premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not old and not calm is either not tall or not happy and vice versa. Everyone who is not kind or not funny is either wise or not funny and vice versa. Everyone who is either happy or not calm is either not happy or not calm. Everyone who is not curious is not strong. If alice is quiet or not kind t... | Mary is not strong. | entailment | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((happy(X)<~>~calm(X))=>(~happy(X)<~>~calm(X))))&
(![X]:(~curious(X)=>~strong(X)))&
(((quiet(alice)|~kind(alice)))<=>((~generous(susan)<~>~rich(susan))))&
((?[X]:(~brave(X)))<=>(happy(john)))&
((~curious(j... | ~strong(mary) | [
"p0",
"p2",
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 554624790938969559687973
% SZS output start Proof for 554624790938969559687973
1. ! [X0] : ((~calm(X0) & ~old(X0)) <=> (~tall(X0) <~> ~happy(X0))) [input p0]
3. ! [X0] : ((happy(X0) <~> ~calm(X0)) => (~happy(X0) <~> ~calm(X0))) [input p2]
4. ! [X0] : (~curious(X0) => ~strong(X0)) [input p... | 0 |
If fred is not brave or creative then fred is both not humble and old.
Everyone who is not creative or quiet is not wise and vice versa.
Everyone who is both patient and not old is not kind and vice versa.
Everyone who is not strong or happy is both funny and not wise and vice versa.
If someone is both not generous and... | Alice is not quiet. | entailment | (((~brave(fred)|creative(fred)))=>((~humble(fred)&old(fred))))&
(![X]:((~creative(X)|quiet(X))<=>~wise(X)))&
(![X]:((patient(X)&~old(X))<=>~kind(X)))&
(![X]:((~strong(X)|happy(X))<=>(funny(X)&~wise(X))))&
((?[X]:((~generous(X)&~brave(X))))<=>(~brave(alice)))&
(![X]:(~curious(X)<=>(tall(X)<~>old(X))))&
((?[X]:((~calm(X)... | ~quiet(alice) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p9",
"p10",
"p13",
"p15",
"p16",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 112450170554068279351531
% SZS output start Proof for 112450170554068279351531
2. ! [X0] : ((quiet(X0) | ~creative(X0)) <=> ~wise(X0)) [input p1]
3. ! [X0] : ((~old(X0) & patient(X0)) <=> ~kind(X0)) [input p2]
4. ! [X0] : ((happy(X0) | ~strong(X0)) <=> (~wise(X0) & funny(X0))) [input p3]
... | 0 |
Everyone who is both rich and creative is both old and curious and vice versa.
Everyone who is not happy is not wise and vice versa.
Everyone who is either patient or humble is both not brave and not strong and vice versa.
Everyone who is wise or kind is either not kind or not curious and vice versa.
If someone is both... | Paul is not quiet. | contradiction | (![X]:((rich(X)&creative(X))<=>(old(X)&curious(X))))&
(![X]:(~happy(X)<=>~wise(X)))&
(![X]:((patient(X)<~>humble(X))<=>(~brave(X)&~strong(X))))&
(![X]:((wise(X)|kind(X))<=>(~kind(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((~old(X)&old(X)))))&
(![X]:(~strong(X)=>(quiet(X)&~generous(X))))&
(![X]:(strong... | ~quiet(paul) | [
"p5",
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 201252492721395160461010
% SZS output start Proof for 201252492721395160461010
6. ! [X0] : (~strong(X0) => (~generous(X0) & quiet(X0))) [input p5]
7. ! [X0] : (strong(X0) => humble(X0)) [input p6]
19. ~happy(paul) & ~humble(paul) [input p18]
25. ~quiet(paul) [input hypothesis]
28. ! [X0] ... | 0 |
If someone is both not patient and rich then someone is either creative or not tall and vice versa.
Everyone who is either funny or old is either kind or tall and vice versa.
Everyone who is both not rich and brave is either patient or creative and vice versa.
If paul is not strong or not generous then susan is not cre... | Susan is not rich. | neutral | ((?[X]:((~patient(X)&rich(X))))<=>(?[X]:((creative(X)<~>~tall(X)))))&
(![X]:((funny(X)<~>old(X))<=>(kind(X)<~>tall(X))))&
(![X]:((~rich(X)&brave(X))<=>(patient(X)<~>creative(X))))&
(((~strong(paul)|~generous(paul)))=>(~creative(susan)))&
(((tall(alice)<~>~humble(alice)))<=>(patient(susan)))&
(![X]:(~creative(X)=>quiet(... | ~rich(susan) | [] | null | 0 |
If mary is not wise or patient then someone is either not quiet or not patient.
If someone is not curious or not kind then someone is both not kind and not brave and vice versa.
Everyone who is not strong or generous is calm or generous and vice versa.
If john is both not quiet and funny then someone is either not kind... | Lucy is curious. | entailment | (((~wise(mary)|patient(mary)))=>(?[X]:((~quiet(X)<~>~patient(X)))))&
((?[X]:((~curious(X)|~kind(X))))<=>(?[X]:((~kind(X)&~brave(X)))))&
(![X]:((~strong(X)|generous(X))<=>(calm(X)|generous(X))))&
(((~quiet(john)&funny(john)))<=>(?[X]:((~kind(X)<~>~tall(X)))))&
(((~humble(lucy)&~old(lucy)))<=>(?[X]:(wise(X))))&
(![X]:(ha... | curious(lucy) | [
"p3",
"p5",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 572158326222381618815843
% SZS output start Proof for 572158326222381618815843
4. (funny(john) & ~quiet(john)) <=> ? [X0] : (~kind(X0) <~> ~tall(X0)) [input p3]
6. ! [X0] : (happy(X0) <=> (~strong(X0) <~> ~funny(X0))) [input p5]
8. ! [X0] : ((happy(X0) | ~happy(X0)) => strong(X0)) [input ... | 0 |
Everyone who is not strong or old is creative or wise and vice versa. Everyone who is funny is either patient or not tall and vice versa. Everyone who is either not patient or not generous is both humble and not brave. Everyone who is brave or strong is either strong or brave. If alice is wise or old then john is both ... | Fred is not creative. | entailment | (![X]:((~strong(X)|old(X))<=>(creative(X)|wise(X))))&
(![X]:(funny(X)<=>(patient(X)<~>~tall(X))))&
(![X]:((~patient(X)<~>~generous(X))=>(humble(X)&~brave(X))))&
(![X]:((brave(X)|strong(X))=>(strong(X)<~>brave(X))))&
(((wise(alice)|old(alice)))<=>((strong(john)&brave(john))))&
((?[X]:(calm(X)))<=>((~quiet(paul)|~funny(p... | ~creative(fred) | [
"p6",
"p7",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9072528547448190139323176
% SZS output start Proof for 9072528547448190139323176
7. ! [X0] : ((~strong(X0) & happy(X0)) <=> (strong(X0) <~> ~curious(X0))) [input p6]
8. ! [X0] : ((~rich(X0) | ~curious(X0)) => (patient(X0) & ~creative(X0))) [input p7]
13. creative(fred) <=> ? [X0] : happy(... | 0 |
Everyone who is both funny and generous is not creative and vice versa. Everyone who is patient is both kind and generous. Everyone who is not rich is both not calm and not funny. If someone is not calm or not creative then someone is funny or not creative. Everyone who is either not creative or wise is either old or b... | Lucy is rich. | entailment | (![X]:((funny(X)&generous(X))<=>~creative(X)))&
(![X]:(patient(X)=>(kind(X)&generous(X))))&
(![X]:(~rich(X)=>(~calm(X)&~funny(X))))&
((?[X]:((~calm(X)|~creative(X))))=>(?[X]:((funny(X)|~creative(X)))))&
(![X]:((~creative(X)<~>wise(X))<=>(old(X)<~>brave(X))))&
(![X]:(~tall(X)=>(quiet(X)|~calm(X))))&
(![X]:(~creative(X)<... | rich(lucy) | [
"p0",
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 140131061323154037569621
% SZS output start Proof for 140131061323154037569621
1. ! [X0] : ((generous(X0) & funny(X0)) <=> ~creative(X0)) [input p0]
3. ! [X0] : (~rich(X0) => (~funny(X0) & ~calm(X0))) [input p2]
13. ! [X0] : ((rich(X0) <~> calm(X0)) <=> creative(X0)) [input p12]
25. ~rich... | 0 |
If someone is not happy or not rich then alice is not happy and vice versa.
Everyone who is either kind or tall is not wise and vice versa.
Everyone who is patient or strong is humble or patient.
If someone is not funny then paul is tall or not funny.
Everyone who is brave is not brave or not kind.
If someone is both t... | Susan is generous. | contradiction | ((?[X]:((~happy(X)|~rich(X))))<=>(~happy(alice)))&
(![X]:((kind(X)<~>tall(X))<=>~wise(X)))&
(![X]:((patient(X)|strong(X))=>(humble(X)|patient(X))))&
((?[X]:(~funny(X)))=>((tall(paul)|~funny(paul))))&
(![X]:(brave(X)=>(~brave(X)|~kind(X))))&
((?[X]:((tall(X)&quiet(X))))=>(brave(mary)))&
(![X]:((funny(X)&~strong(X))=>(ge... | generous(susan) | [
"p4",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4329162912376486312348571
% SZS output start Proof for 4329162912376486312348571
5. ! [X0] : (brave(X0) => (~kind(X0) | ~brave(X0))) [input p4]
9. ! [X0] : ((generous(X0) <~> ~rich(X0)) <=> (kind(X0) & old(X0))) [input p8]
18. rich(susan) & brave(susan) [input p17]
25. generous(susan) [in... | 0 |
If mary is not brave then susan is funny or not calm and vice versa.
Everyone who is not happy or brave is either wise or not creative.
Everyone who is either not creative or strong is funny and vice versa.
If someone is not generous or not strong then someone is either not rich or humble.
Everyone who is not wise or n... | Mary is not generous. | neutral | ((~brave(mary))<=>((funny(susan)|~calm(susan))))&
(![X]:((~happy(X)|brave(X))=>(wise(X)<~>~creative(X))))&
(![X]:((~creative(X)<~>strong(X))<=>funny(X)))&
((?[X]:((~generous(X)|~strong(X))))=>(?[X]:((~rich(X)<~>humble(X)))))&
(![X]:((~wise(X)|~tall(X))=>(~curious(X)&~creative(X))))&
(![X]:((wise(X)&~creative(X))<=>(~pa... | ~generous(mary) | [] | null | 0 |
If paul is not wise then someone is not calm or not humble.
If someone is either not creative or not happy then someone is either not tall or not calm and vice versa.
If someone is not strong or strong then someone is both happy and not tall and vice versa.
If someone is generous or not humble then john is both not cre... | Lucy is wise. | neutral | ((~wise(paul))=>(?[X]:((~calm(X)|~humble(X)))))&
((?[X]:((~creative(X)<~>~happy(X))))<=>(?[X]:((~tall(X)<~>~calm(X)))))&
((?[X]:((~strong(X)|strong(X))))<=>(?[X]:((happy(X)&~tall(X)))))&
((?[X]:((generous(X)|~humble(X))))<=>((~creative(john)&~quiet(john))))&
(((~old(alice)<~>~humble(alice)))<=>((funny(lucy)|~quiet(lucy... | wise(lucy) | [] | null | 0 |
Everyone who is tall is not patient. Everyone who is brave is both tall and not funny and vice versa. If someone is not strong or not generous then someone is either not funny or not old and vice versa. Everyone who is not wise or happy is not rich and vice versa. Everyone who is both humble and brave is not tall. Ever... | John is not brave. | entailment | (![X]:(tall(X)=>~patient(X)))&
(![X]:(brave(X)<=>(tall(X)&~funny(X))))&
((?[X]:((~strong(X)|~generous(X))))<=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((~wise(X)|happy(X))<=>~rich(X)))&
(![X]:((humble(X)&brave(X))=>~tall(X)))&
(![X]:(~curious(X)<=>(generous(X)&~kind(X))))&
(![X]:(~brave(X)=>(quiet(X)&humble(X))))&
(![X]:... | ~brave(john) | [
"p1",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5819129295878321081657658
% SZS output start Proof for 5819129295878321081657658
2. ! [X0] : (brave(X0) <=> (~funny(X0) & tall(X0))) [input p1]
5. ! [X0] : ((brave(X0) & humble(X0)) => ~tall(X0)) [input p4]
8. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (kind(X0) | ~humble(X0))) [input p7]
25.... | 0 |
If someone is either curious or not curious then alice is curious and vice versa.
Everyone who is either not old or not strong is old or quiet and vice versa.
If alice is both not generous and brave then mary is both creative and not calm and vice versa.
Everyone who is not tall is either not brave or not strong and vi... | Paul is curious. | neutral | ((?[X]:((curious(X)<~>~curious(X))))<=>(curious(alice)))&
(![X]:((~old(X)<~>~strong(X))<=>(old(X)|quiet(X))))&
(((~generous(alice)&brave(alice)))<=>((creative(mary)&~calm(mary))))&
(![X]:(~tall(X)<=>(~brave(X)<~>~strong(X))))&
((?[X]:((wise(X)|generous(X))))<=>(?[X]:((creative(X)<~>~funny(X)))))&
(![X]:((tall(X)&kind(X... | curious(paul) | [] | null | 0 |
If someone is not kind or old then someone is either not happy or happy and vice versa.
Everyone who is both generous and rich is not calm and vice versa.
If someone is both not generous and brave then someone is both not creative and not generous.
