premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is patient or happy then fred is not strong.
Everyone who is both tall and not generous is calm.
If someone is not wise or creative then someone is patient and vice versa.
Everyone who is not strong or not generous is both kind and not rich and vice versa.
Everyone who is either not patient or not happy is n... | Fred is kind. | entailment | ((?[X]:((patient(X)|happy(X))))=>(~strong(fred)))&
(![X]:((tall(X)&~generous(X))=>calm(X)))&
((?[X]:((~wise(X)|creative(X))))<=>(?[X]:(patient(X))))&
(![X]:((~strong(X)|~generous(X))<=>(kind(X)&~rich(X))))&
(![X]:((~patient(X)<~>~happy(X))<=>(~strong(X)|patient(X))))&
(![X]:(funny(X)=>(~quiet(X)|~kind(X))))&
(![X]:((~s... | kind(fred) | [
"p0",
"p2",
"p3",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5871620479330813233572537
% SZS output start Proof for 5871620479330813233572537
1. ? [X0] : (happy(X0) | patient(X0)) => ~strong(fred) [input p0]
3. ? [X0] : (creative(X0) | ~wise(X0)) <=> ? [X0] : patient(X0) [input p2]
4. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> (~rich(X0) & kind(X0... | 0 |
Everyone who is not creative is creative or strong. If someone is either brave or humble then alice is both not curious and not generous. If someone is both calm and patient then john is both not generous and not funny and vice versa. Everyone who is both not creative and not humble is not brave or not wise and vice ve... | Mary is not quiet. | entailment | (![X]:(~creative(X)=>(creative(X)|strong(X))))&
((?[X]:((brave(X)<~>humble(X))))=>((~curious(alice)&~generous(alice))))&
((?[X]:((calm(X)&patient(X))))<=>((~generous(john)&~funny(john))))&
(![X]:((~creative(X)&~humble(X))<=>(~brave(X)|~wise(X))))&
(![X]:(~wise(X)<=>(rich(X)&~wise(X))))&
(![X]:((~generous(X)|humble(X))<... | ~quiet(mary) | [
"p3",
"p5",
"p11",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5930203498553744931653485
% SZS output start Proof for 5930203498553744931653485
4. ! [X0] : ((~humble(X0) & ~creative(X0)) <=> (~wise(X0) | ~brave(X0))) [input p3]
6. ! [X0] : ((humble(X0) | ~generous(X0)) <=> (~brave(X0) & ~calm(X0))) [input p5]
12. ! [X0] : ((quiet(X0) & ~creative(X0))... | 0 |
If susan is either not generous or not patient then someone is happy and vice versa.
Everyone who is not generous or not quiet is old.
Everyone who is either not old or humble is both happy and not funny and vice versa.
Everyone who is both funny and calm is strong and vice versa.
If mary is both tall and not quiet the... | Fred is strong. | entailment | (((~generous(susan)<~>~patient(susan)))<=>(?[X]:(happy(X))))&
(![X]:((~generous(X)|~quiet(X))=>old(X)))&
(![X]:((~old(X)<~>humble(X))<=>(happy(X)&~funny(X))))&
(![X]:((funny(X)&calm(X))<=>strong(X)))&
(((tall(mary)&~quiet(mary)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((patient(X)&strong(X))=>~kind(X)))&
((?[X]:((~quiet... | strong(fred) | [
"p1",
"p2",
"p3",
"p6",
"p7",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3918769855855562585242470
% SZS output start Proof for 3918769855855562585242470
2. ! [X0] : ((~quiet(X0) | ~generous(X0)) => old(X0)) [input p1]
3. ! [X0] : ((~old(X0) <~> humble(X0)) <=> (~funny(X0) & happy(X0))) [input p2]
4. ! [X0] : ((calm(X0) & funny(X0)) <=> strong(X0)) [input p3]
... | 0 |
Everyone who is not brave or curious is both not rich and rich and vice versa.
If someone is both not patient and strong then someone is either not wise or patient.
If mary is curious then fred is both quiet and not creative and vice versa.
Everyone who is both creative and not quiet is not humble.
Everyone who is not ... | John is funny. | neutral | (![X]:((~brave(X)|curious(X))<=>(~rich(X)&rich(X))))&
((?[X]:((~patient(X)&strong(X))))=>(?[X]:((~wise(X)<~>patient(X)))))&
((curious(mary))<=>((quiet(fred)&~creative(fred))))&
(![X]:((creative(X)&~quiet(X))=>~humble(X)))&
(![X]:((~old(X)|~brave(X))<=>~tall(X)))&
((?[X]:(~brave(X)))=>((~creative(john)|wise(john))))&
(!... | funny(john) | [] | null | 0 |
Everyone who is both not kind and not strong is calm or not calm.
If susan is not humble or not patient then someone is old or not calm and vice versa.
If lucy is either creative or calm then lucy is both not wise and not funny and vice versa.
If someone is both strong and not brave then john is either strong or old an... | John is not funny. | neutral | (![X]:((~kind(X)&~strong(X))=>(calm(X)|~calm(X))))&
(((~humble(susan)|~patient(susan)))<=>(?[X]:((old(X)|~calm(X)))))&
(((creative(lucy)<~>calm(lucy)))<=>((~wise(lucy)&~funny(lucy))))&
((?[X]:((strong(X)&~brave(X))))<=>((strong(john)<~>old(john))))&
(![X]:((~calm(X)<~>~curious(X))=>(quiet(X)<~>curious(X))))&
(((~brave(... | ~funny(john) | [] | null | 0 |
If paul is either not happy or not kind then someone is either not creative or not calm.
If alice is funny then someone is not curious or rich and vice versa.
Everyone who is both happy and not patient is both not rich and quiet and vice versa.
If someone is not curious then someone is either not wise or not curious.
E... | Lucy is not generous. | neutral | (((~happy(paul)<~>~kind(paul)))=>(?[X]:((~creative(X)<~>~calm(X)))))&
((funny(alice))<=>(?[X]:((~curious(X)|rich(X)))))&
(![X]:((happy(X)&~patient(X))<=>(~rich(X)&quiet(X))))&
((?[X]:(~curious(X)))=>(?[X]:((~wise(X)<~>~curious(X)))))&
(![X]:((brave(X)<~>strong(X))<=>(~strong(X)<~>rich(X))))&
(![X]:((~wise(X)&quiet(X))=... | ~generous(lucy) | [] | null | 0 |
Everyone who is both not tall and strong is funny and vice versa.
Everyone who is both curious and kind is not quiet or happy and vice versa.
Everyone who is not patient is not curious.
Everyone who is not patient or strong is either not quiet or humble.
Everyone who is not tall or not creative is humble and vice versa... | Fred is not old. | neutral | (![X]:((~tall(X)&strong(X))<=>funny(X)))&
(![X]:((curious(X)&kind(X))<=>(~quiet(X)|happy(X))))&
(![X]:(~patient(X)=>~curious(X)))&
(![X]:((~patient(X)|strong(X))=>(~quiet(X)<~>humble(X))))&
(![X]:((~tall(X)|~creative(X))<=>humble(X)))&
(![X]:(quiet(X)<=>(~generous(X)&rich(X))))&
(![X]:((~humble(X)&creative(X))=>patient... | ~old(fred) | [] | null | 0 |
Everyone who is either not quiet or kind is both not humble and not happy. Everyone who is rich or kind is not generous or funny and vice versa. If someone is not strong or creative then fred is humble. Everyone who is both humble and patient is kind or not old. If lucy is creative or not quiet then someone is wise or ... | John is curious. | neutral | (![X]:((~quiet(X)<~>kind(X))=>(~humble(X)&~happy(X))))&
(![X]:((rich(X)|kind(X))<=>(~generous(X)|funny(X))))&
((?[X]:((~strong(X)|creative(X))))=>(humble(fred)))&
(![X]:((humble(X)&patient(X))=>(kind(X)|~old(X))))&
(((creative(lucy)|~quiet(lucy)))=>(?[X]:((wise(X)|brave(X)))))&
(![X]:((~humble(X)<~>rich(X))=>(~generous... | curious(john) | [] | null | 0 |
If lucy is both quiet and tall then someone is either not patient or not curious and vice versa. Everyone who is happy is calm or quiet and vice versa. If someone is curious or not rich then someone is not funny and vice versa. If someone is both not strong and tall then susan is kind and vice versa. Everyone who is ol... | Fred is not wise. | neutral | (((quiet(lucy)&tall(lucy)))<=>(?[X]:((~patient(X)<~>~curious(X)))))&
(![X]:(happy(X)<=>(calm(X)|quiet(X))))&
((?[X]:((curious(X)|~rich(X))))<=>(?[X]:(~funny(X))))&
((?[X]:((~strong(X)&tall(X))))<=>(kind(susan)))&
(![X]:(old(X)=>wise(X)))&
(((~strong(john)|brave(john)))=>((~patient(lucy)|rich(lucy))))&
(![X]:((patient(X... | ~wise(fred) | [] | null | 0 |
If someone is both brave and strong then john is either wise or creative and vice versa.
Everyone who is either not kind or creative is both tall and not patient.
Everyone who is strong is either creative or not curious and vice versa.
If someone is not wise or not kind then someone is not calm or wise.
Everyone who is... | Fred is generous. | entailment | ((?[X]:((brave(X)&strong(X))))<=>((wise(john)<~>creative(john))))&
(![X]:((~kind(X)<~>creative(X))=>(tall(X)&~patient(X))))&
(![X]:(strong(X)<=>(creative(X)<~>~curious(X))))&
((?[X]:((~wise(X)|~kind(X))))=>(?[X]:((~calm(X)|wise(X)))))&
(![X]:((calm(X)|~humble(X))<=>creative(X)))&
((?[X]:(~rich(X)))=>(?[X]:((~old(X)<~>t... | generous(fred) | [
"p7",
"p9",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4256801424735420626964169
% SZS output start Proof for 4256801424735420626964169
8. ! [X0] : ((generous(X0) | brave(X0)) <=> (kind(X0) <~> ~strong(X0))) [input p7]
10. (~kind(fred) & old(fred)) <=> kind(john) [input p9]
16. ! [X0] : ((~generous(X0) <~> ~strong(X0)) <=> brave(X0)) [input p... | 0 |
If paul is either not curious or not calm then someone is not humble and vice versa.
If someone is either not patient or not funny then paul is both not tall and not funny and vice versa.
If paul is both not wise and tall then someone is either brave or old and vice versa.
Everyone who is either wise or brave is both n... | Lucy is not creative. | neutral | (((~curious(paul)<~>~calm(paul)))<=>(?[X]:(~humble(X))))&
((?[X]:((~patient(X)<~>~funny(X))))<=>((~tall(paul)&~funny(paul))))&
(((~wise(paul)&tall(paul)))<=>(?[X]:((brave(X)<~>old(X)))))&
(![X]:((wise(X)<~>brave(X))=>(~wise(X)&~humble(X))))&
((~curious(susan))=>(?[X]:((tall(X)|funny(X)))))&
(![X]:((~patient(X)&generous... | ~creative(lucy) | [] | null | 0 |
If fred is kind or brave then alice is either not wise or not patient. Everyone who is wise is not strong and vice versa. Everyone who is both creative and rich is both not tall and kind and vice versa. If john is calm then fred is strong. Everyone who is not quiet is both quiet and not wise and vice versa. Everyone wh... | Paul is humble. | neutral | (((kind(fred)|brave(fred)))=>((~wise(alice)<~>~patient(alice))))&
(![X]:(wise(X)<=>~strong(X)))&
(![X]:((creative(X)&rich(X))<=>(~tall(X)&kind(X))))&
((calm(john))=>(strong(fred)))&
(![X]:(~quiet(X)<=>(quiet(X)&~wise(X))))&
(![X]:((~kind(X)<~>happy(X))=>(rich(X)<~>happy(X))))&
(![X]:(rich(X)=>(~calm(X)|strong(X))))&
(!... | humble(paul) | [] | null | 0 |
Everyone who is not old is either generous or old and vice versa. If someone is either not creative or not quiet then someone is not strong or tall and vice versa. Everyone who is either humble or not quiet is not funny or wise. If someone is old or not rich then someone is generous or patient and vice versa. If someon... | Alice is not wise. | neutral | (![X]:(~old(X)<=>(generous(X)<~>old(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))<=>(?[X]:((~strong(X)|tall(X)))))&
(![X]:((humble(X)<~>~quiet(X))=>(~funny(X)|wise(X))))&
((?[X]:((old(X)|~rich(X))))<=>(?[X]:((generous(X)|patient(X)))))&
((?[X]:((old(X)|~rich(X))))<=>((~old(john)&~wise(john))))&
((?[X]:((happy(X)|~generou... | ~wise(alice) | [] | null | 0 |
Everyone who is old is funny and vice versa.
If alice is not calm then paul is both not calm and not happy and vice versa.
Everyone who is strong or not creative is either creative or strong.
Everyone who is calm or kind is both tall and quiet.
If susan is not old then mary is not happy or calm.
