premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not wise and brave is either patient or brave and vice versa.
Everyone who is strong or old is not calm.
Everyone who is both curious and not wise is calm.
Everyone who is not calm or not generous is not creative.
If someone is wise then john is either patient or not patient.
If susan is not strong... | Mary is wise. | contradiction | (![X]:((~wise(X)&brave(X))<=>(patient(X)<~>brave(X))))&
(![X]:((strong(X)|old(X))=>~calm(X)))&
(![X]:((curious(X)&~wise(X))=>calm(X)))&
(![X]:((~calm(X)|~generous(X))=>~creative(X)))&
((?[X]:(wise(X)))=>((patient(john)<~>~patient(john))))&
((~strong(susan))<=>(?[X]:((funny(X)&patient(X)))))&
((~funny(mary))=>((humble(j... | wise(mary) | [
"p0",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6433330320979590046645293
% SZS output start Proof for 6433330320979590046645293
1. ! [X0] : ((brave(X0) & ~wise(X0)) <=> (patient(X0) <~> brave(X0))) [input p0]
18. ~brave(mary) <~> ~patient(mary) [input p17]
24. wise(mary) [input hypothesis]
45. ! [X0] : (((brave(X0) & ~wise(X0)) | ((pa... | 0 |
Everyone who is kind or tall is both not rich and kind.
Everyone who is rich is both old and not generous and vice versa.
Everyone who is not old or kind is either patient or not rich.
Everyone who is not strong or not kind is both not strong and quiet and vice versa.
Everyone who is kind is patient.
If lucy is calm or... | John is happy. | neutral | (![X]:((kind(X)|tall(X))=>(~rich(X)&kind(X))))&
(![X]:(rich(X)<=>(old(X)&~generous(X))))&
(![X]:((~old(X)|kind(X))=>(patient(X)<~>~rich(X))))&
(![X]:((~strong(X)|~kind(X))<=>(~strong(X)&quiet(X))))&
(![X]:(kind(X)=>patient(X)))&
(((calm(lucy)|~happy(lucy)))=>((~strong(alice)|rich(alice))))&
(![X]:((~wise(X)|patient(X))... | happy(john) | [] | null | 0 |
If someone is both creative and rich then mary is either curious or tall and vice versa. If paul is not wise or patient then susan is both generous and not rich. Everyone who is generous or creative is either brave or happy and vice versa. Everyone who is not brave is either strong or not brave and vice versa. Everyone... | Mary is calm. | neutral | ((?[X]:((creative(X)&rich(X))))<=>((curious(mary)<~>tall(mary))))&
(((~wise(paul)|patient(paul)))=>((generous(susan)&~rich(susan))))&
(![X]:((generous(X)|creative(X))<=>(brave(X)<~>happy(X))))&
(![X]:(~brave(X)<=>(strong(X)<~>~brave(X))))&
(![X]:((~patient(X)|~humble(X))<=>(creative(X)|~brave(X))))&
((~generous(paul))=... | calm(mary) | [] | null | 0 |
Everyone who is not brave is either kind or curious.
If mary is rich or not wise then someone is both patient and not tall.
If someone is tall then susan is curious.
If someone is not brave or generous then alice is either not old or not tall and vice versa.
If fred is both tall and not kind then susan is creative and ... | Susan is not patient. | neutral | (![X]:(~brave(X)=>(kind(X)<~>curious(X))))&
(((rich(mary)|~wise(mary)))=>(?[X]:((patient(X)&~tall(X)))))&
((?[X]:(tall(X)))=>(curious(susan)))&
((?[X]:((~brave(X)|generous(X))))<=>((~old(alice)<~>~tall(alice))))&
(((tall(fred)&~kind(fred)))<=>(creative(susan)))&
(![X]:(happy(X)=>~quiet(X)))&
(![X]:((patient(X)&kind(X))... | ~patient(susan) | [] | null | 0 |
Everyone who is creative is either not rich or patient and vice versa. If someone is both not calm and curious then fred is both patient and not happy. Everyone who is patient or not rich is either wise or curious and vice versa. Everyone who is both not old and curious is both quiet and not brave and vice versa. If so... | Paul is not tall. | entailment | (![X]:(creative(X)<=>(~rich(X)<~>patient(X))))&
((?[X]:((~calm(X)&curious(X))))=>((patient(fred)&~happy(fred))))&
(![X]:((patient(X)|~rich(X))<=>(wise(X)<~>curious(X))))&
(![X]:((~old(X)&curious(X))<=>(quiet(X)&~brave(X))))&
((?[X]:((~patient(X)<~>calm(X))))=>(?[X]:(~brave(X))))&
((?[X]:((curious(X)|~patient(X))))<=>((... | ~tall(paul) | [
"p0",
"p3",
"p5",
"p8",
"p9",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2700889332962870960589781
% SZS output start Proof for 2700889332962870960589781
1. ! [X0] : (creative(X0) <=> (~rich(X0) <~> patient(X0))) [input p0]
4. ! [X0] : ((curious(X0) & ~old(X0)) <=> (~brave(X0) & quiet(X0))) [input p3]
6. ? [X0] : (~patient(X0) | curious(X0)) <=> (~tall(paul) &... | 0 |
If someone is patient or not rich then susan is not old. Everyone who is either not kind or funny is either old or rich and vice versa. Everyone who is both not humble and not quiet is humble or not patient and vice versa. Everyone who is rich or old is not kind and vice versa. If susan is strong then john is both not ... | Paul is not rich. | contradiction | ((?[X]:((patient(X)|~rich(X))))=>(~old(susan)))&
(![X]:((~kind(X)<~>funny(X))<=>(old(X)<~>rich(X))))&
(![X]:((~humble(X)&~quiet(X))<=>(humble(X)|~patient(X))))&
(![X]:((rich(X)|old(X))<=>~kind(X)))&
((strong(susan))<=>((~rich(john)&~generous(john))))&
(![X]:((tall(X)&~quiet(X))<=>(old(X)|happy(X))))&
(![X]:(curious(X)=... | ~rich(paul) | [
"p1",
"p3",
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3701161222367329533837839
% SZS output start Proof for 3701161222367329533837839
2. ! [X0] : ((~kind(X0) <~> funny(X0)) <=> (old(X0) <~> rich(X0))) [input p1]
4. ! [X0] : ((old(X0) | rich(X0)) <=> ~kind(X0)) [input p3]
7. ! [X0] : (curious(X0) => (~curious(X0) & ~old(X0))) [input p6]
11. ... | 0 |
If someone is either wise or brave then paul is brave and vice versa. If mary is calm or not patient then alice is calm. If lucy is calm then john is creative or happy and vice versa. Everyone who is not kind or patient is old and vice versa. Everyone who is not quiet or patient is brave or rich and vice versa. If paul... | Paul is not quiet. | entailment | ((?[X]:((wise(X)<~>brave(X))))<=>(brave(paul)))&
(((calm(mary)|~patient(mary)))=>(calm(alice)))&
((calm(lucy))<=>((creative(john)|happy(john))))&
(![X]:((~kind(X)|patient(X))<=>old(X)))&
(![X]:((~quiet(X)|patient(X))<=>(brave(X)|rich(X))))&
((~wise(paul))=>(?[X]:(kind(X))))&
(![X]:((~happy(X)<~>kind(X))=>(~generous(X)<... | ~quiet(paul) | [
"p0",
"p3",
"p4",
"p5",
"p11",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2596206445511442412490427
% SZS output start Proof for 2596206445511442412490427
1. ? [X0] : (wise(X0) <~> brave(X0)) <=> brave(paul) [input p0]
4. ! [X0] : ((patient(X0) | ~kind(X0)) <=> old(X0)) [input p3]
5. ! [X0] : ((patient(X0) | ~quiet(X0)) <=> (rich(X0) | brave(X0))) [input p4]
6.... | 0 |
Everyone who is happy or wise is both not calm and not happy and vice versa. If alice is either humble or not funny then someone is wise. Everyone who is not tall or wise is kind or not rich. Everyone who is not old or not generous is not calm and vice versa. If lucy is both curious and not calm then lucy is not old or... | Mary is strong. | neutral | (![X]:((happy(X)|wise(X))<=>(~calm(X)&~happy(X))))&
(((humble(alice)<~>~funny(alice)))=>(?[X]:(wise(X))))&
(![X]:((~tall(X)|wise(X))=>(kind(X)|~rich(X))))&
(![X]:((~old(X)|~generous(X))<=>~calm(X)))&
(((curious(lucy)&~calm(lucy)))<=>((~old(lucy)|~kind(lucy))))&
(![X]:((~kind(X)<~>tall(X))<=>(creative(X)|curious(X))))&
... | strong(mary) | [] | null | 0 |
Everyone who is both not quiet and generous is not happy or creative and vice versa.
Everyone who is calm is quiet and vice versa.
Everyone who is tall is either not happy or funny.
Everyone who is either brave or not patient is patient.
Everyone who is both quiet and humble is not creative or generous.
Everyone who is... | John is patient. | entailment | (![X]:((~quiet(X)&generous(X))<=>(~happy(X)|creative(X))))&
(![X]:(calm(X)<=>quiet(X)))&
(![X]:(tall(X)=>(~happy(X)<~>funny(X))))&
(![X]:((brave(X)<~>~patient(X))=>patient(X)))&
(![X]:((quiet(X)&humble(X))=>(~creative(X)|generous(X))))&
(![X]:(tall(X)<=>~humble(X)))&
(![X]:(generous(X)<=>(wise(X)<~>happy(X))))&
(![X]:(... | patient(john) | [
"p0",
"p1",
"p3",
"p8",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8654770945584724104173105
% SZS output start Proof for 8654770945584724104173105
1. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> (creative(X0) | ~happy(X0))) [input p0]
2. ! [X0] : (calm(X0) <=> quiet(X0)) [input p1]
4. ! [X0] : ((brave(X0) <~> ~patient(X0)) => patient(X0)) [input p3]
9. ! [... | 0 |
Everyone who is both not wise and humble is not creative or happy and vice versa. Everyone who is either not generous or not old is not kind or not generous and vice versa. Everyone who is humble is either kind or funny and vice versa. Everyone who is either rich or generous is not brave. If someone is either not curio... | Fred is kind. | entailment | (![X]:((~wise(X)&humble(X))<=>(~creative(X)|happy(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(~kind(X)|~generous(X))))&
(![X]:(humble(X)<=>(kind(X)<~>funny(X))))&
(![X]:((rich(X)<~>generous(X))=>~brave(X)))&
((?[X]:((~curious(X)<~>kind(X))))<=>(~old(john)))&
(![X]:(calm(X)<=>rich(X)))&
(![X]:(calm(X)<=>(strong(X)<~>~tall... | kind(fred) | [
"p1",
"p4",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9151174612763566571763154
% SZS output start Proof for 9151174612763566571763154
2. ! [X0] : ((~generous(X0) <~> ~old(X0)) <=> (~generous(X0) | ~kind(X0))) [input p1]
5. ? [X0] : (~curious(X0) <~> kind(X0)) <=> ~old(john) [input p4]
8. ! [X0] : (old(X0) <=> generous(X0)) [input p7]
23. ~c... | 0 |
Everyone who is creative or not happy is both not tall and calm and vice versa.
Everyone who is not curious is either not happy or not brave and vice versa.
Everyone who is curious is not generous or not creative.
Everyone who is either not calm or not brave is both patient and not kind.
Everyone who is not patient is ... | John is not creative. | neutral | (![X]:((creative(X)|~happy(X))<=>(~tall(X)&calm(X))))&
(![X]:(~curious(X)<=>(~happy(X)<~>~brave(X))))&
(![X]:(curious(X)=>(~generous(X)|~creative(X))))&
(![X]:((~calm(X)<~>~brave(X))=>(patient(X)&~kind(X))))&
(![X]:(~patient(X)<=>(~wise(X)<~>humble(X))))&
((?[X]:((~happy(X)<~>~strong(X))))=>(funny(alice)))&
(![X]:(~fun... | ~creative(john) | [] | null | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is old is either happy or not creative.
Everyone who is both old and not happy is generous or not rich and vice versa.
Everyone who is either not tall or not wise is either patient or tall and vice versa.
Everyone who is rich or curio... | Paul is happy. | entailment | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
(![X]:((~tall(X)<~>~wise(X))<=>(patient(X)<~>tall(X))))&
(![X]:((rich(X)|curious(X))=>happy(X)))&
(![X]:(patient(X)<=>(happy(X)<~>creative(X))))&
(![X]:((~kind(X)&~generous... | happy(paul) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1063423313057166233784494
% SZS output start Proof for 1063423313057166233784494
2. ! [X0] : (old(X0) => (happy(X0) <~> ~creative(X0))) [input p1]
3. ! [X0] : ((~happy(X0) & old(X0)) <=> (~rich(X0) | generous(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> ~wise(X0)) <=> (patient(X0) <~> tal... | 0 |
Everyone who is both patient and not happy is not tall and vice versa. Everyone who is not kind or not strong is happy or not creative and vice versa. Everyone who is humble is old. Everyone who is calm or tall is either not strong or rich and vice versa. Everyone who is strong or tall is creative or not calm. Everyone... | Paul is funny. | neutral | (![X]:((patient(X)&~happy(X))<=>~tall(X)))&
(![X]:((~kind(X)|~strong(X))<=>(happy(X)|~creative(X))))&
(![X]:(humble(X)=>old(X)))&
(![X]:((calm(X)|tall(X))<=>(~strong(X)<~>rich(X))))&
(![X]:((strong(X)|tall(X))=>(creative(X)|~calm(X))))&
(![X]:((tall(X)&~quiet(X))<=>(~curious(X)&calm(X))))&
(((~tall(paul)&calm(paul)))<=... | funny(paul) | [] | null | 0 |
Everyone who is not funny is both funny and not creative and vice versa.
If someone is not brave then susan is rich and vice versa.
