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 |
|---|---|---|---|---|---|---|---|
If someone is patient then paul is either quiet or not rich and vice versa. If someone is kind or not creative then someone is not creative or brave. Everyone who is not kind or happy is humble or not kind and vice versa. If fred is either wise or curious then someone is not old. Everyone who is either not brave or pat... | Lucy is not brave. | contradiction | ((?[X]:(patient(X)))<=>((quiet(paul)<~>~rich(paul))))&
((?[X]:((kind(X)|~creative(X))))=>(?[X]:((~creative(X)|brave(X)))))&
(![X]:((~kind(X)|happy(X))<=>(humble(X)|~kind(X))))&
(((wise(fred)<~>curious(fred)))=>(?[X]:(~old(X))))&
(![X]:((~brave(X)<~>patient(X))=>~strong(X)))&
(![X]:((patient(X)&~patient(X))<=>humble(X))... | ~brave(lucy) | [
"p5",
"p8",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3348415856366634651186094
% SZS output start Proof for 3348415856366634651186094
6. ! [X0] : ((~patient(X0) & patient(X0)) <=> humble(X0)) [input p5]
9. ! [X0] : ((~old(X0) <~> ~creative(X0)) => (~generous(X0) & brave(X0))) [input p8]
16. ! [X0] : ((~creative(X0) <~> old(X0)) <=> (~humble... | 0 |
If susan is either kind or not creative then someone is either wise or not curious.
If someone is humble then someone is both not quiet and patient.
If paul is not kind then someone is both rich and quiet.
If someone is not patient or not old then susan is both not brave and tall.
Everyone who is both not happy and wis... | Fred is old. | entailment | (((kind(susan)<~>~creative(susan)))=>(?[X]:((wise(X)<~>~curious(X)))))&
((?[X]:(humble(X)))=>(?[X]:((~quiet(X)&patient(X)))))&
((~kind(paul))=>(?[X]:((rich(X)&quiet(X)))))&
((?[X]:((~patient(X)|~old(X))))=>((~brave(susan)&tall(susan))))&
(![X]:((~happy(X)&wise(X))<=>(~creative(X)&tall(X))))&
(((~creative(alice)<~>patie... | old(fred) | [
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6704957453999688828337334
% SZS output start Proof for 6704957453999688828337334
11. ! [X0] : ((humble(X0) & wise(X0)) <=> ~old(X0)) [input p10]
12. ! [X0] : ((wise(X0) <~> ~quiet(X0)) => ~quiet(X0)) [input p11]
22. quiet(fred) [input p21]
25. ~old(fred) [input hypothesis]
38. ! [X0] : (~... | 0 |
Everyone who is either humble or not generous is both generous and patient and vice versa.
If someone is not brave or old then mary is strong.
If fred is not creative then john is both old and curious.
Everyone who is not strong is not brave and vice versa.
Everyone who is not brave is either strong or generous and vic... | Mary is humble. | contradiction | (![X]:((humble(X)<~>~generous(X))<=>(generous(X)&patient(X))))&
((?[X]:((~brave(X)|old(X))))=>(strong(mary)))&
((~creative(fred))=>((old(john)&curious(john))))&
(![X]:(~strong(X)<=>~brave(X)))&
(![X]:(~brave(X)<=>(strong(X)<~>generous(X))))&
(((patient(mary)&kind(mary)))=>((curious(mary)&~wise(mary))))&
(![X]:(calm(X)<... | humble(mary) | [
"p0",
"p1",
"p3",
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2638116728632139028287058
% SZS output start Proof for 2638116728632139028287058
1. ! [X0] : ((humble(X0) <~> ~generous(X0)) <=> (patient(X0) & generous(X0))) [input p0]
2. ? [X0] : (old(X0) | ~brave(X0)) => strong(mary) [input p1]
4. ! [X0] : (~strong(X0) <=> ~brave(X0)) [input p3]
5. ! ... | 0 |
If someone is happy then someone is either not funny or not tall. Everyone who is rich is curious or calm and vice versa. Everyone who is either funny or not kind is creative or strong and vice versa. Everyone who is funny is humble. Everyone who is either curious or patient is both not old and rich and vice versa. Eve... | Paul is not rich. | contradiction | ((?[X]:(happy(X)))=>(?[X]:((~funny(X)<~>~tall(X)))))&
(![X]:(rich(X)<=>(curious(X)|calm(X))))&
(![X]:((funny(X)<~>~kind(X))<=>(creative(X)|strong(X))))&
(![X]:(funny(X)=>humble(X)))&
(![X]:((curious(X)<~>patient(X))<=>(~old(X)&rich(X))))&
(![X]:(strong(X)<=>calm(X)))&
(![X]:(patient(X)<=>(quiet(X)|humble(X))))&
(((tall... | ~rich(paul) | [
"p1",
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1779084265395910122948129
% SZS output start Proof for 1779084265395910122948129
2. ! [X0] : (rich(X0) <=> (calm(X0) | curious(X0))) [input p1]
5. ! [X0] : ((curious(X0) <~> patient(X0)) <=> (rich(X0) & ~old(X0))) [input p4]
7. ! [X0] : (patient(X0) <=> (humble(X0) | quiet(X0))) [input p6... | 0 |
Everyone who is both not generous and creative is either not patient or not generous and vice versa.
If mary is either patient or strong then alice is either strong or not generous.
Everyone who is both not brave and not creative is not happy and vice versa.
Everyone who is both not brave and not rich is both tall and ... | Susan is not tall. | entailment | (![X]:((~generous(X)&creative(X))<=>(~patient(X)<~>~generous(X))))&
(((patient(mary)<~>strong(mary)))=>((strong(alice)<~>~generous(alice))))&
(![X]:((~brave(X)&~creative(X))<=>~happy(X)))&
(![X]:((~brave(X)&~rich(X))=>(tall(X)&rich(X))))&
((?[X]:(happy(X)))=>(?[X]:((humble(X)<~>patient(X)))))&
((calm(susan))<=>(?[X]:(c... | ~tall(susan) | [
"p2",
"p3",
"p5",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 246575186678262896920007
% SZS output start Proof for 246575186678262896920007
3. ! [X0] : ((~creative(X0) & ~brave(X0)) <=> ~happy(X0)) [input p2]
4. ! [X0] : ((~rich(X0) & ~brave(X0)) => (rich(X0) & tall(X0))) [input p3]
6. calm(susan) <=> ? [X0] : curious(X0) [input p5]
9. curious(paul... | 0 |
If alice is either not kind or not wise then someone is either brave or not quiet and vice versa.
If someone is both not quiet and happy then lucy is both not happy and brave and vice versa.
Everyone who is not calm or not funny is both not humble and brave and vice versa.
If someone is both rich and brave then mary is... | Lucy is not brave. | contradiction | (((~kind(alice)<~>~wise(alice)))<=>(?[X]:((brave(X)<~>~quiet(X)))))&
((?[X]:((~quiet(X)&happy(X))))<=>((~happy(lucy)&brave(lucy))))&
(![X]:((~calm(X)|~funny(X))<=>(~humble(X)&brave(X))))&
((?[X]:((rich(X)&brave(X))))<=>(~patient(mary)))&
(![X]:(calm(X)<=>(~happy(X)&brave(X))))&
(((strong(susan)&humble(susan)))=>(?[X]:(... | ~brave(lucy) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 109297712841731738378912
% SZS output start Proof for 109297712841731738378912
3. ! [X0] : ((~funny(X0) | ~calm(X0)) <=> (brave(X0) & ~humble(X0))) [input p2]
5. ! [X0] : (calm(X0) <=> (brave(X0) & ~happy(X0))) [input p4]
25. ~brave(lucy) [input hypothesis]
44. ! [X0] : (((~funny(X0) | ~c... | 0 |
Everyone who is both kind and generous is either not tall or not curious.
Everyone who is not calm is either not funny or patient.
If someone is either not strong or old then someone is either patient or not curious and vice versa.
If someone is not curious or humble then john is either not tall or not humble.
If lucy ... | John is not rich. | neutral | (![X]:((kind(X)&generous(X))=>(~tall(X)<~>~curious(X))))&
(![X]:(~calm(X)=>(~funny(X)<~>patient(X))))&
((?[X]:((~strong(X)<~>old(X))))<=>(?[X]:((patient(X)<~>~curious(X)))))&
((?[X]:((~curious(X)|humble(X))))=>((~tall(john)<~>~humble(john))))&
(((humble(lucy)&~brave(lucy)))=>((~rich(susan)|~curious(susan))))&
(![X]:(~s... | ~rich(john) | [] | null | 0 |
Everyone who is both not generous and rich is either not curious or not funny and vice versa.
If someone is kind then someone is curious.
Everyone who is generous is both generous and not wise and vice versa.
If someone is both not creative and not curious then someone is either curious or not rich.
Everyone who is pat... | Fred is wise. | contradiction | (![X]:((~generous(X)&rich(X))<=>(~curious(X)<~>~funny(X))))&
((?[X]:(kind(X)))=>(?[X]:(curious(X))))&
(![X]:(generous(X)<=>(generous(X)&~wise(X))))&
((?[X]:((~creative(X)&~curious(X))))=>(?[X]:((curious(X)<~>~rich(X)))))&
(![X]:((patient(X)|tall(X))<=>(~generous(X)&~old(X))))&
(![X]:((brave(X)<~>~patient(X))<=>(wise(X)... | wise(fred) | [
"p2",
"p4",
"p6",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6954762973045624808621209
% SZS output start Proof for 6954762973045624808621209
3. ! [X0] : (generous(X0) <=> (~wise(X0) & generous(X0))) [input p2]
5. ! [X0] : ((tall(X0) | patient(X0)) <=> (~old(X0) & ~generous(X0))) [input p4]
7. ! [X0] : (wise(X0) => ~patient(X0)) [input p6]
9. ! [X0... | 0 |
If someone is not wise or curious then someone is not rich or humble and vice versa.
Everyone who is either not rich or old is not rich and vice versa.
If fred is calm then alice is happy and vice versa.
If someone is both not strong and quiet then lucy is either not tall or not creative and vice versa.
If alice is not... | Alice is not generous. | neutral | ((?[X]:((~wise(X)|curious(X))))<=>(?[X]:((~rich(X)|humble(X)))))&
(![X]:((~rich(X)<~>old(X))<=>~rich(X)))&
((calm(fred))<=>(happy(alice)))&
((?[X]:((~strong(X)&quiet(X))))<=>((~tall(lucy)<~>~creative(lucy))))&
(((~generous(alice)|~curious(alice)))<=>(~curious(mary)))&
(((~curious(paul)|~kind(paul)))=>((tall(alice)|calm... | ~generous(alice) | [] | null | 0 |
If someone is either not patient or not happy then fred is not rich or not patient and vice versa.
Everyone who is not brave is both not quiet and not rich and vice versa.
Everyone who is both not tall and quiet is both not wise and not humble.
If someone is not brave then someone is either calm or humble.
Everyone who... | Fred is curious. | contradiction | ((?[X]:((~patient(X)<~>~happy(X))))<=>((~rich(fred)|~patient(fred))))&
(![X]:(~brave(X)<=>(~quiet(X)&~rich(X))))&
(![X]:((~tall(X)&quiet(X))=>(~wise(X)&~humble(X))))&
((?[X]:(~brave(X)))=>(?[X]:((calm(X)<~>humble(X)))))&
(![X]:((~curious(X)|~creative(X))<=>(calm(X)|rich(X))))&
(((brave(mary)|generous(mary)))=>(?[X]:(ri... | curious(fred) | [
"p4",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6278358143799585839230896
% SZS output start Proof for 6278358143799585839230896
5. ! [X0] : ((~creative(X0) | ~curious(X0)) <=> (rich(X0) | calm(X0))) [input p4]
7. ? [X0] : (creative(X0) | calm(X0)) <=> ? [X0] : (~rich(X0) & rich(X0)) [input p6]
12. ? [X0] : (~rich(X0) & humble(X0)) <=>... | 0 |
Everyone who is not patient or calm is either humble or creative and vice versa. Everyone who is both funny and not calm is happy. Everyone who is either strong or humble is funny or curious and vice versa. If someone is either not tall or funny then paul is not creative. Everyone who is both brave and humble is either... | Paul is kind. | contradiction | (![X]:((~patient(X)|calm(X))<=>(humble(X)<~>creative(X))))&
(![X]:((funny(X)&~calm(X))=>happy(X)))&
(![X]:((strong(X)<~>humble(X))<=>(funny(X)|curious(X))))&
((?[X]:((~tall(X)<~>funny(X))))=>(~creative(paul)))&
(![X]:((brave(X)&humble(X))=>(~calm(X)<~>quiet(X))))&
(((creative(alice)<~>quiet(alice)))=>(?[X]:((~curious(X... | kind(paul) | [
"p0",
"p1",
"p3",
"p6",
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5668448790582584195687764
% SZS output start Proof for 5668448790582584195687764
1. ! [X0] : ((calm(X0) | ~patient(X0)) <=> (humble(X0) <~> creative(X0))) [input p0]
2. ! [X0] : ((~calm(X0) & funny(X0)) => happy(X0)) [input p1]
4. ? [X0] : (~tall(X0) <~> funny(X0)) => ~creative(paul) [inp... | 0 |
If john is either happy or not quiet then john is both humble and not happy and vice versa. If susan is both old and not kind then fred is generous. If paul is generous then fred is both not quiet and not wise. If susan is humble or strong then mary is either rich or old and vice versa. If someone is patient or generou... | Susan is funny. | contradiction | (((happy(john)<~>~quiet(john)))<=>((humble(john)&~happy(john))))&
(((old(susan)&~kind(susan)))=>(generous(fred)))&
((generous(paul))=>((~quiet(fred)&~wise(fred))))&
(((humble(susan)|strong(susan)))<=>((rich(mary)<~>old(mary))))&
((?[X]:((patient(X)|generous(X))))<=>((~creative(mary)<~>curious(mary))))&
(![X]:((calm(X)&... | funny(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 16879957139128266637631
% SZS output start Proof for 16879957139128266637631
13. ! [X0] : ((happy(X0) & ~funny(X0)) <=> funny(X0)) [input p12]
21. funny(susan) [input hypothesis]
60. ! [X0] : (((happy(X0) & ~funny(X0)) | ~funny(X0)) & (funny(X0) | (~happy(X0) | funny(X0)))) [nnf transform... | 0 |
If alice is not brave then alice is both happy and rich and vice versa. If fred is not old or funny then lucy is both not generous and not curious and vice versa. Everyone who is both not kind and not creative is happy or tall. If someone is either humble or kind then someone is not humble. Everyone who is both not pat... | John is not patient. | neutral | ((~brave(alice))<=>((happy(alice)&rich(alice))))&
(((~old(fred)|funny(fred)))<=>((~generous(lucy)&~curious(lucy))))&
(![X]:((~kind(X)&~creative(X))=>(happy(X)|tall(X))))&
((?[X]:((humble(X)<~>kind(X))))=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)&curious(X))<=>funny(X)))&
(![X]:(tall(X)<=>(~rich(X)&~quiet(X))))&
(![X]:(... | ~patient(john) | [] | null | 0 |
Everyone who is either strong or not funny is not strong or brave and vice versa.