Everyone who is both not tall and not calm is not patient and vice vers... | Paul is not generous. | contradiction | ((?[X]:((~kind(X)|old(X))))<=>(?[X]:((~happy(X)<~>happy(X)))))&
(![X]:((generous(X)&rich(X))<=>~calm(X)))&
((?[X]:((~generous(X)&brave(X))))=>(?[X]:((~creative(X)&~generous(X)))))&
(![X]:((~tall(X)&~calm(X))<=>~patient(X)))&
(![X]:((~wise(X)<~>~generous(X))<=>(wise(X)|~calm(X))))&
(![X]:((patient(X)|funny(X))=>calm(X))... | ~generous(paul) | [
"p1",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5313821417525036214362158
% SZS output start Proof for 5313821417525036214362158
2. ! [X0] : ((rich(X0) & generous(X0)) <=> ~calm(X0)) [input p1]
4. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> ~patient(X0)) [input p3]
8. ! [X0] : ((~tall(X0) | tall(X0)) <=> ~patient(X0)) [input p7]
19. ~generou... | 0 |
Everyone who is not happy or not curious is both patient and old and vice versa.
Everyone who is not generous or not quiet is not brave or happy and vice versa.
Everyone who is both funny and not quiet is not funny.
Everyone who is creative is either not brave or not creative and vice versa.
Everyone who is not calm is... | Fred is wise. | entailment | (![X]:((~happy(X)|~curious(X))<=>(patient(X)&old(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(~brave(X)|happy(X))))&
(![X]:((funny(X)&~quiet(X))=>~funny(X)))&
(![X]:(creative(X)<=>(~brave(X)<~>~creative(X))))&
(![X]:(~calm(X)=>(curious(X)<~>~quiet(X))))&
(![X]:((calm(X)&funny(X))<=>(~strong(X)&creative(X))))&
((old(lucy))... | wise(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 184784500554522265408670
% SZS output start Proof for 184784500554522265408670
8. ! [X0] : ((old(X0) & ~old(X0)) <=> ~wise(X0)) [input p7]
24. ~wise(fred) [input hypothesis]
26. ! [X0] : (~wise(X0) => (old(X0) & ~old(X0))) [unused predicate definition removal 8]
30. ! [X0] : ((old(X0) & ~... | 0 |
Everyone who is not humble is both not strong and not creative and vice versa.
If alice is not wise then susan is brave or not old and vice versa.
Everyone who is both not strong and not rich is either not tall or funny and vice versa.
If susan is not calm then alice is either not calm or not funny and vice versa.
Ever... | Susan is not strong. | neutral | (![X]:(~humble(X)<=>(~strong(X)&~creative(X))))&
((~wise(alice))<=>((brave(susan)|~old(susan))))&
(![X]:((~strong(X)&~rich(X))<=>(~tall(X)<~>funny(X))))&
((~calm(susan))<=>((~calm(alice)<~>~funny(alice))))&
(![X]:((tall(X)|brave(X))<=>~wise(X)))&
((?[X]:(~calm(X)))=>(?[X]:((~tall(X)|~rich(X)))))&
(((wise(alice)<~>~brav... | ~strong(susan) | [] | null | 0 |
If someone is funny or not funny then lucy is both brave and generous. Everyone who is wise is old. Everyone who is either patient or not wise is both brave and not creative. If someone is not quiet or creative then lucy is tall or wise. Everyone who is both not generous and happy is not happy and vice versa. If someon... | Susan is not brave. | contradiction | ((?[X]:((funny(X)|~funny(X))))=>((brave(lucy)&generous(lucy))))&
(![X]:(wise(X)=>old(X)))&
(![X]:((patient(X)<~>~wise(X))=>(brave(X)&~creative(X))))&
((?[X]:((~quiet(X)|creative(X))))=>((tall(lucy)|wise(lucy))))&
(![X]:((~generous(X)&happy(X))<=>~happy(X)))&
((?[X]:((~strong(X)|~tall(X))))=>((~kind(fred)<~>curious(fred... | ~brave(susan) | [
"p1",
"p2",
"p4",
"p8",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7753817043233354144215538
% SZS output start Proof for 7753817043233354144215538
2. ! [X0] : (wise(X0) => old(X0)) [input p1]
3. ! [X0] : ((patient(X0) <~> ~wise(X0)) => (~creative(X0) & brave(X0))) [input p2]
5. ! [X0] : ((happy(X0) & ~generous(X0)) <=> ~happy(X0)) [input p4]
9. ! [X0] :... | 0 |
Everyone who is calm or patient is both quiet and not calm.
If paul is both not rich and funny then john is both patient and kind and vice versa.
Everyone who is not quiet or not calm is humble and vice versa.
If someone is either brave or tall then paul is either not rich or not patient and vice versa.
If someone is f... | John is happy. | neutral | (![X]:((calm(X)|patient(X))=>(quiet(X)&~calm(X))))&
(((~rich(paul)&funny(paul)))<=>((patient(john)&kind(john))))&
(![X]:((~quiet(X)|~calm(X))<=>humble(X)))&
((?[X]:((brave(X)<~>tall(X))))<=>((~rich(paul)<~>~patient(paul))))&
((?[X]:(funny(X)))<=>(?[X]:((~happy(X)<~>rich(X)))))&
(![X]:(~kind(X)<=>(creative(X)|~patient(X... | happy(john) | [] | null | 0 |
Everyone who is both tall and not funny is not strong or not quiet and vice versa.
Everyone who is funny or calm is not wise or brave.
Everyone who is either not creative or brave is both generous and not kind and vice versa.
Everyone who is not humble is both kind and curious and vice versa.
If john is both not funny ... | Lucy is not kind. | entailment | (![X]:((tall(X)&~funny(X))<=>(~strong(X)|~quiet(X))))&
(![X]:((funny(X)|calm(X))=>(~wise(X)|brave(X))))&
(![X]:((~creative(X)<~>brave(X))<=>(generous(X)&~kind(X))))&
(![X]:(~humble(X)<=>(kind(X)&curious(X))))&
(((~funny(john)&quiet(john)))=>(?[X]:((humble(X)&~calm(X)))))&
((?[X]:(curious(X)))<=>(?[X]:(strong(X))))&
((?... | ~kind(lucy) | [
"p0",
"p9",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1962956127827283770948917
% SZS output start Proof for 1962956127827283770948917
1. ! [X0] : ((~funny(X0) & tall(X0)) <=> (~quiet(X0) | ~strong(X0))) [input p0]
10. ? [X0] : ~funny(X0) => (humble(lucy) & ~patient(lucy)) [input p9]
18. ? [X0] : (~curious(X0) & ~quiet(X0)) [input p17]
20. k... | 0 |
If someone is either generous or not happy then someone is either wise or rich and vice versa.
If someone is both not happy and not kind then someone is calm or curious.
If john is both not old and not quiet then someone is either not quiet or strong and vice versa.
Everyone who is both kind and curious is either patie... | Alice is creative. | neutral | ((?[X]:((generous(X)<~>~happy(X))))<=>(?[X]:((wise(X)<~>rich(X)))))&
((?[X]:((~happy(X)&~kind(X))))=>(?[X]:((calm(X)|curious(X)))))&
(((~old(john)&~quiet(john)))<=>(?[X]:((~quiet(X)<~>strong(X)))))&
(![X]:((kind(X)&curious(X))<=>(patient(X)<~>~tall(X))))&
((~humble(paul))<=>((patient(susan)<~>happy(susan))))&
(((~funny... | creative(alice) | [] | null | 0 |
If fred is either generous or not humble then someone is both not wise and curious and vice versa. Everyone who is not creative or not rich is not happy or wise and vice versa. If someone is not old or not patient then someone is either tall or not happy and vice versa. Everyone who is both not generous and generous is... | John is not patient. | neutral | (((generous(fred)<~>~humble(fred)))<=>(?[X]:((~wise(X)&curious(X)))))&
(![X]:((~creative(X)|~rich(X))<=>(~happy(X)|wise(X))))&
((?[X]:((~old(X)|~patient(X))))<=>(?[X]:((tall(X)<~>~happy(X)))))&
(![X]:((~generous(X)&generous(X))=>(~creative(X)|~curious(X))))&
(((~rich(paul)|quiet(paul)))=>(?[X]:((funny(X)|~wise(X)))))&
... | ~patient(john) | [] | null | 0 |
If someone is not funny or not humble then someone is kind and vice versa. Everyone who is either not quiet or funny is both kind and not funny and vice versa. Everyone who is either funny or curious is brave or curious and vice versa. Everyone who is kind or generous is generous or wise. If alice is happy then fred is... | Mary is not creative. | neutral | ((?[X]:((~funny(X)|~humble(X))))<=>(?[X]:(kind(X))))&
(![X]:((~quiet(X)<~>funny(X))<=>(kind(X)&~funny(X))))&
(![X]:((funny(X)<~>curious(X))<=>(brave(X)|curious(X))))&
(![X]:((kind(X)|generous(X))=>(generous(X)|wise(X))))&
((happy(alice))<=>((kind(fred)&old(fred))))&
((~brave(john))=>((wise(fred)<~>~humble(fred))))&
(![... | ~creative(mary) | [] | null | 0 |
Everyone who is old or not patient is both not old and patient.
Everyone who is not calm is not patient or not creative.
Everyone who is not wise or creative is not kind or strong.
Everyone who is not calm or not old is either happy or not kind and vice versa.
Everyone who is not curious is not humble or not rich and v... | Mary is humble. | neutral | (![X]:((old(X)|~patient(X))=>(~old(X)&patient(X))))&
(![X]:(~calm(X)=>(~patient(X)|~creative(X))))&
(![X]:((~wise(X)|creative(X))=>(~kind(X)|strong(X))))&
(![X]:((~calm(X)|~old(X))<=>(happy(X)<~>~kind(X))))&
(![X]:(~curious(X)<=>(~humble(X)|~rich(X))))&
(![X]:((creative(X)<~>~rich(X))=>(patient(X)&~old(X))))&
(((~calm(... | humble(mary) | [] | null | 0 |
If someone is patient or brave then lucy is either not creative or not kind and vice versa.
Everyone who is either not strong or not old is both not quiet and not patient.
Everyone who is both quiet and not tall is tall and vice versa.
Everyone who is not curious is patient.
Everyone who is creative is both strong and ... | Fred is not calm. | entailment | ((?[X]:((patient(X)|brave(X))))<=>((~creative(lucy)<~>~kind(lucy))))&
(![X]:((~strong(X)<~>~old(X))=>(~quiet(X)&~patient(X))))&
(![X]:((quiet(X)&~tall(X))<=>tall(X)))&
(![X]:(~curious(X)=>patient(X)))&
(![X]:(creative(X)=>(strong(X)&~curious(X))))&
(![X]:((~quiet(X)|creative(X))<=>(kind(X)|brave(X))))&
((?[X]:((brave(X... | ~calm(fred) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5789032607407841147252602
% SZS output start Proof for 5789032607407841147252602
3. ! [X0] : ((~tall(X0) & quiet(X0)) <=> tall(X0)) [input p2]
9. ! [X0] : ((curious(X0) | ~tall(X0)) => ~calm(X0)) [input p8]
25. calm(fred) [input hypothesis]
31. ! [X0] : (~calm(X0) | (~curious(X0) & tall(X... | 0 |
If fred is not creative then lucy is not curious. If someone is patient then someone is not generous or not brave and vice versa. If john is strong or not patient then john is either rich or not wise and vice versa. Everyone who is both not kind and funny is both funny and not kind and vice versa. If someone is happy t... | Mary is rich. | neutral | ((~creative(fred))=>(~curious(lucy)))&
((?[X]:(patient(X)))<=>(?[X]:((~generous(X)|~brave(X)))))&
(((strong(john)|~patient(john)))<=>((rich(john)<~>~wise(john))))&
(![X]:((~kind(X)&funny(X))<=>(funny(X)&~kind(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~creative(X)<~>~curious(X)))))&
(![X]:((funny(X)|~patient(X))<=>(wise(X)&~r... | rich(mary) | [] | null | 0 |
Everyone who is not patient or not kind is either kind or not patient and vice versa.
If someone is not kind or quiet then lucy is either old or not generous.
Everyone who is both not creative and not generous is creative and vice versa.
If someone is not rich then someone is either curious or not calm.
Everyone who is... | Susan is not kind. | entailment | (![X]:((~patient(X)|~kind(X))<=>(kind(X)<~>~patient(X))))&
((?[X]:((~kind(X)|quiet(X))))=>((old(lucy)<~>~generous(lucy))))&
(![X]:((~creative(X)&~generous(X))<=>creative(X)))&
((?[X]:(~rich(X)))=>(?[X]:((curious(X)<~>~calm(X)))))&
(![X]:(patient(X)<=>~quiet(X)))&
((?[X]:((~kind(X)<~>~tall(X))))<=>((~funny(john)<~>~quie... | ~kind(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1001245786546478393208407
% SZS output start Proof for 1001245786546478393208407
1. ! [X0] : ((~kind(X0) | ~patient(X0)) <=> (kind(X0) <~> ~patient(X0))) [input p0]
21. kind(susan) [input hypothesis]
30. ! [X0] : (((~kind(X0) | ~patient(X0)) | ((kind(X0) | patient(X0)) & (~patient(X0) | ~... | 0 |
Everyone who is either not funny or quiet is not strong or not tall.
If someone is happy then someone is wise and vice versa.
If fred is rich or brave then someone is either kind or not calm and vice versa.
Everyone who is not funny or creative is both not quiet and kind.