Everyone who is both not happy and quiet is brave and vice versa.
If susan is generous or not tall then susan is both rich and wise and vice versa.
Everyone who is both not quiet and not c... | Paul is creative. | entailment | (![X]:(~funny(X)<=>(funny(X)&~creative(X))))&
((?[X]:(~brave(X)))<=>(rich(susan)))&
(![X]:((~happy(X)&quiet(X))<=>brave(X)))&
(((generous(susan)|~tall(susan)))<=>((rich(susan)&wise(susan))))&
(![X]:((~quiet(X)&~creative(X))<=>(calm(X)<~>creative(X))))&
((?[X]:(happy(X)))<=>((calm(paul)|creative(paul))))&
((patient(paul... | creative(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4704895272530539395838458
% SZS output start Proof for 4704895272530539395838458
1. ! [X0] : (~funny(X0) <=> (~creative(X0) & funny(X0))) [input p0]
22. ~creative(paul) [input hypothesis]
29. ! [X0] : ((~funny(X0) | (creative(X0) | ~funny(X0))) & ((~creative(X0) & funny(X0)) | funny(X0)))... | 0 |
If someone is either not quiet or creative then someone is both not humble and not creative.
Everyone who is both wise and old is not quiet.
If someone is not creative then someone is either not happy or not humble.
If mary is not patient then paul is tall.
Everyone who is not humble is either kind or not funny and vic... | John is not strong. | neutral | ((?[X]:((~quiet(X)<~>creative(X))))=>(?[X]:((~humble(X)&~creative(X)))))&
(![X]:((wise(X)&old(X))=>~quiet(X)))&
((?[X]:(~creative(X)))=>(?[X]:((~happy(X)<~>~humble(X)))))&
((~patient(mary))=>(tall(paul)))&
(![X]:(~humble(X)<=>(kind(X)<~>~funny(X))))&
(![X]:((old(X)|~humble(X))=>(happy(X)|kind(X))))&
(![X]:(~generous(X)... | ~strong(john) | [] | null | 0 |
Everyone who is not curious or calm is both quiet and happy. Everyone who is either patient or not happy is not generous or strong and vice versa. Everyone who is either funny or not humble is rich. If someone is not strong then someone is not quiet or old and vice versa. If john is either not strong or rich then someo... | Lucy is generous. | contradiction | (![X]:((~curious(X)|calm(X))=>(quiet(X)&happy(X))))&
(![X]:((patient(X)<~>~happy(X))<=>(~generous(X)|strong(X))))&
(![X]:((funny(X)<~>~humble(X))=>rich(X)))&
((?[X]:(~strong(X)))<=>(?[X]:((~quiet(X)|old(X)))))&
(((~strong(john)<~>rich(john)))<=>(?[X]:(old(X))))&
(![X]:((generous(X)&~old(X))<=>(~humble(X)&~generous(X)))... | generous(lucy) | [
"p3",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 306144860355847189590688
% SZS output start Proof for 306144860355847189590688
4. ? [X0] : ~strong(X0) <=> ? [X0] : (old(X0) | ~quiet(X0)) [input p3]
6. ! [X0] : ((~old(X0) & generous(X0)) <=> (~generous(X0) & ~humble(X0))) [input p5]
13. ! [X0] : (~strong(X0) => strong(X0)) [input p12]
2... | 0 |
If someone is both funny and tall then fred is calm or strong.
Everyone who is not rich or not funny is both not happy and not patient.
If lucy is not patient then someone is not wise and vice versa.
If someone is not tall or generous then someone is both not generous and kind and vice versa.
Everyone who is both not q... | Mary is curious. | contradiction | ((?[X]:((funny(X)&tall(X))))=>((calm(fred)|strong(fred))))&
(![X]:((~rich(X)|~funny(X))=>(~happy(X)&~patient(X))))&
((~patient(lucy))<=>(?[X]:(~wise(X))))&
((?[X]:((~tall(X)|generous(X))))<=>(?[X]:((~generous(X)&kind(X)))))&
(![X]:((~quiet(X)&~calm(X))=>(~strong(X)<~>generous(X))))&
(![X]:((quiet(X)<~>funny(X))=>~tall(... | curious(mary) | [
"p5",
"p9",
"p10",
"p13",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1188504573759392717981
% SZS output start Proof for 1188504573759392717981
6. ! [X0] : ((quiet(X0) <~> funny(X0)) => ~tall(X0)) [input p5]
10. ! [X0] : ((tall(X0) <~> ~curious(X0)) => (funny(X0) & ~old(X0))) [input p9]
11. ! [X0] : ((~happy(X0) | patient(X0)) <=> brave(X0)) [input p10]
14... | 0 |
If someone is either not humble or not old then alice is both not tall and happy.
If someone is either happy or not old then susan is either not strong or patient and vice versa.
Everyone who is not patient or not happy is either rich or old and vice versa.
Everyone who is quiet or kind is calm and vice versa.
Everyone... | Alice is not brave. | contradiction | ((?[X]:((~humble(X)<~>~old(X))))=>((~tall(alice)&happy(alice))))&
((?[X]:((happy(X)<~>~old(X))))<=>((~strong(susan)<~>patient(susan))))&
(![X]:((~patient(X)|~happy(X))<=>(rich(X)<~>old(X))))&
(![X]:((quiet(X)|kind(X))<=>calm(X)))&
(![X]:((wise(X)|humble(X))<=>(humble(X)|~curious(X))))&
(![X]:((curious(X)|~strong(X))<=>... | ~brave(alice) | [
"p3",
"p5",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7946087647330647375289106
% SZS output start Proof for 7946087647330647375289106
4. ! [X0] : ((kind(X0) | quiet(X0)) <=> calm(X0)) [input p3]
6. ! [X0] : ((~strong(X0) | curious(X0)) <=> (~old(X0) & creative(X0))) [input p5]
11. ? [X0] : (~old(X0) | ~happy(X0)) => (tall(alice) & brave(ali... | 0 |
Everyone who is not humble or not old is not wise or wise and vice versa.
If someone is either happy or brave then someone is funny and vice versa.
Everyone who is not old is creative and vice versa.
If someone is both brave and not brave then someone is curious and vice versa.
Everyone who is patient or creative is bo... | Lucy is quiet. | neutral | (![X]:((~humble(X)|~old(X))<=>(~wise(X)|wise(X))))&
((?[X]:((happy(X)<~>brave(X))))<=>(?[X]:(funny(X))))&
(![X]:(~old(X)<=>creative(X)))&
((?[X]:((brave(X)&~brave(X))))<=>(?[X]:(curious(X))))&
(![X]:((patient(X)|creative(X))=>(~patient(X)&funny(X))))&
(![X]:((tall(X)<~>~tall(X))=>(~kind(X)<~>~funny(X))))&
(![X]:((~gene... | quiet(lucy) | [] | null | 0 |
If paul is both curious and not tall then someone is not creative or not curious and vice versa. If someone is old or rich then john is either creative or curious. If susan is both not curious and not calm then someone is tall or not quiet and vice versa. Everyone who is either not patient or not rich is not rich or no... | Fred is generous. | neutral | (((curious(paul)&~tall(paul)))<=>(?[X]:((~creative(X)|~curious(X)))))&
((?[X]:((old(X)|rich(X))))=>((creative(john)<~>curious(john))))&
(((~curious(susan)&~calm(susan)))<=>(?[X]:((tall(X)|~quiet(X)))))&
(![X]:((~patient(X)<~>~rich(X))<=>(~rich(X)|~strong(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(brave(X)&generous(X))))... | generous(fred) | [] | null | 0 |
Everyone who is creative is rich and vice versa.
Everyone who is both funny and not generous is rich or not quiet.
Everyone who is both brave and not humble is old or not patient.
Everyone who is not humble is both not quiet and not calm.
Everyone who is either not strong or not generous is not happy or calm and vice v... | Lucy is not creative. | contradiction | (![X]:(creative(X)<=>rich(X)))&
(![X]:((funny(X)&~generous(X))=>(rich(X)|~quiet(X))))&
(![X]:((brave(X)&~humble(X))=>(old(X)|~patient(X))))&
(![X]:(~humble(X)=>(~quiet(X)&~calm(X))))&
(![X]:((~strong(X)<~>~generous(X))<=>(~happy(X)|calm(X))))&
(![X]:((~humble(X)&~funny(X))<=>(rich(X)<~>~creative(X))))&
(![X]:((calm(X)|... | ~creative(lucy) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6260306796636179102612583
% SZS output start Proof for 6260306796636179102612583
9. ! [X0] : ((curious(X0) | strong(X0)) <=> ~strong(X0)) [input p8]
12. ! [X0] : (curious(X0) => creative(X0)) [input p11]
22. ~creative(lucy) [input hypothesis]
32. ! [X0] : (creative(X0) | ~curious(X0)) [en... | 0 |
If someone is not generous or strong then john is curious or not humble and vice versa.
Everyone who is not funny is both not creative and not tall and vice versa.
Everyone who is not tall or old is both creative and old and vice versa.
If lucy is either curious or not tall then someone is either not wise or not kind a... | Lucy is quiet. | neutral | ((?[X]:((~generous(X)|strong(X))))<=>((curious(john)|~humble(john))))&
(![X]:(~funny(X)<=>(~creative(X)&~tall(X))))&
(![X]:((~tall(X)|old(X))<=>(creative(X)&old(X))))&
(((curious(lucy)<~>~tall(lucy)))<=>(?[X]:((~wise(X)<~>~kind(X)))))&
(![X]:(~creative(X)<=>(curious(X)|~humble(X))))&
(![X]:((kind(X)|curious(X))=>~kind(... | quiet(lucy) | [] | null | 0 |
If someone is both brave and not calm then someone is both wise and rich and vice versa.
If someone is not calm then someone is tall and vice versa.
If susan is either not generous or not strong then someone is not brave.
If lucy is not funny then paul is calm.
Everyone who is wise is both not patient and kind and vice... | Lucy is quiet. | contradiction | ((?[X]:((brave(X)&~calm(X))))<=>(?[X]:((wise(X)&rich(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:(tall(X))))&
(((~generous(susan)<~>~strong(susan)))=>(?[X]:(~brave(X))))&
((~funny(lucy))=>(calm(paul)))&
(![X]:(wise(X)<=>(~patient(X)&kind(X))))&
(![X]:(calm(X)=>(humble(X)<~>creative(X))))&
(![X]:((~brave(X)&funny(X))<=>happy(X))... | quiet(lucy) | [
"p5",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8962809341083796998128461
% SZS output start Proof for 8962809341083796998128461
6. ! [X0] : (calm(X0) => (humble(X0) <~> creative(X0))) [input p5]
10. ! [X0] : ((~humble(X0) <~> patient(X0)) <=> (tall(X0) | calm(X0))) [input p9]
11. ! [X0] : (creative(X0) <=> ~rich(X0)) [input p10]
12. !... | 0 |
Everyone who is both tall and not kind is not funny and vice versa. Everyone who is either not curious or not brave is funny or calm and vice versa. Everyone who is either not calm or not wise is not creative or brave and vice versa. Everyone who is humble or funny is both not strong and not funny. Everyone who is eith... | Fred is not creative. | entailment | (![X]:((tall(X)&~kind(X))<=>~funny(X)))&
(![X]:((~curious(X)<~>~brave(X))<=>(funny(X)|calm(X))))&
(![X]:((~calm(X)<~>~wise(X))<=>(~creative(X)|brave(X))))&
(![X]:((humble(X)|funny(X))=>(~strong(X)&~funny(X))))&
(![X]:((funny(X)<~>~happy(X))=>(~rich(X)|~patient(X))))&
(![X]:((~curious(X)|strong(X))<=>wise(X)))&
(![X]:((... | ~creative(fred) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5768674775674824335536854
% SZS output start Proof for 5768674775674824335536854
2. ! [X0] : ((~curious(X0) <~> ~brave(X0)) <=> (calm(X0) | funny(X0))) [input p1]
3. ! [X0] : ((~calm(X0) <~> ~wise(X0)) <=> (brave(X0) | ~creative(X0))) [input p2]
4. ! [X0] : ((funny(X0) | humble(X0)) => (~... | 0 |
Everyone who is either not happy or wise is either not rich or not quiet.
If someone is happy then alice is both not quiet and calm and vice versa.
If mary is both not funny and wise then john is both wise and brave.
If someone is not happy then someone is both not calm and rich and vice versa.
If someone is creative t... | Fred is generous. | neutral | (![X]:((~happy(X)<~>wise(X))=>(~rich(X)<~>~quiet(X))))&
((?[X]:(happy(X)))<=>((~quiet(alice)&calm(alice))))&
(((~funny(mary)&wise(mary)))=>((wise(john)&brave(john))))&
((?[X]:(~happy(X)))<=>(?[X]:((~calm(X)&rich(X)))))&
((?[X]:(creative(X)))<=>((~strong(john)&quiet(john))))&
(![X]:(funny(X)=>~humble(X)))&
((?[X]:((brav... | generous(fred) | [] | null | 0 |
Everyone who is tall is not tall.
Everyone who is both not humble and happy is not funny and vice versa.
If someone is either happy or generous then alice is either brave or rich and vice versa.
If susan is either not tall or strong then someone is both not creative and humble and vice versa.
Everyone who is either tal... | Susan is humble. | entailment | (![X]:(tall(X)=>~tall(X)))&
(![X]:((~humble(X)&happy(X))<=>~funny(X)))&
((?[X]:((happy(X)<~>generous(X))))<=>((brave(alice)<~>rich(alice))))&
(((~tall(susan)<~>strong(susan)))<=>(?[X]:((~creative(X)&humble(X)))))&
(![X]:((tall(X)<~>funny(X))<=>(funny(X)<~>~humble(X))))&
(((~calm(mary)<~>~generous(mary)))=>(?[X]:(kind(X... | humble(susan) | [
"p0",
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 206431217988943295970679
% SZS output start Proof for 206431217988943295970679
1. ! [X0] : (tall(X0) => ~tall(X0)) [input p0]
2. ! [X0] : ((happy(X0) & ~humble(X0)) <=> ~funny(X0)) [input p1]
5. ! [X0] : ((tall(X0) <~> funny(X0)) <=> (funny(X0) <~> ~humble(X0))) [input p4]
25. ~humble(sus... | 0 |
Everyone who is not strong is brave and vice versa.
