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 brave is not quiet and vice versa.
Everyone who is either funny or not tall is funny or not tall and vice versa.
Everyone who is both tall and not curious is calm.
Everyone who is not generous or not brave is humble and vice versa.
Everyone who is both not generous and brave is ri... | Alice is creative. | entailment | (![X]:((~generous(X)<~>brave(X))<=>~quiet(X)))&
(![X]:((funny(X)<~>~tall(X))<=>(funny(X)|~tall(X))))&
(![X]:((tall(X)&~curious(X))=>calm(X)))&
(![X]:((~generous(X)|~brave(X))<=>humble(X)))&
(![X]:((~generous(X)&brave(X))<=>rich(X)))&
(![X]:(old(X)=>generous(X)))&
(![X]:((creative(X)&happy(X))<=>(happy(X)|curious(X))))&... | creative(alice) | [
"p2",
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6242581582892325432629577
% SZS output start Proof for 6242581582892325432629577
3. ! [X0] : ((~curious(X0) & tall(X0)) => calm(X0)) [input p2]
7. ! [X0] : ((happy(X0) & creative(X0)) <=> (curious(X0) | happy(X0))) [input p6]
21. tall(alice) & ~calm(alice) [input p20]
25. ~creative(alice)... | 0 |
If someone is both not quiet and quiet then mary is both quiet and not patient and vice versa. If alice is either quiet or not brave then paul is either strong or wise and vice versa. If someone is not rich then john is either not tall or happy and vice versa. Everyone who is either old or generous is either curious or... | Mary is quiet. | neutral | ((?[X]:((~quiet(X)&quiet(X))))<=>((quiet(mary)&~patient(mary))))&
(((quiet(alice)<~>~brave(alice)))<=>((strong(paul)<~>wise(paul))))&
((?[X]:(~rich(X)))<=>((~tall(john)<~>happy(john))))&
(![X]:((old(X)<~>generous(X))=>(curious(X)<~>~curious(X))))&
(![X]:((generous(X)&~rich(X))<=>(~old(X)&humble(X))))&
(![X]:(brave(X)<=... | quiet(mary) | [] | null | 0 |
Everyone who is curious or kind is either patient or generous.
If paul is both quiet and funny then lucy is both brave and not old.
If someone is not kind then someone is funny or not calm.
Everyone who is either not funny or kind is not rich or creative.
If someone is either not funny or curious then someone is not fu... | Alice is happy. | contradiction | (![X]:((curious(X)|kind(X))=>(patient(X)<~>generous(X))))&
(((quiet(paul)&funny(paul)))=>((brave(lucy)&~old(lucy))))&
((?[X]:(~kind(X)))=>(?[X]:((funny(X)|~calm(X)))))&
(![X]:((~funny(X)<~>kind(X))=>(~rich(X)|creative(X))))&
((?[X]:((~funny(X)<~>curious(X))))<=>(?[X]:((~funny(X)|~brave(X)))))&
(![X]:((happy(X)<~>~happy... | happy(alice) | [
"p0",
"p5",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3167441491369741919454587
% SZS output start Proof for 3167441491369741919454587
1. ! [X0] : ((kind(X0) | curious(X0)) => (patient(X0) <~> generous(X0))) [input p0]
6. ! [X0] : ((happy(X0) <~> ~happy(X0)) => (generous(X0) | wise(X0))) [input p5]
9. ! [X0] : ((~kind(X0) <~> wise(X0)) => (w... | 0 |
Everyone who is not generous is curious and vice versa.
If john is not old then paul is both creative and not brave.
Everyone who is both not quiet and not strong is not generous or humble and vice versa.
Everyone who is not strong or not curious is both not humble and not strong and vice versa.
Everyone who is either ... | Alice is wise. | neutral | (![X]:(~generous(X)<=>curious(X)))&
((~old(john))=>((creative(paul)&~brave(paul))))&
(![X]:((~quiet(X)&~strong(X))<=>(~generous(X)|humble(X))))&
(![X]:((~strong(X)|~curious(X))<=>(~humble(X)&~strong(X))))&
(![X]:((~creative(X)<~>curious(X))<=>curious(X)))&
(![X]:(strong(X)=>(calm(X)|kind(X))))&
((?[X]:(~tall(X)))<=>(?[... | wise(alice) | [] | null | 0 |
Everyone who is brave or not humble is either brave or not humble.
Everyone who is strong or curious is both rich and not patient.
If someone is creative or rich then someone is not rich or humble.
If lucy is either brave or not old then someone is either curious or calm.
Everyone who is either rich or quiet is not str... | John is rich. | entailment | (![X]:((brave(X)|~humble(X))=>(brave(X)<~>~humble(X))))&
(![X]:((strong(X)|curious(X))=>(rich(X)&~patient(X))))&
((?[X]:((creative(X)|rich(X))))=>(?[X]:((~rich(X)|humble(X)))))&
(((brave(lucy)<~>~old(lucy)))=>(?[X]:((curious(X)<~>calm(X)))))&
(![X]:((rich(X)<~>quiet(X))<=>~strong(X)))&
(((patient(susan)<~>~rich(susan))... | rich(john) | [
"p1",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7009678489642189090234103
% SZS output start Proof for 7009678489642189090234103
2. ! [X0] : ((curious(X0) | strong(X0)) => (~patient(X0) & rich(X0))) [input p1]
13. ! [X0] : ((~rich(X0) <~> ~tall(X0)) => rich(X0)) [input p12]
22. ~tall(john) <~> ~curious(john) [input p21]
24. ~rich(john)... | 0 |
If someone is either not calm or rich then lucy is not quiet or not creative.
If someone is humble then someone is not quiet or not calm.
Everyone who is either not rich or quiet is not generous.
Everyone who is funny is not humble or wise and vice versa.
If john is happy or calm then someone is either not tall or funn... | Fred is not calm. | neutral | ((?[X]:((~calm(X)<~>rich(X))))=>((~quiet(lucy)|~creative(lucy))))&
((?[X]:(humble(X)))=>(?[X]:((~quiet(X)|~calm(X)))))&
(![X]:((~rich(X)<~>quiet(X))=>~generous(X)))&
(![X]:(funny(X)<=>(~humble(X)|wise(X))))&
(((happy(john)|calm(john)))=>(?[X]:((~tall(X)<~>funny(X)))))&
(((generous(john)<~>~kind(john)))<=>((rich(mary)|g... | ~calm(fred) | [] | null | 0 |
If someone is both humble and tall then someone is either kind or not kind.
If mary is not tall then someone is both not funny and tall and vice versa.
Everyone who is not generous is old.
Everyone who is either not creative or humble is either not kind or not curious.
If paul is either not kind or wise then someone is... | John is not humble. | contradiction | ((?[X]:((humble(X)&tall(X))))=>(?[X]:((kind(X)<~>~kind(X)))))&
((~tall(mary))<=>(?[X]:((~funny(X)&tall(X)))))&
(![X]:(~generous(X)=>old(X)))&
(![X]:((~creative(X)<~>humble(X))=>(~kind(X)<~>~curious(X))))&
(((~kind(paul)<~>wise(paul)))<=>(?[X]:((calm(X)&funny(X)))))&
(((humble(fred)&~humble(fred)))=>(?[X]:((~wise(X)<~>~... | ~humble(john) | [
"p9",
"p12",
"p13",
"p14",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2630851654232776546305488
% SZS output start Proof for 2630851654232776546305488
10. ! [X0] : ((~old(X0) <~> ~strong(X0)) <=> (~brave(X0) | ~happy(X0))) [input p9]
13. ! [X0] : ((calm(X0) <~> strong(X0)) <=> (~old(X0) | humble(X0))) [input p12]
14. ! [X0] : ((brave(X0) <~> calm(X0)) <=> (... | 0 |
Everyone who is both curious and not strong is both not quiet and not generous and vice versa.
If someone is both rich and calm then someone is not brave and vice versa.
If someone is both not brave and not wise then susan is not strong or not rich.
Everyone who is either rich or not strong is both not generous and not... | Paul is not curious. | entailment | (![X]:((curious(X)&~strong(X))<=>(~quiet(X)&~generous(X))))&
((?[X]:((rich(X)&calm(X))))<=>(?[X]:(~brave(X))))&
((?[X]:((~brave(X)&~wise(X))))=>((~strong(susan)|~rich(susan))))&
(![X]:((rich(X)<~>~strong(X))<=>(~generous(X)&~kind(X))))&
(![X]:((calm(X)|~curious(X))=>~humble(X)))&
(![X]:(funny(X)<=>(kind(X)&~wise(X))))&... | ~curious(paul) | [
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 723938492976514868579730
% SZS output start Proof for 723938492976514868579730
6. ! [X0] : (funny(X0) <=> (~wise(X0) & kind(X0))) [input p5]
9. ! [X0] : ((~strong(X0) | brave(X0)) => (~brave(X0) <~> funny(X0))) [input p8]
12. ! [X0] : ((brave(X0) | curious(X0)) <=> (~kind(X0) & brave(X0))... | 0 |
If lucy is either old or calm then someone is either patient or not wise and vice versa. If alice is not wise then mary is both brave and calm and vice versa. If someone is humble or not old then john is both not rich and strong. If susan is old or not old then lucy is funny. Everyone who is not creative or not patient... | Mary is not quiet. | contradiction | (((old(lucy)<~>calm(lucy)))<=>(?[X]:((patient(X)<~>~wise(X)))))&
((~wise(alice))<=>((brave(mary)&calm(mary))))&
((?[X]:((humble(X)|~old(X))))=>((~rich(john)&strong(john))))&
(((old(susan)|~old(susan)))=>(funny(lucy)))&
(![X]:((~creative(X)|~patient(X))=>(~curious(X)&kind(X))))&
(![X]:(brave(X)<=>~kind(X)))&
(![X]:((cal... | ~quiet(mary) | [
"p4",
"p5",
"p6",
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5378256179098796186851542
% SZS output start Proof for 5378256179098796186851542
5. ! [X0] : ((~patient(X0) | ~creative(X0)) => (kind(X0) & ~curious(X0))) [input p4]
6. ! [X0] : (brave(X0) <=> ~kind(X0)) [input p5]
7. ! [X0] : ((~humble(X0) & calm(X0)) <=> (strong(X0) | kind(X0))) [input ... | 0 |
If someone is either patient or kind then fred is either not rich or brave.
If mary is patient or happy then mary is either quiet or strong.
Everyone who is either happy or old is either happy or not brave.
Everyone who is not brave is tall or brave and vice versa.
Everyone who is calm is not curious and vice versa.
If... | Paul is not rich. | entailment | ((?[X]:((patient(X)<~>kind(X))))=>((~rich(fred)<~>brave(fred))))&
(((patient(mary)|happy(mary)))=>((quiet(mary)<~>strong(mary))))&
(![X]:((happy(X)<~>old(X))=>(happy(X)<~>~brave(X))))&
(![X]:(~brave(X)<=>(tall(X)|brave(X))))&
(![X]:(calm(X)<=>~curious(X)))&
(((old(susan)<~>~patient(susan)))<=>((~calm(john)|curious(john... | ~rich(paul) | [
"p4",
"p6",
"p8",
"p13",
"p15",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 88488300005621587382622
% SZS output start Proof for 88488300005621587382622
5. ! [X0] : (calm(X0) <=> ~curious(X0)) [input p4]
7. ! [X0] : (old(X0) <=> (~rich(X0) <~> quiet(X0))) [input p6]
9. ! [X0] : (~calm(X0) => ~rich(X0)) [input p8]
14. ? [X0] : (~curious(X0) <~> creative(X0)) => ri... | 0 |
If susan is brave then paul is generous or not rich and vice versa.
Everyone who is either tall or not kind is both patient and strong and vice versa.
Everyone who is generous is both not tall and old and vice versa.
If lucy is old or not strong then susan is both old and not curious.
If susan is not kind then someone ... | Susan is tall. | contradiction | ((brave(susan))<=>((generous(paul)|~rich(paul))))&
(![X]:((tall(X)<~>~kind(X))<=>(patient(X)&strong(X))))&
(![X]:(generous(X)<=>(~tall(X)&old(X))))&
(((old(lucy)|~strong(lucy)))=>((old(susan)&~curious(susan))))&
((~kind(susan))<=>(?[X]:(creative(X))))&
((?[X]:((generous(X)|~old(X))))<=>(?[X]:(~kind(X))))&
(![X]:(~funny... | tall(susan) | [
"p2",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8871318985500693168872587
% SZS output start Proof for 8871318985500693168872587
3. ! [X0] : (generous(X0) <=> (old(X0) & ~tall(X0))) [input p2]
7. ! [X0] : (~funny(X0) <=> kind(X0)) [input p6]
8. ? [X0] : (~generous(X0) | wise(X0)) <=> (~brave(john) & kind(john)) [input p7]
14. ! [X0] : ... | 0 |
If someone is both wise and kind then someone is both tall and not curious.
Everyone who is wise or creative is either rich or curious.
If someone is either not creative or rich then john is either not kind or creative.
If someone is not old or curious then someone is not funny or not generous.
If fred is both not old ... | Fred is old. | contradiction | ((?[X]:((wise(X)&kind(X))))=>(?[X]:((tall(X)&~curious(X)))))&
(![X]:((wise(X)|creative(X))=>(rich(X)<~>curious(X))))&
((?[X]:((~creative(X)<~>rich(X))))=>((~kind(john)<~>creative(john))))&
((?[X]:((~old(X)|curious(X))))=>(?[X]:((~funny(X)|~generous(X)))))&
(((~old(fred)&happy(fred)))=>(?[X]:((quiet(X)|~rich(X)))))&
(((... | old(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3247596622092663989741900
% SZS output start Proof for 3247596622092663989741900
9. (quiet(paul) & ~quiet(paul)) <=> ? [X0] : old(X0) [input p8]
25. old(fred) [input hypothesis]
61. ((quiet(paul) & ~quiet(paul)) | ! [X0] : ~old(X0)) & (? [X0] : old(X0) | (~quiet(paul) | quiet(paul))) [nnf... | 0 |
Everyone who is either not patient or kind is either not generous or quiet.
If alice is not happy then someone is either curious or not brave and vice versa.