Everyone who is not ric... | Susan is funny. | contradiction | (![X]:(old(X)<=>funny(X)))&
((~calm(alice))<=>((~calm(paul)&~happy(paul))))&
(![X]:((strong(X)|~creative(X))=>(creative(X)<~>strong(X))))&
(![X]:((calm(X)|kind(X))=>(tall(X)&quiet(X))))&
((~old(susan))=>((~happy(mary)|calm(mary))))&
(![X]:((~rich(X)|tall(X))=>(happy(X)|brave(X))))&
((?[X]:((~quiet(X)|old(X))))=>(?[X]:(... | funny(susan) | [
"p0",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1672250274683678271789489
% SZS output start Proof for 1672250274683678271789489
1. ! [X0] : (old(X0) <=> funny(X0)) [input p0]
8. ! [X0] : ((funny(X0) <~> ~old(X0)) <=> (~funny(X0) & humble(X0))) [input p7]
24. funny(susan) [input hypothesis]
39. ! [X0] : ((old(X0) | ~funny(X0)) & (funny... | 0 |
If someone is creative or not funny then someone is both wise and not happy and vice versa.
If someone is not curious or generous then lucy is rich or not old.
Everyone who is funny or not tall is either not creative or not generous.
If fred is both not humble and generous then john is wise.
If alice is either not pati... | John is strong. | neutral | ((?[X]:((creative(X)|~funny(X))))<=>(?[X]:((wise(X)&~happy(X)))))&
((?[X]:((~curious(X)|generous(X))))=>((rich(lucy)|~old(lucy))))&
(![X]:((funny(X)|~tall(X))=>(~creative(X)<~>~generous(X))))&
(((~humble(fred)&generous(fred)))=>(wise(john)))&
(((~patient(alice)<~>brave(alice)))=>(?[X]:(~curious(X))))&
(![X]:(~humble(X)... | strong(john) | [] | null | 0 |
If lucy is both brave and patient then mary is humble. Everyone who is either wise or not humble is both not old and not wise. If someone is both not humble and funny then paul is either not funny or not curious. If mary is not happy or not humble then someone is either creative or curious. Everyone who is not generous... | Alice is wise. | neutral | (((brave(lucy)&patient(lucy)))=>(humble(mary)))&
(![X]:((wise(X)<~>~humble(X))=>(~old(X)&~wise(X))))&
((?[X]:((~humble(X)&funny(X))))=>((~funny(paul)<~>~curious(paul))))&
(((~happy(mary)|~humble(mary)))=>(?[X]:((creative(X)<~>curious(X)))))&
(![X]:(~generous(X)=>(wise(X)|~quiet(X))))&
(![X]:(~happy(X)=>(~generous(X)|~s... | wise(alice) | [] | null | 0 |
If lucy is both tall and not humble then someone is curious and vice versa.
Everyone who is both not brave and old is quiet.
If someone is rich then fred is both curious and not kind and vice versa.
If someone is either generous or curious then someone is both generous and not curious.
Everyone who is either calm or no... | John is not curious. | contradiction | (((tall(lucy)&~humble(lucy)))<=>(?[X]:(curious(X))))&
(![X]:((~brave(X)&old(X))=>quiet(X)))&
((?[X]:(rich(X)))<=>((curious(fred)&~kind(fred))))&
((?[X]:((generous(X)<~>curious(X))))=>(?[X]:((generous(X)&~curious(X)))))&
(![X]:((calm(X)<~>~creative(X))<=>funny(X)))&
((~kind(mary))=>(?[X]:((brave(X)|~generous(X)))))&
(![... | ~curious(john) | [
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5689425388256721175206612
% SZS output start Proof for 5689425388256721175206612
7. ! [X0] : ((funny(X0) | strong(X0)) => (~tall(X0) & quiet(X0))) [input p6]
11. ! [X0] : ((funny(X0) | ~strong(X0)) <=> (curious(X0) & brave(X0))) [input p10]
13. ! [X0] : ((wise(X0) & curious(X0)) <=> (~cal... | 0 |
If lucy is either not creative or not funny then mary is either calm or not strong. If someone is either creative or not humble then susan is both not kind and humble. Everyone who is either not tall or not strong is not patient and vice versa. Everyone who is not old or patient is either happy or not rich. If someone ... | Fred is tall. | contradiction | (((~creative(lucy)<~>~funny(lucy)))=>((calm(mary)<~>~strong(mary))))&
((?[X]:((creative(X)<~>~humble(X))))=>((~kind(susan)&humble(susan))))&
(![X]:((~tall(X)<~>~strong(X))<=>~patient(X)))&
(![X]:((~old(X)|patient(X))=>(happy(X)<~>~rich(X))))&
((?[X]:((creative(X)|~generous(X))))<=>(?[X]:((wise(X)|curious(X)))))&
(![X]:... | tall(fred) | [
"p5",
"p7",
"p10",
"p12",
"p14",
"p15",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7398233248038048447418916
% SZS output start Proof for 7398233248038048447418916
6. ! [X0] : ((strong(X0) | ~funny(X0)) => quiet(X0)) [input p5]
8. ! [X0] : ((~wise(X0) | patient(X0)) => (funny(X0) | wise(X0))) [input p7]
11. ! [X0] : ((~funny(X0) | ~rich(X0)) <=> ~calm(X0)) [input p10]
1... | 0 |
Everyone who is not old is both brave and humble. If someone is not strong or not rich then fred is both not tall and not happy. Everyone who is tall or not strong is either patient or not old. If someone is not rich or not wise then someone is humble or not kind and vice versa. If fred is not humble then someone is ca... | Paul is funny. | contradiction | (![X]:(~old(X)=>(brave(X)&humble(X))))&
((?[X]:((~strong(X)|~rich(X))))=>((~tall(fred)&~happy(fred))))&
(![X]:((tall(X)|~strong(X))=>(patient(X)<~>~old(X))))&
((?[X]:((~rich(X)|~wise(X))))<=>(?[X]:((humble(X)|~kind(X)))))&
((~humble(fred))=>(?[X]:(calm(X))))&
((?[X]:(~curious(X)))=>(?[X]:(~brave(X))))&
(![X]:((~funny(X... | funny(paul) | [
"p6",
"p11",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8198549334129216537371348
% SZS output start Proof for 8198549334129216537371348
7. ! [X0] : ((rich(X0) & ~funny(X0)) <=> wise(X0)) [input p6]
12. ! [X0] : ((~curious(X0) <~> ~old(X0)) <=> (wise(X0) & ~generous(X0))) [input p11]
14. ! [X0] : ((~kind(X0) & creative(X0)) <=> (~old(X0) | wis... | 0 |
Everyone who is not tall or rich is both not wise and generous and vice versa.
If someone is not wise or not strong then someone is both not creative and creative.
Everyone who is either not funny or not quiet is either not wise or curious and vice versa.
Everyone who is either not creative or not old is both happy and... | Mary is curious. | neutral | (![X]:((~tall(X)|rich(X))<=>(~wise(X)&generous(X))))&
((?[X]:((~wise(X)|~strong(X))))=>(?[X]:((~creative(X)&creative(X)))))&
(![X]:((~funny(X)<~>~quiet(X))<=>(~wise(X)<~>curious(X))))&
(![X]:((~creative(X)<~>~old(X))<=>(happy(X)&~wise(X))))&
(![X]:(~creative(X)=>funny(X)))&
(![X]:((~wise(X)<~>creative(X))<=>curious(X))... | curious(mary) | [] | null | 0 |
Everyone who is both not creative and not quiet is not strong or not humble and vice versa.
If paul is both strong and kind then someone is either funny or rich.
If someone is either not brave or not old then someone is both not brave and not generous.
Everyone who is either quiet or tall is either not happy or generou... | Alice is funny. | entailment | (![X]:((~creative(X)&~quiet(X))<=>(~strong(X)|~humble(X))))&
(((strong(paul)&kind(paul)))=>(?[X]:((funny(X)<~>rich(X)))))&
((?[X]:((~brave(X)<~>~old(X))))=>(?[X]:((~brave(X)&~generous(X)))))&
(![X]:((quiet(X)<~>tall(X))<=>(~happy(X)<~>generous(X))))&
((?[X]:((generous(X)|~funny(X))))=>(?[X]:((~tall(X)&~funny(X)))))&
(!... | funny(alice) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6122402908672538743538257
% SZS output start Proof for 6122402908672538743538257
5. ? [X0] : (~funny(X0) | generous(X0)) => ? [X0] : (~funny(X0) & ~tall(X0)) [input p4]
13. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> ~curious(X0)) [input p12]
24. ~funny(alice) [input hypothesis]
26. ? [X0]... | 0 |
If alice is not funny then paul is both patient and not tall.
If susan is both kind and not quiet then someone is not quiet.
If susan is both happy and not strong then susan is either humble or funny and vice versa.
Everyone who is generous is either brave or rich.
Everyone who is patient or not generous is both wise a... | John is happy. | neutral | ((~funny(alice))=>((patient(paul)&~tall(paul))))&
(((kind(susan)&~quiet(susan)))=>(?[X]:(~quiet(X))))&
(((happy(susan)&~strong(susan)))<=>((humble(susan)<~>funny(susan))))&
(![X]:(generous(X)=>(brave(X)<~>rich(X))))&
(![X]:((patient(X)|~generous(X))=>(wise(X)&rich(X))))&
((~tall(paul))=>(?[X]:((humble(X)&~tall(X)))))&
... | happy(john) | [] | null | 0 |
Everyone who is either calm or rich is both old and not calm. Everyone who is not calm is funny. Everyone who is both creative and not rich is either not brave or curious. Everyone who is either creative or funny is both patient and old. Everyone who is either funny or not kind is both generous and not kind. If paul is... | Paul is not curious. | neutral | (![X]:((calm(X)<~>rich(X))=>(old(X)&~calm(X))))&
(![X]:(~calm(X)=>funny(X)))&
(![X]:((creative(X)&~rich(X))=>(~brave(X)<~>curious(X))))&
(![X]:((creative(X)<~>funny(X))=>(patient(X)&old(X))))&
(![X]:((funny(X)<~>~kind(X))=>(generous(X)&~kind(X))))&
(((generous(paul)&~humble(paul)))<=>((~old(lucy)&wise(lucy))))&
(((~tal... | ~curious(paul) | [] | null | 0 |
If paul is either not generous or humble then someone is not rich or not curious.
Everyone who is both not creative and not patient is strong or not calm.
If someone is either not calm or creative then susan is either not happy or generous and vice versa.
If mary is not brave or calm then fred is kind or not wise and v... | Lucy is quiet. | entailment | (((~generous(paul)<~>humble(paul)))=>(?[X]:((~rich(X)|~curious(X)))))&
(![X]:((~creative(X)&~patient(X))=>(strong(X)|~calm(X))))&
((?[X]:((~calm(X)<~>creative(X))))<=>((~happy(susan)<~>generous(susan))))&
(((~brave(mary)|calm(mary)))<=>((kind(fred)|~wise(fred))))&
(((~generous(susan)|generous(susan)))<=>(?[X]:((humble(... | quiet(lucy) | [
"p5",
"p10",
"p11",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4120128289906252541880521
% SZS output start Proof for 4120128289906252541880521
6. ! [X0] : (old(X0) => (~curious(X0) & ~tall(X0))) [input p5]
11. ! [X0] : ((~brave(X0) | strong(X0)) <=> (~strong(X0) | rich(X0))) [input p10]
12. ! [X0] : (~patient(X0) <=> ~quiet(X0)) [input p11]
13. ! [X... | 0 |
Everyone who is either strong or not creative is both curious and not strong and vice versa.
If someone is not creative or not tall then someone is both calm and patient.
If someone is either curious or not wise then someone is both not rich and funny.
If paul is either not creative or not happy then paul is not wise o... | Paul is creative. | entailment | (![X]:((strong(X)<~>~creative(X))<=>(curious(X)&~strong(X))))&
((?[X]:((~creative(X)|~tall(X))))=>(?[X]:((calm(X)&patient(X)))))&
((?[X]:((curious(X)<~>~wise(X))))=>(?[X]:((~rich(X)&funny(X)))))&
(((~creative(paul)<~>~happy(paul)))<=>((~wise(paul)|~kind(paul))))&
(![X]:((~happy(X)<~>~brave(X))<=>~kind(X)))&
((?[X]:((ha... | creative(paul) | [
"p3",
"p10",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2489314256146735142873886
% SZS output start Proof for 2489314256146735142873886
4. (~creative(paul) <~> ~happy(paul)) <=> (~kind(paul) | ~wise(paul)) [input p3]
11. ! [X0] : (happy(X0) <=> (humble(X0) & quiet(X0))) [input p10]
20. ~humble(paul) [input p19]
21. happy(paul) | ~kind(paul) [... | 0 |
If someone is both funny and not curious then john is both not old and not happy and vice versa.
Everyone who is both quiet and curious is not kind and vice versa.
If susan is both old and tall then fred is not old or not tall and vice versa.
Everyone who is wise is either patient or funny.
Everyone who is either humbl... | Mary is not old. | contradiction | ((?[X]:((funny(X)&~curious(X))))<=>((~old(john)&~happy(john))))&
(![X]:((quiet(X)&curious(X))<=>~kind(X)))&
(((old(susan)&tall(susan)))<=>((~old(fred)|~tall(fred))))&
(![X]:(wise(X)=>(patient(X)<~>funny(X))))&
(![X]:((humble(X)<~>~strong(X))=>rich(X)))&
(![X]:((happy(X)|wise(X))=>(rich(X)&~generous(X))))&
(![X]:((~quie... | ~old(mary) | [
"p1",
"p2",
"p6",
"p7",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4394046542826972109118331
% SZS output start Proof for 4394046542826972109118331
2. ! [X0] : ((curious(X0) & quiet(X0)) <=> ~kind(X0)) [input p1]
3. (tall(susan) & old(susan)) <=> (~tall(fred) | ~old(fred)) [input p2]
7. ! [X0] : ((~quiet(X0) <~> kind(X0)) => (funny(X0) & old(X0))) [input... | 0 |
If someone is patient or not strong then mary is either not humble or not tall.
