premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not generous or curious is brave or patient.
Everyone who is quiet is either not brave or not curious and vice versa.
Everyone who is not calm is either not humble or brave and vice versa.
If someone is not kind then someone is curious or not tall and vice versa.
If alice is kind then someone is ... | Susan is not quiet. | neutral | (![X]:((~generous(X)<~>curious(X))=>(brave(X)|patient(X))))&
(![X]:(quiet(X)<=>(~brave(X)<~>~curious(X))))&
(![X]:(~calm(X)<=>(~humble(X)<~>brave(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((curious(X)|~tall(X)))))&
((kind(alice))=>(?[X]:(~creative(X))))&
(![X]:((~funny(X)|kind(X))=>(~strong(X)|~tall(X))))&
((?[X]:((patient(X)<... | ~quiet(susan) | [] | null | 0 |
Everyone who is both not creative and wise is not happy or not brave and vice versa.
Everyone who is either wise or old is rich or funny and vice versa.
If someone is either strong or not strong then someone is both rich and funny and vice versa.
If someone is both not kind and not brave then alice is both not creative... | Fred is wise. | entailment | (![X]:((~creative(X)&wise(X))<=>(~happy(X)|~brave(X))))&
(![X]:((wise(X)<~>old(X))<=>(rich(X)|funny(X))))&
((?[X]:((strong(X)<~>~strong(X))))<=>(?[X]:((rich(X)&funny(X)))))&
((?[X]:((~kind(X)&~brave(X))))=>((~creative(alice)&~quiet(alice))))&
(![X]:((curious(X)<~>~old(X))<=>(calm(X)<~>~patient(X))))&
(![X]:((tall(X)&~s... | wise(fred) | [
"p1",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5506005285771000622939500
% SZS output start Proof for 5506005285771000622939500
2. ! [X0] : ((wise(X0) <~> old(X0)) <=> (funny(X0) | rich(X0))) [input p1]
6. ! [X0] : ((~strong(X0) & tall(X0)) <=> strong(X0)) [input p5]
16. ! [X0] : ((~funny(X0) | old(X0)) => (humble(X0) & tall(X0))) [in... | 0 |
Everyone who is brave is both old and tall and vice versa.
If susan is kind then alice is either kind or not generous and vice versa.
If susan is both humble and not patient then paul is not wise or calm.
If fred is not strong or not quiet then someone is both not old and not funny and vice versa.
If someone is either ... | Fred is not strong. | contradiction | (![X]:(brave(X)<=>(old(X)&tall(X))))&
((kind(susan))<=>((kind(alice)<~>~generous(alice))))&
(((humble(susan)&~patient(susan)))=>((~wise(paul)|calm(paul))))&
(((~strong(fred)|~quiet(fred)))<=>(?[X]:((~old(X)&~funny(X)))))&
((?[X]:((strong(X)<~>humble(X))))=>(~strong(alice)))&
(![X]:((kind(X)<~>creative(X))<=>(tall(X)&fu... | ~strong(fred) | [
"p0",
"p3",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5235586622072929843495324
% SZS output start Proof for 5235586622072929843495324
1. ! [X0] : (brave(X0) <=> (tall(X0) & old(X0))) [input p0]
4. (~quiet(fred) | ~strong(fred)) <=> ? [X0] : (~funny(X0) & ~old(X0)) [input p3]
10. ! [X0] : ((~curious(X0) | ~old(X0)) => (~creative(X0) <~> ~bra... | 0 |
Everyone who is either tall or not old is both not creative and generous. Everyone who is either not tall or not patient is both patient and not creative. Everyone who is both not strong and quiet is wise and vice versa. Everyone who is not creative or not brave is either creative or not brave and vice versa. If fred i... | Paul is not brave. | entailment | (![X]:((tall(X)<~>~old(X))=>(~creative(X)&generous(X))))&
(![X]:((~tall(X)<~>~patient(X))=>(patient(X)&~creative(X))))&
(![X]:((~strong(X)&quiet(X))<=>wise(X)))&
(![X]:((~creative(X)|~brave(X))<=>(creative(X)<~>~brave(X))))&
(((~kind(fred)<~>patient(fred)))=>(?[X]:((~curious(X)<~>~kind(X)))))&
((~tall(lucy))=>(?[X]:(cu... | ~brave(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7542237151866209344858436
% SZS output start Proof for 7542237151866209344858436
4. ! [X0] : ((~brave(X0) | ~creative(X0)) <=> (creative(X0) <~> ~brave(X0))) [input p3]
25. brave(paul) [input hypothesis]
43. ! [X0] : (((~brave(X0) | ~creative(X0)) | ((creative(X0) | brave(X0)) & (~brave(X... | 0 |
If someone is not happy or not wise then paul is either wise or not kind and vice versa.
Everyone who is both calm and generous is either humble or not generous and vice versa.
If lucy is not quiet or not calm then paul is not kind.
Everyone who is both humble and not kind is either creative or kind.
Everyone who is ei... | Fred is happy. | entailment | ((?[X]:((~happy(X)|~wise(X))))<=>((wise(paul)<~>~kind(paul))))&
(![X]:((calm(X)&generous(X))<=>(humble(X)<~>~generous(X))))&
(((~quiet(lucy)|~calm(lucy)))=>(~kind(paul)))&
(![X]:((humble(X)&~kind(X))=>(creative(X)<~>kind(X))))&
(![X]:((strong(X)<~>tall(X))=>(generous(X)<~>brave(X))))&
(![X]:(~wise(X)<=>(~happy(X)<~>cre... | happy(fred) | [
"p5",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8684086470945559748634857
% SZS output start Proof for 8684086470945559748634857
6. ! [X0] : (~wise(X0) <=> (~happy(X0) <~> creative(X0))) [input p5]
9. ! [X0] : ((wise(X0) <~> ~brave(X0)) <=> (~wise(X0) | ~creative(X0))) [input p8]
20. brave(fred) [input p19]
25. ~happy(fred) [input hypo... | 0 |
If someone is both not wise and not rich then susan is both patient and not kind.
If alice is either not kind or funny then someone is either not kind or funny.
If fred is not curious then john is not funny and vice versa.
Everyone who is both creative and funny is either not tall or funny and vice versa.
If someone is... | Fred is not funny. | neutral | ((?[X]:((~wise(X)&~rich(X))))=>((patient(susan)&~kind(susan))))&
(((~kind(alice)<~>funny(alice)))=>(?[X]:((~kind(X)<~>funny(X)))))&
((~curious(fred))<=>(~funny(john)))&
(![X]:((creative(X)&funny(X))<=>(~tall(X)<~>funny(X))))&
((?[X]:(rich(X)))=>(tall(paul)))&
(![X]:(~creative(X)<=>(~old(X)<~>~humble(X))))&
(![X]:((~bra... | ~funny(fred) | [] | null | 0 |
Everyone who is both humble and not tall is humble. If lucy is both not quiet and strong then alice is both not calm and wise and vice versa. If fred is either not patient or brave then mary is both happy and not rich. If john is not creative then paul is creative or old and vice versa. If susan is not patient then joh... | Susan is not curious. | entailment | (![X]:((humble(X)&~tall(X))=>humble(X)))&
(((~quiet(lucy)&strong(lucy)))<=>((~calm(alice)&wise(alice))))&
(((~patient(fred)<~>brave(fred)))=>((happy(mary)&~rich(mary))))&
((~creative(john))<=>((creative(paul)|old(paul))))&
((~patient(susan))=>(~creative(john)))&
(![X]:((~rich(X)&strong(X))<=>~strong(X)))&
((?[X]:(~funn... | ~curious(susan) | [
"p5",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 513839218246225552940001
% SZS output start Proof for 513839218246225552940001
6. ! [X0] : ((strong(X0) & ~rich(X0)) <=> ~strong(X0)) [input p5]
12. ! [X0] : (wise(X0) <=> ~strong(X0)) [input p11]
14. ! [X0] : ((kind(X0) | curious(X0)) => wise(X0)) [input p13]
21. curious(susan) [input hy... | 0 |
If someone is not curious then john is both happy and not strong.
Everyone who is either humble or rich is tall or not patient and vice versa.
Everyone who is both generous and strong is brave or happy and vice versa.
Everyone who is not old or not kind is not funny.
If john is either wise or not funny then someone is ... | Susan is not quiet. | entailment | ((?[X]:(~curious(X)))=>((happy(john)&~strong(john))))&
(![X]:((humble(X)<~>rich(X))<=>(tall(X)|~patient(X))))&
(![X]:((generous(X)&strong(X))<=>(brave(X)|happy(X))))&
(![X]:((~old(X)|~kind(X))=>~funny(X)))&
(((wise(john)<~>~funny(john)))<=>(?[X]:((curious(X)<~>rich(X)))))&
(![X]:((rich(X)&~brave(X))<=>patient(X)))&
((?... | ~quiet(susan) | [
"p0",
"p2",
"p3",
"p4",
"p7",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 246797334521752189328873
% SZS output start Proof for 246797334521752189328873
1. ? [X0] : ~curious(X0) => (~strong(john) & happy(john)) [input p0]
3. ! [X0] : ((strong(X0) & generous(X0)) <=> (happy(X0) | brave(X0))) [input p2]
4. ! [X0] : ((~kind(X0) | ~old(X0)) => ~funny(X0)) [input p3... | 0 |
If mary is both not rich and not happy then mary is not wise. If someone is both not creative and not quiet then mary is not creative. Everyone who is either happy or not humble is both happy and not old and vice versa. Everyone who is not strong is strong. Everyone who is both calm and not rich is strong and vice vers... | Paul is calm. | entailment | (((~rich(mary)&~happy(mary)))=>(~wise(mary)))&
((?[X]:((~creative(X)&~quiet(X))))=>(~creative(mary)))&
(![X]:((happy(X)<~>~humble(X))<=>(happy(X)&~old(X))))&
(![X]:(~strong(X)=>strong(X)))&
(![X]:((calm(X)&~rich(X))<=>strong(X)))&
(![X]:((~brave(X)<~>~calm(X))<=>generous(X)))&
(![X]:((funny(X)<~>old(X))=>(~brave(X)|cre... | calm(paul) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1416507871896009325105070
% SZS output start Proof for 1416507871896009325105070
4. ! [X0] : (~strong(X0) => strong(X0)) [input p3]
5. ! [X0] : ((~rich(X0) & calm(X0)) <=> strong(X0)) [input p4]
21. ~calm(paul) [input hypothesis]
29. ! [X0] : (strong(X0) | strong(X0)) [ennf transformation... | 0 |
If alice is funny then someone is old or not happy. If someone is either not generous or old then someone is not patient or not happy. Everyone who is calm or not creative is strong and vice versa. If someone is both not wise and patient then mary is either generous or not humble. If someone is quiet or old then someon... | Alice is kind. | neutral | ((funny(alice))=>(?[X]:((old(X)|~happy(X)))))&
((?[X]:((~generous(X)<~>old(X))))=>(?[X]:((~patient(X)|~happy(X)))))&
(![X]:((calm(X)|~creative(X))<=>strong(X)))&
((?[X]:((~wise(X)&patient(X))))=>((generous(mary)<~>~humble(mary))))&
((?[X]:((quiet(X)|old(X))))=>(?[X]:((patient(X)&~humble(X)))))&
(![X]:((happy(X)&patient... | kind(alice) | [] | null | 0 |
If someone is not kind then someone is not quiet or humble and vice versa.
Everyone who is both not happy and rich is both curious and strong and vice versa.
Everyone who is either not rich or not old is not funny.
If john is not wise then alice is not patient or not tall.
Everyone who is happy or not rich is humble or... | Susan is not creative. | neutral | ((?[X]:(~kind(X)))<=>(?[X]:((~quiet(X)|humble(X)))))&
(![X]:((~happy(X)&rich(X))<=>(curious(X)&strong(X))))&
(![X]:((~rich(X)<~>~old(X))=>~funny(X)))&
((~wise(john))=>((~patient(alice)|~tall(alice))))&
(![X]:((happy(X)|~rich(X))<=>(humble(X)|rich(X))))&
(![X]:((~funny(X)|old(X))<=>(funny(X)|creative(X))))&
(![X]:((~str... | ~creative(susan) | [] | null | 0 |
If alice is not calm then susan is tall and vice versa. If someone is kind then alice is either not curious or not creative. Everyone who is not calm is not humble or curious. Everyone who is either humble or not curious is rich and vice versa. If alice is both not calm and rich then someone is either not humble or not... | Alice is not calm. | neutral | ((~calm(alice))<=>(tall(susan)))&
((?[X]:(kind(X)))=>((~curious(alice)<~>~creative(alice))))&
(![X]:(~calm(X)=>(~humble(X)|curious(X))))&
(![X]:((humble(X)<~>~curious(X))<=>rich(X)))&
(((~calm(alice)&rich(alice)))=>(?[X]:((~humble(X)<~>~brave(X)))))&
(![X]:((strong(X)&~generous(X))<=>(~tall(X)|quiet(X))))&
((?[X]:((~br... | ~calm(alice) | [] | null | 0 |
If someone is not rich then someone is generous or humble. Everyone who is not strong is either not kind or not strong. If someone is both funny and generous then someone is funny. If someone is both patient and not tall then someone is both not generous and not strong and vice versa. If someone is not creative or not ... | Mary is wise. | neutral | ((?[X]:(~rich(X)))=>(?[X]:((generous(X)|humble(X)))))&
(![X]:(~strong(X)=>(~kind(X)<~>~strong(X))))&
((?[X]:((funny(X)&generous(X))))=>(?[X]:(funny(X))))&
((?[X]:((patient(X)&~tall(X))))<=>(?[X]:((~generous(X)&~strong(X)))))&
((?[X]:((~creative(X)|~humble(X))))=>((~strong(susan)&brave(susan))))&
(![X]:(kind(X)=>(rich(X... | wise(mary) | [] | null | 0 |
Everyone who is not wise is old.
Everyone who is not calm or calm is happy or not old.
Everyone who is both happy and not old is not brave or not quiet and vice versa.
If lucy is funny then alice is not curious and vice versa.