If someone is both old and not kind then someone is not curious or generous and vice versa.
If someone is either creative or quiet then someone is not old and vic... | Alice is not humble. | contradiction | (![X]:((~patient(X)<~>kind(X))=>(~generous(X)<~>quiet(X))))&
((~happy(alice))<=>(?[X]:((curious(X)<~>~brave(X)))))&
((?[X]:((old(X)&~kind(X))))<=>(?[X]:((~curious(X)|generous(X)))))&
((?[X]:((creative(X)<~>quiet(X))))<=>(?[X]:(~old(X))))&
(![X]:(~wise(X)<=>(quiet(X)|~creative(X))))&
(![X]:(~patient(X)=>(~calm(X)<~>~qui... | ~humble(alice) | [
"p1",
"p7",
"p8",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4921850262170633991757281
% SZS output start Proof for 4921850262170633991757281
2. ~happy(alice) <=> ? [X0] : (curious(X0) <~> ~brave(X0)) [input p1]
8. ! [X0] : (wise(X0) <=> (wise(X0) <~> ~wise(X0))) [input p7]
9. ! [X0] : (curious(X0) <=> (~happy(X0) | ~curious(X0))) [input p8]
16. ! ... | 0 |
Everyone who is either strong or humble is patient.
Everyone who is either not rich or creative is either rich or not tall.
If someone is either not wise or strong then fred is either not brave or not rich.
If paul is not quiet or not creative then someone is wise or not patient and vice versa.
Everyone who is either q... | Fred is not rich. | neutral | (![X]:((strong(X)<~>humble(X))=>patient(X)))&
(![X]:((~rich(X)<~>creative(X))=>(rich(X)<~>~tall(X))))&
((?[X]:((~wise(X)<~>strong(X))))=>((~brave(fred)<~>~rich(fred))))&
(((~quiet(paul)|~creative(paul)))<=>(?[X]:((wise(X)|~patient(X)))))&
(![X]:((quiet(X)<~>~quiet(X))=>(~brave(X)<~>tall(X))))&
(![X]:((brave(X)&~humble(... | ~rich(fred) | [] | null | 0 |
Everyone who is either creative or generous is both old and not rich and vice versa. Everyone who is not patient is both not old and quiet and vice versa. Everyone who is both not brave and strong is either wise or not humble. If mary is not strong then mary is either not kind or calm and vice versa. Everyone who is no... | Alice is curious. | contradiction | (![X]:((creative(X)<~>generous(X))<=>(old(X)&~rich(X))))&
(![X]:(~patient(X)<=>(~old(X)&quiet(X))))&
(![X]:((~brave(X)&strong(X))=>(wise(X)<~>~humble(X))))&
((~strong(mary))<=>((~kind(mary)<~>calm(mary))))&
(![X]:(~funny(X)<=>(~happy(X)<~>funny(X))))&
(![X]:((patient(X)|calm(X))<=>(~brave(X)<~>~strong(X))))&
(![X]:((ri... | curious(alice) | [
"p1",
"p7",
"p11",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6740821836519827927334773
% SZS output start Proof for 6740821836519827927334773
2. ! [X0] : (~patient(X0) <=> (quiet(X0) & ~old(X0))) [input p1]
8. ! [X0] : ((old(X0) | strong(X0)) <=> ~old(X0)) [input p7]
12. ! [X0] : ((calm(X0) <~> wise(X0)) => (kind(X0) & ~kind(X0))) [input p11]
13. (... | 0 |
If susan is not kind or not rich then fred is wise or old and vice versa.
Everyone who is either not creative or old is either not happy or not wise and vice versa.
Everyone who is either rich or strong is both humble and not strong.
Everyone who is not kind or generous is curious or not calm.
If john is not wise then ... | Mary is not strong. | entailment | (((~kind(susan)|~rich(susan)))<=>((wise(fred)|old(fred))))&
(![X]:((~creative(X)<~>old(X))<=>(~happy(X)<~>~wise(X))))&
(![X]:((rich(X)<~>strong(X))=>(humble(X)&~strong(X))))&
(![X]:((~kind(X)|generous(X))=>(curious(X)|~calm(X))))&
((~wise(john))=>((rich(paul)&patient(paul))))&
(![X]:(rich(X)=>(~rich(X)<~>generous(X))))... | ~strong(mary) | [
"p2",
"p3",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 118011506437494605822871
% SZS output start Proof for 118011506437494605822871
3. ! [X0] : ((rich(X0) <~> strong(X0)) => (~strong(X0) & humble(X0))) [input p2]
4. ! [X0] : ((generous(X0) | ~kind(X0)) => (~calm(X0) | curious(X0))) [input p3]
6. ! [X0] : (rich(X0) => (~rich(X0) <~> generous... | 0 |
Everyone who is rich is either not creative or quiet and vice versa.
Everyone who is generous is either humble or rich and vice versa.
Everyone who is brave is either not generous or not tall and vice versa.
Everyone who is both not happy and curious is either not curious or kind and vice versa.
Everyone who is not pat... | Lucy is humble. | entailment | (![X]:(rich(X)<=>(~creative(X)<~>quiet(X))))&
(![X]:(generous(X)<=>(humble(X)<~>rich(X))))&
(![X]:(brave(X)<=>(~generous(X)<~>~tall(X))))&
(![X]:((~happy(X)&curious(X))<=>(~curious(X)<~>kind(X))))&
(![X]:((~patient(X)|~happy(X))<=>(~calm(X)<~>curious(X))))&
(![X]:((~wise(X)<~>curious(X))<=>(~brave(X)|~tall(X))))&
((?[X... | humble(lucy) | [
"p0",
"p1",
"p3",
"p7",
"p8",
"p14",
"p15",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6910831223867245442967625
% SZS output start Proof for 6910831223867245442967625
1. ! [X0] : (rich(X0) <=> (~creative(X0) <~> quiet(X0))) [input p0]
2. ! [X0] : (generous(X0) <=> (humble(X0) <~> rich(X0))) [input p1]
4. ! [X0] : ((curious(X0) & ~happy(X0)) <=> (~curious(X0) <~> kind(X0)))... | 0 |
Everyone who is old is either rich or creative.
If someone is generous then someone is patient.
Everyone who is either tall or not rich is both patient and not wise.
If john is not humble then someone is either wise or brave and vice versa.
Everyone who is not rich or not curious is both not generous and not happy.
Eve... | Alice is wise. | contradiction | (![X]:(old(X)=>(rich(X)<~>creative(X))))&
((?[X]:(generous(X)))=>(?[X]:(patient(X))))&
(![X]:((tall(X)<~>~rich(X))=>(patient(X)&~wise(X))))&
((~humble(john))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((~rich(X)|~curious(X))=>(~generous(X)&~happy(X))))&
(![X]:((kind(X)|~tall(X))<=>happy(X)))&
(((~brave(alice)|generous(ali... | wise(alice) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3555410812108341203812296
% SZS output start Proof for 3555410812108341203812296
2. ? [X0] : generous(X0) => ? [X0] : patient(X0) [input p1]
3. ! [X0] : ((tall(X0) <~> ~rich(X0)) => (~wise(X0) & patient(X0))) [input p2]
5. ! [X0] : ((~curious(X0) | ~rich(X0)) => (~happy(X0) & ~generous(X0... | 0 |
If john is either old or tall then paul is both patient and strong and vice versa. Everyone who is either not happy or calm is not happy or generous. If paul is wise then someone is both not calm and not rich. If someone is not strong then paul is not brave or kind. If someone is creative then lucy is brave or not happ... | Fred is wise. | entailment | (((old(john)<~>tall(john)))<=>((patient(paul)&strong(paul))))&
(![X]:((~happy(X)<~>calm(X))=>(~happy(X)|generous(X))))&
((wise(paul))=>(?[X]:((~calm(X)&~rich(X)))))&
((?[X]:(~strong(X)))=>((~brave(paul)|kind(paul))))&
((?[X]:(creative(X)))<=>((brave(lucy)|~happy(lucy))))&
(![X]:((humble(X)<~>~wise(X))=>humble(X)))&
(![... | wise(fred) | [
"p5",
"p7",
"p10",
"p13",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7557600832232472352474767
% SZS output start Proof for 7557600832232472352474767
6. ! [X0] : ((humble(X0) <~> ~wise(X0)) => humble(X0)) [input p5]
8. ! [X0] : ((curious(X0) <~> ~kind(X0)) <=> (humble(X0) <~> happy(X0))) [input p7]
11. ! [X0] : ((~wise(X0) & curious(X0)) <=> (curious(X0) <... | 0 |
Everyone who is both funny and old is not patient or not strong and vice versa.
If someone is both funny and calm then paul is wise or not curious and vice versa.
If someone is both not rich and strong then john is both wise and curious.
If someone is both funny and not strong then someone is either not humble or funny... | John is curious. | neutral | (![X]:((funny(X)&old(X))<=>(~patient(X)|~strong(X))))&
((?[X]:((funny(X)&calm(X))))<=>((wise(paul)|~curious(paul))))&
((?[X]:((~rich(X)&strong(X))))=>((wise(john)&curious(john))))&
((?[X]:((funny(X)&~strong(X))))=>(?[X]:((~humble(X)<~>funny(X)))))&
(![X]:((~old(X)&happy(X))=>rich(X)))&
(((creative(susan)<~>calm(susan))... | curious(john) | [] | null | 0 |
Everyone who is not kind is either not wise or funny.
If someone is not curious or not kind then alice is either not patient or quiet.
Everyone who is either not wise or brave is either not rich or kind and vice versa.
If paul is not brave then susan is either funny or not calm.
Everyone who is not humble or calm is bo... | Lucy is wise. | neutral | (![X]:(~kind(X)=>(~wise(X)<~>funny(X))))&
((?[X]:((~curious(X)|~kind(X))))=>((~patient(alice)<~>quiet(alice))))&
(![X]:((~wise(X)<~>brave(X))<=>(~rich(X)<~>kind(X))))&
((~brave(paul))=>((funny(susan)<~>~calm(susan))))&
(![X]:((~humble(X)|calm(X))<=>(brave(X)&~kind(X))))&
(((~curious(susan)<~>happy(susan)))<=>(?[X]:((~w... | wise(lucy) | [] | null | 0 |
Everyone who is creative is either not curious or creative.
If someone is curious or not wise then someone is calm or patient.
Everyone who is generous is not rich.
Everyone who is either not humble or generous is creative or not old and vice versa.
Everyone who is funny or brave is either not quiet or funny.
Everyone ... | Alice is not generous. | contradiction | (![X]:(creative(X)=>(~curious(X)<~>creative(X))))&
((?[X]:((curious(X)|~wise(X))))=>(?[X]:((calm(X)|patient(X)))))&
(![X]:(generous(X)=>~rich(X)))&
(![X]:((~humble(X)<~>generous(X))<=>(creative(X)|~old(X))))&
(![X]:((funny(X)|brave(X))=>(~quiet(X)<~>funny(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>curious(X)))&
(((curiou... | ~generous(alice) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8481103581128360049763822
% SZS output start Proof for 8481103581128360049763822
24. generous(alice) & creative(alice) [input p23]
25. ~generous(alice) [input hypothesis]
124. generous(alice) [cnf transformation 24]
125. ~generous(alice) [cnf transformation 25]
239. $false [subsumption re... | 0 |
Everyone who is both not brave and not curious is funny or not wise and vice versa. If someone is not strong then john is happy or brave and vice versa. Everyone who is rich is either not patient or not quiet and vice versa. Everyone who is either curious or rich is rich and vice versa. Everyone who is both calm and cr... | John is not curious. | entailment | (![X]:((~brave(X)&~curious(X))<=>(funny(X)|~wise(X))))&
((?[X]:(~strong(X)))<=>((happy(john)|brave(john))))&
(![X]:(rich(X)<=>(~patient(X)<~>~quiet(X))))&
(![X]:((curious(X)<~>rich(X))<=>rich(X)))&
(![X]:((calm(X)&creative(X))=>(funny(X)&generous(X))))&
(![X]:(rich(X)<=>(wise(X)|~wise(X))))&
((?[X]:(rich(X)))<=>((~happ... | ~curious(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 488706454226923868741979
% SZS output start Proof for 488706454226923868741979
4. ! [X0] : ((curious(X0) <~> rich(X0)) <=> rich(X0)) [input p3]
22. curious(john) [input hypothesis]
40. ! [X0] : ((((~rich(X0) | ~curious(X0)) & (rich(X0) | curious(X0))) | ~rich(X0)) & (rich(X0) | ((curious(... | 0 |
If lucy is funny then someone is not curious.
If mary is not patient or not kind then paul is either not old or not kind.
If lucy is tall or strong then mary is generous or kind.
Everyone who is either not funny or tall is tall.
Everyone who is tall or not rich is either not strong or happy and vice versa.