Everyone who is not happy or not calm is both generous and happy and vice versa.
If someone is both strong and not happy then someone is not tall.
Everyone who is happy is either not strong or not rich.
Everyone who is either not tall or no... | John is wise. | entailment | ((?[X]:((patient(X)|~strong(X))))=>((~humble(mary)<~>~tall(mary))))&
(![X]:((~happy(X)|~calm(X))<=>(generous(X)&happy(X))))&
((?[X]:((strong(X)&~happy(X))))=>(?[X]:(~tall(X))))&
(![X]:(happy(X)=>(~strong(X)<~>~rich(X))))&
(![X]:((~tall(X)<~>~humble(X))=>curious(X)))&
(((happy(john)|~creative(john)))<=>((curious(paul)|~... | wise(john) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 681794996842427257285134
% SZS output start Proof for 681794996842427257285134
9. ! [X0] : ((~calm(X0) <~> rich(X0)) <=> ~calm(X0)) [input p8]
14. ! [X0] : ((~rich(X0) | ~creative(X0)) => (~creative(X0) & wise(X0))) [input p13]
25. ~wise(john) [input hypothesis]
35. ! [X0] : ((~creative(X... | 0 |
If fred is not generous or happy then someone is either not patient or not humble and vice versa. If john is kind or not strong then someone is both old and tall and vice versa. If mary is not rich then lucy is funny and vice versa. If someone is either not generous or not brave then mary is either not funny or not pat... | Lucy is tall. | neutral | (((~generous(fred)|happy(fred)))<=>(?[X]:((~patient(X)<~>~humble(X)))))&
(((kind(john)|~strong(john)))<=>(?[X]:((old(X)&tall(X)))))&
((~rich(mary))<=>(funny(lucy)))&
((?[X]:((~generous(X)<~>~brave(X))))=>((~funny(mary)<~>~patient(mary))))&
(![X]:((~curious(X)&~brave(X))<=>patient(X)))&
(![X]:((calm(X)<~>brave(X))<=>hum... | tall(lucy) | [] | null | 0 |
If paul is both old and not kind then someone is not rich or not quiet and vice versa.
If someone is either calm or rich then john is kind or quiet and vice versa.
Everyone who is both wise and humble is both rich and not quiet.
Everyone who is either happy or not funny is both humble and funny.
Everyone who is both no... | John is funny. | neutral | (((old(paul)&~kind(paul)))<=>(?[X]:((~rich(X)|~quiet(X)))))&
((?[X]:((calm(X)<~>rich(X))))<=>((kind(john)|quiet(john))))&
(![X]:((wise(X)&humble(X))=>(rich(X)&~quiet(X))))&
(![X]:((happy(X)<~>~funny(X))=>(humble(X)&funny(X))))&
(![X]:((~humble(X)&~rich(X))<=>(generous(X)|calm(X))))&
(![X]:(~brave(X)<=>(strong(X)<~>humb... | funny(john) | [] | null | 0 |
Everyone who is both curious and not old is patient or funny.
Everyone who is not humble is generous or wise.
If john is both brave and not tall then someone is patient or generous and vice versa.
Everyone who is both not wise and not funny is brave or not rich and vice versa.
If alice is either not curious or not rich... | Alice is strong. | entailment | (![X]:((curious(X)&~old(X))=>(patient(X)|funny(X))))&
(![X]:(~humble(X)=>(generous(X)|wise(X))))&
(((brave(john)&~tall(john)))<=>(?[X]:((patient(X)|generous(X)))))&
(![X]:((~wise(X)&~funny(X))<=>(brave(X)|~rich(X))))&
(((~curious(alice)<~>~rich(alice)))=>(funny(john)))&
(![X]:((creative(X)<~>wise(X))<=>(~curious(X)&~fu... | strong(alice) | [
"p3",
"p4",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1790296969560046427277797
% SZS output start Proof for 1790296969560046427277797
4. ! [X0] : ((~funny(X0) & ~wise(X0)) <=> (~rich(X0) | brave(X0))) [input p3]
5. (~curious(alice) <~> ~rich(alice)) => funny(john) [input p4]
8. ! [X0] : (~curious(X0) <=> (rich(X0) & ~strong(X0))) [input p7]... | 0 |
If someone is both wise and not wise then someone is not calm.
If someone is either not old or rich then someone is both creative and not tall and vice versa.
If someone is both rich and tall then john is either not strong or kind and vice versa.
If lucy is calm or wise then someone is both not funny and not old.
If so... | John is kind. | contradiction | ((?[X]:((wise(X)&~wise(X))))=>(?[X]:(~calm(X))))&
((?[X]:((~old(X)<~>rich(X))))<=>(?[X]:((creative(X)&~tall(X)))))&
((?[X]:((rich(X)&tall(X))))<=>((~strong(john)<~>kind(john))))&
(((calm(lucy)|wise(lucy)))=>(?[X]:((~funny(X)&~old(X)))))&
((?[X]:((brave(X)&~tall(X))))<=>(?[X]:((~kind(X)|patient(X)))))&
((?[X]:((~calm(X)... | kind(john) | [
"p7",
"p9",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2846951829542113156773359
% SZS output start Proof for 2846951829542113156773359
8. ! [X0] : ((rich(X0) & humble(X0)) <=> (~humble(X0) <~> ~calm(X0))) [input p7]
10. ! [X0] : ((quiet(X0) | strong(X0)) => ~kind(X0)) [input p9]
14. ! [X0] : (~quiet(X0) => (old(X0) & calm(X0))) [input p13]
2... | 0 |
Everyone who is rich is brave. Everyone who is both curious and not kind is not rich or happy. Everyone who is generous is not rich. Everyone who is strong is both not humble and not brave and vice versa. Everyone who is both creative and not curious is both funny and not calm and vice versa. If fred is not happy then ... | Alice is kind. | neutral | (![X]:(rich(X)=>brave(X)))&
(![X]:((curious(X)&~kind(X))=>(~rich(X)|happy(X))))&
(![X]:(generous(X)=>~rich(X)))&
(![X]:(strong(X)<=>(~humble(X)&~brave(X))))&
(![X]:((creative(X)&~curious(X))<=>(funny(X)&~calm(X))))&
((~happy(fred))<=>(?[X]:((calm(X)|curious(X)))))&
(((~creative(john)|humble(john)))<=>(?[X]:((wise(X)|pa... | kind(alice) | [] | null | 0 |
If alice is not creative or rich then john is calm and vice versa.
Everyone who is rich is not quiet.
If john is either old or not wise then someone is not rich and vice versa.
If someone is rich then fred is not funny or not creative and vice versa.
Everyone who is not generous or curious is not funny.
Everyone who is... | Alice is patient. | contradiction | (((~creative(alice)|rich(alice)))<=>(calm(john)))&
(![X]:(rich(X)=>~quiet(X)))&
(((old(john)<~>~wise(john)))<=>(?[X]:(~rich(X))))&
((?[X]:(rich(X)))<=>((~funny(fred)|~creative(fred))))&
(![X]:((~generous(X)|curious(X))=>~funny(X)))&
(![X]:((~brave(X)|wise(X))<=>tall(X)))&
(![X]:(~funny(X)=>(humble(X)<~>funny(X))))&
(![... | patient(alice) | [
"p4",
"p6",
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9129485661828975017357711
% SZS output start Proof for 9129485661828975017357711
5. ! [X0] : ((curious(X0) | ~generous(X0)) => ~funny(X0)) [input p4]
7. ! [X0] : (~funny(X0) => (humble(X0) <~> funny(X0))) [input p6]
9. ! [X0] : ((generous(X0) & patient(X0)) => (~curious(X0) & ~generous(X0... | 0 |
If someone is curious or tall then paul is either patient or creative.
If alice is strong or not funny then john is both rich and not kind.
Everyone who is kind or not rich is both not tall and not quiet.
Everyone who is either not humble or strong is kind or brave and vice versa.
If someone is not kind or quiet then p... | John is curious. | neutral | ((?[X]:((curious(X)|tall(X))))=>((patient(paul)<~>creative(paul))))&
(((strong(alice)|~funny(alice)))=>((rich(john)&~kind(john))))&
(![X]:((kind(X)|~rich(X))=>(~tall(X)&~quiet(X))))&
(![X]:((~humble(X)<~>strong(X))<=>(kind(X)|brave(X))))&
((?[X]:((~kind(X)|quiet(X))))<=>((tall(paul)&~tall(paul))))&
(((humble(paul)&~tal... | curious(john) | [] | null | 0 |
If fred is either strong or curious then alice is both not quiet and not old and vice versa.
Everyone who is strong is kind or not strong and vice versa.
Everyone who is patient or not humble is not creative or not tall and vice versa.
If lucy is both not patient and not happy then someone is either patient or not calm... | Mary is happy. | neutral | (((strong(fred)<~>curious(fred)))<=>((~quiet(alice)&~old(alice))))&
(![X]:(strong(X)<=>(kind(X)|~strong(X))))&
(![X]:((patient(X)|~humble(X))<=>(~creative(X)|~tall(X))))&
(((~patient(lucy)&~happy(lucy)))=>(?[X]:((patient(X)<~>~calm(X)))))&
(![X]:((~humble(X)|~rich(X))<=>(~wise(X)<~>happy(X))))&
(((calm(john)|quiet(john... | happy(mary) | [] | null | 0 |
Everyone who is wise is both kind and not curious. Everyone who is both patient and happy is brave or not kind. Everyone who is either wise or curious is quiet. Everyone who is either patient or tall is not happy or generous and vice versa. If someone is patient then lucy is either not kind or generous and vice versa. ... | Alice is happy. | neutral | (![X]:(wise(X)=>(kind(X)&~curious(X))))&
(![X]:((patient(X)&happy(X))=>(brave(X)|~kind(X))))&
(![X]:((wise(X)<~>curious(X))=>quiet(X)))&
(![X]:((patient(X)<~>tall(X))<=>(~happy(X)|generous(X))))&
((?[X]:(patient(X)))<=>((~kind(lucy)<~>generous(lucy))))&
(![X]:((~brave(X)<~>~funny(X))<=>(happy(X)<~>~happy(X))))&
((?[X]:... | happy(alice) | [] | null | 0 |
Everyone who is patient is both not quiet and not tall.
Everyone who is funny is rich and vice versa.
Everyone who is both not tall and not wise is strong or brave and vice versa.
Everyone who is either strong or calm is both humble and not generous and vice versa.
If someone is both creative and not funny then susan i... | John is strong. | contradiction | (![X]:(patient(X)=>(~quiet(X)&~tall(X))))&
(![X]:(funny(X)<=>rich(X)))&
(![X]:((~tall(X)&~wise(X))<=>(strong(X)|brave(X))))&
(![X]:((strong(X)<~>calm(X))<=>(humble(X)&~generous(X))))&
((?[X]:((creative(X)&~funny(X))))<=>((creative(susan)<~>~creative(susan))))&
(((calm(alice)<~>~generous(alice)))<=>(?[X]:((funny(X)|~tal... | strong(john) | [
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 765105773929023632905317
% SZS output start Proof for 765105773929023632905317
3. ! [X0] : ((~wise(X0) & ~tall(X0)) <=> (brave(X0) | strong(X0))) [input p2]
17. strong(john) <~> ~wise(john) [input p16]
24. strong(john) [input hypothesis]
36. ! [X0] : (((~wise(X0) & ~tall(X0)) | (~brave(X0... | 0 |
Everyone who is either old or curious is calm or creative.
Everyone who is both not tall and old is either funny or not calm and vice versa.
Everyone who is either not quiet or not calm is patient and vice versa.
Everyone who is both generous and not curious is not curious or patient and vice versa.
Everyone who is not... | Mary is not kind. | entailment | (![X]:((old(X)<~>curious(X))=>(calm(X)|creative(X))))&
(![X]:((~tall(X)&old(X))<=>(funny(X)<~>~calm(X))))&
(![X]:((~quiet(X)<~>~calm(X))<=>patient(X)))&
(![X]:((generous(X)&~curious(X))<=>(~curious(X)|patient(X))))&
(![X]:((~tall(X)|creative(X))<=>(~funny(X)<~>kind(X))))&
((?[X]:(~rich(X)))<=>((creative(paul)&quiet(pau... | ~kind(mary) | [
"p1",
"p4",
"p8",
"p11",
"p12",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4222438462895448685953794
% SZS output start Proof for 4222438462895448685953794
2. ! [X0] : ((old(X0) & ~tall(X0)) <=> (funny(X0) <~> ~calm(X0))) [input p1]
5. ! [X0] : ((creative(X0) | ~tall(X0)) <=> (~funny(X0) <~> kind(X0))) [input p4]
9. ! [X0] : ((happy(X0) | ~wise(X0)) <=> (humble(... | 0 |
Everyone who is either not patient or not generous is not strong or not funny and vice versa.
If someone is generous then paul is both not generous and not kind and vice versa.
If someone is either not tall or happy then fred is not patient and vice versa.
Everyone who is wise or kind is brave.
