premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is tall or not old is curious and vice versa.
Everyone who is creative or not kind is wise or not generous.
Everyone who is not patient is patient or not brave and vice versa.
If someone is both not rich and not brave then someone is not rich and vice versa.
If someone is brave or not kind then someone is ... | Alice is not creative. | entailment | (![X]:((tall(X)|~old(X))<=>curious(X)))&
(![X]:((creative(X)|~kind(X))=>(wise(X)|~generous(X))))&
(![X]:(~patient(X)<=>(patient(X)|~brave(X))))&
((?[X]:((~rich(X)&~brave(X))))<=>(?[X]:(~rich(X))))&
((?[X]:((brave(X)|~kind(X))))=>(?[X]:((~funny(X)|~curious(X)))))&
((?[X]:((~kind(X)&~rich(X))))=>((~wise(mary)<~>old(mary)... | ~creative(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3486882220926147115623452
% SZS output start Proof for 3486882220926147115623452
12. ! [X0] : ((creative(X0) & wise(X0)) <=> ~wise(X0)) [input p11]
22. creative(alice) [input hypothesis]
58. ! [X0] : (((creative(X0) & wise(X0)) | wise(X0)) & (~wise(X0) | (~creative(X0) | ~wise(X0)))) [nnf... | 0 |
Everyone who is not old or brave is both not brave and not old and vice versa. If someone is humble or happy then mary is either tall or not creative. Everyone who is not brave or kind is not funny and vice versa. Everyone who is rich is wise or not tall. Everyone who is either not curious or not calm is curious and vi... | Lucy is not creative. | contradiction | (![X]:((~old(X)|brave(X))<=>(~brave(X)&~old(X))))&
((?[X]:((humble(X)|happy(X))))=>((tall(mary)<~>~creative(mary))))&
(![X]:((~brave(X)|kind(X))<=>~funny(X)))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(~rich(X)<=>... | ~creative(lucy) | [
"p0",
"p2",
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5477927791727717451238010
% SZS output start Proof for 5477927791727717451238010
1. ! [X0] : ((brave(X0) | ~old(X0)) <=> (~old(X0) & ~brave(X0))) [input p0]
3. ! [X0] : ((kind(X0) | ~brave(X0)) <=> ~funny(X0)) [input p2]
5. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p4... | 0 |
If john is not quiet then alice is both not kind and not generous and vice versa.
If someone is both kind and patient then someone is not funny or wise and vice versa.
Everyone who is not strong is both not old and patient and vice versa.
Everyone who is not strong is calm and vice versa.
If alice is both not brave and... | Fred is not patient. | entailment | ((~quiet(john))<=>((~kind(alice)&~generous(alice))))&
((?[X]:((kind(X)&patient(X))))<=>(?[X]:((~funny(X)|wise(X)))))&
(![X]:(~strong(X)<=>(~old(X)&patient(X))))&
(![X]:(~strong(X)<=>calm(X)))&
(((~brave(alice)&~tall(alice)))=>(?[X]:((creative(X)|brave(X)))))&
(![X]:((humble(X)<~>generous(X))=>old(X)))&
(((old(john)&~ca... | ~patient(fred) | [
"p3",
"p8",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1270067983629987225305059
% SZS output start Proof for 1270067983629987225305059
4. ! [X0] : (~strong(X0) <=> calm(X0)) [input p3]
9. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> (brave(X0) & calm(X0))) [input p8]
12. ! [X0] : ((patient(X0) | humble(X0)) => (rich(X0) <~> ~brave(X0))) [input ... | 0 |
If someone is not humble then john is not funny or kind and vice versa.
Everyone who is patient is curious and vice versa.
If someone is either not kind or strong then mary is both curious and strong and vice versa.
Everyone who is both not brave and not quiet is both not curious and not happy and vice versa.
If alice ... | Lucy is patient. | neutral | ((?[X]:(~humble(X)))<=>((~funny(john)|kind(john))))&
(![X]:(patient(X)<=>curious(X)))&
((?[X]:((~kind(X)<~>strong(X))))<=>((curious(mary)&strong(mary))))&
(![X]:((~brave(X)&~quiet(X))<=>(~curious(X)&~happy(X))))&
((old(alice))=>(?[X]:((tall(X)&strong(X)))))&
(((humble(alice)|patient(alice)))<=>(?[X]:((~patient(X)|creat... | patient(lucy) | [] | null | 0 |
Everyone who is tall is both strong and tall and vice versa.
If someone is both happy and kind then mary is both quiet and not rich.
If someone is both patient and not generous then paul is not kind and vice versa.
Everyone who is both wise and tall is creative.
Everyone who is both quiet and kind is either not generou... | Alice is not brave. | neutral | (![X]:(tall(X)<=>(strong(X)&tall(X))))&
((?[X]:((happy(X)&kind(X))))=>((quiet(mary)&~rich(mary))))&
((?[X]:((patient(X)&~generous(X))))<=>(~kind(paul)))&
(![X]:((wise(X)&tall(X))=>creative(X)))&
(![X]:((quiet(X)&kind(X))<=>(~generous(X)<~>calm(X))))&
(![X]:((~happy(X)|creative(X))<=>(~tall(X)&~old(X))))&
(![X]:((~rich(... | ~brave(alice) | [] | null | 0 |
Everyone who is funny is quiet. Everyone who is generous or not funny is not quiet or not kind and vice versa. Everyone who is patient or not wise is tall or not wise and vice versa. Everyone who is either kind or generous is either not old or tall and vice versa. Everyone who is not wise is either not patient or stron... | Mary is calm. | neutral | (![X]:(funny(X)=>quiet(X)))&
(![X]:((generous(X)|~funny(X))<=>(~quiet(X)|~kind(X))))&
(![X]:((patient(X)|~wise(X))<=>(tall(X)|~wise(X))))&
(![X]:((kind(X)<~>generous(X))<=>(~old(X)<~>tall(X))))&
(![X]:(~wise(X)=>(~patient(X)<~>strong(X))))&
((old(susan))<=>(?[X]:((funny(X)<~>~brave(X)))))&
(![X]:(~curious(X)<=>(generou... | calm(mary) | [] | null | 0 |
If alice is either not rich or humble then mary is either calm or not happy. Everyone who is either not generous or tall is both creative and not patient and vice versa. Everyone who is brave or strong is not patient or not rich. Everyone who is either rich or not curious is not humble or wise. Everyone who is not pati... | John is tall. | entailment | (((~rich(alice)<~>humble(alice)))=>((calm(mary)<~>~happy(mary))))&
(![X]:((~generous(X)<~>tall(X))<=>(creative(X)&~patient(X))))&
(![X]:((brave(X)|strong(X))=>(~patient(X)|~rich(X))))&
(![X]:((rich(X)<~>~curious(X))=>(~humble(X)|wise(X))))&
(![X]:((~patient(X)|~creative(X))=>(~humble(X)<~>~old(X))))&
(![X]:(~tall(X)<=>... | tall(john) | [
"p1",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6529855109881868645194161
% SZS output start Proof for 6529855109881868645194161
2. ! [X0] : ((~generous(X0) <~> tall(X0)) <=> (~patient(X0) & creative(X0))) [input p1]
12. ! [X0] : ((humble(X0) | kind(X0)) => patient(X0)) [input p11]
13. ! [X0] : ((~patient(X0) & ~generous(X0)) <=> (quie... | 0 |
If susan is not quiet then lucy is both tall and not wise and vice versa. If someone is not kind then someone is quiet. Everyone who is both happy and not patient is either calm or not kind. Everyone who is not rich is both not kind and patient and vice versa. Everyone who is either not humble or not old is curious or ... | John is kind. | contradiction | ((~quiet(susan))<=>((tall(lucy)&~wise(lucy))))&
((?[X]:(~kind(X)))=>(?[X]:(quiet(X))))&
(![X]:((happy(X)&~patient(X))=>(calm(X)<~>~kind(X))))&
(![X]:(~rich(X)<=>(~kind(X)&patient(X))))&
(![X]:((~humble(X)<~>~old(X))=>(curious(X)|brave(X))))&
(((~quiet(lucy)|generous(lucy)))=>((generous(alice)|quiet(alice))))&
((?[X]:((... | kind(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8742318242068999699438527
% SZS output start Proof for 8742318242068999699438527
11. ! [X0] : ((humble(X0) & ~kind(X0)) <=> (~curious(X0) | kind(X0))) [input p10]
24. kind(john) [input hypothesis]
63. ! [X0] : (((humble(X0) & ~kind(X0)) | (curious(X0) & ~kind(X0))) & ((~curious(X0) | kind... | 0 |
If alice is not old then someone is happy.