If susan is ... | Paul is wise. | contradiction | ((funny(lucy))=>(?[X]:(~curious(X))))&
(((~patient(mary)|~kind(mary)))=>((~old(paul)<~>~kind(paul))))&
(((tall(lucy)|strong(lucy)))=>((generous(mary)|kind(mary))))&
(![X]:((~funny(X)<~>tall(X))=>tall(X)))&
(![X]:((tall(X)|~rich(X))<=>(~strong(X)<~>happy(X))))&
(((generous(susan)|~strong(susan)))<=>(?[X]:((kind(X)|stron... | wise(paul) | [
"p6",
"p8",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7244341863629147097224002
% SZS output start Proof for 7244341863629147097224002
7. ! [X0] : ((creative(X0) & ~patient(X0)) <=> (~brave(X0) <~> patient(X0))) [input p6]
9. ? [X0] : calm(X0) <=> (patient(susan) <~> ~generous(susan)) [input p8]
12. (calm(fred) & humble(fred)) <=> (wise(paul... | 0 |
If someone is not funny or not humble then someone is not happy and vice versa. Everyone who is not kind or old is both not tall and curious. If alice is either generous or not patient then someone is either tall or not wise. Everyone who is not curious is not generous or creative and vice versa. Everyone who is both p... | Alice is not tall. | entailment | ((?[X]:((~funny(X)|~humble(X))))<=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)|old(X))=>(~tall(X)&curious(X))))&
(((generous(alice)<~>~patient(alice)))=>(?[X]:((tall(X)<~>~wise(X)))))&
(![X]:(~curious(X)<=>(~generous(X)|creative(X))))&
(![X]:((patient(X)&~old(X))=>~kind(X)))&
(![X]:((~patient(X)&~calm(X))=>(calm(X)&~tall(X))... | ~tall(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5719002162591752348791665
% SZS output start Proof for 5719002162591752348791665
12. ! [X0] : ((~tall(X0) | generous(X0)) <=> ~generous(X0)) [input p11]
23. tall(alice) [input hypothesis]
59. ! [X0] : (((~tall(X0) | generous(X0)) | generous(X0)) & (~generous(X0) | (tall(X0) & ~generous(X0... | 0 |
If someone is both not creative and not generous then john is not tall or not wise and vice versa. Everyone who is not patient is not old and vice versa. Everyone who is not brave is not patient or calm and vice versa. Everyone who is not humble or wise is not strong or happy. If fred is both curious and not happy then... | Lucy is not brave. | contradiction | ((?[X]:((~creative(X)&~generous(X))))<=>((~tall(john)|~wise(john))))&
(![X]:(~patient(X)<=>~old(X)))&
(![X]:(~brave(X)<=>(~patient(X)|calm(X))))&
(![X]:((~humble(X)|wise(X))=>(~strong(X)|happy(X))))&
(((curious(fred)&~happy(fred)))<=>(?[X]:((~wise(X)<~>~tall(X)))))&
((?[X]:((rich(X)&quiet(X))))=>(?[X]:((~strong(X)<~>~o... | ~brave(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 771318849425641048630357
% SZS output start Proof for 771318849425641048630357
20. brave(lucy) [input p19]
23. ~brave(lucy) [input hypothesis]
129. brave(lucy) [cnf transformation 20]
133. ~brave(lucy) [cnf transformation 23]
293. $false [subsumption resolution 133,129]
% SZS output end P... | 0 |
If someone is both not wise and curious then john is both not humble and not funny.
Everyone who is old or strong is either brave or patient.
If alice is either strong or kind then someone is brave.
If susan is not wise or not old then paul is either not strong or not tall.
Everyone who is kind is either not kind or hu... | Alice is humble. | entailment | ((?[X]:((~wise(X)&curious(X))))=>((~humble(john)&~funny(john))))&
(![X]:((old(X)|strong(X))=>(brave(X)<~>patient(X))))&
(((strong(alice)<~>kind(alice)))=>(?[X]:(brave(X))))&
(((~wise(susan)|~old(susan)))=>((~strong(paul)<~>~tall(paul))))&
(![X]:(kind(X)<=>(~kind(X)<~>humble(X))))&
(![X]:(quiet(X)=>(~brave(X)&humble(X))... | humble(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5894141332609636260344062
% SZS output start Proof for 5894141332609636260344062
5. ! [X0] : (kind(X0) <=> (~kind(X0) <~> humble(X0))) [input p4]
25. ~humble(alice) [input hypothesis]
44. ! [X0] : ((kind(X0) | ((~kind(X0) | ~humble(X0)) & (humble(X0) | kind(X0)))) & (((~humble(X0) | kind(... | 0 |
Everyone who is not creative or happy is either not humble or not funny and vice versa. Everyone who is both creative and not curious is both not tall and not humble. Everyone who is both creative and not creative is generous and vice versa. If someone is tall then mary is happy. If someone is not patient then someone ... | Mary is not tall. | entailment | (![X]:((~creative(X)|happy(X))<=>(~humble(X)<~>~funny(X))))&
(![X]:((creative(X)&~curious(X))=>(~tall(X)&~humble(X))))&
(![X]:((creative(X)&~creative(X))<=>generous(X)))&
((?[X]:(tall(X)))=>(happy(mary)))&
((?[X]:(~patient(X)))=>(?[X]:((calm(X)|rich(X)))))&
(((humble(mary)<~>tall(mary)))=>(?[X]:((old(X)|~brave(X)))))&
... | ~tall(mary) | [
"p7",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5938724736278285687887822
% SZS output start Proof for 5938724736278285687887822
8. ! [X0] : ((creative(X0) | ~patient(X0)) <=> (~strong(X0) & ~old(X0))) [input p7]
11. ! [X0] : (~patient(X0) <=> (tall(X0) | ~rich(X0))) [input p10]
22. strong(mary) & ~kind(mary) [input p21]
25. tall(mary)... | 0 |
Everyone who is wise or brave is both not generous and funny and vice versa.
If susan is either creative or not humble then paul is not patient and vice versa.
Everyone who is either wise or patient is either not generous or not humble.
If susan is generous then susan is happy and vice versa.
If someone is both kind an... | Fred is not brave. | neutral | (![X]:((wise(X)|brave(X))<=>(~generous(X)&funny(X))))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>patient(X))=>(~generous(X)<~>~humble(X))))&
((generous(susan))<=>(happy(susan)))&
((?[X]:((kind(X)&~humble(X))))=>((~funny(fred)<~>creative(fred))))&
(![X]:((curious(X)|wise(X))=>~curious(... | ~brave(fred) | [] | null | 0 |
If someone is both kind and generous then someone is both not calm and not tall and vice versa. Everyone who is quiet or wise is either not humble or rich and vice versa. If susan is not generous or not wise then someone is not kind or creative and vice versa. Everyone who is not tall or strong is both tall and humble ... | Alice is not curious. | neutral | ((?[X]:((kind(X)&generous(X))))<=>(?[X]:((~calm(X)&~tall(X)))))&
(![X]:((quiet(X)|wise(X))<=>(~humble(X)<~>rich(X))))&
(((~generous(susan)|~wise(susan)))<=>(?[X]:((~kind(X)|creative(X)))))&
(![X]:((~tall(X)|strong(X))<=>(tall(X)&humble(X))))&
(![X]:((creative(X)&~tall(X))<=>(~wise(X)|funny(X))))&
(((~generous(fred)<~>w... | ~curious(alice) | [] | null | 0 |
If susan is either tall or strong then paul is strong or not calm.
If mary is patient or not humble then fred is generous and vice versa.
Everyone who is either old or happy is either creative or humble and vice versa.
If paul is both not rich and not kind then someone is funny or happy and vice versa.
Everyone who is ... | Paul is not kind. | entailment | (((tall(susan)<~>strong(susan)))=>((strong(paul)|~calm(paul))))&
(((patient(mary)|~humble(mary)))<=>(generous(fred)))&
(![X]:((old(X)<~>happy(X))<=>(creative(X)<~>humble(X))))&
(((~rich(paul)&~kind(paul)))<=>(?[X]:((funny(X)|happy(X)))))&
(![X]:((tall(X)<~>~quiet(X))<=>(~generous(X)&tall(X))))&
(![X]:((patient(X)|curio... | ~kind(paul) | [
"p3",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3791537676556202233300803
% SZS output start Proof for 3791537676556202233300803
4. (~kind(paul) & ~rich(paul)) <=> ? [X0] : (happy(X0) | funny(X0)) [input p3]
21. ~funny(alice) <~> ~happy(alice) [input p20]
22. ~wise(alice) & ~funny(alice) [input p21]
24. kind(paul) [input hypothesis]
38... | 0 |
If mary is happy or funny then someone is brave and vice versa. Everyone who is curious or strong is not funny. If someone is both tall and humble then someone is not rich or wise. If susan is calm then someone is both not calm and curious and vice versa. Everyone who is generous is kind or not generous and vice versa.... | Alice is not old. | contradiction | (((happy(mary)|funny(mary)))<=>(?[X]:(brave(X))))&
(![X]:((curious(X)|strong(X))=>~funny(X)))&
((?[X]:((tall(X)&humble(X))))=>(?[X]:((~rich(X)|wise(X)))))&
((calm(susan))<=>(?[X]:((~calm(X)&curious(X)))))&
(![X]:(generous(X)<=>(kind(X)|~generous(X))))&
(![X]:((~rich(X)<~>~tall(X))=>~rich(X)))&
(((~funny(alice)&~quiet(a... | ~old(alice) | [
"p4",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 139437283632449252401611
% SZS output start Proof for 139437283632449252401611
5. ! [X0] : (generous(X0) <=> (~generous(X0) | kind(X0))) [input p4]
9. ! [X0] : ((~humble(X0) | generous(X0)) => ~brave(X0)) [input p8]
11. ? [X0] : humble(X0) <=> ? [X0] : (~old(X0) | ~generous(X0)) [input p1... | 0 |
If mary is both not strong and not curious then fred is not strong or not curious and vice versa.
Everyone who is not funny is rich.
Everyone who is happy is both not creative and wise and vice versa.
Everyone who is either not rich or not old is either strong or patient.
If mary is not strong then someone is wise or q... | Paul is not happy. | entailment | (((~strong(mary)&~curious(mary)))<=>((~strong(fred)|~curious(fred))))&
(![X]:(~funny(X)=>rich(X)))&
(![X]:(happy(X)<=>(~creative(X)&wise(X))))&
(![X]:((~rich(X)<~>~old(X))=>(strong(X)<~>patient(X))))&
((~strong(mary))=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((~happy(X)&~tall(X))=>(tall(X)<~>happy(X))))&
((?[X]:(~patient(X... | ~happy(paul) | [
"p2",
"p7",
"p8",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2834032511816702268539114
% SZS output start Proof for 2834032511816702268539114
3. ! [X0] : (happy(X0) <=> (wise(X0) & ~creative(X0))) [input p2]
8. ! [X0] : ((~strong(X0) <~> quiet(X0)) <=> (~happy(X0) & ~humble(X0))) [input p7]
9. (humble(mary) <~> wise(mary)) <=> ? [X0] : (rich(X0) <~... | 0 |
If someone is both tall and humble then susan is either not generous or curious. Everyone who is not tall is not happy and vice versa. Everyone who is either quiet or rich is either not strong or quiet and vice versa. Everyone who is both not curious and quiet is both not happy and old. If john is not calm then lucy is... | Alice is old. | neutral | ((?[X]:((tall(X)&humble(X))))=>((~generous(susan)<~>curious(susan))))&
(![X]:(~tall(X)<=>~happy(X)))&
(![X]:((quiet(X)<~>rich(X))<=>(~strong(X)<~>quiet(X))))&
(![X]:((~curious(X)&quiet(X))=>(~happy(X)&old(X))))&
((~calm(john))=>(happy(lucy)))&
(![X]:(quiet(X)=>(kind(X)|curious(X))))&
(![X]:((~kind(X)<~>~happy(X))<=>(hu... | old(alice) | [] | null | 0 |
Everyone who is either calm or not tall is tall.
Everyone who is both not calm and not humble is both not old and quiet and vice versa.
Everyone who is both not humble and tall is kind.
Everyone who is quiet is rich.
If someone is both old and quiet then someone is both not patient and happy and vice versa.
If someone ... | Susan is brave. | neutral | (![X]:((calm(X)<~>~tall(X))=>tall(X)))&
(![X]:((~calm(X)&~humble(X))<=>(~old(X)&quiet(X))))&
(![X]:((~humble(X)&tall(X))=>kind(X)))&
(![X]:(quiet(X)=>rich(X)))&
((?[X]:((old(X)&quiet(X))))<=>(?[X]:((~patient(X)&happy(X)))))&
((?[X]:((kind(X)&~brave(X))))<=>((~old(susan)|~wise(susan))))&
(((~humble(susan)<~>happy(susan)... | brave(susan) | [] | null | 0 |
If someone is humble then someone is not curious or kind.
Everyone who is both funny and not creative is either generous or not tall and vice versa.
If someone is both funny and humble then alice is both calm and not kind and vice versa.
If paul is creative then alice is strong or tall.
Everyone who is not tall is happ... | Susan is happy. | neutral | ((?[X]:(humble(X)))=>(?[X]:((~curious(X)|kind(X)))))&
(![X]:((funny(X)&~creative(X))<=>(generous(X)<~>~tall(X))))&
((?[X]:((funny(X)&humble(X))))<=>((calm(alice)&~kind(alice))))&
((creative(paul))=>((strong(alice)|tall(alice))))&
(![X]:(~tall(X)<=>happy(X)))&
(![X]:((~calm(X)<~>kind(X))=>~kind(X)))&
((~calm(paul))=>(?[... | happy(susan) | [] | null | 0 |
If someone is not funny then someone is both not kind and strong and vice versa.
If someone is rich or not happy then susan is both not funny and not calm.
If paul is either not brave or creative then someone is either humble or not generous.
Everyone who is both not strong and quiet is both quiet and not kind.
Everyon... | Fred is not rich. | neutral | ((?[X]:(~funny(X)))<=>(?[X]:((~kind(X)&strong(X)))))&
((?[X]:((rich(X)|~happy(X))))=>((~funny(susan)&~calm(susan))))&
(((~brave(paul)<~>creative(paul)))=>(?[X]:((humble(X)<~>~generous(X)))))&
(![X]:((~strong(X)&quiet(X))=>(quiet(X)&~kind(X))))&
(![X]:(~generous(X)<=>(~calm(X)<~>~rich(X))))&
(![X]:((quiet(X)<~>~generous... | ~rich(fred) | [] | null | 0 |
If someone is not strong or tall then someone is happy or humble. Everyone who is not happy is both not rich and happy. If mary is curious then mary is happy or not generous. If mary is both happy and not rich then fred is either kind or tall and vice versa. If alice is both generous and not funny then someone is old o... | Susan is not creative. | entailment | ((?[X]:((~strong(X)|tall(X))))=>(?[X]:((happy(X)|humble(X)))))&
(![X]:(~happy(X)=>(~rich(X)&happy(X))))&
((curious(mary))=>((happy(mary)|~generous(mary))))&
(((happy(mary)&~rich(mary)))<=>((kind(fred)<~>tall(fred))))&
(((generous(alice)&~funny(alice)))=>(?[X]:((old(X)|~funny(X)))))&
((?[X]:((~humble(X)<~>~funny(X))))<=... | ~creative(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 880320284271884085966300
% SZS output start Proof for 880320284271884085966300
9. ! [X0] : ((creative(X0) | wise(X0)) => (~rich(X0) & ~creative(X0))) [input p8]
25. creative(susan) [input hypothesis]
35. ! [X0] : ((~rich(X0) & ~creative(X0)) | (~creative(X0) & ~wise(X0))) [ennf transforma... | 0 |
If paul is both kind and not rich then someone is both rich and not tall.