Everyone who is brave is... | John is curious. | contradiction | (![X]:((~patient(X)<~>~generous(X))<=>(~strong(X)|~funny(X))))&
((?[X]:(generous(X)))<=>((~generous(paul)&~kind(paul))))&
((?[X]:((~tall(X)<~>happy(X))))<=>(~patient(fred)))&
(![X]:((wise(X)|kind(X))=>brave(X)))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(generous(X)|~strong(X)))... | curious(john) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5065490117253390969504287
% SZS output start Proof for 5065490117253390969504287
9. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> strong(X0)) [input p8]
12. ? [X0] : (~funny(X0) & generous(X0)) <=> ? [X0] : curious(X0) [input p11]
23. curious(john) [input hypothesis]
24. ? [X0] : (~funny(X0... | 0 |
Everyone who is strong is both not brave and not humble.
Everyone who is not calm is not funny.
Everyone who is not strong is both not brave and not calm and vice versa.
If alice is not rich then someone is either not happy or not quiet.
If someone is not kind then mary is not kind.
If mary is not wise or not generous ... | John is tall. | entailment | (![X]:(strong(X)=>(~brave(X)&~humble(X))))&
(![X]:(~calm(X)=>~funny(X)))&
(![X]:(~strong(X)<=>(~brave(X)&~calm(X))))&
((~rich(alice))=>(?[X]:((~happy(X)<~>~quiet(X)))))&
((?[X]:(~kind(X)))=>(~kind(mary)))&
(((~wise(mary)|~generous(mary)))=>(?[X]:((humble(X)<~>~wise(X)))))&
(![X]:((rich(X)<~>~wise(X))=>(tall(X)&~generou... | tall(john) | [
"p0",
"p1",
"p2",
"p10",
"p11",
"p13",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5326209602817614163499109
% SZS output start Proof for 5326209602817614163499109
1. ! [X0] : (strong(X0) => (~humble(X0) & ~brave(X0))) [input p0]
2. ! [X0] : (~calm(X0) => ~funny(X0)) [input p1]
3. ! [X0] : (~strong(X0) <=> (~calm(X0) & ~brave(X0))) [input p2]
11. ! [X0] : ((~humble(X0) ... | 0 |
Everyone who is both not happy and not curious is not strong and vice versa.
If someone is not curious or funny then paul is not rich and vice versa.
Everyone who is both not quiet and not strong is both not generous and old and vice versa.
If someone is happy then alice is both patient and brave.
If lucy is happy then... | Alice is not funny. | entailment | (![X]:((~happy(X)&~curious(X))<=>~strong(X)))&
((?[X]:((~curious(X)|funny(X))))<=>(~rich(paul)))&
(![X]:((~quiet(X)&~strong(X))<=>(~generous(X)&old(X))))&
((?[X]:(happy(X)))=>((patient(alice)&brave(alice))))&
((happy(lucy))<=>((~rich(paul)|~curious(paul))))&
(![X]:((~kind(X)<~>~wise(X))<=>(~humble(X)|calm(X))))&
((pati... | ~funny(alice) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2127117914665427109794465
% SZS output start Proof for 2127117914665427109794465
1. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> ~strong(X0)) [input p0]
2. ? [X0] : (funny(X0) | ~curious(X0)) <=> ~rich(paul) [input p1]
3. ! [X0] : ((~strong(X0) & ~quiet(X0)) <=> (old(X0) & ~generous(X0))) [i... | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is generous and vice versa.
Everyone who is both not curious and not happy is either patient or generous.
If someone is either brave or not brave then fred is either not patient or rich and vice versa.
If su... | Susan is not patient. | neutral | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((~curious(X)&~happy(X))=>(patient(X)<~>generous(X))))&
((?[X]:((brave(X)<~>~brave(X))))<=>((~patient(fred)<~>rich(fred))))&
(((~brave(susan)<~>~wise(susan)))=>((~humble(john)&humble(john))))&
(![X]:((old(X)&calm(X))... | ~patient(susan) | [] | null | 0 |
Everyone who is either quiet or not humble is both curious and not generous.
Everyone who is either not creative or brave is both old and wise.
Everyone who is not patient is not rich.
Everyone who is kind is either not funny or not curious.
Everyone who is both not wise and not old is either generous or not rich.
Ever... | Mary is not tall. | entailment | (![X]:((quiet(X)<~>~humble(X))=>(curious(X)&~generous(X))))&
(![X]:((~creative(X)<~>brave(X))=>(old(X)&wise(X))))&
(![X]:(~patient(X)=>~rich(X)))&
(![X]:(kind(X)=>(~funny(X)<~>~curious(X))))&
(![X]:((~wise(X)&~old(X))=>(generous(X)<~>~rich(X))))&
(![X]:((kind(X)<~>calm(X))<=>~curious(X)))&
(![X]:(~humble(X)=>(~wise(X)<... | ~tall(mary) | [
"p0",
"p3",
"p5",
"p7",
"p8",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7119257405209987129381332
% SZS output start Proof for 7119257405209987129381332
1. ! [X0] : ((quiet(X0) <~> ~humble(X0)) => (~generous(X0) & curious(X0))) [input p0]
4. ! [X0] : (kind(X0) => (~funny(X0) <~> ~curious(X0))) [input p3]
6. ! [X0] : ((kind(X0) <~> calm(X0)) <=> ~curious(X0)) ... | 0 |
Everyone who is both not creative and not curious is humble and vice versa.
If paul is both not calm and not strong then someone is either not patient or old and vice versa.
Everyone who is not calm is not old and vice versa.
Everyone who is not humble is either calm or old.
Everyone who is not generous or not quiet is... | Lucy is not funny. | entailment | (![X]:((~creative(X)&~curious(X))<=>humble(X)))&
(((~calm(paul)&~strong(paul)))<=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:(~calm(X)<=>~old(X)))&
(![X]:(~humble(X)=>(calm(X)<~>old(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(~humble(X)&~funny(X))))&
(![X]:((creative(X)|~creative(X))=>(wise(X)&old(X))))&
((?[X]:((curious(X)... | ~funny(lucy) | [
"p2",
"p3",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1092752381437354895301261
% SZS output start Proof for 1092752381437354895301261
3. ! [X0] : (~calm(X0) <=> ~old(X0)) [input p2]
4. ! [X0] : (~humble(X0) => (calm(X0) <~> old(X0))) [input p3]
6. ! [X0] : ((~creative(X0) | creative(X0)) => (old(X0) & wise(X0))) [input p5]
10. ! [X0] : ((wi... | 0 |
Everyone who is both quiet and brave is both not strong and quiet and vice versa. If someone is either not creative or creative then lucy is not calm. If someone is not wise then someone is not rich. Everyone who is not curious is creative or not patient and vice versa. Everyone who is old or not quiet is either not cr... | John is not tall. | neutral | (![X]:((quiet(X)&brave(X))<=>(~strong(X)&quiet(X))))&
((?[X]:((~creative(X)<~>creative(X))))=>(~calm(lucy)))&
((?[X]:(~wise(X)))=>(?[X]:(~rich(X))))&
(![X]:(~curious(X)<=>(creative(X)|~patient(X))))&
(![X]:((old(X)|~quiet(X))<=>(~creative(X)<~>~curious(X))))&
((?[X]:((~generous(X)&~funny(X))))=>(?[X]:(~quiet(X))))&
(![... | ~tall(john) | [] | null | 0 |
Everyone who is not tall or not calm is not quiet or humble.
Everyone who is not strong or kind is both calm and not kind and vice versa.
Everyone who is both not calm and calm is either not quiet or not creative and vice versa.
If mary is both not strong and not funny then lucy is either wise or rich and vice versa.
I... | Lucy is wise. | entailment | (![X]:((~tall(X)|~calm(X))=>(~quiet(X)|humble(X))))&
(![X]:((~strong(X)|kind(X))<=>(calm(X)&~kind(X))))&
(![X]:((~calm(X)&calm(X))<=>(~quiet(X)<~>~creative(X))))&
(((~strong(mary)&~funny(mary)))<=>((wise(lucy)<~>rich(lucy))))&
(((calm(mary)&~brave(mary)))<=>((~quiet(paul)<~>patient(paul))))&
(((~humble(fred)&calm(fred)... | wise(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p7",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8070330059210413016540833
% SZS output start Proof for 8070330059210413016540833
1. ! [X0] : ((~calm(X0) | ~tall(X0)) => (humble(X0) | ~quiet(X0))) [input p0]
2. ! [X0] : ((kind(X0) | ~strong(X0)) <=> (~kind(X0) & calm(X0))) [input p1]
3. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (~quiet(X0) <... | 0 |
Everyone who is not creative is not curious or not strong.
If someone is not creative then paul is funny.
Everyone who is both patient and kind is not humble or not funny.
Everyone who is either tall or not old is not strong.
If someone is not patient or not kind then alice is either happy or not creative.
If someone i... | Paul is funny. | neutral | (![X]:(~creative(X)=>(~curious(X)|~strong(X))))&
((?[X]:(~creative(X)))=>(funny(paul)))&
(![X]:((patient(X)&kind(X))=>(~humble(X)|~funny(X))))&
(![X]:((tall(X)<~>~old(X))=>~strong(X)))&
((?[X]:((~patient(X)|~kind(X))))=>((happy(alice)<~>~creative(alice))))&
((?[X]:((~old(X)<~>creative(X))))<=>(?[X]:((brave(X)&curious(X... | funny(paul) | [] | null | 0 |
If someone is either kind or not rich then alice is not rich and vice versa. If someone is rich or not creative then someone is humble or wise and vice versa. If someone is both curious and tall then susan is either old or quiet and vice versa. Everyone who is not old is not tall and vice versa. Everyone who is both wi... | Fred is not humble. | entailment | ((?[X]:((kind(X)<~>~rich(X))))<=>(~rich(alice)))&
((?[X]:((rich(X)|~creative(X))))<=>(?[X]:((humble(X)|wise(X)))))&
((?[X]:((curious(X)&tall(X))))<=>((old(susan)<~>quiet(susan))))&
(![X]:(~old(X)<=>~tall(X)))&
(![X]:((wise(X)&strong(X))=>(~generous(X)<~>~old(X))))&
((?[X]:(~kind(X)))=>((old(john)&~wise(john))))&
(![X]:... | ~humble(fred) | [
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1523001032922276561987173
% SZS output start Proof for 1523001032922276561987173
8. ! [X0] : (humble(X0) <=> strong(X0)) [input p7]
18. ~creative(fred) & ~strong(fred) [input p17]
23. humble(fred) [input hypothesis]
49. ! [X0] : ((humble(X0) | ~strong(X0)) & (strong(X0) | ~humble(X0))) [n... | 0 |
If susan is not humble then paul is patient and vice versa. Everyone who is either happy or not old is both not happy and not quiet. Everyone who is old is either not kind or not quiet and vice versa. Everyone who is wise is both not strong and not calm. Everyone who is happy is not strong or patient and vice versa. If... | Alice is not patient. | contradiction | ((~humble(susan))<=>(patient(paul)))&
(![X]:((happy(X)<~>~old(X))=>(~happy(X)&~quiet(X))))&
(![X]:(old(X)<=>(~kind(X)<~>~quiet(X))))&
(![X]:(wise(X)=>(~strong(X)&~calm(X))))&
(![X]:(happy(X)<=>(~strong(X)|patient(X))))&
(((quiet(lucy)&kind(lucy)))=>((~calm(lucy)|kind(lucy))))&
(![X]:((~quiet(X)<~>~wise(X))<=>(~funny(X)... | ~patient(alice) | [
"p3",
"p6",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 214219618565971539664719
% SZS output start Proof for 214219618565971539664719
4. ! [X0] : (wise(X0) => (~calm(X0) & ~strong(X0))) [input p3]
7. ! [X0] : ((~quiet(X0) <~> ~wise(X0)) <=> (~funny(X0) <~> quiet(X0))) [input p6]
9. ! [X0] : ((generous(X0) & ~funny(X0)) <=> ~patient(X0)) [inpu... | 0 |
Everyone who is not wise or not old is both rich and quiet.
Everyone who is not funny or not quiet is either funny or not old and vice versa.
If john is not strong or not old then someone is not rich or quiet and vice versa.
If someone is calm or rich then lucy is either not old or brave and vice versa.
If someone is e... | John is brave. | neutral | (![X]:((~wise(X)|~old(X))=>(rich(X)&quiet(X))))&
(![X]:((~funny(X)|~quiet(X))<=>(funny(X)<~>~old(X))))&
(((~strong(john)|~old(john)))<=>(?[X]:((~rich(X)|quiet(X)))))&
((?[X]:((calm(X)|rich(X))))<=>((~old(lucy)<~>brave(lucy))))&
((?[X]:((~humble(X)<~>~funny(X))))<=>((quiet(susan)&~old(susan))))&
((?[X]:((happy(X)&~funny... | brave(john) | [] | null | 0 |
Everyone who is both not creative and happy is both not curious and not kind. If john is not brave or brave then someone is not curious or old and vice versa. If john is either not tall or not old then someone is not wise or brave and vice versa. If someone is both not quiet and not calm then someone is not tall and vi... | Lucy is funny. | neutral | (![X]:((~creative(X)&happy(X))=>(~curious(X)&~kind(X))))&
(((~brave(john)|brave(john)))<=>(?[X]:((~curious(X)|old(X)))))&
(((~tall(john)<~>~old(john)))<=>(?[X]:((~wise(X)|brave(X)))))&
((?[X]:((~quiet(X)&~calm(X))))<=>(?[X]:(~tall(X))))&
(![X]:((~rich(X)<~>~calm(X))=>(rich(X)|wise(X))))&
(((~brave(john)|brave(john)))=>... | funny(lucy) | [] | null | 0 |
If someone is not strong or quiet then someone is either wise or old.