If paul is either not wise or not kind then john is not creative or not calm.
Everyone who is not generous is either generous or creative and vice versa.
Everyone who is strong is either not rich or not kind and vice versa.
If someone is either funny or kind then some... | Mary is kind. | neutral | (![X]:(~strong(X)<=>brave(X)))&
(((~wise(paul)<~>~kind(paul)))=>((~creative(john)|~calm(john))))&
(![X]:(~generous(X)<=>(generous(X)<~>creative(X))))&
(![X]:(strong(X)<=>(~rich(X)<~>~kind(X))))&
((?[X]:((funny(X)<~>kind(X))))<=>(?[X]:((~kind(X)<~>patient(X)))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)<~>strong(X)))... | kind(mary) | [] | null | 0 |
Everyone who is both not humble and generous is both tall and patient and vice versa.
Everyone who is generous or not quiet is strong or wise and vice versa.
Everyone who is both not curious and not strong is not happy.
Everyone who is not calm or patient is both not rich and not curious and vice versa.
If someone is h... | Susan is humble. | neutral | (![X]:((~humble(X)&generous(X))<=>(tall(X)&patient(X))))&
(![X]:((generous(X)|~quiet(X))<=>(strong(X)|wise(X))))&
(![X]:((~curious(X)&~strong(X))=>~happy(X)))&
(![X]:((~calm(X)|patient(X))<=>(~rich(X)&~curious(X))))&
((?[X]:((humble(X)|~patient(X))))<=>(?[X]:((brave(X)|~quiet(X)))))&
(![X]:(tall(X)<=>~strong(X)))&
(![X... | humble(susan) | [] | null | 0 |
Everyone who is both humble and not old is humble or generous and vice versa.
Everyone who is both not strong and not calm is not brave.
Everyone who is both patient and not generous is both tall and not humble and vice versa.
Everyone who is either rich or kind is both not tall and brave and vice versa.
Everyone who i... | Paul is old. | contradiction | (![X]:((humble(X)&~old(X))<=>(humble(X)|generous(X))))&
(![X]:((~strong(X)&~calm(X))=>~brave(X)))&
(![X]:((patient(X)&~generous(X))<=>(tall(X)&~humble(X))))&
(![X]:((rich(X)<~>kind(X))<=>(~tall(X)&brave(X))))&
(![X]:((~patient(X)|~kind(X))<=>brave(X)))&
(((funny(john)&~kind(john)))=>(generous(fred)))&
(![X]:((wise(X)&b... | old(paul) | [
"p0",
"p2",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4537850043078142669287156
% SZS output start Proof for 4537850043078142669287156
1. ! [X0] : ((~old(X0) & humble(X0)) <=> (generous(X0) | humble(X0))) [input p0]
3. ! [X0] : ((~generous(X0) & patient(X0)) <=> (~humble(X0) & tall(X0))) [input p2]
8. ! [X0] : (~generous(X0) => (~strong(X0) ... | 0 |
If paul is both not curious and generous then someone is either curious or rich and vice versa.
Everyone who is not generous or not patient is not rich or generous.
Everyone who is either rich or generous is not creative or creative.
Everyone who is either patient or old is not patient.
Everyone who is funny or not cur... | John is quiet. | neutral | (((~curious(paul)&generous(paul)))<=>(?[X]:((curious(X)<~>rich(X)))))&
(![X]:((~generous(X)|~patient(X))=>(~rich(X)|generous(X))))&
(![X]:((rich(X)<~>generous(X))=>(~creative(X)|creative(X))))&
(![X]:((patient(X)<~>old(X))=>~patient(X)))&
(![X]:((funny(X)|~curious(X))<=>~generous(X)))&
(![X]:(~generous(X)=>(calm(X)|fun... | quiet(john) | [] | null | 0 |
Everyone who is not generous or not kind is both happy and not rich and vice versa.
Everyone who is not curious or not quiet is not humble or not rich and vice versa.
If fred is both not tall and not quiet then someone is not strong and vice versa.
If someone is not wise or not old then fred is either not quiet or gene... | Susan is generous. | entailment | (![X]:((~generous(X)|~kind(X))<=>(happy(X)&~rich(X))))&
(![X]:((~curious(X)|~quiet(X))<=>(~humble(X)|~rich(X))))&
(((~tall(fred)&~quiet(fred)))<=>(?[X]:(~strong(X))))&
((?[X]:((~wise(X)|~old(X))))=>((~quiet(fred)<~>generous(fred))))&
((?[X]:((kind(X)<~>~strong(X))))<=>((brave(susan)<~>~brave(susan))))&
(((brave(susan)|... | generous(susan) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 855583512334961502331238
% SZS output start Proof for 855583512334961502331238
1. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> (~rich(X0) & happy(X0))) [input p0]
14. ! [X0] : ((wise(X0) | ~rich(X0)) => (generous(X0) & ~old(X0))) [input p13]
25. ~generous(susan) [input hypothesis]
31. ! [X0]... | 0 |
Everyone who is both curious and tall is humble or not brave and vice versa.
Everyone who is calm is not old.
If lucy is not happy then someone is both not calm and not happy and vice versa.
Everyone who is both quiet and generous is either funny or not curious and vice versa.
If lucy is either not creative or tall the... | Paul is not old. | contradiction | (![X]:((curious(X)&tall(X))<=>(humble(X)|~brave(X))))&
(![X]:(calm(X)=>~old(X)))&
((~happy(lucy))<=>(?[X]:((~calm(X)&~happy(X)))))&
(![X]:((quiet(X)&generous(X))<=>(funny(X)<~>~curious(X))))&
(((~creative(lucy)<~>tall(lucy)))=>(?[X]:(funny(X))))&
((?[X]:((~generous(X)|~rich(X))))=>(?[X]:(strong(X))))&
(![X]:((wise(X)|h... | ~old(paul) | [
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4730233787417229702341773
% SZS output start Proof for 4730233787417229702341773
8. ! [X0] : ((~tall(X0) | ~rich(X0)) <=> rich(X0)) [input p7]
9. ! [X0] : ((~tall(X0) <~> ~creative(X0)) <=> creative(X0)) [input p8]
14. ! [X0] : (~old(X0) => ~rich(X0)) [input p13]
24. ~old(paul) [input hyp... | 0 |
Everyone who is not happy or not humble is both rich and happy.
Everyone who is either not brave or creative is both rich and generous.
Everyone who is both not strong and not kind is both not patient and humble and vice versa.
If someone is either not wise or calm then someone is either funny or generous and vice vers... | Alice is not funny. | entailment | (![X]:((~happy(X)|~humble(X))=>(rich(X)&happy(X))))&
(![X]:((~brave(X)<~>creative(X))=>(rich(X)&generous(X))))&
(![X]:((~strong(X)&~kind(X))<=>(~patient(X)&humble(X))))&
((?[X]:((~wise(X)<~>calm(X))))<=>(?[X]:((funny(X)<~>generous(X)))))&
(((~curious(mary)&~humble(mary)))<=>(?[X]:((~calm(X)&~kind(X)))))&
(![X]:((~funny... | ~funny(alice) | [
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7620995901530307742842745
% SZS output start Proof for 7620995901530307742842745
7. ! [X0] : (patient(X0) <=> (~wise(X0) & wise(X0))) [input p6]
8. ! [X0] : ((rich(X0) & patient(X0)) <=> (strong(X0) & ~patient(X0))) [input p7]
9. ! [X0] : ((funny(X0) | wise(X0)) => (strong(X0) & tall(X0))... | 0 |
If someone is both humble and not humble then someone is generous and vice versa.
Everyone who is either not funny or tall is either tall or patient and vice versa.
Everyone who is humble or brave is not strong or not generous and vice versa.
Everyone who is humble is both kind and not humble and vice versa.
Everyone w... | Paul is curious. | neutral | ((?[X]:((humble(X)&~humble(X))))<=>(?[X]:(generous(X))))&
(![X]:((~funny(X)<~>tall(X))<=>(tall(X)<~>patient(X))))&
(![X]:((humble(X)|brave(X))<=>(~strong(X)|~generous(X))))&
(![X]:(humble(X)<=>(kind(X)&~humble(X))))&
(![X]:(~tall(X)<=>(creative(X)<~>quiet(X))))&
((?[X]:((tall(X)<~>~calm(X))))=>(?[X]:((humble(X)&~calm(X... | curious(paul) | [] | null | 0 |
If mary is either generous or patient then mary is both strong and funny and vice versa.
If mary is both not curious and curious then john is either not happy or kind and vice versa.
Everyone who is tall or not quiet is both happy and brave and vice versa.
If john is not old or funny then someone is not funny and vice ... | Lucy is wise. | entailment | (((generous(mary)<~>patient(mary)))<=>((strong(mary)&funny(mary))))&
(((~curious(mary)&curious(mary)))<=>((~happy(john)<~>kind(john))))&
(![X]:((tall(X)|~quiet(X))<=>(happy(X)&brave(X))))&
(((~old(john)|funny(john)))<=>(?[X]:(~funny(X))))&
(![X]:((~strong(X)<~>happy(X))=>(patient(X)&~calm(X))))&
(![X]:((~calm(X)|~gener... | wise(lucy) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3514020326476783569231605
% SZS output start Proof for 3514020326476783569231605
3. ! [X0] : ((~quiet(X0) | tall(X0)) <=> (brave(X0) & happy(X0))) [input p2]
4. (funny(john) | ~old(john)) <=> ? [X0] : ~funny(X0) [input p3]
5. ! [X0] : ((~strong(X0) <~> happy(X0)) => (~calm(X0) & patient(X... | 0 |
If susan is either strong or wise then someone is not brave. If susan is not happy or not wise then lucy is either kind or not old. If someone is curious then someone is both happy and not happy. Everyone who is old is humble and vice versa. If someone is not strong or strong then someone is either not generous or not ... | Alice is not rich. | neutral | (((strong(susan)<~>wise(susan)))=>(?[X]:(~brave(X))))&
(((~happy(susan)|~wise(susan)))=>((kind(lucy)<~>~old(lucy))))&
((?[X]:(curious(X)))=>(?[X]:((happy(X)&~happy(X)))))&
(![X]:(old(X)<=>humble(X)))&
((?[X]:((~strong(X)|strong(X))))=>(?[X]:((~generous(X)<~>~humble(X)))))&
(![X]:((humble(X)<~>happy(X))<=>(~tall(X)&brav... | ~rich(alice) | [] | null | 0 |
Everyone who is not strong is both not funny and creative.
If lucy is both patient and strong then someone is either creative or not strong and vice versa.
Everyone who is both happy and not funny is not strong or old and vice versa.
Everyone who is not generous or brave is either not old or quiet.
Everyone who is curi... | Paul is not curious. | entailment | (![X]:(~strong(X)=>(~funny(X)&creative(X))))&
(((patient(lucy)&strong(lucy)))<=>(?[X]:((creative(X)<~>~strong(X)))))&
(![X]:((happy(X)&~funny(X))<=>(~strong(X)|old(X))))&
(![X]:((~generous(X)|brave(X))=>(~old(X)<~>quiet(X))))&
(![X]:(curious(X)=>(~generous(X)&~rich(X))))&
(![X]:((wise(X)&~calm(X))<=>(~old(X)&kind(X))))... | ~curious(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8285717578415748061875981
% SZS output start Proof for 8285717578415748061875981
16. ! [X0] : ((~strong(X0) | curious(X0)) => (~curious(X0) & funny(X0))) [input p15]
25. curious(paul) [input hypothesis]
40. ! [X0] : ((~curious(X0) & funny(X0)) | (strong(X0) & ~curious(X0))) [ennf transfor... | 0 |
If lucy is not quiet or not creative then fred is either calm or tall.
Everyone who is either wise or not curious is both not rich and not happy and vice versa.
Everyone who is both not generous and not patient is either not old or quiet.
If someone is either humble or old then someone is both not generous and kind and... | Alice is not creative. | entailment | (((~quiet(lucy)|~creative(lucy)))=>((calm(fred)<~>tall(fred))))&
(![X]:((wise(X)<~>~curious(X))<=>(~rich(X)&~happy(X))))&
(![X]:((~generous(X)&~patient(X))=>(~old(X)<~>quiet(X))))&
((?[X]:((humble(X)<~>old(X))))<=>(?[X]:((~generous(X)&kind(X)))))&
((?[X]:((happy(X)&old(X))))=>((~happy(alice)&~rich(alice))))&
((?[X]:(~h... | ~creative(alice) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1524957911311326130561708
% SZS output start Proof for 1524957911311326130561708
24. curious(alice) & ~creative(alice) [input p23]
25. creative(alice) [input hypothesis]
149. ~creative(alice) [cnf transformation 24]
151. creative(alice) [cnf transformation 25]
345. $false [subsumption res... | 0 |
Everyone who is both not old and not rich is both rich and not tall and vice versa. Everyone who is not old or not humble is both kind and creative. Everyone who is both kind and not rich is both not tall and not strong. Everyone who is either funny or not brave is patient and vice versa. If fred is rich then paul is n... | Susan is creative. | contradiction | (![X]:((~old(X)&~rich(X))<=>(rich(X)&~tall(X))))&
(![X]:((~old(X)|~humble(X))=>(kind(X)&creative(X))))&
(![X]:((kind(X)&~rich(X))=>(~tall(X)&~strong(X))))&
(![X]:((funny(X)<~>~brave(X))<=>patient(X)))&
((rich(fred))<=>(~happy(paul)))&
((?[X]:((humble(X)&quiet(X))))<=>((strong(mary)|patient(mary))))&
(![X]:((brave(X)|ge... | creative(susan) | [
"p2",
"p4",
"p7",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4585292510433746257943275
% SZS output start Proof for 4585292510433746257943275
3. ! [X0] : ((~rich(X0) & kind(X0)) => (~strong(X0) & ~tall(X0))) [input p2]
5. rich(fred) <=> ~happy(paul) [input p4]
8. ! [X0] : ((~creative(X0) <~> curious(X0)) => (happy(X0) & ~rich(X0))) [input p7]
13. !... | 0 |
Everyone who is either not patient or patient is strong.