Everyone who is old is not kind or not curious and vice versa.
If someone is both not quiet and not patient then mary is not strong and vice versa.
If someone is not patient or old then mary is kind and vice versa.
If alice is not strong or not old then someone is not wise and... | Alice is curious. | neutral | ((~old(alice))=>(?[X]:(happy(X))))&
(![X]:(old(X)<=>(~kind(X)|~curious(X))))&
((?[X]:((~quiet(X)&~patient(X))))<=>(~strong(mary)))&
((?[X]:((~patient(X)|old(X))))<=>(kind(mary)))&
(((~strong(alice)|~old(alice)))<=>(?[X]:(~wise(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((happy(X)|~wise(X)))))&
((?[X]:(~funny(X)))=>(?[X]:((tall(... | curious(alice) | [] | null | 0 |
If someone is both happy and not quiet then someone is not happy or not tall.
Everyone who is either not patient or not kind is patient and vice versa.
If paul is not strong then someone is either wise or not happy.
Everyone who is both tall and not happy is generous or kind and vice versa.
Everyone who is either rich ... | Paul is not curious. | entailment | ((?[X]:((happy(X)&~quiet(X))))=>(?[X]:((~happy(X)|~tall(X)))))&
(![X]:((~patient(X)<~>~kind(X))<=>patient(X)))&
((~strong(paul))=>(?[X]:((wise(X)<~>~happy(X)))))&
(![X]:((tall(X)&~happy(X))<=>(generous(X)|kind(X))))&
(![X]:((rich(X)<~>~rich(X))=>(~happy(X)&~old(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((old(X)|~calm(X)))))&
(... | ~curious(paul) | [
"p4",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 31960220996562196970274
% SZS output start Proof for 31960220996562196970274
5. ! [X0] : ((rich(X0) <~> ~rich(X0)) => (~old(X0) & ~happy(X0))) [input p4]
8. (tall(alice) & happy(alice)) <=> (~calm(paul) & curious(paul)) [input p7]
15. ! [X0] : ((calm(X0) | generous(X0)) => (~wise(X0) & ha... | 0 |
Everyone who is rich or humble is either not brave or not generous and vice versa.
Everyone who is not funny or not patient is calm or not generous.
Everyone who is not quiet is not happy or not quiet and vice versa.
Everyone who is both not curious and not old is both not patient and tall and vice versa.
Everyone who ... | John is calm. | entailment | (![X]:((rich(X)|humble(X))<=>(~brave(X)<~>~generous(X))))&
(![X]:((~funny(X)|~patient(X))=>(calm(X)|~generous(X))))&
(![X]:(~quiet(X)<=>(~happy(X)|~quiet(X))))&
(![X]:((~curious(X)&~old(X))<=>(~patient(X)&tall(X))))&
(![X]:((~curious(X)&~old(X))=>(~quiet(X)|creative(X))))&
((?[X]:((tall(X)<~>strong(X))))<=>(funny(paul)... | calm(john) | [
"p0",
"p1",
"p9",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6062430610124716479351305
% SZS output start Proof for 6062430610124716479351305
1. ! [X0] : ((humble(X0) | rich(X0)) <=> (~brave(X0) <~> ~generous(X0))) [input p0]
2. ! [X0] : ((~patient(X0) | ~funny(X0)) => (~generous(X0) | calm(X0))) [input p1]
10. ! [X0] : ((~funny(X0) <~> ~creative(X... | 0 |
Everyone who is either not rich or not curious is either not funny or wise. If susan is either strong or not wise then someone is either happy or not quiet and vice versa. If mary is not brave then someone is both strong and humble. Everyone who is not tall is both tall and not rich and vice versa. If mary is brave or ... | Susan is funny. | contradiction | (![X]:((~rich(X)<~>~curious(X))=>(~funny(X)<~>wise(X))))&
(((strong(susan)<~>~wise(susan)))<=>(?[X]:((happy(X)<~>~quiet(X)))))&
((~brave(mary))=>(?[X]:((strong(X)&humble(X)))))&
(![X]:(~tall(X)<=>(tall(X)&~rich(X))))&
(((brave(mary)|kind(mary)))<=>((~rich(fred)|generous(fred))))&
(![X]:((~tall(X)|wise(X))<=>~patient(X)... | funny(susan) | [
"p0",
"p3",
"p6",
"p10",
"p12",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6808904093978937138298719
% SZS output start Proof for 6808904093978937138298719
1. ! [X0] : ((~rich(X0) <~> ~curious(X0)) => (~funny(X0) <~> wise(X0))) [input p0]
4. ! [X0] : (~tall(X0) <=> (~rich(X0) & tall(X0))) [input p3]
7. ! [X0] : ((~brave(X0) & funny(X0)) <=> (~kind(X0) <~> curiou... | 0 |
Everyone who is both tall and not old is not generous.
If mary is either not patient or not tall then someone is curious or patient and vice versa.
