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 patient or not tall is both patient and humble.
Everyone who is both not rich and not funny is both not generous and happy and vice versa.
Everyone who is both not kind and happy is either tall or not wise.
Everyone who is kind or not brave is both not curious and not quiet and vice versa.
Everyo... | Fred is not patient. | contradiction | (![X]:((patient(X)<~>~tall(X))=>(patient(X)&humble(X))))&
(![X]:((~rich(X)&~funny(X))<=>(~generous(X)&happy(X))))&
(![X]:((~kind(X)&happy(X))=>(tall(X)<~>~wise(X))))&
(![X]:((kind(X)|~brave(X))<=>(~curious(X)&~quiet(X))))&
(![X]:(~kind(X)=>(~old(X)|kind(X))))&
(((quiet(fred)&~generous(fred)))<=>(?[X]:(~wise(X))))&
((?[... | ~patient(fred) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p7",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5250131035316496049479163
% SZS output start Proof for 5250131035316496049479163
1. ! [X0] : ((patient(X0) <~> ~tall(X0)) => (humble(X0) & patient(X0))) [input p0]
2. ! [X0] : ((~funny(X0) & ~rich(X0)) <=> (happy(X0) & ~generous(X0))) [input p1]
4. ! [X0] : ((~brave(X0) | kind(X0)) <=> (~... | 0 |
Everyone who is both not creative and curious is either strong or wise and vice versa.
Everyone who is not curious or funny is either not strong or not generous and vice versa.
If someone is not wise or calm then mary is either old or not kind and vice versa.
If alice is not funny or not old then someone is both curiou... | Mary is not tall. | entailment | (![X]:((~creative(X)&curious(X))<=>(strong(X)<~>wise(X))))&
(![X]:((~curious(X)|funny(X))<=>(~strong(X)<~>~generous(X))))&
((?[X]:((~wise(X)|calm(X))))<=>((old(mary)<~>~kind(mary))))&
(((~funny(alice)|~old(alice)))=>(?[X]:((curious(X)&~patient(X)))))&
(![X]:((~old(X)|~strong(X))<=>(~generous(X)&tall(X))))&
(![X]:((humb... | ~tall(mary) | [
"p1",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8573098465679950649982137
% SZS output start Proof for 8573098465679950649982137
2. ! [X0] : ((funny(X0) | ~curious(X0)) <=> (~strong(X0) <~> ~generous(X0))) [input p1]
5. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (tall(X0) & ~generous(X0))) [input p4]
10. ! [X0] : ((tall(X0) | ~funny(X0)) <... | 0 |
If paul is both wise and not humble then lucy is both calm and not old.
Everyone who is both funny and not happy is not old or not kind and vice versa.
If someone is not wise or not calm then someone is wise or not brave.
Everyone who is wise is calm or creative and vice versa.
If someone is not tall or not calm then a... | Fred is funny. | contradiction | (((wise(paul)&~humble(paul)))=>((calm(lucy)&~old(lucy))))&
(![X]:((funny(X)&~happy(X))<=>(~old(X)|~kind(X))))&
((?[X]:((~wise(X)|~calm(X))))=>(?[X]:((wise(X)|~brave(X)))))&
(![X]:(wise(X)<=>(calm(X)|creative(X))))&
((?[X]:((~tall(X)|~calm(X))))=>((~humble(alice)&~patient(alice))))&
((?[X]:((patient(X)<~>creative(X))))<... | funny(fred) | [
"p1",
"p7",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6132372080273741146375094
% SZS output start Proof for 6132372080273741146375094
2. ! [X0] : ((~happy(X0) & funny(X0)) <=> (~kind(X0) | ~old(X0))) [input p1]
8. ! [X0] : (kind(X0) <=> (~wise(X0) & tall(X0))) [input p7]
10. ! [X0] : ((~happy(X0) & ~kind(X0)) => ~funny(X0)) [input p9]
13. !... | 0 |
If paul is both kind and not creative then paul is either not kind or not creative. Everyone who is not happy or not patient is not strong and vice versa. Everyone who is not strong is both old and not tall. If fred is both not happy and wise then susan is creative. Everyone who is not calm is both not humble and not g... | Fred is not happy. | contradiction | (((kind(paul)&~creative(paul)))=>((~kind(paul)<~>~creative(paul))))&
(![X]:((~happy(X)|~patient(X))<=>~strong(X)))&
(![X]:(~strong(X)=>(old(X)&~tall(X))))&
(((~happy(fred)&wise(fred)))=>(creative(susan)))&
(![X]:(~calm(X)=>(~humble(X)&~generous(X))))&
((creative(mary))=>(?[X]:((~humble(X)<~>~kind(X)))))&
(((creative(ma... | ~happy(fred) | [
"p1",
"p2",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6254441171966315112883876
% SZS output start Proof for 6254441171966315112883876
2. ! [X0] : ((~patient(X0) | ~happy(X0)) <=> ~strong(X0)) [input p1]
3. ! [X0] : (~strong(X0) => (~tall(X0) & old(X0))) [input p2]
11. ! [X0] : (rich(X0) <=> (~brave(X0) <~> ~rich(X0))) [input p10]
12. ! [X0]... | 0 |
Everyone who is both not strong and not patient is rich. If john is patient or not calm then mary is tall. If paul is both creative and not patient then john is either happy or not brave. Everyone who is either not brave or not humble is rich and vice versa. Everyone who is tall is either not tall or not old and vice v... | Paul is tall. | entailment | (![X]:((~strong(X)&~patient(X))=>rich(X)))&
(((patient(john)|~calm(john)))=>(tall(mary)))&
(((creative(paul)&~patient(paul)))=>((happy(john)<~>~brave(john))))&
(![X]:((~brave(X)<~>~humble(X))<=>rich(X)))&
(![X]:(tall(X)<=>(~tall(X)<~>~old(X))))&
(![X]:((generous(X)<~>~humble(X))=>~quiet(X)))&
((?[X]:(patient(X)))<=>((h... | tall(paul) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6104561982732914019476806
% SZS output start Proof for 6104561982732914019476806
19. curious(paul) & tall(paul) [input p18]
25. ~tall(paul) [input hypothesis]
27. tall(paul) [pure predicate removal 19]
134. tall(paul) [cnf transformation 27]
143. ~tall(paul) [cnf transformation 25]
309. $... | 0 |
If mary is both not humble and not brave then mary is both not tall and curious.
Everyone who is both not rich and not creative is either not humble or humble and vice versa.
If someone is curious then someone is either not quiet or not generous.
If someone is either not rich or patient then paul is either funny or not... | Paul is quiet. | neutral | (((~humble(mary)&~brave(mary)))=>((~tall(mary)&curious(mary))))&
(![X]:((~rich(X)&~creative(X))<=>(~humble(X)<~>humble(X))))&
((?[X]:(curious(X)))=>(?[X]:((~quiet(X)<~>~generous(X)))))&
((?[X]:((~rich(X)<~>patient(X))))<=>((funny(paul)<~>~curious(paul))))&
(((quiet(paul)<~>~wise(paul)))<=>(?[X]:((generous(X)&brave(X)))... | quiet(paul) | [] | null | 0 |
If someone is happy then susan is not old or not kind.
If alice is calm then susan is tall and vice versa.
Everyone who is either not tall or rich is kind or not creative.
Everyone who is both curious and strong is not brave or patient and vice versa.
If mary is either not rich or not tall then susan is both wise and k... | Alice is kind. | entailment | ((?[X]:(happy(X)))=>((~old(susan)|~kind(susan))))&
((calm(alice))<=>(tall(susan)))&
(![X]:((~tall(X)<~>rich(X))=>(kind(X)|~creative(X))))&
(![X]:((curious(X)&strong(X))<=>(~brave(X)|patient(X))))&
(((~rich(mary)<~>~tall(mary)))=>((wise(susan)&kind(susan))))&
(![X]:((~old(X)&creative(X))=>(~patient(X)<~>~curious(X))))&
... | kind(alice) | [
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8105792228071894224658114
% SZS output start Proof for 8105792228071894224658114
10. ! [X0] : ((patient(X0) | ~generous(X0)) => (kind(X0) | generous(X0))) [input p9]
15. ! [X0] : ((~generous(X0) & ~calm(X0)) <=> (tall(X0) | ~calm(X0))) [input p14]
20. kind(alice) | tall(alice) [input p19]... | 0 |
Everyone who is funny is not old or not creative and vice versa.
If someone is creative then someone is quiet or humble and vice versa.
Everyone who is humble is not strong or not calm.
Everyone who is not happy is not old.
If someone is not patient then john is either wise or not old and vice versa.
Everyone who is ei... | Susan is strong. | neutral | (![X]:(funny(X)<=>(~old(X)|~creative(X))))&
((?[X]:(creative(X)))<=>(?[X]:((quiet(X)|humble(X)))))&
(![X]:(humble(X)=>(~strong(X)|~calm(X))))&
(![X]:(~happy(X)=>~old(X)))&
((?[X]:(~patient(X)))<=>((wise(john)<~>~old(john))))&
(![X]:((humble(X)<~>calm(X))=>~old(X)))&
(![X]:((~happy(X)<~>brave(X))=>quiet(X)))&
(![X]:((~r... | strong(susan) | [] | null | 0 |
If someone is either not creative or old then john is both old and not wise and vice versa.
Everyone who is either patient or not brave is funny and vice versa.
Everyone who is patient is not humble and vice versa.
Everyone who is curious or old is rich or curious.
If someone is strong then john is both not generous an... | John is not humble. | entailment | ((?[X]:((~creative(X)<~>old(X))))<=>((old(john)&~wise(john))))&
(![X]:((patient(X)<~>~brave(X))<=>funny(X)))&
(![X]:(patient(X)<=>~humble(X)))&
(![X]:((curious(X)|old(X))=>(rich(X)|curious(X))))&
((?[X]:(strong(X)))=>((~generous(john)&~brave(john))))&
((?[X]:((~generous(X)&~kind(X))))<=>(?[X]:((funny(X)<~>~happy(X)))))... | ~humble(john) | [
"p0",
"p2",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 138192318851865983917418
% SZS output start Proof for 138192318851865983917418
1. ? [X0] : (~creative(X0) <~> old(X0)) <=> (~wise(john) & old(john)) [input p0]
3. ! [X0] : (patient(X0) <=> ~humble(X0)) [input p2]
11. ! [X0] : ((creative(X0) & patient(X0)) <=> old(X0)) [input p10]
22. ? [X... | 0 |
If someone is both not curious and brave then someone is both not calm and happy. Everyone who is funny is both rich and strong and vice versa. Everyone who is not creative or rich is not calm and vice versa. Everyone who is both not old and not calm is both patient and not funny and vice versa. Everyone who is not qui... | John is patient. | neutral | ((?[X]:((~curious(X)&brave(X))))=>(?[X]:((~calm(X)&happy(X)))))&
(![X]:(funny(X)<=>(rich(X)&strong(X))))&
(![X]:((~creative(X)|rich(X))<=>~calm(X)))&
(![X]:((~old(X)&~calm(X))<=>(patient(X)&~funny(X))))&
(![X]:(~quiet(X)=>(wise(X)<~>~funny(X))))&
(![X]:((creative(X)<~>wise(X))=>(~happy(X)|~patient(X))))&
(((~calm(john)... | patient(john) | [] | null | 0 |
Everyone who is happy or not curious is either not generous or not kind. Everyone who is either not humble or calm is not tall or not patient. If fred is creative or patient then someone is not funny or generous. If alice is strong then someone is not calm. If someone is not happy then paul is either wise or kind. If f... | Fred is humble. | entailment | (![X]:((happy(X)|~curious(X))=>(~generous(X)<~>~kind(X))))&
(![X]:((~humble(X)<~>calm(X))=>(~tall(X)|~patient(X))))&
(((creative(fred)|patient(fred)))=>(?[X]:((~funny(X)|generous(X)))))&
((strong(alice))=>(?[X]:(~calm(X))))&
((?[X]:(~happy(X)))=>((wise(paul)<~>kind(paul))))&
(((curious(fred)&happy(fred)))<=>(funny(susa... | humble(fred) | [
"p0",
"p6",
"p7",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7744638998507505968810757
% SZS output start Proof for 7744638998507505968810757
1. ! [X0] : ((~curious(X0) | happy(X0)) => (~generous(X0) <~> ~kind(X0))) [input p0]
7. ! [X0] : ((creative(X0) | curious(X0)) => (generous(X0) & ~kind(X0))) [input p6]
8. ! [X0] : ((~kind(X0) | happy(X0)) =>... | 0 |
If someone is not creative or humble then paul is not quiet and vice versa. If fred is both curious and not strong then someone is either brave or generous. Everyone who is not rich is not kind or not calm. Everyone who is either not generous or generous is quiet. Everyone who is generous or wise is either curious or n... | Paul is rich. | entailment | ((?[X]:((~creative(X)|humble(X))))<=>(~quiet(paul)))&
(((curious(fred)&~strong(fred)))=>(?[X]:((brave(X)<~>generous(X)))))&
(![X]:(~rich(X)=>(~kind(X)|~calm(X))))&
(![X]:((~generous(X)<~>generous(X))=>quiet(X)))&
(![X]:((generous(X)|wise(X))<=>(curious(X)<~>~humble(X))))&
((~creative(susan))=>((~old(fred)<~>humble(fred... | rich(paul) | [
"p0",
"p3",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4213732375422511504822600
% SZS output start Proof for 4213732375422511504822600
1. ? [X0] : (humble(X0) | ~creative(X0)) <=> ~quiet(paul) [input p0]
4. ! [X0] : ((~generous(X0) <~> generous(X0)) => quiet(X0)) [input p3]
13. ! [X0] : (~strong(X0) <=> (kind(X0) <~> strong(X0))) [input p12]... | 0 |
If mary is either not kind or funny then lucy is not tall or not patient and vice versa.
Everyone who is either not funny or tall is wise.
Everyone who is either kind or strong is either not curious or calm.
If mary is not old then someone is kind or rich and vice versa.
