))<=>(?[X]:((~wise(X)&~quiet(X)))))&
(![X]:(quiet(X)<=>~wise(X)))&
(![X]:((quiet(X)|creative(X))<=>~strong(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~patient(X)<~>calm(X)))))&
((?[X]:((~curious(X)<~>patient(X))))=>(?[X]:(~quiet(X))))&
((~funny(lucy))<=>(?[X]:(quiet(X))))&
((?[X]:((~calm(X)|rich(X))... | generous(fred) | [
"p0",
"p1",
"p2",
"p8",
"p9",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1454239808745544697911961
% SZS output start Proof for 1454239808745544697911961
1. ? [X0] : (humble(X0) | ~kind(X0)) <=> ? [X0] : (~quiet(X0) & ~wise(X0)) [input p0]
2. ! [X0] : (quiet(X0) <=> ~wise(X0)) [input p1]
3. ! [X0] : ((creative(X0) | quiet(X0)) <=> ~strong(X0)) [input p2]
9. ? ... | 0 |
Everyone who is brave is kind or not old. If someone is either not curious or not happy then mary is strong. If fred is both patient and not humble then someone is either not wise or kind and vice versa. Everyone who is curious or wise is not quiet. If someone is both not funny and not rich then someone is both not kin... | Lucy is not quiet. | neutral | (![X]:(brave(X)=>(kind(X)|~old(X))))&
((?[X]:((~curious(X)<~>~happy(X))))=>(strong(mary)))&
(((patient(fred)&~humble(fred)))<=>(?[X]:((~wise(X)<~>kind(X)))))&
(![X]:((curious(X)|wise(X))=>~quiet(X)))&
((?[X]:((~funny(X)&~rich(X))))<=>(?[X]:((~kind(X)&old(X)))))&
(![X]:((~funny(X)&~tall(X))<=>(rich(X)|funny(X))))&
(((~g... | ~quiet(lucy) | [] | null | 0 |
Everyone who is not generous or not rich is both not tall and calm.
Everyone who is both rich and not rich is either not creative or strong.
Everyone who is both not kind and not generous is both not curious and not happy.
If someone is not strong or funny then someone is not rich.
If lucy is not strong or curious then... | Fred is not rich. | contradiction | (![X]:((~generous(X)|~rich(X))=>(~tall(X)&calm(X))))&
(![X]:((rich(X)&~rich(X))=>(~creative(X)<~>strong(X))))&
(![X]:((~kind(X)&~generous(X))=>(~curious(X)&~happy(X))))&
((?[X]:((~strong(X)|funny(X))))=>(?[X]:(~rich(X))))&
(((~strong(lucy)|curious(lucy)))=>(?[X]:((humble(X)&~quiet(X)))))&
((?[X]:((~calm(X)<~>funny(X)))... | ~rich(fred) | [
"p0",
"p5",
"p6",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5347115582192170507341444
% SZS output start Proof for 5347115582192170507341444
1. ! [X0] : ((~rich(X0) | ~generous(X0)) => (calm(X0) & ~tall(X0))) [input p0]
6. ? [X0] : (~calm(X0) <~> funny(X0)) <=> (~generous(susan) & creative(susan)) [input p5]
7. ! [X0] : ((~brave(X0) | curious(X0))... | 0 |
Everyone who is not curious is not old.
Everyone who is generous is either not calm or brave.
Everyone who is funny or patient is not tall and vice versa.
Everyone who is either old or not old is either funny or happy and vice versa.
If susan is humble then mary is not patient and vice versa.
Everyone who is not wise i... | Susan is not tall. | contradiction | (![X]:(~curious(X)=>~old(X)))&
(![X]:(generous(X)=>(~calm(X)<~>brave(X))))&
(![X]:((funny(X)|patient(X))<=>~tall(X)))&
(![X]:((old(X)<~>~old(X))<=>(funny(X)<~>happy(X))))&
((humble(susan))<=>(~patient(mary)))&
(![X]:(~wise(X)=>~funny(X)))&
(![X]:((curious(X)<~>humble(X))<=>(~generous(X)|wise(X))))&
((?[X]:((~rich(X)|qu... | ~tall(susan) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8287401096979254223285284
% SZS output start Proof for 8287401096979254223285284
10. ! [X0] : ((rich(X0) | brave(X0)) => (happy(X0) & ~brave(X0))) [input p9]
12. ! [X0] : ((funny(X0) | ~brave(X0)) <=> (curious(X0) & tall(X0))) [input p11]
21. ~tall(susan) [input hypothesis]
27. ! [X0] : (... | 0 |
Everyone who is not tall or brave is not rich.
If someone is either not wise or kind then someone is not generous.
If someone is either generous or not patient then someone is happy or not curious and vice versa.
If john is either strong or happy then paul is either not funny or not generous and vice versa.
If lucy is ... | Lucy is not wise. | entailment | (![X]:((~tall(X)|brave(X))=>~rich(X)))&
((?[X]:((~wise(X)<~>kind(X))))=>(?[X]:(~generous(X))))&
((?[X]:((generous(X)<~>~patient(X))))<=>(?[X]:((happy(X)|~curious(X)))))&
(((strong(john)<~>happy(john)))<=>((~funny(paul)<~>~generous(paul))))&
((strong(lucy))<=>((~humble(mary)&~quiet(mary))))&
(![X]:((brave(X)&~generous(X... | ~wise(lucy) | [
"p6",
"p7",
"p12",
"p14",
"p15",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3045057950569563168685731
% SZS output start Proof for 3045057950569563168685731
7. ! [X0] : ((rich(X0) | strong(X0)) <=> ~old(X0)) [input p6]
8. ! [X0] : ((creative(X0) | wise(X0)) <=> strong(X0)) [input p7]
13. ! [X0] : (~quiet(X0) <=> (old(X0) | happy(X0))) [input p12]
15. ! [X0] : ((g... | 0 |
If someone is rich then fred is both not funny and strong and vice versa.
Everyone who is funny or not brave is tall or not humble.
Everyone who is both not tall and tall is both not patient and not happy and vice versa.
Everyone who is both kind and not strong is funny.