Everyone who is either not calm or not wise is not curious or not rich and vice versa.
If joh... | Fred is wise. | entailment | (![X]:(~wise(X)=>old(X)))&
(![X]:((~calm(X)|calm(X))=>(happy(X)|~old(X))))&
(![X]:((happy(X)&~old(X))<=>(~brave(X)|~quiet(X))))&
((funny(lucy))<=>(~curious(alice)))&
(![X]:((~calm(X)<~>~wise(X))<=>(~curious(X)|~rich(X))))&
((kind(john))=>(?[X]:((~happy(X)&~creative(X)))))&
(![X]:((~strong(X)&old(X))=>(happy(X)|~strong(... | wise(fred) | [
"p0",
"p1",
"p2",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8899781051421427737139051
% SZS output start Proof for 8899781051421427737139051
1. ! [X0] : (~wise(X0) => old(X0)) [input p0]
2. ! [X0] : ((calm(X0) | ~calm(X0)) => (~old(X0) | happy(X0))) [input p1]
3. ! [X0] : ((~old(X0) & happy(X0)) <=> (~quiet(X0) | ~brave(X0))) [input p2]
8. ! [X0] ... | 0 |
If lucy is either brave or creative then someone is both humble and rich and vice versa. Everyone who is curious or wise is either creative or not rich and vice versa. If someone is either wise or happy then alice is both not happy and quiet and vice versa. Everyone who is both brave and creative is both not quiet and ... | Paul is old. | entailment | (((brave(lucy)<~>creative(lucy)))<=>(?[X]:((humble(X)&rich(X)))))&
(![X]:((curious(X)|wise(X))<=>(creative(X)<~>~rich(X))))&
((?[X]:((wise(X)<~>happy(X))))<=>((~happy(alice)&quiet(alice))))&
(![X]:((brave(X)&creative(X))=>(~quiet(X)&~patient(X))))&
(![X]:((~rich(X)|curious(X))=>quiet(X)))&
(![X]:(creative(X)=>(calm(X)<... | old(paul) | [
"p11",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5270936064491965561957645
% SZS output start Proof for 5270936064491965561957645
12. ! [X0] : ((~funny(X0) | ~old(X0)) <=> (quiet(X0) & wise(X0))) [input p11]
13. ! [X0] : (~strong(X0) => ~quiet(X0)) [input p12]
15. ! [X0] : ((tall(X0) | ~curious(X0)) => (~quiet(X0) | ~strong(X0))) [input... | 0 |
Everyone who is not quiet or old is not old and vice versa.
If someone is calm or strong then someone is patient or not humble and vice versa.
If mary is either not generous or not old then someone is both brave and not rich.
Everyone who is calm or strong is creative or not creative and vice versa.
If john is either c... | Mary is quiet. | contradiction | (![X]:((~quiet(X)|old(X))<=>~old(X)))&
((?[X]:((calm(X)|strong(X))))<=>(?[X]:((patient(X)|~humble(X)))))&
(((~generous(mary)<~>~old(mary)))=>(?[X]:((brave(X)&~rich(X)))))&
(![X]:((calm(X)|strong(X))<=>(creative(X)|~creative(X))))&
(((creative(john)<~>tall(john)))<=>((old(paul)&calm(paul))))&
(![X]:((happy(X)<~>creative... | quiet(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5620626124036979711881969
% SZS output start Proof for 5620626124036979711881969
1. ! [X0] : ((old(X0) | ~quiet(X0)) <=> ~old(X0)) [input p0]
23. quiet(mary) [input hypothesis]
33. ! [X0] : (((old(X0) | ~quiet(X0)) | old(X0)) & (~old(X0) | (~old(X0) & quiet(X0)))) [nnf transformation 1]
3... | 0 |
Everyone who is either quiet or not wise is tall.
Everyone who is either not brave or not generous is old or not happy and vice versa.
Everyone who is both generous and not creative is either kind or not kind.
If someone is not generous or humble then alice is both not happy and creative.
If paul is either generous or ... | Susan is humble. | neutral | (![X]:((quiet(X)<~>~wise(X))=>tall(X)))&
(![X]:((~brave(X)<~>~generous(X))<=>(old(X)|~happy(X))))&
(![X]:((generous(X)&~creative(X))=>(kind(X)<~>~kind(X))))&
((?[X]:((~generous(X)|humble(X))))=>((~happy(alice)&creative(alice))))&
(((generous(paul)<~>~generous(paul)))=>((~old(lucy)<~>~calm(lucy))))&
((?[X]:((~generous(X... | humble(susan) | [] | null | 0 |
Everyone who is both calm and not funny is humble or not rich.
Everyone who is both not happy and old is both not brave and brave and vice versa.
If someone is not humble then lucy is both humble and not generous.
If someone is both rich and calm then someone is not brave and vice versa.
If someone is both not brave an... | Susan is not kind. | contradiction | (![X]:((calm(X)&~funny(X))=>(humble(X)|~rich(X))))&
(![X]:((~happy(X)&old(X))<=>(~brave(X)&brave(X))))&
((?[X]:(~humble(X)))=>((humble(lucy)&~generous(lucy))))&
((?[X]:((rich(X)&calm(X))))<=>(?[X]:(~brave(X))))&
((?[X]:((~brave(X)&~wise(X))))=>((~strong(susan)|~rich(susan))))&
(![X]:((rich(X)<~>~strong(X))<=>(~generous... | ~kind(susan) | [
"p0",
"p3",
"p6",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6215015246707205648450651
% SZS output start Proof for 6215015246707205648450651
1. ! [X0] : ((~funny(X0) & calm(X0)) => (~rich(X0) | humble(X0))) [input p0]
4. ? [X0] : (calm(X0) & rich(X0)) <=> ? [X0] : ~brave(X0) [input p3]
7. ! [X0] : ((~curious(X0) | calm(X0)) => ~humble(X0)) [input ... | 0 |
Everyone who is either calm or rich is both not calm and not quiet.
If someone is quiet or not creative then someone is not wise or patient.
If john is generous then someone is kind and vice versa.
Everyone who is not quiet or wise is either not curious or not tall and vice versa.
Everyone who is not quiet or not patie... | Paul is patient. | contradiction | (![X]:((calm(X)<~>rich(X))=>(~calm(X)&~quiet(X))))&
((?[X]:((quiet(X)|~creative(X))))=>(?[X]:((~wise(X)|patient(X)))))&
((generous(john))<=>(?[X]:(kind(X))))&
(![X]:((~quiet(X)|wise(X))<=>(~curious(X)<~>~tall(X))))&
(![X]:((~quiet(X)|~patient(X))=>(~patient(X)|generous(X))))&
(![X]:((happy(X)|~patient(X))<=>curious(X))... | patient(paul) | [
"p7",
"p8",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 621611191203210901572027
% SZS output start Proof for 621611191203210901572027
8. ! [X0] : ((funny(X0) | ~creative(X0)) => (~funny(X0) | kind(X0))) [input p7]
9. ! [X0] : ((~quiet(X0) <~> old(X0)) <=> (creative(X0) | ~quiet(X0))) [input p8]
15. ! [X0] : ((~old(X0) <~> ~kind(X0)) => (~wise... | 0 |
If alice is kind then someone is not quiet or happy. If paul is not calm or not creative then john is both not kind and not quiet and vice versa. If someone is not patient or not funny then someone is curious and vice versa. Everyone who is either not generous or rich is both humble and rich. Everyone who is not curiou... | John is not old. | neutral | ((kind(alice))=>(?[X]:((~quiet(X)|happy(X)))))&
(((~calm(paul)|~creative(paul)))<=>((~kind(john)&~quiet(john))))&
((?[X]:((~patient(X)|~funny(X))))<=>(?[X]:(curious(X))))&
(![X]:((~generous(X)<~>rich(X))=>(humble(X)&rich(X))))&
(![X]:(~curious(X)<=>(quiet(X)|~brave(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((~tall(X)|humble(X)... | ~old(john) | [] | null | 0 |
Everyone who is brave is tall or wise and vice versa.
Everyone who is either old or not wise is both not brave and rich and vice versa.
If john is not funny then lucy is brave.
If someone is quiet then mary is both calm and not generous and vice versa.
If someone is tall then fred is generous and vice versa.
Everyone w... | Fred is tall. | contradiction | (![X]:(brave(X)<=>(tall(X)|wise(X))))&
(![X]:((old(X)<~>~wise(X))<=>(~brave(X)&rich(X))))&
((~funny(john))=>(brave(lucy)))&
((?[X]:(quiet(X)))<=>((calm(mary)&~generous(mary))))&
((?[X]:(tall(X)))<=>(generous(fred)))&
(![X]:(calm(X)<=>(~generous(X)&curious(X))))&
(((kind(fred)<~>~kind(fred)))<=>((~wise(lucy)&~strong(luc... | tall(fred) | [
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7271924537375932053229996
% SZS output start Proof for 7271924537375932053229996
5. ? [X0] : tall(X0) <=> generous(fred) [input p4]
6. ! [X0] : (calm(X0) <=> (curious(X0) & ~generous(X0))) [input p5]
9. ! [X0] : ((~generous(X0) | ~calm(X0)) <=> (tall(X0) <~> generous(X0))) [input p8]
24. ... | 0 |
If someone is humble then mary is not humble. Everyone who is not creative is either kind or not wise. Everyone who is not wise or not quiet is strong. If someone is not curious or humble then mary is strong and vice versa. Everyone who is generous or strong is not kind and vice versa. If someone is generous then paul ... | Fred is quiet. | contradiction | ((?[X]:(humble(X)))=>(~humble(mary)))&
(![X]:(~creative(X)=>(kind(X)<~>~wise(X))))&
(![X]:((~wise(X)|~quiet(X))=>strong(X)))&
((?[X]:((~curious(X)|humble(X))))<=>(strong(mary)))&
(![X]:((generous(X)|strong(X))<=>~kind(X)))&
((?[X]:(generous(X)))<=>((~funny(paul)<~>calm(paul))))&
(![X]:((old(X)<~>~happy(X))<=>(creative(... | quiet(fred) | [
"p8",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 405796279386404030494761
% SZS output start Proof for 405796279386404030494761
9. ? [X0] : (old(X0) & ~old(X0)) <=> ? [X0] : (~curious(X0) | funny(X0)) [input p8]
15. ! [X0] : ((~old(X0) & curious(X0)) => (~quiet(X0) & ~tall(X0))) [input p14]
20. ~old(fred) [input p19]
23. quiet(fred) [in... | 0 |
Everyone who is not humble is quiet or curious and vice versa.
If lucy is either tall or not kind then lucy is either not old or not kind and vice versa.
Everyone who is not rich or not brave is either brave or not tall.
Everyone who is both tall and not funny is either creative or not wise.
Everyone who is either not ... | Paul is not curious. | contradiction | (![X]:(~humble(X)<=>(quiet(X)|curious(X))))&
(((tall(lucy)<~>~kind(lucy)))<=>((~old(lucy)<~>~kind(lucy))))&
(![X]:((~rich(X)|~brave(X))=>(brave(X)<~>~tall(X))))&
(![X]:((tall(X)&~funny(X))=>(creative(X)<~>~wise(X))))&
(![X]:((~rich(X)<~>generous(X))=>rich(X)))&
(((~kind(paul)&funny(paul)))=>(?[X]:((creative(X)|~patient... | ~curious(paul) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7489766018600236680179794
% SZS output start Proof for 7489766018600236680179794
11. ! [X0] : (~generous(X0) <=> (generous(X0) & ~kind(X0))) [input p10]
14. ! [X0] : (~kind(X0) <=> ~curious(X0)) [input p13]
23. ~curious(paul) [input hypothesis]
53. ! [X0] : ((~generous(X0) | (~generous(X0... | 0 |
Everyone who is either not kind or happy is both tall and creative. Everyone who is both not kind and curious is wise or patient. If someone is not brave or rich then alice is not brave or not rich. If someone is tall then someone is creative. If fred is both not generous and not brave then someone is either humble or ... | Lucy is not happy. | contradiction | (![X]:((~kind(X)<~>happy(X))=>(tall(X)&creative(X))))&
(![X]:((~kind(X)&curious(X))=>(wise(X)|patient(X))))&
((?[X]:((~brave(X)|rich(X))))=>((~brave(alice)|~rich(alice))))&
((?[X]:(tall(X)))=>(?[X]:(creative(X))))&
(((~generous(fred)&~brave(fred)))<=>(?[X]:((humble(X)<~>~creative(X)))))&
(((~brave(paul)<~>~rich(paul)))... | ~happy(lucy) | [
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3396361154468472066333374
% SZS output start Proof for 3396361154468472066333374
8. ! [X0] : ((creative(X0) | kind(X0)) => (~rich(X0) & happy(X0))) [input p7]
17. ~creative(lucy) <~> ~happy(lucy) [input p16]
22. ~happy(lucy) [input hypothesis]
36. ! [X0] : ((~rich(X0) & happy(X0)) | (~cre... | 0 |
Everyone who is tall or rich is strong. Everyone who is calm is both not brave and not humble. Everyone who is not tall or not curious is either brave or not kind. If paul is either not wise or not strong then mary is both old and not rich and vice versa. Everyone who is not kind or tall is either not brave or calm. If... | John is patient. | contradiction | (![X]:((tall(X)|rich(X))=>strong(X)))&
(![X]:(calm(X)=>(~brave(X)&~humble(X))))&
(![X]:((~tall(X)|~curious(X))=>(brave(X)<~>~kind(X))))&
(((~wise(paul)<~>~strong(paul)))<=>((old(mary)&~rich(mary))))&
(![X]:((~kind(X)|tall(X))=>(~brave(X)<~>calm(X))))&
(((~kind(john)<~>~brave(john)))=>(old(lucy)))&
(![X]:((~strong(X)|ge... | patient(john) | [
"p1",
"p2",
"p4",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2025873630420315036951136
% SZS output start Proof for 2025873630420315036951136
2. ! [X0] : (calm(X0) => (~humble(X0) & ~brave(X0))) [input p1]
3. ! [X0] : ((~curious(X0) | ~tall(X0)) => (brave(X0) <~> ~kind(X0))) [input p2]
5. ! [X0] : ((tall(X0) | ~kind(X0)) => (~brave(X0) <~> calm(X0)... | 0 |
If someone is brave then mary is not funny or not rich and vice versa.