If paul is not rich or not patient then someone is happy.
Everyone who is both not humble and humble is not humble or not kind.
If alice is either humble or not brave then mary is either funny or quiet.
If someone is either not calm or not quiet then... | Susan is not funny. | entailment | ((?[X]:((~strong(X)|quiet(X))))=>(?[X]:((wise(X)<~>old(X)))))&
(((~rich(paul)|~patient(paul)))=>(?[X]:(happy(X))))&
(![X]:((~humble(X)&humble(X))=>(~humble(X)|~kind(X))))&
(((humble(alice)<~>~brave(alice)))=>((funny(mary)<~>quiet(mary))))&
((?[X]:((~calm(X)<~>~quiet(X))))<=>(?[X]:(patient(X))))&
((?[X]:(humble(X)))<=>(... | ~funny(susan) | [
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3364449316701436358318457
% SZS output start Proof for 3364449316701436358318457
13. ! [X0] : ((~brave(X0) | ~funny(X0)) <=> ~funny(X0)) [input p12]
17. ~brave(susan) [input p16]
25. funny(susan) [input hypothesis]
65. ! [X0] : (((~brave(X0) | ~funny(X0)) | funny(X0)) & (~funny(X0) | (bra... | 0 |
Everyone who is either not kind or old is not patient or happy and vice versa.
If paul is either not curious or funny then someone is either not brave or happy.
Everyone who is either brave or not brave is both not kind and not humble.
If john is both not quiet and not curious then someone is not wise.
Everyone who is ... | Susan is not strong. | contradiction | (![X]:((~kind(X)<~>old(X))<=>(~patient(X)|happy(X))))&
(((~curious(paul)<~>funny(paul)))=>(?[X]:((~brave(X)<~>happy(X)))))&
(![X]:((brave(X)<~>~brave(X))=>(~kind(X)&~humble(X))))&
(((~quiet(john)&~curious(john)))=>(?[X]:(~wise(X))))&
(![X]:(creative(X)<=>(funny(X)|humble(X))))&
((?[X]:((funny(X)&~kind(X))))=>(?[X]:((wi... | ~strong(susan) | [
"p2",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7522159081182591122848321
% SZS output start Proof for 7522159081182591122848321
3. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (~humble(X0) & ~kind(X0))) [input p2]
9. ! [X0] : ((~quiet(X0) <~> calm(X0)) <=> (quiet(X0) & ~kind(X0))) [input p8]
10. ! [X0] : ((~curious(X0) | ~strong(X0)) => (~... | 0 |
If someone is kind or not creative then john is generous and vice versa.
Everyone who is both not tall and curious is kind and vice versa.
Everyone who is tall or not quiet is happy or not kind and vice versa.
Everyone who is either not kind or not curious is tall or humble.
If alice is both creative and curious then s... | Fred is not tall. | contradiction | ((?[X]:((kind(X)|~creative(X))))<=>(generous(john)))&
(![X]:((~tall(X)&curious(X))<=>kind(X)))&
(![X]:((tall(X)|~quiet(X))<=>(happy(X)|~kind(X))))&
(![X]:((~kind(X)<~>~curious(X))=>(tall(X)|humble(X))))&
(((creative(alice)&curious(alice)))<=>(?[X]:((~funny(X)|~creative(X)))))&
(![X]:(~humble(X)<=>(patient(X)&~wise(X)))... | ~tall(fred) | [
"p0",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8052805606324559741348912
% SZS output start Proof for 8052805606324559741348912
1. ? [X0] : (~creative(X0) | kind(X0)) <=> generous(john) [input p0]
13. ! [X0] : (tall(X0) <=> creative(X0)) [input p12]
17. ~strong(john) & ~generous(john) [input p16]
22. ~tall(fred) [input hypothesis]
30.... | 0 |
If susan is not calm then john is not humble or wise and vice versa.
If someone is both strong and not patient then john is either tall or not curious and vice versa.
Everyone who is rich or happy is not brave and vice versa.
Everyone who is both tall and not humble is generous or creative and vice versa.
If alice is b... | Lucy is funny. | contradiction | ((~calm(susan))<=>((~humble(john)|wise(john))))&
((?[X]:((strong(X)&~patient(X))))<=>((tall(john)<~>~curious(john))))&
(![X]:((rich(X)|happy(X))<=>~brave(X)))&
(![X]:((tall(X)&~humble(X))<=>(generous(X)|creative(X))))&
(((strong(alice)&~creative(alice)))<=>((wise(paul)<~>~patient(paul))))&
(![X]:(~humble(X)<=>(creative... | funny(lucy) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 796612760865372094226296
% SZS output start Proof for 796612760865372094226296
16. ! [X0] : ((funny(X0) | ~calm(X0)) => (~funny(X0) & creative(X0))) [input p15]
25. funny(lucy) [input hypothesis]
33. ! [X0] : ((~funny(X0) & creative(X0)) | (~funny(X0) & calm(X0))) [ennf transformation 16]... | 0 |
Everyone who is patient or tall is both not calm and wise.
Everyone who is either funny or not tall is not wise or not happy.
If susan is rich then someone is either wise or not creative and vice versa.
If susan is humble or patient then someone is both happy and not curious.
If someone is not calm then mary is either ... | Alice is not tall. | contradiction | (![X]:((patient(X)|tall(X))=>(~calm(X)&wise(X))))&
(![X]:((funny(X)<~>~tall(X))=>(~wise(X)|~happy(X))))&
((rich(susan))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susan)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:(~calm(X)))=>((curious(mary)<~>~patient(mary))))&
(![X]:((creative(X)|~patient(X))=>(b... | ~tall(alice) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5450112703298325097867499
% SZS output start Proof for 5450112703298325097867499
7. ! [X0] : ((humble(X0) | generous(X0)) => tall(X0)) [input p6]
13. ! [X0] : (tall(X0) <=> ~generous(X0)) [input p12]
21. ~tall(alice) [input hypothesis]
30. ! [X0] : (tall(X0) | (~humble(X0) & ~generous(X0)... | 0 |
Everyone who is not patient or not generous is either not patient or rich and vice versa.
Everyone who is wise or rich is humble.
If someone is either not generous or old then fred is not funny.
Everyone who is not rich or not patient is brave.
If someone is rich then paul is either not creative or not quiet.
If someon... | Paul is brave. | entailment | (![X]:((~patient(X)|~generous(X))<=>(~patient(X)<~>rich(X))))&
(![X]:((wise(X)|rich(X))=>humble(X)))&
((?[X]:((~generous(X)<~>old(X))))=>(~funny(fred)))&
(![X]:((~rich(X)|~patient(X))=>brave(X)))&
((?[X]:(rich(X)))=>((~creative(paul)<~>~quiet(paul))))&
((?[X]:((brave(X)&~patient(X))))=>((~creative(alice)&wise(alice))))... | brave(paul) | [
"p0",
"p1",
"p3",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7735363402918856852283579
% SZS output start Proof for 7735363402918856852283579
1. ! [X0] : ((~generous(X0) | ~patient(X0)) <=> (~patient(X0) <~> rich(X0))) [input p0]
2. ! [X0] : ((rich(X0) | wise(X0)) => humble(X0)) [input p1]
4. ! [X0] : ((~patient(X0) | ~rich(X0)) => brave(X0)) [inpu... | 0 |
Everyone who is not funny or not happy is curious or not happy and vice versa.
Everyone who is either wise or strong is both not quiet and not wise and vice versa.
If alice is not curious then someone is rich or not brave.
Everyone who is both not old and not humble is wise.
Everyone who is happy or not happy is either... | Paul is generous. | contradiction | (![X]:((~funny(X)|~happy(X))<=>(curious(X)|~happy(X))))&
(![X]:((wise(X)<~>strong(X))<=>(~quiet(X)&~wise(X))))&
((~curious(alice))=>(?[X]:((rich(X)|~brave(X)))))&
(![X]:((~old(X)&~humble(X))=>wise(X)))&
(![X]:((happy(X)|~happy(X))=>(generous(X)<~>~rich(X))))&
(((tall(john)|quiet(john)))=>(?[X]:((~wise(X)<~>~patient(X))... | generous(paul) | [
"p0",
"p1",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2382135816721436455112142
% SZS output start Proof for 2382135816721436455112142
1. ! [X0] : ((~happy(X0) | ~funny(X0)) <=> (~happy(X0) | curious(X0))) [input p0]
2. ! [X0] : ((wise(X0) <~> strong(X0)) <=> (~wise(X0) & ~quiet(X0))) [input p1]
8. ! [X0] : ((~strong(X0) <~> ~curious(X0)) <=... | 0 |
Everyone who is not quiet is curious or brave and vice versa.
Everyone who is not curious is either rich or not brave and vice versa.
If someone is not rich or quiet then lucy is both not patient and not happy.
Everyone who is happy is both old and curious.
Everyone who is either not strong or not quiet is funny or qui... | Susan is rich. | contradiction | (![X]:(~quiet(X)<=>(curious(X)|brave(X))))&
(![X]:(~curious(X)<=>(rich(X)<~>~brave(X))))&
((?[X]:((~rich(X)|quiet(X))))=>((~patient(lucy)&~happy(lucy))))&
(![X]:(happy(X)=>(old(X)&curious(X))))&
(![X]:((~strong(X)<~>~quiet(X))=>(funny(X)|quiet(X))))&
(((~brave(susan)<~>~calm(susan)))=>((~old(susan)<~>~happy(susan))))&
... | rich(susan) | [
"p0",
"p1",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3613320556377337184316184
% SZS output start Proof for 3613320556377337184316184
1. ! [X0] : (~quiet(X0) <=> (brave(X0) | curious(X0))) [input p0]
2. ! [X0] : (~curious(X0) <=> (rich(X0) <~> ~brave(X0))) [input p1]
7. ! [X0] : (~quiet(X0) <=> curious(X0)) [input p6]
9. ! [X0] : ((~rich(X0... | 0 |
If someone is not humble or humble then john is both funny and not strong.
Everyone who is not old or not generous is not tall or creative.
If alice is either not calm or humble then fred is both strong and creative.
If alice is not strong then john is both humble and not curious.
If someone is both not happy and quiet... | John is not funny. | contradiction | ((?[X]:((~humble(X)|humble(X))))=>((funny(john)&~strong(john))))&
(![X]:((~old(X)|~generous(X))=>(~tall(X)|creative(X))))&
(((~calm(alice)<~>humble(alice)))=>((strong(fred)&creative(fred))))&
((~strong(alice))=>((humble(john)&~curious(john))))&
((?[X]:((~happy(X)&quiet(X))))=>(?[X]:((brave(X)&~old(X)))))&
(![X]:((~humb... | ~funny(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 2157883373342583570999721
% SZS output start Proof for 2157883373342583570999721
1. ? [X0] : (humble(X0) | ~humble(X0)) => (~strong(john) & funny(john)) [input p0]
25. ~funny(john) [input hypothesis]
30. (~strong(john) & funny(john)) | ! [X0] : (~humble(X0) & humble(X0)) [ennf transformat... | 0 |
Everyone who is either generous or not calm is not creative.
If alice is happy then someone is both not happy and not old.
Everyone who is creative is both tall and not strong.
If mary is either not happy or not quiet then someone is wise or not funny and vice versa.
Everyone who is not calm or kind is not creative and... | Paul is curious. | neutral | (![X]:((generous(X)<~>~calm(X))=>~creative(X)))&
((happy(alice))=>(?[X]:((~happy(X)&~old(X)))))&
(![X]:(creative(X)=>(tall(X)&~strong(X))))&
(((~happy(mary)<~>~quiet(mary)))<=>(?[X]:((wise(X)|~funny(X)))))&
(![X]:((~calm(X)|kind(X))<=>~creative(X)))&
((?[X]:((~rich(X)&happy(X))))=>(?[X]:((~patient(X)&calm(X)))))&
(![X]... | curious(paul) | [] | null | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa.
If john is rich then lucy is tall or not brave and vice versa.
Everyone who is both not calm and wise is both not strong and curious and vice versa.
If alice is both strong and old then susan is calm.
Everyone who is both generous and ... | Paul is wise. | contradiction | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
((rich(john))<=>((tall(lucy)|~brave(lucy))))&
(![X]:((~calm(X)&wise(X))<=>(~strong(X)&curious(X))))&
(((strong(alice)&old(alice)))=>(calm(susan)))&
(![X]:((generous(X)&~calm(X))=>~brave(X)))&
(![X]:((~kind(X)<~>tall(X))<=>(~strong(X)<~>tall(X))))&
((?[X]:((tall(X)<... | wise(paul) | [
"p0",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2607311392903330643573203
% SZS output start Proof for 2607311392903330643573203
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
9. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~tall(X0) | strong(X0))) [input p8]
10. ! [X0] : (~quiet(X0) => (~calm(X0) | ~wise(... | 0 |
If someone is either not tall or quiet then fred is patient and vice versa.
If someone is not patient then lucy is funny or not kind.
If someone is not humble then paul is funny and vice versa.
Everyone who is both strong and quiet is both not tall and not rich.