Everyone who is both not quiet and not creative is both tall and not happy.
If alice is both not calm and not generous then john is not patient or creative.
Everyone who is... | John is not creative. | contradiction | (![X]:((tall(X)&~old(X))=>~generous(X)))&
(((~patient(mary)<~>~tall(mary)))<=>(?[X]:((curious(X)|patient(X)))))&
(![X]:((~quiet(X)&~creative(X))=>(tall(X)&~happy(X))))&
(((~calm(alice)&~generous(alice)))=>((~patient(john)|creative(john))))&
(![X]:((generous(X)|curious(X))<=>strong(X)))&
((~creative(paul))=>(?[X]:(gener... | ~creative(john) | [
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6583128697248191758480062
% SZS output start Proof for 6583128697248191758480062
7. ? [X0] : (calm(X0) | ~happy(X0)) <=> (rich(john) & creative(john)) [input p6]
20. ? [X0] : calm(X0) [input p19]
24. ~creative(john) [input hypothesis]
45. (? [X0] : (calm(X0) | ~happy(X0)) | (~rich(john) |... | 0 |
If lucy is both not patient and not funny then someone is wise and vice versa.
If susan is either not happy or not wise then susan is brave or not rich and vice versa.
Everyone who is brave or old is both not tall and rich.
If alice is not brave or not rich then mary is quiet.
Everyone who is both patient and not tall ... | Paul is not old. | entailment | (((~patient(lucy)&~funny(lucy)))<=>(?[X]:(wise(X))))&
(((~happy(susan)<~>~wise(susan)))<=>((brave(susan)|~rich(susan))))&
(![X]:((brave(X)|old(X))=>(~tall(X)&rich(X))))&
(((~brave(alice)|~rich(alice)))=>(quiet(mary)))&
(![X]:((patient(X)&~tall(X))<=>(~brave(X)|rich(X))))&
(![X]:(quiet(X)<=>(~old(X)|~happy(X))))&
(((hum... | ~old(paul) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9001052013332968362496970
% SZS output start Proof for 9001052013332968362496970
11. ! [X0] : (~patient(X0) => (patient(X0) & ~humble(X0))) [input p10]
14. ! [X0] : ((~funny(X0) | patient(X0)) <=> (~old(X0) <~> ~patient(X0))) [input p13]
22. old(paul) [input hypothesis]
27. ! [X0] : ((pat... | 0 |
If someone is either not strong or generous then paul is happy or curious. Everyone who is happy or not wise is both not rich and not curious. Everyone who is both not curious and not quiet is not creative or not generous and vice versa. If someone is both not kind and curious then someone is both wise and curious. Eve... | Lucy is not patient. | neutral | ((?[X]:((~strong(X)<~>generous(X))))=>((happy(paul)|curious(paul))))&
(![X]:((happy(X)|~wise(X))=>(~rich(X)&~curious(X))))&
(![X]:((~curious(X)&~quiet(X))<=>(~creative(X)|~generous(X))))&
((?[X]:((~kind(X)&curious(X))))=>(?[X]:((wise(X)&curious(X)))))&
(![X]:((~rich(X)&creative(X))=>(brave(X)|~rich(X))))&
((?[X]:((humb... | ~patient(lucy) | [] | null | 0 |
Everyone who is not happy or not old is both not humble and generous and vice versa. Everyone who is either not wise or wise is both funny and not creative. If someone is kind or not funny then someone is calm and vice versa. If someone is not curious then susan is either curious or old. Everyone who is strong is both ... | Susan is happy. | neutral | (![X]:((~happy(X)|~old(X))<=>(~humble(X)&generous(X))))&
(![X]:((~wise(X)<~>wise(X))=>(funny(X)&~creative(X))))&
((?[X]:((kind(X)|~funny(X))))<=>(?[X]:(calm(X))))&
((?[X]:(~curious(X)))=>((curious(susan)<~>old(susan))))&
(![X]:(strong(X)<=>(~funny(X)&~curious(X))))&
(((~happy(mary)&~creative(mary)))=>(~brave(lucy)))&
(... | happy(susan) | [] | null | 0 |
Everyone who is either not humble or tall is generous and vice versa. Everyone who is both not old and humble is not funny. Everyone who is both not curious and not tall is creative or old and vice versa. If someone is not creative or happy then someone is funny or not rich and vice versa. If lucy is both not creative ... | Lucy is not creative. | neutral | (![X]:((~humble(X)<~>tall(X))<=>generous(X)))&
(![X]:((~old(X)&humble(X))=>~funny(X)))&
(![X]:((~curious(X)&~tall(X))<=>(creative(X)|old(X))))&
((?[X]:((~creative(X)|happy(X))))<=>(?[X]:((funny(X)|~rich(X)))))&
(((~creative(lucy)&kind(lucy)))<=>((~quiet(fred)&~tall(fred))))&
(((patient(john)|kind(john)))=>((~wise(john)... | ~creative(lucy) | [] | null | 0 |
If paul is either not happy or not creative then someone is not happy or generous and vice versa.
Everyone who is funny or strong is either kind or not curious and vice versa.
If someone is either calm or old then alice is kind and vice versa.
If someone is both not quiet and creative then mary is rich and vice versa.
... | John is not creative. | contradiction | (((~happy(paul)<~>~creative(paul)))<=>(?[X]:((~happy(X)|generous(X)))))&
(![X]:((funny(X)|strong(X))<=>(kind(X)<~>~curious(X))))&
((?[X]:((calm(X)<~>old(X))))<=>(kind(alice)))&
((?[X]:((~quiet(X)&creative(X))))<=>(rich(mary)))&
(![X]:((~generous(X)<~>~humble(X))<=>(~humble(X)<~>rich(X))))&
(![X]:(~kind(X)<=>~happy(X)))... | ~creative(john) | [
"p8",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4166005164788401885170641
% SZS output start Proof for 4166005164788401885170641
9. ! [X0] : ((~kind(X0) & ~creative(X0)) <=> (kind(X0) & brave(X0))) [input p8]
11. ! [X0] : (old(X0) => (curious(X0) & ~kind(X0))) [input p10]
20. old(john) | creative(john) [input p19]
24. ~creative(john) [... | 0 |
Everyone who is either patient or not tall is both not brave and creative and vice versa.
Everyone who is tall or not brave is both wise and not old and vice versa.
Everyone who is both curious and calm is creative and vice versa.
If john is not happy or not patient then someone is kind.