Everyone who is not strong is both not tall and creative and vice versa.
If someone is either happy or not funny then someone is not happy or not tall and vice versa.
If alice is either humble or not tall then someone is happy and vice versa.
Everyone who is both... | Mary is not tall. | contradiction | (![X]:((~patient(X)<~>patient(X))=>strong(X)))&
(![X]:(~strong(X)<=>(~tall(X)&creative(X))))&
((?[X]:((happy(X)<~>~funny(X))))<=>(?[X]:((~happy(X)|~tall(X)))))&
(((humble(alice)<~>~tall(alice)))<=>(?[X]:(happy(X))))&
(![X]:((~old(X)&~calm(X))<=>creative(X)))&
(![X]:((happy(X)|creative(X))<=>(creative(X)&brave(X))))&
((... | ~tall(mary) | [
"p4",
"p5",
"p6",
"p11",
"p14",
"p15",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2846279979745087065622082
% SZS output start Proof for 2846279979745087065622082
5. ! [X0] : ((~calm(X0) & ~old(X0)) <=> creative(X0)) [input p4]
6. ! [X0] : ((creative(X0) | happy(X0)) <=> (brave(X0) & creative(X0))) [input p5]
7. ? [X0] : brave(X0) => (~brave(mary) & curious(mary)) [inp... | 0 |
If paul is patient or not generous then susan is either generous or not tall.
If someone is both not quiet and brave then someone is either not generous or brave.
If someone is generous then someone is not brave.
Everyone who is either wise or not creative is not humble or kind and vice versa.
If lucy is either happy o... | Mary is curious. | neutral | (((patient(paul)|~generous(paul)))=>((generous(susan)<~>~tall(susan))))&
((?[X]:((~quiet(X)&brave(X))))=>(?[X]:((~generous(X)<~>brave(X)))))&
((?[X]:(generous(X)))=>(?[X]:(~brave(X))))&
(![X]:((wise(X)<~>~creative(X))<=>(~humble(X)|kind(X))))&
(((happy(lucy)<~>~happy(lucy)))<=>((humble(john)|strong(john))))&
(![X]:(~ri... | curious(mary) | [] | null | 0 |
If someone is either tall or not humble then susan is either not quiet or not tall.
If someone is tall then susan is either generous or rich.
Everyone who is both happy and not kind is both rich and not quiet and vice versa.
If someone is not creative then john is not tall or not brave and vice versa.
If john is funny ... | John is not happy. | entailment | ((?[X]:((tall(X)<~>~humble(X))))=>((~quiet(susan)<~>~tall(susan))))&
((?[X]:(tall(X)))=>((generous(susan)<~>rich(susan))))&
(![X]:((happy(X)&~kind(X))<=>(rich(X)&~quiet(X))))&
((?[X]:(~creative(X)))<=>((~tall(john)|~brave(john))))&
(((funny(john)|humble(john)))<=>(~happy(susan)))&
(![X]:(~generous(X)=>patient(X)))&
((?... | ~happy(john) | [
"p2",
"p5",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7282202958459130696133406
% SZS output start Proof for 7282202958459130696133406
3. ! [X0] : ((~kind(X0) & happy(X0)) <=> (~quiet(X0) & rich(X0))) [input p2]
6. ! [X0] : (~generous(X0) => patient(X0)) [input p5]
10. ! [X0] : ((curious(X0) | generous(X0)) => (~curious(X0) & ~kind(X0))) [in... | 0 |
Everyone who is either strong or not brave is not strong and vice versa.
Everyone who is either not happy or not curious is creative or not quiet.
Everyone who is kind or not happy is either not old or humble.
Everyone who is quiet or old is calm or not patient.
Everyone who is funny or calm is not patient and vice ver... | Mary is creative. | neutral | (![X]:((strong(X)<~>~brave(X))<=>~strong(X)))&
(![X]:((~happy(X)<~>~curious(X))=>(creative(X)|~quiet(X))))&
(![X]:((kind(X)|~happy(X))=>(~old(X)<~>humble(X))))&
(![X]:((quiet(X)|old(X))=>(calm(X)|~patient(X))))&
(![X]:((funny(X)|calm(X))<=>~patient(X)))&
(![X]:((~calm(X)<~>~brave(X))=>(kind(X)<~>happy(X))))&
(![X]:((~p... | creative(mary) | [] | null | 0 |
If susan is calm or not humble then lucy is both rich and calm.
If mary is either not tall or calm then someone is both not creative and wise.
Everyone who is generous or quiet is both humble and not patient and vice versa.
Everyone who is strong or not creative is funny or not humble and vice versa.
Everyone who is no... | John is not old. | neutral | (((calm(susan)|~humble(susan)))=>((rich(lucy)&calm(lucy))))&
(((~tall(mary)<~>calm(mary)))=>(?[X]:((~creative(X)&wise(X)))))&
(![X]:((generous(X)|quiet(X))<=>(humble(X)&~patient(X))))&
(![X]:((strong(X)|~creative(X))<=>(funny(X)|~humble(X))))&
(![X]:((~rich(X)|~curious(X))<=>happy(X)))&
(((~generous(fred)&wise(fred)))<... | ~old(john) | [] | null | 0 |
If alice is kind then someone is humble or not curious.
Everyone who is both funny and not happy is creative.
Everyone who is patient is both wise and patient.
Everyone who is either happy or brave is both not generous and rich and vice versa.
If lucy is not tall then lucy is humble and vice versa.
Everyone who is eith... | Lucy is not funny. | neutral | ((kind(alice))=>(?[X]:((humble(X)|~curious(X)))))&
(![X]:((funny(X)&~happy(X))=>creative(X)))&
(![X]:(patient(X)=>(wise(X)&patient(X))))&
(![X]:((happy(X)<~>brave(X))<=>(~generous(X)&rich(X))))&
((~tall(lucy))<=>(humble(lucy)))&
(![X]:((~strong(X)<~>~creative(X))<=>~creative(X)))&
((~strong(paul))=>(?[X]:(quiet(X))))&
... | ~funny(lucy) | [] | null | 0 |
Everyone who is brave is both brave and not rich. Everyone who is both not tall and quiet is tall and vice versa. Everyone who is happy is not quiet and vice versa. Everyone who is not patient or happy is both not rich and creative and vice versa. If susan is not curious or not brave then john is both not brave and old... | John is not calm. | entailment | (![X]:(brave(X)=>(brave(X)&~rich(X))))&
(![X]:((~tall(X)&quiet(X))<=>tall(X)))&
(![X]:(happy(X)<=>~quiet(X)))&
(![X]:((~patient(X)|happy(X))<=>(~rich(X)&creative(X))))&
(((~curious(susan)|~brave(susan)))=>((~brave(john)&old(john))))&
(((generous(susan)|~strong(susan)))<=>(?[X]:(~old(X))))&
((?[X]:((generous(X)&~humble(... | ~calm(john) | [
"p1",
"p2",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3579224605403930635586269
% SZS output start Proof for 3579224605403930635586269
2. ! [X0] : ((quiet(X0) & ~tall(X0)) <=> tall(X0)) [input p1]
3. ! [X0] : (happy(X0) <=> ~quiet(X0)) [input p2]
10. ! [X0] : ((happy(X0) <~> calm(X0)) <=> (generous(X0) & ~tall(X0))) [input p9]
11. ! [X0] : (... | 0 |
Everyone who is either not generous or curious is both not rich and not old and vice versa.
If paul is either patient or not kind then susan is not wise and vice versa.
If someone is either rich or curious then alice is either curious or humble and vice versa.
Everyone who is both funny and not funny is patient and vic... | Alice is not funny. | entailment | (![X]:((~generous(X)<~>curious(X))<=>(~rich(X)&~old(X))))&
(((patient(paul)<~>~kind(paul)))<=>(~wise(susan)))&
((?[X]:((rich(X)<~>curious(X))))<=>((curious(alice)<~>humble(alice))))&
(![X]:((funny(X)&~funny(X))<=>patient(X)))&
((quiet(alice))=>(rich(fred)))&
(((~humble(paul)|~strong(paul)))=>(?[X]:(happy(X))))&
(![X]:(... | ~funny(alice) | [
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4886401830407838860185215
% SZS output start Proof for 4886401830407838860185215
8. ! [X0] : (brave(X0) <=> (generous(X0) <~> ~generous(X0))) [input p7]
12. ! [X0] : ((humble(X0) & wise(X0)) <=> (~brave(X0) <~> funny(X0))) [input p11]
13. ! [X0] : (~rich(X0) <=> (rich(X0) <~> ~humble(X0))... | 0 |
If someone is either not kind or not calm then someone is either creative or not tall. Everyone who is humble is not creative. Everyone who is not rich or generous is both calm and kind. If lucy is funny or not funny then someone is both brave and calm. Everyone who is both not tall and humble is rich or not generous a... | Lucy is not humble. | contradiction | ((?[X]:((~kind(X)<~>~calm(X))))=>(?[X]:((creative(X)<~>~tall(X)))))&
(![X]:(humble(X)=>~creative(X)))&
(![X]:((~rich(X)|generous(X))=>(calm(X)&kind(X))))&
(((funny(lucy)|~funny(lucy)))=>(?[X]:((brave(X)&calm(X)))))&
(![X]:((~tall(X)&humble(X))<=>(rich(X)|~generous(X))))&
(![X]:((~brave(X)&~kind(X))<=>(generous(X)&~crea... | ~humble(lucy) | [
"p2",
"p4",
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2820933617620500268364090
% SZS output start Proof for 2820933617620500268364090
3. ! [X0] : ((generous(X0) | ~rich(X0)) => (kind(X0) & calm(X0))) [input p2]
5. ! [X0] : ((humble(X0) & ~tall(X0)) <=> (~generous(X0) | rich(X0))) [input p4]
6. ! [X0] : ((~kind(X0) & ~brave(X0)) <=> (~creati... | 0 |
If mary is happy then john is not humble. Everyone who is either not happy or creative is not wise. Everyone who is either not funny or not curious is wise. Everyone who is not kind is not humble or generous and vice versa. If someone is not happy then susan is both funny and rich and vice versa. Everyone who is either... | Mary is funny. | neutral | ((happy(mary))=>(~humble(john)))&
(![X]:((~happy(X)<~>creative(X))=>~wise(X)))&
(![X]:((~funny(X)<~>~curious(X))=>wise(X)))&
(![X]:(~kind(X)<=>(~humble(X)|generous(X))))&
((?[X]:(~happy(X)))<=>((funny(susan)&rich(susan))))&
(![X]:((kind(X)<~>~happy(X))<=>(strong(X)<~>~calm(X))))&
(((~calm(alice)<~>~kind(alice)))<=>(?[X... | funny(mary) | [] | null | 0 |
Everyone who is either not strong or not rich is both not humble and patient and vice versa. If someone is brave then someone is not funny or not tall and vice versa. Everyone who is not tall or quiet is both creative and happy and vice versa. If paul is both not quiet and not generous then someone is either not humble... | Fred is happy. | neutral | (![X]:((~strong(X)<~>~rich(X))<=>(~humble(X)&patient(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~funny(X)|~tall(X)))))&
(![X]:((~tall(X)|quiet(X))<=>(creative(X)&happy(X))))&
(((~quiet(paul)&~generous(paul)))<=>(?[X]:((~humble(X)<~>tall(X)))))&
((?[X]:((strong(X)|~tall(X))))<=>((quiet(susan)<~>~brave(susan))))&
((?[X]:((~quie... | happy(fred) | [] | null | 0 |
If someone is either funny or not kind then alice is not tall or calm.
If lucy is either strong or old then john is either not funny or calm and vice versa.
Everyone who is not generous is not kind and vice versa.
If someone is both quiet and old then someone is either not kind or happy and vice versa.