If someone is both creative and tall then susan is tall and vice versa.
Everyone who is both not calm and not old is patient and vice versa.
Everyone who is both patient and not curious is either happy or not quiet and vice versa.
If someone is f... | Fred is quiet. | neutral | (((kind(paul)&~rich(paul)))=>(?[X]:((rich(X)&~tall(X)))))&
((?[X]:((creative(X)&tall(X))))<=>(tall(susan)))&
(![X]:((~calm(X)&~old(X))<=>patient(X)))&
(![X]:((patient(X)&~curious(X))<=>(happy(X)<~>~quiet(X))))&
((?[X]:((funny(X)|quiet(X))))<=>(?[X]:((rich(X)&creative(X)))))&
(![X]:(~patient(X)=>(~strong(X)<~>~creative(... | quiet(fred) | [] | null | 0 |
Everyone who is patient or kind is not rich. If someone is kind or not quiet then someone is either wise or humble and vice versa. If susan is both not calm and quiet then someone is not patient and vice versa. If someone is both creative and generous then someone is strong or not happy and vice versa. Everyone who is ... | Alice is not tall. | contradiction | (![X]:((patient(X)|kind(X))=>~rich(X)))&
((?[X]:((kind(X)|~quiet(X))))<=>(?[X]:((wise(X)<~>humble(X)))))&
(((~calm(susan)&quiet(susan)))<=>(?[X]:(~patient(X))))&
((?[X]:((creative(X)&generous(X))))<=>(?[X]:((strong(X)|~happy(X)))))&
(![X]:(calm(X)<=>~wise(X)))&
((?[X]:(quiet(X)))=>((~tall(alice)<~>~old(alice))))&
(![X]... | ~tall(alice) | [
"p2",
"p5",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3740493118653441121156292
% SZS output start Proof for 3740493118653441121156292
3. (quiet(susan) & ~calm(susan)) <=> ? [X0] : ~patient(X0) [input p2]
6. ? [X0] : quiet(X0) => (~tall(alice) <~> ~old(alice)) [input p5]
14. ! [X0] : (old(X0) <=> (~tall(X0) & ~old(X0))) [input p13]
19. ? [X0... | 0 |
Everyone who is either not brave or not tall is both wise and not kind and vice versa. Everyone who is both wise and patient is either not wise or funny. If susan is both old and not curious then someone is humble. Everyone who is not wise is creative and vice versa. Everyone who is calm or happy is both not creative a... | Paul is not generous. | contradiction | (![X]:((~brave(X)<~>~tall(X))<=>(wise(X)&~kind(X))))&
(![X]:((wise(X)&patient(X))=>(~wise(X)<~>funny(X))))&
(((old(susan)&~curious(susan)))=>(?[X]:(humble(X))))&
(![X]:(~wise(X)<=>creative(X)))&
(![X]:((calm(X)|happy(X))<=>(~creative(X)&~happy(X))))&
((?[X]:((~funny(X)|~brave(X))))<=>(?[X]:((~calm(X)<~>kind(X)))))&
((?... | ~generous(paul) | [
"p0",
"p3",
"p4",
"p7",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5953383127987058465803816
% SZS output start Proof for 5953383127987058465803816
1. ! [X0] : ((~brave(X0) <~> ~tall(X0)) <=> (~kind(X0) & wise(X0))) [input p0]
4. ! [X0] : (~wise(X0) <=> creative(X0)) [input p3]
5. ! [X0] : ((happy(X0) | calm(X0)) <=> (~happy(X0) & ~creative(X0))) [input ... | 0 |
If paul is old or not quiet then john is either not humble or patient and vice versa. If someone is both not generous and not funny then someone is not quiet. Everyone who is quiet or not curious is both not funny and generous and vice versa. If fred is both humble and not creative then someone is brave or not curious ... | Mary is creative. | contradiction | (((old(paul)|~quiet(paul)))<=>((~humble(john)<~>patient(john))))&
((?[X]:((~generous(X)&~funny(X))))=>(?[X]:(~quiet(X))))&
(![X]:((quiet(X)|~curious(X))<=>(~funny(X)&generous(X))))&
(((humble(fred)&~creative(fred)))<=>(?[X]:((brave(X)|~curious(X)))))&
((generous(fred))<=>(funny(john)))&
(![X]:(~strong(X)<=>(creative(X)... | creative(mary) | [
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4730029136550855706568952
% SZS output start Proof for 4730029136550855706568952
6. ! [X0] : (~strong(X0) <=> (~generous(X0) | creative(X0))) [input p5]
8. ! [X0] : ((~old(X0) & strong(X0)) <=> (~generous(X0) | ~happy(X0))) [input p7]
10. ! [X0] : ((~creative(X0) & happy(X0)) <=> (generou... | 0 |
If someone is not strong then someone is either old or not brave and vice versa. Everyone who is not generous or not wise is brave. If john is happy or humble then lucy is both not patient and happy and vice versa. If someone is old or not brave then someone is not wise or brave. If someone is either funny or strong th... | Alice is not rich. | entailment | ((?[X]:(~strong(X)))<=>(?[X]:((old(X)<~>~brave(X)))))&
(![X]:((~generous(X)|~wise(X))=>brave(X)))&
(((happy(john)|humble(john)))<=>((~patient(lucy)&happy(lucy))))&
((?[X]:((old(X)|~brave(X))))=>(?[X]:((~wise(X)|brave(X)))))&
((?[X]:((funny(X)<~>strong(X))))<=>((~rich(john)<~>~kind(john))))&
(![X]:(humble(X)=>(~tall(X)<... | ~rich(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5028554356242455924981586
% SZS output start Proof for 5028554356242455924981586
11. ! [X0] : (rich(X0) <=> (~rich(X0) & patient(X0))) [input p10]
25. rich(alice) [input hypothesis]
59. ! [X0] : ((rich(X0) | (rich(X0) | ~patient(X0))) & ((~rich(X0) & patient(X0)) | ~rich(X0))) [nnf transf... | 0 |
Everyone who is quiet is either tall or generous and vice versa.
If mary is not kind then lucy is not funny or not patient.
Everyone who is not brave or not funny is both not calm and creative and vice versa.
Everyone who is not strong or patient is either happy or not quiet and vice versa.
Everyone who is both not ric... | Alice is not wise. | entailment | (![X]:(quiet(X)<=>(tall(X)<~>generous(X))))&
((~kind(mary))=>((~funny(lucy)|~patient(lucy))))&
(![X]:((~brave(X)|~funny(X))<=>(~calm(X)&creative(X))))&
(![X]:((~strong(X)|patient(X))<=>(happy(X)<~>~quiet(X))))&
(![X]:((~rich(X)&brave(X))<=>(wise(X)|quiet(X))))&
((?[X]:((patient(X)&~quiet(X))))=>((brave(fred)&~old(fred)... | ~wise(alice) | [
"p4",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7033705588115759798959757
% SZS output start Proof for 7033705588115759798959757
5. ! [X0] : ((brave(X0) & ~rich(X0)) <=> (quiet(X0) | wise(X0))) [input p4]
10. ~curious(lucy) <=> rich(alice) [input p9]
22. happy(lucy) & ~curious(lucy) [input p21]
25. wise(alice) [input hypothesis]
39. ! ... | 0 |
Everyone who is both wise and kind is either not old or brave.
Everyone who is not generous is calm and vice versa.
Everyone who is either not generous or not rich is not kind and vice versa.
If paul is either generous or patient then someone is not tall or not generous and vice versa.
If someone is strong then mary is... | Susan is kind. | entailment | (![X]:((wise(X)&kind(X))=>(~old(X)<~>brave(X))))&
(![X]:(~generous(X)<=>calm(X)))&
(![X]:((~generous(X)<~>~rich(X))<=>~kind(X)))&
(((generous(paul)<~>patient(paul)))<=>(?[X]:((~tall(X)|~generous(X)))))&
((?[X]:(strong(X)))=>((curious(mary)<~>~calm(mary))))&
(![X]:(~brave(X)=>(~happy(X)|~funny(X))))&
(![X]:((~wise(X)|br... | kind(susan) | [
"p1",
"p3",
"p6",
"p7",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8675779520783065566538147
% SZS output start Proof for 8675779520783065566538147
2. ! [X0] : (~generous(X0) <=> calm(X0)) [input p1]
4. (generous(paul) <~> patient(paul)) <=> ? [X0] : (~generous(X0) | ~tall(X0)) [input p3]
7. ! [X0] : ((brave(X0) | ~wise(X0)) <=> calm(X0)) [input p6]
8. ?... | 0 |
If someone is either not quiet or calm then someone is not strong or strong and vice versa. Everyone who is either brave or not rich is brave and vice versa. Everyone who is generous is either old or not patient. If someone is either kind or not brave then someone is not curious and vice versa. If john is generous then... | Paul is not quiet. | neutral | ((?[X]:((~quiet(X)<~>calm(X))))<=>(?[X]:((~strong(X)|strong(X)))))&
(![X]:((brave(X)<~>~rich(X))<=>brave(X)))&
(![X]:(generous(X)=>(old(X)<~>~patient(X))))&
((?[X]:((kind(X)<~>~brave(X))))<=>(?[X]:(~curious(X))))&
((generous(john))<=>(?[X]:((happy(X)&tall(X)))))&
(((strong(fred)<~>humble(fred)))=>((rich(john)<~>~patien... | ~quiet(paul) | [] | null | 0 |
Everyone who is strong or kind is both not humble and not funny and vice versa.
If someone is either not humble or old then someone is both kind and not generous and vice versa.
If someone is both tall and brave then someone is generous or not wise and vice versa.
If fred is not creative or strong then alice is both ki... | Fred is not kind. | entailment | (![X]:((strong(X)|kind(X))<=>(~humble(X)&~funny(X))))&
((?[X]:((~humble(X)<~>old(X))))<=>(?[X]:((kind(X)&~generous(X)))))&
((?[X]:((tall(X)&brave(X))))<=>(?[X]:((generous(X)|~wise(X)))))&
(((~creative(fred)|strong(fred)))=>((kind(alice)&~tall(alice))))&
(![X]:(~kind(X)<=>~humble(X)))&
(![X]:(humble(X)=>(strong(X)|~calm... | ~kind(fred) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1051597004531501865956369
% SZS output start Proof for 1051597004531501865956369
1. ! [X0] : ((kind(X0) | strong(X0)) <=> (~funny(X0) & ~humble(X0))) [input p0]
5. ! [X0] : (~kind(X0) <=> ~humble(X0)) [input p4]
22. kind(fred) [input hypothesis]
36. ! [X0] : (((kind(X0) | strong(X0)) | (f... | 0 |
If someone is kind then mary is both wise and not calm. If john is both not calm and quiet then someone is not creative and vice versa. If john is humble or not creative then someone is both not quiet and funny and vice versa. Everyone who is tall or funny is both kind and happy. Everyone who is rich is either not funn... | Lucy is not brave. | contradiction | ((?[X]:(kind(X)))=>((wise(mary)&~calm(mary))))&
(((~calm(john)&quiet(john)))<=>(?[X]:(~creative(X))))&
(((humble(john)|~creative(john)))<=>(?[X]:((~quiet(X)&funny(X)))))&
(![X]:((tall(X)|funny(X))=>(kind(X)&happy(X))))&
(![X]:(rich(X)<=>(~funny(X)<~>~happy(X))))&
((?[X]:((tall(X)|~curious(X))))<=>(?[X]:((funny(X)<~>tal... | ~brave(lucy) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2847371806243684323242215
% SZS output start Proof for 2847371806243684323242215
9. ! [X0] : ((~old(X0) | calm(X0)) <=> old(X0)) [input p8]
11. ? [X0] : (~old(X0) <~> ~brave(X0)) <=> (~calm(fred) & ~wise(fred)) [input p10]
24. ~brave(lucy) [input hypothesis]
55. ! [X0] : (((~old(X0) | cal... | 0 |
If john is either tall or rich then fred is either not happy or not creative and vice versa. Everyone who is patient or creative is both not generous and humble. Everyone who is not wise or humble is generous and vice versa. If lucy is generous or not quiet then lucy is not tall. If fred is either patient or not genero... | Mary is tall. | neutral | (((tall(john)<~>rich(john)))<=>((~happy(fred)<~>~creative(fred))))&
(![X]:((patient(X)|creative(X))=>(~generous(X)&humble(X))))&
(![X]:((~wise(X)|humble(X))<=>generous(X)))&
(((generous(lucy)|~quiet(lucy)))=>(~tall(lucy)))&
(((patient(fred)<~>~generous(fred)))=>(rich(alice)))&
(![X]:((~curious(X)|~patient(X))=>(~wise(X... | tall(mary) | [] | null | 0 |
Everyone who is both not quiet and rich is brave or not brave and vice versa.
Everyone who is not wise or patient is old or not humble and vice versa.
Everyone who is either not happy or not generous is old.
If mary is either not happy or not calm then susan is not tall.
Everyone who is curious or not curious is genero... | Fred is wise. | contradiction | (![X]:((~quiet(X)&rich(X))<=>(brave(X)|~brave(X))))&
(![X]:((~wise(X)|patient(X))<=>(old(X)|~humble(X))))&
(![X]:((~happy(X)<~>~generous(X))=>old(X)))&
(((~happy(mary)<~>~calm(mary)))=>(~tall(susan)))&
(![X]:((curious(X)|~curious(X))=>generous(X)))&
((?[X]:((strong(X)|humble(X))))<=>(?[X]:((kind(X)&generous(X)))))&
(![... | wise(fred) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6127199199790466686870353
% SZS output start Proof for 6127199199790466686870353
1. ! [X0] : ((rich(X0) & ~quiet(X0)) <=> (~brave(X0) | brave(X0))) [input p0]
11. ? [X0] : (wise(X0) | humble(X0)) <=> ~rich(fred) [input p10]
23. wise(fred) [input hypothesis]
33. ! [X0] : (((rich(X0) & ~qui... | 0 |
Everyone who is either rich or curious is both humble and not wise and vice versa.