Everyone who is both wise and not patient is eit... | John is not funny. | neutral | ((?[X]:(rich(X)))<=>((~funny(fred)&strong(fred))))&
(![X]:((funny(X)|~brave(X))=>(tall(X)|~humble(X))))&
(![X]:((~tall(X)&tall(X))<=>(~patient(X)&~happy(X))))&
(![X]:((kind(X)&~strong(X))=>funny(X)))&
(![X]:((wise(X)&~patient(X))<=>(wise(X)<~>~rich(X))))&
(![X]:((strong(X)&creative(X))<=>(~generous(X)&old(X))))&
(![X]:... | ~funny(john) | [] | null | 0 |
Everyone who is rich or humble is strong or not rich and vice versa. If someone is calm then fred is not strong. Everyone who is either funny or not patient is not brave and vice versa. Everyone who is either calm or not rich is either not quiet or not rich and vice versa. Everyone who is either patient or not rich is ... | Lucy is not funny. | contradiction | (![X]:((rich(X)|humble(X))<=>(strong(X)|~rich(X))))&
((?[X]:(calm(X)))=>(~strong(fred)))&
(![X]:((funny(X)<~>~patient(X))<=>~brave(X)))&
(![X]:((calm(X)<~>~rich(X))<=>(~quiet(X)<~>~rich(X))))&
(![X]:((patient(X)<~>~rich(X))<=>~kind(X)))&
(![X]:((strong(X)&quiet(X))=>(quiet(X)|~generous(X))))&
((?[X]:((generous(X)<~>~ri... | ~funny(lucy) | [
"p0",
"p2",
"p4",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7174625079310846911672514
% SZS output start Proof for 7174625079310846911672514
1. ! [X0] : ((humble(X0) | rich(X0)) <=> (~rich(X0) | strong(X0))) [input p0]
3. ! [X0] : ((funny(X0) <~> ~patient(X0)) <=> ~brave(X0)) [input p2]
5. ! [X0] : ((patient(X0) <~> ~rich(X0)) <=> ~kind(X0)) [inpu... | 0 |
Everyone who is both not generous and wise is either happy or not kind and vice versa. If mary is not curious then alice is either kind or calm and vice versa. Everyone who is humble is creative or calm and vice versa. Everyone who is both not humble and creative is quiet. Everyone who is old or not curious is both not... | Alice is strong. | contradiction | (![X]:((~generous(X)&wise(X))<=>(happy(X)<~>~kind(X))))&
((~curious(mary))<=>((kind(alice)<~>calm(alice))))&
(![X]:(humble(X)<=>(creative(X)|calm(X))))&
(![X]:((~humble(X)&creative(X))=>quiet(X)))&
(![X]:((old(X)|~curious(X))=>(~old(X)&~tall(X))))&
(![X]:((creative(X)<~>old(X))=>(curious(X)|happy(X))))&
(![X]:((~calm(X... | strong(alice) | [
"p4",
"p6",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 164078520272659583402967
% SZS output start Proof for 164078520272659583402967
5. ! [X0] : ((~curious(X0) | old(X0)) => (~tall(X0) & ~old(X0))) [input p4]
7. ! [X0] : ((~old(X0) | ~calm(X0)) <=> (curious(X0) & calm(X0))) [input p6]
8. ! [X0] : ((~happy(X0) <~> happy(X0)) => (~tall(X0) <~>... | 0 |
Everyone who is both not happy and brave is curious and vice versa.
Everyone who is either calm or not brave is brave and vice versa.
Everyone who is either happy or tall is either not quiet or not tall.
Everyone who is both not funny and not brave is calm and vice versa.
Everyone who is brave or old is both not rich a... | Lucy is not old. | entailment | (![X]:((~happy(X)&brave(X))<=>curious(X)))&
(![X]:((calm(X)<~>~brave(X))<=>brave(X)))&
(![X]:((happy(X)<~>tall(X))=>(~quiet(X)<~>~tall(X))))&
(![X]:((~funny(X)&~brave(X))<=>calm(X)))&
(![X]:((brave(X)|old(X))<=>(~rich(X)&curious(X))))&
(((wise(mary)|~happy(mary)))=>(?[X]:((curious(X)|kind(X)))))&
((?[X]:((~patient(X)<~... | ~old(lucy) | [
"p0",
"p1",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4475534697709334009606592
% SZS output start Proof for 4475534697709334009606592
1. ! [X0] : ((brave(X0) & ~happy(X0)) <=> curious(X0)) [input p0]
2. ! [X0] : ((calm(X0) <~> ~brave(X0)) <=> brave(X0)) [input p1]
4. ! [X0] : ((~brave(X0) & ~funny(X0)) <=> calm(X0)) [input p3]
5. ! [X0] : (... | 0 |
Everyone who is calm or not humble is either strong or old.
If someone is either not happy or not humble then someone is either not funny or quiet and vice versa.
Everyone who is not old is not quiet or not calm.
Everyone who is either not quiet or not kind is calm or not kind and vice versa.
If alice is funny then ali... | Susan is kind. | entailment | (![X]:((calm(X)|~humble(X))=>(strong(X)<~>old(X))))&
((?[X]:((~happy(X)<~>~humble(X))))<=>(?[X]:((~funny(X)<~>quiet(X)))))&
(![X]:(~old(X)=>(~quiet(X)|~calm(X))))&
(![X]:((~quiet(X)<~>~kind(X))<=>(calm(X)|~kind(X))))&
((funny(alice))=>(wise(alice)))&
(![X]:((~tall(X)<~>~quiet(X))<=>(old(X)&~creative(X))))&
((patient(fr... | kind(susan) | [
"p2",
"p3",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2734594955972641346384655
% SZS output start Proof for 2734594955972641346384655
3. ! [X0] : (~old(X0) => (~calm(X0) | ~quiet(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) <~> ~kind(X0)) <=> (~kind(X0) | calm(X0))) [input p3]
10. ! [X0] : ((wise(X0) | ~calm(X0)) => kind(X0)) [input p9]
11. ? ... | 0 |
If someone is not brave then john is either brave or not humble and vice versa.
Everyone who is old is not old.