If someone is happy then someone is both not happy and no... | Lucy is not generous. | entailment | ((?[X]:((~tall(X)<~>quiet(X))))<=>(patient(fred)))&
((?[X]:(~patient(X)))=>((funny(lucy)|~kind(lucy))))&
((?[X]:(~humble(X)))<=>(funny(paul)))&
(![X]:((strong(X)&quiet(X))=>(~tall(X)&~rich(X))))&
((?[X]:(happy(X)))=>(?[X]:((~happy(X)&~humble(X)))))&
(![X]:(patient(X)<=>(~brave(X)|tall(X))))&
(![X]:((~strong(X)<~>~brave... | ~generous(lucy) | [
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7093770728330768570604065
% SZS output start Proof for 7093770728330768570604065
15. ! [X0] : ((happy(X0) <~> ~happy(X0)) => (strong(X0) & ~funny(X0))) [input p14]
16. ? [X0] : (brave(X0) | generous(X0)) => ? [X0] : (brave(X0) & funny(X0)) [input p15]
22. generous(lucy) [input hypothesis]... | 0 |
Everyone who is either kind or quiet is either not curious or not tall and vice versa. Everyone who is not humble is humble or brave and vice versa. Everyone who is strong is brave or not strong and vice versa. Everyone who is either tall or funny is either happy or not kind and vice versa. Everyone who is both strong ... | Alice is happy. | neutral | (![X]:((kind(X)<~>quiet(X))<=>(~curious(X)<~>~tall(X))))&
(![X]:(~humble(X)<=>(humble(X)|brave(X))))&
(![X]:(strong(X)<=>(brave(X)|~strong(X))))&
(![X]:((tall(X)<~>funny(X))<=>(happy(X)<~>~kind(X))))&
(![X]:((strong(X)&rich(X))<=>(~strong(X)&~happy(X))))&
(![X]:(~funny(X)=>~generous(X)))&
(![X]:(curious(X)=>humble(X)))... | happy(alice) | [] | null | 0 |
Everyone who is both not curious and not rich is either not old or not calm.
Everyone who is either patient or not strong is both humble and tall and vice versa.
Everyone who is either not calm or not generous is not generous or not kind.
If someone is both not calm and generous then alice is rich or not curious.
Every... | Lucy is not kind. | neutral | (![X]:((~curious(X)&~rich(X))=>(~old(X)<~>~calm(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(humble(X)&tall(X))))&
(![X]:((~calm(X)<~>~generous(X))=>(~generous(X)|~kind(X))))&
((?[X]:((~calm(X)&generous(X))))=>((rich(alice)|~curious(alice))))&
(![X]:((~generous(X)&~old(X))<=>(curious(X)&creative(X))))&
((?[X]:((~wise(X)<... | ~kind(lucy) | [] | null | 0 |
Everyone who is either not generous or wise is not tall or rich.
Everyone who is either not wise or not funny is old and vice versa.
If mary is either not strong or not tall then someone is either not calm or not strong and vice versa.
Everyone who is strong is either not old or humble.
Everyone who is not creative or ... | Mary is not happy. | contradiction | (![X]:((~generous(X)<~>wise(X))=>(~tall(X)|rich(X))))&
(![X]:((~wise(X)<~>~funny(X))<=>old(X)))&
(((~strong(mary)<~>~tall(mary)))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((patient(fred)|tall... | ~happy(mary) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8939897250896142445258559
% SZS output start Proof for 8939897250896142445258559
10. ! [X0] : (funny(X0) <=> (~calm(X0) | ~funny(X0))) [input p9]
12. ! [X0] : (funny(X0) <=> (~quiet(X0) & happy(X0))) [input p11]
20. ~happy(mary) [input hypothesis]
40. ! [X0] : ((funny(X0) | (calm(X0) & fu... | 0 |
Everyone who is either not kind or tall is not wise. If paul is not strong or not calm then someone is either kind or not old and vice versa. If someone is not old then john is both strong and rich. If someone is happy then lucy is both patient and not wise. Everyone who is strong or not curious is both not rich and ge... | Alice is funny. | entailment | (![X]:((~kind(X)<~>tall(X))=>~wise(X)))&
(((~strong(paul)|~calm(paul)))<=>(?[X]:((kind(X)<~>~old(X)))))&
((?[X]:(~old(X)))=>((strong(john)&rich(john))))&
((?[X]:(happy(X)))=>((patient(lucy)&~wise(lucy))))&
(![X]:((strong(X)|~curious(X))<=>(~rich(X)&generous(X))))&
((?[X]:((funny(X)<~>rich(X))))=>((~quiet(susan)<~>~brav... | funny(alice) | [
"p2",
"p4",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 797206836644997989150467
% SZS output start Proof for 797206836644997989150467
3. ? [X0] : ~old(X0) => (rich(john) & strong(john)) [input p2]
5. ! [X0] : ((~curious(X0) | strong(X0)) <=> (generous(X0) & ~rich(X0))) [input p4]
10. ! [X0] : ((funny(X0) & humble(X0)) <=> (rich(X0) <~> old(X0... | 0 |
Everyone who is both not tall and kind is not quiet or generous and vice versa.
Everyone who is creative or not rich is not calm or tall.
Everyone who is not happy is generous and vice versa.
Everyone who is not patient is both not kind and calm.
If someone is either kind or not quiet then someone is either happy or no... | Susan is not old. | contradiction | (![X]:((~tall(X)&kind(X))<=>(~quiet(X)|generous(X))))&
(![X]:((creative(X)|~rich(X))=>(~calm(X)|tall(X))))&
(![X]:(~happy(X)<=>generous(X)))&
(![X]:(~patient(X)=>(~kind(X)&calm(X))))&
((?[X]:((kind(X)<~>~quiet(X))))<=>(?[X]:((happy(X)<~>~strong(X)))))&
((?[X]:((quiet(X)&~old(X))))=>((tall(alice)|~brave(alice))))&
(![X]... | ~old(susan) | [
"p0",
"p2",
"p6",
"p7",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2641866794916496291660783
% SZS output start Proof for 2641866794916496291660783
1. ! [X0] : ((kind(X0) & ~tall(X0)) <=> (generous(X0) | ~quiet(X0))) [input p0]
3. ! [X0] : (~happy(X0) <=> generous(X0)) [input p2]
7. ! [X0] : ((~brave(X0) <~> brave(X0)) => (~wise(X0) & humble(X0))) [input... | 0 |
If alice is either not quiet or not generous then fred is both not wise and not curious and vice versa. If alice is not rich then someone is either not humble or not curious and vice versa. Everyone who is both strong and not wise is either funny or happy and vice versa. If someone is both wise and happy then susan is ... | Fred is generous. | entailment | (((~quiet(alice)<~>~generous(alice)))<=>((~wise(fred)&~curious(fred))))&
((~rich(alice))<=>(?[X]:((~humble(X)<~>~curious(X)))))&
(![X]:((strong(X)&~wise(X))<=>(funny(X)<~>happy(X))))&
((?[X]:((wise(X)&happy(X))))<=>(~generous(susan)))&
(![X]:(~curious(X)<=>(~brave(X)<~>~happy(X))))&
(![X]:((humble(X)&rich(X))=>(tall(X)... | generous(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 472937678863090704555066
% SZS output start Proof for 472937678863090704555066
9. ! [X0] : ((generous(X0) & quiet(X0)) <=> (~generous(X0) | ~old(X0))) [input p8]
24. ~generous(fred) [input hypothesis]
52. ! [X0] : (((generous(X0) & quiet(X0)) | (generous(X0) & old(X0))) & ((~generous(X0) ... | 0 |
Everyone who is either not rich or creative is patient. Everyone who is both not wise and not generous is quiet or creative and vice versa. If someone is not rich or generous then fred is either calm or wise. Everyone who is both not curious and not rich is either happy or not tall. If someone is either tall or funny t... | Fred is not curious. | neutral | (![X]:((~rich(X)<~>creative(X))=>patient(X)))&
(![X]:((~wise(X)&~generous(X))<=>(quiet(X)|creative(X))))&
((?[X]:((~rich(X)|generous(X))))=>((calm(fred)<~>wise(fred))))&
(![X]:((~curious(X)&~rich(X))=>(happy(X)<~>~tall(X))))&
((?[X]:((tall(X)<~>funny(X))))=>(?[X]:(~humble(X))))&
(![X]:(humble(X)=>(~humble(X)<~>~happy(X... | ~curious(fred) | [] | null | 0 |
Everyone who is quiet or not creative is either not tall or not wise.
If john is not curious or calm then john is not patient and vice versa.
Everyone who is not creative is either not curious or not quiet and vice versa.
Everyone who is not kind or not patient is curious or not happy and vice versa.
Everyone who is fu... | John is humble. | entailment | (![X]:((quiet(X)|~creative(X))=>(~tall(X)<~>~wise(X))))&
(((~curious(john)|calm(john)))<=>(~patient(john)))&
(![X]:(~creative(X)<=>(~curious(X)<~>~quiet(X))))&
(![X]:((~kind(X)|~patient(X))<=>(curious(X)|~happy(X))))&
(![X]:(funny(X)=>(quiet(X)&~old(X))))&
(![X]:(calm(X)<=>(~calm(X)<~>humble(X))))&
((?[X]:(~quiet(X)))=... | humble(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7684525809075191259171847
% SZS output start Proof for 7684525809075191259171847
6. ! [X0] : (calm(X0) <=> (~calm(X0) <~> humble(X0))) [input p5]
24. ~humble(john) [input hypothesis]
42. ! [X0] : ((calm(X0) | ((~calm(X0) | ~humble(X0)) & (humble(X0) | calm(X0)))) & (((~humble(X0) | calm(X... | 0 |
If someone is either creative or not curious then susan is either not brave or not generous and vice versa. Everyone who is either tall or not humble is not old and vice versa. If alice is both not creative and wise then someone is both tall and rich and vice versa. If someone is not kind or not tall then susan is rich... | Alice is creative. | neutral | ((?[X]:((creative(X)<~>~curious(X))))<=>((~brave(susan)<~>~generous(susan))))&
(![X]:((tall(X)<~>~humble(X))<=>~old(X)))&
(((~creative(alice)&wise(alice)))<=>(?[X]:((tall(X)&rich(X)))))&
((?[X]:((~kind(X)|~tall(X))))=>(rich(susan)))&
(![X]:((~strong(X)<~>~patient(X))=>(humble(X)|creative(X))))&
(![X]:((~curious(X)<~>pa... | creative(alice) | [] | null | 0 |
Everyone who is both not tall and brave is either patient or not humble. Everyone who is old is quiet. If susan is not kind then someone is both happy and not rich. Everyone who is either funny or kind is creative or not strong and vice versa. Everyone who is both tall and not kind is curious. If john is either not bra... | Susan is humble. | entailment | (![X]:((~tall(X)&brave(X))=>(patient(X)<~>~humble(X))))&
(![X]:(old(X)=>quiet(X)))&
((~kind(susan))=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:((funny(X)<~>kind(X))<=>(creative(X)|~strong(X))))&
(![X]:((tall(X)&~kind(X))=>curious(X)))&
(((~brave(john)<~>rich(john)))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:((wise(X)|~patient... | humble(susan) | [
"p6",
"p7",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2293195908550478497718774
% SZS output start Proof for 2293195908550478497718774
7. ! [X0] : ((~patient(X0) | wise(X0)) => (humble(X0) & curious(X0))) [input p6]
8. ! [X0] : ((~quiet(X0) | generous(X0)) => (wise(X0) & ~patient(X0))) [input p7]
12. (generous(susan) & curious(susan)) <=> ? ... | 0 |
Everyone who is creative or patient is both not rich and tall and vice versa. Everyone who is funny or strong is either patient or quiet and vice versa. If lucy is not curious then someone is either happy or creative. If someone is old or not kind then alice is not happy and vice versa. Everyone who is both not old and... | Susan is humble. | neutral | (![X]:((creative(X)|patient(X))<=>(~rich(X)&tall(X))))&
(![X]:((funny(X)|strong(X))<=>(patient(X)<~>quiet(X))))&
((~curious(lucy))=>(?[X]:((happy(X)<~>creative(X)))))&
((?[X]:((old(X)|~kind(X))))<=>(~happy(alice)))&
(![X]:((~old(X)&wise(X))=>(generous(X)|funny(X))))&
(![X]:((happy(X)&rich(X))=>(~kind(X)<~>~curious(X)))... | humble(susan) | [] | null | 0 |
Everyone who is rich is both not kind and happy.
Everyone who is tall is either generous or not brave.
If someone is both not calm and old then someone is either not wise or wise and vice versa.
Everyone who is either patient or curious is not generous and vice versa.
If lucy is not rich then susan is either patient or... | Alice is not old. | entailment | (![X]:(rich(X)=>(~kind(X)&happy(X))))&
(![X]:(tall(X)=>(generous(X)<~>~brave(X))))&
((?[X]:((~calm(X)&old(X))))<=>(?[X]:((~wise(X)<~>wise(X)))))&
(![X]:((patient(X)<~>curious(X))<=>~generous(X)))&
((~rich(lucy))<=>((patient(susan)<~>generous(susan))))&
((?[X]:(~curious(X)))<=>(?[X]:((~wise(X)<~>quiet(X)))))&
(![X]:((~h... | ~old(alice) | [
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 639556332048989010646584
% SZS output start Proof for 639556332048989010646584
9. ! [X0] : ((old(X0) | ~calm(X0)) => ~generous(X0)) [input p8]
23. generous(alice) [input p22]
25. old(alice) [input hypothesis]
32. ! [X0] : (~generous(X0) | (~old(X0) & calm(X0))) [ennf transformation 9]
99.... | 0 |
Everyone who is either not old or funny is not strong or not calm.