Everyone who is creative is generous and vice ve... | John is strong. | neutral | (((~kind(mary)<~>funny(mary)))<=>((~tall(lucy)|~patient(lucy))))&
(![X]:((~funny(X)<~>tall(X))=>wise(X)))&
(![X]:((kind(X)<~>strong(X))=>(~curious(X)<~>calm(X))))&
((~old(mary))<=>(?[X]:((kind(X)|rich(X)))))&
(![X]:(creative(X)<=>generous(X)))&
((?[X]:(~brave(X)))<=>(?[X]:(brave(X))))&
(![X]:(kind(X)<=>~generous(X)))&
... | strong(john) | [] | null | 0 |
Everyone who is strong or not tall is both creative and wise.
If someone is not wise or old then someone is either quiet or calm.
Everyone who is happy is both not tall and funny and vice versa.
Everyone who is both not patient and not tall is either brave or strong.
Everyone who is humble or not quiet is brave.
Everyo... | Alice is strong. | neutral | (![X]:((strong(X)|~tall(X))=>(creative(X)&wise(X))))&
((?[X]:((~wise(X)|old(X))))=>(?[X]:((quiet(X)<~>calm(X)))))&
(![X]:(happy(X)<=>(~tall(X)&funny(X))))&
(![X]:((~patient(X)&~tall(X))=>(brave(X)<~>strong(X))))&
(![X]:((humble(X)|~quiet(X))=>brave(X)))&
(![X]:(happy(X)<=>(wise(X)&~calm(X))))&
((?[X]:(humble(X)))<=>((~... | strong(alice) | [] | null | 0 |
If someone is not old or calm then someone is not rich or rich and vice versa.
If john is old then someone is both wise and not rich and vice versa.
Everyone who is both not tall and quiet is kind and vice versa.
Everyone who is old is either patient or not tall.
Everyone who is calm or not generous is both not curious... | John is not quiet. | neutral | ((?[X]:((~old(X)|calm(X))))<=>(?[X]:((~rich(X)|rich(X)))))&
((old(john))<=>(?[X]:((wise(X)&~rich(X)))))&
(![X]:((~tall(X)&quiet(X))<=>kind(X)))&
(![X]:(old(X)=>(patient(X)<~>~tall(X))))&
(![X]:((calm(X)|~generous(X))<=>(~curious(X)&~brave(X))))&
((?[X]:((old(X)&strong(X))))<=>((patient(paul)&generous(paul))))&
((?[X]:(... | ~quiet(john) | [] | null | 0 |
Everyone who is not curious or not generous is either not curious or not brave.
Everyone who is not generous or curious is not curious or funny.
If someone is either curious or rich then someone is either not brave or not calm and vice versa.
Everyone who is not quiet or rich is either old or not humble.
Everyone who i... | Susan is humble. | entailment | (![X]:((~curious(X)|~generous(X))=>(~curious(X)<~>~brave(X))))&
(![X]:((~generous(X)|curious(X))=>(~curious(X)|funny(X))))&
((?[X]:((curious(X)<~>rich(X))))<=>(?[X]:((~brave(X)<~>~calm(X)))))&
(![X]:((~quiet(X)|rich(X))=>(old(X)<~>~humble(X))))&
(![X]:(funny(X)=>~strong(X)))&
(![X]:((strong(X)<~>~happy(X))=>(patient(X)... | humble(susan) | [
"p0",
"p1",
"p6",
"p7",
"p10",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7886205417199807882312334
% SZS output start Proof for 7886205417199807882312334
1. ! [X0] : ((~generous(X0) | ~curious(X0)) => (~curious(X0) <~> ~brave(X0))) [input p0]
2. ! [X0] : ((curious(X0) | ~generous(X0)) => (funny(X0) | ~curious(X0))) [input p1]
7. ! [X0] : (tall(X0) => (kind(X0)... | 0 |
If someone is curious or not creative then fred is both not strong and brave and vice versa. If lucy is both rich and funny then paul is not humble or not generous. If lucy is both not calm and creative then john is not humble or not wise and vice versa. Everyone who is creative is not tall or not rich. If someone is p... | Paul is not generous. | neutral | ((?[X]:((curious(X)|~creative(X))))<=>((~strong(fred)&brave(fred))))&
(((rich(lucy)&funny(lucy)))=>((~humble(paul)|~generous(paul))))&
(((~calm(lucy)&creative(lucy)))<=>((~humble(john)|~wise(john))))&
(![X]:(creative(X)=>(~tall(X)|~rich(X))))&
((?[X]:((patient(X)|~creative(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~brave(X)<... | ~generous(paul) | [] | null | 0 |
If someone is not generous then paul is not strong.
If someone is either calm or happy then paul is both not generous and not old.
Everyone who is both not tall and tall is not kind and vice versa.
If fred is either not kind or happy then someone is both not creative and wise.
If someone is brave then someone is rich o... | Mary is not rich. | entailment | ((?[X]:(~generous(X)))=>(~strong(paul)))&
((?[X]:((calm(X)<~>happy(X))))=>((~generous(paul)&~old(paul))))&
(![X]:((~tall(X)&tall(X))<=>~kind(X)))&
(((~kind(fred)<~>happy(fred)))=>(?[X]:((~creative(X)&wise(X)))))&
((?[X]:(brave(X)))<=>(?[X]:((rich(X)|generous(X)))))&
(![X]:(~calm(X)=>old(X)))&
((?[X]:((kind(X)|~generous... | ~rich(mary) | [
"p1",
"p2",
"p4",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1464886151756631779558439
% SZS output start Proof for 1464886151756631779558439
2. ? [X0] : (calm(X0) <~> happy(X0)) => (~old(paul) & ~generous(paul)) [input p1]
3. ! [X0] : ((tall(X0) & ~tall(X0)) <=> ~kind(X0)) [input p2]
5. ? [X0] : brave(X0) <=> ? [X0] : (generous(X0) | rich(X0)) [in... | 0 |
Everyone who is not tall is either wise or not calm. If john is strong then john is both not funny and happy. Everyone who is generous or not kind is either not wise or not patient. Everyone who is wise or humble is generous and vice versa. If someone is generous then john is both not brave and wise. Everyone who is ei... | Lucy is wise. | contradiction | (![X]:(~tall(X)=>(wise(X)<~>~calm(X))))&
((strong(john))=>((~funny(john)&happy(john))))&
(![X]:((generous(X)|~kind(X))=>(~wise(X)<~>~patient(X))))&
(![X]:((wise(X)|humble(X))<=>generous(X)))&
((?[X]:(generous(X)))=>((~brave(john)&wise(john))))&
(![X]:((strong(X)<~>brave(X))=>kind(X)))&
(![X]:((~calm(X)&~patient(X))=>br... | wise(lucy) | [
"p2",
"p3",
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4871874278557449682727632
% SZS output start Proof for 4871874278557449682727632
3. ! [X0] : ((~kind(X0) | generous(X0)) => (~wise(X0) <~> ~patient(X0))) [input p2]
4. ! [X0] : ((humble(X0) | wise(X0)) <=> generous(X0)) [input p3]
5. ? [X0] : generous(X0) => (wise(john) & ~brave(john)) [i... | 0 |
Everyone who is not tall or patient is not calm or kind. Everyone who is patient is either happy or not creative. Everyone who is both brave and funny is funny and vice versa. Everyone who is not quiet is both not funny and not brave and vice versa. If fred is generous or happy then someone is either not patient or not... | Susan is kind. | neutral | (![X]:((~tall(X)|patient(X))=>(~calm(X)|kind(X))))&
(![X]:(patient(X)=>(happy(X)<~>~creative(X))))&
(![X]:((brave(X)&funny(X))<=>funny(X)))&
(![X]:(~quiet(X)<=>(~funny(X)&~brave(X))))&
(((generous(fred)|happy(fred)))=>(?[X]:((~patient(X)<~>~old(X)))))&
((?[X]:((~humble(X)<~>~quiet(X))))=>(?[X]:((~happy(X)&strong(X)))))... | kind(susan) | [] | null | 0 |
Everyone who is wise is both happy and patient. If someone is not tall then someone is kind or generous. If someone is not wise or not brave then susan is not funny or curious. If someone is old then someone is both wise and generous and vice versa. If paul is both funny and tall then someone is not curious and vice ve... | Alice is curious. | entailment | (![X]:(wise(X)=>(happy(X)&patient(X))))&
((?[X]:(~tall(X)))=>(?[X]:((kind(X)|generous(X)))))&
((?[X]:((~wise(X)|~brave(X))))=>((~funny(susan)|curious(susan))))&
((?[X]:(old(X)))<=>(?[X]:((wise(X)&generous(X)))))&
(((funny(paul)&tall(paul)))<=>(?[X]:(~curious(X))))&
(![X]:((~strong(X)&~tall(X))=>(~brave(X)|~creative(X))... | curious(alice) | [
"p0",
"p4",
"p7",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4054600763103229073728496
% SZS output start Proof for 4054600763103229073728496
1. ! [X0] : (wise(X0) => (patient(X0) & happy(X0))) [input p0]
5. (tall(paul) & funny(paul)) <=> ? [X0] : ~curious(X0) [input p4]
8. ! [X0] : ((~tall(X0) <~> funny(X0)) <=> old(X0)) [input p7]
10. ? [X0] : (o... | 0 |
Everyone who is quiet or not strong is either not wise or not curious and vice versa.
Everyone who is both not strong and happy is funny or not strong and vice versa.
Everyone who is both not patient and happy is both tall and not wise.
Everyone who is strong or not rich is not funny or patient.
If someone is either ha... | Lucy is not curious. | entailment | (![X]:((quiet(X)|~strong(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((~strong(X)&happy(X))<=>(funny(X)|~strong(X))))&
(![X]:((~patient(X)&happy(X))=>(tall(X)&~wise(X))))&
(![X]:((strong(X)|~rich(X))=>(~funny(X)|patient(X))))&
((?[X]:((happy(X)<~>~tall(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(~brave(X)&fun... | ~curious(lucy) | [
"p1",
"p3",
"p5",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8473651839947846917850547
% SZS output start Proof for 8473651839947846917850547
2. ! [X0] : ((happy(X0) & ~strong(X0)) <=> (~strong(X0) | funny(X0))) [input p1]
4. ! [X0] : ((~rich(X0) | strong(X0)) => (patient(X0) | ~funny(X0))) [input p3]
6. ! [X0] : ((quiet(X0) | ~happy(X0)) => (funny... | 0 |
Everyone who is not calm is both creative and tall and vice versa.
If susan is not generous then someone is funny.
Everyone who is either not brave or kind is not curious.
Everyone who is both not funny and not old is curious or not kind.
Everyone who is either not happy or not calm is happy or not strong and vice vers... | Fred is patient. | entailment | (![X]:(~calm(X)<=>(creative(X)&tall(X))))&
((~generous(susan))=>(?[X]:(funny(X))))&
(![X]:((~brave(X)<~>kind(X))=>~curious(X)))&
(![X]:((~funny(X)&~old(X))=>(curious(X)|~kind(X))))&
(![X]:((~happy(X)<~>~calm(X))<=>(happy(X)|~strong(X))))&
(![X]:(calm(X)<=>(happy(X)<~>strong(X))))&
(((generous(paul)|old(paul)))<=>(?[X]:... | patient(fred) | [
"p4",
"p5",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5203891652951427430513281
% SZS output start Proof for 5203891652951427430513281
5. ! [X0] : ((~happy(X0) <~> ~calm(X0)) <=> (~strong(X0) | happy(X0))) [input p4]
6. ! [X0] : (calm(X0) <=> (happy(X0) <~> strong(X0))) [input p5]
11. ! [X0] : ((~patient(X0) & strong(X0)) => (~funny(X0) & wi... | 0 |
If lucy is either rich or not humble then fred is both not kind and not tall and vice versa. If susan is generous then someone is both not funny and funny and vice versa. If someone is quiet or not kind then paul is both funny and not funny. If susan is not old then someone is not old or happy and vice versa. If someon... | Lucy is not brave. | neutral | (((rich(lucy)<~>~humble(lucy)))<=>((~kind(fred)&~tall(fred))))&
((generous(susan))<=>(?[X]:((~funny(X)&funny(X)))))&
((?[X]:((quiet(X)|~kind(X))))=>((funny(paul)&~funny(paul))))&
((~old(susan))<=>(?[X]:((~old(X)|happy(X)))))&
((?[X]:((tall(X)<~>~kind(X))))=>((~patient(fred)<~>rich(fred))))&
(![X]:((~creative(X)&tall(X)... | ~brave(lucy) | [] | null | 0 |
If susan is quiet then mary is both brave and not quiet and vice versa.
Everyone who is old is both not kind and strong.
If someone is old or not quiet then someone is brave or not happy and vice versa.
Everyone who is both kind and not happy is not funny and vice versa.
If someone is either humble or funny then lucy i... | Lucy is happy. | neutral | ((quiet(susan))<=>((brave(mary)&~quiet(mary))))&
(![X]:(old(X)=>(~kind(X)&strong(X))))&
((?[X]:((old(X)|~quiet(X))))<=>(?[X]:((brave(X)|~happy(X)))))&
(![X]:((kind(X)&~happy(X))<=>~funny(X)))&
((?[X]:((humble(X)<~>funny(X))))<=>((brave(lucy)|~strong(lucy))))&
((~funny(fred))<=>(?[X]:((patient(X)&curious(X)))))&
(![X]:(... | happy(lucy) | [] | null | 0 |
Everyone who is not creative or not happy is old.
If someone is both not humble and funny then paul is either not calm or not wise.
Everyone who is brave or rich is not humble and vice versa.
If someone is rich or not calm then someone is not patient or not generous.
Everyone who is both tall and not rich is not creati... | Mary is not creative. | neutral | (![X]:((~creative(X)|~happy(X))=>old(X)))&
((?[X]:((~humble(X)&funny(X))))=>((~calm(paul)<~>~wise(paul))))&
(![X]:((brave(X)|rich(X))<=>~humble(X)))&
((?[X]:((rich(X)|~calm(X))))=>(?[X]:((~patient(X)|~generous(X)))))&
(![X]:((tall(X)&~rich(X))<=>(~creative(X)|~funny(X))))&
(![X]:((humble(X)|~generous(X))<=>(rich(X)&~ki... | ~creative(mary) | [] | null | 0 |
Everyone who is both not funny and not happy is both not kind and not calm and vice versa.