If someone is not creative then mary is either calm or not kind.
Everyone who is patient or not happy is both happy and not brave.
Everyone who is happy is both not funny and not old.
If someone is both not t... | Mary is strong. | contradiction | ((?[X]:(~brave(X)))<=>((brave(john)<~>~humble(john))))&
(![X]:(old(X)=>~old(X)))&
((?[X]:(~creative(X)))=>((calm(mary)<~>~kind(mary))))&
(![X]:((patient(X)|~happy(X))=>(happy(X)&~brave(X))))&
(![X]:(happy(X)=>(~funny(X)&~old(X))))&
((?[X]:((~tall(X)&patient(X))))=>(?[X]:((~curious(X)&~old(X)))))&
(![X]:((humble(X)&~hum... | strong(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4619139594256263814252588
% SZS output start Proof for 4619139594256263814252588
19. ~strong(mary) & rich(mary) [input p18]
21. strong(mary) [input hypothesis]
25. ~strong(mary) [pure predicate removal 19]
126. ~strong(mary) [cnf transformation 25]
128. strong(mary) [cnf transformation 21... | 0 |
If fred is both creative and not creative then someone is not creative.
If john is both not curious and curious then someone is both not curious and not quiet and vice versa.
Everyone who is not strong or creative is either not brave or happy and vice versa.
Everyone who is not brave is either not brave or not generous... | John is funny. | neutral | (((creative(fred)&~creative(fred)))=>(?[X]:(~creative(X))))&
(((~curious(john)&curious(john)))<=>(?[X]:((~curious(X)&~quiet(X)))))&
(![X]:((~strong(X)|creative(X))<=>(~brave(X)<~>happy(X))))&
(![X]:(~brave(X)<=>(~brave(X)<~>~generous(X))))&
((?[X]:(wise(X)))<=>((kind(john)|~curious(john))))&
(![X]:(~wise(X)<=>~creative... | funny(john) | [] | null | 0 |
Everyone who is not calm is strong or not humble. Everyone who is not quiet or not happy is either not brave or not curious. Everyone who is not humble or kind is both tall and brave and vice versa. Everyone who is not old or not generous is either strong or brave. Everyone who is brave or not curious is both wise and ... | Lucy is not curious. | entailment | (![X]:(~calm(X)=>(strong(X)|~humble(X))))&
(![X]:((~quiet(X)|~happy(X))=>(~brave(X)<~>~curious(X))))&
(![X]:((~humble(X)|kind(X))<=>(tall(X)&brave(X))))&
(![X]:((~old(X)|~generous(X))=>(strong(X)<~>brave(X))))&
(![X]:((brave(X)|~curious(X))=>(wise(X)&~humble(X))))&
(![X]:((~humble(X)&~quiet(X))=>(generous(X)|~wise(X)))... | ~curious(lucy) | [
"p1",
"p2",
"p4",
"p6",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8904525052071754469613367
% SZS output start Proof for 8904525052071754469613367
2. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (~brave(X0) <~> ~curious(X0))) [input p1]
3. ! [X0] : ((kind(X0) | ~humble(X0)) <=> (brave(X0) & tall(X0))) [input p2]
5. ! [X0] : ((~curious(X0) | brave(X0)) => (~hu... | 0 |
Everyone who is either funny or not humble is curious or not creative and vice versa.
Everyone who is not patient or happy is both not creative and not wise.
Everyone who is funny or brave is either strong or not calm and vice versa.
Everyone who is not funny or not kind is old or curious.
If fred is either creative or... | Paul is kind. | contradiction | (![X]:((funny(X)<~>~humble(X))<=>(curious(X)|~creative(X))))&
(![X]:((~patient(X)|happy(X))=>(~creative(X)&~wise(X))))&
(![X]:((funny(X)|brave(X))<=>(strong(X)<~>~calm(X))))&
(![X]:((~funny(X)|~kind(X))=>(old(X)|curious(X))))&
(((creative(fred)<~>happy(fred)))=>(~calm(john)))&
(![X]:((~strong(X)|generous(X))=>(~funny(X... | kind(paul) | [
"p0",
"p1",
"p2",
"p5",
"p7",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7587922091987201773924381
% SZS output start Proof for 7587922091987201773924381
1. ! [X0] : ((funny(X0) <~> ~humble(X0)) <=> (~creative(X0) | curious(X0))) [input p0]
2. ! [X0] : ((happy(X0) | ~patient(X0)) => (~wise(X0) & ~creative(X0))) [input p1]
3. ! [X0] : ((brave(X0) | funny(X0)) <... | 0 |
Everyone who is either generous or not brave is both not creative and not quiet. Everyone who is either not tall or not funny is both humble and not generous and vice versa. Everyone who is happy is not calm or strong and vice versa. Everyone who is both brave and not curious is patient or not patient. Everyone who is ... | Alice is tall. | contradiction | (![X]:((generous(X)<~>~brave(X))=>(~creative(X)&~quiet(X))))&
(![X]:((~tall(X)<~>~funny(X))<=>(humble(X)&~generous(X))))&
(![X]:(happy(X)<=>(~calm(X)|strong(X))))&
(![X]:((brave(X)&~curious(X))=>(patient(X)|~patient(X))))&
(![X]:(~tall(X)=>(old(X)|generous(X))))&
(![X]:((~funny(X)<~>old(X))<=>(~patient(X)|~tall(X))))&
... | tall(alice) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7367731123845054921377256
% SZS output start Proof for 7367731123845054921377256
9. ! [X0] : (~wise(X0) => (~calm(X0) & wise(X0))) [input p8]
12. ! [X0] : ((~humble(X0) | tall(X0)) => (~wise(X0) & ~quiet(X0))) [input p11]
23. tall(alice) [input hypothesis]
32. ! [X0] : ((~calm(X0) & wise(... | 0 |
Everyone who is both not old and not brave is not strong and vice versa.
Everyone who is both generous and not kind is either tall or not creative and vice versa.
Everyone who is not brave or kind is not funny and vice versa.
Everyone who is rich is wise or not tall.