Everyone who is brave or rich is happy or quiet and vice versa.
If someone is both not humble and not generous then someone is either not creative or kind.
If someone is not wise or generous then someone is not generous or not curious and vice versa... | Alice is kind. | neutral | ((?[X]:(brave(X)))<=>((~funny(mary)|~rich(mary))))&
(![X]:((brave(X)|rich(X))<=>(happy(X)|quiet(X))))&
((?[X]:((~humble(X)&~generous(X))))=>(?[X]:((~creative(X)<~>kind(X)))))&
((?[X]:((~wise(X)|generous(X))))<=>(?[X]:((~generous(X)|~curious(X)))))&
(![X]:(tall(X)<=>(tall(X)|~tall(X))))&
(((happy(susan)|~tall(susan)))<=... | kind(alice) | [] | null | 0 |
If susan is either funny or humble then john is not kind or wise and vice versa.
Everyone who is rich or not humble is not calm and vice versa.
Everyone who is not quiet is not funny or not kind.
If someone is either calm or not happy then alice is happy or not humble and vice versa.
Everyone who is either not strong o... | John is calm. | contradiction | (((funny(susan)<~>humble(susan)))<=>((~kind(john)|wise(john))))&
(![X]:((rich(X)|~humble(X))<=>~calm(X)))&
(![X]:(~quiet(X)=>(~funny(X)|~kind(X))))&
((?[X]:((calm(X)<~>~happy(X))))<=>((happy(alice)|~humble(alice))))&
(![X]:((~strong(X)<~>~quiet(X))=>(~brave(X)&strong(X))))&
(((~rich(alice)<~>~humble(alice)))=>(?[X]:((~... | calm(john) | [
"p4",
"p9",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 753157539023785552683416
% SZS output start Proof for 753157539023785552683416
5. ! [X0] : ((~strong(X0) <~> ~quiet(X0)) => (strong(X0) & ~brave(X0))) [input p4]
10. ! [X0] : ((happy(X0) <~> ~calm(X0)) <=> (tall(X0) | ~creative(X0))) [input p9]
18. strong(john) <~> happy(john) [input p17]... | 0 |
Everyone who is both strong and creative is both brave and not happy and vice versa. Everyone who is patient is both curious and calm. If someone is both not strong and not brave then alice is either not happy or calm. If fred is either rich or calm then mary is either not brave or calm. Everyone who is both curious an... | Mary is humble. | neutral | (![X]:((strong(X)&creative(X))<=>(brave(X)&~happy(X))))&
(![X]:(patient(X)=>(curious(X)&calm(X))))&
((?[X]:((~strong(X)&~brave(X))))=>((~happy(alice)<~>calm(alice))))&
(((rich(fred)<~>calm(fred)))=>((~brave(mary)<~>calm(mary))))&
(![X]:((curious(X)&creative(X))<=>~generous(X)))&
(![X]:((tall(X)&wise(X))=>(~happy(X)&~cr... | humble(mary) | [] | null | 0 |
If someone is both not rich and happy then john is either not humble or not patient and vice versa.
Everyone who is both wise and not strong is quiet.
If lucy is either not quiet or curious then alice is either brave or old and vice versa.
Everyone who is humble or creative is both patient and not kind and vice versa.
... | Fred is rich. | entailment | ((?[X]:((~rich(X)&happy(X))))<=>((~humble(john)<~>~patient(john))))&
(![X]:((wise(X)&~strong(X))=>quiet(X)))&
(((~quiet(lucy)<~>curious(lucy)))<=>((brave(alice)<~>old(alice))))&
(![X]:((humble(X)|creative(X))<=>(patient(X)&~kind(X))))&
((~wise(alice))<=>(?[X]:(wise(X))))&
(![X]:(~kind(X)<=>(happy(X)<~>~calm(X))))&
(![X... | rich(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 793925814264195279547674
% SZS output start Proof for 793925814264195279547674
12. ! [X0] : ((~brave(X0) | ~rich(X0)) <=> (~kind(X0) & kind(X0))) [input p11]
20. ~rich(fred) [input hypothesis]
51. ! [X0] : (((~brave(X0) | ~rich(X0)) | (kind(X0) | ~kind(X0))) & ((~kind(X0) & kind(X0)) | (b... | 0 |
Everyone who is not calm is both not curious and curious.
Everyone who is strong or not patient is either not creative or humble and vice versa.
Everyone who is not generous is either not calm or not brave and vice versa.
Everyone who is either not rich or not old is not funny.
Everyone who is not happy or not curious ... | Paul is not quiet. | contradiction | (![X]:(~calm(X)=>(~curious(X)&curious(X))))&
(![X]:((strong(X)|~patient(X))<=>(~creative(X)<~>humble(X))))&
(![X]:(~generous(X)<=>(~calm(X)<~>~brave(X))))&
(![X]:((~rich(X)<~>~old(X))=>~funny(X)))&
(![X]:((~happy(X)|~curious(X))<=>(quiet(X)&~kind(X))))&
((?[X]:((~kind(X)&humble(X))))<=>(?[X]:((~strong(X)&~patient(X))))... | ~quiet(paul) | [
"p0",
"p2",
"p7",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2400304876927250339734308
% SZS output start Proof for 2400304876927250339734308
1. ! [X0] : (~calm(X0) => (curious(X0) & ~curious(X0))) [input p0]
3. ! [X0] : (~generous(X0) <=> (~calm(X0) <~> ~brave(X0))) [input p2]
8. ! [X0] : ((kind(X0) <~> quiet(X0)) <=> ~humble(X0)) [input p7]
12. ?... | 0 |
If alice is both happy and old then someone is not calm and vice versa. Everyone who is either not brave or quiet is both happy and not creative. If mary is either not kind or old then john is not brave and vice versa. Everyone who is calm or not creative is both not funny and not humble and vice versa. Everyone who is... | Mary is not calm. | neutral | (((happy(alice)&old(alice)))<=>(?[X]:(~calm(X))))&
(![X]:((~brave(X)<~>quiet(X))=>(happy(X)&~creative(X))))&
(((~kind(mary)<~>old(mary)))<=>(~brave(john)))&
(![X]:((calm(X)|~creative(X))<=>(~funny(X)&~humble(X))))&
(![X]:((old(X)&~curious(X))=>(~quiet(X)|~wise(X))))&
(![X]:((humble(X)&generous(X))=>(calm(X)&~funny(X)))... | ~calm(mary) | [] | null | 0 |
If someone is both strong and patient then alice is either not wise or wise.
If someone is either calm or happy then mary is either not kind or kind.
If paul is not wise then someone is not brave or not strong and vice versa.
If lucy is either humble or curious then someone is either not calm or creative.
If someone is... | Susan is not tall. | contradiction | ((?[X]:((strong(X)&patient(X))))=>((~wise(alice)<~>wise(alice))))&
((?[X]:((calm(X)<~>happy(X))))=>((~kind(mary)<~>kind(mary))))&
((~wise(paul))<=>(?[X]:((~brave(X)|~strong(X)))))&
(((humble(lucy)<~>curious(lucy)))=>(?[X]:((~calm(X)<~>creative(X)))))&
((?[X]:((~brave(X)<~>calm(X))))=>(~calm(fred)))&
((?[X]:((tall(X)&~c... | ~tall(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9084392868121826507559565
% SZS output start Proof for 9084392868121826507559565
14. ! [X0] : ((~tall(X0) | ~curious(X0)) => tall(X0)) [input p13]
23. ~tall(susan) [input hypothesis]
33. ! [X0] : (tall(X0) | (tall(X0) & curious(X0))) [ennf transformation 14]
122. tall(X0) | tall(X0) [cnf ... | 0 |
If someone is not brave then susan is either not tall or not quiet.
Everyone who is not brave or not patient is not generous.
Everyone who is not brave is funny or not wise.
If john is not funny then someone is curious or not brave and vice versa.
Everyone who is both kind and not wise is brave or tall and vice versa.
... | Lucy is happy. | neutral | ((?[X]:(~brave(X)))=>((~tall(susan)<~>~quiet(susan))))&
(![X]:((~brave(X)|~patient(X))=>~generous(X)))&
(![X]:(~brave(X)=>(funny(X)|~wise(X))))&
((~funny(john))<=>(?[X]:((curious(X)|~brave(X)))))&
(![X]:((kind(X)&~wise(X))<=>(brave(X)|tall(X))))&
(![X]:((old(X)&~old(X))<=>(~quiet(X)<~>~generous(X))))&
(![X]:((happy(X)&... | happy(lucy) | [] | null | 0 |
If john is both not generous and not rich then fred is not calm or kind and vice versa. Everyone who is either not creative or creative is both brave and funny and vice versa. Everyone who is not brave or not strong is wise or not creative. Everyone who is either not quiet or not brave is wise and vice versa. Everyone ... | Paul is not strong. | entailment | (((~generous(john)&~rich(john)))<=>((~calm(fred)|kind(fred))))&
(![X]:((~creative(X)<~>creative(X))<=>(brave(X)&funny(X))))&
(![X]:((~brave(X)|~strong(X))=>(wise(X)|~creative(X))))&
(![X]:((~quiet(X)<~>~brave(X))<=>wise(X)))&
(![X]:(~kind(X)<=>(calm(X)<~>~calm(X))))&
(![X]:((curious(X)|strong(X))<=>(~funny(X)|~kind(X))... | ~strong(paul) | [
"p1",
"p4",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3797167441814289614348709
% SZS output start Proof for 3797167441814289614348709
2. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> (funny(X0) & brave(X0))) [input p1]
5. ! [X0] : (~kind(X0) <=> (calm(X0) <~> ~calm(X0))) [input p4]
9. ! [X0] : ((happy(X0) & ~tall(X0)) <=> ~kind(X0)) [input... | 0 |
If someone is both tall and not curious then someone is kind or old. Everyone who is not old is calm and vice versa. Everyone who is not curious or creative is both not calm and quiet. If someone is quiet or kind then mary is not happy. If alice is either not curious or quiet then mary is not patient or not happy. If l... | Paul is not happy. | contradiction | ((?[X]:((tall(X)&~curious(X))))=>(?[X]:((kind(X)|old(X)))))&
(![X]:(~old(X)<=>calm(X)))&
(![X]:((~curious(X)|creative(X))=>(~calm(X)&quiet(X))))&
((?[X]:((quiet(X)|kind(X))))=>(~happy(mary)))&
(((~curious(alice)<~>quiet(alice)))=>((~patient(mary)|~happy(mary))))&
((~strong(lucy))=>(?[X]:((happy(X)|~funny(X)))))&
(![X]:... | ~happy(paul) | [
"p2",
"p7",
"p9",
"p11",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 561781195951533826590495
% SZS output start Proof for 561781195951533826590495
3. ! [X0] : ((creative(X0) | ~curious(X0)) => (quiet(X0) & ~calm(X0))) [input p2]
8. ? [X0] : (~happy(X0) & ~creative(X0)) <=> ~wise(lucy) [input p7]
10. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> (~tall(X0) | ~... | 0 |
If someone is rich then someone is not humble or not generous.
Everyone who is both strong and curious is either strong or quiet.
Everyone who is not generous is wise and vice versa.
If someone is curious or funny then paul is kind.
If someone is not happy or kind then susan is both kind and curious.
If someone is not ... | Mary is not rich. | entailment | ((?[X]:(rich(X)))=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((strong(X)&curious(X))=>(strong(X)<~>quiet(X))))&
(![X]:(~generous(X)<=>wise(X)))&
((?[X]:((curious(X)|funny(X))))=>(kind(paul)))&
((?[X]:((~happy(X)|kind(X))))=>((kind(susan)&curious(susan))))&
((?[X]:(~brave(X)))=>(?[X]:((brave(X)|old(X)))))&
(![X]:((~str... | ~rich(mary) | [
"p2",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7347623650642257079404960
% SZS output start Proof for 7347623650642257079404960
3. ! [X0] : (~generous(X0) <=> wise(X0)) [input p2]
8. ! [X0] : ((old(X0) | ~wise(X0)) <=> (generous(X0) | ~wise(X0))) [input p7]
13. ! [X0] : ((old(X0) & wise(X0)) <=> (rich(X0) | calm(X0))) [input p12]
23. ... | 0 |
If alice is calm or wise then someone is both curious and not kind and vice versa.
Everyone who is not calm is not quiet.
Everyone who is either not curious or not tall is either not creative or curious and vice versa.
If someone is either patient or curious then paul is not strong or not wise.
Everyone who is either n... | Alice is not old. | entailment | (((calm(alice)|wise(alice)))<=>(?[X]:((curious(X)&~kind(X)))))&
(![X]:(~calm(X)=>~quiet(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~creative(X)<~>curious(X))))&
((?[X]:((patient(X)<~>curious(X))))=>((~strong(paul)|~wise(paul))))&
(![X]:((~curious(X)<~>brave(X))=>tall(X)))&
(![X]:((~rich(X)&quiet(X))=>(~brave(X)|wise(X)))... | ~old(alice) | [
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2525150948017771479846364
% SZS output start Proof for 2525150948017771479846364
12. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (old(X0) | curious(X0))) [input p11]
22. wise(alice) [input p21]
24. old(alice) [input hypothesis]
57. ! [X0] : (((~wise(X0) & ~kind(X0)) | (~old(X0) & ~curious(X0)))... | 0 |
Everyone who is either not old or quiet is curious or not wise.
Everyone who is not happy is not old or not creative.
If lucy is calm or wise then paul is either not wise or not brave and vice versa.
If lucy is either humble or happy then susan is not rich or creative.