Everyone who is either curious or happy is eith... | Susan is not rich. | contradiction | (![X]:((~funny(X)<~>quiet(X))=>(~strong(X)|~tall(X))))&
((?[X]:(happy(X)))<=>(?[X]:(wise(X))))&
(((rich(fred)|brave(fred)))<=>(?[X]:((kind(X)<~>~calm(X)))))&
(![X]:((~funny(X)|creative(X))=>(~quiet(X)&kind(X))))&
(![X]:((curious(X)<~>happy(X))=>(~humble(X)<~>creative(X))))&
(((funny(mary)|quiet(mary)))<=>(?[X]:((~kind(... | ~rich(susan) | [
"p3",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5741602809582068596910975
% SZS output start Proof for 5741602809582068596910975
4. ! [X0] : ((creative(X0) | ~funny(X0)) => (kind(X0) & ~quiet(X0))) [input p3]
7. ? [X0] : tall(X0) <=> (~patient(alice) & brave(alice)) [input p6]
8. ! [X0] : ((~wise(X0) & tall(X0)) <=> (brave(X0) <~> wise... | 0 |
Everyone who is both funny and not tall is not strong.
If lucy is kind then john is not creative or generous and vice versa.
If someone is not humble or not creative then someone is not old or not funny and vice versa.
If alice is either not humble or not tall then someone is brave and vice versa.
If someone is not cal... | John is brave. | neutral | (![X]:((funny(X)&~tall(X))=>~strong(X)))&
((kind(lucy))<=>((~creative(john)|generous(john))))&
((?[X]:((~humble(X)|~creative(X))))<=>(?[X]:((~old(X)|~funny(X)))))&
(((~humble(alice)<~>~tall(alice)))<=>(?[X]:(brave(X))))&
((?[X]:(~calm(X)))=>((~humble(john)&~brave(john))))&
(![X]:((~patient(X)&~funny(X))<=>(creative(X)|... | brave(john) | [] | null | 0 |
Everyone who is both humble and quiet is either quiet or calm and vice versa. If someone is either wise or brave then lucy is both not generous and not creative. If alice is either old or not strong then someone is not generous. If someone is not humble then someone is not creative or tall. Everyone who is both quiet a... | Alice is not patient. | entailment | (![X]:((humble(X)&quiet(X))<=>(quiet(X)<~>calm(X))))&
((?[X]:((wise(X)<~>brave(X))))=>((~generous(lucy)&~creative(lucy))))&
(((old(alice)<~>~strong(alice)))=>(?[X]:(~generous(X))))&
((?[X]:(~humble(X)))=>(?[X]:((~creative(X)|tall(X)))))&
(![X]:((quiet(X)&patient(X))=>~generous(X)))&
(![X]:((~strong(X)<~>strong(X))=>(ge... | ~patient(alice) | [
"p1",
"p4",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3511454056530067030484890
% SZS output start Proof for 3511454056530067030484890
2. ? [X0] : (wise(X0) <~> brave(X0)) => (~creative(lucy) & ~generous(lucy)) [input p1]
5. ! [X0] : ((patient(X0) & quiet(X0)) => ~generous(X0)) [input p4]
6. ! [X0] : ((~strong(X0) <~> strong(X0)) => (creativ... | 0 |
Everyone who is either not old or old is both brave and kind and vice versa. Everyone who is happy or not patient is not patient. Everyone who is both not quiet and not brave is not patient or funny. Everyone who is both not calm and creative is not humble or not creative and vice versa. Everyone who is either wise or ... | Alice is funny. | entailment | (![X]:((~old(X)<~>old(X))<=>(brave(X)&kind(X))))&
(![X]:((happy(X)|~patient(X))=>~patient(X)))&
(![X]:((~quiet(X)&~brave(X))=>(~patient(X)|funny(X))))&
(![X]:((~calm(X)&creative(X))<=>(~humble(X)|~creative(X))))&
(![X]:((wise(X)<~>~quiet(X))=>~patient(X)))&
(![X]:((~creative(X)<~>~kind(X))<=>(rich(X)|~patient(X))))&
((... | funny(alice) | [
"p0",
"p3",
"p5",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8552590718890994033560832
% SZS output start Proof for 8552590718890994033560832
1. ! [X0] : ((~old(X0) <~> old(X0)) <=> (kind(X0) & brave(X0))) [input p0]
4. ! [X0] : ((creative(X0) & ~calm(X0)) <=> (~creative(X0) | ~humble(X0))) [input p3]
6. ! [X0] : ((~creative(X0) <~> ~kind(X0)) <=> ... | 0 |
If lucy is not brave then someone is humble and vice versa.
If someone is either wise or not strong then someone is calm or rich.
Everyone who is not rich is not rich or happy and vice versa.
Everyone who is not generous is either curious or not curious and vice versa.
Everyone who is either rich or not calm is not old... | Lucy is not happy. | entailment | ((~brave(lucy))<=>(?[X]:(humble(X))))&
((?[X]:((wise(X)<~>~strong(X))))=>(?[X]:((calm(X)|rich(X)))))&
(![X]:(~rich(X)<=>(~rich(X)|happy(X))))&
(![X]:(~generous(X)<=>(curious(X)<~>~curious(X))))&
(![X]:((rich(X)<~>~calm(X))<=>(~old(X)|happy(X))))&
(![X]:((humble(X)|~happy(X))=>~humble(X)))&
((~curious(alice))=>(?[X]:((c... | ~happy(lucy) | [
"p3",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7281459696208024629835727
% SZS output start Proof for 7281459696208024629835727
4. ! [X0] : (~generous(X0) <=> (curious(X0) <~> ~curious(X0))) [input p3]
8. ! [X0] : ((~tall(X0) | ~happy(X0)) <=> (wise(X0) | ~wise(X0))) [input p7]
11. ! [X0] : ((~rich(X0) <~> tall(X0)) => (generous(X0) &... | 0 |
If someone is either happy or not funny then someone is both not calm and wise.
Everyone who is not strong or not tall is brave and vice versa.
If susan is funny then lucy is both not strong and not calm and vice versa.
If john is either not calm or creative then someone is not creative or not happy and vice versa.
If ... | Paul is not calm. | entailment | ((?[X]:((happy(X)<~>~funny(X))))=>(?[X]:((~calm(X)&wise(X)))))&
(![X]:((~strong(X)|~tall(X))<=>brave(X)))&
((funny(susan))<=>((~strong(lucy)&~calm(lucy))))&
(((~calm(john)<~>creative(john)))<=>(?[X]:((~creative(X)|~happy(X)))))&
(((patient(paul)&~tall(paul)))=>(?[X]:((calm(X)<~>funny(X)))))&
(((~tall(mary)<~>curious(ma... | ~calm(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 244494059056396436327732
% SZS output start Proof for 244494059056396436327732
7. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p6]
24. calm(paul) [input hypothesis]
56. ! [X0] : ((((calm(X0) | curious(X0)) & (~calm(X0) | ~curious(X0))) | ~curious(X0)) & (curious(X0) | ((... | 0 |
If someone is humble then paul is not calm or not wise.
Everyone who is not rich is both not happy and creative.
If someone is not kind then alice is both not creative and happy and vice versa.
Everyone who is generous is not rich or not old and vice versa.
Everyone who is happy or curious is generous or calm and vice ... | John is not humble. | neutral | ((?[X]:(humble(X)))=>((~calm(paul)|~wise(paul))))&
(![X]:(~rich(X)=>(~happy(X)&creative(X))))&
((?[X]:(~kind(X)))<=>((~creative(alice)&happy(alice))))&
(![X]:(generous(X)<=>(~rich(X)|~old(X))))&
(![X]:((happy(X)|curious(X))<=>(generous(X)|calm(X))))&
((?[X]:((~strong(X)|rich(X))))<=>(~tall(paul)))&
(![X]:(happy(X)=>(fu... | ~humble(john) | [] | null | 0 |
If paul is not quiet then someone is brave and vice versa.
Everyone who is wise is not curious and vice versa.
Everyone who is not happy or patient is not strong.
If john is either old or happy then john is either curious or happy and vice versa.
Everyone who is both not rich and old is curious or generous.
Everyone wh... | Fred is not calm. | neutral | ((~quiet(paul))<=>(?[X]:(brave(X))))&
(![X]:(wise(X)<=>~curious(X)))&
(![X]:((~happy(X)|patient(X))=>~strong(X)))&
(((old(john)<~>happy(john)))<=>((curious(john)<~>happy(john))))&
(![X]:((~rich(X)&old(X))=>(curious(X)|generous(X))))&
(![X]:((~creative(X)&creative(X))<=>happy(X)))&
((humble(alice))<=>(?[X]:((~wise(X)&st... | ~calm(fred) | [] | null | 0 |
If lucy is rich or not happy then john is either rich or not wise.
Everyone who is either not creative or not humble is old or not creative and vice versa.
If john is either not funny or not brave then someone is not brave or not humble.
If someone is not strong or not tall then someone is strong.
Everyone who is not o... | Mary is not strong. | contradiction | (((rich(lucy)|~happy(lucy)))=>((rich(john)<~>~wise(john))))&
(![X]:((~creative(X)<~>~humble(X))<=>(old(X)|~creative(X))))&
(((~funny(john)<~>~brave(john)))=>(?[X]:((~brave(X)|~humble(X)))))&
((?[X]:((~strong(X)|~tall(X))))=>(?[X]:(strong(X))))&
(![X]:((~old(X)|~wise(X))<=>(~humble(X)|strong(X))))&
(((~quiet(paul)<~>~ta... | ~strong(mary) | [
"p1",
"p4",
"p8",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8528128806253639363297046
% SZS output start Proof for 8528128806253639363297046
2. ! [X0] : ((~creative(X0) <~> ~humble(X0)) <=> (~creative(X0) | old(X0))) [input p1]
5. ! [X0] : ((~wise(X0) | ~old(X0)) <=> (strong(X0) | ~humble(X0))) [input p4]
9. (patient(mary) & wise(mary)) <=> ? [X0]... | 0 |
Everyone who is either not curious or rich is calm and vice versa.
If someone is not creative then someone is either patient or not humble.
Everyone who is rich is both not rich and not creative.
If someone is both not rich and wise then someone is brave or happy.
If someone is generous or rich then someone is both not... | Lucy is not quiet. | neutral | (![X]:((~curious(X)<~>rich(X))<=>calm(X)))&
((?[X]:(~creative(X)))=>(?[X]:((patient(X)<~>~humble(X)))))&
(![X]:(rich(X)=>(~rich(X)&~creative(X))))&
((?[X]:((~rich(X)&wise(X))))=>(?[X]:((brave(X)|happy(X)))))&
((?[X]:((generous(X)|rich(X))))=>(?[X]:((~old(X)&tall(X)))))&
((?[X]:(generous(X)))=>((~generous(lucy)&~funny(l... | ~quiet(lucy) | [] | null | 0 |
Everyone who is not curious is not strong. If someone is not creative then someone is both not old and happy and vice versa. If paul is quiet then someone is both curious and not happy and vice versa. Everyone who is rich or old is not calm. Everyone who is not humble or humble is either happy or not creative. Everyone... | Paul is old. | entailment | (![X]:(~curious(X)=>~strong(X)))&
((?[X]:(~creative(X)))<=>(?[X]:((~old(X)&happy(X)))))&
((quiet(paul))<=>(?[X]:((curious(X)&~happy(X)))))&
(![X]:((rich(X)|old(X))=>~calm(X)))&
(![X]:((~humble(X)|humble(X))=>(happy(X)<~>~creative(X))))&
(![X]:((generous(X)&patient(X))<=>creative(X)))&
((?[X]:((kind(X)<~>~generous(X))))... | old(paul) | [
"p1",
"p4",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1575400241510041572618843
% SZS output start Proof for 1575400241510041572618843
2. ? [X0] : ~creative(X0) <=> ? [X0] : (happy(X0) & ~old(X0)) [input p1]
5. ! [X0] : ((humble(X0) | ~humble(X0)) => (happy(X0) <~> ~creative(X0))) [input p4]
6. ! [X0] : ((patient(X0) & generous(X0)) <=> crea... | 0 |
Everyone who is brave or not generous is tall or rich.
If mary is not tall or creative then someone is both brave and wise.
If susan is both not funny and creative then john is either humble or not curious and vice versa.
If someone is either calm or humble then someone is either not wise or rich and vice versa.
If pau... | Paul is not old. | neutral | (![X]:((brave(X)|~generous(X))=>(tall(X)|rich(X))))&
(((~tall(mary)|creative(mary)))=>(?[X]:((brave(X)&wise(X)))))&
(((~funny(susan)&creative(susan)))<=>((humble(john)<~>~curious(john))))&
((?[X]:((calm(X)<~>humble(X))))<=>(?[X]:((~wise(X)<~>rich(X)))))&
(((~kind(paul)|calm(paul)))=>((~strong(mary)<~>~generous(mary))))... | ~old(paul) | [] | null | 0 |
If lucy is either curious or kind then someone is curious and vice versa. If someone is not curious then mary is not patient. Everyone who is either not humble or not brave is both happy and not creative and vice versa. If someone is either not brave or wise then susan is both not wise and kind and vice versa. Everyone... | Fred is patient. | entailment | (((curious(lucy)<~>kind(lucy)))<=>(?[X]:(curious(X))))&
((?[X]:(~curious(X)))=>(~patient(mary)))&
(![X]:((~humble(X)<~>~brave(X))<=>(happy(X)&~creative(X))))&
((?[X]:((~brave(X)<~>wise(X))))<=>((~wise(susan)&kind(susan))))&
(![X]:(~creative(X)<=>(~quiet(X)|humble(X))))&
(![X]:((~old(X)&~calm(X))<=>old(X)))&
(![X]:((~qu... | patient(fred) | [
"p5",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8814674744955481867888989
% SZS output start Proof for 8814674744955481867888989
6. ! [X0] : ((~calm(X0) & ~old(X0)) <=> old(X0)) [input p5]
11. ! [X0] : (~patient(X0) => (~calm(X0) | brave(X0))) [input p10]
17. ~brave(fred) & ~generous(fred) [input p16]
23. ~patient(fred) [input hypothes... | 0 |
If someone is humble or not old then john is both old and quiet and vice versa. Everyone who is both creative and not quiet is either happy or generous. Everyone who is both not quiet and not brave is both calm and generous. Everyone who is wise or patient is either not strong or happy and vice versa. If someone is cre... | Paul is creative. | contradiction | ((?[X]:((humble(X)|~old(X))))<=>((old(john)&quiet(john))))&
(![X]:((creative(X)&~quiet(X))=>(happy(X)<~>generous(X))))&
(![X]:((~quiet(X)&~brave(X))=>(calm(X)&generous(X))))&
(![X]:((wise(X)|patient(X))<=>(~strong(X)<~>happy(X))))&
((?[X]:((creative(X)|~kind(X))))=>((~tall(alice)&~quiet(alice))))&
(![X]:(humble(X)=>(qu... | creative(paul) | [
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7652173246047974507524546
% SZS output start Proof for 7652173246047974507524546
5. ? [X0] : (~kind(X0) | creative(X0)) => (~quiet(alice) & ~tall(alice)) [input p4]
16. ! [X0] : ((~quiet(X0) & patient(X0)) <=> ~patient(X0)) [input p15]
25. creative(paul) [input hypothesis]
31. (~quiet(ali... | 0 |
Everyone who is patient or strong is old or not generous.