If paul is not kind or funny then alice is not old.
Everyone who is either not tall or old is either not wise or not creative and vice versa.
Everyone who is not old is both old and not creative and vice versa.
Everyone who is not wise is... | Mary is humble. | contradiction | (![X]:((strong(X)<~>~funny(X))<=>(~strong(X)|brave(X))))&
(((~kind(paul)|funny(paul)))=>(~old(alice)))&
(![X]:((~tall(X)<~>old(X))<=>(~wise(X)<~>~creative(X))))&
(![X]:(~old(X)<=>(old(X)&~creative(X))))&
(![X]:(~wise(X)<=>(~humble(X)&patient(X))))&
((?[X]:((~rich(X)|~happy(X))))=>((kind(mary)|generous(mary))))&
(![X]:(... | humble(mary) | [
"p2",
"p3",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3823609931694074467948575
% SZS output start Proof for 3823609931694074467948575
3. ! [X0] : ((~tall(X0) <~> old(X0)) <=> (~wise(X0) <~> ~creative(X0))) [input p2]
4. ! [X0] : (~old(X0) <=> (~creative(X0) & old(X0))) [input p3]
5. ! [X0] : (~wise(X0) <=> (patient(X0) & ~humble(X0))) [inpu... | 0 |
Everyone who is either not curious or brave is both not quiet and patient.
Everyone who is both patient and not humble is not creative.
Everyone who is either creative or calm is both old and not strong and vice versa.
If someone is brave then someone is both not old and curious.
Everyone who is both patient and funny ... | Susan is old. | entailment | (![X]:((~curious(X)<~>brave(X))=>(~quiet(X)&patient(X))))&
(![X]:((patient(X)&~humble(X))=>~creative(X)))&
(![X]:((creative(X)<~>calm(X))<=>(old(X)&~strong(X))))&
((?[X]:(brave(X)))=>(?[X]:((~old(X)&curious(X)))))&
(![X]:((patient(X)&funny(X))<=>(quiet(X)&humble(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>wise(X)))&
((~gene... | old(susan) | [
"p0",
"p7",
"p9",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3584279842938103216111374
% SZS output start Proof for 3584279842938103216111374
1. ! [X0] : ((~curious(X0) <~> brave(X0)) => (patient(X0) & ~quiet(X0))) [input p0]
8. ! [X0] : (~brave(X0) => (happy(X0) & ~curious(X0))) [input p7]
10. ! [X0] : ((~humble(X0) & ~strong(X0)) <=> (quiet(X0) |... | 0 |
Everyone who is both quiet and not creative is strong. If someone is old then someone is not generous or calm. Everyone who is not humble or not funny is humble or creative and vice versa. If someone is either not creative or tall then susan is patient. If susan is either patient or not tall then someone is curious and... | Mary is calm. | entailment | (![X]:((quiet(X)&~creative(X))=>strong(X)))&
((?[X]:(old(X)))=>(?[X]:((~generous(X)|calm(X)))))&
(![X]:((~humble(X)|~funny(X))<=>(humble(X)|creative(X))))&
((?[X]:((~creative(X)<~>tall(X))))=>(patient(susan)))&
(((patient(susan)<~>~tall(susan)))<=>(?[X]:(curious(X))))&
(![X]:((tall(X)<~>patient(X))<=>(~brave(X)<~>old(X... | calm(mary) | [
"p9",
"p10",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2505146268272843784762940
% SZS output start Proof for 2505146268272843784762940
10. ! [X0] : (~happy(X0) <=> ~calm(X0)) [input p9]
11. ! [X0] : ((~patient(X0) <~> brave(X0)) => (happy(X0) | calm(X0))) [input p10]
12. ! [X0] : ((curious(X0) & ~strong(X0)) <=> ~brave(X0)) [input p11]
24. s... | 0 |
If susan is both not quiet and not old then mary is either not tall or strong and vice versa.
If mary is either kind or creative then someone is either quiet or creative and vice versa.
Everyone who is curious is both patient and creative and vice versa.
Everyone who is quiet or happy is either not kind or not patient ... | Paul is calm. | contradiction | (((~quiet(susan)&~old(susan)))<=>((~tall(mary)<~>strong(mary))))&
(((kind(mary)<~>creative(mary)))<=>(?[X]:((quiet(X)<~>creative(X)))))&
(![X]:(curious(X)<=>(patient(X)&creative(X))))&
(![X]:((quiet(X)|happy(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((curious(X)&~creative(X))<=>(~rich(X)<~>~tall(X))))&
(![X]:(quiet(X)=>~... | calm(paul) | [
"p3",
"p5",
"p6",
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5849049698140955798590767
% SZS output start Proof for 5849049698140955798590767
4. ! [X0] : ((happy(X0) | quiet(X0)) <=> (~kind(X0) <~> ~patient(X0))) [input p3]
6. ! [X0] : (quiet(X0) => ~wise(X0)) [input p5]
7. ! [X0] : ((happy(X0) & ~tall(X0)) => (old(X0) | quiet(X0))) [input p6]
12. ... | 0 |
Everyone who is brave is not tall and vice versa. Everyone who is generous is both not calm and kind. If alice is not wise or not kind then someone is both strong and not kind. Everyone who is either tall or funny is both funny and not generous and vice versa. If lucy is both wise and not curious then lucy is not funny... | Lucy is generous. | contradiction | (![X]:(brave(X)<=>~tall(X)))&
(![X]:(generous(X)=>(~calm(X)&kind(X))))&
(((~wise(alice)|~kind(alice)))=>(?[X]:((strong(X)&~kind(X)))))&
(![X]:((tall(X)<~>funny(X))<=>(funny(X)&~generous(X))))&
(((wise(lucy)&~curious(lucy)))=>(~funny(lucy)))&
(![X]:((~kind(X)|~patient(X))=>(~calm(X)<~>happy(X))))&
(![X]:(~tall(X)=>(calm... | generous(lucy) | [
"p1",
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3757596322221751806612987
% SZS output start Proof for 3757596322221751806612987
2. ! [X0] : (generous(X0) => (kind(X0) & ~calm(X0))) [input p1]
4. ! [X0] : ((tall(X0) <~> funny(X0)) <=> (~generous(X0) & funny(X0))) [input p3]
7. ! [X0] : (~tall(X0) => (wise(X0) & calm(X0))) [input p6]
14... | 0 |
Everyone who is not happy is either curious or humble. Everyone who is either funny or strong is creative and vice versa. If alice is either not wise or not calm then alice is kind or not kind and vice versa. Everyone who is creative or not brave is not tall or humble and vice versa. If fred is funny then someone is ta... | Susan is not curious. | entailment | (![X]:(~happy(X)=>(curious(X)<~>humble(X))))&
(![X]:((funny(X)<~>strong(X))<=>creative(X)))&
(((~wise(alice)<~>~calm(alice)))<=>((kind(alice)|~kind(alice))))&
(![X]:((creative(X)|~brave(X))<=>(~tall(X)|humble(X))))&
((funny(fred))<=>(?[X]:(tall(X))))&
(![X]:((~strong(X)|~generous(X))=>happy(X)))&
((?[X]:(~happy(X)))<=>... | ~curious(susan) | [
"p5",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3087224718075309976824363
% SZS output start Proof for 3087224718075309976824363
6. ! [X0] : ((~generous(X0) | ~strong(X0)) => happy(X0)) [input p5]
7. ? [X0] : ~happy(X0) <=> ? [X0] : (~curious(X0) <~> happy(X0)) [input p6]
11. ! [X0] : (~happy(X0) <=> ~strong(X0)) [input p10]
24. curiou... | 0 |
Everyone who is either tall or not humble is either creative or not happy and vice versa. Everyone who is either happy or not kind is brave. If paul is old then someone is either humble or kind. If someone is both not brave and not creative then mary is either patient or happy. If fred is strong then paul is both not r... | Paul is patient. | neutral | (![X]:((tall(X)<~>~humble(X))<=>(creative(X)<~>~happy(X))))&
(![X]:((happy(X)<~>~kind(X))=>brave(X)))&
((old(paul))=>(?[X]:((humble(X)<~>kind(X)))))&
((?[X]:((~brave(X)&~creative(X))))=>((patient(mary)<~>happy(mary))))&
((strong(fred))=>((~rich(paul)&~wise(paul))))&
(![X]:((tall(X)|old(X))<=>funny(X)))&
(![X]:((calm(X)... | patient(paul) | [] | null | 0 |
Everyone who is not calm or not wise is both not brave and tall and vice versa. If someone is both not humble and not old then someone is not brave and vice versa. If someone is not happy or funny then paul is both not generous and patient and vice versa. Everyone who is not calm or not quiet is both calm and curious a... | Lucy is not curious. | contradiction | (![X]:((~calm(X)|~wise(X))<=>(~brave(X)&tall(X))))&
((?[X]:((~humble(X)&~old(X))))<=>(?[X]:(~brave(X))))&
((?[X]:((~happy(X)|funny(X))))<=>((~generous(paul)&patient(paul))))&
(![X]:((~calm(X)|~quiet(X))<=>(calm(X)&curious(X))))&
(((quiet(paul)<~>generous(paul)))<=>(?[X]:((wise(X)&~old(X)))))&
(![X]:((~funny(X)<~>genero... | ~curious(lucy) | [
"p3",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 222177150682374010640667
% SZS output start Proof for 222177150682374010640667
4. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> (curious(X0) & calm(X0))) [input p3]
22. ~calm(lucy) | curious(lucy) [input p21]
25. ~curious(lucy) [input hypothesis]
52. ! [X0] : (((~quiet(X0) | ~calm(X0)) | (~curio... | 0 |
Everyone who is either kind or generous is quiet or not humble and vice versa.
Everyone who is patient or not tall is both not funny and calm and vice versa.
If someone is either kind or creative then someone is kind and vice versa.
If someone is quiet then mary is either quiet or not wise and vice versa.
Everyone who ... | Mary is not humble. | contradiction | (![X]:((kind(X)<~>generous(X))<=>(quiet(X)|~humble(X))))&
(![X]:((patient(X)|~tall(X))<=>(~funny(X)&calm(X))))&
((?[X]:((kind(X)<~>creative(X))))<=>(?[X]:(kind(X))))&
((?[X]:(quiet(X)))<=>((quiet(mary)<~>~wise(mary))))&
(![X]:((funny(X)&brave(X))=>(quiet(X)&rich(X))))&
(![X]:((old(X)<~>~old(X))=>humble(X)))&
(![X]:((~g... | ~humble(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7734990379145514624309847
% SZS output start Proof for 7734990379145514624309847
6. ! [X0] : ((old(X0) <~> ~old(X0)) => humble(X0)) [input p5]
25. ~humble(mary) [input hypothesis]
33. ! [X0] : (humble(X0) | (old(X0) <=> ~old(X0))) [ennf transformation 6]
54. ! [X0] : (humble(X0) | ((old(X... | 0 |
Everyone who is funny or humble is humble and vice versa.
Everyone who is not creative or humble is both not rich and tall.
If someone is both not kind and funny then someone is not wise and vice versa.
Everyone who is tall is either funny or quiet.
Everyone who is either old or not tall is funny or old and vice versa.... | Mary is not quiet. | contradiction | (![X]:((funny(X)|humble(X))<=>humble(X)))&
(![X]:((~creative(X)|humble(X))=>(~rich(X)&tall(X))))&
((?[X]:((~kind(X)&funny(X))))<=>(?[X]:(~wise(X))))&
(![X]:(tall(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creativ... | ~quiet(mary) | [
"p0",
"p1",
"p3",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2036681052828375748992027
% SZS output start Proof for 2036681052828375748992027
1. ! [X0] : ((humble(X0) | funny(X0)) <=> humble(X0)) [input p0]
2. ! [X0] : ((humble(X0) | ~creative(X0)) => (tall(X0) & ~rich(X0))) [input p1]
4. ! [X0] : (tall(X0) => (funny(X0) <~> quiet(X0))) [input p3]
... | 0 |
Everyone who is either brave or kind is creative.
Everyone who is kind or funny is both humble and rich and vice versa.
If someone is happy then someone is either kind or creative.
Everyone who is either creative or tall is either creative or old and vice versa.