Everyone who is not happy or funny is both not humble and not wise.
Everyone who is not tall or wise is either not quiet or not kind and vice versa.
Everyone who is not wise is not humble or kind and vice versa.
Everyone who is both rich... | Paul is kind. | neutral | (![X]:((rich(X)<~>curious(X))<=>(humble(X)&~wise(X))))&
(![X]:((~happy(X)|funny(X))=>(~humble(X)&~wise(X))))&
(![X]:((~tall(X)|wise(X))<=>(~quiet(X)<~>~kind(X))))&
(![X]:(~wise(X)<=>(~humble(X)|kind(X))))&
(![X]:((rich(X)&~funny(X))<=>(humble(X)<~>old(X))))&
(![X]:((brave(X)|~generous(X))<=>(~rich(X)|happy(X))))&
((?[X... | kind(paul) | [] | null | 0 |
If someone is rich then paul is not happy.
If someone is both humble and quiet then mary is strong or patient and vice versa.
Everyone who is brave or generous is either not funny or not generous and vice versa.
Everyone who is either not creative or curious is both not rich and happy.
If someone is either creative or ... | Fred is funny. | contradiction | ((?[X]:(rich(X)))=>(~happy(paul)))&
((?[X]:((humble(X)&quiet(X))))<=>((strong(mary)|patient(mary))))&
(![X]:((brave(X)|generous(X))<=>(~funny(X)<~>~generous(X))))&
(![X]:((~creative(X)<~>curious(X))=>(~rich(X)&happy(X))))&
((?[X]:((creative(X)<~>brave(X))))<=>(?[X]:((~funny(X)&~kind(X)))))&
(![X]:((~wise(X)&old(X))=>(~... | funny(fred) | [
"p2",
"p3",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2015794130249982452634682
% SZS output start Proof for 2015794130249982452634682
3. ! [X0] : ((generous(X0) | brave(X0)) <=> (~funny(X0) <~> ~generous(X0))) [input p2]
4. ! [X0] : ((~creative(X0) <~> curious(X0)) => (happy(X0) & ~rich(X0))) [input p3]
7. ! [X0] : ((~calm(X0) & generous(X0... | 0 |
Everyone who is happy is quiet.
If someone is both tall and not quiet then someone is both not creative and not wise.
If someone is either not tall or not happy then someone is quiet.
If fred is old then susan is either happy or not happy.
If someone is either not wise or not patient then alice is both not tall and not... | Lucy is not brave. | contradiction | (![X]:(happy(X)=>quiet(X)))&
((?[X]:((tall(X)&~quiet(X))))=>(?[X]:((~creative(X)&~wise(X)))))&
((?[X]:((~tall(X)<~>~happy(X))))=>(?[X]:(quiet(X))))&
((old(fred))=>((happy(susan)<~>~happy(susan))))&
((?[X]:((~wise(X)<~>~patient(X))))<=>((~tall(alice)&~funny(alice))))&
((~humble(fred))<=>(?[X]:((funny(X)<~>~generous(X)))... | ~brave(lucy) | [
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 474148234946459599146963
% SZS output start Proof for 474148234946459599146963
7. ! [X0] : ((~wise(X0) | ~patient(X0)) <=> wise(X0)) [input p6]
8. ! [X0] : (~curious(X0) <=> (brave(X0) & patient(X0))) [input p7]
10. ? [X0] : (~wise(X0) | ~brave(X0)) => (~curious(alice) & ~kind(alice)) [in... | 0 |
Everyone who is either not creative or wise is both calm and not patient and vice versa.
If susan is happy or calm then lucy is kind or not tall and vice versa.
If alice is either not rich or not quiet then someone is creative or not curious.
If someone is both not humble and not generous then paul is not generous.
Eve... | Mary is not calm. | entailment | (![X]:((~creative(X)<~>wise(X))<=>(calm(X)&~patient(X))))&
(((happy(susan)|calm(susan)))<=>((kind(lucy)|~tall(lucy))))&
(((~rich(alice)<~>~quiet(alice)))=>(?[X]:((creative(X)|~curious(X)))))&
((?[X]:((~humble(X)&~generous(X))))=>(~generous(paul)))&
(![X]:((calm(X)&strong(X))=>(~quiet(X)|quiet(X))))&
(![X]:((~rich(X)&cu... | ~calm(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7040595164623850836801611
% SZS output start Proof for 7040595164623850836801611
15. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (~rich(X0) | calm(X0))) [input p14]
25. calm(mary) [input hypothesis]
59. ! [X0] : (((quiet(X0) & ~quiet(X0)) | (rich(X0) & ~calm(X0))) & ((~rich(X0) | calm(X0)) | (... | 0 |
Everyone who is not brave is both not brave and not creative.
Everyone who is both not tall and not humble is both not curious and not tall and vice versa.
Everyone who is not brave or not generous is both not kind and strong and vice versa.
Everyone who is both not humble and not generous is curious and vice versa.
Ev... | Paul is rich. | entailment | (![X]:(~brave(X)=>(~brave(X)&~creative(X))))&
(![X]:((~tall(X)&~humble(X))<=>(~curious(X)&~tall(X))))&
(![X]:((~brave(X)|~generous(X))<=>(~kind(X)&strong(X))))&
(![X]:((~humble(X)&~generous(X))<=>curious(X)))&
(![X]:(wise(X)=>~strong(X)))&
(![X]:((~calm(X)&rich(X))=>(~brave(X)|calm(X))))&
(![X]:((~patient(X)|rich(X))<=... | rich(paul) | [
"p1",
"p3",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 86929422312664244711205
% SZS output start Proof for 86929422312664244711205
2. ! [X0] : ((~humble(X0) & ~tall(X0)) <=> (~tall(X0) & ~curious(X0))) [input p1]
4. ! [X0] : ((~generous(X0) & ~humble(X0)) <=> curious(X0)) [input p3]
9. ? [X0] : ~rich(X0) <=> ? [X0] : curious(X0) [input p8]
1... | 0 |
Everyone who is not happy or not quiet is both not humble and not funny and vice versa. Everyone who is not kind or strong is humble or quiet and vice versa. If mary is old or generous then someone is tall and vice versa. Everyone who is quiet or kind is brave and vice versa. If paul is both humble and not strong then ... | Mary is humble. | neutral | (![X]:((~happy(X)|~quiet(X))<=>(~humble(X)&~funny(X))))&
(![X]:((~kind(X)|strong(X))<=>(humble(X)|quiet(X))))&
(((old(mary)|generous(mary)))<=>(?[X]:(tall(X))))&
(![X]:((quiet(X)|kind(X))<=>brave(X)))&
(((humble(paul)&~strong(paul)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:(humble(X)=>(humble(X)<~>~wise(X))))&
(![X]:((~wis... | humble(mary) | [] | null | 0 |
If someone is not creative then someone is both not kind and curious.
If someone is both quiet and not quiet then someone is both old and creative and vice versa.
If mary is either not strong or creative then someone is either kind or brave and vice versa.
If mary is not creative or not curious then someone is both not... | John is humble. | neutral | ((?[X]:(~creative(X)))=>(?[X]:((~kind(X)&curious(X)))))&
((?[X]:((quiet(X)&~quiet(X))))<=>(?[X]:((old(X)&creative(X)))))&
(((~strong(mary)<~>creative(mary)))<=>(?[X]:((kind(X)<~>brave(X)))))&
(((~creative(mary)|~curious(mary)))=>(?[X]:((~strong(X)&~kind(X)))))&
(![X]:(~creative(X)<=>(~quiet(X)&tall(X))))&
(![X]:((creat... | humble(john) | [] | null | 0 |
Everyone who is both not funny and tall is not generous or not happy and vice versa.
If paul is either quiet or not quiet then paul is not funny or not curious.
If susan is either strong or creative then fred is both not brave and not kind.
Everyone who is wise is either quiet or not rich and vice versa.
Everyone who i... | Fred is not quiet. | neutral | (![X]:((~funny(X)&tall(X))<=>(~generous(X)|~happy(X))))&
(((quiet(paul)<~>~quiet(paul)))=>((~funny(paul)|~curious(paul))))&
(((strong(susan)<~>creative(susan)))=>((~brave(fred)&~kind(fred))))&
(![X]:(wise(X)<=>(quiet(X)<~>~rich(X))))&
(![X]:((strong(X)&curious(X))<=>(~wise(X)<~>old(X))))&
((strong(susan))=>(?[X]:((~kin... | ~quiet(fred) | [] | null | 0 |
Everyone who is both not happy and brave is both strong and not wise and vice versa.
Everyone who is either patient or quiet is kind or calm and vice versa.
Everyone who is both not patient and strong is either not creative or not tall and vice versa.
Everyone who is generous is either generous or curious.
If someone i... | John is not generous. | entailment | (![X]:((~happy(X)&brave(X))<=>(strong(X)&~wise(X))))&
(![X]:((patient(X)<~>quiet(X))<=>(kind(X)|calm(X))))&
(![X]:((~patient(X)&strong(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:(generous(X)=>(generous(X)<~>curious(X))))&
((?[X]:((~curious(X)<~>curious(X))))<=>(humble(paul)))&
(![X]:((~rich(X)|~calm(X))<=>(~calm(X)<~>~br... | ~generous(john) | [
"p0",
"p3",
"p5",
"p6",
"p8",
"p10",
"p11",
"p12",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8153647200820319703244
% SZS output start Proof for 8153647200820319703244
1. ! [X0] : ((brave(X0) & ~happy(X0)) <=> (~wise(X0) & strong(X0))) [input p0]
4. ! [X0] : (generous(X0) => (generous(X0) <~> curious(X0))) [input p3]
6. ! [X0] : ((~calm(X0) | ~rich(X0)) <=> (~calm(X0) <~> ~brave(... | 0 |
Everyone who is either not kind or not brave is either happy or not wise and vice versa. If someone is both not kind and not happy then lucy is kind or not creative and vice versa. Everyone who is either wise or kind is not old or not funny. Everyone who is not creative or not happy is generous. Everyone who is either ... | Lucy is not old. | neutral | (![X]:((~kind(X)<~>~brave(X))<=>(happy(X)<~>~wise(X))))&
((?[X]:((~kind(X)&~happy(X))))<=>((kind(lucy)|~creative(lucy))))&
(![X]:((wise(X)<~>kind(X))=>(~old(X)|~funny(X))))&
(![X]:((~creative(X)|~happy(X))=>generous(X)))&
(![X]:((humble(X)<~>old(X))<=>(~curious(X)&~humble(X))))&
(![X]:((patient(X)|~generous(X))=>rich(X... | ~old(lucy) | [] | null | 0 |
If someone is not old or tall then susan is both humble and not quiet. Everyone who is either kind or not strong is humble or not rich and vice versa. Everyone who is either generous or not calm is both not curious and not old and vice versa. If paul is both kind and creative then fred is not calm. Everyone who is eith... | Alice is brave. | entailment | ((?[X]:((~old(X)|tall(X))))=>((humble(susan)&~quiet(susan))))&
(![X]:((kind(X)<~>~strong(X))<=>(humble(X)|~rich(X))))&
(![X]:((generous(X)<~>~calm(X))<=>(~curious(X)&~old(X))))&
(((kind(paul)&creative(paul)))=>(~calm(fred)))&
(![X]:((happy(X)<~>creative(X))<=>(~old(X)<~>~curious(X))))&
(![X]:((rich(X)&~wise(X))<=>(~ric... | brave(alice) | [
"p0",
"p1",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 924996175110809259909970
% SZS output start Proof for 924996175110809259909970
1. ? [X0] : (tall(X0) | ~old(X0)) => (~quiet(susan) & humble(susan)) [input p0]
2. ! [X0] : ((kind(X0) <~> ~strong(X0)) <=> (~rich(X0) | humble(X0))) [input p1]
8. ! [X0] : (kind(X0) <=> ~strong(X0)) [input p7]... | 0 |
Everyone who is not generous is happy or not brave.
Everyone who is rich or not creative is both patient and not tall and vice versa.
Everyone who is either not quiet or not kind is wise or not curious.
If someone is either funny or patient then someone is not patient and vice versa.
Everyone who is either not quiet or... | Susan is strong. | neutral | (![X]:(~generous(X)=>(happy(X)|~brave(X))))&
(![X]:((rich(X)|~creative(X))<=>(patient(X)&~tall(X))))&
(![X]:((~quiet(X)<~>~kind(X))=>(wise(X)|~curious(X))))&
((?[X]:((funny(X)<~>patient(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~quiet(X)<~>tall(X))=>quiet(X)))&
(![X]:((creative(X)&~wise(X))=>(wise(X)<~>calm(X))))&
((?[X]:... | strong(susan) | [] | null | 0 |
If someone is creative then john is quiet or old.
Everyone who is not creative or strong is either not quiet or humble and vice versa.
Everyone who is not brave is creative and vice versa.
Everyone who is not funny or humble is both calm and rich.
If john is either not quiet or not generous then john is creative.