Everyone who is either not curious or not calm is cu... | John is brave. | contradiction | (![X]:((~old(X)&~brave(X))<=>~strong(X)))&
(![X]:((generous(X)&~kind(X))<=>(tall(X)<~>~creative(X))))&
(![X]:((~brave(X)|kind(X))<=>~funny(X)))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(~rich(X)<=>(~calm(X)&calm(... | brave(john) | [
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8084649562566769460498365
% SZS output start Proof for 8084649562566769460498365
5. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p4]
7. ! [X0] : (~rich(X0) <=> (calm(X0) & ~calm(X0))) [input p6]
8. ? [X0] : (brave(X0) | humble(X0)) => ? [X0] : ~rich(X0) [input p7]
22. br... | 0 |
If paul is both tall and generous then someone is not creative and vice versa.
Everyone who is quiet or brave is wise.
If someone is both rich and tall then someone is either not quiet or not strong.
Everyone who is not old is kind or creative.
Everyone who is humble or patient is not tall.
If someone is not brave then... | Susan is not curious. | entailment | (((tall(paul)&generous(paul)))<=>(?[X]:(~creative(X))))&
(![X]:((quiet(X)|brave(X))=>wise(X)))&
((?[X]:((rich(X)&tall(X))))=>(?[X]:((~quiet(X)<~>~strong(X)))))&
(![X]:(~old(X)=>(kind(X)|creative(X))))&
(![X]:((humble(X)|patient(X))=>~tall(X)))&
((?[X]:(~brave(X)))<=>(?[X]:((~tall(X)|funny(X)))))&
(![X]:((generous(X)|~g... | ~curious(susan) | [
"p0",
"p4",
"p6",
"p7",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3219186594620575117859033
% SZS output start Proof for 3219186594620575117859033
1. (generous(paul) & tall(paul)) <=> ? [X0] : ~creative(X0) [input p0]
5. ! [X0] : ((patient(X0) | humble(X0)) => ~tall(X0)) [input p4]
7. ! [X0] : ((~generous(X0) | generous(X0)) => (patient(X0) & old(X0))) ... | 0 |
If fred is either rich or quiet then mary is not curious or not generous.
If lucy is not rich then alice is strong or not tall and vice versa.
If alice is both happy and not tall then someone is not happy and vice versa.
If john is either not happy or kind then alice is not calm or calm and vice versa.
Everyone who is ... | Lucy is not old. | neutral | (((rich(fred)<~>quiet(fred)))=>((~curious(mary)|~generous(mary))))&
((~rich(lucy))<=>((strong(alice)|~tall(alice))))&
(((happy(alice)&~tall(alice)))<=>(?[X]:(~happy(X))))&
(((~happy(john)<~>kind(john)))<=>((~calm(alice)|calm(alice))))&
(![X]:((creative(X)&~funny(X))<=>~calm(X)))&
(((rich(fred)<~>happy(fred)))<=>(?[X]:(... | ~old(lucy) | [] | null | 0 |
Everyone who is both brave and not happy is either generous or humble.
If someone is old then mary is not funny or not happy.
Everyone who is either creative or brave is either rich or not funny.
If lucy is either not old or not rich then someone is not old or not patient.
Everyone who is either quiet or creative is br... | Susan is not old. | neutral | (![X]:((brave(X)&~happy(X))=>(generous(X)<~>humble(X))))&
((?[X]:(old(X)))=>((~funny(mary)|~happy(mary))))&
(![X]:((creative(X)<~>brave(X))=>(rich(X)<~>~funny(X))))&
(((~old(lucy)<~>~rich(lucy)))=>(?[X]:((~old(X)|~patient(X)))))&
(![X]:((quiet(X)<~>creative(X))=>(brave(X)|~strong(X))))&
(![X]:((~kind(X)&generous(X))<=>... | ~old(susan) | [] | null | 0 |
If mary is either humble or not calm then someone is not generous and vice versa.
If lucy is not rich then someone is either not generous or calm and vice versa.
Everyone who is both tall and not curious is either not old or not patient and vice versa.
Everyone who is wise is not kind and vice versa.
Everyone who is bo... | Mary is not creative. | entailment | (((humble(mary)<~>~calm(mary)))<=>(?[X]:(~generous(X))))&
((~rich(lucy))<=>(?[X]:((~generous(X)<~>calm(X)))))&
(![X]:((tall(X)&~curious(X))<=>(~old(X)<~>~patient(X))))&
(![X]:(wise(X)<=>~kind(X)))&
(![X]:((~quiet(X)&rich(X))=>~quiet(X)))&
((?[X]:(~calm(X)))=>((~patient(alice)&happy(alice))))&
(((~brave(fred)|curious(fr... | ~creative(mary) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p8",
"p9",
"p10",
"p12",
"p13",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 81857982526548892469635
% SZS output start Proof for 81857982526548892469635
1. (humble(mary) <~> ~calm(mary)) <=> ? [X0] : ~generous(X0) [input p0]
3. ! [X0] : ((~curious(X0) & tall(X0)) <=> (~old(X0) <~> ~patient(X0))) [input p2]
4. ! [X0] : (wise(X0) <=> ~kind(X0)) [input p3]
6. ? [X0]... | 0 |
If someone is not happy then fred is strong. If susan is both calm and happy then mary is both old and patient. Everyone who is not generous or calm is not kind. Everyone who is not creative is patient or not curious and vice versa. If lucy is not curious or happy then someone is generous. Everyone who is either not st... | John is creative. | contradiction | ((?[X]:(~happy(X)))=>(strong(fred)))&
(((calm(susan)&happy(susan)))=>((old(mary)&patient(mary))))&
(![X]:((~generous(X)|calm(X))=>~kind(X)))&
(![X]:(~creative(X)<=>(patient(X)|~curious(X))))&
(((~curious(lucy)|happy(lucy)))=>(?[X]:(generous(X))))&
(![X]:((~strong(X)<~>curious(X))=>~strong(X)))&
((?[X]:((~generous(X)<~>... | creative(john) | [
"p2",
"p3",
"p5",
"p8",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1746287250690906801524707
% SZS output start Proof for 1746287250690906801524707
3. ! [X0] : ((calm(X0) | ~generous(X0)) => ~kind(X0)) [input p2]
4. ! [X0] : (~creative(X0) <=> (~curious(X0) | patient(X0))) [input p3]
6. ! [X0] : ((~strong(X0) <~> curious(X0)) => ~strong(X0)) [input p5]
9... | 0 |
Everyone who is curious or not curious is not rich or old and vice versa.