If someone is both funny and no... | Susan is quiet. | entailment | (![X]:((patient(X)<~>~tall(X))<=>(~brave(X)&creative(X))))&
(![X]:((tall(X)|~brave(X))<=>(wise(X)&~old(X))))&
(![X]:((curious(X)&calm(X))<=>creative(X)))&
(((~happy(john)|~patient(john)))=>(?[X]:(kind(X))))&
((?[X]:((funny(X)&~funny(X))))<=>(?[X]:(patient(X))))&
(![X]:((generous(X)|quiet(X))=>(tall(X)|~happy(X))))&
(![... | quiet(susan) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p7",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4628481766216799082782637
% SZS output start Proof for 4628481766216799082782637
1. ! [X0] : ((patient(X0) <~> ~tall(X0)) <=> (creative(X0) & ~brave(X0))) [input p0]
2. ! [X0] : ((~brave(X0) | tall(X0)) <=> (~old(X0) & wise(X0))) [input p1]
3. ! [X0] : ((calm(X0) & curious(X0)) <=> creati... | 0 |
Everyone who is either not patient or not generous is both not calm and funny. Everyone who is either not quiet or curious is not wise or wise and vice versa. Everyone who is both not happy and not quiet is either not creative or not rich and vice versa. Everyone who is either curious or humble is not calm or quiet. Ev... | Paul is not funny. | contradiction | (![X]:((~patient(X)<~>~generous(X))=>(~calm(X)&funny(X))))&
(![X]:((~quiet(X)<~>curious(X))<=>(~wise(X)|wise(X))))&
(![X]:((~happy(X)&~quiet(X))<=>(~creative(X)<~>~rich(X))))&
(![X]:((curious(X)<~>humble(X))=>(~calm(X)|quiet(X))))&
(![X]:(~wise(X)<=>(rich(X)|~creative(X))))&
(![X]:((~rich(X)|~calm(X))<=>(calm(X)|~humbl... | ~funny(paul) | [
"p4",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 738103533732227968397056
% SZS output start Proof for 738103533732227968397056
5. ! [X0] : (~wise(X0) <=> (~creative(X0) | rich(X0))) [input p4]
9. ! [X0] : (curious(X0) <=> (wise(X0) <~> strong(X0))) [input p8]
12. ! [X0] : ((~funny(X0) | ~patient(X0)) => (~curious(X0) & wise(X0))) [inpu... | 0 |
If alice is generous or happy then paul is strong.
Everyone who is not funny is not funny or brave.
Everyone who is not generous or quiet is curious and vice versa.
Everyone who is both old and happy is both not funny and not wise.
Everyone who is either strong or funny is both curious and generous and vice versa.
If s... | Paul is kind. | neutral | (((generous(alice)|happy(alice)))=>(strong(paul)))&
(![X]:(~funny(X)=>(~funny(X)|brave(X))))&
(![X]:((~generous(X)|quiet(X))<=>curious(X)))&
(![X]:((old(X)&happy(X))=>(~funny(X)&~wise(X))))&
(![X]:((strong(X)<~>funny(X))<=>(curious(X)&generous(X))))&
((?[X]:((~calm(X)|quiet(X))))=>(?[X]:((~wise(X)|generous(X)))))&
((?[... | kind(paul) | [] | null | 0 |
Everyone who is both creative and not rich is tall. Everyone who is both old and brave is both old and not wise and vice versa. Everyone who is wise or not quiet is not funny or not creative and vice versa. Everyone who is either not happy or kind is old or not strong and vice versa. If susan is both creative and rich ... | Lucy is old. | neutral | (![X]:((creative(X)&~rich(X))=>tall(X)))&
(![X]:((old(X)&brave(X))<=>(old(X)&~wise(X))))&
(![X]:((wise(X)|~quiet(X))<=>(~funny(X)|~creative(X))))&
(![X]:((~happy(X)<~>kind(X))<=>(old(X)|~strong(X))))&
(((creative(susan)&rich(susan)))=>(?[X]:((~creative(X)<~>tall(X)))))&
((?[X]:((wise(X)<~>~strong(X))))=>((tall(mary)|pa... | old(lucy) | [] | null | 0 |
If someone is either patient or strong then mary is both not curious and not kind. If mary is not strong then someone is not wise or happy. Everyone who is not happy is both generous and not creative. Everyone who is old or funny is not happy. Everyone who is not creative or not patient is both not strong and strong an... | Lucy is old. | contradiction | ((?[X]:((patient(X)<~>strong(X))))=>((~curious(mary)&~kind(mary))))&
((~strong(mary))=>(?[X]:((~wise(X)|happy(X)))))&
(![X]:(~happy(X)=>(generous(X)&~creative(X))))&
(![X]:((old(X)|funny(X))=>~happy(X)))&
(![X]:((~creative(X)|~patient(X))<=>(~strong(X)&strong(X))))&
(![X]:((~humble(X)<~>~calm(X))=>generous(X)))&
((?[X]... | old(lucy) | [
"p2",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2227056372975517904761451
% SZS output start Proof for 2227056372975517904761451
3. ! [X0] : (~happy(X0) => (~creative(X0) & generous(X0))) [input p2]
4. ! [X0] : ((funny(X0) | old(X0)) => ~happy(X0)) [input p3]
5. ! [X0] : ((~patient(X0) | ~creative(X0)) <=> (strong(X0) & ~strong(X0))) [... | 0 |
Everyone who is either not old or not tall is not patient or wise. Everyone who is not creative is strong and vice versa. Everyone who is either not calm or strong is either wise or happy and vice versa. Everyone who is not strong or not wise is curious or not funny and vice versa. If someone is either happy or creativ... | Lucy is not tall. | entailment | (![X]:((~old(X)<~>~tall(X))=>(~patient(X)|wise(X))))&
(![X]:(~creative(X)<=>strong(X)))&
(![X]:((~calm(X)<~>strong(X))<=>(wise(X)<~>happy(X))))&
(![X]:((~strong(X)|~wise(X))<=>(curious(X)|~funny(X))))&
((?[X]:((happy(X)<~>creative(X))))<=>(?[X]:((rich(X)|strong(X)))))&
(![X]:((strong(X)|patient(X))=>~humble(X)))&
(![X]... | ~tall(lucy) | [
"p1",
"p9",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 497334836160891447994927
% SZS output start Proof for 497334836160891447994927
2. ! [X0] : (~creative(X0) <=> strong(X0)) [input p1]
10. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> (rich(X0) & ~generous(X0))) [input p9]
14. ! [X0] : ((~happy(X0) | ~creative(X0)) => ~strong(X0)) [input p13]
... | 0 |
Everyone who is both curious and not old is happy. Everyone who is not tall is not patient. If lucy is not strong then mary is funny and vice versa. Everyone who is kind or not quiet is not brave or happy and vice versa. Everyone who is either not curious or happy is either humble or not happy. If someone is tall or cu... | Mary is not wise. | contradiction | (![X]:((curious(X)&~old(X))=>happy(X)))&
(![X]:(~tall(X)=>~patient(X)))&
((~strong(lucy))<=>(funny(mary)))&
(![X]:((kind(X)|~quiet(X))<=>(~brave(X)|happy(X))))&
(![X]:((~curious(X)<~>happy(X))=>(humble(X)<~>~happy(X))))&
((?[X]:((tall(X)|curious(X))))=>((~quiet(alice)<~>calm(alice))))&
(![X]:((patient(X)&~happy(X))<=>(... | ~wise(mary) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6969671257358975945271769
% SZS output start Proof for 6969671257358975945271769
1. ! [X0] : ((~old(X0) & curious(X0)) => happy(X0)) [input p0]
5. ! [X0] : ((~curious(X0) <~> happy(X0)) => (humble(X0) <~> ~happy(X0))) [input p4]
7. ! [X0] : ((~happy(X0) & patient(X0)) <=> (kind(X0) <~> hu... | 0 |
If someone is either kind or not creative then susan is both generous and not rich.