If so... | Fred is wise. | entailment | ((?[X]:(creative(X)))=>((quiet(john)|old(john))))&
(![X]:((~creative(X)|strong(X))<=>(~quiet(X)<~>humble(X))))&
(![X]:(~brave(X)<=>creative(X)))&
(![X]:((~funny(X)|humble(X))=>(calm(X)&rich(X))))&
(((~quiet(john)<~>~generous(john)))=>(creative(john)))&
((?[X]:((~brave(X)&patient(X))))<=>((kind(fred)&~humble(fred))))&
(... | wise(fred) | [
"p1",
"p2",
"p3",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1013840362585577959739679
% SZS output start Proof for 1013840362585577959739679
2. ! [X0] : ((strong(X0) | ~creative(X0)) <=> (~quiet(X0) <~> humble(X0))) [input p1]
3. ! [X0] : (~brave(X0) <=> creative(X0)) [input p2]
4. ! [X0] : ((humble(X0) | ~funny(X0)) => (rich(X0) & calm(X0))) [inp... | 0 |
Everyone who is old or not old is calm and vice versa. If someone is patient then mary is patient. If someone is not brave or kind then lucy is both not creative and not humble and vice versa. Everyone who is wise is either not funny or not calm. Everyone who is either not generous or curious is either not funny or not... | Lucy is not calm. | contradiction | (![X]:((old(X)|~old(X))<=>calm(X)))&
((?[X]:(patient(X)))=>(patient(mary)))&
((?[X]:((~brave(X)|kind(X))))<=>((~creative(lucy)&~humble(lucy))))&
(![X]:(wise(X)=>(~funny(X)<~>~calm(X))))&
(![X]:((~generous(X)<~>curious(X))=>(~funny(X)<~>~calm(X))))&
((?[X]:(~patient(X)))=>((patient(fred)<~>brave(fred))))&
(![X]:((~creat... | ~calm(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1219507177677192752942123
% SZS output start Proof for 1219507177677192752942123
1. ! [X0] : ((~old(X0) | old(X0)) <=> calm(X0)) [input p0]
25. ~calm(lucy) [input hypothesis]
40. ! [X0] : (((~old(X0) | old(X0)) | ~calm(X0)) & (calm(X0) | (old(X0) & ~old(X0)))) [nnf transformation 1]
41. !... | 0 |
If mary is not kind then someone is rich and vice versa. If someone is not generous then someone is not funny and vice versa. If someone is either not brave or not old then someone is not strong or kind and vice versa. Everyone who is strong is tall or humble. Everyone who is both not generous and tall is generous or q... | Lucy is not generous. | entailment | ((~kind(mary))<=>(?[X]:(rich(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(~funny(X))))&
((?[X]:((~brave(X)<~>~old(X))))<=>(?[X]:((~strong(X)|kind(X)))))&
(![X]:(strong(X)=>(tall(X)|humble(X))))&
(![X]:((~generous(X)&tall(X))<=>(generous(X)|quiet(X))))&
(![X]:(~humble(X)<=>(happy(X)|~funny(X))))&
(![X]:((~kind(X)&rich(X))<=>~... | ~generous(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8352380912870922115700489
% SZS output start Proof for 8352380912870922115700489
5. ! [X0] : ((tall(X0) & ~generous(X0)) <=> (quiet(X0) | generous(X0))) [input p4]
24. generous(lucy) [input hypothesis]
50. ! [X0] : (((tall(X0) & ~generous(X0)) | (~quiet(X0) & ~generous(X0))) & ((quiet(X0)... | 0 |
If someone is strong or kind then alice is funny and vice versa. Everyone who is either wise or calm is funny. If paul is not brave then someone is not curious and vice versa. Everyone who is patient or quiet is both old and not humble. Everyone who is happy or creative is either curious or not old and vice versa. Ever... | Fred is not old. | neutral | ((?[X]:((strong(X)|kind(X))))<=>(funny(alice)))&
(![X]:((wise(X)<~>calm(X))=>funny(X)))&
((~brave(paul))<=>(?[X]:(~curious(X))))&
(![X]:((patient(X)|quiet(X))=>(old(X)&~humble(X))))&
(![X]:((happy(X)|creative(X))<=>(curious(X)<~>~old(X))))&
(![X]:((quiet(X)&~funny(X))=>(~kind(X)|rich(X))))&
(![X]:((~calm(X)&~humble(X))... | ~old(fred) | [] | null | 0 |
Everyone who is not creative is both creative and happy and vice versa.
If someone is quiet or wise then susan is both not brave and not wise.
If someone is both not old and strong then someone is both not calm and brave and vice versa.
Everyone who is strong or not quiet is not happy or not rich.
If someone is generou... | Fred is not happy. | entailment | (![X]:(~creative(X)<=>(creative(X)&happy(X))))&
((?[X]:((quiet(X)|wise(X))))=>((~brave(susan)&~wise(susan))))&
((?[X]:((~old(X)&strong(X))))<=>(?[X]:((~calm(X)&brave(X)))))&
(![X]:((strong(X)|~quiet(X))=>(~happy(X)|~rich(X))))&
((?[X]:(generous(X)))<=>((~happy(mary)<~>rich(mary))))&
(((~brave(john)|~happy(john)))<=>(?[... | ~happy(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8672374082275296251677723
% SZS output start Proof for 8672374082275296251677723
1. ! [X0] : (~creative(X0) <=> (happy(X0) & creative(X0))) [input p0]
22. happy(fred) [input hypothesis]
36. ! [X0] : ((~creative(X0) | (~happy(X0) | ~creative(X0))) & ((happy(X0) & creative(X0)) | creative(X... | 0 |
Everyone who is both not brave and not calm is patient. Everyone who is generous or calm is old and vice versa. If someone is either not rich or not generous then someone is both not happy and old and vice versa. Everyone who is curious or not rich is either not humble or not quiet and vice versa. If alice is curious t... | Fred is not strong. | entailment | (![X]:((~brave(X)&~calm(X))=>patient(X)))&
(![X]:((generous(X)|calm(X))<=>old(X)))&
((?[X]:((~rich(X)<~>~generous(X))))<=>(?[X]:((~happy(X)&old(X)))))&
(![X]:((curious(X)|~rich(X))<=>(~humble(X)<~>~quiet(X))))&
((curious(alice))<=>(?[X]:((generous(X)<~>curious(X)))))&
(![X]:((~generous(X)&~quiet(X))<=>~calm(X)))&
(![X]... | ~strong(fred) | [
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6783910929968962428945096
% SZS output start Proof for 6783910929968962428945096
19. ~wise(fred) & ~funny(fred) [input p18]
23. ~strong(fred) <~> funny(fred) [input p22]
25. strong(fred) [input hypothesis]
84. (~funny(fred) | strong(fred)) & (funny(fred) | ~strong(fred)) [nnf transformati... | 0 |
If paul is both quiet and not old then someone is not patient or not brave and vice versa.
Everyone who is both curious and not tall is either funny or quiet.
If someone is either happy or rich then john is either creative or curious.
If susan is both not curious and not calm then someone is tall or not quiet and vice ... | Susan is calm. | contradiction | (((quiet(paul)&~old(paul)))<=>(?[X]:((~patient(X)|~brave(X)))))&
(![X]:((curious(X)&~tall(X))=>(funny(X)<~>quiet(X))))&
((?[X]:((happy(X)<~>rich(X))))=>((creative(john)<~>curious(john))))&
(((~curious(susan)&~calm(susan)))<=>(?[X]:((tall(X)|~quiet(X)))))&
(![X]:((~patient(X)<~>~rich(X))<=>(~rich(X)|~strong(X))))&
(![X]... | calm(susan) | [
"p3",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2153933563051467236230815
% SZS output start Proof for 2153933563051467236230815
4. (~calm(susan) & ~curious(susan)) <=> ? [X0] : (~quiet(X0) | tall(X0)) [input p3]
20. tall(fred) [input p19]
24. calm(susan) [input hypothesis]
41. ((~calm(susan) & ~curious(susan)) | ! [X0] : (quiet(X0) & ... | 0 |
Everyone who is both happy and not old is either not curious or not rich and vice versa.
If someone is both not calm and not humble then lucy is both not funny and not curious.
Everyone who is either not strong or patient is calm or patient.
Everyone who is either not kind or not quiet is not strong.
If someone is eith... | Alice is kind. | neutral | (![X]:((happy(X)&~old(X))<=>(~curious(X)<~>~rich(X))))&
((?[X]:((~calm(X)&~humble(X))))=>((~funny(lucy)&~curious(lucy))))&
(![X]:((~strong(X)<~>patient(X))=>(calm(X)|patient(X))))&
(![X]:((~kind(X)<~>~quiet(X))=>~strong(X)))&
((?[X]:((~quiet(X)<~>old(X))))<=>((~quiet(lucy)|tall(lucy))))&
(![X]:((~tall(X)<~>~calm(X))=>(... | kind(alice) | [] | null | 0 |
Everyone who is either tall or rich is both rich and not strong and vice versa. If alice is funny then paul is not old or strong. Everyone who is happy is not patient and vice versa. Everyone who is not quiet or rich is curious. Everyone who is either curious or not patient is funny. Everyone who is brave or humble is ... | Fred is generous. | contradiction | (![X]:((tall(X)<~>rich(X))<=>(rich(X)&~strong(X))))&
((funny(alice))=>((~old(paul)|strong(paul))))&
(![X]:(happy(X)<=>~patient(X)))&
(![X]:((~quiet(X)|rich(X))=>curious(X)))&
(![X]:((curious(X)<~>~patient(X))=>funny(X)))&
(![X]:((brave(X)|humble(X))<=>(humble(X)&~humble(X))))&
(![X]:((~strong(X)<~>~quiet(X))=>~calm(X))... | generous(fred) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2229690577314777360976003
% SZS output start Proof for 2229690577314777360976003
6. ! [X0] : ((humble(X0) | brave(X0)) <=> (~humble(X0) & humble(X0))) [input p5]
8. ! [X0] : (generous(X0) <=> (generous(X0) & humble(X0))) [input p7]
23. generous(fred) [input hypothesis]
43. ! [X0] : (((hum... | 0 |
If paul is either not old or not wise then paul is either not patient or not wise. If someone is both not strong and brave then john is both patient and not creative and vice versa. If someone is either not tall or not old then someone is happy. Everyone who is either kind or wise is either not kind or not brave and vi... | John is not curious. | contradiction | (((~old(paul)<~>~wise(paul)))=>((~patient(paul)<~>~wise(paul))))&
((?[X]:((~strong(X)&brave(X))))<=>((patient(john)&~creative(john))))&
((?[X]:((~tall(X)<~>~old(X))))=>(?[X]:(happy(X))))&
(![X]:((kind(X)<~>wise(X))<=>(~kind(X)<~>~brave(X))))&
((?[X]:((humble(X)&old(X))))<=>((~tall(john)|~wise(john))))&
((~kind(alice))<... | ~curious(john) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5906605581534702814552944
% SZS output start Proof for 5906605581534702814552944
14. ! [X0] : ((strong(X0) | ~brave(X0)) => (curious(X0) & ~rich(X0))) [input p13]
16. ! [X0] : (~brave(X0) <=> (~strong(X0) | happy(X0))) [input p15]
23. ~curious(john) [input hypothesis]
35. ! [X0] : ((curio... | 0 |
If susan is not funny or not old then fred is curious and vice versa. Everyone who is kind is both patient and tall and vice versa. Everyone who is both not happy and tall is both curious and creative. Everyone who is not creative is either not kind or not rich and vice versa. If someone is both not strong and kind the... | Paul is not funny. | entailment | (((~funny(susan)|~old(susan)))<=>(curious(fred)))&
(![X]:(kind(X)<=>(patient(X)&tall(X))))&
(![X]:((~happy(X)&tall(X))=>(curious(X)&creative(X))))&
(![X]:(~creative(X)<=>(~kind(X)<~>~rich(X))))&
((?[X]:((~strong(X)&kind(X))))=>(quiet(alice)))&
(![X]:((brave(X)|quiet(X))<=>(~creative(X)|~brave(X))))&
(((wise(susan)<~>~h... | ~funny(paul) | [
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5855238225235188336514466
% SZS output start Proof for 5855238225235188336514466
6. ! [X0] : ((quiet(X0) | brave(X0)) <=> (~brave(X0) | ~creative(X0))) [input p5]
8. ! [X0] : ((~generous(X0) | generous(X0)) <=> (creative(X0) & humble(X0))) [input p7]
9. ! [X0] : ((humble(X0) <~> ~quiet(X0... | 0 |
If someone is both kind and calm then lucy is both not creative and not wise. If fred is both happy and not curious then alice is both generous and not creative and vice versa. If someone is rich or not brave then someone is not tall and vice versa. If someone is not funny or quiet then someone is not quiet. If someone... | Mary is kind. | contradiction | ((?[X]:((kind(X)&calm(X))))=>((~creative(lucy)&~wise(lucy))))&
(((happy(fred)&~curious(fred)))<=>((generous(alice)&~creative(alice))))&
((?[X]:((rich(X)|~brave(X))))<=>(?[X]:(~tall(X))))&
((?[X]:((~funny(X)|quiet(X))))=>(?[X]:(~quiet(X))))&
((?[X]:(~old(X)))=>((generous(mary)<~>brave(mary))))&
(![X]:(~curious(X)=>(~gen... | kind(mary) | [
"p4",
"p7",
"p10",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7127560135145434023641264
% SZS output start Proof for 7127560135145434023641264
5. ? [X0] : ~old(X0) => (generous(mary) <~> brave(mary)) [input p4]
8. ! [X0] : (patient(X0) <=> creative(X0)) [input p7]
11. ! [X0] : ((~calm(X0) | wise(X0)) <=> (patient(X0) & ~kind(X0))) [input p10]
13. ! ... | 0 |
Everyone who is either creative or kind is either humble or not rich.
Everyone who is either wise or humble is either not quiet or humble.
Everyone who is patient or not wise is strong or brave.
If someone is quiet then fred is either kind or tall and vice versa.
If someone is happy then mary is happy or generous and v... | Mary is humble. | contradiction | (![X]:((creative(X)<~>kind(X))=>(humble(X)<~>~rich(X))))&
(![X]:((wise(X)<~>humble(X))=>(~quiet(X)<~>humble(X))))&
(![X]:((patient(X)|~wise(X))=>(strong(X)|brave(X))))&
((?[X]:(quiet(X)))<=>((kind(fred)<~>tall(fred))))&
((?[X]:(happy(X)))<=>((happy(mary)|generous(mary))))&
(![X]:((~funny(X)<~>~humble(X))=>(~tall(X)&tal... | humble(mary) | [
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8610569002307157886638656
% SZS output start Proof for 8610569002307157886638656
6. ! [X0] : ((~funny(X0) <~> ~humble(X0)) => (tall(X0) & ~tall(X0))) [input p5]
8. ! [X0] : (happy(X0) <=> (kind(X0) | ~kind(X0))) [input p7]
9. ? [X0] : ~happy(X0) <=> ? [X0] : (funny(X0) | patient(X0)) [inp... | 0 |
If john is not calm then mary is not kind or happy.