Everyone who is either tall or not brave is both strong and old.
Everyone who is not quiet is not rich.
If someone is not wise then someone is either not wise or happy and vice versa.
If john is both not generous and not creative... | Mary is funny. | contradiction | (![X]:((~funny(X)&~happy(X))<=>(~kind(X)&~calm(X))))&
(![X]:((tall(X)<~>~brave(X))=>(strong(X)&old(X))))&
(![X]:(~quiet(X)=>~rich(X)))&
((?[X]:(~wise(X)))<=>(?[X]:((~wise(X)<~>happy(X)))))&
(((~generous(john)&~creative(john)))=>(?[X]:(~patient(X))))&
(![X]:(~kind(X)=>(~wise(X)&rich(X))))&
(![X]:((~patient(X)|happy(X))=... | funny(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4976280446703155182389290
% SZS output start Proof for 4976280446703155182389290
22. ~funny(mary) & generous(mary) [input p21]
25. funny(mary) [input hypothesis]
145. ~funny(mary) [cnf transformation 22]
149. funny(mary) [cnf transformation 25]
352. $false [subsumption resolution 149,145]... | 0 |
If someone is brave then someone is either not rich or tall. Everyone who is both strong and not brave is not calm or kind. If someone is old then paul is both tall and brave. If mary is either not calm or wise then someone is tall. Everyone who is both kind and not generous is either not strong or creative. If john is... | Alice is not funny. | entailment | ((?[X]:(brave(X)))=>(?[X]:((~rich(X)<~>tall(X)))))&
(![X]:((strong(X)&~brave(X))=>(~calm(X)|kind(X))))&
((?[X]:(old(X)))=>((tall(paul)&brave(paul))))&
(((~calm(mary)<~>wise(mary)))=>(?[X]:(tall(X))))&
(![X]:((kind(X)&~generous(X))=>(~strong(X)<~>creative(X))))&
(((calm(john)&~humble(john)))=>(?[X]:((strong(X)|old(X))))... | ~funny(alice) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 912363336583276005422206
% SZS output start Proof for 912363336583276005422206
7. ? [X0] : (~humble(X0) | kind(X0)) => (old(alice) & ~funny(alice)) [input p6]
17. ? [X0] : (~humble(X0) & creative(X0)) [input p16]
25. funny(alice) [input hypothesis]
39. (old(alice) & ~funny(alice)) | ! [X0... | 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... | Mary is rich. | contradiction | (((~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... | rich(mary) | [
"p2",
"p8",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1444553148594180247560879
% SZS output start Proof for 1444553148594180247560879
3. ! [X0] : (happy(X0) <=> (wise(X0) & ~creative(X0))) [input p2]
9. (humble(mary) <~> wise(mary)) <=> ? [X0] : (rich(X0) <~> happy(X0)) [input p8]
11. ! [X0] : (~old(X0) <=> wise(X0)) [input p10]
12. ! [X0] ... | 0 |
If someone is not humble then lucy is not funny. Everyone who is calm or not happy is not creative and vice versa. If john is both happy and rich then someone is not old or creative. Everyone who is either not quiet or curious is both calm and not calm. Everyone who is funny or brave is both generous and not funny and ... | John is creative. | contradiction | ((?[X]:(~humble(X)))=>(~funny(lucy)))&
(![X]:((calm(X)|~happy(X))<=>~creative(X)))&
(((happy(john)&rich(john)))=>(?[X]:((~old(X)|creative(X)))))&
(![X]:((~quiet(X)<~>curious(X))=>(calm(X)&~calm(X))))&
(![X]:((funny(X)|brave(X))<=>(generous(X)&~funny(X))))&
(((~curious(fred)<~>creative(fred)))=>((~strong(mary)|brave(mar... | creative(john) | [
"p1",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8416276408825786697521730
% SZS output start Proof for 8416276408825786697521730
2. ! [X0] : ((~happy(X0) | calm(X0)) <=> ~creative(X0)) [input p1]
5. ! [X0] : ((brave(X0) | funny(X0)) <=> (~funny(X0) & generous(X0))) [input p4]
13. ! [X0] : ((~happy(X0) <~> ~calm(X0)) <=> (~funny(X0) <~>... | 0 |
If someone is either not humble or not wise then someone is either not happy or not patient and vice versa. If someone is either not brave or not generous then lucy is not strong or not quiet and vice versa. If fred is not creative or not tall then someone is brave or patient. Everyone who is not generous is brave and ... | Paul is not funny. | entailment | ((?[X]:((~humble(X)<~>~wise(X))))<=>(?[X]:((~happy(X)<~>~patient(X)))))&
((?[X]:((~brave(X)<~>~generous(X))))<=>((~strong(lucy)|~quiet(lucy))))&
(((~creative(fred)|~tall(fred)))=>(?[X]:((brave(X)|patient(X)))))&
(![X]:(~generous(X)<=>brave(X)))&
((strong(mary))=>(?[X]:(patient(X))))&
(((~brave(fred)<~>~calm(fred)))=>(q... | ~funny(paul) | [
"p7",
"p11",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1884116375327950901374293
% SZS output start Proof for 1884116375327950901374293
8. ! [X0] : ((~strong(X0) <~> calm(X0)) => (~brave(X0) & old(X0))) [input p7]
12. ! [X0] : ((~calm(X0) & ~creative(X0)) <=> ~brave(X0)) [input p11]
14. ! [X0] : ((calm(X0) & ~creative(X0)) <=> (funny(X0) | ~t... | 0 |
Everyone who is both not humble and rich is not strong and vice versa.
Everyone who is not humble is not funny and vice versa.
If paul is quiet then mary is either strong or curious.
Everyone who is both not creative and not humble is either not tall or generous.
Everyone who is quiet is both wise and not calm.
If john... | Lucy is funny. | contradiction | (![X]:((~humble(X)&rich(X))<=>~strong(X)))&
(![X]:(~humble(X)<=>~funny(X)))&
((quiet(paul))=>((strong(mary)<~>curious(mary))))&
(![X]:((~creative(X)&~humble(X))=>(~tall(X)<~>generous(X))))&
(![X]:(quiet(X)=>(wise(X)&~calm(X))))&
(((~patient(john)<~>generous(john)))<=>(?[X]:((creative(X)|~brave(X)))))&
((?[X]:((calm(X)|... | funny(lucy) | [
"p0",
"p1",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2127877614004618862731822
% SZS output start Proof for 2127877614004618862731822
1. ! [X0] : ((rich(X0) & ~humble(X0)) <=> ~strong(X0)) [input p0]
2. ! [X0] : (~humble(X0) <=> ~funny(X0)) [input p1]
22. ~strong(lucy) [input p21]
24. funny(lucy) [input hypothesis]
45. ! [X0] : (((rich(X0) ... | 0 |
If someone is both strong and not curious then someone is both rich and not calm. If someone is either kind or not strong then mary is either funny or kind. Everyone who is both rich and creative is not generous and vice versa. If fred is not quiet then lucy is both wise and not strong and vice versa. Everyone who is e... | Susan is not humble. | contradiction | ((?[X]:((strong(X)&~curious(X))))=>(?[X]:((rich(X)&~calm(X)))))&
((?[X]:((kind(X)<~>~strong(X))))=>((funny(mary)<~>kind(mary))))&
(![X]:((rich(X)&creative(X))<=>~generous(X)))&
((~quiet(fred))<=>((wise(lucy)&~strong(lucy))))&
(![X]:((calm(X)<~>~curious(X))=>quiet(X)))&
(![X]:((~generous(X)&~funny(X))=>(~creative(X)&~ri... | ~humble(susan) | [
"p1",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1118072312981983697680040
% SZS output start Proof for 1118072312981983697680040
2. ? [X0] : (kind(X0) <~> ~strong(X0)) => (funny(mary) <~> kind(mary)) [input p1]
9. ? [X0] : (~funny(X0) & ~kind(X0)) <=> (generous(lucy) | ~patient(lucy)) [input p8]
10. ! [X0] : ((patient(X0) | ~creative(X... | 0 |
Everyone who is not wise is both brave and creative and vice versa.
Everyone who is both not quiet and patient is either humble or not creative.
Everyone who is either not curious or patient is either wise or not funny and vice versa.
Everyone who is not rich is both funny and kind.
If lucy is both rich and not rich th... | Mary is not happy. | contradiction | (![X]:(~wise(X)<=>(brave(X)&creative(X))))&
(![X]:((~quiet(X)&patient(X))=>(humble(X)<~>~creative(X))))&
(![X]:((~curious(X)<~>patient(X))<=>(wise(X)<~>~funny(X))))&
(![X]:(~rich(X)=>(funny(X)&kind(X))))&
(((rich(lucy)&~rich(lucy)))<=>((~rich(susan)&~kind(susan))))&
(![X]:((quiet(X)&~strong(X))<=>(tall(X)&~brave(X))))&... | ~happy(mary) | [
"p3",
"p7",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1980935217217476556999907
% SZS output start Proof for 1980935217217476556999907
4. ! [X0] : (~rich(X0) => (kind(X0) & funny(X0))) [input p3]
8. ! [X0] : ((~wise(X0) | calm(X0)) <=> ~funny(X0)) [input p7]
20. quiet(mary) & calm(mary) [input p19]
22. rich(mary) <~> ~happy(mary) [input p21]... | 0 |
Everyone who is not generous or not creative is both not patient and wise and vice versa.
If someone is not kind then someone is kind and vice versa.
If fred is both creative and not humble then someone is curious or patient and vice versa.
Everyone who is both not funny and not strong is patient or curious and vice ve... | Mary is not brave. | contradiction | (![X]:((~generous(X)|~creative(X))<=>(~patient(X)&wise(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(kind(X))))&
(((creative(fred)&~humble(fred)))<=>(?[X]:((curious(X)|patient(X)))))&
(![X]:((~funny(X)&~strong(X))<=>(patient(X)|curious(X))))&
((?[X]:((wise(X)&calm(X))))=>((patient(fred)&~brave(fred))))&
(((~humble(john)|~quiet(jo... | ~brave(mary) | [
"p0",
"p3",
"p4",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5618630985695324561912374
% SZS output start Proof for 5618630985695324561912374
1. ! [X0] : ((~creative(X0) | ~generous(X0)) <=> (wise(X0) & ~patient(X0))) [input p0]
4. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> (curious(X0) | patient(X0))) [input p3]
5. ? [X0] : (calm(X0) & wise(X0)) => ... | 0 |
If someone is both not calm and happy then lucy is both not quiet and generous and vice versa.
Everyone who is not humble is either not tall or old and vice versa.
Everyone who is either generous or humble is both humble and not calm and vice versa.
Everyone who is brave is both not rich and not tall and vice versa.
Ev... | Mary is not creative. | entailment | ((?[X]:((~calm(X)&happy(X))))<=>((~quiet(lucy)&generous(lucy))))&
(![X]:(~humble(X)<=>(~tall(X)<~>old(X))))&
(![X]:((generous(X)<~>humble(X))<=>(humble(X)&~calm(X))))&
(![X]:(brave(X)<=>(~rich(X)&~tall(X))))&
(![X]:((patient(X)&old(X))=>(tall(X)|rich(X))))&
(![X]:((~wise(X)|~tall(X))=>(curious(X)|humble(X))))&
((kind(m... | ~creative(mary) | [
"p3",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1650504146120030086367213
% SZS output start Proof for 1650504146120030086367213
4. ! [X0] : (brave(X0) <=> (~tall(X0) & ~rich(X0))) [input p3]
12. ! [X0] : (rich(X0) <=> (~tall(X0) | ~creative(X0))) [input p11]
13. ! [X0] : ((~tall(X0) & ~creative(X0)) <=> rich(X0)) [input p12]
15. ! [X0... | 0 |
Everyone who is not humble or not rich is curious and vice versa. If someone is patient or creative then someone is creative or old. Everyone who is both not generous and creative is either calm or not happy and vice versa. Everyone who is either not calm or funny is both not humble and not patient and vice versa. If s... | Susan is rich. | entailment | (![X]:((~humble(X)|~rich(X))<=>curious(X)))&
((?[X]:((patient(X)|creative(X))))=>(?[X]:((creative(X)|old(X)))))&
(![X]:((~generous(X)&creative(X))<=>(calm(X)<~>~happy(X))))&
(![X]:((~calm(X)<~>funny(X))<=>(~humble(X)&~patient(X))))&
((?[X]:((tall(X)&~old(X))))=>((~tall(fred)|kind(fred))))&
(![X]:((~quiet(X)<~>tall(X))<... | rich(susan) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3157645648113225309732562
% SZS output start Proof for 3157645648113225309732562
1. ! [X0] : ((~rich(X0) | ~humble(X0)) <=> curious(X0)) [input p0]
15. ! [X0] : (curious(X0) => (rich(X0) & wise(X0))) [input p14]
23. ~rich(susan) [input hypothesis]
35. ! [X0] : ((rich(X0) & wise(X0)) | ~cu... | 0 |
Everyone who is either not brave or not wise is either brave or kind.
If alice is not calm or not brave then someone is not happy or tall.
If fred is both not kind and not happy then lucy is either not humble or curious and vice versa.
Everyone who is not quiet is both kind and not kind and vice versa.