Everyone who is both not happy and not wise is both happy and patient and vice versa.
If fred is patient then someone is not kind and vice versa.
Everyone who is not patient or wise is humble or creative and vice versa.
If lucy is not quiet then fred is not stro... | Lucy is not strong. | neutral | (![X]:((patient(X)|strong(X))=>(old(X)|~generous(X))))&
(![X]:((~happy(X)&~wise(X))<=>(happy(X)&patient(X))))&
((patient(fred))<=>(?[X]:(~kind(X))))&
(![X]:((~patient(X)|wise(X))<=>(humble(X)|creative(X))))&
((~quiet(lucy))=>((~strong(fred)|kind(fred))))&
(![X]:((~kind(X)&~patient(X))=>(~wise(X)<~>~humble(X))))&
(![X]:... | ~strong(lucy) | [] | null | 0 |
If lucy is not rich or not funny then someone is both not curious and not rich and vice versa.
If someone is either not curious or not old then fred is tall.
Everyone who is either not patient or strong is not funny or not humble and vice versa.
If someone is not happy then someone is calm or rich.
If paul is both tall... | Paul is curious. | neutral | (((~rich(lucy)|~funny(lucy)))<=>(?[X]:((~curious(X)&~rich(X)))))&
((?[X]:((~curious(X)<~>~old(X))))=>(tall(fred)))&
(![X]:((~patient(X)<~>strong(X))<=>(~funny(X)|~humble(X))))&
((?[X]:(~happy(X)))=>(?[X]:((calm(X)|rich(X)))))&
(((tall(paul)&~wise(paul)))=>(?[X]:((~kind(X)<~>~quiet(X)))))&
((curious(susan))=>(?[X]:(wise... | curious(paul) | [] | null | 0 |
If someone is not kind then someone is both generous and not creative.
Everyone who is either not rich or not generous is either brave or old and vice versa.
Everyone who is either not kind or curious is either not funny or creative.
If fred is creative or not generous then someone is patient or not quiet and vice vers... | Susan is funny. | neutral | ((?[X]:(~kind(X)))=>(?[X]:((generous(X)&~creative(X)))))&
(![X]:((~rich(X)<~>~generous(X))<=>(brave(X)<~>old(X))))&
(![X]:((~kind(X)<~>curious(X))=>(~funny(X)<~>creative(X))))&
(((creative(fred)|~generous(fred)))<=>(?[X]:((patient(X)|~quiet(X)))))&
(![X]:((creative(X)<~>strong(X))=>(~humble(X)<~>brave(X))))&
(![X]:(~st... | funny(susan) | [] | null | 0 |
Everyone who is either not brave or funny is rich. Everyone who is both rich and generous is not old. If paul is not quiet then someone is both not rich and rich. Everyone who is both creative and generous is either not curious or not calm. If someone is either not kind or strong then mary is tall or humble and vice ve... | Lucy is not patient. | contradiction | (![X]:((~brave(X)<~>funny(X))=>rich(X)))&
(![X]:((rich(X)&generous(X))=>~old(X)))&
((~quiet(paul))=>(?[X]:((~rich(X)&rich(X)))))&
(![X]:((creative(X)&generous(X))=>(~curious(X)<~>~calm(X))))&
((?[X]:((~kind(X)<~>strong(X))))<=>((tall(mary)|humble(mary))))&
((?[X]:((~creative(X)&humble(X))))=>(creative(mary)))&
(![X]:((... | ~patient(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5697508397092823120108098
% SZS output start Proof for 5697508397092823120108098
7. ! [X0] : ((generous(X0) & ~generous(X0)) <=> (~patient(X0) | ~happy(X0))) [input p6]
21. ~patient(lucy) [input hypothesis]
44. ! [X0] : (((generous(X0) & ~generous(X0)) | (patient(X0) & happy(X0))) & ((~pa... | 0 |
Everyone who is not wise or generous is either not wise or not creative and vice versa.
Everyone who is either not brave or happy is not calm and vice versa.
Everyone who is happy or not creative is not calm or not old and vice versa.
If someone is funny or not happy then someone is either not quiet or tall.
If someone... | Susan is not creative. | contradiction | (![X]:((~wise(X)|generous(X))<=>(~wise(X)<~>~creative(X))))&
(![X]:((~brave(X)<~>happy(X))<=>~calm(X)))&
(![X]:((happy(X)|~creative(X))<=>(~calm(X)|~old(X))))&
((?[X]:((funny(X)|~happy(X))))=>(?[X]:((~quiet(X)<~>tall(X)))))&
((?[X]:((humble(X)&creative(X))))=>((patient(susan)<~>~generous(susan))))&
(![X]:((~happy(X)&~q... | ~creative(susan) | [
"p0",
"p2",
"p4",
"p8",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4055497716596871317623248
% SZS output start Proof for 4055497716596871317623248
1. ! [X0] : ((generous(X0) | ~wise(X0)) <=> (~wise(X0) <~> ~creative(X0))) [input p0]
3. ! [X0] : ((~creative(X0) | happy(X0)) <=> (~old(X0) | ~calm(X0))) [input p2]
5. ? [X0] : (creative(X0) & humble(X0)) =>... | 0 |
Everyone who is both not generous and not strong is curious.
Everyone who is not quiet or quiet is not kind or creative.
If susan is both not strong and tall then someone is either not calm or quiet.
If someone is both not strong and not funny then paul is either tall or not wise and vice versa.
Everyone who is either ... | Susan is not strong. | neutral | (![X]:((~generous(X)&~strong(X))=>curious(X)))&
(![X]:((~quiet(X)|quiet(X))=>(~kind(X)|creative(X))))&
(((~strong(susan)&tall(susan)))=>(?[X]:((~calm(X)<~>quiet(X)))))&
((?[X]:((~strong(X)&~funny(X))))<=>((tall(paul)<~>~wise(paul))))&
(![X]:((strong(X)<~>~kind(X))=>creative(X)))&
(((strong(mary)<~>~kind(mary)))=>(?[X]:... | ~strong(susan) | [] | null | 0 |
Everyone who is both not kind and not wise is strong.
Everyone who is not calm or rich is both not tall and not rich and vice versa.
Everyone who is either old or funny is both brave and not quiet.
If mary is either creative or patient then someone is both rich and funny and vice versa.
Everyone who is rich is either r... | Mary is not quiet. | entailment | (![X]:((~kind(X)&~wise(X))=>strong(X)))&
(![X]:((~calm(X)|rich(X))<=>(~tall(X)&~rich(X))))&
(![X]:((old(X)<~>funny(X))=>(brave(X)&~quiet(X))))&
(((creative(mary)<~>patient(mary)))<=>(?[X]:((rich(X)&funny(X)))))&
(![X]:(rich(X)<=>(rich(X)<~>patient(X))))&
((?[X]:((tall(X)|~humble(X))))=>((~rich(paul)<~>rich(paul))))&
(!... | ~quiet(mary) | [
"p1",
"p2",
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4913206159947688018494976
% SZS output start Proof for 4913206159947688018494976
2. ! [X0] : ((rich(X0) | ~calm(X0)) <=> (~rich(X0) & ~tall(X0))) [input p1]
3. ! [X0] : ((old(X0) <~> funny(X0)) => (~quiet(X0) & brave(X0))) [input p2]
5. ! [X0] : (rich(X0) <=> (rich(X0) <~> patient(X0))) [... | 0 |
If someone is not tall then someone is both tall and curious and vice versa.
If someone is either funny or creative then alice is not rich and vice versa.
If lucy is old or not creative then mary is brave or not brave and vice versa.
If someone is either not brave or not funny then mary is both brave and not funny.
Eve... | Lucy is wise. | entailment | ((?[X]:(~tall(X)))<=>(?[X]:((tall(X)&curious(X)))))&
((?[X]:((funny(X)<~>creative(X))))<=>(~rich(alice)))&
(((old(lucy)|~creative(lucy)))<=>((brave(mary)|~brave(mary))))&
((?[X]:((~brave(X)<~>~funny(X))))=>((brave(mary)&~funny(mary))))&
(![X]:(~rich(X)=>(tall(X)|brave(X))))&
(![X]:((~generous(X)&~funny(X))=>(funny(X)|c... | wise(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1943118587989341943154598
% SZS output start Proof for 1943118587989341943154598
9. ! [X0] : (~wise(X0) <=> (wise(X0) & ~generous(X0))) [input p8]
23. ~wise(lucy) [input hypothesis]
52. ! [X0] : ((~wise(X0) | (~wise(X0) | generous(X0))) & ((wise(X0) & ~generous(X0)) | wise(X0))) [nnf tran... | 0 |
If someone is both wise and rich then mary is both humble and rich. If someone is happy then alice is not brave. Everyone who is not wise or not brave is brave and vice versa. If someone is either happy or not tall then someone is both happy and calm. Everyone who is both not creative and not wise is strong or not kind... | Alice is not brave. | contradiction | ((?[X]:((wise(X)&rich(X))))=>((humble(mary)&rich(mary))))&
((?[X]:(happy(X)))=>(~brave(alice)))&
(![X]:((~wise(X)|~brave(X))<=>brave(X)))&
((?[X]:((happy(X)<~>~tall(X))))=>(?[X]:((happy(X)&calm(X)))))&
(![X]:((~creative(X)&~wise(X))<=>(strong(X)|~kind(X))))&
(((humble(paul)|brave(paul)))=>((humble(alice)|wise(alice))))... | ~brave(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2706584981329657040475147
% SZS output start Proof for 2706584981329657040475147
3. ! [X0] : ((~brave(X0) | ~wise(X0)) <=> brave(X0)) [input p2]
22. ~brave(alice) [input hypothesis]
40. ! [X0] : (((~brave(X0) | ~wise(X0)) | ~brave(X0)) & (brave(X0) | (brave(X0) & wise(X0)))) [nnf transfor... | 0 |
If someone is both not rich and tall then someone is funny or creative and vice versa.
If someone is creative then someone is either happy or kind and vice versa.
If susan is either strong or not humble then mary is not funny or not generous.
Everyone who is both generous and not funny is both creative and not happy.
E... | Lucy is not generous. | entailment | ((?[X]:((~rich(X)&tall(X))))<=>(?[X]:((funny(X)|creative(X)))))&
((?[X]:(creative(X)))<=>(?[X]:((happy(X)<~>kind(X)))))&
(((strong(susan)<~>~humble(susan)))=>((~funny(mary)|~generous(mary))))&
(![X]:((generous(X)&~funny(X))=>(creative(X)&~happy(X))))&
(![X]:((funny(X)|rich(X))=>(~old(X)<~>generous(X))))&
(![X]:((happy(... | ~generous(lucy) | [
"p3",
"p4",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1383027613154645286747232
% SZS output start Proof for 1383027613154645286747232
4. ! [X0] : ((~funny(X0) & generous(X0)) => (~happy(X0) & creative(X0))) [input p3]
5. ! [X0] : ((rich(X0) | funny(X0)) => (~old(X0) <~> generous(X0))) [input p4]
9. ! [X0] : ((generous(X0) | quiet(X0)) => (g... | 0 |
If someone is strong or not tall then john is both not quiet and not happy and vice versa.
Everyone who is not happy is not curious and vice versa.
Everyone who is not quiet or brave is both kind and not curious and vice versa.
If someone is either humble or strong then mary is either generous or not happy.
If mary is ... | Paul is not wise. | neutral | ((?[X]:((strong(X)|~tall(X))))<=>((~quiet(john)&~happy(john))))&
(![X]:(~happy(X)<=>~curious(X)))&
(![X]:((~quiet(X)|brave(X))<=>(kind(X)&~curious(X))))&
((?[X]:((humble(X)<~>strong(X))))=>((generous(mary)<~>~happy(mary))))&
(((~strong(mary)|rich(mary)))<=>((~creative(lucy)|kind(lucy))))&
(((~creative(john)|~generous(j... | ~wise(paul) | [] | null | 0 |
Everyone who is either not patient or not kind is either tall or happy and vice versa. Everyone who is happy or not creative is either calm or not happy and vice versa. Everyone who is both rich and creative is both not old and calm and vice versa. If paul is not calm or patient then someone is happy and vice versa. Ev... | Susan is strong. | neutral | (![X]:((~patient(X)<~>~kind(X))<=>(tall(X)<~>happy(X))))&
(![X]:((happy(X)|~creative(X))<=>(calm(X)<~>~happy(X))))&
(![X]:((rich(X)&creative(X))<=>(~old(X)&calm(X))))&
(((~calm(paul)|patient(paul)))<=>(?[X]:(happy(X))))&
(![X]:((~funny(X)<~>~creative(X))<=>(~rich(X)&~patient(X))))&
(((~tall(mary)|~curious(mary)))=>((~b... | strong(susan) | [] | null | 0 |
Everyone who is tall is both rich and calm and vice versa.