Everyone who is not funny or not wise is both funny and not humble.
If someone is humble or not tall then someone is either not tall or not patient.
Everyone who is both not strong and not tall is either not creative or funny and vice versa.
If fred is both tall and h... | John is patient. | neutral | ((~calm(john))=>((~kind(mary)|happy(mary))))&
(![X]:((~funny(X)|~wise(X))=>(funny(X)&~humble(X))))&
((?[X]:((humble(X)|~tall(X))))=>(?[X]:((~tall(X)<~>~patient(X)))))&
(![X]:((~strong(X)&~tall(X))<=>(~creative(X)<~>funny(X))))&
(((tall(fred)&humble(fred)))=>(?[X]:((kind(X)<~>~strong(X)))))&
((?[X]:((funny(X)<~>curious(... | patient(john) | [] | null | 0 |
If someone is either kind or brave then someone is either funny or strong. Everyone who is either not wise or funny is creative or not happy. If lucy is not humble or not old then susan is both not old and not patient. Everyone who is either old or wise is both not calm and not tall and vice versa. Everyone who is eith... | Alice is funny. | entailment | ((?[X]:((kind(X)<~>brave(X))))=>(?[X]:((funny(X)<~>strong(X)))))&
(![X]:((~wise(X)<~>funny(X))=>(creative(X)|~happy(X))))&
(((~humble(lucy)|~old(lucy)))=>((~old(susan)&~patient(susan))))&
(![X]:((old(X)<~>wise(X))<=>(~calm(X)&~tall(X))))&
(![X]:((~humble(X)<~>~old(X))<=>(~tall(X)<~>~quiet(X))))&
(((creative(alice)&~cur... | funny(alice) | [
"p6",
"p12",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3356972959157713092793551
% SZS output start Proof for 3356972959157713092793551
7. ! [X0] : (~funny(X0) => (~humble(X0) & ~happy(X0))) [input p6]
13. ! [X0] : ((~funny(X0) | rich(X0)) => (generous(X0) | happy(X0))) [input p12]
21. ~curious(alice) & tall(alice) [input p20]
24. curious(ali... | 0 |
Everyone who is either funny or not curious is either not tall or generous and vice versa.
If someone is kind then lucy is tall and vice versa.
Everyone who is both not rich and not generous is wise or not old.
If lucy is both calm and old then someone is either not brave or not old and vice versa.
If someone is either... | Lucy is calm. | neutral | (![X]:((funny(X)<~>~curious(X))<=>(~tall(X)<~>generous(X))))&
((?[X]:(kind(X)))<=>(tall(lucy)))&
(![X]:((~rich(X)&~generous(X))=>(wise(X)|~old(X))))&
(((calm(lucy)&old(lucy)))<=>(?[X]:((~brave(X)<~>~old(X)))))&
((?[X]:((~tall(X)<~>old(X))))=>(?[X]:((tall(X)&~rich(X)))))&
(![X]:((quiet(X)<~>rich(X))=>(~brave(X)|tall(X))... | calm(lucy) | [] | null | 0 |
Everyone who is either quiet or tall is both not strong and wise.
Everyone who is kind or strong is either not tall or not quiet.
Everyone who is rich or not patient is either not generous or quiet and vice versa.
Everyone who is either tall or not creative is strong or patient and vice versa.
Everyone who is either no... | John is not patient. | contradiction | (![X]:((quiet(X)<~>tall(X))=>(~strong(X)&wise(X))))&
(![X]:((kind(X)|strong(X))=>(~tall(X)<~>~quiet(X))))&
(![X]:((rich(X)|~patient(X))<=>(~generous(X)<~>quiet(X))))&
(![X]:((tall(X)<~>~creative(X))<=>(strong(X)|patient(X))))&
(![X]:((~wise(X)<~>~funny(X))<=>kind(X)))&
((?[X]:((happy(X)<~>wise(X))))<=>(?[X]:((wise(X)&~... | ~patient(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3220482374897906890409059
% SZS output start Proof for 3220482374897906890409059
9. ! [X0] : ((~patient(X0) | ~funny(X0)) <=> (patient(X0) & creative(X0))) [input p8]
23. ~patient(john) [input hypothesis]
48. ! [X0] : (((~patient(X0) | ~funny(X0)) | (~patient(X0) | ~creative(X0))) & ((pat... | 0 |
If someone is both not creative and not funny then mary is generous or happy.
Everyone who is both patient and not curious is patient and vice versa.
If someone is tall or not happy then paul is brave.
Everyone who is either rich or not old is either quiet or not curious.
If someone is quiet then someone is both patien... | Fred is calm. | neutral | ((?[X]:((~creative(X)&~funny(X))))=>((generous(mary)|happy(mary))))&
(![X]:((patient(X)&~curious(X))<=>patient(X)))&
((?[X]:((tall(X)|~happy(X))))=>(brave(paul)))&
(![X]:((rich(X)<~>~old(X))=>(quiet(X)<~>~curious(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((patient(X)&~strong(X)))))&
(((~generous(lucy)&~humble(lucy)))<=>(?[X]:(... | calm(fred) | [] | null | 0 |
Everyone who is patient is old or not generous and vice versa. If alice is curious then someone is wise. Everyone who is not brave or not funny is both not generous and not strong. If someone is not wise or rich then someone is old or not brave and vice versa. Everyone who is either not happy or not tall is both curiou... | Fred is not brave. | contradiction | (![X]:(patient(X)<=>(old(X)|~generous(X))))&
((curious(alice))=>(?[X]:(wise(X))))&
(![X]:((~brave(X)|~funny(X))=>(~generous(X)&~strong(X))))&
((?[X]:((~wise(X)|rich(X))))<=>(?[X]:((old(X)|~brave(X)))))&
(![X]:((~happy(X)<~>~tall(X))<=>(curious(X)&strong(X))))&
(![X]:((~patient(X)<~>strong(X))<=>(kind(X)&~funny(X))))&
(... | ~brave(fred) | [
"p0",
"p2",
"p4",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4958450868746012553527529
% SZS output start Proof for 4958450868746012553527529
1. ! [X0] : (patient(X0) <=> (~generous(X0) | old(X0))) [input p0]
3. ! [X0] : ((~funny(X0) | ~brave(X0)) => (~strong(X0) & ~generous(X0))) [input p2]
5. ! [X0] : ((~happy(X0) <~> ~tall(X0)) <=> (strong(X0) &... | 0 |
If someone is either not wise or funny then fred is not humble.
If alice is both quiet and humble then alice is both not curious and funny.
If fred is not funny or happy then susan is not calm.
Everyone who is either happy or not happy is not creative.
Everyone who is either not funny or not rich is either curious or n... | Mary is not strong. | contradiction | ((?[X]:((~wise(X)<~>funny(X))))=>(~humble(fred)))&
(((quiet(alice)&humble(alice)))=>((~curious(alice)&funny(alice))))&
(((~funny(fred)|happy(fred)))=>(~calm(susan)))&
(![X]:((happy(X)<~>~happy(X))=>~creative(X)))&
(![X]:((~funny(X)<~>~rich(X))=>(curious(X)<~>~wise(X))))&
((?[X]:(kind(X)))=>(?[X]:(funny(X))))&
(![X]:(pa... | ~strong(mary) | [
"p3",
"p4",
"p8",
"p10",
"p11",
"p14",
"p15",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 627823263503042634188166
% SZS output start Proof for 627823263503042634188166
4. ! [X0] : ((happy(X0) <~> ~happy(X0)) => ~creative(X0)) [input p3]
5. ! [X0] : ((~funny(X0) <~> ~rich(X0)) => (curious(X0) <~> ~wise(X0))) [input p4]
9. ! [X0] : ((funny(X0) & ~creative(X0)) <=> ~strong(X0)) ... | 0 |
Everyone who is either not old or old is both brave and kind and vice versa. Everyone who is happy or not patient is not patient. Everyone who is both not quiet and not brave is not patient or funny. Everyone who is both not calm and creative is not humble or not creative and vice versa. Everyone who is either wise or ... | Alice is not rich. | entailment | (![X]:((~old(X)<~>old(X))<=>(brave(X)&kind(X))))&
(![X]:((happy(X)|~patient(X))=>~patient(X)))&
(![X]:((~quiet(X)&~brave(X))=>(~patient(X)|funny(X))))&
(![X]:((~calm(X)&creative(X))<=>(~humble(X)|~creative(X))))&
(![X]:((wise(X)<~>~quiet(X))=>~patient(X)))&
(![X]:((~creative(X)<~>~kind(X))<=>(rich(X)|~patient(X))))&
((... | ~rich(alice) | [
"p0",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 55414517257697728018733
% SZS output start Proof for 55414517257697728018733
1. ! [X0] : ((~old(X0) <~> old(X0)) <=> (kind(X0) & brave(X0))) [input p0]
4. ! [X0] : ((creative(X0) & ~calm(X0)) <=> (~creative(X0) | ~humble(X0))) [input p3]
6. ! [X0] : ((~creative(X0) <~> ~kind(X0)) <=> (~pa... | 0 |
Everyone who is curious is both strong and creative and vice versa. If susan is calm or not humble then fred is not wise and vice versa. Everyone who is not creative or not happy is both not patient and not kind. If someone is either not quiet or not funny then someone is curious. If someone is either not creative or n... | Paul is happy. | entailment | (![X]:(curious(X)<=>(strong(X)&creative(X))))&
(((calm(susan)|~humble(susan)))<=>(~wise(fred)))&
(![X]:((~creative(X)|~happy(X))=>(~patient(X)&~kind(X))))&
((?[X]:((~quiet(X)<~>~funny(X))))=>(?[X]:(curious(X))))&
((?[X]:((~creative(X)<~>~happy(X))))<=>(~old(susan)))&
(![X]:((~happy(X)<~>~funny(X))=>~creative(X)))&
((?[... | happy(paul) | [
"p2",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 96337807482879507981562
% SZS output start Proof for 96337807482879507981562
3. ! [X0] : ((~happy(X0) | ~creative(X0)) => (~kind(X0) & ~patient(X0))) [input p2]
12. ! [X0] : ((~creative(X0) <~> patient(X0)) => (~happy(X0) & ~brave(X0))) [input p11]
15. ! [X0] : ((creative(X0) | ~brave(X0)... | 0 |
Everyone who is both not humble and brave is both humble and old and vice versa.
If someone is wise then mary is both curious and kind.
If lucy is either not rich or not happy then someone is both not quiet and not happy.
Everyone who is both rich and not quiet is either tall or not quiet.
Everyone who is tall is both ... | Alice is not funny. | contradiction | (![X]:((~humble(X)&brave(X))<=>(humble(X)&old(X))))&
((?[X]:(wise(X)))=>((curious(mary)&kind(mary))))&
(((~rich(lucy)<~>~happy(lucy)))=>(?[X]:((~quiet(X)&~happy(X)))))&
(![X]:((rich(X)&~quiet(X))=>(tall(X)<~>~quiet(X))))&
(![X]:(tall(X)=>(rich(X)&old(X))))&
(![X]:((calm(X)|~calm(X))=>(brave(X)&wise(X))))&
(((~happy(joh... | ~funny(alice) | [
"p5",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8791146322940069198266470
% SZS output start Proof for 8791146322940069198266470
6. ! [X0] : ((~calm(X0) | calm(X0)) => (wise(X0) & brave(X0))) [input p5]
9. ! [X0] : ((calm(X0) & ~funny(X0)) => (creative(X0) & ~wise(X0))) [input p8]
10. ! [X0] : (~generous(X0) <=> (generous(X0) & creativ... | 0 |
Everyone who is not brave is either brave or not kind. If someone is humble or wise then someone is either tall or brave and vice versa. If fred is not calm then someone is not humble or not funny and vice versa. Everyone who is both not brave and not rich is not old and vice versa. Everyone who is either quiet or stro... | Fred is quiet. | neutral | (![X]:(~brave(X)=>(brave(X)<~>~kind(X))))&
((?[X]:((humble(X)|wise(X))))<=>(?[X]:((tall(X)<~>brave(X)))))&
((~calm(fred))<=>(?[X]:((~humble(X)|~funny(X)))))&
(![X]:((~brave(X)&~rich(X))<=>~old(X)))&
(![X]:((quiet(X)<~>strong(X))<=>(~strong(X)|~humble(X))))&
(![X]:(~wise(X)<=>(funny(X)&old(X))))&
(![X]:((tall(X)<~>~tall... | quiet(fred) | [] | null | 0 |
If mary is not humble or not kind then paul is either not patient or curious. Everyone who is calm or wise is either quiet or brave and vice versa. Everyone who is patient or not happy is either not happy or not kind. If someone is either not strong or old then susan is both not calm and not curious. If someone is not ... | Mary is curious. | neutral | (((~humble(mary)|~kind(mary)))=>((~patient(paul)<~>curious(paul))))&
(![X]:((calm(X)|wise(X))<=>(quiet(X)<~>brave(X))))&
(![X]:((patient(X)|~happy(X))=>(~happy(X)<~>~kind(X))))&
((?[X]:((~strong(X)<~>old(X))))=>((~calm(susan)&~curious(susan))))&
((?[X]:(~quiet(X)))<=>((~happy(alice)&~wise(alice))))&
(![X]:((~calm(X)&~c... | curious(mary) | [] | null | 0 |
Everyone who is either creative or humble is tall and vice versa.
If someone is either tall or old then someone is both not creative and not kind.
If someone is not quiet then mary is not generous or not tall.
Everyone who is either generous or happy is both old and not creative.
If someone is not kind then paul is eit... | Alice is not funny. | entailment | (![X]:((creative(X)<~>humble(X))<=>tall(X)))&
((?[X]:((tall(X)<~>old(X))))=>(?[X]:((~creative(X)&~kind(X)))))&
((?[X]:(~quiet(X)))=>((~generous(mary)|~tall(mary))))&
(![X]:((generous(X)<~>happy(X))=>(old(X)&~creative(X))))&
((?[X]:(~kind(X)))=>((quiet(paul)<~>curious(paul))))&
(![X]:((~strong(X)|calm(X))<=>(humble(X)&~... | ~funny(alice) | [
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 414503974291706173764457
% SZS output start Proof for 414503974291706173764457
6. ! [X0] : ((calm(X0) | ~strong(X0)) <=> (~wise(X0) & humble(X0))) [input p5]
9. ! [X0] : (~wise(X0) => (~kind(X0) & kind(X0))) [input p8]
12. ! [X0] : ((~quiet(X0) | ~calm(X0)) => (funny(X0) <~> wise(X0))) [i... | 0 |
If fred is not patient then someone is creative and vice versa.