If someone is ei... | Lucy is happy. | entailment | ((?[X]:((funny(X)<~>~kind(X))))=>((~tall(alice)|calm(alice))))&
(((strong(lucy)<~>old(lucy)))<=>((~funny(john)<~>calm(john))))&
(![X]:(~generous(X)<=>~kind(X)))&
((?[X]:((quiet(X)&old(X))))<=>(?[X]:((~kind(X)<~>happy(X)))))&
((?[X]:((~rich(X)<~>generous(X))))<=>((quiet(susan)<~>~tall(susan))))&
((?[X]:(~old(X)))=>(rich... | happy(lucy) | [
"p2",
"p3",
"p8",
"p10",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8046794492777338903270060
% SZS output start Proof for 8046794492777338903270060
3. ! [X0] : (~generous(X0) <=> ~kind(X0)) [input p2]
4. ? [X0] : (old(X0) & quiet(X0)) <=> ? [X0] : (~kind(X0) <~> happy(X0)) [input p3]
9. ! [X0] : (~quiet(X0) <=> (~generous(X0) | ~kind(X0))) [input p8]
11.... | 0 |
Everyone who is strong or not tall is both not calm and rich. Everyone who is not quiet or not humble is either old or quiet. Everyone who is not generous is funny. If susan is not creative then someone is not brave. Everyone who is calm or not humble is wise. If someone is kind then alice is either quiet or not kind. ... | Alice is creative. | neutral | (![X]:((strong(X)|~tall(X))=>(~calm(X)&rich(X))))&
(![X]:((~quiet(X)|~humble(X))=>(old(X)<~>quiet(X))))&
(![X]:(~generous(X)=>funny(X)))&
((~creative(susan))=>(?[X]:(~brave(X))))&
(![X]:((calm(X)|~humble(X))=>wise(X)))&
((?[X]:(kind(X)))=>((quiet(alice)<~>~kind(alice))))&
(![X]:(~old(X)=>~brave(X)))&
(![X]:((humble(X)|... | creative(alice) | [] | null | 0 |
Everyone who is not tall or happy is both curious and not funny. If john is both creative and tall then john is not rich or old and vice versa. If lucy is not creative then someone is not generous or not curious and vice versa. If someone is either patient or old then fred is not calm or wise. Everyone who is not old o... | Lucy is not patient. | contradiction | (![X]:((~tall(X)|happy(X))=>(curious(X)&~funny(X))))&
(((creative(john)&tall(john)))<=>((~rich(john)|old(john))))&
((~creative(lucy))<=>(?[X]:((~generous(X)|~curious(X)))))&
((?[X]:((patient(X)<~>old(X))))=>((~calm(fred)|wise(fred))))&
(![X]:((~old(X)|~humble(X))<=>~strong(X)))&
((?[X]:((~tall(X)|curious(X))))<=>((~wis... | ~patient(lucy) | [
"p2",
"p4",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6105022418624453635120806
% SZS output start Proof for 6105022418624453635120806
3. ~creative(lucy) <=> ? [X0] : (~curious(X0) | ~generous(X0)) [input p2]
5. ! [X0] : ((~humble(X0) | ~old(X0)) <=> ~strong(X0)) [input p4]
15. (~curious(lucy) | ~strong(lucy)) <=> (patient(fred) & ~generous(... | 0 |
If someone is either not calm or old then mary is patient or not generous and vice versa.
Everyone who is either not rich or not patient is either wise or not strong and vice versa.
Everyone who is either calm or old is both funny and not brave and vice versa.
Everyone who is curious is not curious.
If paul is not funn... | Susan is not old. | contradiction | ((?[X]:((~calm(X)<~>old(X))))<=>((patient(mary)|~generous(mary))))&
(![X]:((~rich(X)<~>~patient(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((calm(X)<~>old(X))<=>(funny(X)&~brave(X))))&
(![X]:(curious(X)=>~curious(X)))&
((~funny(paul))=>(?[X]:((~patient(X)|strong(X)))))&
(![X]:((~rich(X)<~>funny(X))<=>(wise(X)<~>rich(X))))&
... | ~old(susan) | [
"p6",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 214244770086907882105286
% SZS output start Proof for 214244770086907882105286
7. ? [X0] : (~quiet(X0) <~> old(X0)) => (old(susan) & happy(susan)) [input p6]
10. ! [X0] : (old(X0) <=> (~humble(X0) & quiet(X0))) [input p9]
23. ? [X0] : (~quiet(X0) & ~calm(X0)) [input p22]
25. ~old(susan) [... | 0 |
If someone is either patient or old then someone is funny.
If someone is both not old and not happy then fred is both not wise and kind and vice versa.
Everyone who is not curious or not wise is curious or quiet and vice versa.
Everyone who is both strong and not funny is not humble or humble.
Everyone who is either cu... | Fred is quiet. | contradiction | ((?[X]:((patient(X)<~>old(X))))=>(?[X]:(funny(X))))&
((?[X]:((~old(X)&~happy(X))))<=>((~wise(fred)&kind(fred))))&
(![X]:((~curious(X)|~wise(X))<=>(curious(X)|quiet(X))))&
(![X]:((strong(X)&~funny(X))=>(~humble(X)|humble(X))))&
(![X]:((curious(X)<~>~humble(X))<=>~old(X)))&
(((funny(lucy)|~patient(lucy)))<=>(?[X]:((curio... | quiet(fred) | [
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8175820198774263043408927
% SZS output start Proof for 8175820198774263043408927
6. (~patient(lucy) | funny(lucy)) <=> ? [X0] : (~curious(X0) & curious(X0)) [input p5]
8. ~quiet(fred) <=> ? [X0] : (happy(X0) | rich(X0)) [input p7]
11. ! [X0] : (patient(X0) <=> (happy(X0) <~> funny(X0))) [... | 0 |
If john is happy or old then someone is creative.
Everyone who is rich is not kind or quiet.
Everyone who is either not humble or not rich is brave.
If someone is tall then someone is both kind and brave.
If mary is not wise or creative then alice is not happy or not funny and vice versa.
Everyone who is quiet is not s... | John is not calm. | contradiction | (((happy(john)|old(john)))=>(?[X]:(creative(X))))&
(![X]:(rich(X)=>(~kind(X)|quiet(X))))&
(![X]:((~humble(X)<~>~rich(X))=>brave(X)))&
((?[X]:(tall(X)))=>(?[X]:((kind(X)&brave(X)))))&
(((~wise(mary)|creative(mary)))<=>((~happy(alice)|~funny(alice))))&
(![X]:(quiet(X)<=>~strong(X)))&
(![X]:(~rich(X)=>(~quiet(X)<~>generou... | ~calm(john) | [
"p5",
"p6",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 273489151898543438966082
% SZS output start Proof for 273489151898543438966082
6. ! [X0] : (quiet(X0) <=> ~strong(X0)) [input p5]
7. ! [X0] : (~rich(X0) => (~quiet(X0) <~> generous(X0))) [input p6]
14. ! [X0] : ((rich(X0) | generous(X0)) <=> calm(X0)) [input p13]
15. ! [X0] : ((happy(X0) ... | 0 |
Everyone who is not funny or generous is either not curious or not wise and vice versa.
Everyone who is both happy and not rich is not generous and vice versa.
Everyone who is both kind and old is both not patient and wise and vice versa.
Everyone who is humble or not happy is tall and vice versa.
If lucy is tall or wi... | Alice is tall. | neutral | (![X]:((~funny(X)|generous(X))<=>(~curious(X)<~>~wise(X))))&
(![X]:((happy(X)&~rich(X))<=>~generous(X)))&
(![X]:((kind(X)&old(X))<=>(~patient(X)&wise(X))))&
(![X]:((humble(X)|~happy(X))<=>tall(X)))&
(((tall(lucy)|wise(lucy)))=>((~calm(susan)|~brave(susan))))&
((quiet(lucy))<=>((humble(lucy)&rich(lucy))))&
(![X]:((patie... | tall(alice) | [] | null | 0 |
Everyone who is not old is creative or not patient and vice versa.
Everyone who is not old is both generous and not brave and vice versa.
Everyone who is old or not funny is either old or calm.
Everyone who is either rich or not tall is either patient or not brave and vice versa.
Everyone who is both funny and rich is ... | Alice is not calm. | entailment | (![X]:(~old(X)<=>(creative(X)|~patient(X))))&
(![X]:(~old(X)<=>(generous(X)&~brave(X))))&
(![X]:((old(X)|~funny(X))=>(old(X)<~>calm(X))))&
(![X]:((rich(X)<~>~tall(X))<=>(patient(X)<~>~brave(X))))&
(![X]:((funny(X)&rich(X))<=>(~calm(X)&~generous(X))))&
(![X]:((~calm(X)&curious(X))<=>(~calm(X)<~>calm(X))))&
(((~old(fred)... | ~calm(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5355204686945811600273158
% SZS output start Proof for 5355204686945811600273158
6. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (~calm(X0) <~> calm(X0))) [input p5]
25. calm(alice) [input hypothesis]
47. ! [X0] : (((curious(X0) & ~calm(X0)) | ((~calm(X0) | ~calm(X0)) & (calm(X0) | calm(X0))))... | 0 |
Everyone who is either not humble or rich is both humble and not strong and vice versa. Everyone who is both rich and strong is both not humble and not creative and vice versa. If someone is not funny then someone is creative or not kind and vice versa. If john is not brave then lucy is either tall or not tall and vice... | Mary is generous. | neutral | (![X]:((~humble(X)<~>rich(X))<=>(humble(X)&~strong(X))))&
(![X]:((rich(X)&strong(X))<=>(~humble(X)&~creative(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((creative(X)|~kind(X)))))&
((~brave(john))<=>((tall(lucy)<~>~tall(lucy))))&
(![X]:((humble(X)<~>~creative(X))<=>(patient(X)<~>~happy(X))))&
(((humble(alice)<~>~quiet(alice)))<... | generous(mary) | [] | null | 0 |
Everyone who is not wise or kind is both tall and wise.
If mary is either not rich or not quiet then alice is either not strong or not quiet and vice versa.
Everyone who is either kind or not generous is both not generous and not strong.
Everyone who is strong is not funny and vice versa.
Everyone who is brave or rich ... | Mary is quiet. | neutral | (![X]:((~wise(X)|kind(X))=>(tall(X)&wise(X))))&
(((~rich(mary)<~>~quiet(mary)))<=>((~strong(alice)<~>~quiet(alice))))&
(![X]:((kind(X)<~>~generous(X))=>(~generous(X)&~strong(X))))&
(![X]:(strong(X)<=>~funny(X)))&
(![X]:((brave(X)|rich(X))<=>(~rich(X)&~creative(X))))&
(![X]:((kind(X)&~old(X))=>(rich(X)<~>~tall(X))))&
((... | quiet(mary) | [] | null | 0 |
Everyone who is either creative or not humble is either not brave or not creative. If lucy is not old or not calm then someone is not tall. Everyone who is not funny is generous. Everyone who is not strong or calm is not quiet or not calm and vice versa. Everyone who is either old or not funny is patient or curious and... | Susan is patient. | contradiction | (![X]:((creative(X)<~>~humble(X))=>(~brave(X)<~>~creative(X))))&
(((~old(lucy)|~calm(lucy)))=>(?[X]:(~tall(X))))&
(![X]:(~funny(X)=>generous(X)))&
(![X]:((~strong(X)|calm(X))<=>(~quiet(X)|~calm(X))))&
(![X]:((old(X)<~>~funny(X))<=>(patient(X)|curious(X))))&
((?[X]:((kind(X)<~>~creative(X))))=>(?[X]:((~humble(X)|~quiet(... | patient(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 9104367654076177166226862
% SZS output start Proof for 9104367654076177166226862
8. ! [X0] : ((patient(X0) | funny(X0)) => ~patient(X0)) [input p7]
24. patient(susan) [input hypothesis]
30. ! [X0] : (~patient(X0) | (~patient(X0) & ~funny(X0))) [ennf transformation 8]
95. ~patient(X0) | ~p... | 0 |
If someone is not calm or calm then lucy is not quiet. Everyone who is both quiet and not happy is not happy and vice versa. Everyone who is creative is not wise or tall and vice versa. If john is not patient then susan is either not curious or creative and vice versa. If someone is both not funny and not generous then... | Paul is not generous. | entailment | ((?[X]:((~calm(X)|calm(X))))=>(~quiet(lucy)))&
(![X]:((quiet(X)&~happy(X))<=>~happy(X)))&
(![X]:(creative(X)<=>(~wise(X)|tall(X))))&
((~patient(john))<=>((~curious(susan)<~>creative(susan))))&
((?[X]:((~funny(X)&~generous(X))))<=>((strong(paul)|brave(paul))))&
((?[X]:(humble(X)))<=>(?[X]:((kind(X)&~funny(X)))))&
(![X]:... | ~generous(paul) | [
"p1",
"p4",
"p6",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6682977546328228817276362
% SZS output start Proof for 6682977546328228817276362
2. ! [X0] : ((~happy(X0) & quiet(X0)) <=> ~happy(X0)) [input p1]
5. ? [X0] : (~generous(X0) & ~funny(X0)) <=> (brave(paul) | strong(paul)) [input p4]
7. ! [X0] : ((strong(X0) | ~happy(X0)) => (~strong(X0) <~>... | 0 |
If john is both not brave and not old then fred is not calm and vice versa.
Everyone who is calm or not patient is humble and vice versa.
Everyone who is either strong or humble is not funny and vice versa.
Everyone who is both calm and not rich is either not tall or not old.
If someone is old then someone is quiet and... | Fred is funny. | contradiction | (((~brave(john)&~old(john)))<=>(~calm(fred)))&
(![X]:((calm(X)|~patient(X))<=>humble(X)))&
(![X]:((strong(X)<~>humble(X))<=>~funny(X)))&
(![X]:((calm(X)&~rich(X))=>(~tall(X)<~>~old(X))))&
((?[X]:(old(X)))<=>(?[X]:(quiet(X))))&
(((~funny(paul)<~>~generous(paul)))<=>((calm(mary)|kind(mary))))&
((funny(susan))<=>(?[X]:((~... | funny(fred) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5851490042195974601341923
% SZS output start Proof for 5851490042195974601341923
20. ~funny(fred) [input p19]
25. funny(fred) [input hypothesis]
127. ~funny(fred) [cnf transformation 20]
133. funny(fred) [cnf transformation 25]
290. $false [subsumption resolution 133,127]
% SZS output end... | 0 |
Everyone who is not happy or not curious is humble or happy. If paul is both not calm and calm then mary is either kind or not funny. Everyone who is not tall is kind and vice versa. If alice is patient then john is either brave or creative and vice versa. Everyone who is either old or quiet is both brave and not kind.... | Mary is wise. | contradiction | (![X]:((~happy(X)|~curious(X))=>(humble(X)|happy(X))))&
(((~calm(paul)&calm(paul)))=>((kind(mary)<~>~funny(mary))))&
(![X]:(~tall(X)<=>kind(X)))&
((patient(alice))<=>((brave(john)<~>creative(john))))&
(![X]:((old(X)<~>quiet(X))=>(brave(X)&~kind(X))))&
(![X]:((~humble(X)|~patient(X))<=>~wise(X)))&
(![X]:((~brave(X)&~wis... | wise(mary) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4760400249094874706441828
% SZS output start Proof for 4760400249094874706441828
6. ! [X0] : ((~patient(X0) | ~humble(X0)) <=> ~wise(X0)) [input p5]
7. ! [X0] : ((~wise(X0) & ~brave(X0)) <=> (humble(X0) | curious(X0))) [input p6]
21. wise(mary) [input hypothesis]
33. ! [X0] : (((~patient(... | 0 |
If someone is both brave and curious then susan is not humble or curious and vice versa. Everyone who is generous is generous or not kind and vice versa. If someone is both kind and quiet then someone is strong or not old. Everyone who is both old and not calm is not rich or not funny and vice versa. Everyone who is bo... | John is kind. | neutral | ((?[X]:((brave(X)&curious(X))))<=>((~humble(susan)|curious(susan))))&
(![X]:(generous(X)<=>(generous(X)|~kind(X))))&
((?[X]:((kind(X)&quiet(X))))=>(?[X]:((strong(X)|~old(X)))))&
(![X]:((old(X)&~calm(X))<=>(~rich(X)|~funny(X))))&
(![X]:((rich(X)&~wise(X))=>(curious(X)&quiet(X))))&
(((curious(john)&old(john)))<=>(rich(su... | kind(john) | [] | null | 0 |
If susan is not tall then someone is both not patient and kind.