If someone is not humble or wise then someone is not generous and vice versa.
Everyone who is not quiet is both tall and not generous.
If fred is both not patient and not brave then fred is both not generous and not humble and vice versa.
Everyone who is either... | Lucy is not curious. | entailment | (![X]:(tall(X)<=>(rich(X)&calm(X))))&
((?[X]:((~humble(X)|wise(X))))<=>(?[X]:(~generous(X))))&
(![X]:(~quiet(X)=>(tall(X)&~generous(X))))&
(((~patient(fred)&~brave(fred)))<=>((~generous(fred)&~humble(fred))))&
(![X]:((~old(X)<~>patient(X))<=>~happy(X)))&
((creative(mary))<=>(?[X]:((tall(X)<~>~strong(X)))))&
((?[X]:(kin... | ~curious(lucy) | [
"p8",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4729235587490299953608826
% SZS output start Proof for 4729235587490299953608826
9. ! [X0] : ((~rich(X0) & happy(X0)) <=> (old(X0) <~> ~happy(X0))) [input p8]
16. ! [X0] : ((~kind(X0) | old(X0)) => (~curious(X0) & old(X0))) [input p15]
18. ~rich(lucy) [input p17]
25. curious(lucy) [input ... | 0 |
If someone is not old or not tall then someone is strong or not strong and vice versa.
If someone is both not patient and not quiet then someone is either not generous or not tall.
Everyone who is old is generous or funny and vice versa.
If someone is both not wise and strong then someone is either not brave or not wis... | Alice is generous. | contradiction | ((?[X]:((~old(X)|~tall(X))))<=>(?[X]:((strong(X)|~strong(X)))))&
((?[X]:((~patient(X)&~quiet(X))))=>(?[X]:((~generous(X)<~>~tall(X)))))&
(![X]:(old(X)<=>(generous(X)|funny(X))))&
((?[X]:((~wise(X)&strong(X))))=>(?[X]:((~brave(X)<~>~wise(X)))))&
((?[X]:((brave(X)<~>~calm(X))))<=>(?[X]:((~wise(X)|~patient(X)))))&
(![X]:(... | generous(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1982589989147811059796369
% SZS output start Proof for 1982589989147811059796369
16. ! [X0] : ((~old(X0) | generous(X0)) => (~rich(X0) & ~generous(X0))) [input p15]
23. generous(alice) [input hypothesis]
34. ! [X0] : ((~rich(X0) & ~generous(X0)) | (old(X0) & ~generous(X0))) [ennf transfor... | 0 |
Everyone who is tall is funny or not patient and vice versa.
Everyone who is both not brave and not kind is both not curious and patient and vice versa.
If someone is not generous then susan is old and vice versa.
Everyone who is not funny is not generous or kind.
If someone is either quiet or old then someone is eithe... | Susan is not humble. | contradiction | (![X]:(tall(X)<=>(funny(X)|~patient(X))))&
(![X]:((~brave(X)&~kind(X))<=>(~curious(X)&patient(X))))&
((?[X]:(~generous(X)))<=>(old(susan)))&
(![X]:(~funny(X)=>(~generous(X)|kind(X))))&
((?[X]:((quiet(X)<~>old(X))))<=>(?[X]:((generous(X)<~>old(X)))))&
(![X]:((patient(X)<~>rich(X))=>(strong(X)|~calm(X))))&
(![X]:((~stron... | ~humble(susan) | [
"p2",
"p6",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 714617225346375897877761
% SZS output start Proof for 714617225346375897877761
3. ? [X0] : ~generous(X0) <=> old(susan) [input p2]
7. ! [X0] : ((~happy(X0) | ~strong(X0)) => (happy(X0) & ~generous(X0))) [input p6]
10. ! [X0] : ((humble(X0) <~> old(X0)) <=> (~happy(X0) & rich(X0))) [input ... | 0 |
Everyone who is not patient or wise is both funny and tall. If someone is happy then mary is not generous or funny. If someone is funny then mary is either brave or not curious. Everyone who is not old is not patient. If someone is both not quiet and quiet then mary is happy. If someone is either not brave or not curio... | Paul is not funny. | contradiction | (![X]:((~patient(X)|wise(X))=>(funny(X)&tall(X))))&
((?[X]:(happy(X)))=>((~generous(mary)|funny(mary))))&
((?[X]:(funny(X)))=>((brave(mary)<~>~curious(mary))))&
(![X]:(~old(X)=>~patient(X)))&
((?[X]:((~quiet(X)&quiet(X))))=>(happy(mary)))&
((?[X]:((~brave(X)<~>~curious(X))))<=>((~funny(fred)&strong(fred))))&
((?[X]:((o... | ~funny(paul) | [
"p0",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3614878315904673063933099
% SZS output start Proof for 3614878315904673063933099
1. ! [X0] : ((wise(X0) | ~patient(X0)) => (tall(X0) & funny(X0))) [input p0]
10. ! [X0] : (~wise(X0) => ~strong(X0)) [input p9]
23. strong(paul) [input p22]
24. ~funny(paul) [input hypothesis]
30. ! [X0] : ((... | 0 |
If alice is both strong and not patient then someone is not funny.
If susan is not curious then alice is not funny or not quiet and vice versa.
If paul is not strong then someone is either not creative or not strong and vice versa.
Everyone who is not creative or not funny is brave and vice versa.
If fred is brave then... | Fred is not generous. | entailment | (((strong(alice)&~patient(alice)))=>(?[X]:(~funny(X))))&
((~curious(susan))<=>((~funny(alice)|~quiet(alice))))&
((~strong(paul))<=>(?[X]:((~creative(X)<~>~strong(X)))))&
(![X]:((~creative(X)|~funny(X))<=>brave(X)))&
((brave(fred))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)&patient(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:((... | ~generous(fred) | [
"p3",
"p4",
"p8",
"p9",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 39357060612730937571269
% SZS output start Proof for 39357060612730937571269
4. ! [X0] : ((~funny(X0) | ~creative(X0)) <=> brave(X0)) [input p3]
5. brave(fred) <=> ? [X0] : funny(X0) [input p4]
9. ~funny(fred) <=> ? [X0] : (~old(X0) | creative(X0)) [input p8]
10. ! [X0] : ((~humble(X0) & ... | 0 |
If susan is either not patient or not brave then paul is both not happy and humble. Everyone who is both wise and not tall is not humble or calm and vice versa. If someone is both not old and kind then someone is both not rich and not calm. If someone is strong or not calm then someone is not tall and vice versa. Every... | Mary is funny. | contradiction | (((~patient(susan)<~>~brave(susan)))=>((~happy(paul)&humble(paul))))&
(![X]:((wise(X)&~tall(X))<=>(~humble(X)|calm(X))))&
((?[X]:((~old(X)&kind(X))))=>(?[X]:((~rich(X)&~calm(X)))))&
((?[X]:((strong(X)|~calm(X))))<=>(?[X]:(~tall(X))))&
(![X]:((rich(X)&~calm(X))=>(~tall(X)<~>~creative(X))))&
(![X]:(generous(X)=>~brave(X)... | funny(mary) | [
"p1",
"p5",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4240217830473100754469775
% SZS output start Proof for 4240217830473100754469775
2. ! [X0] : ((~tall(X0) & wise(X0)) <=> (calm(X0) | ~humble(X0))) [input p1]
6. ! [X0] : (generous(X0) => ~brave(X0)) [input p5]
8. ? [X0] : (~generous(X0) | creative(X0)) => ? [X0] : (~humble(X0) & kind(X0))... | 0 |
If someone is both not brave and old then mary is both old and strong and vice versa. Everyone who is not wise or not old is curious and vice versa. Everyone who is either calm or humble is both not generous and kind and vice versa. If someone is either brave or patient then someone is both not curious and not tall and... | Paul is generous. | entailment | ((?[X]:((~brave(X)&old(X))))<=>((old(mary)&strong(mary))))&
(![X]:((~wise(X)|~old(X))<=>curious(X)))&
(![X]:((calm(X)<~>humble(X))<=>(~generous(X)&kind(X))))&
((?[X]:((brave(X)<~>patient(X))))<=>(?[X]:((~curious(X)&~tall(X)))))&
(![X]:((~tall(X)<~>~generous(X))<=>humble(X)))&
((patient(paul))<=>(?[X]:((~tall(X)&~genero... | generous(paul) | [
"p4",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7769524052846449674681692
% SZS output start Proof for 7769524052846449674681692
5. ! [X0] : ((~tall(X0) <~> ~generous(X0)) <=> humble(X0)) [input p4]
7. ! [X0] : ((creative(X0) & ~tall(X0)) <=> (~wise(X0) | humble(X0))) [input p6]
13. ! [X0] : ((~quiet(X0) | ~tall(X0)) <=> generous(X0)) ... | 0 |
If alice is not generous or curious then paul is kind. If lucy is not wise then someone is not quiet and vice versa. Everyone who is not generous or wise is either curious or happy. Everyone who is not rich or not funny is wise. Everyone who is both not curious and patient is not calm and vice versa. If paul is either ... | Paul is not tall. | entailment | (((~generous(alice)|curious(alice)))=>(kind(paul)))&
((~wise(lucy))<=>(?[X]:(~quiet(X))))&
(![X]:((~generous(X)|wise(X))=>(curious(X)<~>happy(X))))&
(![X]:((~rich(X)|~funny(X))=>wise(X)))&
(![X]:((~curious(X)&patient(X))<=>~calm(X)))&
(((~humble(paul)<~>old(paul)))<=>(?[X]:((tall(X)<~>~humble(X)))))&
(((~quiet(alice)<~... | ~tall(paul) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6662878683926688452621449
% SZS output start Proof for 6662878683926688452621449
19. ~tall(paul) [input p18]
25. tall(paul) [input hypothesis]
139. ~tall(paul) [cnf transformation 19]
146. tall(paul) [cnf transformation 25]
320. $false [subsumption resolution 146,139]
% SZS output end Pro... | 0 |
If someone is not funny or not old then someone is both humble and kind. Everyone who is both not wise and not generous is not kind or curious and vice versa. Everyone who is not curious or not rich is not quiet and vice versa. If someone is both kind and humble then someone is happy or calm. If john is not kind or hap... | John is not creative. | neutral | ((?[X]:((~funny(X)|~old(X))))=>(?[X]:((humble(X)&kind(X)))))&
(![X]:((~wise(X)&~generous(X))<=>(~kind(X)|curious(X))))&
(![X]:((~curious(X)|~rich(X))<=>~quiet(X)))&
((?[X]:((kind(X)&humble(X))))=>(?[X]:((happy(X)|calm(X)))))&
(((~kind(john)|happy(john)))<=>((old(lucy)<~>brave(lucy))))&
(![X]:((wise(X)|~kind(X))<=>(humb... | ~creative(john) | [] | null | 0 |
Everyone who is either not calm or creative is strong.
If someone is not calm then mary is both old and generous.
Everyone who is both rich and not curious is tall.
If someone is not curious or not strong then susan is either not tall or quiet.
If someone is either kind or not humble then john is either brave or not ge... | Lucy is patient. | contradiction | (![X]:((~calm(X)<~>creative(X))=>strong(X)))&
((?[X]:(~calm(X)))=>((old(mary)&generous(mary))))&
(![X]:((rich(X)&~curious(X))=>tall(X)))&
((?[X]:((~curious(X)|~strong(X))))=>((~tall(susan)<~>quiet(susan))))&
((?[X]:((kind(X)<~>~humble(X))))<=>((brave(john)<~>~generous(john))))&
((?[X]:((funny(X)|~old(X))))=>(?[X]:((~qu... | patient(lucy) | [
"p6",
"p7",
"p10",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7327383482700420836777321
% SZS output start Proof for 7327383482700420836777321
7. ! [X0] : ((quiet(X0) | strong(X0)) => (~humble(X0) <~> funny(X0))) [input p6]
8. ! [X0] : ((old(X0) <~> strong(X0)) <=> (~funny(X0) | ~old(X0))) [input p7]
11. ! [X0] : (humble(X0) <=> patient(X0)) [input ... | 0 |
Everyone who is kind or generous is both rich and brave.
Everyone who is not quiet is funny or strong.
Everyone who is not patient is not old and vice versa.
If someone is funny then mary is not quiet.
Everyone who is either happy or patient is either not wise or kind and vice versa.
Everyone who is funny or not curiou... | Lucy is curious. | neutral | (![X]:((kind(X)|generous(X))=>(rich(X)&brave(X))))&
(![X]:(~quiet(X)=>(funny(X)|strong(X))))&
(![X]:(~patient(X)<=>~old(X)))&
((?[X]:(funny(X)))=>(~quiet(mary)))&
(![X]:((happy(X)<~>patient(X))<=>(~wise(X)<~>kind(X))))&
(![X]:((funny(X)|~curious(X))=>~wise(X)))&
((?[X]:((patient(X)&brave(X))))<=>((~brave(lucy)|~curious... | curious(lucy) | [] | null | 0 |
If someone is both not kind and strong then someone is not generous or rich.
If someone is both not strong and not wise then alice is calm.
If john is either strong or happy then someone is funny.
If paul is both not old and not creative then fred is not strong and vice versa.
Everyone who is tall is not curious.