Everyone who is brave or happy is both not quiet and not humble and vice versa.
Everyone who is not rich is either tall or rich and vice versa.
Everyone who is either humble or not rich is not old and vice versa.
Everyone who is either rich or no... | Paul is kind. | neutral | (![X]:((curious(X)|~curious(X))<=>(~rich(X)|old(X))))&
(![X]:((brave(X)|happy(X))<=>(~quiet(X)&~humble(X))))&
(![X]:(~rich(X)<=>(tall(X)<~>rich(X))))&
(![X]:((humble(X)<~>~rich(X))<=>~old(X)))&
(![X]:((rich(X)<~>~wise(X))=>happy(X)))&
(![X]:(happy(X)=>(rich(X)<~>~quiet(X))))&
(![X]:(patient(X)=>~quiet(X)))&
((?[X]:(~ri... | kind(paul) | [] | null | 0 |
Everyone who is not old or not tall is funny or happy and vice versa.
Everyone who is both not strong and tall is rich and vice versa.
If someone is both not strong and not quiet then someone is brave or not humble.
Everyone who is both quiet and curious is either not generous or not quiet and vice versa.
Everyone who ... | Fred is funny. | entailment | (![X]:((~old(X)|~tall(X))<=>(funny(X)|happy(X))))&
(![X]:((~strong(X)&tall(X))<=>rich(X)))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~kind(X)))&
(![X]:((~funny(X)|kind(X))<=>~happy(X)))&
(((curious(fred)<... | funny(fred) | [
"p3",
"p6",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6767408108645348455768627
% SZS output start Proof for 6767408108645348455768627
4. ! [X0] : ((curious(X0) & quiet(X0)) <=> (~generous(X0) <~> ~quiet(X0))) [input p3]
7. (curious(fred) <~> ~calm(fred)) => (~quiet(lucy) & ~strong(lucy)) [input p6]
10. ! [X0] : (~old(X0) => (~patient(X0) & ... | 0 |
If lucy is not tall or generous then someone is both not strong and not tall.
If mary is either not calm or humble then someone is either not generous or tall and vice versa.
If someone is both brave and not quiet then someone is both not strong and calm and vice versa.
Everyone who is either funny or not kind is creat... | Susan is not old. | neutral | (((~tall(lucy)|generous(lucy)))=>(?[X]:((~strong(X)&~tall(X)))))&
(((~calm(mary)<~>humble(mary)))<=>(?[X]:((~generous(X)<~>tall(X)))))&
((?[X]:((brave(X)&~quiet(X))))<=>(?[X]:((~strong(X)&calm(X)))))&
(![X]:((funny(X)<~>~kind(X))<=>(creative(X)|strong(X))))&
(![X]:(funny(X)=>humble(X)))&
(![X]:((curious(X)<~>patient(X)... | ~old(susan) | [] | null | 0 |
Everyone who is brave or not strong is creative or not creative and vice versa. Everyone who is both not quiet and generous is either tall or strong and vice versa. Everyone who is not curious or not calm is either strong or not humble. If someone is not happy then john is either not happy or tall and vice versa. If so... | Alice is not patient. | neutral | (![X]:((brave(X)|~strong(X))<=>(creative(X)|~creative(X))))&
(![X]:((~quiet(X)&generous(X))<=>(tall(X)<~>strong(X))))&
(![X]:((~curious(X)|~calm(X))=>(strong(X)<~>~humble(X))))&
((?[X]:(~happy(X)))<=>((~happy(john)<~>tall(john))))&
((?[X]:((~kind(X)<~>tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((humble(X)&~funny(X))<=>(~s... | ~patient(alice) | [] | null | 0 |
If someone is not curious or quiet then paul is either not happy or rich and vice versa. If paul is either not curious or quiet then someone is either happy or not wise and vice versa. Everyone who is old or quiet is tall and vice versa. If fred is calm or not tall then someone is not happy. If someone is both happy an... | John is not humble. | neutral | ((?[X]:((~curious(X)|quiet(X))))<=>((~happy(paul)<~>rich(paul))))&
(((~curious(paul)<~>quiet(paul)))<=>(?[X]:((happy(X)<~>~wise(X)))))&
(![X]:((old(X)|quiet(X))<=>tall(X)))&
(((calm(fred)|~tall(fred)))=>(?[X]:(~happy(X))))&
((?[X]:((happy(X)&~tall(X))))=>(?[X]:((calm(X)<~>~wise(X)))))&
(![X]:(creative(X)<=>(~old(X)|pat... | ~humble(john) | [] | null | 0 |
If someone is not rich or not funny then paul is not wise or not funny. If lucy is both not brave and wise then lucy is rich or funny. Everyone who is either brave or not old is rich and vice versa. If john is either patient or curious then someone is both rich and not quiet. If lucy is both not rich and not humble the... | John is kind. | contradiction | ((?[X]:((~rich(X)|~funny(X))))=>((~wise(paul)|~funny(paul))))&
(((~brave(lucy)&wise(lucy)))=>((rich(lucy)|funny(lucy))))&
(![X]:((brave(X)<~>~old(X))<=>rich(X)))&
(((patient(john)<~>curious(john)))=>(?[X]:((rich(X)&~quiet(X)))))&
(((~rich(lucy)&~humble(lucy)))<=>((~kind(paul)<~>~humble(paul))))&
(((curious(john)&~stron... | kind(john) | [
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1209175600404490272471717
% SZS output start Proof for 1209175600404490272471717
8. ? [X0] : (brave(X0) | generous(X0)) => ? [X0] : (~generous(X0) | old(X0)) [input p7]
13. ? [X0] : (~brave(X0) | old(X0)) <=> (~kind(john) & funny(john)) [input p12]
14. ! [X0] : (kind(X0) <=> (kind(X0) <~>... | 0 |
Everyone who is curious is not strong and vice versa.