Everyone who is either not humble or generous is not strong or not generous and vice versa.
If paul is either not quiet or humble then someone is either strong or not wise and vice versa.
If paul is both not quiet and wise then someone is not humble or ... | John is humble. | contradiction | (![X]:((~old(X)<~>funny(X))=>(~strong(X)|~calm(X))))&
(![X]:((~humble(X)<~>generous(X))<=>(~strong(X)|~generous(X))))&
(((~quiet(paul)<~>humble(paul)))<=>(?[X]:((strong(X)<~>~wise(X)))))&
(((~quiet(paul)&wise(paul)))=>(?[X]:((~humble(X)|kind(X)))))&
(![X]:((funny(X)|old(X))=>calm(X)))&
(![X]:((~wise(X)|happy(X))=>(~wis... | humble(john) | [
"p4",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9061623514969590757645269
% SZS output start Proof for 9061623514969590757645269
5. ! [X0] : ((old(X0) | funny(X0)) => calm(X0)) [input p4]
7. ! [X0] : (humble(X0) => (kind(X0) & happy(X0))) [input p6]
9. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => (happy(X0) <~> calm(X0))) [input p8]
14. ! [... | 0 |
If someone is both not humble and creative then mary is either not tall or not old and vice versa. Everyone who is either creative or strong is rich. Everyone who is generous or strong is both not calm and happy. Everyone who is not happy or not brave is strong and vice versa. Everyone who is not generous or funny is b... | Lucy is not happy. | contradiction | ((?[X]:((~humble(X)&creative(X))))<=>((~tall(mary)<~>~old(mary))))&
(![X]:((creative(X)<~>strong(X))=>rich(X)))&
(![X]:((generous(X)|strong(X))=>(~calm(X)&happy(X))))&
(![X]:((~happy(X)|~brave(X))<=>strong(X)))&
(![X]:((~generous(X)|funny(X))<=>(~kind(X)&calm(X))))&
(((humble(alice)|old(alice)))=>(?[X]:((~old(X)|~wise(... | ~happy(lucy) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6223025268926232172718860
% SZS output start Proof for 6223025268926232172718860
3. ! [X0] : ((strong(X0) | generous(X0)) => (happy(X0) & ~calm(X0))) [input p2]
4. ! [X0] : ((~brave(X0) | ~happy(X0)) <=> strong(X0)) [input p3]
21. ~happy(lucy) [input hypothesis]
27. ! [X0] : ((happy(X0) &... | 0 |
If someone is both humble and not humble then mary is either calm or funny.
Everyone who is funny or not happy is not humble and vice versa.
Everyone who is not happy or creative is both funny and happy and vice versa.
If john is creative then paul is not patient and vice versa.
If someone is both not curious and not w... | Fred is rich. | entailment | ((?[X]:((humble(X)&~humble(X))))=>((calm(mary)<~>funny(mary))))&
(![X]:((funny(X)|~happy(X))<=>~humble(X)))&
(![X]:((~happy(X)|creative(X))<=>(funny(X)&happy(X))))&
((creative(john))<=>(~patient(paul)))&
((?[X]:((~curious(X)&~wise(X))))<=>(?[X]:((~tall(X)<~>~generous(X)))))&
(![X]:((~brave(X)|~humble(X))<=>(~strong(X)<... | rich(fred) | [
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4025966343676395426636562
% SZS output start Proof for 4025966343676395426636562
11. ! [X0] : ((~happy(X0) | quiet(X0)) <=> (happy(X0) & ~patient(X0))) [input p10]
15. ! [X0] : ((patient(X0) & ~tall(X0)) <=> (~rich(X0) | patient(X0))) [input p14]
22. quiet(fred) [input p21]
24. ~rich(fred... | 0 |
Everyone who is both quiet and not wise is both brave and not creative and vice versa.
Everyone who is not humble is strong or generous and vice versa.
Everyone who is strong is not patient and vice versa.
Everyone who is not funny is both not quiet and tall.
Everyone who is kind is both not generous and not happy.
Eve... | Fred is not brave. | neutral | (![X]:((quiet(X)&~wise(X))<=>(brave(X)&~creative(X))))&
(![X]:(~humble(X)<=>(strong(X)|generous(X))))&
(![X]:(strong(X)<=>~patient(X)))&
(![X]:(~funny(X)=>(~quiet(X)&tall(X))))&
(![X]:(kind(X)=>(~generous(X)&~happy(X))))&
(![X]:((quiet(X)|~quiet(X))<=>(~rich(X)&~kind(X))))&
((?[X]:((~generous(X)&funny(X))))<=>(?[X]:((~... | ~brave(fred) | [] | null | 0 |
Everyone who is both funny and wise is not kind. Everyone who is both old and quiet is both not generous and creative. If someone is both not calm and humble then someone is both not curious and not patient. If someone is not curious or calm then someone is not funny and vice versa. Everyone who is not brave or not tal... | Susan is not calm. | neutral | (![X]:((funny(X)&wise(X))=>~kind(X)))&
(![X]:((old(X)&quiet(X))=>(~generous(X)&creative(X))))&
((?[X]:((~calm(X)&humble(X))))=>(?[X]:((~curious(X)&~patient(X)))))&
((?[X]:((~curious(X)|calm(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~brave(X)|~tall(X))<=>~strong(X)))&
(![X]:((calm(X)<~>brave(X))<=>(~tall(X)<~>~brave(X))))&
(... | ~calm(susan) | [] | null | 0 |
If fred is not creative then someone is either happy or not humble and vice versa.
If someone is both not happy and not tall then alice is humble and vice versa.
If mary is not rich then mary is not funny or not kind.
If lucy is strong or not rich then someone is creative and vice versa.
Everyone who is both not humble... | Lucy is not rich. | entailment | ((~creative(fred))<=>(?[X]:((happy(X)<~>~humble(X)))))&
((?[X]:((~happy(X)&~tall(X))))<=>(humble(alice)))&
((~rich(mary))=>((~funny(mary)|~kind(mary))))&
(((strong(lucy)|~rich(lucy)))<=>(?[X]:(creative(X))))&
(![X]:((~humble(X)&~wise(X))<=>(strong(X)<~>~wise(X))))&
(((rich(fred)<~>~calm(fred)))<=>(?[X]:((~funny(X)<~>~c... | ~rich(lucy) | [
"p3",
"p4",
"p10",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7164880569778970090232990
% SZS output start Proof for 7164880569778970090232990
4. (~rich(lucy) | strong(lucy)) <=> ? [X0] : creative(X0) [input p3]
5. ! [X0] : ((~wise(X0) & ~humble(X0)) <=> (strong(X0) <~> ~wise(X0))) [input p4]
11. ! [X0] : ((~calm(X0) <~> ~humble(X0)) <=> (curious(X0... | 0 |
If john is kind or not generous then fred is quiet or wise.
Everyone who is both not funny and not patient is both not patient and quiet and vice versa.
Everyone who is not rich is strong and vice versa.
If someone is both not patient and not humble then someone is not wise.
Everyone who is either humble or curious is ... | Susan is old. | entailment | (((kind(john)|~generous(john)))=>((quiet(fred)|wise(fred))))&
(![X]:((~funny(X)&~patient(X))<=>(~patient(X)&quiet(X))))&
(![X]:(~rich(X)<=>strong(X)))&
((?[X]:((~patient(X)&~humble(X))))=>(?[X]:(~wise(X))))&
(![X]:((humble(X)<~>curious(X))<=>(~kind(X)&~calm(X))))&
((~generous(susan))=>(?[X]:((~calm(X)|~tall(X)))))&
(![... | old(susan) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8601179918058378919418180
% SZS output start Proof for 8601179918058378919418180
14. ! [X0] : ((~generous(X0) | rich(X0)) <=> (~rich(X0) | old(X0))) [input p13]
16. ! [X0] : ((creative(X0) & old(X0)) <=> (~old(X0) & ~rich(X0))) [input p15]
24. ~old(susan) [input hypothesis]
56. ! [X0] : (... | 0 |
Everyone who is quiet is both not rich and creative.
If lucy is not funny or curious then susan is either not brave or happy and vice versa.
If susan is both humble and wise then someone is not old and vice versa.
Everyone who is both not tall and rich is patient or tall.
Everyone who is creative is kind or generous an... | Lucy is not funny. | neutral | (![X]:(quiet(X)=>(~rich(X)&creative(X))))&
(((~funny(lucy)|curious(lucy)))<=>((~brave(susan)<~>happy(susan))))&
(((humble(susan)&wise(susan)))<=>(?[X]:(~old(X))))&
(![X]:((~tall(X)&rich(X))=>(patient(X)|tall(X))))&
(![X]:(creative(X)<=>(kind(X)|generous(X))))&
(![X]:((kind(X)<~>brave(X))<=>(~happy(X)&creative(X))))&
((... | ~funny(lucy) | [] | null | 0 |
Everyone who is not rich is either not quiet or old and vice versa.
Everyone who is not patient is both not patient and tall.
If john is both not rich and happy then someone is both funny and not funny.
If susan is either happy or not generous then mary is not tall.
If someone is both not quiet and not rich then someon... | John is not generous. | neutral | (![X]:(~rich(X)<=>(~quiet(X)<~>old(X))))&
(![X]:(~patient(X)=>(~patient(X)&tall(X))))&
(((~rich(john)&happy(john)))=>(?[X]:((funny(X)&~funny(X)))))&
(((happy(susan)<~>~generous(susan)))=>(~tall(mary)))&
((?[X]:((~quiet(X)&~rich(X))))<=>(?[X]:(tall(X))))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:(funny(X))))&
(![X]:(hap... | ~generous(john) | [] | null | 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 not 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 both not calm and not humble is both not creative and not strong.
If lucy is not rich then paul is either tall or not happy and vice versa.
If someone is funny or kind then paul is both not kind and wise and vice versa.
Everyone who is creative or generous is old or calm.
Everyone who is either not happ... | Mary is not old. | contradiction | (![X]:((~calm(X)&~humble(X))=>(~creative(X)&~strong(X))))&
((~rich(lucy))<=>((tall(paul)<~>~happy(paul))))&
((?[X]:((funny(X)|kind(X))))<=>((~kind(paul)&wise(paul))))&
(![X]:((creative(X)|generous(X))=>(old(X)|calm(X))))&
(![X]:((~happy(X)<~>rich(X))<=>(~creative(X)<~>rich(X))))&
(![X]:((~quiet(X)&~happy(X))=>~wise(X))... | ~old(mary) | [
"p3",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8684588245023471383966446
% SZS output start Proof for 8684588245023471383966446
4. ! [X0] : ((generous(X0) | creative(X0)) => (calm(X0) | old(X0))) [input p3]
9. ! [X0] : ((~creative(X0) | funny(X0)) <=> ~funny(X0)) [input p8]
11. ! [X0] : (~funny(X0) <=> quiet(X0)) [input p10]
12. (calm... | 0 |
If lucy is not humble then someone is both tall and not patient.
Everyone who is either calm or not calm is not creative.
Everyone who is not rich or not creative is not curious and vice versa.
If alice is both not curious and not humble then someone is both quiet and happy and vice versa.
Everyone who is both not crea... | Lucy is strong. | neutral | ((~humble(lucy))=>(?[X]:((tall(X)&~patient(X)))))&
(![X]:((calm(X)<~>~calm(X))=>~creative(X)))&
(![X]:((~rich(X)|~creative(X))<=>~curious(X)))&
(((~curious(alice)&~humble(alice)))<=>(?[X]:((quiet(X)&happy(X)))))&
(![X]:((~creative(X)&~tall(X))=>~funny(X)))&
((~brave(paul))<=>(?[X]:((quiet(X)&~patient(X)))))&
((strong(p... | strong(lucy) | [] | null | 0 |
If john is not tall or not generous then lucy is kind or not rich and vice versa.
If someone is tall or curious then someone is curious.
Everyone who is either not rich or not creative is either calm or not quiet and vice versa.
Everyone who is not humble is both patient and rich.
If susan is wise then paul is both cur... | Mary is not generous. | contradiction | (((~tall(john)|~generous(john)))<=>((kind(lucy)|~rich(lucy))))&
((?[X]:((tall(X)|curious(X))))=>(?[X]:(curious(X))))&
(![X]:((~rich(X)<~>~creative(X))<=>(calm(X)<~>~quiet(X))))&
(![X]:(~humble(X)=>(patient(X)&rich(X))))&
((wise(susan))=>((curious(paul)&funny(paul))))&
(![X]:((patient(X)<~>~generous(X))<=>(~rich(X)&pati... | ~generous(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8473775890114415174887822
% SZS output start Proof for 8473775890114415174887822
19. generous(mary) & funny(mary) [input p18]
23. ~generous(mary) [input hypothesis]
141. generous(mary) [cnf transformation 19]
145. ~generous(mary) [cnf transformation 23]
264. $false [subsumption resolution... | 0 |
Everyone who is both creative and calm is not happy or not creative and vice versa.
Everyone who is strong or not generous is both calm and not calm.
Everyone who is either quiet or not generous is both wise and not happy.
If someone is not humble then john is both old and tall.
Everyone who is patient or not brave is ... | John is kind. | neutral | (![X]:((creative(X)&calm(X))<=>(~happy(X)|~creative(X))))&
(![X]:((strong(X)|~generous(X))=>(calm(X)&~calm(X))))&
(![X]:((quiet(X)<~>~generous(X))=>(wise(X)&~happy(X))))&
((?[X]:(~humble(X)))=>((old(john)&tall(john))))&
(![X]:((patient(X)|~brave(X))=>~strong(X)))&
(((curious(paul)<~>wise(paul)))=>(?[X]:((humble(X)&calm... | kind(john) | [] | null | 0 |
Everyone who is not rich is either not calm or brave and vice versa.