Everyone who is ... | Alice is not funny. | contradiction | (![X]:((~brave(X)<~>~wise(X))=>(brave(X)<~>kind(X))))&
(((~calm(alice)|~brave(alice)))=>(?[X]:((~happy(X)|tall(X)))))&
(((~kind(fred)&~happy(fred)))<=>((~humble(lucy)<~>curious(lucy))))&
(![X]:(~quiet(X)<=>(kind(X)&~kind(X))))&
(![X]:((rich(X)|generous(X))<=>(~happy(X)&~old(X))))&
(![X]:((~rich(X)|creative(X))=>(~happy... | ~funny(alice) | [
"p4",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5907477750943968127361582
% SZS output start Proof for 5907477750943968127361582
5. ! [X0] : ((generous(X0) | rich(X0)) <=> (~old(X0) & ~happy(X0))) [input p4]
6. ! [X0] : ((creative(X0) | ~rich(X0)) => (funny(X0) & ~happy(X0))) [input p5]
14. ! [X0] : ((~rich(X0) <~> ~old(X0)) <=> (funny... | 0 |
Everyone who is both happy and not rich is calm or not old. Everyone who is either not generous or wise is quiet. If mary is not calm or not rich then lucy is both tall and funny. Everyone who is both not happy and not quiet is generous. If someone is either not rich or not kind then someone is not tall or happy. Every... | Lucy is funny. | entailment | (![X]:((happy(X)&~rich(X))=>(calm(X)|~old(X))))&
(![X]:((~generous(X)<~>wise(X))=>quiet(X)))&
(((~calm(mary)|~rich(mary)))=>((tall(lucy)&funny(lucy))))&
(![X]:((~happy(X)&~quiet(X))=>generous(X)))&
((?[X]:((~rich(X)<~>~kind(X))))=>(?[X]:((~tall(X)|happy(X)))))&
(![X]:((~creative(X)<~>~rich(X))=>funny(X)))&
(![X]:((brav... | funny(lucy) | [
"p1",
"p2",
"p3",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 189877785623581621766861
% SZS output start Proof for 189877785623581621766861
2. ! [X0] : ((~generous(X0) <~> wise(X0)) => quiet(X0)) [input p1]
3. (~rich(mary) | ~calm(mary)) => (funny(lucy) & tall(lucy)) [input p2]
4. ! [X0] : ((~quiet(X0) & ~happy(X0)) => generous(X0)) [input p3]
11. ... | 0 |
If someone is either not old or not generous then lucy is both old and not old and vice versa.
Everyone who is not wise is calm and vice versa.
If alice is both not old and patient then fred is both not strong and curious and vice versa.
Everyone who is either patient or creative is creative or patient and vice versa.
... | Mary is not quiet. | contradiction | ((?[X]:((~old(X)<~>~generous(X))))<=>((old(lucy)&~old(lucy))))&
(![X]:(~wise(X)<=>calm(X)))&
(((~old(alice)&patient(alice)))<=>((~strong(fred)&curious(fred))))&
(![X]:((patient(X)<~>creative(X))<=>(creative(X)|patient(X))))&
(![X]:((~patient(X)|kind(X))=>humble(X)))&
(![X]:(~patient(X)<=>humble(X)))&
(![X]:(~curious(X)... | ~quiet(mary) | [
"p4",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3237397194773092237641086
% SZS output start Proof for 3237397194773092237641086
5. ! [X0] : ((kind(X0) | ~patient(X0)) => humble(X0)) [input p4]
12. ! [X0] : ((~quiet(X0) & humble(X0)) <=> ~kind(X0)) [input p11]
13. ! [X0] : ((generous(X0) | ~quiet(X0)) => kind(X0)) [input p12]
22. ~quie... | 0 |
If susan is funny or generous then someone is both not generous and not funny and vice versa.
If someone is both not quiet and calm then fred is curious.
Everyone who is tall is both not happy and not tall.
If mary is both wise and not rich then fred is both patient and not patient.
If lucy is not old or not wise then ... | Mary is not tall. | entailment | (((funny(susan)|generous(susan)))<=>(?[X]:((~generous(X)&~funny(X)))))&
((?[X]:((~quiet(X)&calm(X))))=>(curious(fred)))&
(![X]:(tall(X)=>(~happy(X)&~tall(X))))&
(((wise(mary)&~rich(mary)))=>((patient(fred)&~patient(fred))))&
(((~old(lucy)|~wise(lucy)))=>((~old(fred)|rich(fred))))&
(![X]:(~strong(X)<=>(brave(X)<~>funny(... | ~tall(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1467958035036207468806595
% SZS output start Proof for 1467958035036207468806595
3. ! [X0] : (tall(X0) => (~tall(X0) & ~happy(X0))) [input p2]
24. tall(mary) [input hypothesis]
33. ! [X0] : ((~tall(X0) & ~happy(X0)) | ~tall(X0)) [ennf transformation 3]
76. ~tall(X0) | ~tall(X0) [cnf trans... | 0 |
If someone is not curious or kind then someone is both not happy and not rich.
If someone is both not calm and not happy then someone is not strong and vice versa.
Everyone who is either not creative or not curious is funny or not calm.
Everyone who is either not curious or funny is curious or not funny and vice versa.... | Alice is strong. | neutral | ((?[X]:((~curious(X)|kind(X))))=>(?[X]:((~happy(X)&~rich(X)))))&
((?[X]:((~calm(X)&~happy(X))))<=>(?[X]:(~strong(X))))&
(![X]:((~creative(X)<~>~curious(X))=>(funny(X)|~calm(X))))&
(![X]:((~curious(X)<~>funny(X))<=>(curious(X)|~funny(X))))&
(![X]:((~calm(X)&wise(X))=>~strong(X)))&
((?[X]:((~generous(X)&kind(X))))<=>(?[X... | strong(alice) | [] | null | 0 |
Everyone who is both not old and not generous is quiet or generous and vice versa.
Everyone who is either not humble or quiet is not calm and vice versa.
If someone is either funny or happy then lucy is either not calm or funny and vice versa.
Everyone who is not kind is both humble and not calm and vice versa.
If mary... | John is creative. | neutral | (![X]:((~old(X)&~generous(X))<=>(quiet(X)|generous(X))))&
(![X]:((~humble(X)<~>quiet(X))<=>~calm(X)))&
((?[X]:((funny(X)<~>happy(X))))<=>((~calm(lucy)<~>funny(lucy))))&
(![X]:(~kind(X)<=>(humble(X)&~calm(X))))&
(((funny(mary)|calm(mary)))<=>(?[X]:((happy(X)<~>strong(X)))))&
(![X]:((~creative(X)&~kind(X))<=>(~old(X)|pat... | creative(john) | [] | null | 0 |
If someone is wise or not wise then lucy is kind and vice versa. If alice is humble then paul is not strong or not kind and vice versa. Everyone who is both not calm and curious is both wise and tall. If someone is both generous and not happy then someone is not strong. If john is both not happy and happy then someone ... | Lucy is not curious. | entailment | ((?[X]:((wise(X)|~wise(X))))<=>(kind(lucy)))&
((humble(alice))<=>((~strong(paul)|~kind(paul))))&
(![X]:((~calm(X)&curious(X))=>(wise(X)&tall(X))))&
((?[X]:((generous(X)&~happy(X))))=>(?[X]:(~strong(X))))&
(((~happy(john)&happy(john)))=>(?[X]:((kind(X)|tall(X)))))&
(((~patient(fred)&brave(fred)))=>(?[X]:((~quiet(X)&wise... | ~curious(lucy) | [
"p2",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4439807339968683253529326
% SZS output start Proof for 4439807339968683253529326
3. ! [X0] : ((curious(X0) & ~calm(X0)) => (tall(X0) & wise(X0))) [input p2]
11. ! [X0] : ((~patient(X0) | calm(X0)) => ~calm(X0)) [input p10]
12. ! [X0] : ((curious(X0) <~> calm(X0)) => (~tall(X0) & ~funny(X0... | 0 |
If susan is either not quiet or humble then fred is wise. Everyone who is both kind and not funny is old or brave and vice versa. If someone is not patient then someone is both not kind and curious and vice versa. Everyone who is both not curious and not quiet is both not happy and not calm. Everyone who is not patient... | Fred is not brave. | entailment | (((~quiet(susan)<~>humble(susan)))=>(wise(fred)))&
(![X]:((kind(X)&~funny(X))<=>(old(X)|brave(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~kind(X)&curious(X)))))&
(![X]:((~curious(X)&~quiet(X))=>(~happy(X)&~calm(X))))&
(![X]:(~patient(X)<=>(~brave(X)|patient(X))))&
(((tall(fred)<~>~generous(fred)))<=>(?[X]:(patient(X))))&
(... | ~brave(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7731876629467723895889036
% SZS output start Proof for 7731876629467723895889036
5. ! [X0] : (~patient(X0) <=> (patient(X0) | ~brave(X0))) [input p4]
23. brave(fred) [input hypothesis]
43. ! [X0] : ((~patient(X0) | (~patient(X0) & brave(X0))) & ((patient(X0) | ~brave(X0)) | patient(X0))) ... | 0 |
Everyone who is happy is either not funny or not creative and vice versa.
Everyone who is not quiet or not rich is not wise or quiet.
Everyone who is not tall or not kind is humble.
If someone is curious then someone is both not calm and not brave.
Everyone who is either curious or not rich is calm or tall and vice ver... | Susan is not brave. | neutral | (![X]:(happy(X)<=>(~funny(X)<~>~creative(X))))&
(![X]:((~quiet(X)|~rich(X))=>(~wise(X)|quiet(X))))&
(![X]:((~tall(X)|~kind(X))=>humble(X)))&
((?[X]:(curious(X)))=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:((curious(X)<~>~rich(X))<=>(calm(X)|tall(X))))&
(![X]:(kind(X)=>(~kind(X)&strong(X))))&
(![X]:(~humble(X)<=>(happy(X)<~... | ~brave(susan) | [] | null | 0 |
Everyone who is not old or not funny is not strong or rich and vice versa.
Everyone who is happy or not quiet is not patient or not generous.
If alice is either not generous or kind then someone is creative or calm.
Everyone who is not happy is both not calm and happy and vice versa.
If someone is either strong or rich... | Lucy is not curious. | contradiction | (![X]:((~old(X)|~funny(X))<=>(~strong(X)|rich(X))))&
(![X]:((happy(X)|~quiet(X))=>(~patient(X)|~generous(X))))&
(((~generous(alice)<~>kind(alice)))=>(?[X]:((creative(X)|calm(X)))))&
(![X]:(~happy(X)<=>(~calm(X)&happy(X))))&
((?[X]:((strong(X)<~>rich(X))))<=>((tall(alice)<~>~tall(alice))))&
(![X]:(curious(X)<=>(happy(X)... | ~curious(lucy) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 927929976606000407420431
% SZS output start Proof for 927929976606000407420431
4. ! [X0] : (~happy(X0) <=> (happy(X0) & ~calm(X0))) [input p3]
6. ! [X0] : (curious(X0) <=> (tall(X0) | happy(X0))) [input p5]
25. ~curious(lucy) [input hypothesis]
43. ! [X0] : ((~happy(X0) | (~happy(X0) | ca... | 0 |
Everyone who is not kind is not creative and vice versa. If alice is either not kind or quiet then someone is not strong or not brave and vice versa. Everyone who is either humble or brave is not brave and vice versa. Everyone who is either not patient or not quiet is either not humble or curious and vice versa. Everyo... | John is brave. | entailment | (![X]:(~kind(X)<=>~creative(X)))&
(((~kind(alice)<~>quiet(alice)))<=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((humble(X)<~>brave(X))<=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[X]:(~funny(X)))=>((~tall(fred)<~>~old(fred))))&
(... | brave(john) | [
"p0",
"p1",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2331299152362850711439180
% SZS output start Proof for 2331299152362850711439180
1. ! [X0] : (~kind(X0) <=> ~creative(X0)) [input p0]
2. (~kind(alice) <~> quiet(alice)) <=> ? [X0] : (~brave(X0) | ~strong(X0)) [input p1]
21. creative(alice) & ~quiet(alice) [input p20]
24. ~brave(john) [inp... | 0 |
If someone is either kind or not patient then paul is both not funny and happy and vice versa. If john is rich then someone is both funny and not funny and vice versa. Everyone who is both not rich and patient is both old and brave and vice versa. Everyone who is calm or brave is either not old or wise and vice versa. ... | Lucy is not wise. | contradiction | ((?[X]:((kind(X)<~>~patient(X))))<=>((~funny(paul)&happy(paul))))&
((rich(john))<=>(?[X]:((funny(X)&~funny(X)))))&
(![X]:((~rich(X)&patient(X))<=>(old(X)&brave(X))))&
(![X]:((calm(X)|brave(X))<=>(~old(X)<~>wise(X))))&
(((old(susan)&quiet(susan)))=>((creative(john)<~>~humble(john))))&
(((kind(lucy)<~>~funny(lucy)))=>(?[... | ~wise(lucy) | [
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1263778254319871010986597
% SZS output start Proof for 1263778254319871010986597
14. ! [X0] : (rich(X0) => kind(X0)) [input p13]
15. ! [X0] : ((~calm(X0) & ~kind(X0)) <=> (~humble(X0) | ~wise(X0))) [input p14]
21. ~patient(lucy) & rich(lucy) [input p20]
25. ~wise(lucy) [input hypothesis]
... | 0 |
If someone is either not kind or not humble then fred is either strong or patient and vice versa.
Everyone who is generous or not happy is both calm and not creative and vice versa.
Everyone who is either quiet or not calm is both funny and creative and vice versa.
If fred is both funny and humble then fred is creative... | Paul is not creative. | contradiction | ((?[X]:((~kind(X)<~>~humble(X))))<=>((strong(fred)<~>patient(fred))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~... | ~creative(paul) | [
"p1",
"p2",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1933852142517873629552013
% SZS output start Proof for 1933852142517873629552013
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p1]
3. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (creative(X0) & funny(X0))) [input p2]
8. ! [X0] : ((tall(X0) | ~quiet(X0)) <=> g... | 0 |
Everyone who is not quiet is not generous.
If mary is old then someone is both not humble and generous.
Everyone who is not brave or not strong is both tall and curious.
Everyone who is either generous or old is both not brave and funny and vice versa.
Everyone who is humble or not humble is both not patient and tall.