Everyone who is both not tall and funny is not tall or happy.
Everyone who is generous or not patient is both not brave and old.
Everyone who is either not funny or not brave is not brave or wise and vice versa.
Everyone who is funny is... | Lucy is not kind. | contradiction | ((?[X]:((kind(X)<~>~creative(X))))=>((generous(susan)&~rich(susan))))&
(![X]:((~tall(X)&funny(X))=>(~tall(X)|happy(X))))&
(![X]:((generous(X)|~patient(X))=>(~brave(X)&old(X))))&
(![X]:((~funny(X)<~>~brave(X))<=>(~brave(X)|wise(X))))&
(![X]:(funny(X)<=>(rich(X)|~tall(X))))&
(![X]:(wise(X)<=>~strong(X)))&
(![X]:((strong(... | ~kind(lucy) | [
"p0",
"p2",
"p4",
"p5",
"p6",
"p9",
"p10",
"p11",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3663084227950111737848228
% SZS output start Proof for 3663084227950111737848228
1. ? [X0] : (kind(X0) <~> ~creative(X0)) => (~rich(susan) & generous(susan)) [input p0]
3. ! [X0] : ((~patient(X0) | generous(X0)) => (old(X0) & ~brave(X0))) [input p2]
5. ! [X0] : (funny(X0) <=> (~tall(X0) |... | 0 |
If paul is either kind or not kind then lucy is not old and vice versa.
Everyone who is not strong or not wise is both not strong and not happy and vice versa.
Everyone who is kind is not brave or kind.
If mary is kind then someone is both not creative and strong and vice versa.
Everyone who is creative is not old and ... | Mary is not kind. | neutral | (((kind(paul)<~>~kind(paul)))<=>(~old(lucy)))&
(![X]:((~strong(X)|~wise(X))<=>(~strong(X)&~happy(X))))&
(![X]:(kind(X)=>(~brave(X)|kind(X))))&
((kind(mary))<=>(?[X]:((~creative(X)&strong(X)))))&
(![X]:(creative(X)<=>~old(X)))&
(![X]:((~patient(X)<~>old(X))=>(happy(X)<~>~rich(X))))&
(![X]:(curious(X)=>(generous(X)<~>~ol... | ~kind(mary) | [] | null | 0 |
Everyone who is either not happy or curious is not curious and vice versa.
If someone is both generous and not curious then someone is either old or generous and vice versa.
Everyone who is both strong and not curious is either funny or calm and vice versa.
If fred is not strong then someone is both brave and not patie... | Lucy is not kind. | entailment | (![X]:((~happy(X)<~>curious(X))<=>~curious(X)))&
((?[X]:((generous(X)&~curious(X))))<=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:((strong(X)&~curious(X))<=>(funny(X)<~>calm(X))))&
((~strong(fred))<=>(?[X]:((brave(X)&~patient(X)))))&
(![X]:(~strong(X)=>(~kind(X)&~patient(X))))&
(![X]:((happy(X)&~quiet(X))<=>(kind(X)<~>~ta... | ~kind(lucy) | [
"p4",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1267981369339240835872616
% SZS output start Proof for 1267981369339240835872616
5. ! [X0] : (~strong(X0) => (~patient(X0) & ~kind(X0))) [input p4]
10. ! [X0] : ((generous(X0) & wise(X0)) <=> strong(X0)) [input p9]
19. ~funny(lucy) & ~generous(lucy) [input p18]
25. kind(lucy) [input hypot... | 0 |
Everyone who is not humble or not funny is both strong and brave and vice versa.
If someone is strong or not tall then fred is either rich or not curious.
Everyone who is both funny and not patient is either kind or not creative.
If alice is both funny and not generous then lucy is brave.
Everyone who is either humble ... | Lucy is not funny. | contradiction | (![X]:((~humble(X)|~funny(X))<=>(strong(X)&brave(X))))&
((?[X]:((strong(X)|~tall(X))))=>((rich(fred)<~>~curious(fred))))&
(![X]:((funny(X)&~patient(X))=>(kind(X)<~>~creative(X))))&
(((funny(alice)&~generous(alice)))=>(brave(lucy)))&
(![X]:((humble(X)<~>~old(X))<=>(wise(X)&~strong(X))))&
(![X]:((~calm(X)|~rich(X))<=>~ol... | ~funny(lucy) | [
"p0",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1324820732314490215608563
% SZS output start Proof for 1324820732314490215608563
1. ! [X0] : ((~funny(X0) | ~humble(X0)) <=> (brave(X0) & strong(X0))) [input p0]
20. brave(lucy) & ~strong(lucy) [input p19]
25. ~funny(lucy) [input hypothesis]
43. ! [X0] : (((~funny(X0) | ~humble(X0)) | (~b... | 0 |
Everyone who is either not rich or not humble is either not tall or creative.
Everyone who is both not brave and not rich is not humble and vice versa.
If someone is either kind or not calm then susan is either not patient or not quiet.
If john is either not old or strong then someone is quiet.
Everyone who is either n... | Lucy is not rich. | contradiction | (![X]:((~rich(X)<~>~humble(X))=>(~tall(X)<~>creative(X))))&
(![X]:((~brave(X)&~rich(X))<=>~humble(X)))&
((?[X]:((kind(X)<~>~calm(X))))=>((~patient(susan)<~>~quiet(susan))))&
(((~old(john)<~>strong(john)))=>(?[X]:(quiet(X))))&
(![X]:((~generous(X)<~>~rich(X))=>(quiet(X)&curious(X))))&
(![X]:((~creative(X)<~>~patient(X))... | ~rich(lucy) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9209819232533316028467829
% SZS output start Proof for 9209819232533316028467829
10. ! [X0] : ((~kind(X0) | rich(X0)) => (kind(X0) & funny(X0))) [input p9]
15. ! [X0] : ((wise(X0) & ~kind(X0)) <=> ~rich(X0)) [input p14]
23. ~rich(lucy) [input hypothesis]
30. ! [X0] : ((kind(X0) & funny(X0... | 0 |
If fred is not strong or patient then fred is either not brave or not funny. If mary is both not calm and not humble then someone is either not curious or happy and vice versa. If john is brave or generous then mary is funny. Everyone who is not rich or calm is rich or creative. If someone is not brave or not old then ... | John is humble. | neutral | (((~strong(fred)|patient(fred)))=>((~brave(fred)<~>~funny(fred))))&
(((~calm(mary)&~humble(mary)))<=>(?[X]:((~curious(X)<~>happy(X)))))&
(((brave(john)|generous(john)))=>(funny(mary)))&
(![X]:((~rich(X)|calm(X))=>(rich(X)|creative(X))))&
((?[X]:((~brave(X)|~old(X))))<=>(?[X]:(wise(X))))&
(![X]:((tall(X)<~>~humble(X))<=... | humble(john) | [] | null | 0 |
If mary is both calm and curious then someone is either creative or not brave.