If susan is not calm or not generous then someone ... | Paul is wise. | contradiction | (![X]:((~old(X)<~>quiet(X))=>(curious(X)|~wise(X))))&
(![X]:(~happy(X)=>(~old(X)|~creative(X))))&
(((calm(lucy)|wise(lucy)))<=>((~wise(paul)<~>~brave(paul))))&
(((humble(lucy)<~>happy(lucy)))=>((~rich(susan)|creative(susan))))&
(((~calm(susan)|~generous(susan)))<=>(?[X]:((generous(X)&quiet(X)))))&
(![X]:(~rich(X)<=>(~g... | wise(paul) | [
"p2",
"p7",
"p10",
"p12",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1049658004055013310743982
% SZS output start Proof for 1049658004055013310743982
3. (wise(lucy) | calm(lucy)) <=> (~wise(paul) <~> ~brave(paul)) [input p2]
8. ! [X0] : ((generous(X0) & brave(X0)) <=> ~calm(X0)) [input p7]
11. ! [X0] : (~strong(X0) <=> (~generous(X0) | creative(X0))) [inpu... | 0 |
Everyone who is not tall or happy is kind and vice versa.
If fred is not funny or strong then fred is both not brave and not quiet.
Everyone who is either patient or funny is both curious and humble.
If susan is both quiet and tall then lucy is not rich.
Everyone who is both creative and not tall is not quiet or not ge... | Paul is not tall. | neutral | (![X]:((~tall(X)|happy(X))<=>kind(X)))&
(((~funny(fred)|strong(fred)))=>((~brave(fred)&~quiet(fred))))&
(![X]:((patient(X)<~>funny(X))=>(curious(X)&humble(X))))&
(((quiet(susan)&tall(susan)))=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?... | ~tall(paul) | [] | null | 0 |
If paul is both not curious and not rich then paul is not happy and vice versa.
If fred is both not old and humble then someone is either happy or not happy and vice versa.
Everyone who is not quiet or wise is kind or not curious and vice versa.
Everyone who is not calm or not patient is not old and vice versa.
Everyon... | Susan is humble. | neutral | (((~curious(paul)&~rich(paul)))<=>(~happy(paul)))&
(((~old(fred)&humble(fred)))<=>(?[X]:((happy(X)<~>~happy(X)))))&
(![X]:((~quiet(X)|wise(X))<=>(kind(X)|~curious(X))))&
(![X]:((~calm(X)|~patient(X))<=>~old(X)))&
(![X]:(~quiet(X)=>(rich(X)<~>~brave(X))))&
(![X]:((~rich(X)|wise(X))<=>(generous(X)|~curious(X))))&
(![X]:(... | humble(susan) | [] | null | 0 |
If someone is either humble or not old then paul is both kind and wise.
If john is not curious then fred is not funny.
Everyone who is not calm is either not patient or wise and vice versa.
If someone is wise then mary is either not creative or not happy and vice versa.
Everyone who is not funny is both not strong and ... | John is not kind. | entailment | ((?[X]:((humble(X)<~>~old(X))))=>((kind(paul)&wise(paul))))&
((~curious(john))=>(~funny(fred)))&
(![X]:(~calm(X)<=>(~patient(X)<~>wise(X))))&
((?[X]:(wise(X)))<=>((~creative(mary)<~>~happy(mary))))&
(![X]:(~funny(X)<=>(~strong(X)&funny(X))))&
((patient(fred))<=>(calm(mary)))&
(![X]:((old(X)<~>~calm(X))<=>(~curious(X)<~... | ~kind(john) | [
"p1",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 800343730750012083587404
% SZS output start Proof for 800343730750012083587404
2. ~curious(john) => ~funny(fred) [input p1]
5. ! [X0] : (~funny(X0) <=> (funny(X0) & ~strong(X0))) [input p4]
9. ! [X0] : ((~curious(X0) <~> ~kind(X0)) <=> funny(X0)) [input p8]
22. kind(john) [input hypothesi... | 0 |
Everyone who is not tall is both happy and not happy.
Everyone who is both generous and not creative is rich.
Everyone who is either creative or humble is not calm or not old.
Everyone who is curious is either funny or quiet.
Everyone who is patient is humble or happy and vice versa.
If someone is either brave or funny... | Alice is not humble. | contradiction | (![X]:(~tall(X)=>(happy(X)&~happy(X))))&
(![X]:((generous(X)&~creative(X))=>rich(X)))&
(![X]:((creative(X)<~>humble(X))=>(~calm(X)|~old(X))))&
(![X]:(curious(X)=>(funny(X)<~>quiet(X))))&
(![X]:(patient(X)<=>(humble(X)|happy(X))))&
((?[X]:((brave(X)<~>funny(X))))=>(?[X]:((~strong(X)|~patient(X)))))&
(![X]:((~brave(X)<~>... | ~humble(alice) | [
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2900057257484506291125846
% SZS output start Proof for 2900057257484506291125846
7. ! [X0] : ((~brave(X0) <~> wise(X0)) <=> (~humble(X0) | ~strong(X0))) [input p6]
9. ! [X0] : ((~wise(X0) | ~creative(X0)) => (~quiet(X0) & brave(X0))) [input p8]
11. ? [X0] : (brave(X0) | ~strong(X0)) <=> ?... | 0 |
Everyone who is not generous or not tall is either not kind or wise. Everyone who is both not humble and not quiet is kind and vice versa. If someone is either wise or brave then lucy is calm or not calm. Everyone who is either funny or not happy is not kind and vice versa. Everyone who is wise or not rich is curious. ... | Lucy is not tall. | neutral | (![X]:((~generous(X)|~tall(X))=>(~kind(X)<~>wise(X))))&
(![X]:((~humble(X)&~quiet(X))<=>kind(X)))&
((?[X]:((wise(X)<~>brave(X))))=>((calm(lucy)|~calm(lucy))))&
(![X]:((funny(X)<~>~happy(X))<=>~kind(X)))&
(![X]:((wise(X)|~rich(X))=>curious(X)))&
(![X]:((creative(X)<~>patient(X))<=>(curious(X)&~tall(X))))&
(![X]:((genero... | ~tall(lucy) | [] | null | 0 |
Everyone who is not old is not tall or calm and vice versa.
If fred is either not generous or tall then someone is not creative.
Everyone who is either not kind or funny is not funny.
Everyone who is not patient or old is not brave or quiet and vice versa.
If someone is creative or generous then someone is either not s... | Susan is brave. | entailment | (![X]:(~old(X)<=>(~tall(X)|calm(X))))&
(((~generous(fred)<~>tall(fred)))=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)<~>funny(X))=>~funny(X)))&
(![X]:((~patient(X)|old(X))<=>(~brave(X)|quiet(X))))&
((?[X]:((creative(X)|generous(X))))<=>(?[X]:((~strong(X)<~>~creative(X)))))&
(![X]:((~happy(X)|~curious(X))<=>(generous(X)<~>... | brave(susan) | [
"p0",
"p3",
"p5",
"p6",
"p7",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2239152575933934844755727
% SZS output start Proof for 2239152575933934844755727
1. ! [X0] : (~old(X0) <=> (calm(X0) | ~tall(X0))) [input p0]
4. ! [X0] : ((old(X0) | ~patient(X0)) <=> (quiet(X0) | ~brave(X0))) [input p3]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> (generous(X0) <~> ~old(... | 0 |
If john is humble or rich then someone is brave. Everyone who is both funny and kind is not old or not tall and vice versa. If alice is both not strong and not curious then john is either not rich or patient and vice versa. Everyone who is not rich or not humble is wise or humble. If someone is both tall and calm then ... | Susan is old. | neutral | (((humble(john)|rich(john)))=>(?[X]:(brave(X))))&
(![X]:((funny(X)&kind(X))<=>(~old(X)|~tall(X))))&
(((~strong(alice)&~curious(alice)))<=>((~rich(john)<~>patient(john))))&
(![X]:((~rich(X)|~humble(X))=>(wise(X)|humble(X))))&
((?[X]:((tall(X)&calm(X))))=>(?[X]:((~calm(X)|happy(X)))))&
((?[X]:((funny(X)|~rich(X))))<=>(?[... | old(susan) | [] | null | 0 |
Everyone who is either happy or rich is either strong or not calm and vice versa.
If someone is either happy or not patient then someone is humble or quiet.
If someone is not kind or curious then someone is both calm and not wise.
Everyone who is humble or tall is either strong or old and vice versa.
Everyone who is bo... | Paul is strong. | contradiction | (![X]:((happy(X)<~>rich(X))<=>(strong(X)<~>~calm(X))))&
((?[X]:((happy(X)<~>~patient(X))))=>(?[X]:((humble(X)|quiet(X)))))&
((?[X]:((~kind(X)|curious(X))))=>(?[X]:((calm(X)&~wise(X)))))&
(![X]:((humble(X)|tall(X))<=>(strong(X)<~>old(X))))&
(![X]:((~strong(X)&~creative(X))=>(~curious(X)|~generous(X))))&
((?[X]:((~brave(... | strong(paul) | [
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7684046807347252918765272
% SZS output start Proof for 7684046807347252918765272
15. ! [X0] : ((~strong(X0) & generous(X0)) <=> ~old(X0)) [input p14]
16. ! [X0] : (~old(X0) <=> (strong(X0) | rich(X0))) [input p15]
24. strong(paul) [input hypothesis]
65. ! [X0] : (((~strong(X0) & generous(... | 0 |
If someone is curious then lucy is kind or not generous and vice versa.
If mary is either creative or old then paul is both not curious and patient and vice versa.
If someone is either not quiet or creative then john is both creative and not generous.
Everyone who is calm or rich is creative or quiet and vice versa.
If... | Lucy is not generous. | neutral | ((?[X]:(curious(X)))<=>((kind(lucy)|~generous(lucy))))&
(((creative(mary)<~>old(mary)))<=>((~curious(paul)&patient(paul))))&
((?[X]:((~quiet(X)<~>creative(X))))=>((creative(john)&~generous(john))))&
(![X]:((calm(X)|rich(X))<=>(creative(X)|quiet(X))))&
((?[X]:((~strong(X)<~>~tall(X))))=>(?[X]:((calm(X)|wise(X)))))&
((?[... | ~generous(lucy) | [] | null | 0 |
If someone is either generous or calm then john is calm or not kind.
Everyone who is either not funny or creative is not generous and vice versa.
Everyone who is both tall and not rich is old and vice versa.
Everyone who is not wise is both rich and not quiet and vice versa.
Everyone who is both patient and happy is bo... | Paul is funny. | entailment | ((?[X]:((generous(X)<~>calm(X))))=>((calm(john)|~kind(john))))&
(![X]:((~funny(X)<~>creative(X))<=>~generous(X)))&
(![X]:((tall(X)&~rich(X))<=>old(X)))&
(![X]:(~wise(X)<=>(rich(X)&~quiet(X))))&
(![X]:((patient(X)&happy(X))=>(tall(X)&happy(X))))&
(![X]:(generous(X)<=>(~generous(X)|quiet(X))))&
((?[X]:((strong(X)<~>~gene... | funny(paul) | [
"p1",
"p5",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4983359189246172593168602
% SZS output start Proof for 4983359189246172593168602
2. ! [X0] : ((~funny(X0) <~> creative(X0)) <=> ~generous(X0)) [input p1]
6. ! [X0] : (generous(X0) <=> (quiet(X0) | ~generous(X0))) [input p5]
11. ? [X0] : (~generous(X0) & old(X0)) <=> (~creative(paul) <~> ~... | 0 |
Everyone who is calm or not humble is generous or rich and vice versa.
If paul is not curious or strong then fred is either patient or wise.
If someone is humble then alice is not brave and vice versa.
If someone is both not patient and wise then someone is both not tall and not happy and vice versa.
If alice is humble... | Susan is patient. | entailment | (![X]:((calm(X)|~humble(X))<=>(generous(X)|rich(X))))&
(((~curious(paul)|strong(paul)))=>((patient(fred)<~>wise(fred))))&
((?[X]:(humble(X)))<=>(~brave(alice)))&
((?[X]:((~patient(X)&wise(X))))<=>(?[X]:((~tall(X)&~happy(X)))))&
((humble(alice))<=>((~humble(paul)&kind(paul))))&
(![X]:((~humble(X)<~>patient(X))<=>~genero... | patient(susan) | [
"p0",
"p3",
"p5",
"p6",
"p9",
"p10",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1316426768110220820677177
% SZS output start Proof for 1316426768110220820677177
1. ! [X0] : ((~humble(X0) | calm(X0)) <=> (rich(X0) | generous(X0))) [input p0]
4. ? [X0] : (wise(X0) & ~patient(X0)) <=> ? [X0] : (~happy(X0) & ~tall(X0)) [input p3]
6. ! [X0] : ((~humble(X0) <~> patient(X0)... | 0 |
If someone is both curious and patient then john is patient and vice versa. Everyone who is both not wise and old is not humble and vice versa. If john is both not patient and not wise then john is either not kind or not calm. Everyone who is both not calm and patient is strong and vice versa. If susan is not kind or r... | John is not calm. | contradiction | ((?[X]:((curious(X)&patient(X))))<=>(patient(john)))&
(![X]:((~wise(X)&old(X))<=>~humble(X)))&
(((~patient(john)&~wise(john)))=>((~kind(john)<~>~calm(john))))&
(![X]:((~calm(X)&patient(X))<=>strong(X)))&
(((~kind(susan)|rich(susan)))=>((~creative(lucy)&calm(lucy))))&
(![X]:((~creative(X)&~quiet(X))=>calm(X)))&
(![X]:(r... | ~calm(john) | [
"p1",
"p2",
"p7",
"p13",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8810606401291447309245135
% SZS output start Proof for 8810606401291447309245135
2. ! [X0] : ((old(X0) & ~wise(X0)) <=> ~humble(X0)) [input p1]
3. (~wise(john) & ~patient(john)) => (~kind(john) <~> ~calm(john)) [input p2]
8. ! [X0] : (humble(X0) => (calm(X0) & funny(X0))) [input p7]
14. !... | 0 |
If someone is funny then someone is both happy and not creative. If alice is generous or not patient then someone is humble. Everyone who is generous or wise is not patient or not calm and vice versa. Everyone who is either creative or quiet is quiet or not brave. If someone is either patient or wise then someone is no... | Alice is calm. | neutral | ((?[X]:(funny(X)))=>(?[X]:((happy(X)&~creative(X)))))&
(((generous(alice)|~patient(alice)))=>(?[X]:(humble(X))))&
(![X]:((generous(X)|wise(X))<=>(~patient(X)|~calm(X))))&
(![X]:((creative(X)<~>quiet(X))=>(quiet(X)|~brave(X))))&
((?[X]:((patient(X)<~>wise(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(((patient(alice)<~>~quiet(... | calm(alice) | [] | null | 0 |
Everyone who is not creative or not wise is both curious and quiet and vice versa.