Everyone who is humble is generous or not rich and vice versa.
If fred is not curious then someone is creative or tall and vice versa.
Everyone who is either not calm or patient is either kind or not generous.
If fred is either not curious or not old then ... | Paul is old. | neutral | ((~tall(susan))=>(?[X]:((~patient(X)&kind(X)))))&
(![X]:(humble(X)<=>(generous(X)|~rich(X))))&
((~curious(fred))<=>(?[X]:((creative(X)|tall(X)))))&
(![X]:((~calm(X)<~>patient(X))=>(kind(X)<~>~generous(X))))&
(((~curious(fred)<~>~old(fred)))<=>(?[X]:((~rich(X)|calm(X)))))&
(![X]:((tall(X)&funny(X))<=>generous(X)))&
((?[... | old(paul) | [] | null | 0 |
If john is either old or tall then paul is both patient and strong and vice versa. Everyone who is either not happy or calm is not happy or generous. If paul is wise then someone is both not calm and not rich. If someone is not strong then paul is not brave or kind. If someone is creative then lucy is brave or not happ... | Fred is wise. | entailment | (((old(john)<~>tall(john)))<=>((patient(paul)&strong(paul))))&
(![X]:((~happy(X)<~>calm(X))=>(~happy(X)|generous(X))))&
((wise(paul))=>(?[X]:((~calm(X)&~rich(X)))))&
((?[X]:(~strong(X)))=>((~brave(paul)|kind(paul))))&
((?[X]:(creative(X)))<=>((brave(lucy)|~happy(lucy))))&
(![X]:((humble(X)<~>~wise(X))=>humble(X)))&
(![... | wise(fred) | [
"p5",
"p7",
"p10",
"p13",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7557600832232472352673369
% SZS output start Proof for 7557600832232472352673369
6. ! [X0] : ((humble(X0) <~> ~wise(X0)) => humble(X0)) [input p5]
8. ! [X0] : ((curious(X0) <~> ~kind(X0)) <=> (humble(X0) <~> happy(X0))) [input p7]
11. ! [X0] : ((~wise(X0) & curious(X0)) <=> (curious(X0) <... | 0 |
If john is either quiet or not strong then alice is either not generous or not calm and vice versa. Everyone who is either not brave or not happy is creative. If someone is not generous then mary is rich or happy and vice versa. If someone is both not wise and rich then someone is either quiet or not kind and vice vers... | Alice is tall. | contradiction | (((quiet(john)<~>~strong(john)))<=>((~generous(alice)<~>~calm(alice))))&
(![X]:((~brave(X)<~>~happy(X))=>creative(X)))&
((?[X]:(~generous(X)))<=>((rich(mary)|happy(mary))))&
((?[X]:((~wise(X)&rich(X))))<=>(?[X]:((quiet(X)<~>~kind(X)))))&
(((quiet(john)|happy(john)))=>(~creative(mary)))&
((?[X]:((~kind(X)&~tall(X))))<=>... | tall(alice) | [
"p7",
"p8",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4691425012059694147839420
% SZS output start Proof for 4691425012059694147839420
8. ! [X0] : ((~generous(X0) | generous(X0)) => (~brave(X0) <~> ~calm(X0))) [input p7]
9. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> ~rich(X0)) [input p8]
13. ! [X0] : ((~happy(X0) & ~rich(X0)) <=> (brave(X0) <~>... | 0 |
If john is both strong and tall then fred is old or not humble.
Everyone who is not calm is both generous and brave.
Everyone who is not patient or generous is both not calm and generous and vice versa.
If lucy is both not curious and rich then alice is both happy and not kind.
If someone is curious then lucy is both n... | Paul is not strong. | entailment | (((strong(john)&tall(john)))=>((old(fred)|~humble(fred))))&
(![X]:(~calm(X)=>(generous(X)&brave(X))))&
(![X]:((~patient(X)|generous(X))<=>(~calm(X)&generous(X))))&
(((~curious(lucy)&rich(lucy)))=>((happy(alice)&~kind(alice))))&
((?[X]:(curious(X)))<=>((~quiet(lucy)&~brave(lucy))))&
((?[X]:((happy(X)|patient(X))))=>((~g... | ~strong(paul) | [
"p1",
"p2",
"p4",
"p6",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5196404316687047673511454
% SZS output start Proof for 5196404316687047673511454
2. ! [X0] : (~calm(X0) => (brave(X0) & generous(X0))) [input p1]
3. ! [X0] : ((generous(X0) | ~patient(X0)) <=> (generous(X0) & ~calm(X0))) [input p2]
5. ? [X0] : curious(X0) <=> (~brave(lucy) & ~quiet(lucy))... | 0 |
Everyone who is not kind is either calm or not curious.
If susan is not strong then someone is either not generous or old and vice versa.
If lucy is either not strong or not curious then someone is funny and vice versa.
Everyone who is not rich is kind and vice versa.
If paul is both not calm and happy then mary is eit... | Susan is not patient. | neutral | (![X]:(~kind(X)=>(calm(X)<~>~curious(X))))&
((~strong(susan))<=>(?[X]:((~generous(X)<~>old(X)))))&
(((~strong(lucy)<~>~curious(lucy)))<=>(?[X]:(funny(X))))&
(![X]:(~rich(X)<=>kind(X)))&
(((~calm(paul)&happy(paul)))<=>((~calm(mary)<~>humble(mary))))&
((?[X]:((~patient(X)<~>strong(X))))=>(?[X]:(~brave(X))))&
(((brave(fre... | ~patient(susan) | [] | null | 0 |
If someone is not brave then mary is either not creative or generous.
Everyone who is not brave is humble or not old.
If fred is both funny and not tall then alice is not funny.
Everyone who is both not quiet and not funny is not curious.
If mary is creative then someone is either humble or not old.
Everyone who is tal... | Fred is wise. | neutral | ((?[X]:(~brave(X)))=>((~creative(mary)<~>generous(mary))))&
(![X]:(~brave(X)=>(humble(X)|~old(X))))&
(((funny(fred)&~tall(fred)))=>(~funny(alice)))&
(![X]:((~quiet(X)&~funny(X))=>~curious(X)))&
((creative(mary))=>(?[X]:((humble(X)<~>~old(X)))))&
(![X]:(tall(X)=>calm(X)))&
(![X]:((creative(X)&curious(X))<=>(wise(X)<~>~f... | wise(fred) | [] | null | 0 |
Everyone who is happy or brave is both funny and creative and vice versa.
Everyone who is both kind and humble is both kind and brave.
Everyone who is either not patient or old is either not rich or tall and vice versa.
Everyone who is not happy or calm is strong or not curious.
Everyone who is both not humble and old ... | Alice is tall. | contradiction | (![X]:((happy(X)|brave(X))<=>(funny(X)&creative(X))))&
(![X]:((kind(X)&humble(X))=>(kind(X)&brave(X))))&
(![X]:((~patient(X)<~>old(X))<=>(~rich(X)<~>tall(X))))&
(![X]:((~happy(X)|calm(X))=>(strong(X)|~curious(X))))&
(![X]:((~humble(X)&old(X))<=>~brave(X)))&
(![X]:((curious(X)<~>~curious(X))=>~happy(X)))&
((curious(john... | tall(alice) | [
"p0",
"p4",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4624063374327487296481441
% SZS output start Proof for 4624063374327487296481441
1. ! [X0] : ((brave(X0) | happy(X0)) <=> (creative(X0) & funny(X0))) [input p0]
5. ! [X0] : ((old(X0) & ~humble(X0)) <=> ~brave(X0)) [input p4]
6. ! [X0] : ((curious(X0) <~> ~curious(X0)) => ~happy(X0)) [inpu... | 0 |
If someone is either not calm or strong then someone is both calm and patient.
Everyone who is either not funny or not patient is not generous.
Everyone who is either not tall or not wise is kind.
Everyone who is generous is old or not old and vice versa.
If someone is brave or humble then lucy is both creative and not... | Alice is funny. | contradiction | ((?[X]:((~calm(X)<~>strong(X))))=>(?[X]:((calm(X)&patient(X)))))&
(![X]:((~funny(X)<~>~patient(X))=>~generous(X)))&
(![X]:((~tall(X)<~>~wise(X))=>kind(X)))&
(![X]:(generous(X)<=>(old(X)|~old(X))))&
((?[X]:((brave(X)|humble(X))))<=>((creative(lucy)&~strong(lucy))))&
((?[X]:((~quiet(X)<~>wise(X))))=>(funny(fred)))&
(![X]... | funny(alice) | [
"p1",
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1775529882234420679379544
% SZS output start Proof for 1775529882234420679379544
2. ! [X0] : ((~funny(X0) <~> ~patient(X0)) => ~generous(X0)) [input p1]
4. ! [X0] : (generous(X0) <=> (~old(X0) | old(X0))) [input p3]
17. ~patient(alice) & brave(alice) [input p16]
24. funny(alice) [input hy... | 0 |
If john is strong then alice is both calm and curious. If fred is humble then someone is both rich and funny and vice versa. Everyone who is patient or not tall is wise and vice versa. If someone is not rich then someone is not wise. Everyone who is not brave is not creative or not rich and vice versa. Everyone who is ... | Alice is not patient. | contradiction | ((strong(john))=>((calm(alice)&curious(alice))))&
((humble(fred))<=>(?[X]:((rich(X)&funny(X)))))&
(![X]:((patient(X)|~tall(X))<=>wise(X)))&
((?[X]:(~rich(X)))=>(?[X]:(~wise(X))))&
(![X]:(~brave(X)<=>(~creative(X)|~rich(X))))&
(![X]:(~funny(X)=>(funny(X)&patient(X))))&
((?[X]:((~humble(X)&creative(X))))=>((~tall(mary)<~... | ~patient(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1249979176049713449570423
% SZS output start Proof for 1249979176049713449570423
8. ! [X0] : ((~creative(X0) & patient(X0)) <=> (~quiet(X0) <~> quiet(X0))) [input p7]
20. ~patient(alice) [input hypothesis]
42. ! [X0] : (((~creative(X0) & patient(X0)) | ((~quiet(X0) | ~quiet(X0)) & (quiet(... | 0 |
Everyone who is either kind or not patient is happy or brave and vice versa. Everyone who is either not kind or not strong is not patient or curious. Everyone who is quiet is either strong or not strong and vice versa. Everyone who is either not quiet or not patient is not rich or generous and vice versa. If someone is... | John is old. | contradiction | (![X]:((kind(X)<~>~patient(X))<=>(happy(X)|brave(X))))&
(![X]:((~kind(X)<~>~strong(X))=>(~patient(X)|curious(X))))&
(![X]:(quiet(X)<=>(strong(X)<~>~strong(X))))&
(![X]:((~quiet(X)<~>~patient(X))<=>(~rich(X)|generous(X))))&
((?[X]:((~curious(X)&~brave(X))))<=>(?[X]:((happy(X)&quiet(X)))))&
((?[X]:((~funny(X)&~curious(X)... | old(john) | [
"p0",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7255371558046565449531394
% SZS output start Proof for 7255371558046565449531394
1. ! [X0] : ((kind(X0) <~> ~patient(X0)) <=> (brave(X0) | happy(X0))) [input p0]
13. ! [X0] : ((patient(X0) <~> ~old(X0)) <=> (~kind(X0) <~> ~brave(X0))) [input p12]
21. brave(john) & tall(john) [input p20]
2... | 0 |
Everyone who is not kind is generous or not patient and vice versa.
Everyone who is brave is not brave or creative and vice versa.
If someone is either old or funny then someone is not rich or not tall.
Everyone who is not humble is rich and vice versa.