If fred is both not curious and not funny then mary is both funny and not funny and vice versa.
Everyone who is either not tall or funny is not tall or old and vice versa.
Everyone who is funny or not tall is not kind.
If someone is both not... | John is kind. | contradiction | (((calm(mary)&curious(mary)))=>(?[X]:((creative(X)<~>~brave(X)))))&
(((~curious(fred)&~funny(fred)))<=>((funny(mary)&~funny(mary))))&
(![X]:((~tall(X)<~>funny(X))<=>(~tall(X)|old(X))))&
(![X]:((funny(X)|~tall(X))=>~kind(X)))&
((?[X]:((~kind(X)&~brave(X))))<=>(?[X]:((tall(X)|wise(X)))))&
(![X]:((~kind(X)&quiet(X))<=>(~g... | kind(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6980304607253365921116395
% SZS output start Proof for 6980304607253365921116395
6. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> (kind(X0) | ~generous(X0))) [input p5]
25. kind(john) [input hypothesis]
50. ! [X0] : (((quiet(X0) & ~kind(X0)) | (~kind(X0) & generous(X0))) & ((kind(X0) | ~generous(... | 0 |
If alice is both humble and not tall then someone is funny or not rich and vice versa.
If someone is not quiet or not creative then someone is either strong or not generous and vice versa.
If someone is both old and not brave then susan is funny and vice versa.
If someone is tall then someone is not generous and vice v... | Alice is old. | contradiction | (((humble(alice)&~tall(alice)))<=>(?[X]:((funny(X)|~rich(X)))))&
((?[X]:((~quiet(X)|~creative(X))))<=>(?[X]:((strong(X)<~>~generous(X)))))&
((?[X]:((old(X)&~brave(X))))<=>(funny(susan)))&
((?[X]:(tall(X)))<=>(?[X]:(~generous(X))))&
(![X]:((rich(X)&curious(X))=>(~rich(X)&brave(X))))&
(![X]:(strong(X)<=>(tall(X)&funny(X)... | old(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8200697224589843069782730
% SZS output start Proof for 8200697224589843069782730
15. ! [X0] : ((~old(X0) & ~funny(X0)) <=> (old(X0) | ~old(X0))) [input p14]
23. old(alice) [input hypothesis]
76. ! [X0] : (((~old(X0) & ~funny(X0)) | (~old(X0) & old(X0))) & ((old(X0) | ~old(X0)) | (old(X0) ... | 0 |
Everyone who is not old is both not calm and calm.
If someone is either not wise or not humble then someone is either not old or strong.
If someone is not tall then mary is not rich and vice versa.
Everyone who is tall is both calm and not brave.
If someone is wise then john is not funny and vice versa.
If someone is n... | Mary is rich. | contradiction | (![X]:(~old(X)=>(~calm(X)&calm(X))))&
((?[X]:((~wise(X)<~>~humble(X))))=>(?[X]:((~old(X)<~>strong(X)))))&
((?[X]:(~tall(X)))<=>(~rich(mary)))&
(![X]:(tall(X)=>(calm(X)&~brave(X))))&
((?[X]:(wise(X)))<=>(~funny(john)))&
((?[X]:((~curious(X)|brave(X))))<=>((~old(lucy)&curious(lucy))))&
(![X]:((wise(X)<~>brave(X))=>(~gene... | rich(mary) | [
"p0",
"p2",
"p3",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6271919128450693416934931
% SZS output start Proof for 6271919128450693416934931
1. ! [X0] : (~old(X0) => (calm(X0) & ~calm(X0))) [input p0]
3. ? [X0] : ~tall(X0) <=> ~rich(mary) [input p2]
4. ! [X0] : (tall(X0) => (~brave(X0) & calm(X0))) [input p3]
6. ? [X0] : (brave(X0) | ~curious(X0))... | 0 |
If fred is both humble and not brave then mary is both kind and wise and vice versa. If someone is funny or not tall then someone is either strong or patient. Everyone who is either calm or wise is generous or not calm. Everyone who is both kind and humble is creative or calm. If susan is not tall or brave then mary is... | Mary is humble. | neutral | (((humble(fred)&~brave(fred)))<=>((kind(mary)&wise(mary))))&
((?[X]:((funny(X)|~tall(X))))=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((calm(X)<~>wise(X))=>(generous(X)|~calm(X))))&
(![X]:((kind(X)&humble(X))=>(creative(X)|calm(X))))&
(((~tall(susan)|brave(susan)))=>((~curious(mary)&calm(mary))))&
(![X]:((~kind(X)|stro... | humble(mary) | [] | null | 0 |
Everyone who is not funny is either not kind or patient and vice versa.
Everyone who is both generous and not generous is both humble and patient and vice versa.
Everyone who is either not kind or not humble is either not creative or not kind.
If susan is strong or funny then mary is both not tall and calm.
Everyone wh... | Mary is not humble. | entailment | (![X]:(~funny(X)<=>(~kind(X)<~>patient(X))))&
(![X]:((generous(X)&~generous(X))<=>(humble(X)&patient(X))))&
(![X]:((~kind(X)<~>~humble(X))=>(~creative(X)<~>~kind(X))))&
(((strong(susan)|funny(susan)))=>((~tall(mary)&calm(mary))))&
(![X]:((generous(X)&funny(X))<=>(~happy(X)|humble(X))))&
((?[X]:((creative(X)&~generous(X... | ~humble(mary) | [
"p0",
"p1",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 487333439452026093383685
% SZS output start Proof for 487333439452026093383685
1. ! [X0] : (~funny(X0) <=> (~kind(X0) <~> patient(X0))) [input p0]
2. ! [X0] : ((~generous(X0) & generous(X0)) <=> (patient(X0) & humble(X0))) [input p1]
5. ! [X0] : ((funny(X0) & generous(X0)) <=> (humble(X0)... | 0 |
Everyone who is old or not calm is either calm or funny and vice versa.