If someone is generous then someone is both not quiet and not humble.
Everyone who is wise is either kind or funny.
If susan is not humble then someone is either calm or curious.
Everyone who is either not tall or not brave is calm or patient.
If someone is either h... | Mary is not funny. | contradiction | (![X]:(curious(X)<=>~strong(X)))&
((?[X]:(generous(X)))=>(?[X]:((~quiet(X)&~humble(X)))))&
(![X]:(wise(X)=>(kind(X)<~>funny(X))))&
((~humble(susan))=>(?[X]:((calm(X)<~>curious(X)))))&
(![X]:((~tall(X)<~>~brave(X))=>(calm(X)|patient(X))))&
((?[X]:((happy(X)<~>generous(X))))=>(strong(mary)))&
((?[X]:((wise(X)|curious(X))... | ~funny(mary) | [
"p2",
"p7",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4849285934831392837645078
% SZS output start Proof for 4849285934831392837645078
3. ! [X0] : (wise(X0) => (kind(X0) <~> funny(X0))) [input p2]
8. ! [X0] : ((~wise(X0) | creative(X0)) <=> (~wise(X0) & rich(X0))) [input p7]
14. ! [X0] : ((~kind(X0) <~> ~rich(X0)) => ~patient(X0)) [input p13... | 0 |
If someone is generous or curious then paul is either not wise or not humble and vice versa. Everyone who is generous or not humble is wise or kind and vice versa. Everyone who is not generous or not rich is both wise and funny. Everyone who is both not old and curious is either not happy or old. Everyone who is either... | Lucy is quiet. | entailment | ((?[X]:((generous(X)|curious(X))))<=>((~wise(paul)<~>~humble(paul))))&
(![X]:((generous(X)|~humble(X))<=>(wise(X)|kind(X))))&
(![X]:((~generous(X)|~rich(X))=>(wise(X)&funny(X))))&
(![X]:((~old(X)&curious(X))=>(~happy(X)<~>old(X))))&
(![X]:((strong(X)<~>~humble(X))=>(generous(X)|~rich(X))))&
(![X]:(~patient(X)=>~curious... | quiet(lucy) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5504269728344200162351673
% SZS output start Proof for 5504269728344200162351673
7. ! [X0] : (~strong(X0) <=> (~happy(X0) & rich(X0))) [input p6]
14. ? [X0] : (happy(X0) & ~strong(X0)) <=> ? [X0] : (~quiet(X0) | ~calm(X0)) [input p13]
21. ~quiet(lucy) [input hypothesis]
23. ? [X0] : (happ... | 0 |
Everyone who is wise or not happy is old or kind. Everyone who is humble is not rich. Everyone who is not humble or curious is not funny and vice versa. Everyone who is both tall and not curious is both not curious and quiet and vice versa. If paul is creative then paul is either quiet or not strong. If susan is both n... | Lucy is funny. | contradiction | (![X]:((wise(X)|~happy(X))=>(old(X)|kind(X))))&
(![X]:(humble(X)=>~rich(X)))&
(![X]:((~humble(X)|curious(X))<=>~funny(X)))&
(![X]:((tall(X)&~curious(X))<=>(~curious(X)&quiet(X))))&
((creative(paul))=>((quiet(paul)<~>~strong(paul))))&
(((~wise(susan)&~curious(susan)))<=>((curious(fred)<~>~old(fred))))&
(![X]:(~brave(X)<... | funny(lucy) | [
"p1",
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5363772354342460677153620
% SZS output start Proof for 5363772354342460677153620
2. ! [X0] : (humble(X0) => ~rich(X0)) [input p1]
3. ! [X0] : ((curious(X0) | ~humble(X0)) <=> ~funny(X0)) [input p2]
10. ! [X0] : ((happy(X0) & rich(X0)) <=> (~humble(X0) <~> calm(X0))) [input p9]
13. ! [X0] ... | 0 |
If john is old then someone is both funny and not old.
Everyone who is brave or not strong is both quiet and not tall and vice versa.
Everyone who is not old is both creative and calm.
Everyone who is not patient or not wise is patient and vice versa.
If someone is either not wise or not creative then someone is either... | Mary is not happy. | contradiction | ((old(john))=>(?[X]:((funny(X)&~old(X)))))&
(![X]:((brave(X)|~strong(X))<=>(quiet(X)&~tall(X))))&
(![X]:(~old(X)=>(creative(X)&calm(X))))&
(![X]:((~patient(X)|~wise(X))<=>patient(X)))&
((?[X]:((~wise(X)<~>~creative(X))))=>(?[X]:((humble(X)<~>~tall(X)))))&
(![X]:((strong(X)&old(X))<=>(humble(X)&~patient(X))))&
(((~tall(... | ~happy(mary) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4032432207939678547836270
% SZS output start Proof for 4032432207939678547836270
4. ! [X0] : ((~wise(X0) | ~patient(X0)) <=> patient(X0)) [input p3]
9. ! [X0] : ((wise(X0) & ~calm(X0)) <=> (~happy(X0) | kind(X0))) [input p8]
25. ~happy(mary) [input hypothesis]
42. ! [X0] : (((~wise(X0) | ... | 0 |
Everyone who is either rich or not curious is not funny or not calm and vice versa. Everyone who is not tall or not generous is both tall and curious. Everyone who is either not creative or not patient is kind. Everyone who is quiet or not wise is not calm. If mary is both not kind and not creative then fred is wise or... | Mary is curious. | neutral | (![X]:((rich(X)<~>~curious(X))<=>(~funny(X)|~calm(X))))&
(![X]:((~tall(X)|~generous(X))=>(tall(X)&curious(X))))&
(![X]:((~creative(X)<~>~patient(X))=>kind(X)))&
(![X]:((quiet(X)|~wise(X))=>~calm(X)))&
(((~kind(mary)&~creative(mary)))<=>((wise(fred)|~quiet(fred))))&
((?[X]:(humble(X)))=>(?[X]:((calm(X)&old(X)))))&
((~cr... | curious(mary) | [] | null | 0 |
Everyone who is both curious and not patient is both rich and not wise.