If someone is either generous or not quiet then lucy is not creati... | Mary is not creative. | contradiction | (![X]:(~kind(X)<=>(generous(X)|~patient(X))))&
(![X]:(brave(X)<=>(~brave(X)|creative(X))))&
((?[X]:((old(X)<~>funny(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:(~humble(X)<=>rich(X)))&
((?[X]:((generous(X)<~>~quiet(X))))<=>((~creative(lucy)|calm(lucy))))&
(![X]:(~patient(X)=>(quiet(X)&~rich(X))))&
(![X]:(quiet(X)=>(tal... | ~creative(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7353576972974419875363170
% SZS output start Proof for 7353576972974419875363170
2. ! [X0] : (brave(X0) <=> (creative(X0) | ~brave(X0))) [input p1]
25. ~creative(mary) [input hypothesis]
38. ! [X0] : ((brave(X0) | (~creative(X0) & brave(X0))) & ((creative(X0) | ~brave(X0)) | ~brave(X0))) ... | 0 |
Everyone who is not wise is both not funny and not tall. If someone is either not happy or not funny then someone is both not curious and not old. Everyone who is not quiet or creative is funny and vice versa. Everyone who is not old is both generous and not kind and vice versa. If susan is either strong or not calm th... | Susan is not humble. | neutral | (![X]:(~wise(X)=>(~funny(X)&~tall(X))))&
((?[X]:((~happy(X)<~>~funny(X))))=>(?[X]:((~curious(X)&~old(X)))))&
(![X]:((~quiet(X)|creative(X))<=>funny(X)))&
(![X]:(~old(X)<=>(generous(X)&~kind(X))))&
(((strong(susan)<~>~calm(susan)))<=>(?[X]:((~humble(X)|patient(X)))))&
((?[X]:((~old(X)&~kind(X))))=>((~curious(john)<~>~st... | ~humble(susan) | [] | null | 0 |
If someone is both quiet and not rich then someone is both quiet and not curious and vice versa.
Everyone who is both not happy and not kind is both not wise and brave and vice versa.
Everyone who is generous is both not funny and not rich and vice versa.
If susan is brave or quiet then paul is not patient or kind.
If ... | Paul is not tall. | contradiction | ((?[X]:((quiet(X)&~rich(X))))<=>(?[X]:((quiet(X)&~curious(X)))))&
(![X]:((~happy(X)&~kind(X))<=>(~wise(X)&brave(X))))&
(![X]:(generous(X)<=>(~funny(X)&~rich(X))))&
(((brave(susan)|quiet(susan)))=>((~patient(paul)|kind(paul))))&
((?[X]:((~rich(X)<~>~generous(X))))=>(happy(mary)))&
(![X]:(funny(X)<=>(~rich(X)<~>kind(X)))... | ~tall(paul) | [
"p6",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3670772677410225852576723
% SZS output start Proof for 3670772677410225852576723
7. ! [X0] : ((curious(X0) & funny(X0)) <=> (~tall(X0) & wise(X0))) [input p6]
18. ~creative(paul) & ~funny(paul) [input p17]
24. wise(paul) [input p23]
25. ~tall(paul) [input hypothesis]
28. ~funny(paul) [pur... | 0 |
If john is both not rich and funny then someone is either not calm or rich.
Everyone who is both quiet and not calm is not happy and vice versa.
Everyone who is both patient and not quiet is both not patient and rich.
If alice is brave or not creative then someone is quiet or not patient and vice versa.
If john is not ... | Lucy is strong. | contradiction | (((~rich(john)&funny(john)))=>(?[X]:((~calm(X)<~>rich(X)))))&
(![X]:((quiet(X)&~calm(X))<=>~happy(X)))&
(![X]:((patient(X)&~quiet(X))=>(~patient(X)&rich(X))))&
(((brave(alice)|~creative(alice)))<=>(?[X]:((quiet(X)|~patient(X)))))&
((~generous(john))<=>((~generous(susan)|old(susan))))&
((tall(alice))=>(?[X]:((~funny(X)<... | strong(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3315852353499247944750150
% SZS output start Proof for 3315852353499247944750150
20. brave(lucy) & ~strong(lucy) [input p19]
25. strong(lucy) [input hypothesis]
148. ~strong(lucy) [cnf transformation 20]
154. strong(lucy) [cnf transformation 25]
232. 18 <=> strong(lucy) [avatar definition... | 0 |
Everyone who is calm or not funny is both rich and not tall. Everyone who is curious is both not funny and not happy. Everyone who is both quiet and not generous is either funny or wise. Everyone who is either brave or not funny is both kind and not happy and vice versa. If paul is both not calm and humble then paul is... | Paul is generous. | contradiction | (![X]:((calm(X)|~funny(X))=>(rich(X)&~tall(X))))&
(![X]:(curious(X)=>(~funny(X)&~happy(X))))&
(![X]:((quiet(X)&~generous(X))=>(funny(X)<~>wise(X))))&
(![X]:((brave(X)<~>~funny(X))<=>(kind(X)&~happy(X))))&
(((~calm(paul)&humble(paul)))=>((humble(paul)&~tall(paul))))&
(![X]:((funny(X)|~generous(X))<=>(~funny(X)<~>brave(X... | generous(paul) | [
"p0",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7333720266219499075526055
% SZS output start Proof for 7333720266219499075526055
1. ! [X0] : ((~funny(X0) | calm(X0)) => (~tall(X0) & rich(X0))) [input p0]
6. ! [X0] : ((~generous(X0) | funny(X0)) <=> (~funny(X0) <~> brave(X0))) [input p5]
14. (~tall(mary) | ~wise(mary)) <=> (~brave(paul)... | 0 |
Everyone who is both quiet and brave is not curious or creative and vice versa. Everyone who is not humble is not brave. If someone is not calm or strong then someone is not strong. Everyone who is both not wise and not strong is either kind or not patient. Everyone who is not strong is happy or not patient. Everyone w... | Susan is brave. | entailment | (![X]:((quiet(X)&brave(X))<=>(~curious(X)|creative(X))))&
(![X]:(~humble(X)=>~brave(X)))&
((?[X]:((~calm(X)|strong(X))))=>(?[X]:(~strong(X))))&
(![X]:((~wise(X)&~strong(X))=>(kind(X)<~>~patient(X))))&
(![X]:(~strong(X)=>(happy(X)|~patient(X))))&
(![X]:((~curious(X)<~>~tall(X))<=>(~generous(X)&quiet(X))))&
(![X]:(~humbl... | brave(susan) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5297409306839462112717059
% SZS output start Proof for 5297409306839462112717059
1. ! [X0] : ((brave(X0) & quiet(X0)) <=> (creative(X0) | ~curious(X0))) [input p0]
10. ! [X0] : ((~curious(X0) & ~kind(X0)) <=> (curious(X0) | ~funny(X0))) [input p9]
21. ~brave(susan) [input hypothesis]
35. ... | 0 |
If someone is not strong then mary is either not curious or not rich.
If someone is either strong or not happy then someone is generous.
Everyone who is humble is quiet or not rich and vice versa.
If someone is not quiet or patient then fred is both humble and not old.
Everyone who is both not humble and not rich is ei... | Susan is not old. | entailment | ((?[X]:(~strong(X)))=>((~curious(mary)<~>~rich(mary))))&
((?[X]:((strong(X)<~>~happy(X))))=>(?[X]:(generous(X))))&
(![X]:(humble(X)<=>(quiet(X)|~rich(X))))&
((?[X]:((~quiet(X)|patient(X))))=>((humble(fred)&~old(fred))))&
(![X]:((~humble(X)&~rich(X))<=>(tall(X)<~>~patient(X))))&
(![X]:((~generous(X)&curious(X))=>generou... | ~old(susan) | [
"p2",
"p4",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1993817869346052573647959
% SZS output start Proof for 1993817869346052573647959
3. ! [X0] : (humble(X0) <=> (~rich(X0) | quiet(X0))) [input p2]
5. ! [X0] : ((~rich(X0) & ~humble(X0)) <=> (tall(X0) <~> ~patient(X0))) [input p4]
9. ! [X0] : ((~creative(X0) | old(X0)) => (~tall(X0) & ~gener... | 0 |
Everyone who is both creative and calm is old. If someone is both not quiet and not calm then fred is not old or calm and vice versa. Everyone who is both not creative and kind is not calm or rich and vice versa. If alice is both old and not calm then someone is quiet or happy and vice versa. Everyone who is kind is bo... | Paul is not generous. | entailment | (![X]:((creative(X)&calm(X))=>old(X)))&
((?[X]:((~quiet(X)&~calm(X))))<=>((~old(fred)|calm(fred))))&
(![X]:((~creative(X)&kind(X))<=>(~calm(X)|rich(X))))&
(((old(alice)&~calm(alice)))<=>(?[X]:((quiet(X)|happy(X)))))&
(![X]:(kind(X)=>(quiet(X)&generous(X))))&
((?[X]:((~kind(X)&~calm(X))))<=>(?[X]:((~curious(X)&~tall(X))... | ~generous(paul) | [
"p1",
"p2",
"p5",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8495553667015171816385188
% SZS output start Proof for 8495553667015171816385188
2. ? [X0] : (~calm(X0) & ~quiet(X0)) <=> (calm(fred) | ~old(fred)) [input p1]
3. ! [X0] : ((kind(X0) & ~creative(X0)) <=> (rich(X0) | ~calm(X0))) [input p2]
6. ? [X0] : (~calm(X0) & ~kind(X0)) <=> ? [X0] : (~... | 0 |
Everyone who is both not funny and wise is not generous or not kind and vice versa. If someone is humble or not generous then john is either not quiet or kind and vice versa. Everyone who is generous or humble is both wise and happy. If someone is both wise and creative then someone is funny or not brave. If susan is e... | Mary is not rich. | contradiction | (![X]:((~funny(X)&wise(X))<=>(~generous(X)|~kind(X))))&
((?[X]:((humble(X)|~generous(X))))<=>((~quiet(john)<~>kind(john))))&
(![X]:((generous(X)|humble(X))=>(wise(X)&happy(X))))&
((?[X]:((wise(X)&creative(X))))=>(?[X]:((funny(X)|~brave(X)))))&
(((happy(susan)<~>calm(susan)))=>(?[X]:((~brave(X)&~humble(X)))))&
((?[X]:((... | ~rich(mary) | [
"p2",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 130623688222790401685996
% SZS output start Proof for 130623688222790401685996
3. ! [X0] : ((humble(X0) | generous(X0)) => (happy(X0) & wise(X0))) [input p2]
5. (happy(susan) <~> calm(susan)) => ? [X0] : (~humble(X0) & ~brave(X0)) [input p4]
6. ? [X0] : (~humble(X0) | calm(X0)) <=> ~happy... | 0 |
Everyone who is not calm or rich is not funny or not curious and vice versa.
Everyone who is both not happy and wise is either not quiet or not funny and vice versa.
Everyone who is either tall or strong is not kind and vice versa.
If mary is not funny then someone is not calm.
If someone is both not creative and happy... | Mary is not kind. | entailment | (![X]:((~calm(X)|rich(X))<=>(~funny(X)|~curious(X))))&
(![X]:((~happy(X)&wise(X))<=>(~quiet(X)<~>~funny(X))))&
(![X]:((tall(X)<~>strong(X))<=>~kind(X)))&
((~funny(mary))=>(?[X]:(~calm(X))))&
((?[X]:((~creative(X)&happy(X))))<=>(?[X]:((generous(X)&~creative(X)))))&
(![X]:((~generous(X)|generous(X))=>happy(X)))&
(![X]:((... | ~kind(mary) | [
"p0",
"p1",
"p5",
"p6",
"p7",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 893039137718631483964683
% SZS output start Proof for 893039137718631483964683
1. ! [X0] : ((rich(X0) | ~calm(X0)) <=> (~curious(X0) | ~funny(X0))) [input p0]
2. ! [X0] : ((wise(X0) & ~happy(X0)) <=> (~quiet(X0) <~> ~funny(X0))) [input p1]
6. ! [X0] : ((generous(X0) | ~generous(X0)) => ha... | 0 |
If someone is either not calm or strong then someone is both calm and patient.
Everyone who is either not funny or not patient is not generous.
Everyone who is either not tall or not wise is kind.
Everyone who is generous is old or not old and vice versa.
If someone is brave or humble then lucy is both creative and not... | Alice is humble. | neutral | ((?[X]:((~calm(X)<~>strong(X))))=>(?[X]:((calm(X)&patient(X)))))&
(![X]:((~funny(X)<~>~patient(X))=>~generous(X)))&
(![X]:((~tall(X)<~>~wise(X))=>kind(X)))&
(![X]:(generous(X)<=>(old(X)|~old(X))))&
((?[X]:((brave(X)|humble(X))))<=>((creative(lucy)&~strong(lucy))))&
((?[X]:((~quiet(X)<~>wise(X))))=>(funny(fred)))&
(![X]... | humble(alice) | [] | null | 0 |
Everyone who is not kind or not creative is both quiet and not brave.
If mary is not kind or wise then paul is either not funny or not brave.
Everyone who is not rich is both not happy and not funny and vice versa.
If someone is not tall then paul is not creative.
If john is either not rich or not wise then fred is eit... | John is not wise. | entailment | (![X]:((~kind(X)|~creative(X))=>(quiet(X)&~brave(X))))&
(((~kind(mary)|wise(mary)))=>((~funny(paul)<~>~brave(paul))))&
(![X]:(~rich(X)<=>(~happy(X)&~funny(X))))&
((?[X]:(~tall(X)))=>(~creative(paul)))&
(((~rich(john)<~>~wise(john)))=>((~old(fred)<~>generous(fred))))&
(![X]:((~wise(X)&generous(X))=>~patient(X)))&
((?[X]... | ~wise(john) | [
"p0",
"p3",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3543483548845911077877711
% SZS output start Proof for 3543483548845911077877711
1. ! [X0] : ((~creative(X0) | ~kind(X0)) => (~brave(X0) & quiet(X0))) [input p0]
4. ? [X0] : ~tall(X0) => ~creative(paul) [input p3]
8. ! [X0] : ((happy(X0) & ~tall(X0)) <=> ~quiet(X0)) [input p7]
15. ! [X0] ... | 0 |
Everyone who is not brave is tall. If someone is both tall and not humble then mary is calm. If someone is not rich or not humble then john is tall or patient and vice versa. Everyone who is both not wise and not quiet is not funny. Everyone who is old or not strong is both kind and generous. Everyone who is either not... | Susan is not wise. | neutral | (![X]:(~brave(X)=>tall(X)))&
((?[X]:((tall(X)&~humble(X))))=>(calm(mary)))&
((?[X]:((~rich(X)|~humble(X))))<=>((tall(john)|patient(john))))&
(![X]:((~wise(X)&~quiet(X))=>~funny(X)))&
(![X]:((old(X)|~strong(X))=>(kind(X)&generous(X))))&
(![X]:((~patient(X)<~>wise(X))<=>(strong(X)&~wise(X))))&
((?[X]:((old(X)&~calm(X))))... | ~wise(susan) | [] | null | 0 |
If someone is both strong and happy then paul is either not funny or kind and vice versa.