Everyone who is both not brave and not generous is not rich or wise.
Everyone who is both patient and brave is not creative or not quiet.
If someone is either not wise or humble then alice is not creative and vice versa.
If someone is cu... | Mary is not strong. | contradiction | (![X]:((~creative(X)|~wise(X))<=>(curious(X)&quiet(X))))&
(![X]:((~brave(X)&~generous(X))=>(~rich(X)|wise(X))))&
(![X]:((patient(X)&brave(X))=>(~creative(X)|~quiet(X))))&
((?[X]:((~wise(X)<~>humble(X))))<=>(~creative(alice)))&
((?[X]:(curious(X)))=>((creative(mary)&~tall(mary))))&
(![X]:(quiet(X)=>(happy(X)&curious(X))... | ~strong(mary) | [
"p4",
"p5",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7925479381216163219957042
% SZS output start Proof for 7925479381216163219957042
5. ? [X0] : curious(X0) => (~tall(mary) & creative(mary)) [input p4]
6. ! [X0] : (quiet(X0) => (curious(X0) & happy(X0))) [input p5]
12. ! [X0] : ((tall(X0) & quiet(X0)) <=> (~brave(X0) | ~humble(X0))) [input... | 0 |
If john is not calm then susan is rich or wise. Everyone who is generous is either not humble or not old. Everyone who is either not patient or not wise is brave or not calm and vice versa. Everyone who is either not quiet or generous is not happy and vice versa. Everyone who is both not kind and curious is both brave ... | John is not funny. | neutral | ((~calm(john))=>((rich(susan)|wise(susan))))&
(![X]:(generous(X)=>(~humble(X)<~>~old(X))))&
(![X]:((~patient(X)<~>~wise(X))<=>(brave(X)|~calm(X))))&
(![X]:((~quiet(X)<~>generous(X))<=>~happy(X)))&
(![X]:((~kind(X)&curious(X))<=>(brave(X)&~calm(X))))&
(((tall(paul)&rich(paul)))=>((~old(susan)<~>humble(susan))))&
(((brav... | ~funny(john) | [] | null | 0 |
Everyone who is not quiet or generous is both quiet and calm and vice versa.
If fred is not brave then lucy is strong.
Everyone who is both wise and tall is calm.
If someone is either funny or kind then lucy is not brave and vice versa.
If someone is either rich or kind then paul is both not quiet and not tall.
If susa... | John is quiet. | entailment | (![X]:((~quiet(X)|generous(X))<=>(quiet(X)&calm(X))))&
((~brave(fred))=>(strong(lucy)))&
(![X]:((wise(X)&tall(X))=>calm(X)))&
((?[X]:((funny(X)<~>kind(X))))<=>(~brave(lucy)))&
((?[X]:((rich(X)<~>kind(X))))=>((~quiet(paul)&~tall(paul))))&
(((~curious(susan)<~>brave(susan)))=>(?[X]:((~generous(X)<~>~wise(X)))))&
(![X]:((... | quiet(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4579681634073773941493924
% SZS output start Proof for 4579681634073773941493924
1. ! [X0] : ((generous(X0) | ~quiet(X0)) <=> (calm(X0) & quiet(X0))) [input p0]
23. ~quiet(john) [input hypothesis]
37. ! [X0] : (((generous(X0) | ~quiet(X0)) | (~calm(X0) | ~quiet(X0))) & ((calm(X0) & quiet(... | 0 |
Everyone who is not creative or funny is not funny and vice versa.
If someone is not calm then susan is not rich or not brave.
Everyone who is not patient or quiet is not funny and vice versa.
If someone is creative or patient then lucy is either quiet or curious.
If mary is either not patient or not quiet then lucy is... | Mary is tall. | contradiction | (![X]:((~creative(X)|funny(X))<=>~funny(X)))&
((?[X]:(~calm(X)))=>((~rich(susan)|~brave(susan))))&
(![X]:((~patient(X)|quiet(X))<=>~funny(X)))&
((?[X]:((creative(X)|patient(X))))=>((quiet(lucy)<~>curious(lucy))))&
(((~patient(mary)<~>~quiet(mary)))<=>((~funny(lucy)&~patient(lucy))))&
((wise(mary))<=>((~quiet(paul)<~>wi... | tall(mary) | [
"p0",
"p3",
"p6",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3358701111110397964934843
% SZS output start Proof for 3358701111110397964934843
1. ! [X0] : ((funny(X0) | ~creative(X0)) <=> ~funny(X0)) [input p0]
4. ? [X0] : (patient(X0) | creative(X0)) => (quiet(lucy) <~> curious(lucy)) [input p3]
7. ? [X0] : (quiet(X0) | calm(X0)) => ~tall(mary) [in... | 0 |
Everyone who is not rich or kind is patient.
Everyone who is either quiet or not generous is rich and vice versa.
If mary is either not calm or generous then someone is humble or not humble and vice versa.
Everyone who is tall is both happy and not curious and vice versa.
Everyone who is generous or not strong is brave... | Fred is patient. | entailment | (![X]:((~rich(X)|kind(X))=>patient(X)))&
(![X]:((quiet(X)<~>~generous(X))<=>rich(X)))&
(((~calm(mary)<~>generous(mary)))<=>(?[X]:((humble(X)|~humble(X)))))&
(![X]:(tall(X)<=>(happy(X)&~curious(X))))&
(![X]:((generous(X)|~strong(X))=>brave(X)))&
(![X]:(~quiet(X)<=>kind(X)))&
(![X]:((happy(X)&~humble(X))<=>(old(X)|~funny... | patient(fred) | [
"p0",
"p1",
"p5",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2452746903781233109763350
% SZS output start Proof for 2452746903781233109763350
1. ! [X0] : ((kind(X0) | ~rich(X0)) => patient(X0)) [input p0]
2. ! [X0] : ((quiet(X0) <~> ~generous(X0)) <=> rich(X0)) [input p1]
6. ! [X0] : (~quiet(X0) <=> kind(X0)) [input p5]
15. (~quiet(fred) & patient(... | 0 |
If someone is either quiet or tall then fred is not brave or not happy and vice versa.
Everyone who is not generous is not happy or strong.
Everyone who is both humble and not patient is not tall and vice versa.
Everyone who is not old is not rich and vice versa.
If someone is both strong and not calm then someone is s... | Paul is rich. | contradiction | ((?[X]:((quiet(X)<~>tall(X))))<=>((~brave(fred)|~happy(fred))))&
(![X]:(~generous(X)=>(~happy(X)|strong(X))))&
(![X]:((humble(X)&~patient(X))<=>~tall(X)))&
(![X]:(~old(X)<=>~rich(X)))&
((?[X]:((strong(X)&~calm(X))))<=>(?[X]:(strong(X))))&
(((~kind(susan)&~calm(susan)))<=>(?[X]:((kind(X)|funny(X)))))&
(![X]:((~quiet(X)<... | rich(paul) | [
"p2",
"p3",
"p6",
"p7",
"p9",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7837721977365447604861288
% SZS output start Proof for 7837721977365447604861288
3. ! [X0] : ((~patient(X0) & humble(X0)) <=> ~tall(X0)) [input p2]
4. ! [X0] : (~old(X0) <=> ~rich(X0)) [input p3]
7. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => strong(X0)) [input p6]
8. ! [X0] : (generous(X0) <... | 0 |
If lucy is not creative or not rich then someone is not creative or not funny and vice versa.
Everyone who is both humble and creative is generous and vice versa.
Everyone who is both quiet and funny is both not happy and tall.
Everyone who is both not tall and not strong is not creative.
Everyone who is not strong or ... | Fred is brave. | entailment | (((~creative(lucy)|~rich(lucy)))<=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:((humble(X)&creative(X))<=>generous(X)))&
(![X]:((quiet(X)&funny(X))=>(~happy(X)&tall(X))))&
(![X]:((~tall(X)&~strong(X))=>~creative(X)))&
(![X]:((~strong(X)|rich(X))=>(generous(X)<~>quiet(X))))&
(![X]:((~patient(X)|~old(X))=>(calm(X)&~happy(X... | brave(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4414692395855419469562754
% SZS output start Proof for 4414692395855419469562754
9. ! [X0] : (patient(X0) <=> (~patient(X0) | brave(X0))) [input p8]
22. ~brave(fred) [input hypothesis]
52. ! [X0] : ((patient(X0) | (patient(X0) & ~brave(X0))) & ((~patient(X0) | brave(X0)) | ~patient(X0))) ... | 0 |
If someone is not patient or generous then mary is not quiet or not humble. Everyone who is both wise and not happy is either old or not creative and vice versa. Everyone who is not quiet or not happy is both calm and creative. Everyone who is both patient and not generous is both quiet and not generous and vice versa.... | Lucy is not strong. | contradiction | ((?[X]:((~patient(X)|generous(X))))=>((~quiet(mary)|~humble(mary))))&
(![X]:((wise(X)&~happy(X))<=>(old(X)<~>~creative(X))))&
(![X]:((~quiet(X)|~happy(X))=>(calm(X)&creative(X))))&
(![X]:((patient(X)&~generous(X))<=>(quiet(X)&~generous(X))))&
(![X]:((curious(X)|~wise(X))<=>(~wise(X)|~rich(X))))&
(![X]:((~quiet(X)<~>~ha... | ~strong(lucy) | [
"p2",
"p7",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 263141847575600259965578
% SZS output start Proof for 263141847575600259965578
3. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (creative(X0) & calm(X0))) [input p2]
8. ! [X0] : ((~rich(X0) & creative(X0)) <=> (rich(X0) & ~happy(X0))) [input p7]
9. ! [X0] : (~generous(X0) => generous(X0)) [input... | 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... | Alice 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(alice) | [] | null | 0 |
If paul is both not wise and old then paul is quiet or not patient.
Everyone who is not wise is not rich or humble.
If lucy is both creative and not kind then paul is both not tall and not humble.
Everyone who is not humble is both not creative and patient and vice versa.
Everyone who is both happy and curious is not c... | John is not happy. | contradiction | (((~wise(paul)&old(paul)))=>((quiet(paul)|~patient(paul))))&
(![X]:(~wise(X)=>(~rich(X)|humble(X))))&
(((creative(lucy)&~kind(lucy)))=>((~tall(paul)&~humble(paul))))&
(![X]:(~humble(X)<=>(~creative(X)&patient(X))))&
(![X]:((happy(X)&curious(X))<=>(~creative(X)|~patient(X))))&
((?[X]:((curious(X)&~humble(X))))<=>(?[X]:(... | ~happy(john) | [
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4675440423174888785658723
% SZS output start Proof for 4675440423174888785658723
5. ! [X0] : ((curious(X0) & happy(X0)) <=> (~patient(X0) | ~creative(X0))) [input p4]
19. ~creative(john) & funny(john) [input p18]
24. ~happy(john) [input hypothesis]
46. ! [X0] : (((curious(X0) & happy(X0))... | 0 |
Everyone who is either creative or not brave is not old and vice versa. Everyone who is not kind or wise is both happy and quiet and vice versa. Everyone who is either not funny or funny is both not patient and wise and vice versa. If someone is not patient then someone is both not old and not strong. Everyone who is c... | Susan is curious. | contradiction | (![X]:((creative(X)<~>~brave(X))<=>~old(X)))&
(![X]:((~kind(X)|wise(X))<=>(happy(X)&quiet(X))))&
(![X]:((~funny(X)<~>funny(X))<=>(~patient(X)&wise(X))))&
((?[X]:(~patient(X)))=>(?[X]:((~old(X)&~strong(X)))))&
(![X]:(curious(X)=>(generous(X)&brave(X))))&
((?[X]:((~humble(X)&wise(X))))<=>((~humble(john)|wise(john))))&
(!... | curious(susan) | [
"p1",
"p2",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9022278502066300626808981
% SZS output start Proof for 9022278502066300626808981
2. ! [X0] : ((wise(X0) | ~kind(X0)) <=> (quiet(X0) & happy(X0))) [input p1]
3. ! [X0] : ((~funny(X0) <~> funny(X0)) <=> (wise(X0) & ~patient(X0))) [input p2]
5. ! [X0] : (curious(X0) => (brave(X0) & generous(... | 0 |
If paul is not rich then lucy is either creative or calm and vice versa. Everyone who is both not curious and not humble is not strong or not patient and vice versa. If someone is both not happy and old then john is humble or happy. If mary is kind or creative then someone is not calm or not curious. If someone is eith... | Lucy is not tall. | entailment | ((~rich(paul))<=>((creative(lucy)<~>calm(lucy))))&
(![X]:((~curious(X)&~humble(X))<=>(~strong(X)|~patient(X))))&
((?[X]:((~happy(X)&old(X))))=>((humble(john)|happy(john))))&
(((kind(mary)|creative(mary)))=>(?[X]:((~calm(X)|~curious(X)))))&
((?[X]:((~kind(X)<~>~curious(X))))<=>(?[X]:(~tall(X))))&
(![X]:(~humble(X)<=>(~q... | ~tall(lucy) | [
"p1",
"p5",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 248291617975048976342943
% SZS output start Proof for 248291617975048976342943
2. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> (~patient(X0) | ~strong(X0))) [input p1]
6. ! [X0] : (~humble(X0) <=> (~kind(X0) | ~quiet(X0))) [input p5]
8. ! [X0] : ((happy(X0) <~> strong(X0)) => (~funny(X0) & ... | 0 |
Everyone who is not patient or not creative is not happy or wise.
If fred is generous then someone is humble.
If someone is both happy and not quiet then someone is both quiet and not brave and vice versa.
Everyone who is either calm or rich is either kind or humble.
Everyone who is not wise is not tall.