Everyone who is either funny or not quiet is both humble and not tall and vice versa.
Everyone who is not old or kind is not quiet or brave.
Everyone who is either not old or brave is not kind.
If fred is not patient then someone is both quiet and kin... | Lucy is patient. | contradiction | (![X]:(~rich(X)<=>(~calm(X)<~>brave(X))))&
(![X]:((funny(X)<~>~quiet(X))<=>(humble(X)&~tall(X))))&
(![X]:((~old(X)|kind(X))=>(~quiet(X)|brave(X))))&
(![X]:((~old(X)<~>brave(X))=>~kind(X)))&
((~patient(fred))<=>(?[X]:((quiet(X)&kind(X)))))&
((?[X]:((~happy(X)<~>~old(X))))<=>(?[X]:((~calm(X)&~quiet(X)))))&
(![X]:((genero... | patient(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 420679594471716409121300
% SZS output start Proof for 420679594471716409121300
15. ? [X0] : (patient(X0) | rich(X0)) => (~patient(lucy) & generous(lucy)) [input p14]
24. patient(lucy) [input hypothesis]
36. (~patient(lucy) & generous(lucy)) | ! [X0] : (~patient(X0) & ~rich(X0)) [ennf tran... | 0 |
If someone is not happy then someone is both not old and not brave and vice versa.
Everyone who is both wise and quiet is not kind or funny.
Everyone who is not kind is both not creative and not generous and vice versa.
If paul is both not curious and curious then someone is not brave.
If mary is not kind or not calm t... | Mary is calm. | contradiction | ((?[X]:(~happy(X)))<=>(?[X]:((~old(X)&~brave(X)))))&
(![X]:((wise(X)&quiet(X))=>(~kind(X)|funny(X))))&
(![X]:(~kind(X)<=>(~creative(X)&~generous(X))))&
(((~curious(paul)&curious(paul)))=>(?[X]:(~brave(X))))&
(((~kind(mary)|~calm(mary)))=>((funny(john)<~>patient(john))))&
((?[X]:(patient(X)))=>((~kind(john)|~creative(jo... | calm(mary) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8316103924901968732856020
% SZS output start Proof for 8316103924901968732856020
17. ~generous(mary) & ~calm(mary) [input p16]
25. calm(mary) [input hypothesis]
137. ~calm(mary) [cnf transformation 17]
150. calm(mary) [cnf transformation 25]
173. 6 <=> calm(mary) [avatar definition]
366. ... | 0 |
If mary is happy or kind then someone is not generous and vice versa.
Everyone who is either rich or curious is either not wise or not quiet.
Everyone who is either not tall or brave is either not old or brave.
Everyone who is both not curious and not humble is not patient.
If lucy is both tall and not rich then lucy i... | Lucy is tall. | contradiction | (((happy(mary)|kind(mary)))<=>(?[X]:(~generous(X))))&
(![X]:((rich(X)<~>curious(X))=>(~wise(X)<~>~quiet(X))))&
(![X]:((~tall(X)<~>brave(X))=>(~old(X)<~>brave(X))))&
(![X]:((~curious(X)&~humble(X))=>~patient(X)))&
(((tall(lucy)&~rich(lucy)))=>((rich(lucy)&curious(lucy))))&
((humble(alice))=>(?[X]:((~rich(X)<~>~generous(... | tall(lucy) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8174081740685918893832008
% SZS output start Proof for 8174081740685918893832008
23. ~wise(lucy) & ~tall(lucy) [input p22]
24. tall(lucy) [input hypothesis]
125. ~tall(lucy) [cnf transformation 23]
127. tall(lucy) [cnf transformation 24]
153. 5 <=> tall(lucy) [avatar definition]
294. ~5 [... | 0 |
Everyone who is either curious or not old is both rich and not wise. Everyone who is not funny is brave and vice versa. If alice is both not strong and not wise then lucy is either patient or quiet. Everyone who is humble is either humble or not calm. If alice is either generous or not old then mary is either strong or... | Susan is humble. | contradiction | (![X]:((curious(X)<~>~old(X))=>(rich(X)&~wise(X))))&
(![X]:(~funny(X)<=>brave(X)))&
(((~strong(alice)&~wise(alice)))=>((patient(lucy)<~>quiet(lucy))))&
(![X]:(humble(X)=>(humble(X)<~>~calm(X))))&
(((generous(alice)<~>~old(alice)))=>((strong(mary)<~>calm(mary))))&
(((brave(lucy)|~kind(lucy)))<=>((~generous(susan)<~>~pat... | humble(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5351049945629368856288500
% SZS output start Proof for 5351049945629368856288500
15. ! [X0] : (~funny(X0) <=> (funny(X0) & humble(X0))) [input p14]
25. humble(susan) [input hypothesis]
66. ! [X0] : ((~funny(X0) | (~funny(X0) | ~humble(X0))) & ((funny(X0) & humble(X0)) | funny(X0))) [nnf t... | 0 |
If paul is both brave and not tall then someone is both creative and not creative and vice versa.
Everyone who is quiet or calm is either not humble or calm and vice versa.
If someone is curious or not strong then paul is not quiet.
If someone is both creative and not wise then someone is old or not kind and vice versa... | John is calm. | contradiction | (((brave(paul)&~tall(paul)))<=>(?[X]:((creative(X)&~creative(X)))))&
(![X]:((quiet(X)|calm(X))<=>(~humble(X)<~>calm(X))))&
((?[X]:((curious(X)|~strong(X))))=>(~quiet(paul)))&
((?[X]:((creative(X)&~wise(X))))<=>(?[X]:((old(X)|~kind(X)))))&
((?[X]:(creative(X)))=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:((~brave(X)<~>~... | calm(john) | [
"p1",
"p3",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 294085759328148856452834
% SZS output start Proof for 294085759328148856452834
2. ! [X0] : ((calm(X0) | quiet(X0)) <=> (~humble(X0) <~> calm(X0))) [input p1]
4. ? [X0] : (~wise(X0) & creative(X0)) <=> ? [X0] : (~kind(X0) | old(X0)) [input p3]
7. ! [X0] : ((~brave(X0) | ~old(X0)) => ~humbl... | 0 |
Everyone who is not humble or creative is either not humble or not quiet and vice versa.
If someone is old then paul is wise or not strong.
Everyone who is both not calm and strong is rich.
Everyone who is not tall or kind is strong.
Everyone who is quiet is not humble or not old.
Everyone who is not brave is both not ... | Paul is wise. | neutral | (![X]:((~humble(X)|creative(X))<=>(~humble(X)<~>~quiet(X))))&
((?[X]:(old(X)))=>((wise(paul)|~strong(paul))))&
(![X]:((~calm(X)&strong(X))=>rich(X)))&
(![X]:((~tall(X)|kind(X))=>strong(X)))&
(![X]:(quiet(X)=>(~humble(X)|~old(X))))&
(![X]:(~brave(X)<=>(~patient(X)&~wise(X))))&
(![X]:((~generous(X)&patient(X))=>(funny(X)... | wise(paul) | [] | null | 0 |
Everyone who is both tall and not curious is rich and vice versa.
Everyone who is curious is both old and not brave and vice versa.
If fred is either not brave or wise then someone is either not brave or not old.
If someone is either not calm or not patient then alice is both not old and calm and vice versa.
If someone... | Fred is kind. | contradiction | (![X]:((tall(X)&~curious(X))<=>rich(X)))&
(![X]:(curious(X)<=>(old(X)&~brave(X))))&
(((~brave(fred)<~>wise(fred)))=>(?[X]:((~brave(X)<~>~old(X)))))&
((?[X]:((~calm(X)<~>~patient(X))))<=>((~old(alice)&calm(alice))))&
((?[X]:((curious(X)|~humble(X))))=>(?[X]:(calm(X))))&
(![X]:(~patient(X)<=>(~quiet(X)<~>~generous(X))))&... | kind(fred) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1993548446749335275678555
% SZS output start Proof for 1993548446749335275678555
23. ~kind(fred) [input p22]
25. kind(fred) [input hypothesis]
143. ~kind(fred) [cnf transformation 23]
145. kind(fred) [cnf transformation 25]
324. $false [subsumption resolution 145,143]
% SZS output end Pro... | 0 |
Everyone who is both not old and tall is both old and brave and vice versa.
If someone is either not funny or not kind then mary is either curious or not kind.
Everyone who is wise or not patient is both not strong and not happy.
Everyone who is both rich and wise is brave and vice versa.
Everyone who is not humble or ... | Paul is not brave. | contradiction | (![X]:((~old(X)&tall(X))<=>(old(X)&brave(X))))&
((?[X]:((~funny(X)<~>~kind(X))))=>((curious(mary)<~>~kind(mary))))&
(![X]:((wise(X)|~patient(X))=>(~strong(X)&~happy(X))))&
(![X]:((rich(X)&wise(X))<=>brave(X)))&
(![X]:((~humble(X)|~strong(X))<=>(patient(X)|brave(X))))&
(![X]:(patient(X)<=>humble(X)))&
(((~patient(paul)&... | ~brave(paul) | [
"p2",
"p4",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 482132401846223594930323
% SZS output start Proof for 482132401846223594930323
3. ! [X0] : ((~patient(X0) | wise(X0)) => (~happy(X0) & ~strong(X0))) [input p2]
5. ! [X0] : ((~strong(X0) | ~humble(X0)) <=> (brave(X0) | patient(X0))) [input p4]
11. ! [X0] : ((~happy(X0) | patient(X0)) <=> (... | 0 |
Everyone who is not humble is both wise and not generous and vice versa.
If someone is either brave or strong then paul is either not old or not humble and vice versa.
Everyone who is either not old or brave is both not kind and not creative.
Everyone who is both generous and humble is not curious or not calm and vice ... | Susan is creative. | contradiction | (![X]:(~humble(X)<=>(wise(X)&~generous(X))))&
((?[X]:((brave(X)<~>strong(X))))<=>((~old(paul)<~>~humble(paul))))&
(![X]:((~old(X)<~>brave(X))=>(~kind(X)&~creative(X))))&
(![X]:((generous(X)&humble(X))<=>(~curious(X)|~calm(X))))&
(![X]:((~happy(X)|funny(X))<=>(rich(X)|generous(X))))&
((?[X]:((old(X)|rich(X))))=>((~happy... | creative(susan) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 855837373485156283911780
% SZS output start Proof for 855837373485156283911780
3. ! [X0] : ((~old(X0) <~> brave(X0)) => (~creative(X0) & ~kind(X0))) [input p2]
19. ~old(susan) & ~brave(susan) [input p18]
23. creative(susan) [input hypothesis]
25. ! [X0] : ((~creative(X0) & ~kind(X0)) | (~... | 0 |
If susan is not humble or not strong then someone is both generous and not humble and vice versa.
If lucy is not tall or quiet then paul is either calm or not funny.
Everyone who is either happy or not patient is creative and vice versa.
If someone is both not kind and not tall then someone is either not humble or brav... | Mary is generous. | contradiction | (((~humble(susan)|~strong(susan)))<=>(?[X]:((generous(X)&~humble(X)))))&
(((~tall(lucy)|quiet(lucy)))=>((calm(paul)<~>~funny(paul))))&
(![X]:((happy(X)<~>~patient(X))<=>creative(X)))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((~humble(X)<~>brave(X)))))&
(![X]:((tall(X)&humble(X))<=>(calm(X)|~quiet(X))))&
(![X]:((~calm(X)|c... | generous(mary) | [
"p4",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2649992740372713924186381
% SZS output start Proof for 2649992740372713924186381
5. ! [X0] : ((humble(X0) & tall(X0)) <=> (~quiet(X0) | calm(X0))) [input p4]
6. ! [X0] : ((calm(X0) | ~calm(X0)) => (patient(X0) & ~rich(X0))) [input p5]
9. ! [X0] : ((happy(X0) | generous(X0)) <=> (~rich(X0)... | 0 |
If someone is not brave or not tall then mary is either generous or curious and vice versa.
Everyone who is both not rich and happy is both funny and not kind and vice versa.
Everyone who is both calm and kind is both kind and not happy and vice versa.
Everyone who is both not old and not creative is not patient or not... | Alice is not brave. | entailment | ((?[X]:((~brave(X)|~tall(X))))<=>((generous(mary)<~>curious(mary))))&
(![X]:((~rich(X)&happy(X))<=>(funny(X)&~kind(X))))&
(![X]:((calm(X)&kind(X))<=>(kind(X)&~happy(X))))&
(![X]:((~old(X)&~creative(X))<=>(~patient(X)|~strong(X))))&
(![X]:((~generous(X)<~>kind(X))<=>(creative(X)&~generous(X))))&
(![X]:((~calm(X)|wise(X)... | ~brave(alice) | [
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8175989434644966176725632
% SZS output start Proof for 8175989434644966176725632
4. ! [X0] : ((~creative(X0) & ~old(X0)) <=> (~strong(X0) | ~patient(X0))) [input p3]
5. ! [X0] : ((~generous(X0) <~> kind(X0)) <=> (~generous(X0) & creative(X0))) [input p4]
6. ! [X0] : ((wise(X0) | ~calm(X0)... | 0 |
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