If someone is both patient and not happy then lucy is curious or humble and vice versa.
Everyone who is not quiet or happy is either not rich or brave.
Everyone who is both not happy and not generous is generous or not generous an... | Susan is wise. | entailment | ((?[X]:((strong(X)&happy(X))))<=>((~funny(paul)<~>kind(paul))))&
((?[X]:((patient(X)&~happy(X))))<=>((curious(lucy)|humble(lucy))))&
(![X]:((~quiet(X)|happy(X))=>(~rich(X)<~>brave(X))))&
(![X]:((~happy(X)&~generous(X))<=>(generous(X)|~generous(X))))&
((?[X]:((~generous(X)<~>~tall(X))))=>((creative(alice)<~>~quiet(alice... | wise(susan) | [
"p3",
"p5",
"p7",
"p8",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5302740587589242392837284
% SZS output start Proof for 5302740587589242392837284
4. ! [X0] : ((~generous(X0) & ~happy(X0)) <=> (~generous(X0) | generous(X0))) [input p3]
6. ! [X0] : ((humble(X0) | ~quiet(X0)) <=> (~quiet(X0) <~> calm(X0))) [input p5]
8. ! [X0] : ((generous(X0) | ~old(X0))... | 0 |
Everyone who is either calm or strong is not humble or old. Everyone who is quiet is either not patient or wise. If someone is either quiet or not tall then susan is brave or not rich and vice versa. If someone is either happy or old then someone is either not rich or rich. If mary is either not creative or calm then s... | Mary is not kind. | neutral | (![X]:((calm(X)<~>strong(X))=>(~humble(X)|old(X))))&
(![X]:(quiet(X)=>(~patient(X)<~>wise(X))))&
((?[X]:((quiet(X)<~>~tall(X))))<=>((brave(susan)|~rich(susan))))&
((?[X]:((happy(X)<~>old(X))))=>(?[X]:((~rich(X)<~>rich(X)))))&
(((~creative(mary)<~>calm(mary)))=>(?[X]:(creative(X))))&
(![X]:((~patient(X)<~>patient(X))=>(... | ~kind(mary) | [] | null | 0 |
Everyone who is not brave is both humble and not curious. If someone is both happy and not calm then someone is either rich or not generous and vice versa. If fred is not funny then susan is either brave or not kind and vice versa. Everyone who is kind or curious is both brave and calm and vice versa. Everyone who is e... | Mary is kind. | contradiction | (![X]:(~brave(X)=>(humble(X)&~curious(X))))&
((?[X]:((happy(X)&~calm(X))))<=>(?[X]:((rich(X)<~>~generous(X)))))&
((~funny(fred))<=>((brave(susan)<~>~kind(susan))))&
(![X]:((kind(X)|curious(X))<=>(brave(X)&calm(X))))&
(![X]:((~patient(X)<~>~creative(X))=>(strong(X)|wise(X))))&
(((brave(paul)<~>kind(paul)))<=>(quiet(susa... | kind(mary) | [
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3381762105321726446260417
% SZS output start Proof for 3381762105321726446260417
4. ! [X0] : ((curious(X0) | kind(X0)) <=> (calm(X0) & brave(X0))) [input p3]
19. ~brave(mary) [input p18]
25. kind(mary) [input hypothesis]
43. ! [X0] : (((curious(X0) | kind(X0)) | (~calm(X0) | ~brave(X0))) ... | 0 |
Everyone who is not creative or generous is not wise or rich and vice versa. Everyone who is not funny or wise is either not creative or not strong and vice versa. Everyone who is both calm and not wise is either kind or not generous and vice versa. If fred is not wise or not patient then john is both wise and not tall... | Lucy is wise. | neutral | (![X]:((~creative(X)|generous(X))<=>(~wise(X)|rich(X))))&
(![X]:((~funny(X)|wise(X))<=>(~creative(X)<~>~strong(X))))&
(![X]:((calm(X)&~wise(X))<=>(kind(X)<~>~generous(X))))&
(((~wise(fred)|~patient(fred)))<=>((wise(john)&~tall(john))))&
(![X]:((calm(X)&~old(X))<=>(~brave(X)|old(X))))&
((?[X]:((wise(X)|curious(X))))=>((... | wise(lucy) | [] | null | 0 |
Everyone who is not patient or not curious is either not generous or strong and vice versa. If alice is both patient and not happy then someone is either kind or happy. If lucy is not generous then someone is either tall or brave. If paul is not strong then someone is not tall or not calm and vice versa. If alice is bo... | Mary is not funny. | entailment | (![X]:((~patient(X)|~curious(X))<=>(~generous(X)<~>strong(X))))&
(((patient(alice)&~happy(alice)))=>(?[X]:((kind(X)<~>happy(X)))))&
((~generous(lucy))=>(?[X]:((tall(X)<~>brave(X)))))&
((~strong(paul))<=>(?[X]:((~tall(X)|~calm(X)))))&
(((calm(alice)&brave(alice)))=>(happy(mary)))&
(![X]:((quiet(X)<~>~wise(X))<=>(~funny(... | ~funny(mary) | [
"p5",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3758222296767623896658831
% SZS output start Proof for 3758222296767623896658831
6. ! [X0] : ((quiet(X0) <~> ~wise(X0)) <=> (~wise(X0) & ~funny(X0))) [input p5]
16. ! [X0] : ((~brave(X0) | ~quiet(X0)) => (~wise(X0) & calm(X0))) [input p15]
21. ~quiet(mary) & happy(mary) [input p20]
23. fu... | 0 |
If susan is both not calm and curious then someone is not brave or not creative and vice versa.
Everyone who is either curious or brave is quiet and vice versa.
If someone is quiet then john is not brave and vice versa.
If alice is either patient or strong then mary is both not creative and not tall.
Everyone who is no... | Lucy is tall. | entailment | (((~calm(susan)&curious(susan)))<=>(?[X]:((~brave(X)|~creative(X)))))&
(![X]:((curious(X)<~>brave(X))<=>quiet(X)))&
((?[X]:(quiet(X)))<=>(~brave(john)))&
(((patient(alice)<~>strong(alice)))=>((~creative(mary)&~tall(mary))))&
(![X]:(~strong(X)=>(tall(X)&~creative(X))))&
((?[X]:(kind(X)))=>(?[X]:(~patient(X))))&
((?[X]:(... | tall(lucy) | [
"p1",
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 792102232461358573557974
% SZS output start Proof for 792102232461358573557974
2. ! [X0] : ((curious(X0) <~> brave(X0)) <=> quiet(X0)) [input p1]
5. ! [X0] : (~strong(X0) => (~creative(X0) & tall(X0))) [input p4]
11. ! [X0] : (quiet(X0) => (calm(X0) & tall(X0))) [input p10]
14. ! [X0] : (... | 0 |
Everyone who is either brave or not curious is wise or not tall and vice versa.
Everyone who is either patient or calm is not strong.
Everyone who is not patient is not curious or not brave.
Everyone who is either curious or not generous is either old or not quiet.
Everyone who is either quiet or not curious is both no... | Lucy is quiet. | contradiction | (![X]:((brave(X)<~>~curious(X))<=>(wise(X)|~tall(X))))&
(![X]:((patient(X)<~>calm(X))=>~strong(X)))&
(![X]:(~patient(X)=>(~curious(X)|~brave(X))))&
(![X]:((curious(X)<~>~generous(X))=>(old(X)<~>~quiet(X))))&
(![X]:((quiet(X)<~>~curious(X))<=>(~brave(X)&~old(X))))&
(![X]:((happy(X)|quiet(X))=>(quiet(X)&~funny(X))))&
((?... | quiet(lucy) | [
"p5",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 484211322164775195283827
% SZS output start Proof for 484211322164775195283827
6. ! [X0] : ((quiet(X0) | happy(X0)) => (~funny(X0) & quiet(X0))) [input p5]
12. ! [X0] : (wise(X0) <=> (~funny(X0) <~> quiet(X0))) [input p11]
15. ! [X0] : ((~rich(X0) & funny(X0)) <=> (rich(X0) | happy(X0))) ... | 0 |
If someone is not brave or quiet then alice is not funny or happy.
If someone is either not happy or not calm then paul is both not calm and not rich and vice versa.
If mary is both funny and not wise then someone is either curious or not tall and vice versa.
Everyone who is creative is both not old and not generous an... | Mary is not tall. | contradiction | ((?[X]:((~brave(X)|quiet(X))))=>((~funny(alice)|happy(alice))))&
((?[X]:((~happy(X)<~>~calm(X))))<=>((~calm(paul)&~rich(paul))))&
(((funny(mary)&~wise(mary)))<=>(?[X]:((curious(X)<~>~tall(X)))))&
(![X]:(creative(X)<=>(~old(X)&~generous(X))))&
(![X]:((~calm(X)<~>calm(X))<=>(generous(X)&wise(X))))&
(![X]:((~calm(X)&~gene... | ~tall(mary) | [
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1943590620185260575219913
% SZS output start Proof for 1943590620185260575219913
5. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> (wise(X0) & generous(X0))) [input p4]
6. ! [X0] : ((~generous(X0) & ~calm(X0)) <=> (~generous(X0) | ~happy(X0))) [input p5]
9. ! [X0] : (~happy(X0) <=> (funny(X0) | ~... | 0 |
If someone is either not kind or not humble then fred is both not rich and not funny and vice versa. Everyone who is kind is either strong or patient. Everyone who is generous or not happy is both calm and not creative and vice versa. Everyone who is either quiet or not calm is both funny and creative and vice versa. I... | Paul is not calm. | contradiction | ((?[X]:((~kind(X)<~>~humble(X))))<=>((~rich(fred)&~funny(fred))))&
(![X]:(kind(X)=>(strong(X)<~>patient(X))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&... | ~calm(paul) | [
"p2",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 661073914489699522558958
% SZS output start Proof for 661073914489699522558958
3. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p2]
9. ! [X0] : ((tall(X0) | ~quiet(X0)) <=> generous(X0)) [input p8]
13. ! [X0] : ((generous(X0) | quiet(X0)) <=> (generous(X0) <... | 0 |
Everyone who is not kind or tall is both not wise and tall. Everyone who is strong or happy is tall. Everyone who is not creative or kind is either old or not curious and vice versa. Everyone who is either creative or not patient is not strong and vice versa. Everyone who is both creative and not rich is both creative ... | Susan is not humble. | entailment | (![X]:((~kind(X)|tall(X))=>(~wise(X)&tall(X))))&
(![X]:((strong(X)|happy(X))=>tall(X)))&
(![X]:((~creative(X)|kind(X))<=>(old(X)<~>~curious(X))))&
(![X]:((creative(X)<~>~patient(X))<=>~strong(X)))&
(![X]:((creative(X)&~rich(X))<=>(creative(X)&happy(X))))&
(![X]:((~rich(X)|patient(X))=>curious(X)))&
((~strong(alice))<=>... | ~humble(susan) | [
"p0",
"p1",
"p2",
"p8",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1850337716335205444564124
% SZS output start Proof for 1850337716335205444564124
1. ! [X0] : ((tall(X0) | ~kind(X0)) => (tall(X0) & ~wise(X0))) [input p0]
2. ! [X0] : ((happy(X0) | strong(X0)) => tall(X0)) [input p1]
3. ! [X0] : ((kind(X0) | ~creative(X0)) <=> (old(X0) <~> ~curious(X0))) ... | 0 |
Everyone who is either not calm or kind is not quiet or not tall and vice versa. If mary is both quiet and happy then someone is both not quiet and not rich. If someone is both not kind and not funny then someone is not tall or funny. Everyone who is wise is either not rich or tall and vice versa. If someone is either ... | Alice is not creative. | neutral | (![X]:((~calm(X)<~>kind(X))<=>(~quiet(X)|~tall(X))))&
(((quiet(mary)&happy(mary)))=>(?[X]:((~quiet(X)&~rich(X)))))&
((?[X]:((~kind(X)&~funny(X))))=>(?[X]:((~tall(X)|funny(X)))))&
(![X]:(wise(X)<=>(~rich(X)<~>tall(X))))&
((?[X]:((curious(X)<~>~happy(X))))<=>((happy(john)&~brave(john))))&
(![X]:((~old(X)<~>~brave(X))=>(~... | ~creative(alice) | [] | null | 0 |
If alice is funny or rich then alice is brave.
If someone is either wise or patient then someone is humble and vice versa.
Everyone who is both tall and happy is both rich and not calm and vice versa.
Everyone who is not patient or curious is either old or wise and vice versa.
If someone is not tall then someone is wis... | Lucy is humble. | entailment | (((funny(alice)|rich(alice)))=>(brave(alice)))&
((?[X]:((wise(X)<~>patient(X))))<=>(?[X]:(humble(X))))&
(![X]:((tall(X)&happy(X))<=>(rich(X)&~calm(X))))&
(![X]:((~patient(X)|curious(X))<=>(old(X)<~>wise(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((wise(X)|old(X)))))&
((?[X]:((wise(X)<~>humble(X))))=>((~tall(mary)|~patient(mary)... | humble(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2962126076077235683644413
% SZS output start Proof for 2962126076077235683644413
13. ! [X0] : (~strong(X0) <=> (strong(X0) <~> humble(X0))) [input p12]
23. ~humble(lucy) [input hypothesis]
64. ! [X0] : ((~strong(X0) | ((strong(X0) | ~humble(X0)) & (humble(X0) | ~strong(X0)))) & (((~humble... | 0 |
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