... | Mary is not humble. | entailment | (![X]:(~quiet(X)=>~generous(X)))&
((old(mary))=>(?[X]:((~humble(X)&generous(X)))))&
(![X]:((~brave(X)|~strong(X))=>(tall(X)&curious(X))))&
(![X]:((generous(X)<~>old(X))<=>(~brave(X)&funny(X))))&
(![X]:((humble(X)|~humble(X))=>(~patient(X)&tall(X))))&
(![X]:(~tall(X)=>curious(X)))&
((~funny(john))=>(?[X]:((curious(X)&ri... | ~humble(mary) | [
"p2",
"p3",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3720727920651295763575852
% SZS output start Proof for 3720727920651295763575852
3. ! [X0] : ((~strong(X0) | ~brave(X0)) => (curious(X0) & tall(X0))) [input p2]
4. ! [X0] : ((generous(X0) <~> old(X0)) <=> (funny(X0) & ~brave(X0))) [input p3]
9. ! [X0] : ((brave(X0) & old(X0)) <=> (~wise(X... | 0 |
Everyone who is either not calm or brave is generous or funny and vice versa. Everyone who is not creative is not calm and vice versa. Everyone who is either kind or not calm is creative and vice versa. If someone is not quiet then john is not tall or quiet and vice versa. Everyone who is either not old or rich is not ... | John is not happy. | neutral | (![X]:((~calm(X)<~>brave(X))<=>(generous(X)|funny(X))))&
(![X]:(~creative(X)<=>~calm(X)))&
(![X]:((kind(X)<~>~calm(X))<=>creative(X)))&
((?[X]:(~quiet(X)))<=>((~tall(john)|quiet(john))))&
(![X]:((~old(X)<~>rich(X))<=>~tall(X)))&
(![X]:((humble(X)<~>~rich(X))<=>(~strong(X)|quiet(X))))&
(![X]:((~calm(X)|~creative(X))=>~t... | ~happy(john) | [] | null | 0 |
Everyone who is both strong and not tall is generous. If fred is either not generous or quiet then lucy is not strong. Everyone who is either not creative or humble is either quiet or not patient and vice versa. If someone is either strong or not curious then john is not strong and vice versa. If someone is not kind or... | Mary is creative. | entailment | (![X]:((strong(X)&~tall(X))=>generous(X)))&
(((~generous(fred)<~>quiet(fred)))=>(~strong(lucy)))&
(![X]:((~creative(X)<~>humble(X))<=>(quiet(X)<~>~patient(X))))&
((?[X]:((strong(X)<~>~curious(X))))<=>(~strong(john)))&
((?[X]:((~kind(X)|~patient(X))))=>((~rich(lucy)&tall(lucy))))&
((?[X]:((~tall(X)<~>~creative(X))))=>(?... | creative(mary) | [
"p2",
"p4",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 989032161847273054561367
% SZS output start Proof for 989032161847273054561367
3. ! [X0] : ((~creative(X0) <~> humble(X0)) <=> (quiet(X0) <~> ~patient(X0))) [input p2]
5. ? [X0] : (~patient(X0) | ~kind(X0)) => (tall(lucy) & ~rich(lucy)) [input p4]
13. (~wise(mary) & ~old(mary)) <=> ? [X0]... | 0 |
If alice is either curious or not rich then someone is either humble or old.
Everyone who is either humble or wise is not kind and vice versa.
Everyone who is humble is not generous or humble.
If alice is both not funny and not generous then lucy is either tall or not patient.
If susan is both tall and old then someone... | John is not quiet. | entailment | (((curious(alice)<~>~rich(alice)))=>(?[X]:((humble(X)<~>old(X)))))&
(![X]:((humble(X)<~>wise(X))<=>~kind(X)))&
(![X]:(humble(X)=>(~generous(X)|humble(X))))&
(((~funny(alice)&~generous(alice)))=>((tall(lucy)<~>~patient(lucy))))&
(((tall(susan)&old(susan)))<=>(?[X]:((happy(X)|patient(X)))))&
(((~creative(susan)&curious(s... | ~quiet(john) | [
"p1",
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4010461871138989302631196
% SZS output start Proof for 4010461871138989302631196
2. ! [X0] : ((humble(X0) <~> wise(X0)) <=> ~kind(X0)) [input p1]
7. ! [X0] : ((~kind(X0) <~> humble(X0)) => ~quiet(X0)) [input p6]
17. ~humble(john) & wise(john) [input p16]
24. quiet(john) [input hypothesis]... | 0 |
If lucy is creative or not curious then mary is both not funny and brave and vice versa.
Everyone who is either calm or happy is either strong or not humble and vice versa.
Everyone who is not brave or not patient is not kind.
Everyone who is both not patient and not calm is both calm and not tall.
Everyone who is both... | John is quiet. | entailment | (((creative(lucy)|~curious(lucy)))<=>((~funny(mary)&brave(mary))))&
(![X]:((calm(X)<~>happy(X))<=>(strong(X)<~>~humble(X))))&
(![X]:((~brave(X)|~patient(X))=>~kind(X)))&
(![X]:((~patient(X)&~calm(X))=>(calm(X)&~tall(X))))&
(![X]:((~old(X)&kind(X))<=>(happy(X)|~generous(X))))&
((?[X]:((~patient(X)&~quiet(X))))<=>(?[X]:(... | quiet(john) | [
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5367008802457221479736251
% SZS output start Proof for 5367008802457221479736251
10. ! [X0] : ((~tall(X0) | generous(X0)) <=> ~generous(X0)) [input p9]
11. ? [X0] : (~creative(X0) & generous(X0)) <=> ? [X0] : ~quiet(X0) [input p10]
22. ~quiet(john) [input hypothesis]
25. ? [X0] : (~creati... | 0 |
Everyone who is not rich is both rich and not funny.
If someone is either not curious or old then mary is kind and vice versa.
If someone is not wise or not strong then mary is both calm and not quiet.
If someone is not curious then someone is brave or not funny.
Everyone who is either not funny or not humble is not pa... | Alice is not generous. | contradiction | (![X]:(~rich(X)=>(rich(X)&~funny(X))))&
((?[X]:((~curious(X)<~>old(X))))<=>(kind(mary)))&
((?[X]:((~wise(X)|~strong(X))))=>((calm(mary)&~quiet(mary))))&
((?[X]:(~curious(X)))=>(?[X]:((brave(X)|~funny(X)))))&
(![X]:((~funny(X)<~>~humble(X))=>~patient(X)))&
((?[X]:(calm(X)))<=>(?[X]:(~funny(X))))&
((~quiet(susan))=>(?[X]... | ~generous(alice) | [
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 707132657382161120694009
% SZS output start Proof for 707132657382161120694009
11. ! [X0] : ((kind(X0) & curious(X0)) <=> (generous(X0) | ~kind(X0))) [input p10]
21. curious(alice) [input p20]
25. ~generous(alice) [input hypothesis]
64. ! [X0] : (((kind(X0) & curious(X0)) | (~generous(X0)... | 0 |
Everyone who is either strong or old is either not quiet or not creative and vice versa.
Everyone who is funny is both funny and wise and vice versa.
Everyone who is either not brave or not kind is both not happy and not humble.
If paul is either patient or creative then someone is either humble or calm.
If someone is ... | Mary is not humble. | entailment | (![X]:((strong(X)<~>old(X))<=>(~quiet(X)<~>~creative(X))))&
(![X]:(funny(X)<=>(funny(X)&wise(X))))&
(![X]:((~brave(X)<~>~kind(X))=>(~happy(X)&~humble(X))))&
(((patient(paul)<~>creative(paul)))=>(?[X]:((humble(X)<~>calm(X)))))&
((?[X]:((~rich(X)<~>calm(X))))=>((~creative(fred)&patient(fred))))&
((strong(alice))<=>(?[X]:... | ~humble(mary) | [
"p0",
"p9",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5989861926788927496746905
% SZS output start Proof for 5989861926788927496746905
1. ! [X0] : ((strong(X0) <~> old(X0)) <=> (~quiet(X0) <~> ~creative(X0))) [input p0]
10. ! [X0] : (wise(X0) <=> (~creative(X0) | ~tall(X0))) [input p9]
11. (~tall(susan) | ~strong(susan)) <=> humble(mary) [in... | 0 |
Everyone who is not rich or not quiet is both not curious and not generous and vice versa.
Everyone who is not tall or humble is not calm or not brave.
Everyone who is strong or brave is both calm and tall and vice versa.
Everyone who is either creative or funny is either curious or not wise and vice versa.
If someone ... | Lucy is not humble. | entailment | (![X]:((~rich(X)|~quiet(X))<=>(~curious(X)&~generous(X))))&
(![X]:((~tall(X)|humble(X))=>(~calm(X)|~brave(X))))&
(![X]:((strong(X)|brave(X))<=>(calm(X)&tall(X))))&
(![X]:((creative(X)<~>funny(X))<=>(curious(X)<~>~wise(X))))&
((?[X]:(~tall(X)))=>(humble(alice)))&
((?[X]:((~wise(X)<~>brave(X))))<=>(?[X]:((kind(X)<~>~stro... | ~humble(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5739840155473302183145887
% SZS output start Proof for 5739840155473302183145887
13. ! [X0] : ((~curious(X0) <~> curious(X0)) <=> ~humble(X0)) [input p12]
24. humble(lucy) [input hypothesis]
62. ! [X0] : ((((~curious(X0) | curious(X0)) & (curious(X0) | ~curious(X0))) | humble(X0)) & (~hum... | 0 |
If john is both not kind and happy then someone is happy. If someone is both kind and happy then someone is kind. If someone is old then someone is tall and vice versa. If someone is both not creative and funny then someone is not humble or not creative and vice versa. If john is not calm or patient then susan is happy... | John is not quiet. | contradiction | (((~kind(john)&happy(john)))=>(?[X]:(happy(X))))&
((?[X]:((kind(X)&happy(X))))=>(?[X]:(kind(X))))&
((?[X]:(old(X)))<=>(?[X]:(tall(X))))&
((?[X]:((~creative(X)&funny(X))))<=>(?[X]:((~humble(X)|~creative(X)))))&
(((~calm(john)|patient(john)))=>(happy(susan)))&
(![X]:((~wise(X)|~tall(X))<=>(~kind(X)&~humble(X))))&
(((calm... | ~quiet(john) | [
"p3",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1865834467292971678515049
% SZS output start Proof for 1865834467292971678515049
4. ? [X0] : (funny(X0) & ~creative(X0)) <=> ? [X0] : (~creative(X0) | ~humble(X0)) [input p3]
6. ! [X0] : ((~tall(X0) | ~wise(X0)) <=> (~humble(X0) & ~kind(X0))) [input p5]
11. ? [X0] : (~quiet(X0) & tall(X0)... | 0 |
Everyone who is not brave or not old is either not creative or quiet and vice versa.
If lucy is generous then alice is either quiet or not happy and vice versa.
If john is either quiet or patient then someone is both not wise and old and vice versa.
Everyone who is tall is curious and vice versa.
If john is both not ol... | John is not brave. | entailment | (![X]:((~brave(X)|~old(X))<=>(~creative(X)<~>quiet(X))))&
((generous(lucy))<=>((quiet(alice)<~>~happy(alice))))&
(((quiet(john)<~>patient(john)))<=>(?[X]:((~wise(X)&old(X)))))&
(![X]:(tall(X)<=>curious(X)))&
(((~old(john)&happy(john)))=>(?[X]:((patient(X)|generous(X)))))&
((~kind(mary))=>(?[X]:((~wise(X)|funny(X)))))&
... | ~brave(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2203187430480351861718482
% SZS output start Proof for 2203187430480351861718482
9. ! [X0] : ((old(X0) & ~brave(X0)) <=> brave(X0)) [input p8]
24. brave(john) [input hypothesis]
53. ! [X0] : (((old(X0) & ~brave(X0)) | ~brave(X0)) & (brave(X0) | (~old(X0) | brave(X0)))) [nnf transformation... | 0 |
Everyone who is both humble and brave is both not happy and wise and vice versa.
Everyone who is either creative or kind is curious and vice versa.
Everyone who is both old and not humble is either brave or not wise.
Everyone who is either not brave or calm is either rich or not funny.
If paul is both funny and not old... | John is old. | contradiction | (![X]:((humble(X)&brave(X))<=>(~happy(X)&wise(X))))&
(![X]:((creative(X)<~>kind(X))<=>curious(X)))&
(![X]:((old(X)&~humble(X))=>(brave(X)<~>~wise(X))))&
(![X]:((~brave(X)<~>calm(X))=>(rich(X)<~>~funny(X))))&
(((funny(paul)&~old(paul)))=>(?[X]:((curious(X)|~calm(X)))))&
((funny(john))<=>((~old(paul)&humble(paul))))&
(![... | old(john) | [
"p2",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 400362445227160872484045
% SZS output start Proof for 400362445227160872484045
3. ! [X0] : ((~humble(X0) & old(X0)) => (brave(X0) <~> ~wise(X0))) [input p2]
10. ! [X0] : ((~humble(X0) & ~strong(X0)) <=> (rich(X0) | old(X0))) [input p9]
11. ! [X0] : (~wise(X0) <=> strong(X0)) [input p10]
1... | 0 |
If fred is both not calm and creative then alice is not patient and vice versa. If someone is both not strong and quiet then lucy is old and vice versa. Everyone who is both not wise and quiet is curious or not kind. If someone is both not strong and not happy then someone is not kind or not quiet. Everyone who is not ... | John is not quiet. | neutral | (((~calm(fred)&creative(fred)))<=>(~patient(alice)))&
((?[X]:((~strong(X)&quiet(X))))<=>(old(lucy)))&
(![X]:((~wise(X)&quiet(X))=>(curious(X)|~kind(X))))&
((?[X]:((~strong(X)&~happy(X))))=>(?[X]:((~kind(X)|~quiet(X)))))&
(![X]:(~tall(X)=>(funny(X)<~>happy(X))))&
(![X]:((humble(X)|~strong(X))=>(~funny(X)&patient(X))))&
... | ~quiet(john) | [] | null | 0 |
Everyone who is either wise or not humble is kind and vice versa. Everyone who is either not strong or not generous is both humble and kind. Everyone who is patient or rich is not generous. Everyone who is either not calm or funny is tall or not rich. If someone is not happy or not patient then someone is old and vice ... | Alice is not wise. | entailment | (![X]:((wise(X)<~>~humble(X))<=>kind(X)))&
(![X]:((~strong(X)<~>~generous(X))=>(humble(X)&kind(X))))&
(![X]:((patient(X)|rich(X))=>~generous(X)))&
(![X]:((~calm(X)<~>funny(X))=>(tall(X)|~rich(X))))&
((?[X]:((~happy(X)|~patient(X))))<=>(?[X]:(old(X))))&
(((happy(john)|calm(john)))<=>(?[X]:((~creative(X)<~>~strong(X)))))... | ~wise(alice) | [
"p3",
"p6",
"p7",
"p8",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4313621181928135152732308
% SZS output start Proof for 4313621181928135152732308
4. ! [X0] : ((~calm(X0) <~> funny(X0)) => (~rich(X0) | tall(X0))) [input p3]
7. ! [X0] : (patient(X0) => ~quiet(X0)) [input p6]
8. ? [X0] : (~curious(X0) | ~humble(X0)) => (~creative(alice) & rich(alice)) [in... | 0 |
If someone is not patient or not tall then alice is either not patient or not wise. Everyone who is either wise or creative is either not rich or not funny and vice versa. Everyone who is not curious is both calm and not wise. Everyone who is not funny is patient or not wise and vice versa. If someone is happy or brave... | Paul is rich. | neutral | ((?[X]:((~patient(X)|~tall(X))))=>((~patient(alice)<~>~wise(alice))))&
(![X]:((wise(X)<~>creative(X))<=>(~rich(X)<~>~funny(X))))&
(![X]:(~curious(X)=>(calm(X)&~wise(X))))&
(![X]:(~funny(X)<=>(patient(X)|~wise(X))))&
((?[X]:((happy(X)|brave(X))))=>((~calm(john)<~>rich(john))))&
(![X]:(funny(X)<=>(wise(X)<~>~patient(X)))... | rich(paul) | [] | null | 0 |
Everyone who is either not calm or not brave is both not tall and creative.