Every... | Mary is brave. | entailment | ((?[X]:((~kind(X)&strong(X))))=>(?[X]:((~generous(X)|rich(X)))))&
((?[X]:((~strong(X)&~wise(X))))=>(calm(alice)))&
(((strong(john)<~>happy(john)))=>(?[X]:(funny(X))))&
(((~old(paul)&~creative(paul)))<=>(~strong(fred)))&
(![X]:(tall(X)=>~curious(X)))&
(![X]:(~quiet(X)=>(kind(X)|happy(X))))&
((?[X]:((rich(X)&brave(X))))=... | brave(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4184815874730301815406079
% SZS output start Proof for 4184815874730301815406079
22. brave(mary) [input p21]
25. ~brave(mary) [input hypothesis]
129. brave(mary) [cnf transformation 22]
132. ~brave(mary) [cnf transformation 25]
296. $false [subsumption resolution 132,129]
% SZS output end... | 0 |
Everyone who is both rich and humble is either rich or not curious and vice versa.
Everyone who is either happy or calm is not creative and vice versa.
Everyone who is tall or not kind is either not patient or creative.
Everyone who is rich is both funny and not kind and vice versa.
Everyone who is not kind is either q... | Fred is not strong. | entailment | (![X]:((rich(X)&humble(X))<=>(rich(X)<~>~curious(X))))&
(![X]:((happy(X)<~>calm(X))<=>~creative(X)))&
(![X]:((tall(X)|~kind(X))=>(~patient(X)<~>creative(X))))&
(![X]:(rich(X)<=>(funny(X)&~kind(X))))&
(![X]:(~kind(X)<=>(quiet(X)<~>~rich(X))))&
(((~kind(susan)<~>~generous(susan)))<=>((~creative(susan)&quiet(susan))))&
((... | ~strong(fred) | [
"p3",
"p4",
"p9",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1450003476093839574675139
% SZS output start Proof for 1450003476093839574675139
4. ! [X0] : (rich(X0) <=> (~kind(X0) & funny(X0))) [input p3]
5. ! [X0] : (~kind(X0) <=> (quiet(X0) <~> ~rich(X0))) [input p4]
10. ! [X0] : ((funny(X0) | happy(X0)) => (~funny(X0) <~> ~rich(X0))) [input p9]
1... | 0 |
If someone is either not kind or not strong then someone is curious or happy.
If fred is either not curious or tall then someone is both funny and not humble and vice versa.
Everyone who is humble is generous.
Everyone who is either quiet or not patient is calm or not creative and vice versa.
If paul is not happy then ... | Mary is not patient. | neutral | ((?[X]:((~kind(X)<~>~strong(X))))=>(?[X]:((curious(X)|happy(X)))))&
(((~curious(fred)<~>tall(fred)))<=>(?[X]:((funny(X)&~humble(X)))))&
(![X]:(humble(X)=>generous(X)))&
(![X]:((quiet(X)<~>~patient(X))<=>(calm(X)|~creative(X))))&
((~happy(paul))<=>((kind(fred)<~>~creative(fred))))&
(![X]:((funny(X)|~wise(X))=>(~curious(... | ~patient(mary) | [] | null | 0 |
Everyone who is not kind is rich or not calm and vice versa.
Everyone who is both curious and quiet is not tall and vice versa.
Everyone who is either happy or old is happy or quiet and vice versa.
Everyone who is either wise or creative is both not patient and not happy.
Everyone who is both not curious and not strong... | Mary is not kind. | entailment | (![X]:(~kind(X)<=>(rich(X)|~calm(X))))&
(![X]:((curious(X)&quiet(X))<=>~tall(X)))&
(![X]:((happy(X)<~>old(X))<=>(happy(X)|quiet(X))))&
(![X]:((wise(X)<~>creative(X))=>(~patient(X)&~happy(X))))&
(![X]:((~curious(X)&~strong(X))<=>~old(X)))&
((?[X]:(patient(X)))<=>(?[X]:((funny(X)<~>~brave(X)))))&
(![X]:((~patient(X)|rich... | ~kind(mary) | [
"p0",
"p4",
"p6",
"p7",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5889910052449298820413294
% SZS output start Proof for 5889910052449298820413294
1. ! [X0] : (~kind(X0) <=> (~calm(X0) | rich(X0))) [input p0]
5. ! [X0] : ((~strong(X0) & ~curious(X0)) <=> ~old(X0)) [input p4]
7. ! [X0] : ((rich(X0) | ~patient(X0)) => (calm(X0) <~> old(X0))) [input p6]
8.... | 0 |
Everyone who is generous is curious.
Everyone who is either quiet or kind is not wise and vice versa.
If paul is not curious or funny then someone is not quiet and vice versa.
Everyone who is happy is both creative and not strong and vice versa.
Everyone who is quiet is creative or not generous.
If paul is not kind the... | John is not generous. | contradiction | (![X]:(generous(X)=>curious(X)))&
(![X]:((quiet(X)<~>kind(X))<=>~wise(X)))&
(((~curious(paul)|funny(paul)))<=>(?[X]:(~quiet(X))))&
(![X]:(happy(X)<=>(creative(X)&~strong(X))))&
(![X]:(quiet(X)=>(creative(X)|~generous(X))))&
((~kind(paul))=>((curious(fred)&~happy(fred))))&
((?[X]:((quiet(X)|~generous(X))))<=>(?[X]:((~ol... | ~generous(john) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5724308007762847131295108
% SZS output start Proof for 5724308007762847131295108
7. ? [X0] : (~generous(X0) | quiet(X0)) <=> ? [X0] : (~tall(X0) & ~old(X0)) [input p6]
13. ! [X0] : ((generous(X0) & tall(X0)) <=> (~creative(X0) | ~tall(X0))) [input p12]
20. ~generous(john) [input hypothesi... | 0 |
Everyone who is funny or not calm is brave and vice versa.
If fred is not calm or not tall then someone is curious or calm and vice versa.
If susan is either not creative or patient then paul is both not patient and not brave and vice versa.
Everyone who is either quiet or generous is not quiet.
Everyone who is happy i... | Paul is not generous. | entailment | (![X]:((funny(X)|~calm(X))<=>brave(X)))&
(((~calm(fred)|~tall(fred)))<=>(?[X]:((curious(X)|calm(X)))))&
(((~creative(susan)<~>patient(susan)))<=>((~patient(paul)&~brave(paul))))&
(![X]:((quiet(X)<~>generous(X))=>~quiet(X)))&
(![X]:(happy(X)=>(funny(X)<~>~wise(X))))&
((?[X]:((~rich(X)|~patient(X))))=>(~brave(paul)))&
(!... | ~generous(paul) | [
"p10",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3724715872438133235938880
% SZS output start Proof for 3724715872438133235938880
11. ! [X0] : (~rich(X0) <=> (happy(X0) & ~curious(X0))) [input p10]
13. ! [X0] : ((happy(X0) | ~tall(X0)) => (~generous(X0) & humble(X0))) [input p12]
23. ~tall(paul) <~> ~rich(paul) [input p22]
24. generous(... | 0 |
If susan is not rich then susan is humble or not calm. Everyone who is not calm is either quiet or humble and vice versa. If fred is not creative or not generous then someone is not calm or not tall. Everyone who is funny is not kind or patient and vice versa. If someone is either brave or funny then someone is both no... | Fred is patient. | contradiction | ((~rich(susan))=>((humble(susan)|~calm(susan))))&
(![X]:(~calm(X)<=>(quiet(X)<~>humble(X))))&
(((~creative(fred)|~generous(fred)))=>(?[X]:((~calm(X)|~tall(X)))))&
(![X]:(funny(X)<=>(~kind(X)|patient(X))))&
((?[X]:((brave(X)<~>funny(X))))=>(?[X]:((~generous(X)&brave(X)))))&
(![X]:((~generous(X)|wise(X))=>(~humble(X)<~>~... | patient(fred) | [
"p3",
"p4",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 114979278284973708145461
% SZS output start Proof for 114979278284973708145461
4. ! [X0] : (funny(X0) <=> (patient(X0) | ~kind(X0))) [input p3]
5. ? [X0] : (brave(X0) <~> funny(X0)) => ? [X0] : (brave(X0) & ~generous(X0)) [input p4]
10. ! [X0] : ((~generous(X0) | funny(X0)) => (old(X0) & ... | 0 |
If someone is both not happy and tall then someone is not tall or not patient and vice versa. If susan is not quiet or funny then lucy is both not tall and not calm and vice versa. If someone is strong or patient then paul is creative or not patient and vice versa. If someone is either not calm or creative then alice i... | Paul is not wise. | contradiction | ((?[X]:((~happy(X)&tall(X))))<=>(?[X]:((~tall(X)|~patient(X)))))&
(((~quiet(susan)|funny(susan)))<=>((~tall(lucy)&~calm(lucy))))&
((?[X]:((strong(X)|patient(X))))<=>((creative(paul)|~patient(paul))))&
((?[X]:((~calm(X)<~>creative(X))))<=>((brave(alice)<~>humble(alice))))&
((?[X]:((generous(X)<~>~wise(X))))=>(?[X]:((gen... | ~wise(paul) | [
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8848470460842805437978865
% SZS output start Proof for 8848470460842805437978865
9. ! [X0] : (old(X0) <=> (~tall(X0) | ~wise(X0))) [input p8]
24. ~old(paul) [input p23]
25. ~wise(paul) [input hypothesis]
59. ! [X0] : ((old(X0) | (tall(X0) & wise(X0))) & ((~tall(X0) | ~wise(X0)) | ~old(X0)... | 0 |
Everyone who is not curious or not rich is strong.
Everyone who is not generous or not patient is either not quiet or quiet and vice versa.
Everyone who is both kind and not calm is not kind or brave.
If alice is both not creative and not happy then someone is either not strong or not rich.
If someone is rich or not ge... | Alice is not strong. | neutral | (![X]:((~curious(X)|~rich(X))=>strong(X)))&
(![X]:((~generous(X)|~patient(X))<=>(~quiet(X)<~>quiet(X))))&
(![X]:((kind(X)&~calm(X))=>(~kind(X)|brave(X))))&
(((~creative(alice)&~happy(alice)))=>(?[X]:((~strong(X)<~>~rich(X)))))&
((?[X]:((rich(X)|~generous(X))))<=>((wise(paul)&~old(paul))))&
(![X]:((~quiet(X)|creative(X)... | ~strong(alice) | [] | null | 0 |
Everyone who is both not generous and wise is either not curious or not calm and vice versa.
Everyone who is both not tall and not happy is not patient and vice versa.
If someone is either kind or generous then someone is not humble.
Everyone who is both not wise and rich is funny or humble and vice versa.
Everyone who... | Alice is kind. | entailment | (![X]:((~generous(X)&wise(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:((~tall(X)&~happy(X))<=>~patient(X)))&
((?[X]:((kind(X)<~>generous(X))))=>(?[X]:(~humble(X))))&
(![X]:((~wise(X)&rich(X))<=>(funny(X)|humble(X))))&
(![X]:((quiet(X)<~>humble(X))<=>(~tall(X)&~old(X))))&
((?[X]:((~tall(X)|~calm(X))))=>(old(susan)))&
((?[X]... | kind(alice) | [
"p2",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3082505354303817630109568
% SZS output start Proof for 3082505354303817630109568
3. ? [X0] : (kind(X0) <~> generous(X0)) => ? [X0] : ~humble(X0) [input p2]
7. ? [X0] : ~humble(X0) <=> (brave(alice) & kind(alice)) [input p6]
14. ! [X0] : ((generous(X0) & ~tall(X0)) <=> (~brave(X0) | brave(... | 0 |
Everyone who is not rich or humble is patient or wise.
If alice is tall or not patient then someone is both quiet and patient and vice versa.
Everyone who is not calm is both not patient and curious and vice versa.
If lucy is both not wise and wise then someone is wise or not quiet and vice versa.
Everyone who is both ... | Susan is rich. | entailment | (![X]:((~rich(X)|humble(X))=>(patient(X)|wise(X))))&
(((tall(alice)|~patient(alice)))<=>(?[X]:((quiet(X)&patient(X)))))&
(![X]:(~calm(X)<=>(~patient(X)&curious(X))))&
(((~wise(lucy)&wise(lucy)))<=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:((~humble(X)&~tall(X))<=>(calm(X)&~funny(X))))&
(![X]:((curious(X)<~>~quiet(X))<=>(~ol... | rich(susan) | [
"p1",
"p3",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3361806631053852612167622
% SZS output start Proof for 3361806631053852612167622
2. (~patient(alice) | tall(alice)) <=> ? [X0] : (patient(X0) & quiet(X0)) [input p1]
4. (wise(lucy) & ~wise(lucy)) <=> ? [X0] : (~quiet(X0) | wise(X0)) [input p3]
10. ! [X0] : ((~rich(X0) <~> ~tall(X0)) <=> (... | 0 |
Everyone who is not funny is not curious or not quiet and vice versa.
Everyone who is strong or not curious is both not strong and not tall.
Everyone who is old is both funny and not creative.
Everyone who is not rich or funny is not happy.
Everyone who is curious or not happy is not brave or humble and vice versa.
If ... | Mary is not strong. | entailment | (![X]:(~funny(X)<=>(~curious(X)|~quiet(X))))&
(![X]:((strong(X)|~curious(X))=>(~strong(X)&~tall(X))))&
(![X]:(old(X)=>(funny(X)&~creative(X))))&
(![X]:((~rich(X)|funny(X))=>~happy(X)))&
(![X]:((curious(X)|~happy(X))<=>(~brave(X)|humble(X))))&
(((~happy(susan)&tall(susan)))<=>(?[X]:((~humble(X)<~>~patient(X)))))&
(((~ca... | ~strong(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5334816733421440066479943
% SZS output start Proof for 5334816733421440066479943
2. ! [X0] : ((~curious(X0) | strong(X0)) => (~tall(X0) & ~strong(X0))) [input p1]
25. strong(mary) [input hypothesis]
30. ! [X0] : ((~tall(X0) & ~strong(X0)) | (curious(X0) & ~strong(X0))) [ennf transformatio... | 0 |
Everyone who is both not tall and not generous is happy or wise.