Everyone who is either not funny or not quiet is creative or not wise.
If alice is both not happy and tall then susan is not creative or not wise and vice versa.
If paul is both not kind and not quiet then someone is both tall and calm.
Everyone wh... | Alice is not brave. | entailment | (![X]:((curious(X)&~patient(X))=>(rich(X)&~wise(X))))&
(![X]:((~funny(X)<~>~quiet(X))=>(creative(X)|~wise(X))))&
(((~happy(alice)&tall(alice)))<=>((~creative(susan)|~wise(susan))))&
(((~kind(paul)&~quiet(paul)))=>(?[X]:((tall(X)&calm(X)))))&
(![X]:((~kind(X)|~quiet(X))=>~humble(X)))&
(((tall(fred)&~rich(fred)))<=>(?[X]... | ~brave(alice) | [
"p5",
"p7",
"p10",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 555105903899400307562411
% SZS output start Proof for 555105903899400307562411
6. (~rich(fred) & tall(fred)) <=> ? [X0] : (funny(X0) | calm(X0)) [input p5]
8. ! [X0] : ((quiet(X0) | tall(X0)) => (~strong(X0) & ~patient(X0))) [input p7]
11. ! [X0] : ((rich(X0) | patient(X0)) <=> (tall(X0) ... | 0 |
If mary is both not calm and wise then someone is both not strong and not rich. Everyone who is both generous and strong is either not kind or not rich and vice versa. Everyone who is either not brave or rich is calm and vice versa. Everyone who is patient is either patient or old and vice versa. Everyone who is not pa... | Mary is old. | contradiction | (((~calm(mary)&wise(mary)))=>(?[X]:((~strong(X)&~rich(X)))))&
(![X]:((generous(X)&strong(X))<=>(~kind(X)<~>~rich(X))))&
(![X]:((~brave(X)<~>rich(X))<=>calm(X)))&
(![X]:(patient(X)<=>(patient(X)<~>old(X))))&
(![X]:(~patient(X)=>(calm(X)|~wise(X))))&
(![X]:(~strong(X)=>(~calm(X)<~>~tall(X))))&
((?[X]:((~humble(X)&~genero... | old(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1514910372715445396211230
% SZS output start Proof for 1514910372715445396211230
4. ! [X0] : (patient(X0) <=> (patient(X0) <~> old(X0))) [input p3]
25. old(mary) [input hypothesis]
47. ! [X0] : ((patient(X0) | ((patient(X0) | ~old(X0)) & (old(X0) | ~patient(X0)))) & (((~old(X0) | ~patient... | 0 |
Everyone who is not kind or creative is either not creative or wise.
Everyone who is old or rich is not calm or happy.
Everyone who is not patient or not kind is old or patient and vice versa.
If alice is not strong or patient then someone is not creative or humble.
Everyone who is kind or not kind is either not patien... | Susan is patient. | contradiction | (![X]:((~kind(X)|creative(X))=>(~creative(X)<~>wise(X))))&
(![X]:((old(X)|rich(X))=>(~calm(X)|happy(X))))&
(![X]:((~patient(X)|~kind(X))<=>(old(X)|patient(X))))&
(((~strong(alice)|patient(alice)))=>(?[X]:((~creative(X)|humble(X)))))&
(![X]:((kind(X)|~kind(X))=>(~patient(X)<~>funny(X))))&
(![X]:(creative(X)=>(~patient(X... | patient(susan) | [
"p2",
"p4",
"p6",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5270993673038304460122383
% SZS output start Proof for 5270993673038304460122383
3. ! [X0] : ((~kind(X0) | ~patient(X0)) <=> (patient(X0) | old(X0))) [input p2]
5. ! [X0] : ((~kind(X0) | kind(X0)) => (~patient(X0) <~> funny(X0))) [input p4]
7. ! [X0] : ((happy(X0) | ~wise(X0)) => brave(X0... | 0 |
Everyone who is either not funny or not humble is not old or not humble.
If susan is both curious and not strong then someone is humble.
Everyone who is both wise and happy is not rich or not quiet and vice versa.
If someone is old then someone is both not tall and humble.
If lucy is either old or not brave then someon... | Alice is kind. | contradiction | (![X]:((~funny(X)<~>~humble(X))=>(~old(X)|~humble(X))))&
(((curious(susan)&~strong(susan)))=>(?[X]:(humble(X))))&
(![X]:((wise(X)&happy(X))<=>(~rich(X)|~quiet(X))))&
((?[X]:(old(X)))=>(?[X]:((~tall(X)&humble(X)))))&
(((old(lucy)<~>~brave(lucy)))<=>(?[X]:((~strong(X)<~>~calm(X)))))&
(![X]:(humble(X)<=>funny(X)))&
((?[X]... | kind(alice) | [
"p2",
"p5",
"p7",
"p9",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 851092952640160265091253
% SZS output start Proof for 851092952640160265091253
3. ! [X0] : ((happy(X0) & wise(X0)) <=> (~quiet(X0) | ~rich(X0))) [input p2]
6. ! [X0] : (humble(X0) <=> funny(X0)) [input p5]
8. ! [X0] : ((~tall(X0) | ~wise(X0)) <=> (humble(X0) & ~wise(X0))) [input p7]
10. !... | 0 |
Everyone who is not wise or not happy is either wise or rich. Everyone who is either not creative or not rich is not humble and vice versa. If someone is not patient then susan is not patient. If fred is both generous and not strong then someone is not rich or not patient. If someone is not old then lucy is not rich an... | Susan is not patient. | neutral | (![X]:((~wise(X)|~happy(X))=>(wise(X)<~>rich(X))))&
(![X]:((~creative(X)<~>~rich(X))<=>~humble(X)))&
((?[X]:(~patient(X)))=>(~patient(susan)))&
(((generous(fred)&~strong(fred)))=>(?[X]:((~rich(X)|~patient(X)))))&
((?[X]:(~old(X)))<=>(~rich(lucy)))&
(![X]:(~tall(X)=>(curious(X)|~generous(X))))&
((?[X]:((patient(X)<~>~ri... | ~patient(susan) | [] | null | 0 |
Everyone who is both quiet and happy is either not wise or not creative and vice versa.