If alice is wise then mary is both not quiet and not rich... | Mary is old. | entailment | (![X]:((brave(X)<~>kind(X))=>creative(X)))&
(![X]:((kind(X)|funny(X))<=>(humble(X)&rich(X))))&
((?[X]:(happy(X)))=>(?[X]:((kind(X)<~>creative(X)))))&
(![X]:((creative(X)<~>tall(X))<=>(creative(X)<~>old(X))))&
((wise(alice))=>((~quiet(mary)&~rich(mary))))&
((?[X]:((brave(X)|happy(X))))=>((funny(fred)&tall(fred))))&
(![X... | old(mary) | [
"p1",
"p3",
"p5",
"p6",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3538760766126044936247425
% SZS output start Proof for 3538760766126044936247425
2. ! [X0] : ((funny(X0) | kind(X0)) <=> (rich(X0) & humble(X0))) [input p1]
4. ! [X0] : ((creative(X0) <~> tall(X0)) <=> (creative(X0) <~> old(X0))) [input p3]
6. ? [X0] : (happy(X0) | brave(X0)) => (tall(fre... | 0 |
Everyone who is both not rich and not generous is both not kind and wise and vice versa. If someone is happy then paul is both happy and not patient. If someone is both not patient and not curious then lucy is both not brave and quiet and vice versa. Everyone who is either wise or brave is not humble or brave and vice ... | Paul is not humble. | contradiction | (![X]:((~rich(X)&~generous(X))<=>(~kind(X)&wise(X))))&
((?[X]:(happy(X)))=>((happy(paul)&~patient(paul))))&
((?[X]:((~patient(X)&~curious(X))))<=>((~brave(lucy)&quiet(lucy))))&
(![X]:((wise(X)<~>brave(X))<=>(~humble(X)|brave(X))))&
(![X]:((curious(X)&humble(X))=>(~happy(X)&brave(X))))&
(![X]:((~humble(X)&~happy(X))<=>~... | ~humble(paul) | [
"p1",
"p2",
"p3",
"p5",
"p10",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5763435867005996874884839
% SZS output start Proof for 5763435867005996874884839
2. ? [X0] : happy(X0) => (~patient(paul) & happy(paul)) [input p1]
3. ? [X0] : (~curious(X0) & ~patient(X0)) <=> (quiet(lucy) & ~brave(lucy)) [input p2]
4. ! [X0] : ((wise(X0) <~> brave(X0)) <=> (brave(X0) | ... | 0 |
If someone is patient then lucy is either happy or tall and vice versa.
Everyone who is not kind is rich or wise.
Everyone who is funny is not old or not happy and vice versa.
Everyone who is both calm and not strong is creative or not humble.
Everyone who is curious or not happy is strong or not brave and vice versa.
... | Lucy is not creative. | entailment | ((?[X]:(patient(X)))<=>((happy(lucy)<~>tall(lucy))))&
(![X]:(~kind(X)=>(rich(X)|wise(X))))&
(![X]:(funny(X)<=>(~old(X)|~happy(X))))&
(![X]:((calm(X)&~strong(X))=>(creative(X)|~humble(X))))&
(![X]:((curious(X)|~happy(X))<=>(strong(X)|~brave(X))))&
(![X]:((~wise(X)&~old(X))<=>(old(X)<~>patient(X))))&
(![X]:((~calm(X)|old... | ~creative(lucy) | [
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8491884483372976519732675
% SZS output start Proof for 8491884483372976519732675
9. ! [X0] : (~quiet(X0) <=> (~happy(X0) <~> quiet(X0))) [input p8]
12. ? [X0] : (creative(X0) | ~quiet(X0)) <=> (~curious(paul) & kind(paul)) [input p11]
15. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> (humble(... | 0 |
If alice is old then lucy is kind and vice versa. If someone is not calm or not happy then someone is either strong or not old and vice versa. If someone 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 happ... | Lucy is not happy. | entailment | ((old(alice))<=>(kind(lucy)))&
((?[X]:((~calm(X)|~happy(X))))<=>(?[X]:((strong(X)<~>~old(X)))))&
((?[X]:(~brave(X)))<=>(?[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(... | ~happy(lucy) | [
"p4",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2514155526007594537932521
% SZS output start Proof for 2514155526007594537932521
5. ! [X0] : (~rich(X0) <=> (happy(X0) | ~rich(X0))) [input p4]
6. ! [X0] : (~generous(X0) <=> (curious(X0) <~> ~curious(X0))) [input p5]
10. ! [X0] : ((~tall(X0) | ~happy(X0)) <=> (wise(X0) | ~wise(X0))) [inp... | 0 |
If someone is tall or not funny then fred is both not brave and calm and vice versa.
If john is not happy or not curious then someone is not brave or funny and vice versa.
If lucy is either calm or happy then mary is either not creative or not tall and vice versa.
If alice is either not calm or not humble then someone ... | Mary is not brave. | entailment | ((?[X]:((tall(X)|~funny(X))))<=>((~brave(fred)&calm(fred))))&
(((~happy(john)|~curious(john)))<=>(?[X]:((~brave(X)|funny(X)))))&
(((calm(lucy)<~>happy(lucy)))<=>((~creative(mary)<~>~tall(mary))))&
(((~calm(alice)<~>~humble(alice)))=>(?[X]:((rich(X)<~>brave(X)))))&
(![X]:((~quiet(X)<~>brave(X))<=>(~quiet(X)|creative(X))... | ~brave(mary) | [
"p0",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7805287666606809379908837
% SZS output start Proof for 7805287666606809379908837
1. ? [X0] : (~funny(X0) | tall(X0)) <=> (calm(fred) & ~brave(fred)) [input p0]
7. ! [X0] : ((~patient(X0) | calm(X0)) <=> (~happy(X0) & rich(X0))) [input p6]
9. ! [X0] : ((rich(X0) | ~rich(X0)) <=> (~tall(X0)... | 0 |
If someone is calm or old then alice is either patient or brave and vice versa.
Everyone who is creative is either not tall or old.
Everyone who is both kind and not funny is not kind or strong and vice versa.
Everyone who is wise or not strong is both creative and not quiet and vice versa.
If susan is both not wise an... | Fred is not happy. | neutral | ((?[X]:((calm(X)|old(X))))<=>((patient(alice)<~>brave(alice))))&
(![X]:(creative(X)=>(~tall(X)<~>old(X))))&
(![X]:((kind(X)&~funny(X))<=>(~kind(X)|strong(X))))&
(![X]:((wise(X)|~strong(X))<=>(creative(X)&~quiet(X))))&
(((~wise(susan)&wise(susan)))<=>(?[X]:((~rich(X)&~generous(X)))))&
(![X]:(strong(X)=>(~old(X)|rich(X))... | ~happy(fred) | [] | null | 0 |
If lucy is both humble and funny then someone is both not creative and not kind.
If john is quiet then paul is creative and vice versa.
If paul is old or rich then someone is not brave or happy.
Everyone who is rich or not curious is both kind and calm and vice versa.
Everyone who is not funny or curious is strong and ... | John is wise. | contradiction | (((humble(lucy)&funny(lucy)))=>(?[X]:((~creative(X)&~kind(X)))))&
((quiet(john))<=>(creative(paul)))&
(((old(paul)|rich(paul)))=>(?[X]:((~brave(X)|happy(X)))))&
(![X]:((rich(X)|~curious(X))<=>(kind(X)&calm(X))))&
(![X]:((~funny(X)|curious(X))<=>strong(X)))&
(((generous(alice)<~>~happy(alice)))=>(rich(lucy)))&
((?[X]:((... | wise(john) | [
"p3",
"p4",
"p6",
"p9",
"p13",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7625885664226295440925132
% SZS output start Proof for 7625885664226295440925132
4. ! [X0] : ((~curious(X0) | rich(X0)) <=> (calm(X0) & kind(X0))) [input p3]
5. ! [X0] : ((curious(X0) | ~funny(X0)) <=> strong(X0)) [input p4]
7. ? [X0] : (~funny(X0) | ~rich(X0)) <=> (~kind(john) & happy(jo... | 0 |
Everyone who is either wise or not brave is kind or old and vice versa.
Everyone who is generous or not generous is both not curious and funny.
Everyone who is curious is humble or not tall and vice versa.
If mary is not strong or not funny then susan is either not kind or not brave and vice versa.
Everyone who is both... | Paul is tall. | entailment | (![X]:((wise(X)<~>~brave(X))<=>(kind(X)|old(X))))&
(![X]:((generous(X)|~generous(X))=>(~curious(X)&funny(X))))&
(![X]:(curious(X)<=>(humble(X)|~tall(X))))&
(((~strong(mary)|~funny(mary)))<=>((~kind(susan)<~>~brave(susan))))&
(![X]:((~old(X)&old(X))<=>~old(X)))&
(![X]:((quiet(X)&generous(X))=>humble(X)))&
(![X]:((~kind(... | tall(paul) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5933703756302311322154130
% SZS output start Proof for 5933703756302311322154130
2. ! [X0] : ((~generous(X0) | generous(X0)) => (funny(X0) & ~curious(X0))) [input p1]
3. ! [X0] : (curious(X0) <=> (~tall(X0) | humble(X0))) [input p2]
20. ~tall(paul) [input hypothesis]
22. ! [X0] : ((~tall(... | 0 |
Everyone who is both wise and not curious is either not humble or not creative and vice versa. Everyone who is not strong or not wise is curious or not funny and vice versa. If someone is either happy or creative then someone is rich or strong and vice versa. Everyone who is strong or patient is not humble. Everyone wh... | Susan is not tall. | entailment | (![X]:((wise(X)&~curious(X))<=>(~humble(X)<~>~creative(X))))&
(![X]:((~strong(X)|~wise(X))<=>(curious(X)|~funny(X))))&
((?[X]:((happy(X)<~>creative(X))))<=>(?[X]:((rich(X)|strong(X)))))&
(![X]:((strong(X)|patient(X))=>~humble(X)))&
(![X]:((patient(X)|~old(X))=>(creative(X)|curious(X))))&
((?[X]:((funny(X)|strong(X))))=... | ~tall(susan) | [
"p0",
"p7",
"p8",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7637110977302860022113678
% SZS output start Proof for 7637110977302860022113678
1. ! [X0] : ((~curious(X0) & wise(X0)) <=> (~humble(X0) <~> ~creative(X0))) [input p0]
8. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> (rich(X0) & ~generous(X0))) [input p7]
9. ! [X0] : ((~curious(X0) | ~kind(X0... | 0 |
Everyone who is rich is both not creative and happy.
Everyone who is not humble or rich is brave or not calm and vice versa.
If someone is both brave and not creative then someone is not patient.
Everyone who is both not kind and humble is generous or not strong and vice versa.
If susan is both not kind and calm then s... | John is not happy. | contradiction | (![X]:(rich(X)=>(~creative(X)&happy(X))))&
(![X]:((~humble(X)|rich(X))<=>(brave(X)|~calm(X))))&
((?[X]:((brave(X)&~creative(X))))=>(?[X]:(~patient(X))))&
(![X]:((~kind(X)&humble(X))<=>(generous(X)|~strong(X))))&
(((~kind(susan)&calm(susan)))<=>(?[X]:((wise(X)<~>~happy(X)))))&
((?[X]:((~generous(X)|~rich(X))))<=>(~funny... | ~happy(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5639699848547818374574118
% SZS output start Proof for 5639699848547818374574118
14. ! [X0] : ((generous(X0) | ~happy(X0)) <=> happy(X0)) [input p13]
21. ~happy(john) [input hypothesis]
61. ! [X0] : (((generous(X0) | ~happy(X0)) | ~happy(X0)) & (happy(X0) | (~generous(X0) & happy(X0)))) [... | 0 |
Everyone who is either not rich or happy is not curious and vice versa. Everyone who is not wise or not happy is either not funny or strong and vice versa. Everyone who is not old is both not kind and strong. If someone is happy then lucy is either kind or not creative and vice versa. Everyone who is either not brave o... | Alice is not creative. | contradiction | (![X]:((~rich(X)<~>happy(X))<=>~curious(X)))&
(![X]:((~wise(X)|~happy(X))<=>(~funny(X)<~>strong(X))))&
(![X]:(~old(X)=>(~kind(X)&strong(X))))&
((?[X]:(happy(X)))<=>((kind(lucy)<~>~creative(lucy))))&
(![X]:((~brave(X)<~>~happy(X))<=>(strong(X)|calm(X))))&
(((strong(alice)&~creative(alice)))<=>((creative(mary)&humble(mar... | ~creative(alice) | [
"p1",
"p2",
"p4",
"p11",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 63365082264814579832057
% SZS output start Proof for 63365082264814579832057
2. ! [X0] : ((~happy(X0) | ~wise(X0)) <=> (~funny(X0) <~> strong(X0))) [input p1]
3. ! [X0] : (~old(X0) => (strong(X0) & ~kind(X0))) [input p2]
5. ! [X0] : ((~brave(X0) <~> ~happy(X0)) <=> (calm(X0) | strong(X0))... | 0 |
If someone is funny or not calm then someone is quiet or not wise and vice versa.
Everyone who is not wise or curious is either not humble or old.
If someone is rich then mary is wise or not generous.
If someone is either not brave or funny then lucy is either not quiet or not brave.
Everyone who is not kind or not qui... | Paul is happy. | entailment | ((?[X]:((funny(X)|~calm(X))))<=>(?[X]:((quiet(X)|~wise(X)))))&
(![X]:((~wise(X)|curious(X))=>(~humble(X)<~>old(X))))&
((?[X]:(rich(X)))=>((wise(mary)|~generous(mary))))&
((?[X]:((~brave(X)<~>funny(X))))=>((~quiet(lucy)<~>~brave(lucy))))&
(![X]:((~kind(X)|~quiet(X))=>(happy(X)&quiet(X))))&
(![X]:((~funny(X)|~generous(X)... | happy(paul) | [
"p4",
"p5",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6680769375993078263252904
% SZS output start Proof for 6680769375993078263252904
5. ! [X0] : ((~quiet(X0) | ~kind(X0)) => (quiet(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~generous(X0) | ~funny(X0)) <=> ~kind(X0)) [input p5]
12. ! [X0] : ((wise(X0) | funny(X0)) => (wise(X0) & ~patient(X0... | 0 |
If john is not funny or not tall then someone is tall and vice versa.
If susan is either funny or not brave then paul is not calm or not creative and vice versa.
If alice is either not patient or not quiet then someone is old or not kind and vice versa.