If someone is either not old or wise then lucy is happy or humble and vice versa.
Everyone who is either not tall or not patient is both kind and happy and vice versa.
If john is not curious then someone is not old or not calm and vice versa.
If fred is n... | Fred is not strong. | neutral | (![X]:((~tall(X)&~generous(X))=>(happy(X)|wise(X))))&
((?[X]:((~old(X)<~>wise(X))))<=>((happy(lucy)|humble(lucy))))&
(![X]:((~tall(X)<~>~patient(X))<=>(kind(X)&happy(X))))&
((~curious(john))<=>(?[X]:((~old(X)|~calm(X)))))&
((~quiet(fred))<=>(?[X]:((~strong(X)|funny(X)))))&
(![X]:((~strong(X)&happy(X))<=>~creative(X)))&... | ~strong(fred) | [] | null | 0 |
If fred is either not calm or happy then fred is not old or wise and vice versa.
Everyone who is both happy and not generous is either creative or not tall and vice versa.
Everyone who is generous is both quiet and curious and vice versa.
If someone is either funny or not tall then mary is not humble or not kind.
If lu... | Susan is generous. | neutral | (((~calm(fred)<~>happy(fred)))<=>((~old(fred)|wise(fred))))&
(![X]:((happy(X)&~generous(X))<=>(creative(X)<~>~tall(X))))&
(![X]:(generous(X)<=>(quiet(X)&curious(X))))&
((?[X]:((funny(X)<~>~tall(X))))=>((~humble(mary)|~kind(mary))))&
(((calm(lucy)<~>~kind(lucy)))=>((~curious(alice)|brave(alice))))&
(![X]:((generous(X)&t... | generous(susan) | [] | null | 0 |
Everyone who is either happy or not strong is not strong and vice versa.
Everyone who is wise or brave is not funny or brave and vice versa.
If john is not happy or not kind then someone is either not tall or humble.
If alice is not brave or tall then someone is calm.
Everyone who is creative is not brave.
Everyone who... | Mary is old. | neutral | (![X]:((happy(X)<~>~strong(X))<=>~strong(X)))&
(![X]:((wise(X)|brave(X))<=>(~funny(X)|brave(X))))&
(((~happy(john)|~kind(john)))=>(?[X]:((~tall(X)<~>humble(X)))))&
(((~brave(alice)|tall(alice)))=>(?[X]:(calm(X))))&
(![X]:(creative(X)=>~brave(X)))&
(![X]:((strong(X)<~>tall(X))<=>(funny(X)|~old(X))))&
(![X]:((~rich(X)&ri... | old(mary) | [] | null | 0 |
Everyone who is both not calm and not generous is both humble and not strong.
If lucy is not patient or not kind then susan is not curious.
If susan is both not generous and not rich then someone is not quiet and vice versa.
If someone is tall or generous then someone is either not old or brave.
If someone is brave the... | Mary is generous. | contradiction | (![X]:((~calm(X)&~generous(X))=>(humble(X)&~strong(X))))&
(((~patient(lucy)|~kind(lucy)))=>(~curious(susan)))&
(((~generous(susan)&~rich(susan)))<=>(?[X]:(~quiet(X))))&
((?[X]:((tall(X)|generous(X))))=>(?[X]:((~old(X)<~>brave(X)))))&
((?[X]:(brave(X)))<=>((humble(john)&rich(john))))&
(![X]:((~curious(X)<~>creative(X))<... | generous(mary) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 139258655035928038450254
% SZS output start Proof for 139258655035928038450254
14. ? [X0] : generous(X0) <=> (~generous(mary) & ~wise(mary)) [input p13]
25. generous(mary) [input hypothesis]
64. (? [X0] : generous(X0) | (generous(mary) | wise(mary))) & ((~generous(mary) & ~wise(mary)) | !... | 0 |
If lucy is curious or old then someone is quiet or not calm. If someone is either kind or strong then someone is generous and vice versa. If paul is either patient or not creative then someone is both not rich and funny and vice versa. If someone is patient then someone is either not funny or funny. If someone is gener... | Fred is quiet. | contradiction | (((curious(lucy)|old(lucy)))=>(?[X]:((quiet(X)|~calm(X)))))&
((?[X]:((kind(X)<~>strong(X))))<=>(?[X]:(generous(X))))&
(((patient(paul)<~>~creative(paul)))<=>(?[X]:((~rich(X)&funny(X)))))&
((?[X]:(patient(X)))=>(?[X]:((~funny(X)<~>funny(X)))))&
((?[X]:(generous(X)))<=>((brave(mary)|~rich(mary))))&
((?[X]:((~brave(X)&hum... | quiet(fred) | [
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8925076285623617853902679
% SZS output start Proof for 8925076285623617853902679
12. ! [X0] : ((generous(X0) | funny(X0)) => ~quiet(X0)) [input p11]
20. rich(fred) & generous(fred) [input p19]
25. quiet(fred) [input hypothesis]
35. ! [X0] : (~quiet(X0) | (~generous(X0) & ~funny(X0))) [enn... | 0 |
If john is patient then lucy is not quiet.
Everyone who is both brave and rich is calm or not patient.
Everyone who is both calm and curious is either not patient or rich.
Everyone who is both humble and not tall is quiet and vice versa.
If someone is not strong then someone is both quiet and not rich and vice versa.
E... | Fred is not creative. | neutral | ((patient(john))=>(~quiet(lucy)))&
(![X]:((brave(X)&rich(X))=>(calm(X)|~patient(X))))&
(![X]:((calm(X)&curious(X))=>(~patient(X)<~>rich(X))))&
(![X]:((humble(X)&~tall(X))<=>quiet(X)))&
((?[X]:(~strong(X)))<=>(?[X]:((quiet(X)&~rich(X)))))&
(![X]:(old(X)=>(~wise(X)|patient(X))))&
((?[X]:((~happy(X)&curious(X))))=>(?[X]:(... | ~creative(fred) | [] | null | 0 |
Everyone who is not curious is not wise or not old.
If someone is either brave or not funny then lucy is rich.
If someone is generous or creative then someone is both not tall and not kind and vice versa.
Everyone who is both not old and old is generous.
Everyone who is generous is not wise and vice versa.
Everyone who... | Susan is wise. | entailment | (![X]:(~curious(X)=>(~wise(X)|~old(X))))&
((?[X]:((brave(X)<~>~funny(X))))=>(rich(lucy)))&
((?[X]:((generous(X)|creative(X))))<=>(?[X]:((~tall(X)&~kind(X)))))&
(![X]:((~old(X)&old(X))=>generous(X)))&
(![X]:(generous(X)<=>~wise(X)))&
(![X]:(old(X)=>(~tall(X)|~humble(X))))&
(((~kind(john)&wise(john)))=>(?[X]:(~rich(X))))... | wise(susan) | [
"p2",
"p4",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5597847520363459833823419
% SZS output start Proof for 5597847520363459833823419
3. ? [X0] : (creative(X0) | generous(X0)) <=> ? [X0] : (~kind(X0) & ~tall(X0)) [input p2]
5. ! [X0] : (generous(X0) <=> ~wise(X0)) [input p4]
11. ! [X0] : ((~creative(X0) | ~tall(X0)) => (wise(X0) & humble(X0... | 0 |
If fred is not wise or not old then susan is either funny or patient and vice versa.
If someone is not humble then someone is not calm or not kind and vice versa.
Everyone who is brave or not rich is either not rich or not quiet and vice versa.
Everyone who is strong is not creative or humble.
If someone is both not ri... | Susan is not old. | neutral | (((~wise(fred)|~old(fred)))<=>((funny(susan)<~>patient(susan))))&
((?[X]:(~humble(X)))<=>(?[X]:((~calm(X)|~kind(X)))))&
(![X]:((brave(X)|~rich(X))<=>(~rich(X)<~>~quiet(X))))&
(![X]:(strong(X)=>(~creative(X)|humble(X))))&
((?[X]:((~rich(X)&~old(X))))=>(?[X]:((happy(X)<~>~old(X)))))&
(![X]:(~old(X)<=>wise(X)))&
(![X]:((~... | ~old(susan) | [] | null | 0 |
Everyone who is quiet is generous or not strong and vice versa.
If someone is calm or rich then someone is happy and vice versa.
Everyone who is not old is both not happy and patient and vice versa.
If someone is generous then someone is both not kind and not curious.
Everyone who is not humble or creative is funny.
Ev... | Paul is humble. | neutral | (![X]:(quiet(X)<=>(generous(X)|~strong(X))))&
((?[X]:((calm(X)|rich(X))))<=>(?[X]:(happy(X))))&
(![X]:(~old(X)<=>(~happy(X)&patient(X))))&
((?[X]:(generous(X)))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:((~humble(X)|creative(X))=>funny(X)))&
(![X]:((~patient(X)|wise(X))=>(~happy(X)<~>quiet(X))))&
((?[X]:((kind(X)<~>humb... | humble(paul) | [] | null | 0 |
Everyone who is either rich or not funny is not funny or old and vice versa. Everyone who is not curious or funny is both not brave and quiet and vice versa. Everyone who is either funny or not brave is either not rich or generous and vice versa. If mary is not brave then lucy is wise or not calm. Everyone who is both ... | John is not old. | contradiction | (![X]:((rich(X)<~>~funny(X))<=>(~funny(X)|old(X))))&
(![X]:((~curious(X)|funny(X))<=>(~brave(X)&quiet(X))))&
(![X]:((funny(X)<~>~brave(X))<=>(~rich(X)<~>generous(X))))&
((~brave(mary))=>((wise(lucy)|~calm(lucy))))&
(![X]:((old(X)&~curious(X))<=>(old(X)&strong(X))))&
(((~calm(alice)|humble(alice)))=>(?[X]:((~brave(X)<~>... | ~old(john) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p8",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4434832262710251340286366
% SZS output start Proof for 4434832262710251340286366
1. ! [X0] : ((rich(X0) <~> ~funny(X0)) <=> (old(X0) | ~funny(X0))) [input p0]
2. ! [X0] : ((funny(X0) | ~curious(X0)) <=> (quiet(X0) & ~brave(X0))) [input p1]
3. ! [X0] : ((funny(X0) <~> ~brave(X0)) <=> (~ric... | 0 |
Everyone who is kind or not patient is both not brave and not rich and vice versa.
Everyone who is both rich and not strong is old and vice versa.
Everyone who is both not brave and funny is kind or curious and vice versa.
If someone is brave then mary is both old and patient.
Everyone who is not happy is either funny ... | Lucy is strong. | entailment | (![X]:((kind(X)|~patient(X))<=>(~brave(X)&~rich(X))))&
(![X]:((rich(X)&~strong(X))<=>old(X)))&
(![X]:((~brave(X)&funny(X))<=>(kind(X)|curious(X))))&
((?[X]:(brave(X)))=>((old(mary)&patient(mary))))&
(![X]:(~happy(X)<=>(funny(X)<~>~brave(X))))&
(![X]:((~creative(X)&~curious(X))=>(~patient(X)|~old(X))))&
(![X]:(strong(X)... | strong(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6588381111020487866889595
% SZS output start Proof for 6588381111020487866889595
7. ! [X0] : (strong(X0) <=> (patient(X0) | ~strong(X0))) [input p6]
23. ~strong(lucy) [input hypothesis]
41. ! [X0] : ((strong(X0) | (~patient(X0) & strong(X0))) & ((patient(X0) | ~strong(X0)) | ~strong(X0)))... | 0 |
Everyone who is both not rich and happy is quiet or calm. If someone is not patient or not tall then alice is not funny and vice versa. If someone is not tall or humble then lucy is not happy or not strong and vice versa. If someone is either not wise or not brave then someone is rich or happy and vice versa. Everyone ... | Lucy is creative. | neutral | (![X]:((~rich(X)&happy(X))=>(quiet(X)|calm(X))))&
((?[X]:((~patient(X)|~tall(X))))<=>(~funny(alice)))&
((?[X]:((~tall(X)|humble(X))))<=>((~happy(lucy)|~strong(lucy))))&
((?[X]:((~wise(X)<~>~brave(X))))<=>(?[X]:((rich(X)|happy(X)))))&
(![X]:((~old(X)|patient(X))=>(curious(X)|~strong(X))))&
((~generous(susan))=>(?[X]:((p... | creative(lucy) | [] | null | 0 |
If someone is curious then someone is humble or not strong.
If someone is both patient and not creative then someone is not old and vice versa.
Everyone who is both not humble and not quiet is not funny or not brave and vice versa.
Everyone who is both not wise and not humble is wise.
Everyone who is happy or not old i... | Lucy is not rich. | neutral | ((?[X]:(curious(X)))=>(?[X]:((humble(X)|~strong(X)))))&
((?[X]:((patient(X)&~creative(X))))<=>(?[X]:(~old(X))))&
(![X]:((~humble(X)&~quiet(X))<=>(~funny(X)|~brave(X))))&
(![X]:((~wise(X)&~humble(X))=>wise(X)))&
(![X]:((happy(X)|~old(X))<=>(~happy(X)&~funny(X))))&
((?[X]:((rich(X)&~patient(X))))<=>(~tall(paul)))&
(![X]:... | ~rich(lucy) | [] | null | 0 |
If someone is either strong or generous then paul is wise and vice versa.
Everyone who is tall or old is old and vice versa.
If mary is both not generous and not patient then paul is wise or generous.
Everyone who is funny is either tall or strong and vice versa.
Everyone who is not calm is not patient or happy.