If susan is wi... | Fred is wise. | entailment | (![X]:((~patient(X)|~creative(X))=>(~happy(X)|wise(X))))&
((generous(fred))=>(?[X]:(humble(X))))&
((?[X]:((happy(X)&~quiet(X))))<=>(?[X]:((quiet(X)&~brave(X)))))&
(![X]:((calm(X)<~>rich(X))=>(kind(X)<~>humble(X))))&
(![X]:(~wise(X)=>~tall(X)))&
((wise(susan))=>((~tall(fred)&kind(fred))))&
(((tall(susan)&old(susan)))=>(... | wise(fred) | [
"p4",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4703803710401733564816758
% SZS output start Proof for 4703803710401733564816758
5. ! [X0] : (~wise(X0) => ~tall(X0)) [input p4]
24. humble(fred) & tall(fred) [input p23]
25. ~wise(fred) [input hypothesis]
32. ! [X0] : (~tall(X0) | wise(X0)) [ennf transformation 5]
85. ~tall(X0) | wise(X0... | 0 |
Everyone who is kind or not wise is either generous or not humble and vice versa.
If paul is not tall or humble then someone is both not funny and not quiet and vice versa.
Everyone who is either not generous or not creative is patient and vice versa.
If fred is either not brave or wise then someone is not funny or wis... | Fred is humble. | neutral | (![X]:((kind(X)|~wise(X))<=>(generous(X)<~>~humble(X))))&
(((~tall(paul)|humble(paul)))<=>(?[X]:((~funny(X)&~quiet(X)))))&
(![X]:((~generous(X)<~>~creative(X))<=>patient(X)))&
(((~brave(fred)<~>wise(fred)))=>(?[X]:((~funny(X)|wise(X)))))&
(![X]:(~rich(X)<=>(~brave(X)&~strong(X))))&
((?[X]:((funny(X)|calm(X))))=>(?[X]:(... | humble(fred) | [] | null | 0 |
If mary is both old and not brave then someone is not quiet.
Everyone who is creative is either curious or not brave and vice versa.
If lucy is either not happy or strong then susan is either kind or not old and vice versa.
Everyone who is either happy or not quiet is both not kind and kind and vice versa.
If susan is ... | Alice is humble. | contradiction | (((old(mary)&~brave(mary)))=>(?[X]:(~quiet(X))))&
(![X]:(creative(X)<=>(curious(X)<~>~brave(X))))&
(((~happy(lucy)<~>strong(lucy)))<=>((kind(susan)<~>~old(susan))))&
(![X]:((happy(X)<~>~quiet(X))<=>(~kind(X)&kind(X))))&
(((~generous(susan)<~>~humble(susan)))=>(?[X]:((generous(X)<~>kind(X)))))&
(![X]:((~wise(X)&patient(... | humble(alice) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4712900243983983044877073
% SZS output start Proof for 4712900243983983044877073
22. ~humble(alice) [input p21]
25. humble(alice) [input hypothesis]
126. ~humble(alice) [cnf transformation 22]
130. humble(alice) [cnf transformation 25]
245. 24 <=> humble(alice) [avatar definition]
314. ~2... | 0 |
Everyone who is calm or curious is tall or not generous.
If someone is both old and not calm then fred is calm.
Everyone who is not quiet is patient and vice versa.
If john is kind then someone is brave or curious and vice versa.
Everyone who is not generous or creative is rich or funny and vice versa.
Everyone who is ... | Fred is curious. | contradiction | (![X]:((calm(X)|curious(X))=>(tall(X)|~generous(X))))&
((?[X]:((old(X)&~calm(X))))=>(calm(fred)))&
(![X]:(~quiet(X)<=>patient(X)))&
((kind(john))<=>(?[X]:((brave(X)|curious(X)))))&
(![X]:((~generous(X)|creative(X))<=>(rich(X)|funny(X))))&
(![X]:(rich(X)=>(calm(X)&~kind(X))))&
(![X]:(rich(X)<=>(~funny(X)|~creative(X))))... | curious(fred) | [
"p3",
"p5",
"p6",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1332942322055888505190376
% SZS output start Proof for 1332942322055888505190376
4. kind(john) <=> ? [X0] : (curious(X0) | brave(X0)) [input p3]
6. ! [X0] : (rich(X0) => (~kind(X0) & calm(X0))) [input p5]
7. ! [X0] : (rich(X0) <=> (~creative(X0) | ~funny(X0))) [input p6]
10. ! [X0] : (~ta... | 0 |
Everyone who is both not wise and quiet is calm or happy.
Everyone who is wise is either calm or not generous.
Everyone who is not creative is kind and vice versa.
If someone is not brave or funny then someone is not creative and vice versa.
Everyone who is generous is both strong and generous.
If alice is not funny or... | Mary is not creative. | entailment | (![X]:((~wise(X)&quiet(X))=>(calm(X)|happy(X))))&
(![X]:(wise(X)=>(calm(X)<~>~generous(X))))&
(![X]:(~creative(X)<=>kind(X)))&
((?[X]:((~brave(X)|funny(X))))<=>(?[X]:(~creative(X))))&
(![X]:(generous(X)=>(strong(X)&generous(X))))&
(((~funny(alice)|brave(alice)))=>((tall(mary)<~>~calm(mary))))&
(![X]:(happy(X)<=>(calm(X... | ~creative(mary) | [
"p4",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5450991044891400970200500
% SZS output start Proof for 5450991044891400970200500
5. ! [X0] : (generous(X0) => (generous(X0) & strong(X0))) [input p4]
12. ! [X0] : (creative(X0) => (strong(X0) | funny(X0))) [input p11]
14. ! [X0] : ((~funny(X0) <~> creative(X0)) => (strong(X0) & patient(X0... | 0 |
If mary is both creative and not happy then susan is not old or wise and vice versa. Everyone who is happy or not humble is humble and vice versa. If someone is not wise or not funny then someone is not wise. Everyone who is both curious and not strong is not old. If john is both not kind and not generous then someone ... | John is humble. | entailment | (((creative(mary)&~happy(mary)))<=>((~old(susan)|wise(susan))))&
(![X]:((happy(X)|~humble(X))<=>humble(X)))&
((?[X]:((~wise(X)|~funny(X))))=>(?[X]:(~wise(X))))&
(![X]:((curious(X)&~strong(X))=>~old(X)))&
(((~kind(john)&~generous(john)))=>(?[X]:((curious(X)<~>happy(X)))))&
((?[X]:((generous(X)&curious(X))))<=>((~generou... | humble(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 9056735000929483947744793
% SZS output start Proof for 9056735000929483947744793
2. ! [X0] : ((~humble(X0) | happy(X0)) <=> humble(X0)) [input p1]
25. ~humble(john) [input hypothesis]
42. ! [X0] : (((~humble(X0) | happy(X0)) | ~humble(X0)) & (humble(X0) | (humble(X0) & ~happy(X0)))) [nnf ... | 0 |
If someone is both not tall and kind then lucy is old and vice versa. If mary is curious then fred is either patient or humble. Everyone who is happy is either not curious or quiet and vice versa. Everyone who is both creative and not wise is both calm and not brave and vice versa. Everyone who is either not patient or... | Lucy is not rich. | contradiction | ((?[X]:((~tall(X)&kind(X))))<=>(old(lucy)))&
((curious(mary))=>((patient(fred)<~>humble(fred))))&
(![X]:(happy(X)<=>(~curious(X)<~>quiet(X))))&
(![X]:((creative(X)&~wise(X))<=>(calm(X)&~brave(X))))&
(![X]:((~patient(X)<~>happy(X))<=>humble(X)))&
(![X]:((happy(X)<~>creative(X))<=>(old(X)<~>~wise(X))))&
(![X]:(rich(X)<=>... | ~rich(lucy) | [
"p2",
"p6",
"p8",
"p11",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3730691645328032146565401
% SZS output start Proof for 3730691645328032146565401
3. ! [X0] : (happy(X0) <=> (~curious(X0) <~> quiet(X0))) [input p2]
7. ! [X0] : (rich(X0) <=> (patient(X0) | brave(X0))) [input p6]
9. ! [X0] : ((~curious(X0) | brave(X0)) <=> (curious(X0) <~> ~quiet(X0))) [i... | 0 |
Everyone who is not patient or not quiet is not tall or not strong and vice versa.
If someone is both wise and kind then someone is wise and vice versa.
If someone is either not brave or happy then susan is either not generous or not strong.
If someone is either not rich or not calm then fred is not brave or not curiou... | Mary is tall. | neutral | (![X]:((~patient(X)|~quiet(X))<=>(~tall(X)|~strong(X))))&
((?[X]:((wise(X)&kind(X))))<=>(?[X]:(wise(X))))&
((?[X]:((~brave(X)<~>happy(X))))=>((~generous(susan)<~>~strong(susan))))&
((?[X]:((~rich(X)<~>~calm(X))))<=>((~brave(fred)|~curious(fred))))&
((?[X]:((~generous(X)<~>~funny(X))))=>(?[X]:(~wise(X))))&
(![X]:((tall(... | tall(mary) | [] | null | 0 |
Everyone who is both rich and patient is not kind and vice versa.
If someone is not calm or humble then someone is either rich or funny.
Everyone who is curious or not rich is either not kind or not humble.
Everyone who is generous is both kind and creative and vice versa.
If someone is not happy then someone is not ge... | Mary is not happy. | contradiction | (![X]:((rich(X)&patient(X))<=>~kind(X)))&
((?[X]:((~calm(X)|humble(X))))=>(?[X]:((rich(X)<~>funny(X)))))&
(![X]:((curious(X)|~rich(X))=>(~kind(X)<~>~humble(X))))&
(![X]:(generous(X)<=>(kind(X)&creative(X))))&
((?[X]:(~happy(X)))=>(?[X]:((~generous(X)|strong(X)))))&
(((happy(alice)&~brave(alice)))<=>((~quiet(paul)<~>~ge... | ~happy(mary) | [
"p0",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5659735785500120358987963
% SZS output start Proof for 5659735785500120358987963
1. ! [X0] : ((patient(X0) & rich(X0)) <=> ~kind(X0)) [input p0]
14. (wise(susan) <~> ~patient(susan)) <=> (kind(susan) <~> ~wise(susan)) [input p13]
16. happy(mary) <=> ? [X0] : patient(X0) [input p15]
24. ~h... | 0 |
If someone is both patient and not tall then fred is either calm or strong and vice versa.
Everyone who is not calm or old is both tall and not kind and vice versa.
If someone is not rich then susan is either funny or humble.
If someone is either not generous or curious then someone is either not brave or happy.
If joh... | Lucy is not kind. | entailment | ((?[X]:((patient(X)&~tall(X))))<=>((calm(fred)<~>strong(fred))))&
(![X]:((~calm(X)|old(X))<=>(tall(X)&~kind(X))))&
((?[X]:(~rich(X)))=>((funny(susan)<~>humble(susan))))&
((?[X]:((~generous(X)<~>curious(X))))=>(?[X]:((~brave(X)<~>happy(X)))))&
(((funny(john)|~patient(john)))<=>((~wise(susan)&~generous(susan))))&
(![X]:(... | ~kind(lucy) | [
"p5",
"p7",
"p8",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2592356227752378623552470
% SZS output start Proof for 2592356227752378623552470
6. ! [X0] : ((creative(X0) & generous(X0)) <=> (brave(X0) | strong(X0))) [input p5]
8. ! [X0] : ((curious(X0) & ~kind(X0)) <=> (wise(X0) <~> ~happy(X0))) [input p7]
9. ? [X0] : (~generous(X0) <~> kind(X0)) =>... | 0 |
If someone is not rich or old then someone is not calm or not wise.
Everyone who is not creative or not strong is both not tall and kind and vice versa.
Everyone who is both not happy and humble is both curious and not rich and vice versa.
Everyone who is brave is not curious or generous.
Everyone who is not patient is... | Alice is not funny. | entailment | ((?[X]:((~rich(X)|old(X))))=>(?[X]:((~calm(X)|~wise(X)))))&
(![X]:((~creative(X)|~strong(X))<=>(~tall(X)&kind(X))))&
(![X]:((~happy(X)&humble(X))<=>(curious(X)&~rich(X))))&
(![X]:(brave(X)=>(~curious(X)|generous(X))))&
(![X]:(~patient(X)<=>(humble(X)|~humble(X))))&
(((~calm(john)<~>~happy(john)))<=>(rich(paul)))&
((?[X... | ~funny(alice) | [
"p1",
"p4",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8730935204555186215297759
% SZS output start Proof for 8730935204555186215297759
2. ! [X0] : ((~strong(X0) | ~creative(X0)) <=> (kind(X0) & ~tall(X0))) [input p1]
5. ! [X0] : (~patient(X0) <=> (~humble(X0) | humble(X0))) [input p4]
9. ? [X0] : (~creative(X0) <~> strong(X0)) => (~tall(mary... | 0 |
Everyone who is patient is happy or patient.
Everyone who is not funny or calm is wise and vice versa.
Everyone who is not rich or not generous is not brave and vice versa.
If paul is not humble then someone is either not humble or not rich.
If someone is not kind or rich then someone is either rich or kind and vice ve... | John is calm. | entailment | (![X]:(patient(X)=>(happy(X)|patient(X))))&
(![X]:((~funny(X)|calm(X))<=>wise(X)))&
(![X]:((~rich(X)|~generous(X))<=>~brave(X)))&
((~humble(paul))=>(?[X]:((~humble(X)<~>~rich(X)))))&
((?[X]:((~kind(X)|rich(X))))<=>(?[X]:((rich(X)<~>kind(X)))))&
(![X]:((~brave(X)&strong(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((calm(X)&... | calm(john) | [
"p2",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 642176004045422618891645
% SZS output start Proof for 642176004045422618891645
3. ! [X0] : ((~generous(X0) | ~rich(X0)) <=> ~brave(X0)) [input p2]
7. ! [X0] : ((rich(X0) & calm(X0)) <=> (old(X0) | ~brave(X0))) [input p6]
9. ! [X0] : ((~old(X0) | generous(X0)) <=> ~brave(X0)) [input p8]
22... | 0 |
If someone is not quiet or not calm then someone is either rich or not quiet and vice versa.