If someone is both tall and generous then john is both brave and c... | Susan is rich. | entailment | (((~funny(john)|~tall(john)))<=>(?[X]:(tall(X))))&
(((funny(susan)<~>~brave(susan)))<=>((~calm(paul)|~creative(paul))))&
(((~patient(alice)<~>~quiet(alice)))<=>(?[X]:((old(X)|~kind(X)))))&
((?[X]:((tall(X)&generous(X))))<=>((brave(john)&calm(john))))&
((tall(paul))<=>(?[X]:((quiet(X)<~>strong(X)))))&
((?[X]:((~strong(X... | rich(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6289603417866878268798753
% SZS output start Proof for 6289603417866878268798753
7. ! [X0] : ((calm(X0) | ~rich(X0)) => rich(X0)) [input p6]
24. ~rich(susan) [input hypothesis]
29. ! [X0] : (rich(X0) | (~calm(X0) & rich(X0))) [ennf transformation 7]
118. rich(X0) | rich(X0) [cnf transform... | 0 |
Everyone who is either humble or not rich is not creative or not tall and vice versa.
Everyone who is patient or not quiet is both not kind and not rich and vice versa.
Everyone who is both humble and not strong is either creative or curious and vice versa.
Everyone who is both not creative and not tall is quiet or hap... | Lucy is not old. | neutral | (![X]:((humble(X)<~>~rich(X))<=>(~creative(X)|~tall(X))))&
(![X]:((patient(X)|~quiet(X))<=>(~kind(X)&~rich(X))))&
(![X]:((humble(X)&~strong(X))<=>(creative(X)<~>curious(X))))&
(![X]:((~creative(X)&~tall(X))<=>(quiet(X)|happy(X))))&
(((~generous(fred)|old(fred)))=>(?[X]:(happy(X))))&
(![X]:((calm(X)&~generous(X))<=>(cal... | ~old(lucy) | [] | null | 0 |
If someone is either wise or not brave then alice is both not patient and generous.
Everyone who is not patient is happy and vice versa.
Everyone who is not brave or not quiet is not generous and vice versa.
If someone is either kind or not generous then lucy is tall.
Everyone who is not old or not curious is strong.
I... | John is not quiet. | contradiction | ((?[X]:((wise(X)<~>~brave(X))))=>((~patient(alice)&generous(alice))))&
(![X]:(~patient(X)<=>happy(X)))&
(![X]:((~brave(X)|~quiet(X))<=>~generous(X)))&
((?[X]:((kind(X)<~>~generous(X))))=>(tall(lucy)))&
(![X]:((~old(X)|~curious(X))=>strong(X)))&
((?[X]:((creative(X)|~quiet(X))))<=>(~brave(john)))&
(![X]:(humble(X)<=>(~k... | ~quiet(john) | [
"p2",
"p5",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3183096771593459598446785
% SZS output start Proof for 3183096771593459598446785
3. ! [X0] : ((~quiet(X0) | ~brave(X0)) <=> ~generous(X0)) [input p2]
6. ? [X0] : (~quiet(X0) | creative(X0)) <=> ~brave(john) [input p5]
9. ? [X0] : (~rich(X0) & kind(X0)) => (kind(john) <~> ~generous(john)) ... | 0 |
If someone is not generous then paul is both not generous and calm.
If someone is either creative or quiet then mary is either wise or not tall and vice versa.
If mary is patient then someone is generous or not old.
Everyone who is both not kind and tall is either generous or not wise and vice versa.
Everyone who is ei... | Mary is funny. | entailment | ((?[X]:(~generous(X)))=>((~generous(paul)&calm(paul))))&
((?[X]:((creative(X)<~>quiet(X))))<=>((wise(mary)<~>~tall(mary))))&
((patient(mary))=>(?[X]:((generous(X)|~old(X)))))&
(![X]:((~kind(X)&tall(X))<=>(generous(X)<~>~wise(X))))&
(![X]:((brave(X)<~>tall(X))<=>(quiet(X)&~creative(X))))&
(((happy(fred)<~>~brave(fred)))... | funny(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 603934271245425499290654
% SZS output start Proof for 603934271245425499290654
22. funny(mary) [input p21]
25. ~funny(mary) [input hypothesis]
162. funny(mary) [cnf transformation 22]
167. ~funny(mary) [cnf transformation 25]
372. 44 <=> funny(mary) [avatar definition]
427. 44 [avatar spl... | 0 |
If someone is kind or happy then someone is not happy or brave and vice versa. Everyone who is both brave and not strong is curious or not funny and vice versa. If someone is strong or not old then lucy is either not old or not tall and vice versa. If someone is quiet then john is wise. Everyone who is humble is not st... | John is not brave. | contradiction | ((?[X]:((kind(X)|happy(X))))<=>(?[X]:((~happy(X)|brave(X)))))&
(![X]:((brave(X)&~strong(X))<=>(curious(X)|~funny(X))))&
((?[X]:((strong(X)|~old(X))))<=>((~old(lucy)<~>~tall(lucy))))&
((?[X]:(quiet(X)))=>(wise(john)))&
(![X]:(humble(X)<=>(~strong(X)|~patient(X))))&
(((~funny(paul)|~quiet(paul)))<=>(?[X]:((~brave(X)<~>~f... | ~brave(john) | [
"p1",
"p5",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8567305599146462825739614
% SZS output start Proof for 8567305599146462825739614
2. ! [X0] : ((~strong(X0) & brave(X0)) <=> (~funny(X0) | curious(X0))) [input p1]
6. (~quiet(paul) | ~funny(paul)) <=> ? [X0] : (~brave(X0) <~> ~funny(X0)) [input p5]
10. (patient(paul) & quiet(paul)) <=> ? [... | 0 |
Everyone who is both kind and old is both old and not kind and vice versa.
Everyone who is both quiet and patient is either not generous or happy.
Everyone who is either not patient or not curious is both curious and not generous.
Everyone who is not happy or happy is funny and vice versa.
If someone is both not creati... | Paul is not quiet. | entailment | (![X]:((kind(X)&old(X))<=>(old(X)&~kind(X))))&
(![X]:((quiet(X)&patient(X))=>(~generous(X)<~>happy(X))))&
(![X]:((~patient(X)<~>~curious(X))=>(curious(X)&~generous(X))))&
(![X]:((~happy(X)|happy(X))<=>funny(X)))&
((?[X]:((~creative(X)&~curious(X))))=>(?[X]:((~humble(X)&creative(X)))))&
(((~kind(paul)&~strong(paul)))<=>... | ~quiet(paul) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8844890114314808939793426
% SZS output start Proof for 8844890114314808939793426
4. ! [X0] : ((happy(X0) | ~happy(X0)) <=> funny(X0)) [input p3]
10. ! [X0] : ((quiet(X0) & happy(X0)) <=> (~funny(X0) | ~happy(X0))) [input p9]
24. quiet(paul) [input hypothesis]
43. ! [X0] : (((happy(X0) | ~... | 0 |
Everyone who is brave or creative is not kind and vice versa.
Everyone who is both not brave and funny is either quiet or patient and vice versa.
Everyone who is either not wise or not quiet is not generous or not curious.
Everyone who is not tall is curious and vice versa.
If fred is either tall or kind then someone i... | Susan is not kind. | contradiction | (![X]:((brave(X)|creative(X))<=>~kind(X)))&
(![X]:((~brave(X)&funny(X))<=>(quiet(X)<~>patient(X))))&
(![X]:((~wise(X)<~>~quiet(X))=>(~generous(X)|~curious(X))))&
(![X]:(~tall(X)<=>curious(X)))&
(((tall(fred)<~>kind(fred)))=>(?[X]:((~calm(X)<~>kind(X)))))&
(![X]:((~creative(X)<~>creative(X))<=>(brave(X)|funny(X))))&
(![... | ~kind(susan) | [
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2721863256682778778197783
% SZS output start Proof for 2721863256682778778197783
8. ! [X0] : (~generous(X0) <=> (~happy(X0) | ~creative(X0))) [input p7]
11. ? [X0] : ~kind(X0) <=> ? [X0] : (generous(X0) & ~creative(X0)) [input p10]
21. ~kind(susan) [input hypothesis]
22. ? [X0] : ~kind(X0... | 0 |
Everyone who is either not funny or generous is either quiet or patient.
If lucy is both not rich and generous then lucy is both not quiet and old and vice versa.
If fred is not quiet or not strong then mary is not calm and vice versa.
If mary is either not curious or not quiet then someone is both not kind and curious... | Mary is not funny. | contradiction | (![X]:((~funny(X)<~>generous(X))=>(quiet(X)<~>patient(X))))&
(((~rich(lucy)&generous(lucy)))<=>((~quiet(lucy)&old(lucy))))&
(((~quiet(fred)|~strong(fred)))<=>(~calm(mary)))&
(((~curious(mary)<~>~quiet(mary)))<=>(?[X]:((~kind(X)&curious(X)))))&
(![X]:((old(X)<~>brave(X))<=>~tall(X)))&
((?[X]:(old(X)))<=>((~happy(alice)&... | ~funny(mary) | [
"p4",
"p5",
"p6",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4612464125335258560158128
% SZS output start Proof for 4612464125335258560158128
5. ! [X0] : ((old(X0) <~> brave(X0)) <=> ~tall(X0)) [input p4]
6. ? [X0] : old(X0) <=> (brave(alice) & ~happy(alice)) [input p5]
7. ! [X0] : ((~generous(X0) | humble(X0)) <=> (quiet(X0) <~> tall(X0))) [input ... | 0 |
Everyone who is not creative or not wise is both curious and quiet and vice versa. Everyone who is both not brave and not generous is not rich or creative. Everyone who is either not kind or not funny is curious or wise and vice versa. Everyone who is both not old and not tall is not calm. If mary is generous or not ge... | Lucy is not funny. | contradiction | (![X]:((~creative(X)|~wise(X))<=>(curious(X)&quiet(X))))&
(![X]:((~brave(X)&~generous(X))=>(~rich(X)|creative(X))))&
(![X]:((~kind(X)<~>~funny(X))<=>(curious(X)|wise(X))))&
(![X]:((~old(X)&~tall(X))=>~calm(X)))&
(((generous(mary)|~generous(mary)))=>((~strong(fred)<~>funny(fred))))&
(![X]:(~quiet(X)<=>(generous(X)&rich(... | ~funny(lucy) | [
"p0",
"p2",
"p5",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4353500130245829957291789
% SZS output start Proof for 4353500130245829957291789
1. ! [X0] : ((~wise(X0) | ~creative(X0)) <=> (quiet(X0) & curious(X0))) [input p0]
3. ! [X0] : ((~kind(X0) <~> ~funny(X0)) <=> (wise(X0) | curious(X0))) [input p2]
6. ! [X0] : (~quiet(X0) <=> (rich(X0) & gene... | 0 |
If someone is calm then alice is both creative and tall and vice versa. Everyone who is both not patient and funny is either brave or funny. Everyone who is either tall or not generous is not calm or not happy. Everyone who is either not humble or strong is rich. Everyone who is quiet or not patient is creative. If joh... | John is not curious. | neutral | ((?[X]:(calm(X)))<=>((creative(alice)&tall(alice))))&
(![X]:((~patient(X)&funny(X))=>(brave(X)<~>funny(X))))&
(![X]:((tall(X)<~>~generous(X))=>(~calm(X)|~happy(X))))&
(![X]:((~humble(X)<~>strong(X))=>rich(X)))&
(![X]:((quiet(X)|~patient(X))=>creative(X)))&
((~patient(john))<=>(?[X]:((wise(X)&~kind(X)))))&
((~humble(fre... | ~curious(john) | [] | null | 0 |
If lucy is both curious and tall then mary is either not funny or strong and vice versa. Everyone who is both not humble and not strong is both old and curious. If someone is curious then susan is not curious. If lucy is old then someone is either curious or not quiet. If paul is either tall or patient then someone is ... | Fred is not creative. | contradiction | (((curious(lucy)&tall(lucy)))<=>((~funny(mary)<~>strong(mary))))&
(![X]:((~humble(X)&~strong(X))=>(old(X)&curious(X))))&
((?[X]:(curious(X)))=>(~curious(susan)))&
((old(lucy))=>(?[X]:((curious(X)<~>~quiet(X)))))&
(((tall(paul)<~>patient(paul)))=>(?[X]:((funny(X)&wise(X)))))&
(![X]:((happy(X)&~calm(X))<=>patient(X)))&
(... | ~creative(fred) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6828129953727445231375068
% SZS output start Proof for 6828129953727445231375068
3. ? [X0] : curious(X0) => ~curious(susan) [input p2]
16. ? [X0] : (~generous(X0) | ~curious(X0)) <=> (old(fred) & creative(fred)) [input p15]
25. ~creative(fred) [input hypothesis]
31. ~curious(susan) | ! [X... | 0 |
Everyone who is both not humble and not wise is not funny.
If mary is either not strong or humble then someone is either kind or not rich and vice versa.
Everyone who is not kind or not quiet is both not humble and not wise and vice versa.
Everyone who is either strong or quiet is curious.
If someone is happy or brave ... | Fred is humble. | contradiction | (![X]:((~humble(X)&~wise(X))=>~funny(X)))&
(((~strong(mary)<~>humble(mary)))<=>(?[X]:((kind(X)<~>~rich(X)))))&
(![X]:((~kind(X)|~quiet(X))<=>(~humble(X)&~wise(X))))&
(![X]:((strong(X)<~>quiet(X))=>curious(X)))&
((?[X]:((happy(X)|brave(X))))<=>(?[X]:((patient(X)<~>~tall(X)))))&
(![X]:((tall(X)<~>patient(X))<=>(tall(X)&~... | humble(fred) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1178495094482349520960381
% SZS output start Proof for 1178495094482349520960381
3. ! [X0] : ((~quiet(X0) | ~kind(X0)) <=> (~wise(X0) & ~humble(X0))) [input p2]
7. ! [X0] : ((~humble(X0) & patient(X0)) <=> (~quiet(X0) | kind(X0))) [input p6]
25. humble(fred) [input hypothesis]
38. ! [X0] ... | 0 |
Everyone who is both funny and not generous is creative and vice versa.