Everyone who is strong is funny.
Everyone who is both quiet and not humble is old and vice versa.
Everyone who is not brave is either not rich or wise.
If someone is happy or funny then someone is not happy and vice versa.
If john is not wise o... | Paul is not funny. | contradiction | (![X]:((~calm(X)<~>~brave(X))=>(~tall(X)&creative(X))))&
(![X]:(strong(X)=>funny(X)))&
(![X]:((quiet(X)&~humble(X))<=>old(X)))&
(![X]:(~brave(X)=>(~rich(X)<~>wise(X))))&
((?[X]:((happy(X)|funny(X))))<=>(?[X]:(~happy(X))))&
(((~wise(john)|~happy(john)))=>(tall(susan)))&
(![X]:((~wise(X)&rich(X))=>~calm(X)))&
(![X]:((~fu... | ~funny(paul) | [
"p1",
"p2",
"p6",
"p7",
"p9",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5187488450555831753571520
% SZS output start Proof for 5187488450555831753571520
2. ! [X0] : (strong(X0) => funny(X0)) [input p1]
3. ! [X0] : ((~humble(X0) & quiet(X0)) <=> old(X0)) [input p2]
7. ! [X0] : ((rich(X0) & ~wise(X0)) => ~calm(X0)) [input p6]
8. ! [X0] : ((~funny(X0) <~> funny(... | 0 |
If someone is humble then paul is either not humble or wise. If fred is both generous and funny then paul is generous or not calm. If someone is not strong or not happy then paul is quiet and vice versa. If paul is either not wise or calm then john is both creative and strong. Everyone who is both not patient and stron... | Lucy is kind. | contradiction | ((?[X]:(humble(X)))=>((~humble(paul)<~>wise(paul))))&
(((generous(fred)&funny(fred)))=>((generous(paul)|~calm(paul))))&
((?[X]:((~strong(X)|~happy(X))))<=>(quiet(paul)))&
(((~wise(paul)<~>calm(paul)))=>((creative(john)&strong(john))))&
(![X]:((~patient(X)&strong(X))=>~calm(X)))&
(![X]:(~quiet(X)=>(~tall(X)<~>generous(X... | kind(lucy) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4958161504572281553617687
% SZS output start Proof for 4958161504572281553617687
14. ! [X0] : ((~patient(X0) & kind(X0)) <=> (tall(X0) | kind(X0))) [input p13]
16. ! [X0] : (~patient(X0) <=> (creative(X0) & ~kind(X0))) [input p15]
25. kind(lucy) [input hypothesis]
62. ! [X0] : (((~patient... | 0 |
Everyone who is strong or not patient is rich or not calm and vice versa.
Everyone who is not brave or not humble is both not tall and humble.
If fred is not kind then lucy is both not tall and generous and vice versa.
Everyone who is not generous is curious.
Everyone who is either not funny or kind is either patient o... | Alice is generous. | entailment | (![X]:((strong(X)|~patient(X))<=>(rich(X)|~calm(X))))&
(![X]:((~brave(X)|~humble(X))=>(~tall(X)&humble(X))))&
((~kind(fred))<=>((~tall(lucy)&generous(lucy))))&
(![X]:(~generous(X)=>curious(X)))&
(![X]:((~funny(X)<~>kind(X))=>(patient(X)<~>kind(X))))&
(![X]:((~strong(X)<~>humble(X))=>(~wise(X)&~patient(X))))&
(![X]:(old... | generous(alice) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7957900069952755603706424
% SZS output start Proof for 7957900069952755603706424
2. ! [X0] : ((~humble(X0) | ~brave(X0)) => (humble(X0) & ~tall(X0))) [input p1]
4. ! [X0] : (~generous(X0) => curious(X0)) [input p3]
5. ! [X0] : ((~funny(X0) <~> kind(X0)) => (patient(X0) <~> kind(X0))) [inp... | 0 |
If alice is either not calm or not strong then someone is not brave or not humble and vice versa. Everyone who is both strong and not curious is both old and strong and vice versa. If fred is both curious and quiet then alice is tall or quiet and vice versa. Everyone who is not generous or not rich is either not patien... | Susan is not creative. | neutral | (((~calm(alice)<~>~strong(alice)))<=>(?[X]:((~brave(X)|~humble(X)))))&
(![X]:((strong(X)&~curious(X))<=>(old(X)&strong(X))))&
(((curious(fred)&quiet(fred)))<=>((tall(alice)|quiet(alice))))&
(![X]:((~generous(X)|~rich(X))<=>(~patient(X)<~>wise(X))))&
(![X]:(~brave(X)=>wise(X)))&
(![X]:((~brave(X)<~>~humble(X))=>(~brave(... | ~creative(susan) | [] | null | 0 |
If someone is both not happy and kind then someone is both tall and old and vice versa.
If alice is old or curious then alice is wise.
If mary is either rich or generous then someone is either not kind or happy.
Everyone who is either strong or patient is patient or not quiet.
Everyone who is either calm or old is not ... | Susan is creative. | neutral | ((?[X]:((~happy(X)&kind(X))))<=>(?[X]:((tall(X)&old(X)))))&
(((old(alice)|curious(alice)))=>(wise(alice)))&
(((rich(mary)<~>generous(mary)))=>(?[X]:((~kind(X)<~>happy(X)))))&
(![X]:((strong(X)<~>patient(X))=>(patient(X)|~quiet(X))))&
(![X]:((calm(X)<~>old(X))<=>~quiet(X)))&
(![X]:((~tall(X)&wise(X))<=>kind(X)))&
(![X]:... | creative(susan) | [] | null | 0 |
Everyone who is both wise and not old is kind or humble and vice versa. If susan is either tall or happy then alice is either not patient or humble. If alice is both not kind and not generous then paul is either humble or wise and vice versa. Everyone who is tall or generous is not happy. Everyone who is quiet or not p... | Alice is funny. | neutral | (![X]:((wise(X)&~old(X))<=>(kind(X)|humble(X))))&
(((tall(susan)<~>happy(susan)))=>((~patient(alice)<~>humble(alice))))&
(((~kind(alice)&~generous(alice)))<=>((humble(paul)<~>wise(paul))))&
(![X]:((tall(X)|generous(X))=>~happy(X)))&
(![X]:((quiet(X)|~patient(X))<=>~humble(X)))&
(![X]:(humble(X)<=>~quiet(X)))&
(![X]:(~c... | funny(alice) | [] | null | 0 |
Everyone who is both patient and calm is either not happy or old.
Everyone who is both old and brave is either not humble or curious.
If fred is kind then someone is both brave and not creative and vice versa.
Everyone who is not creative or not rich is not tall and vice versa.
If someone is old or happy then john is p... | John is not strong. | contradiction | (![X]:((patient(X)&calm(X))=>(~happy(X)<~>old(X))))&
(![X]:((old(X)&brave(X))=>(~humble(X)<~>curious(X))))&
((kind(fred))<=>(?[X]:((brave(X)&~creative(X)))))&
(![X]:((~creative(X)|~rich(X))<=>~tall(X)))&
((?[X]:((old(X)|happy(X))))<=>((patient(john)|~patient(john))))&
((?[X]:(~strong(X)))<=>((~curious(john)<~>tall(john... | ~strong(john) | [
"p1",
"p2",
"p3",
"p5",
"p7",
"p8",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5110411779410163671814644
% SZS output start Proof for 5110411779410163671814644
2. ! [X0] : ((brave(X0) & old(X0)) => (~humble(X0) <~> curious(X0))) [input p1]
3. kind(fred) <=> ? [X0] : (~creative(X0) & brave(X0)) [input p2]
4. ! [X0] : ((~rich(X0) | ~creative(X0)) <=> ~tall(X0)) [input... | 0 |
Everyone who is not creative is not funny and vice versa. Everyone who is creative is either curious or not wise. Everyone who is tall is both not wise and not quiet and vice versa. Everyone who is not wise or not kind is both not generous and not calm. If john is humble then lucy is humble and vice versa. Everyone who... | Alice is old. | contradiction | (![X]:(~creative(X)<=>~funny(X)))&
(![X]:(creative(X)=>(curious(X)<~>~wise(X))))&
(![X]:(tall(X)<=>(~wise(X)&~quiet(X))))&
(![X]:((~wise(X)|~kind(X))=>(~generous(X)&~calm(X))))&
((humble(john))<=>(humble(lucy)))&
(![X]:(calm(X)=>tall(X)))&
((brave(paul))<=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:((brave(X)|~humble(X))<=>... | old(alice) | [
"p2",
"p3",
"p5",
"p7",
"p8",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7436068572331589725533869
% SZS output start Proof for 7436068572331589725533869
3. ! [X0] : (tall(X0) <=> (~quiet(X0) & ~wise(X0))) [input p2]
4. ! [X0] : ((~kind(X0) | ~wise(X0)) => (~calm(X0) & ~generous(X0))) [input p3]
6. ! [X0] : (calm(X0) => tall(X0)) [input p5]
8. ! [X0] : ((~humb... | 0 |
Everyone who is either rich or not calm is either not patient or not wise.
If paul is either humble or not humble then someone is patient and vice versa.
Everyone who is not wise is either not generous or not kind and vice versa.
If someone is not curious then someone is not old or not strong and vice versa.
Everyone w... | Fred is not humble. | entailment | (![X]:((rich(X)<~>~calm(X))=>(~patient(X)<~>~wise(X))))&
(((humble(paul)<~>~humble(paul)))<=>(?[X]:(patient(X))))&
(![X]:(~wise(X)<=>(~generous(X)<~>~kind(X))))&
((?[X]:(~curious(X)))<=>(?[X]:((~old(X)|~strong(X)))))&
(![X]:((tall(X)|creative(X))<=>(strong(X)&humble(X))))&
(![X]:((~calm(X)&curious(X))=>~kind(X)))&
(![X... | ~humble(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 255082355065216562694069
% SZS output start Proof for 255082355065216562694069
11. ! [X0] : ((quiet(X0) & ~humble(X0)) <=> (~old(X0) <~> old(X0))) [input p10]
23. humble(fred) [input hypothesis]
54. ! [X0] : (((quiet(X0) & ~humble(X0)) | ((~old(X0) | ~old(X0)) & (old(X0) | old(X0)))) & ((... | 0 |
Everyone who is happy or humble is either not wise or not happy and vice versa. If someone is not tall then paul is either old or not calm and vice versa. Everyone who is not humble is not quiet and vice versa. Everyone who is not quiet is both not brave and quiet and vice versa. Everyone who is either not wise or stro... | Fred is happy. | entailment | (![X]:((happy(X)|humble(X))<=>(~wise(X)<~>~happy(X))))&
((?[X]:(~tall(X)))<=>((old(paul)<~>~calm(paul))))&
(![X]:(~humble(X)<=>~quiet(X)))&
(![X]:(~quiet(X)<=>(~brave(X)&quiet(X))))&
(![X]:((~wise(X)<~>strong(X))<=>~wise(X)))&
((?[X]:((creative(X)<~>strong(X))))<=>((~wise(paul)<~>~strong(paul))))&
(![X]:((~curious(X)<~... | happy(fred) | [
"p0",
"p2",
"p3",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2011737473580394772688486
% SZS output start Proof for 2011737473580394772688486
1. ! [X0] : ((humble(X0) | happy(X0)) <=> (~wise(X0) <~> ~happy(X0))) [input p0]
3. ! [X0] : (~humble(X0) <=> ~quiet(X0)) [input p2]
4. ! [X0] : (~quiet(X0) <=> (quiet(X0) & ~brave(X0))) [input p3]
10. ! [X0]... | 0 |
Everyone who is patient is both tall and not calm.
If lucy is both not calm and not curious then alice is not old or humble and vice versa.
If fred is either not humble or calm then someone is either not funny or not generous.
Everyone who is quiet or not strong is both not rich and calm.
If fred is both not creative a... | John is happy. | contradiction | (![X]:(patient(X)=>(tall(X)&~calm(X))))&
(((~calm(lucy)&~curious(lucy)))<=>((~old(alice)|humble(alice))))&
(((~humble(fred)<~>calm(fred)))=>(?[X]:((~funny(X)<~>~generous(X)))))&
(![X]:((quiet(X)|~strong(X))=>(~rich(X)&calm(X))))&
(((~creative(fred)&generous(fred)))<=>(?[X]:((~rich(X)<~>~generous(X)))))&
(((old(lucy)&cr... | happy(john) | [
"p0",
"p3",
"p6",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6091117338784783212556786
% SZS output start Proof for 6091117338784783212556786
1. ! [X0] : (patient(X0) => (~calm(X0) & tall(X0))) [input p0]
4. ! [X0] : ((~strong(X0) | quiet(X0)) => (calm(X0) & ~rich(X0))) [input p3]
7. ! [X0] : (~brave(X0) <=> ~creative(X0)) [input p6]
9. ! [X0] : ((... | 0 |
Everyone who is not kind or patient is both not old and not strong and vice versa.