If someone is humble or creative then fred is strong and vice versa.
Everyone who is both not old and not funny is not happy and vice versa.
Everyone who is both not strong and funny is both strong and not funny.
Everyone who i... | Fred is not brave. | contradiction | ((?[X]:((~quiet(X)|~calm(X))))<=>(?[X]:((rich(X)<~>~quiet(X)))))&
((?[X]:((humble(X)|creative(X))))<=>(strong(fred)))&
(![X]:((~old(X)&~funny(X))<=>~happy(X)))&
(![X]:((~strong(X)&funny(X))=>(strong(X)&~funny(X))))&
(![X]:((~quiet(X)<~>old(X))<=>(~curious(X)&~calm(X))))&
(((old(paul)<~>~quiet(paul)))=>((~quiet(susan)|h... | ~brave(fred) | [
"p1",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4177097713962125313554655
% SZS output start Proof for 4177097713962125313554655
2. ? [X0] : (creative(X0) | humble(X0)) <=> strong(fred) [input p1]
11. ! [X0] : (~brave(X0) => (old(X0) & ~strong(X0))) [input p10]
18. ~humble(susan) <~> ~creative(susan) [input p17]
25. ~brave(fred) [input... | 0 |
If someone is kind then alice is curious and vice versa. Everyone who is tall is not happy or wise and vice versa. Everyone who is not rich or strong is happy. Everyone who is either not creative or generous is not creative. Everyone who is not patient is not brave or brave and vice versa. Everyone who is not brave or ... | Fred is not calm. | entailment | ((?[X]:(kind(X)))<=>(curious(alice)))&
(![X]:(tall(X)<=>(~happy(X)|wise(X))))&
(![X]:((~rich(X)|strong(X))=>happy(X)))&
(![X]:((~creative(X)<~>generous(X))=>~creative(X)))&
(![X]:(~patient(X)<=>(~brave(X)|brave(X))))&
(![X]:((~brave(X)|~strong(X))<=>(brave(X)|~rich(X))))&
((?[X]:((~old(X)&wise(X))))<=>((quiet(mary)<~>~... | ~calm(fred) | [
"p1",
"p9",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3326114204599807729463063
% SZS output start Proof for 3326114204599807729463063
2. ! [X0] : (tall(X0) <=> (wise(X0) | ~happy(X0))) [input p1]
10. ? [X0] : ~humble(X0) <=> ~tall(mary) [input p9]
12. ! [X0] : ((happy(X0) <~> wise(X0)) <=> (creative(X0) & ~creative(X0))) [input p11]
14. ! [... | 0 |
Everyone who is both not tall and not quiet is either kind or not curious.
If someone is old or not generous then someone is not happy or not kind and vice versa.
If mary is both wise and creative then alice is creative or happy and vice versa.
If paul is either wise or curious then john is not rich or not calm and vic... | Fred is wise. | contradiction | (![X]:((~tall(X)&~quiet(X))=>(kind(X)<~>~curious(X))))&
((?[X]:((old(X)|~generous(X))))<=>(?[X]:((~happy(X)|~kind(X)))))&
(((wise(mary)&creative(mary)))<=>((creative(alice)|happy(alice))))&
(((wise(paul)<~>curious(paul)))<=>((~rich(john)|~calm(john))))&
((?[X]:((~funny(X)|~generous(X))))=>(curious(alice)))&
(((patient(... | wise(fred) | [
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2430037970242787613685998
% SZS output start Proof for 2430037970242787613685998
14. ! [X0] : (wise(X0) <=> (kind(X0) & ~patient(X0))) [input p13]
21. ~kind(fred) & strong(fred) [input p20]
25. wise(fred) [input hypothesis]
65. ! [X0] : ((wise(X0) | (~kind(X0) | patient(X0))) & ((kind(X0)... | 0 |
If mary is both quiet and not creative then paul is both old and happy and vice versa.
Everyone who is both not quiet and not funny is both old and not rich and vice versa.
Everyone who is not tall or not strong is either happy or not strong and vice versa.
Everyone who is not generous or tall is either not rich or tal... | Fred is not funny. | entailment | (((quiet(mary)&~creative(mary)))<=>((old(paul)&happy(paul))))&
(![X]:((~quiet(X)&~funny(X))<=>(old(X)&~rich(X))))&
(![X]:((~tall(X)|~strong(X))<=>(happy(X)<~>~strong(X))))&
(![X]:((~generous(X)|tall(X))=>(~rich(X)<~>tall(X))))&
(((curious(john)&~generous(john)))=>(?[X]:((~happy(X)|kind(X)))))&
((rich(fred))=>(?[X]:((~g... | ~funny(fred) | [
"p2",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5606143137303350631168196
% SZS output start Proof for 5606143137303350631168196
3. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (happy(X0) <~> ~strong(X0))) [input p2]
9. ! [X0] : ((~happy(X0) & funny(X0)) <=> (happy(X0) & old(X0))) [input p8]
17. tall(fred) [input p16]
25. funny(fred) [input... | 0 |
Everyone who is patient is either not strong or not happy.
Everyone who is either curious or not strong is either not wise or not kind.
Everyone who is strong or tall is not calm and vice versa.
If paul is calm or not generous then paul is either not quiet or rich and vice versa.
Everyone who is wise or curious is not ... | Fred is happy. | contradiction | (![X]:(patient(X)=>(~strong(X)<~>~happy(X))))&
(![X]:((curious(X)<~>~strong(X))=>(~wise(X)<~>~kind(X))))&
(![X]:((strong(X)|tall(X))<=>~calm(X)))&
(((calm(paul)|~generous(paul)))<=>((~quiet(paul)<~>rich(paul))))&
(![X]:((wise(X)|curious(X))=>~creative(X)))&
(![X]:((~funny(X)&quiet(X))<=>(~old(X)&kind(X))))&
(((wise(mar... | happy(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 951264097149852895963675
% SZS output start Proof for 951264097149852895963675
22. ~funny(fred) & ~happy(fred) [input p21]
24. happy(fred) [input hypothesis]
124. ~happy(fred) [cnf transformation 22]
127. happy(fred) [cnf transformation 24]
269. $false [subsumption resolution 127,124]
% S... | 0 |
Everyone who is both not patient and patient is not generous or not strong and vice versa.
Everyone who is funny is tall or not happy.
Everyone who is strong or not kind is not quiet or patient and vice versa.
If someone is both kind and not creative then alice is humble.
If fred is not happy then someone is not old.
I... | Fred is generous. | entailment | (![X]:((~patient(X)&patient(X))<=>(~generous(X)|~strong(X))))&
(![X]:(funny(X)=>(tall(X)|~happy(X))))&
(![X]:((strong(X)|~kind(X))<=>(~quiet(X)|patient(X))))&
((?[X]:((kind(X)&~creative(X))))=>(humble(alice)))&
((~happy(fred))=>(?[X]:(~old(X))))&
((?[X]:((~calm(X)|~generous(X))))<=>(?[X]:((curious(X)<~>generous(X)))))&... | generous(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3976743824243588452928405
% SZS output start Proof for 3976743824243588452928405
1. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (~strong(X0) | ~generous(X0))) [input p0]
18. ~generous(fred) [input hypothesis]
30. ! [X0] : (((patient(X0) & ~patient(X0)) | (strong(X0) & generous(X0))) & ((~s... | 0 |
If someone is not calm then paul is quiet or not brave.
Everyone who is both not humble and curious is both humble and not calm.
Everyone who is not wise is either not happy or patient.
If someone is generous then susan is both not calm and old.
Everyone who is either old or strong is generous and vice versa.
Everyone ... | John is brave. | contradiction | ((?[X]:(~calm(X)))=>((quiet(paul)|~brave(paul))))&
(![X]:((~humble(X)&curious(X))=>(humble(X)&~calm(X))))&
(![X]:(~wise(X)=>(~happy(X)<~>patient(X))))&
((?[X]:(generous(X)))=>((~calm(susan)&old(susan))))&
(![X]:((old(X)<~>strong(X))<=>generous(X)))&
(![X]:((~wise(X)<~>~quiet(X))=>(kind(X)|wise(X))))&
(![X]:(humble(X)<=... | brave(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4002407643326426762478896
% SZS output start Proof for 4002407643326426762478896
8. ! [X0] : ((humble(X0) & ~brave(X0)) <=> brave(X0)) [input p7]
23. brave(john) [input hypothesis]
44. ! [X0] : (((humble(X0) & ~brave(X0)) | ~brave(X0)) & (brave(X0) | (~humble(X0) | brave(X0)))) [nnf trans... | 0 |
If someone is either curious or wise then someone is both not quiet and creative. Everyone who is not generous is not kind and vice versa. Everyone who is both not humble and not old is not curious and vice versa. If someone is both not rich and creative then paul is not rich. Everyone who is both not happy and not str... | John is happy. | entailment | ((?[X]:((curious(X)<~>wise(X))))=>(?[X]:((~quiet(X)&creative(X)))))&
(![X]:(~generous(X)<=>~kind(X)))&
(![X]:((~humble(X)&~old(X))<=>~curious(X)))&
((?[X]:((~rich(X)&creative(X))))=>(~rich(paul)))&
(![X]:((~happy(X)&~strong(X))=>~quiet(X)))&
(((~happy(alice)|wise(alice)))<=>((~brave(alice)&humble(alice))))&
((?[X]:(~ki... | happy(john) | [
"p0",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 977438158407930173451761
% SZS output start Proof for 977438158407930173451761
1. ? [X0] : (curious(X0) <~> wise(X0)) => ? [X0] : (creative(X0) & ~quiet(X0)) [input p0]
8. ? [X0] : (strong(X0) | tall(X0)) => ~rich(john) [input p7]
9. ! [X0] : ((~quiet(X0) | humble(X0)) => (~creative(X0) &... | 0 |
Everyone who is not humble is either not funny or brave and vice versa.
Everyone who is funny or happy is both not wise and calm and vice versa.
If lucy is not creative then susan is not curious or kind and vice versa.
Everyone who is both patient and rich is patient or not old.
Everyone who is either wise or calm is b... | Susan is brave. | contradiction | (![X]:(~humble(X)<=>(~funny(X)<~>brave(X))))&
(![X]:((funny(X)|happy(X))<=>(~wise(X)&calm(X))))&
((~creative(lucy))<=>((~curious(susan)|kind(susan))))&
(![X]:((patient(X)&rich(X))=>(patient(X)|~old(X))))&
(![X]:((wise(X)<~>calm(X))=>(kind(X)&~kind(X))))&
(((tall(john)<~>~generous(john)))=>((~kind(john)<~>curious(john))... | brave(susan) | [
"p0",
"p1",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4077924629686327470718128
% SZS output start Proof for 4077924629686327470718128
1. ! [X0] : (~humble(X0) <=> (~funny(X0) <~> brave(X0))) [input p0]
2. ! [X0] : ((happy(X0) | funny(X0)) <=> (calm(X0) & ~wise(X0))) [input p1]
5. ! [X0] : ((wise(X0) <~> calm(X0)) => (~kind(X0) & kind(X0))) ... | 0 |
If john is generous or creative then someone is not rich or funny and vice versa.
If susan is strong or not wise then john is not humble or rich.
Everyone who is either tall or curious is tall.
If someone is calm or brave then fred is wise.
If susan is calm or not kind then someone is old or happy.
If someone is either... | Paul is not creative. | entailment | (((generous(john)|creative(john)))<=>(?[X]:((~rich(X)|funny(X)))))&
(((strong(susan)|~wise(susan)))=>((~humble(john)|rich(john))))&
(![X]:((tall(X)<~>curious(X))=>tall(X)))&
((?[X]:((calm(X)|brave(X))))=>(wise(fred)))&
(((calm(susan)|~kind(susan)))=>(?[X]:((old(X)|happy(X)))))&
((?[X]:((~curious(X)<~>generous(X))))=>(?... | ~creative(paul) | [
"p0",
"p9",
"p12",
"p14",
"p16",
"p17",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 638132964996761973338248
% SZS output start Proof for 638132964996761973338248
1. (creative(john) | generous(john)) <=> ? [X0] : (funny(X0) | ~rich(X0)) [input p0]
10. ! [X0] : ((creative(X0) <~> ~wise(X0)) <=> (funny(X0) | ~rich(X0))) [input p9]
13. ! [X0] : ((generous(X0) | happy(X0)) <... | 0 |
If lucy is not happy then someone is rich or not rich.
If alice is rich then someone is either not quiet or not kind.
Everyone who is either calm or old is happy or generous and vice versa.
Everyone who is not creative or patient is calm and vice versa.
If john is quiet then mary is creative and vice versa.
If susan is... | Mary is not kind. | contradiction | ((~happy(lucy))=>(?[X]:((rich(X)|~rich(X)))))&
((rich(alice))=>(?[X]:((~quiet(X)<~>~kind(X)))))&
(![X]:((calm(X)<~>old(X))<=>(happy(X)|generous(X))))&
(![X]:((~creative(X)|patient(X))<=>calm(X)))&
((quiet(john))<=>(creative(mary)))&
((~old(susan))<=>((~quiet(alice)&~tall(alice))))&
(((~humble(alice)<~>rich(alice)))<=>(... | ~kind(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 865436056688953937973499
% SZS output start Proof for 865436056688953937973499
20. kind(mary) [input p19]
25. ~kind(mary) [input hypothesis]
129. kind(mary) [cnf transformation 20]
134. ~kind(mary) [cnf transformation 25]
349. $false [subsumption resolution 134,129]
% SZS output end Proof... | 0 |
Everyone who is both not rich and not happy is tall or not generous.
Everyone who is not rich is both not generous and old and vice versa.
Everyone who is old or generous is either old or not quiet and vice versa.
If someone is both rich and generous then someone is both patient and tall and vice versa.