Everyone who is not brave is either quiet or kind.
If susan is calm or not calm then someone is humble and vice versa.
If someone is not strong then someone is not strong or not wise and vice versa.
Everyone who is both not funny and not old is not... | Fred is patient. | neutral | (![X]:((funny(X)&~generous(X))<=>creative(X)))&
(![X]:(~brave(X)=>(quiet(X)<~>kind(X))))&
(((calm(susan)|~calm(susan)))<=>(?[X]:(humble(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~strong(X)|~wise(X)))))&
(![X]:((~funny(X)&~old(X))=>~humble(X)))&
(![X]:(happy(X)<=>(tall(X)&happy(X))))&
(![X]:((creative(X)&~creative(X))=>rich... | patient(fred) | [] | null | 0 |
If someone is not happy or curious then someone is not calm or not happy and vice versa. If someone is either tall or not patient then john is both generous and not wise and vice versa. Everyone who is both curious and calm is either not old or not creative and vice versa. If someone is both old and humble then mary is... | Alice is quiet. | neutral | ((?[X]:((~happy(X)|curious(X))))<=>(?[X]:((~calm(X)|~happy(X)))))&
((?[X]:((tall(X)<~>~patient(X))))<=>((generous(john)&~wise(john))))&
(![X]:((curious(X)&calm(X))<=>(~old(X)<~>~creative(X))))&
((?[X]:((old(X)&humble(X))))=>(humble(mary)))&
(![X]:((~tall(X)&humble(X))=>(~strong(X)&wise(X))))&
((~calm(lucy))<=>((rich(su... | quiet(alice) | [] | null | 0 |
Everyone who is quiet or not wise is not quiet and vice versa.
If paul is generous or calm then paul is strong or not strong and vice versa.
If susan is both generous and not calm then paul is not generous.
If susan is both wise and not patient then lucy is not rich.
Everyone who is not tall or old is either not funny ... | Fred is old. | entailment | (![X]:((quiet(X)|~wise(X))<=>~quiet(X)))&
(((generous(paul)|calm(paul)))<=>((strong(paul)|~strong(paul))))&
(((generous(susan)&~calm(susan)))=>(~generous(paul)))&
(((wise(susan)&~patient(susan)))=>(~rich(lucy)))&
(![X]:((~tall(X)|old(X))<=>(~funny(X)<~>~curious(X))))&
(![X]:((~rich(X)&~generous(X))<=>(~kind(X)&patient(... | old(fred) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4951285238188532165371249
% SZS output start Proof for 4951285238188532165371249
1. ! [X0] : ((~wise(X0) | quiet(X0)) <=> ~quiet(X0)) [input p0]
9. ! [X0] : ((~wise(X0) | ~brave(X0)) <=> old(X0)) [input p8]
22. ~old(fred) [input hypothesis]
36. ! [X0] : (((~wise(X0) | quiet(X0)) | quiet(X... | 0 |
Everyone who is both strong and not quiet is either not old or old and vice versa.
Everyone who is wise is curious.
If mary is either not kind or not quiet then someone is either not patient or happy and vice versa.
If john is tall or funny then lucy is not strong or not humble.
If someone is generous then someone is n... | Alice is not wise. | entailment | (![X]:((strong(X)&~quiet(X))<=>(~old(X)<~>old(X))))&
(![X]:(wise(X)=>curious(X)))&
(((~kind(mary)<~>~quiet(mary)))<=>(?[X]:((~patient(X)<~>happy(X)))))&
(((tall(john)|funny(john)))=>((~strong(lucy)|~humble(lucy))))&
((?[X]:(generous(X)))<=>(?[X]:(~old(X))))&
((humble(mary))<=>((patient(lucy)|rich(lucy))))&
((?[X]:((~ol... | ~wise(alice) | [
"p1",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 691319858862537943788148
% SZS output start Proof for 691319858862537943788148
2. ! [X0] : (wise(X0) => curious(X0)) [input p1]
21. ~curious(alice) & generous(alice) [input p20]
24. wise(alice) [input hypothesis]
28. ! [X0] : (curious(X0) | ~wise(X0)) [ennf transformation 2]
84. ~wise(X0)... | 0 |
If someone is both rich and not curious then paul is either not brave or creative.
Everyone who is not old or not humble is either not kind or kind and vice versa.
Everyone who is not happy or not brave is strong and vice versa.
If mary is either not wise or not old then someone is not quiet or not creative.
Everyone w... | Paul is not old. | entailment | ((?[X]:((rich(X)&~curious(X))))=>((~brave(paul)<~>creative(paul))))&
(![X]:((~old(X)|~humble(X))<=>(~kind(X)<~>kind(X))))&
(![X]:((~happy(X)|~brave(X))<=>strong(X)))&
(((~wise(mary)<~>~old(mary)))=>(?[X]:((~quiet(X)|~creative(X)))))&
(![X]:((strong(X)|quiet(X))=>(~humble(X)<~>funny(X))))&
(![X]:((old(X)<~>strong(X))<=>... | ~old(paul) | [
"p1",
"p4",
"p5",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7370392291995293005176442
% SZS output start Proof for 7370392291995293005176442
2. ! [X0] : ((~humble(X0) | ~old(X0)) <=> (~kind(X0) <~> kind(X0))) [input p1]
5. ! [X0] : ((quiet(X0) | strong(X0)) => (~humble(X0) <~> funny(X0))) [input p4]
6. ! [X0] : ((old(X0) <~> strong(X0)) <=> (~funn... | 0 |
Everyone who is either not creative or wise is either calm or not tall.
If paul is both funny and not brave then susan is not creative or tall.
If someone is curious or brave then john is either strong or calm and vice versa.
Everyone who is both tall and not rich is not old and vice versa.
Everyone who is quiet or not... | Paul is creative. | neutral | (![X]:((~creative(X)<~>wise(X))=>(calm(X)<~>~tall(X))))&
(((funny(paul)&~brave(paul)))=>((~creative(susan)|tall(susan))))&
((?[X]:((curious(X)|brave(X))))<=>((strong(john)<~>calm(john))))&
(![X]:((tall(X)&~rich(X))<=>~old(X)))&
(![X]:((quiet(X)|~old(X))<=>(~calm(X)|~funny(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((~strong(X... | creative(paul) | [] | null | 0 |
If someone is either kind or funny then someone is not funny. Everyone who is both wise and not brave is either kind or not brave. Everyone who is not generous or funny is not rich. If mary is creative or not generous then john is humble or not calm and vice versa. If john is both generous and calm then mary is curious... | Paul is not tall. | neutral | ((?[X]:((kind(X)<~>funny(X))))=>(?[X]:(~funny(X))))&
(![X]:((wise(X)&~brave(X))=>(kind(X)<~>~brave(X))))&
(![X]:((~generous(X)|funny(X))=>~rich(X)))&
(((creative(mary)|~generous(mary)))<=>((humble(john)|~calm(john))))&
(((generous(john)&calm(john)))<=>(curious(mary)))&
((?[X]:((~strong(X)&curious(X))))<=>(?[X]:((~kind(... | ~tall(paul) | [] | null | 0 |
Everyone who is either quiet or not tall is either not creative or humble and vice versa.
If someone is not funny or not curious then someone is either not curious or not strong and vice versa.
Everyone who is generous or not curious is not funny or brave.
If paul is not happy then someone is either not tall or not old... | Paul is curious. | contradiction | (![X]:((quiet(X)<~>~tall(X))<=>(~creative(X)<~>humble(X))))&
((?[X]:((~funny(X)|~curious(X))))<=>(?[X]:((~curious(X)<~>~strong(X)))))&
(![X]:((generous(X)|~curious(X))=>(~funny(X)|brave(X))))&
((~happy(paul))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(![X]:((~quiet(X)&~kind(X))<=>tall(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~... | curious(paul) | [
"p0",
"p4",
"p5",
"p6",
"p15",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 612049022052397574612950
% SZS output start Proof for 612049022052397574612950
1. ! [X0] : ((quiet(X0) <~> ~tall(X0)) <=> (~creative(X0) <~> humble(X0))) [input p0]
5. ! [X0] : ((~kind(X0) & ~quiet(X0)) <=> tall(X0)) [input p4]
6. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> (curious(X0) & ... | 0 |
If lucy is either not kind or wise then john is both not rich and wise and vice versa. Everyone who is either generous or creative is happy and vice versa. Everyone who is not funny or funny is not wise or brave. Everyone who is both not funny and funny is not funny and vice versa. Everyone who is brave is either not w... | Mary is curious. | contradiction | (((~kind(lucy)<~>wise(lucy)))<=>((~rich(john)&wise(john))))&
(![X]:((generous(X)<~>creative(X))<=>happy(X)))&
(![X]:((~funny(X)|funny(X))=>(~wise(X)|brave(X))))&
(![X]:((~funny(X)&funny(X))<=>~funny(X)))&
(![X]:(brave(X)<=>(~wise(X)<~>~happy(X))))&
(![X]:(brave(X)<=>(~wise(X)&~old(X))))&
((?[X]:(creative(X)))<=>(?[X]:(... | curious(mary) | [
"p2",
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7613458226919349058507584
% SZS output start Proof for 7613458226919349058507584
3. ! [X0] : ((funny(X0) | ~funny(X0)) => (brave(X0) | ~wise(X0))) [input p2]
6. ! [X0] : (brave(X0) <=> (~old(X0) & ~wise(X0))) [input p5]
21. curious(mary) <~> ~wise(mary) [input p20]
23. curious(mary) [inpu... | 0 |
If mary is both humble and tall then paul is either brave or patient.
If alice is both not rich and tall then lucy is either wise or curious.
Everyone who is either happy or patient is tall or strong.
If someone is not humble then someone is curious.
If someone is not patient or strong then lucy is both not wise and no... | Paul is not curious. | entailment | (((humble(mary)&tall(mary)))=>((brave(paul)<~>patient(paul))))&
(((~rich(alice)&tall(alice)))=>((wise(lucy)<~>curious(lucy))))&
(![X]:((happy(X)<~>patient(X))=>(tall(X)|strong(X))))&
((?[X]:(~humble(X)))=>(?[X]:(curious(X))))&
((?[X]:((~patient(X)|strong(X))))=>((~wise(lucy)&~quiet(lucy))))&
((?[X]:((generous(X)|creati... | ~curious(paul) | [
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7055386946285405236640081
% SZS output start Proof for 7055386946285405236640081
16. ! [X0] : (~curious(X0) <=> quiet(X0)) [input p15]
20. quiet(paul) [input p19]
23. curious(paul) [input hypothesis]
74. ! [X0] : ((~curious(X0) | ~quiet(X0)) & (quiet(X0) | curious(X0))) [nnf transformatio... | 0 |
If fred is not funny or not generous then someone is not strong. Everyone who is either generous or not generous is both not humble and not kind. If someone is both not wise and not curious then mary is old or not tall and vice versa. Everyone who is both not kind and not curious is brave or strong and vice versa. Ever... | Fred is not kind. | entailment | (((~funny(fred)|~generous(fred)))=>(?[X]:(~strong(X))))&
(![X]:((generous(X)<~>~generous(X))=>(~humble(X)&~kind(X))))&
((?[X]:((~wise(X)&~curious(X))))<=>((old(mary)|~tall(mary))))&
(![X]:((~kind(X)&~curious(X))<=>(brave(X)|strong(X))))&
(![X]:(~calm(X)<=>(tall(X)<~>happy(X))))&
(![X]:((brave(X)&~humble(X))<=>(~old(X)|... | ~kind(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5037277358353774736404711
% SZS output start Proof for 5037277358353774736404711
2. ! [X0] : ((generous(X0) <~> ~generous(X0)) => (~kind(X0) & ~humble(X0))) [input p1]
24. kind(fred) [input hypothesis]
27. ! [X0] : ((~kind(X0) & ~humble(X0)) | (generous(X0) <=> ~generous(X0))) [ennf trans... | 0 |
If mary is rich then someone is quiet and vice versa. If someone is either not kind or not old then someone is brave or not creative and vice versa. If paul is not funny or tall then someone is both not old and not curious. Everyone who is not happy is both not happy and rich and vice versa. If alice is either not pati... | Mary is kind. | entailment | ((rich(mary))<=>(?[X]:(quiet(X))))&
((?[X]:((~kind(X)<~>~old(X))))<=>(?[X]:((brave(X)|~creative(X)))))&
(((~funny(paul)|tall(paul)))=>(?[X]:((~old(X)&~curious(X)))))&
(![X]:(~happy(X)<=>(~happy(X)&rich(X))))&
(((~patient(alice)<~>humble(alice)))<=>(?[X]:((~humble(X)<~>rich(X)))))&
(![X]:((~kind(X)|quiet(X))=>(~kind(X)<... | kind(mary) | [
"p0",
"p5",
"p6",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8527352272644674572386012
% SZS output start Proof for 8527352272644674572386012
1. rich(mary) <=> ? [X0] : quiet(X0) [input p0]
6. ! [X0] : ((quiet(X0) | ~kind(X0)) => (~kind(X0) <~> tall(X0))) [input p5]
7. ! [X0] : (~calm(X0) => quiet(X0)) [input p6]
10. ! [X0] : ((~happy(X0) | ~rich(X... | 0 |
Everyone who is not creative or kind is curious. If someone is humble or strong then lucy is either not patient or not strong and vice versa. Everyone who is either brave or old is either happy or old and vice versa. If susan is both funny and patient then someone is not brave or not quiet and vice versa. Everyone who ... | Mary is calm. | neutral | (![X]:((~creative(X)|kind(X))=>curious(X)))&
((?[X]:((humble(X)|strong(X))))<=>((~patient(lucy)<~>~strong(lucy))))&
(![X]:((brave(X)<~>old(X))<=>(happy(X)<~>old(X))))&
(((funny(susan)&patient(susan)))<=>(?[X]:((~brave(X)|~quiet(X)))))&
(![X]:((creative(X)|wise(X))=>(~patient(X)<~>strong(X))))&
(![X]:(creative(X)=>(~cre... | calm(mary) | [] | null | 0 |
Everyone who is both brave and kind is either not creative or calm and vice versa.