If joh... | Paul is not humble. | neutral | ((?[X]:((strong(X)<~>generous(X))))<=>(wise(paul)))&
(![X]:((tall(X)|old(X))<=>old(X)))&
(((~generous(mary)&~patient(mary)))=>((wise(paul)|generous(paul))))&
(![X]:(funny(X)<=>(tall(X)<~>strong(X))))&
(![X]:(~calm(X)=>(~patient(X)|happy(X))))&
(((~calm(john)|quiet(john)))=>(?[X]:((old(X)<~>~old(X)))))&
(![X]:(patient(X... | ~humble(paul) | [] | null | 0 |
Everyone who is either not calm or quiet is both old and not brave.
If someone is humble then lucy is creative or tall and vice versa.
If someone is either humble or not funny then someone is rich or not brave.
Everyone who is both not old and generous is both not generous and wise.
Everyone who is both not calm and hu... | John is not wise. | entailment | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&~brave(X))))&
((?[X]:(humble(X)))<=>((creative(lucy)|tall(lucy))))&
((?[X]:((humble(X)<~>~funny(X))))=>(?[X]:((rich(X)|~brave(X)))))&
(![X]:((~old(X)&generous(X))=>(~generous(X)&wise(X))))&
(![X]:((~calm(X)&humble(X))=>(~happy(X)<~>~funny(X))))&
(![X]:(~curious(X)=>~humble(X)))&
(!... | ~wise(john) | [
"p0",
"p8",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8466395393075341090215571
% SZS output start Proof for 8466395393075341090215571
1. ! [X0] : ((~calm(X0) <~> quiet(X0)) => (~brave(X0) & old(X0))) [input p0]
9. ! [X0] : ((humble(X0) & ~creative(X0)) <=> (humble(X0) & quiet(X0))) [input p8]
10. ? [X0] : (wise(X0) <~> ~quiet(X0)) <=> (humb... | 0 |
If paul is not rich then lucy is either creative or calm and vice versa. Everyone who is both not curious and not humble is not strong or not patient and vice versa. If someone is both not happy and old then john is humble or happy. If mary is kind or creative then someone is not calm or not curious. If someone is eith... | Mary is creative. | neutral | ((~rich(paul))<=>((creative(lucy)<~>calm(lucy))))&
(![X]:((~curious(X)&~humble(X))<=>(~strong(X)|~patient(X))))&
((?[X]:((~happy(X)&old(X))))=>((humble(john)|happy(john))))&
(((kind(mary)|creative(mary)))=>(?[X]:((~calm(X)|~curious(X)))))&
((?[X]:((~kind(X)<~>~curious(X))))<=>(?[X]:(~tall(X))))&
(![X]:(~humble(X)<=>(~q... | creative(mary) | [] | null | 0 |
Everyone who is funny is quiet. Everyone who is generous or not funny is not quiet or not kind and vice versa. Everyone who is patient or not wise is tall or not wise and vice versa. Everyone who is either kind or generous is either not old or tall and vice versa. Everyone who is not wise is either not patient or stron... | Alice is not wise. | neutral | (![X]:(funny(X)=>quiet(X)))&
(![X]:((generous(X)|~funny(X))<=>(~quiet(X)|~kind(X))))&
(![X]:((patient(X)|~wise(X))<=>(tall(X)|~wise(X))))&
(![X]:((kind(X)<~>generous(X))<=>(~old(X)<~>tall(X))))&
(![X]:(~wise(X)=>(~patient(X)<~>strong(X))))&
((old(susan))<=>(?[X]:((funny(X)<~>~brave(X)))))&
(![X]:(~curious(X)<=>(generou... | ~wise(alice) | [] | null | 0 |
Everyone who is funny or not calm is both not quiet and humble. If someone is either not strong or not creative then fred is either creative or not old. Everyone who is both not curious and old is kind and vice versa. Everyone who is quiet or calm is not curious and vice versa. Everyone who is not humble is calm. Every... | Mary is not creative. | neutral | (![X]:((funny(X)|~calm(X))=>(~quiet(X)&humble(X))))&
((?[X]:((~strong(X)<~>~creative(X))))=>((creative(fred)<~>~old(fred))))&
(![X]:((~curious(X)&old(X))<=>kind(X)))&
(![X]:((quiet(X)|calm(X))<=>~curious(X)))&
(![X]:(~humble(X)=>calm(X)))&
(![X]:((patient(X)&funny(X))=>(curious(X)|rich(X))))&
(![X]:((~rich(X)|patient(X... | ~creative(mary) | [] | null | 0 |
If mary is either not curious or strong then someone is both calm and not kind and vice versa.
If someone is either tall or strong then someone is humble and vice versa.
Everyone who is not quiet or kind is happy or calm.
Everyone who is both not old and happy is both not curious and not creative and vice versa.
Everyo... | Mary is not patient. | entailment | (((~curious(mary)<~>strong(mary)))<=>(?[X]:((calm(X)&~kind(X)))))&
((?[X]:((tall(X)<~>strong(X))))<=>(?[X]:(humble(X))))&
(![X]:((~quiet(X)|kind(X))=>(happy(X)|calm(X))))&
(![X]:((~old(X)&happy(X))<=>(~curious(X)&~creative(X))))&
(![X]:((kind(X)|tall(X))=>(wise(X)<~>happy(X))))&
(![X]:((~humble(X)|funny(X))=>(~strong(X... | ~patient(mary) | [
"p7",
"p15",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6966118470833318112400873
% SZS output start Proof for 6966118470833318112400873
8. (patient(mary) & ~humble(mary)) <=> (~patient(alice) | generous(alice)) [input p7]
16. ! [X0] : ((~humble(X0) & ~generous(X0)) <=> (tall(X0) | ~tall(X0))) [input p15]
18. ~old(alice) & patient(alice) [inpu... | 0 |
Everyone who is either humble or strong is calm and vice versa.
Everyone who is both not quiet and quiet is not happy.
Everyone who is curious is both calm and not rich.
If someone is rich or not funny then john is patient or not quiet and vice versa.
If someone is creative or not tall then someone is kind.
Everyone wh... | Lucy is not rich. | entailment | (![X]:((humble(X)<~>strong(X))<=>calm(X)))&
(![X]:((~quiet(X)&quiet(X))=>~happy(X)))&
(![X]:(curious(X)=>(calm(X)&~rich(X))))&
((?[X]:((rich(X)|~funny(X))))<=>((patient(john)|~quiet(john))))&
((?[X]:((creative(X)|~tall(X))))=>(?[X]:(kind(X))))&
(![X]:((strong(X)&funny(X))=>(strong(X)|brave(X))))&
(((~quiet(mary)&curiou... | ~rich(lucy) | [
"p2",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3585821176085400144930615
% SZS output start Proof for 3585821176085400144930615
3. ! [X0] : (curious(X0) => (~rich(X0) & calm(X0))) [input p2]
10. ! [X0] : ((~old(X0) & ~humble(X0)) <=> (~curious(X0) | ~quiet(X0))) [input p9]
23. humble(lucy) <~> ~rich(lucy) [input p22]
25. rich(lucy) [i... | 0 |
Everyone who is both old and not old is either not patient or curious and vice versa. Everyone who is either creative or happy is not tall and vice versa. If someone is quiet or brave then someone is both creative and not happy and vice versa. Everyone who is either not quiet or not curious is not funny or patient. Eve... | Fred is kind. | contradiction | (![X]:((old(X)&~old(X))<=>(~patient(X)<~>curious(X))))&
(![X]:((creative(X)<~>happy(X))<=>~tall(X)))&
((?[X]:((quiet(X)|brave(X))))<=>(?[X]:((creative(X)&~happy(X)))))&
(![X]:((~quiet(X)<~>~curious(X))=>(~funny(X)|patient(X))))&
(![X]:((rich(X)&~creative(X))=>(strong(X)&~humble(X))))&
(((~calm(fred)<~>rich(fred)))=>(?[... | kind(fred) | [
"p8",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2746652496809562530629996
% SZS output start Proof for 2746652496809562530629996
9. ! [X0] : ((~strong(X0) | rich(X0)) => ~kind(X0)) [input p8]
10. ! [X0] : (rich(X0) <=> old(X0)) [input p9]
19. old(fred) [input p18]
24. kind(fred) [input hypothesis]
34. ! [X0] : (~kind(X0) | (strong(X0) ... | 0 |
Everyone who is either kind or not calm is both not rich and not tall.
Everyone who is either rich or not generous is not calm or patient and vice versa.
If someone is either old or generous then someone is funny.
Everyone who is both tall and not rich is patient or not old.
Everyone who is either quiet or generous is ... | Fred is rich. | contradiction | (![X]:((kind(X)<~>~calm(X))=>(~rich(X)&~tall(X))))&
(![X]:((rich(X)<~>~generous(X))<=>(~calm(X)|patient(X))))&
((?[X]:((old(X)<~>generous(X))))=>(?[X]:(funny(X))))&
(![X]:((tall(X)&~rich(X))=>(patient(X)|~old(X))))&
(![X]:((quiet(X)<~>generous(X))<=>(wise(X)&funny(X))))&
((~rich(paul))<=>(?[X]:((~funny(X)&quiet(X)))))&... | rich(fred) | [
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5160165292309177793875699
% SZS output start Proof for 5160165292309177793875699
8. ! [X0] : (rich(X0) <=> (curious(X0) & ~patient(X0))) [input p7]
18. curious(fred) <~> rich(fred) [input p17]
25. rich(fred) [input hypothesis]
58. ! [X0] : ((rich(X0) | (~curious(X0) | patient(X0))) & ((cu... | 0 |
Everyone who is not strong is either calm or not quiet and vice versa. Everyone who is old or calm is both kind and old. If mary is brave then someone is either not curious or not funny. If someone is both brave and not patient then someone is kind. Everyone who is not quiet or creative is wise or not curious and vice ... | Susan is old. | neutral | (![X]:(~strong(X)<=>(calm(X)<~>~quiet(X))))&
(![X]:((old(X)|calm(X))=>(kind(X)&old(X))))&
((brave(mary))=>(?[X]:((~curious(X)<~>~funny(X)))))&
((?[X]:((brave(X)&~patient(X))))=>(?[X]:(kind(X))))&
(![X]:((~quiet(X)|creative(X))<=>(wise(X)|~curious(X))))&
(((happy(mary)<~>quiet(mary)))<=>((~curious(john)&old(john))))&
(!... | old(susan) | [] | null | 0 |
Everyone who is both old and not rich is either not quiet or not old and vice versa.
If lucy is either kind or not curious then mary is not tall or not quiet and vice versa.
Everyone who is either curious or not funny is both strong and not patient and vice versa.
If someone is not rich or not quiet then alice is both ... | Mary is funny. | contradiction | (![X]:((old(X)&~rich(X))<=>(~quiet(X)<~>~old(X))))&
(((kind(lucy)<~>~curious(lucy)))<=>((~tall(mary)|~quiet(mary))))&
(![X]:((curious(X)<~>~funny(X))<=>(strong(X)&~patient(X))))&
((?[X]:((~rich(X)|~quiet(X))))=>((calm(alice)&~old(alice))))&
((?[X]:((rich(X)|strong(X))))=>((~strong(mary)|~tall(mary))))&
(![X]:((~funny(X... | funny(mary) | [
"p0",
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2266283776987322125925312
% SZS output start Proof for 2266283776987322125925312
1. ! [X0] : ((~rich(X0) & old(X0)) <=> (~quiet(X0) <~> ~old(X0))) [input p0]
7. ! [X0] : ((kind(X0) | funny(X0)) => (quiet(X0) & tall(X0))) [input p6]
10. ! [X0] : ((happy(X0) | generous(X0)) <=> (funny(X0) &... | 0 |
Everyone who is both not generous and not creative is curious or not creative.
If someone is not calm then someone is either not wise or not rich.
If someone is brave then someone is both happy and not happy and vice versa.
Everyone who is not funny or not creative is either not strong or rich.
Everyone who is both bra... | Lucy is brave. | contradiction | (![X]:((~generous(X)&~creative(X))=>(curious(X)|~creative(X))))&
((?[X]:(~calm(X)))=>(?[X]:((~wise(X)<~>~rich(X)))))&
((?[X]:(brave(X)))<=>(?[X]:((happy(X)&~happy(X)))))&
(![X]:((~funny(X)|~creative(X))=>(~strong(X)<~>rich(X))))&
(![X]:((brave(X)&generous(X))<=>funny(X)))&
(![X]:((~calm(X)<~>~brave(X))<=>(creative(X)<~... | brave(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 533581634829823669280948
% SZS output start Proof for 533581634829823669280948
3. ? [X0] : brave(X0) <=> ? [X0] : (~happy(X0) & happy(X0)) [input p2]
25. brave(lucy) [input hypothesis]
27. ? [X0] : brave(X0) <=> ? [X1] : (~happy(X1) & happy(X1)) [rectify 3]
45. (? [X0] : brave(X0) | ! [X1... | 0 |
Everyone who is rich is either humble or not patient.
If john is both brave and humble then someone is wise or tall.
If someone is either not brave or humble then someone is either not creative or tall and vice versa.
Everyone who is not wise or not quiet is not humble and vice versa.
Everyone who is both rich and curi... | Paul is not tall. | neutral | (![X]:(rich(X)=>(humble(X)<~>~patient(X))))&
(((brave(john)&humble(john)))=>(?[X]:((wise(X)|tall(X)))))&
((?[X]:((~brave(X)<~>humble(X))))<=>(?[X]:((~creative(X)<~>tall(X)))))&
(![X]:((~wise(X)|~quiet(X))<=>~humble(X)))&
(![X]:((rich(X)&curious(X))=>(~creative(X)<~>~curious(X))))&
(![X]:((generous(X)&kind(X))=>~kind(X)... | ~tall(paul) | [] | null | 0 |
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