If someone is n... | Susan is quiet. | neutral | (![X]:((~rich(X)&~happy(X))=>(tall(X)|~generous(X))))&
(![X]:(~rich(X)<=>(~generous(X)&old(X))))&
(![X]:((old(X)|generous(X))<=>(old(X)<~>~quiet(X))))&
((?[X]:((rich(X)&generous(X))))<=>(?[X]:((patient(X)&tall(X)))))&
((?[X]:(~calm(X)))=>(?[X]:((rich(X)|quiet(X)))))&
((?[X]:((~quiet(X)&~wise(X))))<=>(happy(lucy)))&
(![... | quiet(susan) | [] | null | 0 |
Everyone who is creative or not strong is both funny and generous. Everyone who is not curious is not old and vice versa. If john is humble then someone is both not kind and rich. Everyone who is both kind and not humble is both not happy and not curious and vice versa. Everyone who is both calm and curious is both not... | John is kind. | entailment | (![X]:((creative(X)|~strong(X))=>(funny(X)&generous(X))))&
(![X]:(~curious(X)<=>~old(X)))&
((humble(john))=>(?[X]:((~kind(X)&rich(X)))))&
(![X]:((kind(X)&~humble(X))<=>(~happy(X)&~curious(X))))&
(![X]:((calm(X)&curious(X))<=>(~kind(X)&humble(X))))&
(![X]:((rich(X)|~creative(X))=>creative(X)))&
(((old(alice)&creative(al... | kind(john) | [
"p0",
"p3",
"p4",
"p5",
"p8",
"p9",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3323690504301573428797761
% SZS output start Proof for 3323690504301573428797761
1. ! [X0] : ((~strong(X0) | creative(X0)) => (generous(X0) & funny(X0))) [input p0]
4. ! [X0] : ((~humble(X0) & kind(X0)) <=> (~curious(X0) & ~happy(X0))) [input p3]
5. ! [X0] : ((curious(X0) & calm(X0)) <=> ... | 0 |
If someone is either brave or not kind then someone is either not funny or curious and vice versa. Everyone who is either calm or creative is not kind. If someone is both not funny and not humble then someone is both not quiet and not happy and vice versa. Everyone who is both not old and not curious is patient or curi... | Alice is wise. | contradiction | ((?[X]:((brave(X)<~>~kind(X))))<=>(?[X]:((~funny(X)<~>curious(X)))))&
(![X]:((calm(X)<~>creative(X))=>~kind(X)))&
((?[X]:((~funny(X)&~humble(X))))<=>(?[X]:((~quiet(X)&~happy(X)))))&
(![X]:((~old(X)&~curious(X))=>(patient(X)|curious(X))))&
(((old(john)&~strong(john)))=>(?[X]:(~calm(X))))&
(((~funny(paul)&curious(paul)))... | wise(alice) | [
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1578341633919228580326197
% SZS output start Proof for 1578341633919228580326197
10. ! [X0] : ((~wise(X0) & ~tall(X0)) <=> (brave(X0) | strong(X0))) [input p9]
24. brave(alice) [input p23]
25. wise(alice) [input hypothesis]
58. ! [X0] : (((~wise(X0) & ~tall(X0)) | (~brave(X0) & ~strong(X0... | 0 |
Everyone who is both generous and rich is not generous.
Everyone who is not old is not generous.
Everyone who is both generous and not creative is both old and wise and vice versa.
Everyone who is not happy is either not old or brave and vice versa.
If mary is both not old and curious then fred is not strong.
Everyone ... | Mary is creative. | contradiction | (![X]:((generous(X)&rich(X))=>~generous(X)))&
(![X]:(~old(X)=>~generous(X)))&
(![X]:((generous(X)&~creative(X))<=>(old(X)&wise(X))))&
(![X]:(~happy(X)<=>(~old(X)<~>brave(X))))&
(((~old(mary)&curious(mary)))=>(~strong(fred)))&
(![X]:((~patient(X)&~curious(X))=>(wise(X)&patient(X))))&
((~generous(fred))=>((wise(mary)<~>~... | creative(mary) | [
"p7",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7422634386972910692556819
% SZS output start Proof for 7422634386972910692556819
8. ! [X0] : ((generous(X0) & ~strong(X0)) <=> creative(X0)) [input p7]
10. ! [X0] : (~rich(X0) <=> (~quiet(X0) <~> rich(X0))) [input p9]
12. ! [X0] : (tall(X0) <=> (creative(X0) | tall(X0))) [input p11]
16. !... | 0 |
If someone is old then susan is not quiet and vice versa. If someone is both not old and patient then lucy is not calm or brave. If someone is not creative or not tall then paul is both kind and not strong and vice versa. Everyone who is patient is quiet or not funny. If someone is quiet or not generous then lucy is ei... | Alice is not creative. | contradiction | ((?[X]:(old(X)))<=>(~quiet(susan)))&
((?[X]:((~old(X)&patient(X))))=>((~calm(lucy)|brave(lucy))))&
((?[X]:((~creative(X)|~tall(X))))<=>((kind(paul)&~strong(paul))))&
(![X]:(patient(X)=>(quiet(X)|~funny(X))))&
((?[X]:((quiet(X)|~generous(X))))<=>((curious(lucy)<~>~happy(lucy))))&
((?[X]:(creative(X)))<=>((humble(paul)<~... | ~creative(alice) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7482191891060044210913649
% SZS output start Proof for 7482191891060044210913649
3. ? [X0] : (~tall(X0) | ~creative(X0)) <=> (~strong(paul) & kind(paul)) [input p2]
14. ! [X0] : (~strong(X0) => ~kind(X0)) [input p13]
23. ~creative(alice) [input hypothesis]
32. ! [X0] : (~kind(X0) | strong... | 0 |
Everyone who is both not creative and patient is both not brave and curious and vice versa.
If mary is not strong then someone is quiet and vice versa.
Everyone who is not generous or not patient is either patient or generous.
If someone is not kind then someone is both patient and humble.
If someone is not curious the... | John is quiet. | contradiction | (![X]:((~creative(X)&patient(X))<=>(~brave(X)&curious(X))))&
((~strong(mary))<=>(?[X]:(quiet(X))))&
(![X]:((~generous(X)|~patient(X))=>(patient(X)<~>generous(X))))&
((?[X]:(~kind(X)))=>(?[X]:((patient(X)&humble(X)))))&
((?[X]:(~curious(X)))<=>(?[X]:((calm(X)|~humble(X)))))&
(((~strong(susan)&~generous(susan)))<=>((~ric... | quiet(john) | [
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9083197301066710636750826
% SZS output start Proof for 9083197301066710636750826
7. ! [X0] : ((quiet(X0) | old(X0)) <=> (rich(X0) <~> ~old(X0))) [input p6]
11. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (rich(X0) <~> old(X0))) [input p10]
19. ~tall(john) [input p18]
25. quiet(john) [input hy... | 0 |
Everyone who is rich or kind is not tall or not rich and vice versa.
Everyone who is both not brave and not calm is humble or not rich.
Everyone who is not generous or not quiet is creative or brave and vice versa.
If someone is curious or wise then someone is either creative or not curious.
Everyone who is generous is... | Fred is not old. | neutral | (![X]:((rich(X)|kind(X))<=>(~tall(X)|~rich(X))))&
(![X]:((~brave(X)&~calm(X))=>(humble(X)|~rich(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(creative(X)|brave(X))))&
((?[X]:((curious(X)|wise(X))))=>(?[X]:((creative(X)<~>~curious(X)))))&
(![X]:(generous(X)=>(~kind(X)<~>~funny(X))))&
(![X]:((happy(X)<~>~old(X))=>(calm(X)&br... | ~old(fred) | [] | null | 0 |
If someone is either not humble or funny then someone is both not strong and not happy and vice versa.
Everyone who is not brave or not humble is either not tall or wise.
Everyone who is not wise or not funny is either old or happy and vice versa.
Everyone who is curious or patient is not happy.
If john is not tall or ... | John is happy. | contradiction | ((?[X]:((~humble(X)<~>funny(X))))<=>(?[X]:((~strong(X)&~happy(X)))))&
(![X]:((~brave(X)|~humble(X))=>(~tall(X)<~>wise(X))))&
(![X]:((~wise(X)|~funny(X))<=>(old(X)<~>happy(X))))&
(![X]:((curious(X)|patient(X))=>~happy(X)))&
(((~tall(john)|old(john)))=>((old(mary)<~>brave(mary))))&
(![X]:((creative(X)&~calm(X))<=>(~calm(... | happy(john) | [
"p3",
"p5",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1799037389544818545414337
% SZS output start Proof for 1799037389544818545414337
4. ! [X0] : ((patient(X0) | curious(X0)) => ~happy(X0)) [input p3]
6. ! [X0] : ((~calm(X0) & creative(X0)) <=> (patient(X0) & ~calm(X0))) [input p5]
7. ! [X0] : ((rich(X0) & ~calm(X0)) <=> (happy(X0) | ~creat... | 0 |
Everyone who is both not creative and rich is not humble or not curious. If someone is brave then alice is brave or strong. Everyone who is strong or not brave is both creative and quiet and vice versa. Everyone who is both humble and not patient is strong or patient and vice versa. Everyone who is quiet or tall is eit... | Susan is quiet. | neutral | (![X]:((~creative(X)&rich(X))=>(~humble(X)|~curious(X))))&
((?[X]:(brave(X)))=>((brave(alice)|strong(alice))))&
(![X]:((strong(X)|~brave(X))<=>(creative(X)&quiet(X))))&
(![X]:((humble(X)&~patient(X))<=>(strong(X)|patient(X))))&
(![X]:((quiet(X)|tall(X))<=>(~wise(X)<~>strong(X))))&
((?[X]:((creative(X)&wise(X))))=>((hum... | quiet(susan) | [] | null | 0 |
If alice is both not strong and funny then someone is creative or generous and vice versa. If someone is both not strong and not happy then lucy is both not quiet and not brave. If someone is both strong and not patient then alice is both not curious and funny. Everyone who is either not creative or not humble is patie... | Paul is wise. | neutral | (((~strong(alice)&funny(alice)))<=>(?[X]:((creative(X)|generous(X)))))&
((?[X]:((~strong(X)&~happy(X))))=>((~quiet(lucy)&~brave(lucy))))&
((?[X]:((strong(X)&~patient(X))))=>((~curious(alice)&funny(alice))))&
(![X]:((~creative(X)<~>~humble(X))=>(patient(X)|kind(X))))&
(![X]:((~quiet(X)<~>creative(X))=>(patient(X)<~>happ... | wise(paul) | [] | null | 0 |
If someone is either humble or quiet then someone is not humble. If alice is either not patient or quiet then someone is tall. Everyone who is either humble or generous is both funny and kind and vice versa. Everyone who is either wise or not kind is both strong and not brave and vice versa. Everyone who is tall is ric... | Fred is patient. | neutral | ((?[X]:((humble(X)<~>quiet(X))))=>(?[X]:(~humble(X))))&
(((~patient(alice)<~>quiet(alice)))=>(?[X]:(tall(X))))&
(![X]:((humble(X)<~>generous(X))<=>(funny(X)&kind(X))))&
(![X]:((wise(X)<~>~kind(X))<=>(strong(X)&~brave(X))))&
(![X]:(tall(X)<=>(rich(X)|quiet(X))))&
((?[X]:((kind(X)|~rich(X))))<=>(?[X]:((strong(X)|creative... | patient(fred) | [] | null | 0 |
Everyone who is both not kind and wise is not quiet or humble.
Everyone who is either not funny or humble is either not happy or not creative.
If mary is both not kind and not curious then susan is brave.
Everyone who is not funny is either tall or not happy.
Everyone who is not happy or wise is creative.
Everyone who ... | Lucy is not wise. | contradiction | (![X]:((~kind(X)&wise(X))=>(~quiet(X)|humble(X))))&
(![X]:((~funny(X)<~>humble(X))=>(~happy(X)<~>~creative(X))))&
(((~kind(mary)&~curious(mary)))=>(brave(susan)))&
(![X]:(~funny(X)=>(tall(X)<~>~happy(X))))&
(![X]:((~happy(X)|wise(X))=>creative(X)))&
(![X]:((~creative(X)<~>~calm(X))=>(strong(X)&~brave(X))))&
((?[X]:((~h... | ~wise(lucy) | [
"p4",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5050739055005128231841047
% SZS output start Proof for 5050739055005128231841047
5. ! [X0] : ((wise(X0) | ~happy(X0)) => creative(X0)) [input p4]
14. ? [X0] : (wise(X0) <~> happy(X0)) => (wise(lucy) & patient(lucy)) [input p13]
21. ~creative(alice) & ~tall(alice) [input p20]
25. ~wise(luc... | 0 |
If someone is both not quiet and patient then someone is either kind or not creative.
Everyone who is not tall or not strong is both generous and patient and vice versa.
Everyone who is both not kind and quiet is not patient and vice versa.
Everyone who is not creative or not strong is tall and vice versa.
Everyone who... | Fred is old. | neutral | ((?[X]:((~quiet(X)&patient(X))))=>(?[X]:((kind(X)<~>~creative(X)))))&
(![X]:((~tall(X)|~strong(X))<=>(generous(X)&patient(X))))&
(![X]:((~kind(X)&quiet(X))<=>~patient(X)))&
(![X]:((~creative(X)|~strong(X))<=>tall(X)))&
(![X]:((old(X)<~>curious(X))=>~quiet(X)))&
(![X]:((quiet(X)&~rich(X))=>(patient(X)<~>rich(X))))&
(((~... | old(fred) | [] | null | 0 |
Everyone who is strong is not humble or funny.
Everyone who is both creative and strong is curious and vice versa.
Everyone who is either wise or not old is generous or not patient and vice versa.
If alice is not quiet then paul is either not rich or happy and vice versa.
Everyone who is not humble is either not genero... | Fred is curious. | neutral | (![X]:(strong(X)=>(~humble(X)|funny(X))))&
(![X]:((creative(X)&strong(X))<=>curious(X)))&
(![X]:((wise(X)<~>~old(X))<=>(generous(X)|~patient(X))))&
((~quiet(alice))<=>((~rich(paul)<~>happy(paul))))&
(![X]:(~humble(X)<=>(~generous(X)<~>~patient(X))))&
((?[X]:((~strong(X)<~>tall(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~t... | curious(fred) | [] | null | 0 |
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