If someone is either old or not rich then mary is humble.
Everyone who is both patient and not calm is rich.
Everyone who is patient or not rich is happy or generous and vice versa.
If paul is either not strong or creative then someone i... | John is not creative. | neutral | (![X]:((~kind(X)|patient(X))<=>(~old(X)&~strong(X))))&
((?[X]:((old(X)<~>~rich(X))))=>(humble(mary)))&
(![X]:((patient(X)&~calm(X))=>rich(X)))&
(![X]:((patient(X)|~rich(X))<=>(happy(X)|generous(X))))&
(((~strong(paul)<~>creative(paul)))=>(?[X]:(tall(X))))&
(![X]:((strong(X)<~>~kind(X))=>~patient(X)))&
(((~creative(mary... | ~creative(john) | [] | null | 0 |
If paul is not funny then mary is both not patient and not calm. Everyone who is either kind or not generous is both funny and calm and vice versa. Everyone who is either not strong or not brave is not kind. If someone is both not humble and patient then someone is both not patient and not strong. Everyone who is not b... | John is strong. | neutral | ((~funny(paul))=>((~patient(mary)&~calm(mary))))&
(![X]:((kind(X)<~>~generous(X))<=>(funny(X)&calm(X))))&
(![X]:((~strong(X)<~>~brave(X))=>~kind(X)))&
((?[X]:((~humble(X)&patient(X))))=>(?[X]:((~patient(X)&~strong(X)))))&
(![X]:(~brave(X)<=>~calm(X)))&
(![X]:((~funny(X)&~quiet(X))=>~calm(X)))&
(![X]:((wise(X)<~>patient... | strong(john) | [] | null | 0 |
If someone is old or not brave then someone is not patient and vice versa.
If fred is not strong then alice is not patient and vice versa.
Everyone who is brave is patient or not wise and vice versa.
If susan is not quiet then someone is rich or generous and vice versa.
Everyone who is both not calm and not creative is... | Alice is not wise. | contradiction | ((?[X]:((old(X)|~brave(X))))<=>(?[X]:(~patient(X))))&
((~strong(fred))<=>(~patient(alice)))&
(![X]:(brave(X)<=>(patient(X)|~wise(X))))&
((~quiet(susan))<=>(?[X]:((rich(X)|generous(X)))))&
(![X]:((~calm(X)&~creative(X))=>old(X)))&
(![X]:((~old(X)&~wise(X))<=>~brave(X)))&
(![X]:(curious(X)=>(creative(X)&~wise(X))))&
(![X... | ~wise(alice) | [
"p0",
"p2",
"p5",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6159626724677938091438028
% SZS output start Proof for 6159626724677938091438028
1. ? [X0] : (~brave(X0) | old(X0)) <=> ? [X0] : ~patient(X0) [input p0]
3. ! [X0] : (brave(X0) <=> (~wise(X0) | patient(X0))) [input p2]
6. ! [X0] : ((~wise(X0) & ~old(X0)) <=> ~brave(X0)) [input p5]
8. ! [X0... | 0 |
Everyone who is both calm and not happy is either patient or not patient and vice versa.
If someone is creative or not tall then lucy is either not happy or funny.
Everyone who is creative or not funny is both not strong and kind.
If someone is either funny or humble then someone is both not curious and generous and vi... | Mary is not calm. | contradiction | (![X]:((calm(X)&~happy(X))<=>(patient(X)<~>~patient(X))))&
((?[X]:((creative(X)|~tall(X))))=>((~happy(lucy)<~>funny(lucy))))&
(![X]:((creative(X)|~funny(X))=>(~strong(X)&kind(X))))&
((?[X]:((funny(X)<~>humble(X))))<=>(?[X]:((~curious(X)&generous(X)))))&
(![X]:(~funny(X)<=>(rich(X)<~>strong(X))))&
(![X]:(kind(X)<=>(~ric... | ~calm(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7961326207768903779388842
% SZS output start Proof for 7961326207768903779388842
1. ! [X0] : ((~happy(X0) & calm(X0)) <=> (patient(X0) <~> ~patient(X0))) [input p0]
23. ~calm(mary) [input hypothesis]
45. ! [X0] : (((~happy(X0) & calm(X0)) | ((patient(X0) | patient(X0)) & (~patient(X0) | ~... | 0 |
Everyone who is both humble and strong is not brave or not rich. Everyone who is either not curious or not rich is either not generous or not quiet and vice versa. If alice is both calm and not generous then fred is not tall and vice versa. Everyone who is not brave or not calm is either funny or not rich and vice vers... | Mary is not humble. | neutral | (![X]:((humble(X)&strong(X))=>(~brave(X)|~rich(X))))&
(![X]:((~curious(X)<~>~rich(X))<=>(~generous(X)<~>~quiet(X))))&
(((calm(alice)&~generous(alice)))<=>(~tall(fred)))&
(![X]:((~brave(X)|~calm(X))<=>(funny(X)<~>~rich(X))))&
((quiet(fred))=>(?[X]:((~humble(X)|rich(X)))))&
(((~humble(mary)<~>generous(mary)))<=>(?[X]:((f... | ~humble(mary) | [] | null | 0 |
If mary is either not patient or humble then someone is either not humble or rich and vice versa.
Everyone who is not kind or quiet is either not kind or tall.
Everyone who is not calm is quiet.
Everyone who is kind is not old.
Everyone who is not funny is not rich or not tall.
Everyone who is not rich or not happy is ... | Mary is not tall. | contradiction | (((~patient(mary)<~>humble(mary)))<=>(?[X]:((~humble(X)<~>rich(X)))))&
(![X]:((~kind(X)|quiet(X))=>(~kind(X)<~>tall(X))))&
(![X]:(~calm(X)=>quiet(X)))&
(![X]:(kind(X)=>~old(X)))&
(![X]:(~funny(X)=>(~rich(X)|~tall(X))))&
(![X]:((~rich(X)|~happy(X))=>(~calm(X)|brave(X))))&
(![X]:(creative(X)=>(funny(X)|kind(X))))&
(![X]:... | ~tall(mary) | [
"p2",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 251357145364892589056870
% SZS output start Proof for 251357145364892589056870
3. ! [X0] : (~calm(X0) => quiet(X0)) [input p2]
6. ! [X0] : ((~happy(X0) | ~rich(X0)) => (brave(X0) | ~calm(X0))) [input p5]
8. ! [X0] : ((tall(X0) & ~funny(X0)) <=> (brave(X0) | quiet(X0))) [input p7]
10. ! [X... | 0 |
Everyone who is tall is either not calm or funny and vice versa.
If someone is either wise or not curious then susan is not quiet or brave.
If someone is both rich and happy then fred is both not quiet and calm and vice versa.
Everyone who is both not humble and creative is funny.
If lucy is strong or not kind then pau... | Mary is not happy. | entailment | (![X]:(tall(X)<=>(~calm(X)<~>funny(X))))&
((?[X]:((wise(X)<~>~curious(X))))=>((~quiet(susan)|brave(susan))))&
((?[X]:((rich(X)&happy(X))))<=>((~quiet(fred)&calm(fred))))&
(![X]:((~humble(X)&creative(X))=>funny(X)))&
(((strong(lucy)|~kind(lucy)))<=>((strong(paul)|curious(paul))))&
(![X]:((tall(X)|~strong(X))=>(curious(X... | ~happy(mary) | [
"p2",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4322375207466486036402552
% SZS output start Proof for 4322375207466486036402552
3. ? [X0] : (happy(X0) & rich(X0)) <=> (calm(fred) & ~quiet(fred)) [input p2]
13. ! [X0] : ((~quiet(X0) | tall(X0)) => kind(X0)) [input p12]
14. ! [X0] : ((~creative(X0) & rich(X0)) <=> (~calm(X0) | calm(X0))... | 0 |
Everyone who is curious is not brave and vice versa.
If someone is rich or wise then someone is patient.
Everyone who is humble or not creative is either wise or not old and vice versa.
If lucy is either humble or wise then someone is both not quiet and patient and vice versa.
Everyone who is not creative is both stron... | Susan is humble. | entailment | (![X]:(curious(X)<=>~brave(X)))&
((?[X]:((rich(X)|wise(X))))=>(?[X]:(patient(X))))&
(![X]:((humble(X)|~creative(X))<=>(wise(X)<~>~old(X))))&
(((humble(lucy)<~>wise(lucy)))<=>(?[X]:((~quiet(X)&patient(X)))))&
(![X]:(~creative(X)<=>(strong(X)&creative(X))))&
(![X]:(~brave(X)<=>(brave(X)&~generous(X))))&
(![X]:((~quiet(X)... | humble(susan) | [
"p4",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2685866727099966269321496
% SZS output start Proof for 2685866727099966269321496
5. ! [X0] : (~creative(X0) <=> (creative(X0) & strong(X0))) [input p4]
6. ! [X0] : (~brave(X0) <=> (~generous(X0) & brave(X0))) [input p5]
9. ! [X0] : (~calm(X0) <=> creative(X0)) [input p8]
13. ! [X0] : (hum... | 0 |
Everyone who is both generous and curious is not creative and vice versa. If mary is both brave and strong then alice is both calm and not humble. Everyone who is not humble is either strong or calm and vice versa. Everyone who is not wise is calm or not funny and vice versa. If fred is rich or not creative then john i... | Susan is not creative. | contradiction | (![X]:((generous(X)&curious(X))<=>~creative(X)))&
(((brave(mary)&strong(mary)))=>((calm(alice)&~humble(alice))))&
(![X]:(~humble(X)<=>(strong(X)<~>calm(X))))&
(![X]:(~wise(X)<=>(calm(X)|~funny(X))))&
(((rich(fred)|~creative(fred)))=>((strong(john)<~>~old(john))))&
(((~humble(fred)|~quiet(fred)))<=>((~tall(fred)<~>~crea... | ~creative(susan) | [
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3447177539292205404499301
% SZS output start Proof for 3447177539292205404499301
13. ! [X0] : ((~old(X0) | ~creative(X0)) <=> (~funny(X0) & ~brave(X0))) [input p12]
19. brave(susan) [input p18]
25. ~creative(susan) [input hypothesis]
55. ! [X0] : (((~old(X0) | ~creative(X0)) | (funny(X0) ... | 0 |
Everyone who is not curious is not kind and vice versa. Everyone who is either strong or not wise is happy and vice versa. Everyone who is curious is calm. Everyone who is either curious or not brave is strong and vice versa. Everyone who is either not wise or not kind is both quiet and brave and vice versa. Everyone w... | Fred is curious. | entailment | (![X]:(~curious(X)<=>~kind(X)))&
(![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious(X)&~creative(X))<=>(~funny(X)|calm(X))))&
((rich(fred))=>(?[X]:((~strong(X)&kind(X)))))&
(![X]:(... | curious(fred) | [
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6874128852028424035816838
% SZS output start Proof for 6874128852028424035816838
4. ! [X0] : ((curious(X0) <~> ~brave(X0)) <=> strong(X0)) [input p3]
14. ! [X0] : (strong(X0) <=> brave(X0)) [input p13]
20. ~curious(fred) [input hypothesis]
30. ! [X0] : ((((brave(X0) | ~curious(X0)) & (~br... | 0 |
If someone is not calm or strong then susan is either not tall or quiet and vice versa.
If someone is not humble then fred is not tall.
If fred is both not patient and tall then someone is not old or kind.
Everyone who is not calm or curious is not happy.
Everyone who is not funny or not humble is humble and vice versa... | Lucy is calm. | entailment | ((?[X]:((~calm(X)|strong(X))))<=>((~tall(susan)<~>quiet(susan))))&
((?[X]:(~humble(X)))=>(~tall(fred)))&
(((~patient(fred)&tall(fred)))=>(?[X]:((~old(X)|kind(X)))))&
(![X]:((~calm(X)|curious(X))=>~happy(X)))&
(![X]:((~funny(X)|~humble(X))<=>humble(X)))&
((?[X]:(~kind(X)))=>(?[X]:((brave(X)&~creative(X)))))&
((?[X]:((~c... | calm(lucy) | [
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6240070341350622744728495
% SZS output start Proof for 6240070341350622744728495
5. ! [X0] : ((~humble(X0) | ~funny(X0)) <=> humble(X0)) [input p4]
19. ~humble(lucy) <~> calm(lucy) [input p18]
24. ~calm(lucy) [input hypothesis]
43. ! [X0] : (((~humble(X0) | ~funny(X0)) | ~humble(X0)) & (h... | 0 |
If someone is either not generous or strong then someone is not brave or not quiet and vice versa.
If fred is not patient then someone is not tall or patient and vice versa.
Everyone who is either not tall or not humble is both not strong and not tall and vice versa.
Everyone who is not patient or not kind is either ge... | Lucy is not patient. | neutral | ((?[X]:((~generous(X)<~>strong(X))))<=>(?[X]:((~brave(X)|~quiet(X)))))&
((~patient(fred))<=>(?[X]:((~tall(X)|patient(X)))))&
(![X]:((~tall(X)<~>~humble(X))<=>(~strong(X)&~tall(X))))&
(![X]:((~patient(X)|~kind(X))<=>(generous(X)<~>~curious(X))))&
(![X]:(~wise(X)=>tall(X)))&
(![X]:((creative(X)<~>~patient(X))<=>(creative... | ~patient(lucy) | [] | null | 0 |
Everyone who is either not strong or not kind is not rich.
Everyone who is humble is brave.
If paul is not funny or not creative then fred is not patient.
Everyone who is curious or funny is both not funny and not happy.
Everyone who is both not creative and calm is both not rich and kind and vice versa.