Everyone who is both not strong and not quiet is brave and vice versa.
Everyone who is rich is curious or not happy and vice versa.
Everyone who is either tall or humble is either not happy or tall.
Everyone who is not happy is either qu... | Alice is not quiet. | neutral | (![X]:((brave(X)&kind(X))<=>(~creative(X)<~>calm(X))))&
(![X]:((~strong(X)&~quiet(X))<=>brave(X)))&
(![X]:(rich(X)<=>(curious(X)|~happy(X))))&
(![X]:((tall(X)<~>humble(X))=>(~happy(X)<~>tall(X))))&
(![X]:(~happy(X)<=>(quiet(X)<~>humble(X))))&
((?[X]:((generous(X)|old(X))))<=>(?[X]:((kind(X)|~old(X)))))&
(![X]:((strong(... | ~quiet(alice) | [] | null | 0 |
If someone is either not quiet or patient then someone is tall and vice versa. Everyone who is both curious and not happy is either happy or not patient. If alice is either not generous or patient then someone is not happy or not strong and vice versa. Everyone who is patient is not curious or wise and vice versa. Ever... | Susan is not patient. | contradiction | ((?[X]:((~quiet(X)<~>patient(X))))<=>(?[X]:(tall(X))))&
(![X]:((curious(X)&~happy(X))=>(happy(X)<~>~patient(X))))&
(((~generous(alice)<~>patient(alice)))<=>(?[X]:((~happy(X)|~strong(X)))))&
(![X]:(patient(X)<=>(~curious(X)|wise(X))))&
(![X]:(funny(X)<=>(~kind(X)<~>~brave(X))))&
(![X]:(brave(X)<=>(~curious(X)&~patient(X... | ~patient(susan) | [
"p0",
"p3",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3717652626343555771821046
% SZS output start Proof for 3717652626343555771821046
1. ? [X0] : (~quiet(X0) <~> patient(X0)) <=> ? [X0] : tall(X0) [input p0]
4. ! [X0] : (patient(X0) <=> (wise(X0) | ~curious(X0))) [input p3]
6. ! [X0] : (brave(X0) <=> (~patient(X0) & ~curious(X0))) [input p5... | 0 |
If fred is both not old and not humble then someone is both not quiet and kind and vice versa.
Everyone who is not kind or not funny is either not patient or quiet and vice versa.
Everyone who is not funny is funny or patient.
If paul is both not old and curious then lucy is either not wise or not funny and vice versa.... | John is patient. | entailment | (((~old(fred)&~humble(fred)))<=>(?[X]:((~quiet(X)&kind(X)))))&
(![X]:((~kind(X)|~funny(X))<=>(~patient(X)<~>quiet(X))))&
(![X]:(~funny(X)=>(funny(X)|patient(X))))&
(((~old(paul)&curious(paul)))<=>((~wise(lucy)<~>~funny(lucy))))&
(((calm(john)<~>happy(john)))=>((old(alice)<~>~happy(alice))))&
((?[X]:(generous(X)))<=>((k... | patient(john) | [
"p2",
"p5",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8588945168780146690595928
% SZS output start Proof for 8588945168780146690595928
3. ! [X0] : (~funny(X0) => (patient(X0) | funny(X0))) [input p2]
6. ? [X0] : generous(X0) <=> (~patient(mary) & kind(mary)) [input p5]
15. (funny(john) | creative(john)) <=> (~happy(mary) & patient(mary)) [in... | 0 |
If mary is not curious then john is either funny or not brave. Everyone who is happy is not patient and vice versa. Everyone who is happy or not old is not curious. Everyone who is both brave and happy is both rich and not funny and vice versa. If someone is both not patient and not rich then someone is generous. Every... | Alice is happy. | contradiction | ((~curious(mary))=>((funny(john)<~>~brave(john))))&
(![X]:(happy(X)<=>~patient(X)))&
(![X]:((happy(X)|~old(X))=>~curious(X)))&
(![X]:((brave(X)&happy(X))<=>(rich(X)&~funny(X))))&
((?[X]:((~patient(X)&~rich(X))))=>(?[X]:(generous(X))))&
(![X]:(~kind(X)<=>funny(X)))&
(![X]:(humble(X)<=>(old(X)<~>~brave(X))))&
((?[X]:((~h... | happy(alice) | [
"p1",
"p2",
"p3",
"p5",
"p9",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4654944912443331005462214
% SZS output start Proof for 4654944912443331005462214
2. ! [X0] : (happy(X0) <=> ~patient(X0)) [input p1]
3. ! [X0] : ((~old(X0) | happy(X0)) => ~curious(X0)) [input p2]
4. ! [X0] : ((happy(X0) & brave(X0)) <=> (~funny(X0) & rich(X0))) [input p3]
6. ! [X0] : (~k... | 0 |
Everyone who is not curious is either not generous or not kind and vice versa. If someone is not generous then someone is creative or not wise and vice versa. Everyone who is either not quiet or quiet is patient or calm and vice versa. If paul is either tall or old then john is either kind or not patient and vice versa... | Paul is not wise. | entailment | (![X]:(~curious(X)<=>(~generous(X)<~>~kind(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((creative(X)|~wise(X)))))&
(![X]:((~quiet(X)<~>quiet(X))<=>(patient(X)|calm(X))))&
(((tall(paul)<~>old(paul)))<=>((kind(john)<~>~patient(john))))&
(![X]:((~tall(X)|wise(X))=>generous(X)))&
(![X]:(~patient(X)<=>(wise(X)|~old(X))))&
((~curi... | ~wise(paul) | [
"p2",
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2824369698467267752995364
% SZS output start Proof for 2824369698467267752995364
3. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (calm(X0) | patient(X0))) [input p2]
6. ! [X0] : (~patient(X0) <=> (~old(X0) | wise(X0))) [input p5]
21. ~calm(paul) & generous(paul) [input p20]
24. wise(paul) [in... | 0 |
Everyone who is either humble or patient is either humble or not strong and vice versa.
Everyone who is both quiet and not wise is wise.
Everyone who is either creative or calm is not generous or calm.
Everyone who is calm or not happy is either not rich or not generous.
If someone is either not humble or rich then som... | John is not tall. | neutral | (![X]:((humble(X)<~>patient(X))<=>(humble(X)<~>~strong(X))))&
(![X]:((quiet(X)&~wise(X))=>wise(X)))&
(![X]:((creative(X)<~>calm(X))=>(~generous(X)|calm(X))))&
(![X]:((calm(X)|~happy(X))=>(~rich(X)<~>~generous(X))))&
((?[X]:((~humble(X)<~>rich(X))))<=>(?[X]:(brave(X))))&
((~happy(alice))=>(~calm(mary)))&
((?[X]:((kind(X... | ~tall(john) | [] | null | 0 |
Everyone who is both not strong and old is not tall.
Everyone who is humble or generous is not old and vice versa.
If someone is not curious then paul is calm.
If mary is either rich or not quiet then alice is either wise or humble.
Everyone who is not tall or not generous is not curious or quiet.
If someone is tall th... | Lucy is not patient. | neutral | (![X]:((~strong(X)&old(X))=>~tall(X)))&
(![X]:((humble(X)|generous(X))<=>~old(X)))&
((?[X]:(~curious(X)))=>(calm(paul)))&
(((rich(mary)<~>~quiet(mary)))=>((wise(alice)<~>humble(alice))))&
(![X]:((~tall(X)|~generous(X))=>(~curious(X)|quiet(X))))&
((?[X]:(tall(X)))<=>(?[X]:((quiet(X)<~>funny(X)))))&
(![X]:((old(X)<~>~str... | ~patient(lucy) | [] | null | 0 |
If mary is either not brave or not quiet then susan is either not rich or not quiet. If susan is either creative or calm then someone is not brave or wise. If someone is either humble or creative then someone is both not tall and kind. Everyone who is both not strong and not quiet is not kind. Everyone who is either ha... | Lucy is not patient. | neutral | (((~brave(mary)<~>~quiet(mary)))=>((~rich(susan)<~>~quiet(susan))))&
(((creative(susan)<~>calm(susan)))=>(?[X]:((~brave(X)|wise(X)))))&
((?[X]:((humble(X)<~>creative(X))))=>(?[X]:((~tall(X)&kind(X)))))&
(![X]:((~strong(X)&~quiet(X))=>~kind(X)))&
(![X]:((happy(X)<~>~old(X))<=>~happy(X)))&
(((~quiet(fred)<~>curious(fred)... | ~patient(lucy) | [] | null | 0 |
If someone is both not quiet and not creative then mary is not funny or not quiet.
Everyone who is both not kind and wise is calm or generous and vice versa.
If someone is generous or creative then someone is both not funny and funny.
Everyone who is not calm is not humble and vice versa.
If someone is patient or happy... | Paul is tall. | entailment | ((?[X]:((~quiet(X)&~creative(X))))=>((~funny(mary)|~quiet(mary))))&
(![X]:((~kind(X)&wise(X))<=>(calm(X)|generous(X))))&
((?[X]:((generous(X)|creative(X))))=>(?[X]:((~funny(X)&funny(X)))))&
(![X]:(~calm(X)<=>~humble(X)))&
((?[X]:((patient(X)|happy(X))))=>(?[X]:((strong(X)&creative(X)))))&
((?[X]:((~strong(X)<~>generous... | tall(paul) | [
"p2",
"p4",
"p7",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1832593070474283116452205
% SZS output start Proof for 1832593070474283116452205
3. ? [X0] : (creative(X0) | generous(X0)) => ? [X0] : (funny(X0) & ~funny(X0)) [input p2]
5. ? [X0] : (happy(X0) | patient(X0)) => ? [X0] : (creative(X0) & strong(X0)) [input p4]
8. ! [X0] : ((tall(X0) <~> qu... | 0 |
Everyone who is not rich or not calm is strong and vice versa.
Everyone who is not humble is kind.
If someone is not generous then mary is not quiet or not rich.
Everyone who is generous or rich is humble.
Everyone who is both not happy and not humble is either not humble or not funny and vice versa.
Everyone who is st... | Fred is not generous. | neutral | (![X]:((~rich(X)|~calm(X))<=>strong(X)))&
(![X]:(~humble(X)=>kind(X)))&
((?[X]:(~generous(X)))=>((~quiet(mary)|~rich(mary))))&
(![X]:((generous(X)|rich(X))=>humble(X)))&
(![X]:((~happy(X)&~humble(X))<=>(~humble(X)<~>~funny(X))))&
(![X]:((strong(X)|humble(X))=>(creative(X)<~>~brave(X))))&
(((~calm(susan)<~>~patient(susa... | ~generous(fred) | [] | null | 0 |
Everyone who is old or rich is not happy or happy.
If someone is both quiet and not humble then paul is not kind and vice versa.
Everyone who is not rich is either funny or quiet and vice versa.
Everyone who is happy or not wise is funny.
Everyone who is old or funny is either not happy or not patient.
If susan is eith... | Susan is old. | entailment | (![X]:((old(X)|rich(X))=>(~happy(X)|happy(X))))&
((?[X]:((quiet(X)&~humble(X))))<=>(~kind(paul)))&
(![X]:(~rich(X)<=>(funny(X)<~>quiet(X))))&
(![X]:((happy(X)|~wise(X))=>funny(X)))&
(![X]:((old(X)|funny(X))=>(~happy(X)<~>~patient(X))))&
(((~calm(susan)<~>~kind(susan)))<=>(?[X]:((~strong(X)<~>~calm(X)))))&
((?[X]:((wise... | old(susan) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2396285280281971480469758
% SZS output start Proof for 2396285280281971480469758
7. ? [X0] : (~old(X0) | wise(X0)) => (old(susan) & ~curious(susan)) [input p6]
24. ? [X0] : ~old(X0) [input p23]
25. ~old(susan) [input hypothesis]
27. ? [X0] : (~old(X0) | wise(X0)) => old(susan) [pure predi... | 0 |
Everyone who is either generous or curious is not wise or happy.
If someone is quiet or calm then paul is not rich and vice versa.
Everyone who is happy or old is strong and vice versa.
If someone is not rich or not creative then alice is quiet or not strong.