Everyone who is quiet is either not patient or not happy and vice versa.
Everyone who is quiet or not curious is not wise.
Everyone who is either not wise or not kind is both funny and not kind.
If someone is not curious then someon... | John is not humble. | neutral | (![X]:((quiet(X)&happy(X))<=>(~wise(X)<~>~creative(X))))&
(![X]:(quiet(X)<=>(~patient(X)<~>~happy(X))))&
(![X]:((quiet(X)|~curious(X))=>~wise(X)))&
(![X]:((~wise(X)<~>~kind(X))=>(funny(X)&~kind(X))))&
((?[X]:(~curious(X)))<=>(?[X]:(~old(X))))&
(![X]:((~humble(X)&quiet(X))<=>(happy(X)<~>~calm(X))))&
(![X]:(~patient(X)=>... | ~humble(john) | [] | null | 0 |
Everyone who is either wise or rich is either not rich or quiet. Everyone who is not curious or patient is both humble and not creative. If fred is not tall or not kind then lucy is curious or not strong. Everyone who is either quiet or old is not old and vice versa. If someone is strong then someone is not quiet and v... | Paul is not brave. | contradiction | (![X]:((wise(X)<~>rich(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((~curious(X)|patient(X))=>(humble(X)&~creative(X))))&
(((~tall(fred)|~kind(fred)))=>((curious(lucy)|~strong(lucy))))&
(![X]:((quiet(X)<~>old(X))<=>~old(X)))&
((?[X]:(strong(X)))<=>(?[X]:(~quiet(X))))&
((~funny(alice))=>(?[X]:((generous(X)|~quiet(X)))))&
(![X]:... | ~brave(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8972615077174028972899971
% SZS output start Proof for 8972615077174028972899971
8. ! [X0] : (brave(X0) <=> (old(X0) <~> ~old(X0))) [input p7]
25. ~brave(paul) [input hypothesis]
48. ! [X0] : ((brave(X0) | ((old(X0) | old(X0)) & (~old(X0) | ~old(X0)))) & (((old(X0) | ~old(X0)) & (~old(X0)... | 0 |
Everyone who is tall is either curious or not creative.
Everyone who is not old or not tall is funny.
Everyone who is not kind is either not wise or calm and vice versa.
Everyone who is either calm or wise is not kind or kind.
Everyone who is rich or creative is not humble and vice versa.
Everyone who is either happy o... | Lucy is not patient. | contradiction | (![X]:(tall(X)=>(curious(X)<~>~creative(X))))&
(![X]:((~old(X)|~tall(X))=>funny(X)))&
(![X]:(~kind(X)<=>(~wise(X)<~>calm(X))))&
(![X]:((calm(X)<~>wise(X))=>(~kind(X)|kind(X))))&
(![X]:((rich(X)|creative(X))<=>~humble(X)))&
(![X]:((happy(X)<~>brave(X))=>(funny(X)|calm(X))))&
(![X]:((~humble(X)<~>~funny(X))=>(creative(X)... | ~patient(lucy) | [
"p2",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5930832776048686617387473
% SZS output start Proof for 5930832776048686617387473
3. ! [X0] : (~kind(X0) <=> (~wise(X0) <~> calm(X0))) [input p2]
12. ! [X0] : ((patient(X0) & curious(X0)) <=> (calm(X0) | ~wise(X0))) [input p11]
23. funny(lucy) & ~kind(lucy) [input p22]
25. ~patient(lucy) [... | 0 |
Everyone who is calm is quiet or not creative and vice versa.
Everyone who is not humble is both funny and rich.
If someone is either humble or not curious then alice is both not humble and not curious and vice versa.
If someone is both not humble and not kind then john is not old or rich and vice versa.
Everyone who i... | John is generous. | entailment | (![X]:(calm(X)<=>(quiet(X)|~creative(X))))&
(![X]:(~humble(X)=>(funny(X)&rich(X))))&
((?[X]:((humble(X)<~>~curious(X))))<=>((~humble(alice)&~curious(alice))))&
((?[X]:((~humble(X)&~kind(X))))<=>((~old(john)|rich(john))))&
(![X]:(rich(X)=>(wise(X)|~patient(X))))&
(![X]:((patient(X)<~>~patient(X))<=>(~generous(X)|~wise(X... | generous(john) | [
"p1",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5436637538859863622399039
% SZS output start Proof for 5436637538859863622399039
2. ! [X0] : (~humble(X0) => (rich(X0) & funny(X0))) [input p1]
10. ! [X0] : ((~kind(X0) & ~rich(X0)) <=> (rich(X0) | happy(X0))) [input p9]
14. ! [X0] : ((humble(X0) | ~quiet(X0)) => (~tall(X0) & creative(X0)... | 0 |
Everyone who is either not kind or not curious is generous and vice versa.
Everyone who is not kind is not quiet or not humble and vice versa.
Everyone who is both generous and happy is both kind and not kind and vice versa.
Everyone who is happy or tall is both wise and curious and vice versa.
Everyone who is not crea... | Alice is not kind. | entailment | (![X]:((~kind(X)<~>~curious(X))<=>generous(X)))&
(![X]:(~kind(X)<=>(~quiet(X)|~humble(X))))&
(![X]:((generous(X)&happy(X))<=>(kind(X)&~kind(X))))&
(![X]:((happy(X)|tall(X))<=>(wise(X)&curious(X))))&
(![X]:((~creative(X)|wise(X))<=>(humble(X)<~>wise(X))))&
(((calm(mary)<~>curious(mary)))=>(?[X]:(strong(X))))&
(((~patien... | ~kind(alice) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8726598248392125614100242
% SZS output start Proof for 8726598248392125614100242
1. ! [X0] : ((~kind(X0) <~> ~curious(X0)) <=> generous(X0)) [input p0]
2. ! [X0] : (~kind(X0) <=> (~humble(X0) | ~quiet(X0))) [input p1]
3. ! [X0] : ((happy(X0) & generous(X0)) <=> (~kind(X0) & kind(X0))) [in... | 0 |
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