Everyone who i... | John is not rich. | contradiction | (![X]:((~strong(X)<~>~kind(X))=>~rich(X)))&
(![X]:(humble(X)=>brave(X)))&
(((~funny(paul)|~creative(paul)))=>(~patient(fred)))&
(![X]:((curious(X)|funny(X))=>(~funny(X)&~happy(X))))&
(![X]:((~creative(X)&calm(X))<=>(~rich(X)&kind(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(~happy(X)<~>~rich(X))))&
(((~tall(john)|~quiet(... | ~rich(john) | [
"p1",
"p3",
"p5",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6316379410237868867958899
% SZS output start Proof for 6316379410237868867958899
2. ! [X0] : (humble(X0) => brave(X0)) [input p1]
4. ! [X0] : ((funny(X0) | curious(X0)) => (~happy(X0) & ~funny(X0))) [input p3]
6. ! [X0] : ((creative(X0) <~> ~brave(X0)) <=> (~happy(X0) <~> ~rich(X0))) [inp... | 0 |
Everyone who is kind is either not kind or not happy and vice versa.
Everyone who is both not curious and generous is kind or tall and vice versa.
If someone is both calm and not patient then john is either strong or kind.
Everyone who is either curious or not old is kind or not calm and vice versa.
If paul is not rich... | John is generous. | contradiction | (![X]:(kind(X)<=>(~kind(X)<~>~happy(X))))&
(![X]:((~curious(X)&generous(X))<=>(kind(X)|tall(X))))&
((?[X]:((calm(X)&~patient(X))))=>((strong(john)<~>kind(john))))&
(![X]:((curious(X)<~>~old(X))<=>(kind(X)|~calm(X))))&
((~rich(paul))=>(humble(alice)))&
(![X]:((~quiet(X)&~kind(X))=>(brave(X)<~>~wise(X))))&
(![X]:((~happy... | generous(john) | [
"p0",
"p1",
"p3",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 811936607370493514685960
% SZS output start Proof for 811936607370493514685960
1. ! [X0] : (kind(X0) <=> (~kind(X0) <~> ~happy(X0))) [input p0]
2. ! [X0] : ((generous(X0) & ~curious(X0)) <=> (tall(X0) | kind(X0))) [input p1]
4. ! [X0] : ((curious(X0) <~> ~old(X0)) <=> (~calm(X0) | kind(X0... | 0 |
Everyone who is either strong or not old is strong and vice versa.
Everyone who is not quiet or generous is either kind or curious and vice versa.
If someone is curious then mary is both not humble and not wise.
Everyone who is either strong or not curious is both not humble and wise and vice versa.
Everyone who is bot... | Paul is not strong. | entailment | (![X]:((strong(X)<~>~old(X))<=>strong(X)))&
(![X]:((~quiet(X)|generous(X))<=>(kind(X)<~>curious(X))))&
((?[X]:(curious(X)))=>((~humble(mary)&~wise(mary))))&
(![X]:((strong(X)<~>~curious(X))<=>(~humble(X)&wise(X))))&
(![X]:((curious(X)&patient(X))<=>(strong(X)|happy(X))))&
(((~quiet(susan)<~>~funny(susan)))=>(?[X]:((kin... | ~strong(paul) | [
"p2",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 856924821296429183997387
% SZS output start Proof for 856924821296429183997387
3. ? [X0] : curious(X0) => (~wise(mary) & ~humble(mary)) [input p2]
5. ! [X0] : ((patient(X0) & curious(X0)) <=> (happy(X0) | strong(X0))) [input p4]
14. ! [X0] : (wise(X0) <=> (wise(X0) | ~humble(X0))) [input ... | 0 |
Everyone who is brave is creative or not quiet.
If someone is either not old or strong then someone is not brave and vice versa.
Everyone who is either funny or not rich is quiet or rich and vice versa.
If alice is either wise or not curious then someone is not calm.
Everyone who is not calm is either not humble or cre... | John is not creative. | entailment | (![X]:(brave(X)=>(creative(X)|~quiet(X))))&
((?[X]:((~old(X)<~>strong(X))))<=>(?[X]:(~brave(X))))&
(![X]:((funny(X)<~>~rich(X))<=>(quiet(X)|rich(X))))&
(((wise(alice)<~>~curious(alice)))=>(?[X]:(~calm(X))))&
(![X]:(~calm(X)<=>(~humble(X)<~>creative(X))))&
(((patient(alice)<~>~kind(alice)))<=>(?[X]:((~kind(X)&~curious(X... | ~creative(john) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3160236089344224907820691
% SZS output start Proof for 3160236089344224907820691
17. ~creative(john) [input p16]
25. creative(john) [input hypothesis]
153. ~creative(john) [cnf transformation 17]
165. creative(john) [cnf transformation 25]
283. 24 <=> creative(john) [avatar definition]
37... | 0 |
Everyone who is both not strong and wise is not happy or quiet and vice versa.
Everyone who is both brave and not generous is not generous and vice versa.
Everyone who is either old or kind is either not creative or funny and vice versa.
Everyone who is patient or strong is not funny or not tall and vice versa.
If mary... | Alice is not patient. | entailment | (![X]:((~strong(X)&wise(X))<=>(~happy(X)|quiet(X))))&
(![X]:((brave(X)&~generous(X))<=>~generous(X)))&
(![X]:((old(X)<~>kind(X))<=>(~creative(X)<~>funny(X))))&
(![X]:((patient(X)|strong(X))<=>(~funny(X)|~tall(X))))&
((old(mary))=>((~creative(fred)&~patient(fred))))&
(![X]:((~happy(X)<~>~old(X))=>(~curious(X)<~>tall(X))... | ~patient(alice) | [
"p0",
"p8",
"p9",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2051577701613422314726261
% SZS output start Proof for 2051577701613422314726261
1. ! [X0] : ((wise(X0) & ~strong(X0)) <=> (quiet(X0) | ~happy(X0))) [input p0]
9. ! [X0] : ((old(X0) | patient(X0)) => (~tall(X0) & ~funny(X0))) [input p8]
10. ! [X0] : ((~humble(X0) <~> ~wise(X0)) <=> tall(X... | 0 |
If someone is both not tall and not humble then paul is funny or not tall.
If someone is both not wise and brave then alice is either rich or generous and vice versa.
Everyone who is both not generous and not tall is either quiet or not generous and vice versa.
Everyone who is wise or tall is not brave and vice versa.
... | Lucy is not kind. | neutral | ((?[X]:((~tall(X)&~humble(X))))=>((funny(paul)|~tall(paul))))&
((?[X]:((~wise(X)&brave(X))))<=>((rich(alice)<~>generous(alice))))&
(![X]:((~generous(X)&~tall(X))<=>(quiet(X)<~>~generous(X))))&
(![X]:((wise(X)|tall(X))<=>~brave(X)))&
(![X]:((tall(X)&~rich(X))<=>(kind(X)&quiet(X))))&
(![X]:((~happy(X)&strong(X))<=>old(X)... | ~kind(lucy) | [] | null | 0 |
If someone is not creative or funny then susan is both funny and not patient. If someone is both old and not strong then alice is both wise and not patient. If someone is not calm or not old then susan is either quiet or not funny. Everyone who is both not creative and old is either not happy or calm and vice versa. If... | Mary is generous. | neutral | ((?[X]:((~creative(X)|funny(X))))=>((funny(susan)&~patient(susan))))&
((?[X]:((old(X)&~strong(X))))=>((wise(alice)&~patient(alice))))&
((?[X]:((~calm(X)|~old(X))))=>((quiet(susan)<~>~funny(susan))))&
(![X]:((~creative(X)&old(X))<=>(~happy(X)<~>calm(X))))&
(((~quiet(susan)|~generous(susan)))=>((happy(lucy)<~>~creative(l... | generous(mary) | [] | null | 0 |
If john is wise then paul is both not old and not patient and vice versa. If paul is either not calm or strong then someone is either not strong or not brave. Everyone who is both wise and old is either not kind or not rich and vice versa. If someone is both not kind and happy then mary is either not tall or not happy.... | Alice is happy. | contradiction | ((wise(john))<=>((~old(paul)&~patient(paul))))&
(((~calm(paul)<~>strong(paul)))=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:((wise(X)&old(X))<=>(~kind(X)<~>~rich(X))))&
((?[X]:((~kind(X)&happy(X))))=>((~tall(mary)<~>~happy(mary))))&
(![X]:((~generous(X)|patient(X))<=>~tall(X)))&
(![X]:((~rich(X)|wise(X))=>(quiet(X)<~>hu... | happy(alice) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 559619144322422839756192
% SZS output start Proof for 559619144322422839756192
9. ? [X0] : (happy(X0) | ~generous(X0)) <=> (happy(john) & ~patient(john)) [input p8]
14. ! [X0] : (~happy(X0) <=> (~patient(X0) | ~strong(X0))) [input p13]
24. happy(alice) [input hypothesis]
51. (? [X0] : (ha... | 0 |
Everyone who is humble is not funny and vice versa.
If john is not strong or not creative then lucy is both not curious and funny.
Everyone who is both curious and not tall is both funny and not brave and vice versa.
If fred is both not brave and quiet then someone is not patient or not funny.
If someone is either stro... | Susan is funny. | contradiction | (![X]:(humble(X)<=>~funny(X)))&
(((~strong(john)|~creative(john)))=>((~curious(lucy)&funny(lucy))))&
(![X]:((curious(X)&~tall(X))<=>(funny(X)&~brave(X))))&
(((~brave(fred)&quiet(fred)))=>(?[X]:((~patient(X)|~funny(X)))))&
((?[X]:((strong(X)<~>kind(X))))=>(?[X]:((~old(X)|calm(X)))))&
((?[X]:(old(X)))=>(?[X]:((old(X)|hum... | funny(susan) | [
"p0",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6121473179341256831826154
% SZS output start Proof for 6121473179341256831826154
1. ! [X0] : (humble(X0) <=> ~funny(X0)) [input p0]
23. humble(susan) [input p22]
25. funny(susan) [input hypothesis]
38. ! [X0] : ((humble(X0) | funny(X0)) & (~funny(X0) | ~humble(X0))) [nnf transformation 1]... | 0 |
If lucy is curious then someone is not rich and vice versa. If someone is either humble or patient then someone is creative and vice versa. Everyone who is both tall and not tall is either old or wise. If someone is not curious or wise then someone is brave or not creative. Everyone who is strong is either tall or quie... | Mary is strong. | neutral | ((curious(lucy))<=>(?[X]:(~rich(X))))&
((?[X]:((humble(X)<~>patient(X))))<=>(?[X]:(creative(X))))&
(![X]:((tall(X)&~tall(X))=>(old(X)<~>wise(X))))&
((?[X]:((~curious(X)|wise(X))))=>(?[X]:((brave(X)|~creative(X)))))&
(![X]:(strong(X)=>(tall(X)<~>quiet(X))))&
(((strong(mary)&~happy(mary)))=>((~calm(lucy)|rich(lucy))))&
(... | strong(mary) | [] | null | 0 |
Everyone who is brave or old is either kind or humble.
If someone is not calm or not curious then someone is both brave and not rich and vice versa.
Everyone who is wise is not happy and vice versa.
If john is both quiet and not creative then lucy is both old and patient and vice versa.
If someone is not happy then som... | Paul is not brave. | entailment | (![X]:((brave(X)|old(X))=>(kind(X)<~>humble(X))))&
((?[X]:((~calm(X)|~curious(X))))<=>(?[X]:((brave(X)&~rich(X)))))&
(![X]:(wise(X)<=>~happy(X)))&
(((quiet(john)&~creative(john)))<=>((old(lucy)&patient(lucy))))&
((?[X]:(~happy(X)))<=>(?[X]:((wise(X)|rich(X)))))&
(((~strong(mary)<~>strong(mary)))=>(?[X]:(~tall(X))))&
(!... | ~brave(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2385781220269976728764092
% SZS output start Proof for 2385781220269976728764092
16. ! [X0] : (humble(X0) <=> (~humble(X0) <~> ~brave(X0))) [input p15]
24. brave(paul) [input hypothesis]
65. ! [X0] : ((humble(X0) | ((~humble(X0) | brave(X0)) & (~brave(X0) | humble(X0)))) & (((brave(X0) | ... | 0 |
Everyone who is creative or not calm is both not kind and creative.
Everyone who is not patient or curious is both not rich and not tall.
If someone is both not tall and rich then someone is creative or not happy and vice versa.
Everyone who is not strong is not tall or tall and vice versa.
If mary is either patient or... | John is funny. | neutral | (![X]:((creative(X)|~calm(X))=>(~kind(X)&creative(X))))&
(![X]:((~patient(X)|curious(X))=>(~rich(X)&~tall(X))))&
((?[X]:((~tall(X)&rich(X))))<=>(?[X]:((creative(X)|~happy(X)))))&
(![X]:(~strong(X)<=>(~tall(X)|tall(X))))&
(((patient(mary)<~>~funny(mary)))=>(?[X]:(~humble(X))))&
(![X]:(~patient(X)<=>creative(X)))&
(![X]:... | funny(john) | [] | null | 0 |
Everyone who is quiet or not brave is both not old and wise. Everyone who is both strong and not calm is not funny or funny and vice versa. If someone is either not funny or not creative then fred is not wise or not creative and vice versa. If john is either funny or humble then susan is not generous or quiet and vice ... | Fred is strong. | entailment | (![X]:((quiet(X)|~brave(X))=>(~old(X)&wise(X))))&
(![X]:((strong(X)&~calm(X))<=>(~funny(X)|funny(X))))&
((?[X]:((~funny(X)<~>~creative(X))))<=>((~wise(fred)|~creative(fred))))&
(((funny(john)<~>humble(john)))<=>((~generous(susan)|quiet(susan))))&
(![X]:(~humble(X)<=>(~patient(X)&humble(X))))&
((tall(alice))<=>(?[X]:(~h... | strong(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 173539599973748079462832
% SZS output start Proof for 173539599973748079462832
2. ! [X0] : ((~calm(X0) & strong(X0)) <=> (funny(X0) | ~funny(X0))) [input p1]
22. ~strong(fred) [input hypothesis]
27. ! [X0] : (((~calm(X0) & strong(X0)) | (~funny(X0) & funny(X0))) & ((funny(X0) | ~funny(X0)... | 0 |
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