Everyone who is both not strong and not wise is both not tal... | Lucy is not patient. | entailment | (![X]:((generous(X)<~>curious(X))=>(~wise(X)|happy(X))))&
((?[X]:((quiet(X)|calm(X))))<=>(~rich(paul)))&
(![X]:((happy(X)|old(X))<=>strong(X)))&
((?[X]:((~rich(X)|~creative(X))))=>((quiet(alice)|~strong(alice))))&
(![X]:((~strong(X)&~wise(X))<=>(~tall(X)&patient(X))))&
(((rich(mary)|~humble(mary)))=>((calm(mary)<~>wise... | ~patient(lucy) | [
"p2",
"p4",
"p6",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 278176240000725101121642
% SZS output start Proof for 278176240000725101121642
3. ! [X0] : ((old(X0) | happy(X0)) <=> strong(X0)) [input p2]
5. ! [X0] : ((~wise(X0) & ~strong(X0)) <=> (patient(X0) & ~tall(X0))) [input p4]
7. ! [X0] : ((tall(X0) <~> ~rich(X0)) => (funny(X0) & ~strong(X0)))... | 0 |
Everyone who is not generous or not patient is brave. If someone is quiet then someone is both not strong and strong. Everyone who is not quiet or tall is either strong or rich. If john is funny then alice is rich. Everyone who is either not funny or not old is not tall or tall. Everyone who is both not strong and not ... | Fred is not tall. | entailment | (![X]:((~generous(X)|~patient(X))=>brave(X)))&
((?[X]:(quiet(X)))=>(?[X]:((~strong(X)&strong(X)))))&
(![X]:((~quiet(X)|tall(X))=>(strong(X)<~>rich(X))))&
((funny(john))=>(rich(alice)))&
(![X]:((~funny(X)<~>~old(X))=>(~tall(X)|tall(X))))&
(![X]:((~strong(X)&~calm(X))=>~quiet(X)))&
(((~quiet(susan)&creative(susan)))=>(?[... | ~tall(fred) | [
"p0",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6079784997611064482625813
% SZS output start Proof for 6079784997611064482625813
1. ! [X0] : ((~patient(X0) | ~generous(X0)) => brave(X0)) [input p0]
9. ! [X0] : ((tall(X0) <~> ~brave(X0)) <=> (~happy(X0) | ~funny(X0))) [input p8]
13. ! [X0] : ((creative(X0) & rich(X0)) <=> ~rich(X0)) [in... | 0 |
If someone is not patient then susan is both not tall and not generous. Everyone who is generous is both creative and old. If someone is either tall or not happy then someone is not strong or kind. Everyone who is not quiet or not brave is both not patient and not strong and vice versa. Everyone who is not tall or not ... | Lucy is calm. | contradiction | ((?[X]:(~patient(X)))=>((~tall(susan)&~generous(susan))))&
(![X]:(generous(X)=>(creative(X)&old(X))))&
((?[X]:((tall(X)<~>~happy(X))))=>(?[X]:((~strong(X)|kind(X)))))&
(![X]:((~quiet(X)|~brave(X))<=>(~patient(X)&~strong(X))))&
(![X]:((~tall(X)|~strong(X))=>(calm(X)<~>generous(X))))&
(![X]:((~brave(X)&~funny(X))<=>happy... | calm(lucy) | [
"p0",
"p3",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9215292500291389373587280
% SZS output start Proof for 9215292500291389373587280
1. ? [X0] : ~patient(X0) => (~generous(susan) & ~tall(susan)) [input p0]
4. ! [X0] : ((~brave(X0) | ~quiet(X0)) <=> (~strong(X0) & ~patient(X0))) [input p3]
12. ! [X0] : (calm(X0) <=> ~brave(X0)) [input p11]
... | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is both old and patient is both not old and not strong.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is both not quiet and tall then someone ... | Alice is not creative. | neutral | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)&patient(X))=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))&... | ~creative(alice) | [] | null | 0 |
Everyone who is not strong or old is humble or not brave.
If alice is either happy or not curious then alice is either old or not generous and vice versa.
If someone is creative or funny then alice is strong or humble.
Everyone who is creative or humble is not tall or tall and vice versa.
Everyone who is either generou... | Mary is funny. | neutral | (![X]:((~strong(X)|old(X))=>(humble(X)|~brave(X))))&
(((happy(alice)<~>~curious(alice)))<=>((old(alice)<~>~generous(alice))))&
((?[X]:((creative(X)|funny(X))))=>((strong(alice)|humble(alice))))&
(![X]:((creative(X)|humble(X))<=>(~tall(X)|tall(X))))&
(![X]:((generous(X)<~>~humble(X))=>happy(X)))&
(((~tall(paul)|~old(pau... | funny(mary) | [] | null | 0 |
Everyone who is either not funny or old is not old and vice versa. If mary is both not wise and creative then someone is not strong and vice versa. Everyone who is not generous or not wise is wise or not creative and vice versa. If lucy is quiet or not creative then paul is creative or not funny and vice versa. Everyon... | Alice is not rich. | entailment | (![X]:((~funny(X)<~>old(X))<=>~old(X)))&
(((~wise(mary)&creative(mary)))<=>(?[X]:(~strong(X))))&
(![X]:((~generous(X)|~wise(X))<=>(wise(X)|~creative(X))))&
(((quiet(lucy)|~creative(lucy)))<=>((creative(paul)|~funny(paul))))&
(![X]:((generous(X)|~old(X))<=>(~tall(X)|generous(X))))&
(![X]:((generous(X)|calm(X))=>(happy(X... | ~rich(alice) | [
"p1",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3533465803127953019853497
% SZS output start Proof for 3533465803127953019853497
2. (creative(mary) & ~wise(mary)) <=> ? [X0] : ~strong(X0) [input p1]
3. ! [X0] : ((~wise(X0) | ~generous(X0)) <=> (~creative(X0) | wise(X0))) [input p2]
11. ! [X0] : ((rich(X0) | calm(X0)) <=> (~strong(X0) &... | 0 |
Everyone who is brave is not calm or not generous.
Everyone who is both not funny and not humble is both not generous and not strong.
Everyone who is either not curious or not creative is both wise and brave and vice versa.
Everyone who is not generous or not wise is both happy and not kind.
Everyone who is patient or ... | John is not strong. | neutral | (![X]:(brave(X)=>(~calm(X)|~generous(X))))&
(![X]:((~funny(X)&~humble(X))=>(~generous(X)&~strong(X))))&
(![X]:((~curious(X)<~>~creative(X))<=>(wise(X)&brave(X))))&
(![X]:((~generous(X)|~wise(X))=>(happy(X)&~kind(X))))&
(![X]:((patient(X)|funny(X))<=>(~rich(X)&~strong(X))))&
(![X]:((~quiet(X)|~tall(X))=>(funny(X)<~>crea... | ~strong(john) | [] | null | 0 |
Everyone who is not humble is either strong or not generous and vice versa. Everyone who is funny is not kind or not calm. If paul is either patient or not curious then someone is creative or strong. If someone is both patient and not strong then someone is quiet and vice versa. If lucy is not strong then fred is both ... | John is not quiet. | neutral | (![X]:(~humble(X)<=>(strong(X)<~>~generous(X))))&
(![X]:(funny(X)=>(~kind(X)|~calm(X))))&
(((patient(paul)<~>~curious(paul)))=>(?[X]:((creative(X)|strong(X)))))&
((?[X]:((patient(X)&~strong(X))))<=>(?[X]:(quiet(X))))&
((~strong(lucy))=>((humble(fred)&~funny(fred))))&
(((rich(lucy)<~>~patient(lucy)))<=>(?[X]:(kind(X))))... | ~quiet(john) | [] | null | 0 |
If susan is wise or kind then someone is both not brave and not humble and vice versa.
Everyone who is not generous is either happy or curious and vice versa.
Everyone who is humble or kind is patient.
Everyone who is either old or brave is both not generous and not curious and vice versa.
If paul is not rich then mary... | Susan is brave. | neutral | (((wise(susan)|kind(susan)))<=>(?[X]:((~brave(X)&~humble(X)))))&
(![X]:(~generous(X)<=>(happy(X)<~>curious(X))))&
(![X]:((humble(X)|kind(X))=>patient(X)))&
(![X]:((old(X)<~>brave(X))<=>(~generous(X)&~curious(X))))&
((~rich(paul))=>(~curious(mary)))&
(![X]:((~generous(X)<~>~quiet(X))=>(~quiet(X)|humble(X))))&
(![X]:(~cr... | brave(susan) | [] | null | 0 |
If someone is either not creative or not curious then someone is not patient or not happy. If alice is not curious or not funny then someone is curious and vice versa. Everyone who is either not generous or rich is both humble and rich. Everyone who is not curious is quiet or not brave and vice versa. If someone is not... | John is tall. | contradiction | ((?[X]:((~creative(X)<~>~curious(X))))=>(?[X]:((~patient(X)|~happy(X)))))&
(((~curious(alice)|~funny(alice)))<=>(?[X]:(curious(X))))&
(![X]:((~generous(X)<~>rich(X))=>(humble(X)&rich(X))))&
(![X]:(~curious(X)<=>(quiet(X)|~brave(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((~tall(X)|humble(X)))))&
((?[X]:((~curious(X)|~funny(X)))... | tall(john) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5695473381524853482275708
% SZS output start Proof for 5695473381524853482275708
20. generous(john) & ~tall(john) [input p19]
25. tall(john) [input hypothesis]
155. ~tall(john) [cnf transformation 20]
162. tall(john) [cnf transformation 25]
264. 24 <=> tall(john) [avatar definition]
385. ... | 0 |
Everyone who is not creative or wise is not curious. Everyone who is tall or rich is both not calm and not patient. Everyone who is either not creative or old is either patient or not humble and vice versa. Everyone who is both generous and not kind is either creative or happy. Everyone who is either strong or not tall... | Lucy is tall. | contradiction | (![X]:((~creative(X)|wise(X))=>~curious(X)))&
(![X]:((tall(X)|rich(X))=>(~calm(X)&~patient(X))))&
(![X]:((~creative(X)<~>old(X))<=>(patient(X)<~>~humble(X))))&
(![X]:((generous(X)&~kind(X))=>(creative(X)<~>happy(X))))&
(![X]:((strong(X)<~>~tall(X))<=>~happy(X)))&
(![X]:((happy(X)&creative(X))=>(curious(X)|~tall(X))))&
... | tall(lucy) | [
"p1",
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 486010956688763408320962
% SZS output start Proof for 486010956688763408320962
2. ! [X0] : ((rich(X0) | tall(X0)) => (~patient(X0) & ~calm(X0))) [input p1]
3. ! [X0] : ((~creative(X0) <~> old(X0)) <=> (patient(X0) <~> ~humble(X0))) [input p2]
10. ? [X0] : (~kind(X0) | ~patient(X0)) => ~cr... | 0 |
Everyone who is humble is brave or not humble. If someone is both not strong and calm then someone is both wise and not old. Everyone who is either kind or tall is either calm or rich. If lucy is not strong then john is both not kind and tall and vice versa. Everyone who is either not generous or strong is either not h... | Susan is not strong. | neutral | (![X]:(humble(X)=>(brave(X)|~humble(X))))&
((?[X]:((~strong(X)&calm(X))))=>(?[X]:((wise(X)&~old(X)))))&
(![X]:((kind(X)<~>tall(X))=>(calm(X)<~>rich(X))))&
((~strong(lucy))<=>((~kind(john)&tall(john))))&
(![X]:((~generous(X)<~>strong(X))<=>(~humble(X)<~>~wise(X))))&
(![X]:((~kind(X)|wise(X))<=>(~funny(X)<~>happy(X))))&
... | ~strong(susan) | [] | null | 0 |
Everyone who is either funny or not creative is funny or not calm.
Everyone who is either not generous or curious is patient or happy.
If someone is not patient then someone is both not strong and kind and vice versa.
Everyone who is both not calm and rich is happy and vice versa.
If someone is generous then lucy is no... | Lucy is generous. | contradiction | (![X]:((funny(X)<~>~creative(X))=>(funny(X)|~calm(X))))&
(![X]:((~generous(X)<~>curious(X))=>(patient(X)|happy(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~strong(X)&kind(X)))))&
(![X]:((~calm(X)&rich(X))<=>happy(X)))&
((?[X]:(generous(X)))<=>(~quiet(lucy)))&
(((curious(lucy)|~old(lucy)))=>((~creative(mary)|~humble(mary))))... | generous(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5463308044550173769987050
% SZS output start Proof for 5463308044550173769987050
21. ~generous(lucy) & ~wise(lucy) [input p20]
25. generous(lucy) [input hypothesis]
28. ~generous(lucy) [pure predicate removal 21]
134. ~generous(lucy) [cnf transformation 28]
141. generous(lucy) [cnf transf... | 0 |
If lucy is both not happy and not old then john is funny or patient and vice versa.
If someone is either generous or not old then someone is not generous and vice versa.
Everyone who is either not generous or quiet is not wise or not kind and vice versa.
Everyone who is not funny is both not tall and brave.
Everyone wh... | Alice is tall. | neutral | (((~happy(lucy)&~old(lucy)))<=>((funny(john)|patient(john))))&
((?[X]:((generous(X)<~>~old(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~generous(X)<~>quiet(X))<=>(~wise(X)|~kind(X))))&
(![X]:(~funny(X)=>(~tall(X)&brave(X))))&
(![X]:((strong(X)&~generous(X))<=>(calm(X)|~old(X))))&
(![X]:((brave(X)|~rich(X))=>(generous(X)|ol... | tall(alice) | [] | null | 0 |
Everyone who is strong is both not humble and calm.
If alice is both not kind and strong then mary is either not brave or strong and vice versa.
Everyone who is both tall and not creative is not humble or curious and vice versa.
Everyone who is not quiet is either curious or rich and vice versa.
Everyone who is either ... | Paul is not tall. | contradiction | (![X]:(strong(X)=>(~humble(X)&calm(X))))&
(((~kind(alice)&strong(alice)))<=>((~brave(mary)<~>strong(mary))))&
(![X]:((tall(X)&~creative(X))<=>(~humble(X)|curious(X))))&
(![X]:(~quiet(X)<=>(curious(X)<~>rich(X))))&
(![X]:((~funny(X)<~>humble(X))<=>~strong(X)))&
((?[X]:((~curious(X)&generous(X))))<=>(?[X]:((~creative(X)<... | ~tall(paul) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7994073997376984703344811
% SZS output start Proof for 7994073997376984703344811
3. ! [X0] : ((~creative(X0) & tall(X0)) <=> (curious(X0) | ~humble(X0))) [input p2]
16. ! [X0] : ((tall(X0) & brave(X0)) <=> (generous(X0) | humble(X0))) [input p15]
25. ~tall(paul) [input hypothesis]
39. ! [... | 0 |
If mary is both not humble and not wise then mary is rich and vice versa.
If susan is both brave and calm then someone is either not strong or not brave and vice versa.
If mary is wise then paul is either not brave or rich.
Everyone who is both happy and rich is either not old or not happy.