If someone is both funny and not creative then fred is strong or creative.
Everyone who is both strong and creative is either not kind or not happy.
Everyone who is brave or not generous is both not calm and kind.
Everyone who is not brave or not r... | Fred is not kind. | contradiction | (![X]:((old(X)|~calm(X))<=>(calm(X)<~>funny(X))))&
((?[X]:((funny(X)&~creative(X))))=>((strong(fred)|creative(fred))))&
(![X]:((strong(X)&creative(X))=>(~kind(X)<~>~happy(X))))&
(![X]:((brave(X)|~generous(X))=>(~calm(X)&kind(X))))&
(![X]:((~brave(X)|~rich(X))<=>(funny(X)&patient(X))))&
(![X]:((old(X)<~>~brave(X))<=>(cu... | ~kind(fred) | [
"p0",
"p3",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4573257645214578537326835
% SZS output start Proof for 4573257645214578537326835
1. ! [X0] : ((~calm(X0) | old(X0)) <=> (calm(X0) <~> funny(X0))) [input p0]
4. ! [X0] : ((~generous(X0) | brave(X0)) => (kind(X0) & ~calm(X0))) [input p3]
5. ! [X0] : ((~rich(X0) | ~brave(X0)) <=> (patient(X0... | 0 |
Everyone who is not calm or kind is either generous or not generous.
Everyone who is not brave or kind is both quiet and not funny.
If someone is both happy and not brave then mary is either not wise or not rich.
If someone is kind then someone is strong or not brave and vice versa.
Everyone who is not tall or happy is... | Alice is not kind. | contradiction | (![X]:((~calm(X)|kind(X))=>(generous(X)<~>~generous(X))))&
(![X]:((~brave(X)|kind(X))=>(quiet(X)&~funny(X))))&
((?[X]:((happy(X)&~brave(X))))=>((~wise(mary)<~>~rich(mary))))&
((?[X]:(kind(X)))<=>(?[X]:((strong(X)|~brave(X)))))&
(![X]:((~tall(X)|happy(X))<=>(~humble(X)|quiet(X))))&
(((~brave(paul)&~tall(paul)))<=>(?[X]:... | ~kind(alice) | [
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2152732393599538400831244
% SZS output start Proof for 2152732393599538400831244
10. ! [X0] : (~old(X0) <=> (~strong(X0) | ~calm(X0))) [input p9]
15. ! [X0] : ((patient(X0) | ~kind(X0)) <=> old(X0)) [input p14]
18. ~strong(alice) [input p17]
25. ~kind(alice) [input hypothesis]
55. ! [X0] ... | 0 |
If someone is not happy then someone is humble. If someone is either tall or brave then someone is both not humble and not tall. If john is not rich then lucy is both not brave and creative and vice versa. Everyone who is not creative or funny is old or not funny and vice versa. If someone is not wise or not rich then ... | Susan is patient. | neutral | ((?[X]:(~happy(X)))=>(?[X]:(humble(X))))&
((?[X]:((tall(X)<~>brave(X))))=>(?[X]:((~humble(X)&~tall(X)))))&
((~rich(john))<=>((~brave(lucy)&creative(lucy))))&
(![X]:((~creative(X)|funny(X))<=>(old(X)|~funny(X))))&
((?[X]:((~wise(X)|~rich(X))))<=>((~brave(susan)&~humble(susan))))&
(![X]:(~old(X)<=>patient(X)))&
(![X]:((~... | patient(susan) | [] | null | 0 |
Everyone who is either not calm or not quiet is both wise and funny and vice versa.
Everyone who is either not humble or strong is curious.
Everyone who is either not quiet or not funny is both tall and not calm.
If someone is not creative or not brave then alice is both not wise and not patient and vice versa.
Everyon... | John is not kind. | neutral | (![X]:((~calm(X)<~>~quiet(X))<=>(wise(X)&funny(X))))&
(![X]:((~humble(X)<~>strong(X))=>curious(X)))&
(![X]:((~quiet(X)<~>~funny(X))=>(tall(X)&~calm(X))))&
((?[X]:((~creative(X)|~brave(X))))<=>((~wise(alice)&~patient(alice))))&
(![X]:(~kind(X)=>(happy(X)|~kind(X))))&
(![X]:(~calm(X)<=>(old(X)&~humble(X))))&
(![X]:((~tal... | ~kind(john) | [] | null | 0 |
Everyone who is quiet or not strong is both kind and not funny and vice versa.
Everyone who is either patient or rich is not happy or kind.
Everyone who is either not rich or happy is either brave or not patient and vice versa.
Everyone who is both not wise and not brave is happy and vice versa.
Everyone who is both no... | Fred is calm. | entailment | (![X]:((quiet(X)|~strong(X))<=>(kind(X)&~funny(X))))&
(![X]:((patient(X)<~>rich(X))=>(~happy(X)|kind(X))))&
(![X]:((~rich(X)<~>happy(X))<=>(brave(X)<~>~patient(X))))&
(![X]:((~wise(X)&~brave(X))<=>happy(X)))&
(![X]:((~kind(X)&rich(X))=>humble(X)))&
(![X]:(generous(X)=>wise(X)))&
(![X]:((quiet(X)&humble(X))<=>(quiet(X)|... | calm(fred) | [
"p0",
"p5",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 116679426599071236688289
% SZS output start Proof for 116679426599071236688289
1. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (~funny(X0) & kind(X0))) [input p0]
6. ! [X0] : (generous(X0) => wise(X0)) [input p5]
7. ! [X0] : ((humble(X0) & quiet(X0)) <=> (strong(X0) | quiet(X0))) [input p6]
8.... | 0 |
Everyone who is brave is either happy or not brave.
Everyone who is either brave or not happy is not old and vice versa.
If someone is not happy or creative then susan is both humble and not patient and vice versa.
If alice is not tall then paul is not patient or tall and vice versa.