If fred is either kind or quiet then someone is not happy and vice versa.
Everyone who is not kind or not brave is brave and vice versa.
Everyone who is funny is humble and vice versa.
If lucy is both humble and not generous then paul is not old.
Everyone ... | Lucy is patient. | contradiction | ((~patient(fred))<=>(?[X]:(creative(X))))&
(((kind(fred)<~>quiet(fred)))<=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)|~brave(X))<=>brave(X)))&
(![X]:(funny(X)<=>humble(X)))&
(((humble(lucy)&~generous(lucy)))=>(~old(paul)))&
(![X]:((~rich(X)|calm(X))=>(old(X)<~>tall(X))))&
(![X]:(~calm(X)=>(~tall(X)<~>quiet(X))))&
((?[X]:((~... | patient(lucy) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 35011860429523667919501
% SZS output start Proof for 35011860429523667919501
4. ! [X0] : (funny(X0) <=> humble(X0)) [input p3]
12. ? [X0] : patient(X0) => (~humble(john) & funny(john)) [input p11]
23. patient(lucy) [input hypothesis]
32. (~humble(john) & funny(john)) | ! [X0] : ~patient(X... | 0 |
Everyone who is not strong or funny is not humble. Everyone who is humble or wise is humble. If someone is both not funny and rich then fred is not calm or wise and vice versa. If mary is strong or tall then fred is not creative and vice versa. Everyone who is tall or not generous is calm. Everyone who is tall is eithe... | Fred is not calm. | contradiction | (![X]:((~strong(X)|funny(X))=>~humble(X)))&
(![X]:((humble(X)|wise(X))=>humble(X)))&
((?[X]:((~funny(X)&rich(X))))<=>((~calm(fred)|wise(fred))))&
(((strong(mary)|tall(mary)))<=>(~creative(fred)))&
(![X]:((tall(X)|~generous(X))=>calm(X)))&
(![X]:(tall(X)=>(kind(X)<~>calm(X))))&
(![X]:((~old(X)|creative(X))=>rich(X)))&
(... | ~calm(fred) | [
"p0",
"p1",
"p6",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 523668768048031044576075
% SZS output start Proof for 523668768048031044576075
1. ! [X0] : ((funny(X0) | ~strong(X0)) => ~humble(X0)) [input p0]
2. ! [X0] : ((wise(X0) | humble(X0)) => humble(X0)) [input p1]
7. ! [X0] : ((creative(X0) | ~old(X0)) => rich(X0)) [input p6]
9. ! [X0] : ((wise... | 0 |
Everyone who is either not patient or rich is both generous and tall and vice versa.
If susan is either rich or tall then someone is both strong and not rich and vice versa.
If someone is both creative and not brave then lucy is not old.
If lucy is either not wise or generous then someone is both creative and curious.
... | Susan is not curious. | contradiction | (![X]:((~patient(X)<~>rich(X))<=>(generous(X)&tall(X))))&
(((rich(susan)<~>tall(susan)))<=>(?[X]:((strong(X)&~rich(X)))))&
((?[X]:((creative(X)&~brave(X))))=>(~old(lucy)))&
(((~wise(lucy)<~>generous(lucy)))=>(?[X]:((creative(X)&curious(X)))))&
(((calm(lucy)&curious(lucy)))=>((quiet(mary)&tall(mary))))&
(![X]:((~funny(X... | ~curious(susan) | [
"p0",
"p1",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 745462685701532876310923
% SZS output start Proof for 745462685701532876310923
1. ! [X0] : ((~patient(X0) <~> rich(X0)) <=> (tall(X0) & generous(X0))) [input p0]
2. (rich(susan) <~> tall(susan)) <=> ? [X0] : (~rich(X0) & strong(X0)) [input p1]
6. ! [X0] : ((~funny(X0) <~> funny(X0)) => ~g... | 0 |
If fred is both not creative and happy then john is either rich or curious and vice versa. Everyone who is either funny or creative is kind and vice versa. If someone is either not creative or quiet then susan is not quiet or old. If someone is either not tall or calm then someone is both not patient and tall and vice ... | John is rich. | contradiction | (((~creative(fred)&happy(fred)))<=>((rich(john)<~>curious(john))))&
(![X]:((funny(X)<~>creative(X))<=>kind(X)))&
((?[X]:((~creative(X)<~>quiet(X))))=>((~quiet(susan)|old(susan))))&
((?[X]:((~tall(X)<~>calm(X))))<=>(?[X]:((~patient(X)&tall(X)))))&
((?[X]:((humble(X)&generous(X))))<=>(~generous(mary)))&
(((patient(john)<... | rich(john) | [
"p0",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7129600394525875547942732
% SZS output start Proof for 7129600394525875547942732
1. (happy(fred) & ~creative(fred)) <=> (rich(john) <~> curious(john)) [input p0]
11. ! [X0] : (patient(X0) <=> (~humble(X0) | ~patient(X0))) [input p10]
15. ! [X0] : ((~happy(X0) | ~curious(X0)) => creative(X... | 0 |
Everyone who is not wise is kind or not calm.
Everyone who is not kind or not funny is both funny and not old.
If someone is both generous and not rich then someone is not generous or not happy and vice versa.
Everyone who is rich is not patient.
Everyone who is both not kind and curious is either quiet or not old and ... | Mary is not brave. | contradiction | (![X]:(~wise(X)=>(kind(X)|~calm(X))))&
(![X]:((~kind(X)|~funny(X))=>(funny(X)&~old(X))))&
((?[X]:((generous(X)&~rich(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(rich(X)=>~patient(X)))&
(![X]:((~kind(X)&curious(X))<=>(quiet(X)<~>~old(X))))&
(((creative(paul)&~strong(paul)))<=>(creative(alice)))&
(![X]:(old(X)=>(~... | ~brave(mary) | [
"p1",
"p4",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5363619838491796274908642
% SZS output start Proof for 5363619838491796274908642
2. ! [X0] : ((~funny(X0) | ~kind(X0)) => (~old(X0) & funny(X0))) [input p1]
5. ! [X0] : ((curious(X0) & ~kind(X0)) <=> (quiet(X0) <~> ~old(X0))) [input p4]
7. ! [X0] : (old(X0) => (~brave(X0) <~> ~quiet(X0)))... | 0 |
Everyone who is not patient is not strong and vice versa.
If john is happy then someone is humble or not funny and vice versa.
If paul is brave then fred is not creative or not old.
If someone is both brave and not generous then someone is either tall or not creative.
Everyone who is either not rich or kind is both kin... | Paul is not calm. | neutral | (![X]:(~patient(X)<=>~strong(X)))&
((happy(john))<=>(?[X]:((humble(X)|~funny(X)))))&
((brave(paul))=>((~creative(fred)|~old(fred))))&
((?[X]:((brave(X)&~generous(X))))=>(?[X]:((tall(X)<~>~creative(X)))))&
(![X]:((~rich(X)<~>kind(X))<=>(kind(X)&humble(X))))&
(![X]:((kind(X)&wise(X))=>(brave(X)|~quiet(X))))&
(![X]:((~cur... | ~calm(paul) | [] | null | 0 |
If susan is not strong or rich then alice is either funny or not brave and vice versa.
Everyone who is curious is generous or curious and vice versa.
If someone is not quiet or calm then someone is tall or creative.
Everyone who is either quiet or tall is wise and vice versa.
If someone is either funny or not brave the... | John is not curious. | contradiction | (((~strong(susan)|rich(susan)))<=>((funny(alice)<~>~brave(alice))))&
(![X]:(curious(X)<=>(generous(X)|curious(X))))&
((?[X]:((~quiet(X)|calm(X))))=>(?[X]:((tall(X)|creative(X)))))&
(![X]:((quiet(X)<~>tall(X))<=>wise(X)))&
((?[X]:((funny(X)<~>~brave(X))))<=>(patient(mary)))&
(((~rich(fred)|~kind(fred)))=>((old(susan)&~o... | ~curious(john) | [
"p1",
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5643718461237983436203206
% SZS output start Proof for 5643718461237983436203206
2. ! [X0] : (curious(X0) <=> (curious(X0) | generous(X0))) [input p1]
13. ? [X0] : tall(X0) => (~wise(john) & strong(john)) [input p12]
14. ! [X0] : ((strong(X0) <~> ~generous(X0)) <=> ~wise(X0)) [input p13]
... | 0 |
If someone is kind or not rich then lucy is funny or not wise.
If someone is funny or not funny then someone is not tall or not brave.
Everyone who is not tall or generous is both not humble and kind and vice versa.
Everyone who is either happy or tall is not generous.
Everyone who is either not creative or creative is... | Alice is not kind. | neutral | ((?[X]:((kind(X)|~rich(X))))=>((funny(lucy)|~wise(lucy))))&
((?[X]:((funny(X)|~funny(X))))=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:((~tall(X)|generous(X))<=>(~humble(X)&kind(X))))&
(![X]:((happy(X)<~>tall(X))=>~generous(X)))&
(![X]:((~creative(X)<~>creative(X))=>(kind(X)<~>wise(X))))&
(((~kind(fred)<~>~patient(fred)))=>... | ~kind(alice) | [] | null | 0 |
Everyone who is not curious is either not rich or creative and vice versa.
Everyone who is either kind or quiet is rich and vice versa.
Everyone who is brave is not rich and vice versa.
Everyone who is creative is both kind and quiet.
If fred is either tall or calm then someone is not quiet.
If alice is either not rich... | Alice is funny. | contradiction | (![X]:(~curious(X)<=>(~rich(X)<~>creative(X))))&
(![X]:((kind(X)<~>quiet(X))<=>rich(X)))&
(![X]:(brave(X)<=>~rich(X)))&
(![X]:(creative(X)=>(kind(X)&quiet(X))))&
(((tall(fred)<~>calm(fred)))=>(?[X]:(~quiet(X))))&
(((~rich(alice)<~>~wise(alice)))<=>((~creative(mary)<~>curious(mary))))&
(![X]:((funny(X)&humble(X))<=>(~ri... | funny(alice) | [
"p2",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2707547421214633526940786
% SZS output start Proof for 2707547421214633526940786
3. ! [X0] : (brave(X0) <=> ~rich(X0)) [input p2]
7. ! [X0] : ((humble(X0) & funny(X0)) <=> (~rich(X0) <~> ~humble(X0))) [input p6]
16. ! [X0] : (brave(X0) => (~happy(X0) & ~brave(X0))) [input p15]
25. funny(a... | 0 |
Everyone who is humble or not humble is not strong and vice versa.
Everyone who is either not calm or not kind is not humble.
Everyone who is curious is not quiet or strong.
Everyone who is old is rich and vice versa.
Everyone who is brave or happy is wise and vice versa.
If alice is both old and not creative then mary... | Lucy is not rich. | neutral | (![X]:((humble(X)|~humble(X))<=>~strong(X)))&
(![X]:((~calm(X)<~>~kind(X))=>~humble(X)))&
(![X]:(curious(X)=>(~quiet(X)|strong(X))))&
(![X]:(old(X)<=>rich(X)))&
(![X]:((brave(X)|happy(X))<=>wise(X)))&
(((old(alice)&~creative(alice)))=>((~calm(mary)|~strong(mary))))&
(![X]:(curious(X)<=>creative(X)))&
(![X]:(~happy(X)=>... | ~rich(lucy) | [] | null | 0 |
Everyone who is either not patient or not funny is not tall or not old.
If paul is both funny and not curious then alice is either creative or funny.
If susan is both not kind and not tall then susan is not strong and vice versa.
Everyone who is either happy or funny is both generous and not strong and vice versa.
If m... | Susan is quiet. | entailment | (![X]:((~patient(X)<~>~funny(X))=>(~tall(X)|~old(X))))&
(((funny(paul)&~curious(paul)))=>((creative(alice)<~>funny(alice))))&
(((~kind(susan)&~tall(susan)))<=>(~strong(susan)))&
(![X]:((happy(X)<~>funny(X))<=>(generous(X)&~strong(X))))&
(((old(mary)|kind(mary)))<=>((~funny(lucy)&~curious(lucy))))&
(![X]:((~strong(X)<~>... | quiet(susan) | [
"p3",
"p5",
"p6",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4023055948905903722616624
% SZS output start Proof for 4023055948905903722616624
4. ! [X0] : ((happy(X0) <~> funny(X0)) <=> (~strong(X0) & generous(X0))) [input p3]
6. ! [X0] : ((~strong(X0) <~> creative(X0)) <=> (tall(X0) & strong(X0))) [input p5]
7. ! [X0] : ((~creative(X0) | happy(X0))... | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa.
Everyone who is not kind or not funny is either wise or not funny and vice versa.
Everyone who is either happy or not calm is either not happy or not calm.
Everyone who is either quiet or not kind is quiet or kind.
If alice is not... | Paul is wise. | contradiction | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((happy(X)<~>~calm(X))=>(~happy(X)<~>~calm(X))))&
(![X]:((quiet(X)<~>~kind(X))=>(quiet(X)|kind(X))))&
((~patient(alice))=>((creative(mary)<~>~brave(mary))))&
(![X]:((tall(X)&strong(X))<=>(brave(X)&generous... | wise(paul) | [
"p0",
"p1",
"p2",
"p6",
"p8",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4474098369202958164774544
% SZS output start Proof for 4474098369202958164774544
1. ! [X0] : ((~calm(X0) & ~old(X0)) <=> (~tall(X0) <~> ~happy(X0))) [input p0]
2. ! [X0] : ((~funny(X0) | ~kind(X0)) <=> (wise(X0) <~> ~funny(X0))) [input p1]
3. ! [X0] : ((happy(X0) <~> ~calm(X0)) => (~happy... | 0 |
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