If someone is either not old... | Susan is not kind. | neutral | (((~humble(mary)&~wise(mary)))<=>(rich(mary)))&
(((brave(susan)&calm(susan)))<=>(?[X]:((~strong(X)<~>~brave(X)))))&
((wise(mary))=>((~brave(paul)<~>rich(paul))))&
(![X]:((happy(X)&rich(X))=>(~old(X)<~>~happy(X))))&
((?[X]:((~old(X)<~>~kind(X))))<=>((~humble(john)<~>brave(john))))&
(((~creative(alice)<~>~old(alice)))<=>... | ~kind(susan) | [] | null | 0 |
Everyone who is happy is quiet. If someone is calm then paul is both strong and tall. Everyone who is either curious or patient is not funny and vice versa. If john is either not brave or not calm then someone is both quiet and not happy and vice versa. Everyone who is both tall and generous is either humble or not cre... | John is patient. | entailment | (![X]:(happy(X)=>quiet(X)))&
((?[X]:(calm(X)))=>((strong(paul)&tall(paul))))&
(![X]:((curious(X)<~>patient(X))<=>~funny(X)))&
(((~brave(john)<~>~calm(john)))<=>(?[X]:((quiet(X)&~happy(X)))))&
(![X]:((tall(X)&generous(X))<=>(humble(X)<~>~creative(X))))&
((?[X]:((calm(X)|~old(X))))=>(?[X]:((brave(X)<~>patient(X)))))&
(![... | patient(john) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2756556810756934060721828
% SZS output start Proof for 2756556810756934060721828
8. ! [X0] : ((funny(X0) & strong(X0)) <=> ~funny(X0)) [input p7]
9. ! [X0] : (patient(X0) <=> (~funny(X0) | funny(X0))) [input p8]
23. ~patient(john) [input hypothesis]
48. ! [X0] : (((funny(X0) & strong(X0))... | 0 |
If someone is rich then someone is kind or not generous.
Everyone who is both strong and curious is either strong or quiet.
Everyone who is not generous is wise and vice versa.
If someone is curious or funny then paul is kind.
If someone is not happy or kind then susan is both kind and curious.
If someone is not brave ... | Paul is not old. | neutral | ((?[X]:(rich(X)))=>(?[X]:((kind(X)|~generous(X)))))&
(![X]:((strong(X)&curious(X))=>(strong(X)<~>quiet(X))))&
(![X]:(~generous(X)<=>wise(X)))&
((?[X]:((curious(X)|funny(X))))=>(kind(paul)))&
((?[X]:((~happy(X)|kind(X))))=>((kind(susan)&curious(susan))))&
((?[X]:(~brave(X)))=>(?[X]:((brave(X)|old(X)))))&
(![X]:((~strong... | ~old(paul) | [] | null | 0 |
If susan is old then someone is both happy and patient.
Everyone who is both not funny and not patient is both not kind and old and vice versa.
Everyone who is not humble is both funny and curious.
Everyone who is not generous or funny is both not creative and not quiet.
Everyone who is brave or curious is not humble o... | Paul is curious. | contradiction | ((old(susan))=>(?[X]:((happy(X)&patient(X)))))&
(![X]:((~funny(X)&~patient(X))<=>(~kind(X)&old(X))))&
(![X]:(~humble(X)=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(X)|happy(X))))&
(((strong(john)|~... | curious(paul) | [
"p3",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5321638435098496247323477
% SZS output start Proof for 5321638435098496247323477
4. ! [X0] : ((funny(X0) | ~generous(X0)) => (~quiet(X0) & ~creative(X0))) [input p3]
9. ? [X0] : curious(X0) => (generous(alice) & creative(alice)) [input p8]
10. ! [X0] : (~funny(X0) <=> (patient(X0) & ~wise... | 0 |
If someone is generous or not tall then someone is rich.
Everyone who is not kind or generous is generous and vice versa.
Everyone who is either old or kind is not wise or rich and vice versa.
If john is either humble or not strong then paul is both rich and not funny.
If mary is not generous then someone is either cal... | Alice is not old. | entailment | ((?[X]:((generous(X)|~tall(X))))=>(?[X]:(rich(X))))&
(![X]:((~kind(X)|generous(X))<=>generous(X)))&
(![X]:((old(X)<~>kind(X))<=>(~wise(X)|rich(X))))&
(((humble(john)<~>~strong(john)))=>((rich(paul)&~funny(paul))))&
((~generous(mary))=>(?[X]:((calm(X)<~>humble(X)))))&
(((quiet(alice)<~>tall(alice)))<=>(?[X]:((wise(X)<~>... | ~old(alice) | [
"p1",
"p2",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4343912345461320171312695
% SZS output start Proof for 4343912345461320171312695
2. ! [X0] : ((generous(X0) | ~kind(X0)) <=> generous(X0)) [input p1]
3. ! [X0] : ((old(X0) <~> kind(X0)) <=> (rich(X0) | ~wise(X0))) [input p2]
11. ? [X0] : (~generous(X0) & ~happy(X0)) <=> ? [X0] : (old(X0) ... | 0 |
If someone is both not rich and calm then lucy is both curious and funny and vice versa.
If alice is old then mary is both not humble and not creative and vice versa.
Everyone who is either generous or not wise is not calm and vice versa.
Everyone who is either not creative or not patient is not curious and vice versa.... | Paul is curious. | contradiction | ((?[X]:((~rich(X)&calm(X))))<=>((curious(lucy)&funny(lucy))))&
((old(alice))<=>((~humble(mary)&~creative(mary))))&
(![X]:((generous(X)<~>~wise(X))<=>~calm(X)))&
(![X]:((~creative(X)<~>~patient(X))<=>~curious(X)))&
(![X]:(quiet(X)<=>(curious(X)<~>~strong(X))))&
(((~curious(john)<~>creative(john)))=>(?[X]:((~patient(X)|r... | curious(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8191117652279990552569318
% SZS output start Proof for 8191117652279990552569318
22. ~curious(paul) [input p21]
25. curious(paul) [input hypothesis]
136. ~curious(paul) [cnf transformation 22]
139. curious(paul) [cnf transformation 25]
302. $false [subsumption resolution 139,136]
% SZS ou... | 0 |
Everyone who is not patient or happy is not wise or not humble. Everyone who is not strong or not rich is both tall and not funny. If someone is either curious or not quiet then someone is happy. Everyone who is either not generous or quiet is either not tall or calm. If alice is happy then someone is strong or not cre... | Susan is rich. | entailment | (![X]:((~patient(X)|happy(X))=>(~wise(X)|~humble(X))))&
(![X]:((~strong(X)|~rich(X))=>(tall(X)&~funny(X))))&
((?[X]:((curious(X)<~>~quiet(X))))=>(?[X]:(happy(X))))&
(![X]:((~generous(X)<~>quiet(X))=>(~tall(X)<~>calm(X))))&
((happy(alice))<=>(?[X]:((strong(X)|~creative(X)))))&
(![X]:((~creative(X)&~humble(X))<=>(~creati... | rich(susan) | [
"p1",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2997402714060945032257795
% SZS output start Proof for 2997402714060945032257795
2. ! [X0] : ((~rich(X0) | ~strong(X0)) => (~funny(X0) & tall(X0))) [input p1]
10. ! [X0] : ((~tall(X0) & calm(X0)) <=> (generous(X0) | ~humble(X0))) [input p9]
11. rich(susan) <=> ? [X0] : (~generous(X0) | br... | 0 |
If someone is not patient or not creative then susan is both tall and humble and vice versa. Everyone who is happy is strong or not quiet. If paul is strong or not tall then someone is not funny. If alice is happy or old then mary is patient and vice versa. Everyone who is not strong is either not strong or not quiet a... | Fred is not old. | neutral | ((?[X]:((~patient(X)|~creative(X))))<=>((tall(susan)&humble(susan))))&
(![X]:(happy(X)=>(strong(X)|~quiet(X))))&
(((strong(paul)|~tall(paul)))=>(?[X]:(~funny(X))))&
(((happy(alice)|old(alice)))<=>(patient(mary)))&
(![X]:(~strong(X)<=>(~strong(X)<~>~quiet(X))))&
(![X]:((~brave(X)&~tall(X))<=>generous(X)))&
((?[X]:(~stro... | ~old(fred) | [] | null | 0 |
If someone is either not calm or funny then someone is either not happy or old.
If fred is wise then paul is either creative or not tall and vice versa.
Everyone who is wise or not rich is both not creative and funny.
Everyone who is both funny and wise is not curious or not rich.
Everyone who is not generous or not br... | Lucy is creative. | entailment | ((?[X]:((~calm(X)<~>funny(X))))=>(?[X]:((~happy(X)<~>old(X)))))&
((wise(fred))<=>((creative(paul)<~>~tall(paul))))&
(![X]:((wise(X)|~rich(X))=>(~creative(X)&funny(X))))&
(![X]:((funny(X)&wise(X))=>(~curious(X)|~rich(X))))&
(![X]:((~generous(X)|~brave(X))<=>(~curious(X)<~>brave(X))))&
(![X]:(wise(X)=>(~brave(X)|quiet(X)... | creative(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3388552542744513809670348
% SZS output start Proof for 3388552542744513809670348
18. creative(lucy) [input p17]
24. ~creative(lucy) [input hypothesis]
117. creative(lucy) [cnf transformation 18]
127. ~creative(lucy) [cnf transformation 24]
271. $false [subsumption resolution 127,117]
% SZ... | 0 |
If mary is either not tall or funny then someone is either strong or not humble and vice versa.
If someone is both not quiet and not rich then someone is kind and vice versa.
Everyone who is either not creative or not curious is not kind or rich and vice versa.
Everyone who is not quiet is both old and happy and vice v... | Mary is curious. | entailment | (((~tall(mary)<~>funny(mary)))<=>(?[X]:((strong(X)<~>~humble(X)))))&
((?[X]:((~quiet(X)&~rich(X))))<=>(?[X]:(kind(X))))&
(![X]:((~creative(X)<~>~curious(X))<=>(~kind(X)|rich(X))))&
(![X]:(~quiet(X)<=>(old(X)&happy(X))))&
((?[X]:(creative(X)))<=>((creative(lucy)&humble(lucy))))&
(((curious(fred)|humble(fred)))=>(?[X]:((... | curious(mary) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6687628240800666409621081
% SZS output start Proof for 6687628240800666409621081
21. happy(mary) & curious(mary) [input p20]
25. ~curious(mary) [input hypothesis]
157. curious(mary) [cnf transformation 21]
163. ~curious(mary) [cnf transformation 25]
375. $false [subsumption resolution 163... | 0 |
If someone is both curious and wise then alice is either old or not kind. Everyone who is kind is not brave and vice versa. If someone is creative or curious then someone is both strong and rich and vice versa. If alice is either patient or old then someone is humble or not humble. If someone is both funny and not tall... | Lucy is not old. | neutral | ((?[X]:((curious(X)&wise(X))))=>((old(alice)<~>~kind(alice))))&
(![X]:(kind(X)<=>~brave(X)))&
((?[X]:((creative(X)|curious(X))))<=>(?[X]:((strong(X)&rich(X)))))&
(((patient(alice)<~>old(alice)))=>(?[X]:((humble(X)|~humble(X)))))&
((?[X]:((funny(X)&~tall(X))))=>((generous(lucy)&curious(lucy))))&
(![X]:((calm(X)<~>~happy... | ~old(lucy) | [] | null | 0 |
If alice is not creative or not quiet then mary is creative and vice versa.
Everyone who is both patient and brave is tall or not curious and vice versa.
If lucy is brave or old then someone is either rich or not curious and vice versa.
Everyone who is rich is either generous or quiet and vice versa.
If someone is calm... | Paul is not kind. | contradiction | (((~creative(alice)|~quiet(alice)))<=>(creative(mary)))&
(![X]:((patient(X)&brave(X))<=>(tall(X)|~curious(X))))&
(((brave(lucy)|old(lucy)))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(![X]:(rich(X)<=>(generous(X)<~>quiet(X))))&
((?[X]:((calm(X)|~wise(X))))=>(?[X]:(tall(X))))&
(![X]:(~strong(X)=>(strong(X)&~quiet(X))))&
((~ri... | ~kind(paul) | [
"p1",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2894097385399940110578596
% SZS output start Proof for 2894097385399940110578596
2. ! [X0] : ((brave(X0) & patient(X0)) <=> (~curious(X0) | tall(X0))) [input p1]
6. ! [X0] : (~strong(X0) => (~quiet(X0) & strong(X0))) [input p5]
10. ! [X0] : ((~kind(X0) & strong(X0)) <=> ~patient(X0)) [inp... | 0 |
Everyone who is either kind or not brave is tall.
If susan is both not happy and strong then fred is not old.
If someone is not humble or not quiet then someone is both strong and not wise and vice versa.
Everyone who is brave is not happy or patient and vice versa.
If someone is happy or kind then someone is not wise ... | Mary is old. | neutral | (![X]:((kind(X)<~>~brave(X))=>tall(X)))&
(((~happy(susan)&strong(susan)))=>(~old(fred)))&
((?[X]:((~humble(X)|~quiet(X))))<=>(?[X]:((strong(X)&~wise(X)))))&
(![X]:(brave(X)<=>(~happy(X)|patient(X))))&
((?[X]:((happy(X)|kind(X))))<=>(?[X]:(~wise(X))))&
(![X]:((curious(X)<~>calm(X))<=>~quiet(X)))&
(![X]:((~patient(X)<~>h... | old(mary) | [] | null | 0 |
Everyone who is not generous or not quiet is either not wise or not kind.
Everyone who is either curious or quiet is not strong and vice versa.
Everyone who is both not strong and wise is both not old and not kind.
If someone is not old then lucy is not generous or kind and vice versa.
Everyone who is either tall or ol... | Lucy is not generous. | neutral | (![X]:((~generous(X)|~quiet(X))=>(~wise(X)<~>~kind(X))))&
(![X]:((curious(X)<~>quiet(X))<=>~strong(X)))&
(![X]:((~strong(X)&wise(X))=>(~old(X)&~kind(X))))&
((?[X]:(~old(X)))<=>((~generous(lucy)|kind(lucy))))&
(![X]:((tall(X)<~>old(X))=>(~generous(X)<~>old(X))))&
(![X]:((~calm(X)&~strong(X))=>(~generous(X)|strong(X))))&... | ~generous(lucy) | [] | null | 0 |
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