Everyone who is not calm or not str... | Mary is generous. | contradiction | (![X]:(brave(X)=>(happy(X)<~>~brave(X))))&
(![X]:((brave(X)<~>~happy(X))<=>~old(X)))&
((?[X]:((~happy(X)|creative(X))))<=>((humble(susan)&~patient(susan))))&
((~tall(alice))<=>((~patient(paul)|tall(paul))))&
(![X]:((~calm(X)|~strong(X))=>(old(X)&tall(X))))&
((?[X]:((strong(X)&~happy(X))))=>(?[X]:((~old(X)|~patient(X)))... | generous(mary) | [
"p0",
"p1",
"p4",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 648000836351429728499246
% SZS output start Proof for 648000836351429728499246
1. ! [X0] : (brave(X0) => (happy(X0) <~> ~brave(X0))) [input p0]
2. ! [X0] : ((brave(X0) <~> ~happy(X0)) <=> ~old(X0)) [input p1]
5. ! [X0] : ((~strong(X0) | ~calm(X0)) => (tall(X0) & old(X0))) [input p4]
13. !... | 0 |
Everyone who is kind is either quiet or not humble. If someone is creative or not quiet then mary is either not tall or not humble. If lucy is not brave or happy then someone is not tall or not happy and vice versa. Everyone who is either funny or rich is both not wise and old and vice versa. Everyone who is tall is ei... | Fred is kind. | neutral | (![X]:(kind(X)=>(quiet(X)<~>~humble(X))))&
((?[X]:((creative(X)|~quiet(X))))=>((~tall(mary)<~>~humble(mary))))&
(((~brave(lucy)|happy(lucy)))<=>(?[X]:((~tall(X)|~happy(X)))))&
(![X]:((funny(X)<~>rich(X))<=>(~wise(X)&old(X))))&
(![X]:(tall(X)=>(~generous(X)<~>~quiet(X))))&
(![X]:((brave(X)<~>generous(X))=>(~old(X)<~>~pa... | kind(fred) | [] | null | 0 |
Everyone who is quiet or not kind is both not tall and not generous and vice versa. Everyone who is wise is tall. If paul is not rich then susan is both not humble and creative and vice versa. Everyone who is not strong or not humble is both not patient and humble and vice versa. If paul is both calm and not patient th... | Paul is not patient. | neutral | (![X]:((quiet(X)|~kind(X))<=>(~tall(X)&~generous(X))))&
(![X]:(wise(X)=>tall(X)))&
((~rich(paul))<=>((~humble(susan)&creative(susan))))&
(![X]:((~strong(X)|~humble(X))<=>(~patient(X)&humble(X))))&
(((calm(paul)&~patient(paul)))=>(?[X]:((strong(X)&tall(X)))))&
(![X]:((quiet(X)|~strong(X))=>(tall(X)&calm(X))))&
(((~rich(... | ~patient(paul) | [] | null | 0 |
If someone is both calm and not kind then someone is either rich or not brave and vice versa.
Everyone who is not wise or not quiet is generous or wise.
If paul is kind or rich then fred is both brave and tall and vice versa.
If someone is both not calm and humble then someone is either not strong or brave and vice ver... | Mary is curious. | neutral | ((?[X]:((calm(X)&~kind(X))))<=>(?[X]:((rich(X)<~>~brave(X)))))&
(![X]:((~wise(X)|~quiet(X))=>(generous(X)|wise(X))))&
(((kind(paul)|rich(paul)))<=>((brave(fred)&tall(fred))))&
((?[X]:((~calm(X)&humble(X))))<=>(?[X]:((~strong(X)<~>brave(X)))))&
(![X]:((~kind(X)<~>calm(X))<=>(~creative(X)|wise(X))))&
(![X]:((curious(X)|g... | curious(mary) | [] | null | 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... | Lucy is calm. | contradiction | (![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))))&
(![... | calm(lucy) | [
"p1",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6533154519699676500885908
% SZS output start Proof for 6533154519699676500885908
2. ? [X0] : (~creative(X0) <~> creative(X0)) => ~calm(lucy) [input p1]
10. ! [X0] : (~strong(X0) <=> (~generous(X0) | creative(X0))) [input p9]
12. ! [X0] : ((~old(X0) & strong(X0)) <=> (~generous(X0) | ~happ... | 0 |
Everyone who is either not generous or not quiet is both funny and tall.
If someone is happy then mary is not generous or funny.
If someone is funny then mary is either brave or not curious.
Everyone who is not old is not patient.
If someone is both not quiet and quiet then mary is happy.
If someone is either not brave... | John is old. | entailment | (![X]:((~generous(X)<~>~quiet(X))=>(funny(X)&tall(X))))&
((?[X]:(happy(X)))=>((~generous(mary)|funny(mary))))&
((?[X]:(funny(X)))=>((brave(mary)<~>~curious(mary))))&
(![X]:(~old(X)=>~patient(X)))&
((?[X]:((~quiet(X)&quiet(X))))=>(happy(mary)))&
((?[X]:((~brave(X)<~>~curious(X))))<=>((~funny(fred)&strong(fred))))&
((?[X... | old(john) | [
"p3",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2618127463431769417192400
% SZS output start Proof for 2618127463431769417192400
4. ! [X0] : (~old(X0) => ~patient(X0)) [input p3]
9. ? [X0] : creative(X0) <=> ? [X0] : (~tall(X0) <~> happy(X0)) [input p8]
10. ! [X0] : (~wise(X0) => ~strong(X0)) [input p9]
11. ! [X0] : (~strong(X0) <=> (p... | 0 |
Everyone who is both not tall and patient is tall.
Everyone who is either patient or happy is either happy or wise.
Everyone who is either patient or humble is not funny or quiet and vice versa.
If susan is either not quiet or calm then someone is not kind and vice versa.
If someone is kind then mary is not calm and vi... | Paul is humble. | entailment | (![X]:((~tall(X)&patient(X))=>tall(X)))&
(![X]:((patient(X)<~>happy(X))=>(happy(X)<~>wise(X))))&
(![X]:((patient(X)<~>humble(X))<=>(~funny(X)|quiet(X))))&
(((~quiet(susan)<~>calm(susan)))<=>(?[X]:(~kind(X))))&
((?[X]:(kind(X)))<=>(~calm(mary)))&
(![X]:(funny(X)<=>(curious(X)|~curious(X))))&
((?[X]:((~wise(X)|~creative(... | humble(paul) | [
"p2",
"p5",
"p9",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5325958156358616678602195
% SZS output start Proof for 5325958156358616678602195
3. ! [X0] : ((patient(X0) <~> humble(X0)) <=> (quiet(X0) | ~funny(X0))) [input p2]
6. ! [X0] : (funny(X0) <=> (~curious(X0) | curious(X0))) [input p5]
10. ! [X0] : ((~old(X0) | creative(X0)) <=> (~patient(X0)... | 0 |
If john is curious then paul is rich or not strong and vice versa.
If someone is not brave then someone is either not humble or happy.
Everyone who is happy is wise and vice versa.
Everyone who is either not creative or old is both not rich and tall.
Everyone who is not kind is quiet or not old and vice versa.
If susan... | John is rich. | entailment | ((curious(john))<=>((rich(paul)|~strong(paul))))&
((?[X]:(~brave(X)))=>(?[X]:((~humble(X)<~>happy(X)))))&
(![X]:(happy(X)<=>wise(X)))&
(![X]:((~creative(X)<~>old(X))=>(~rich(X)&tall(X))))&
(![X]:(~kind(X)<=>(quiet(X)|~old(X))))&
(((~patient(susan)&~creative(susan)))<=>(old(john)))&
(![X]:((~wise(X)&wise(X))<=>(~funny(X... | rich(john) | [
"p4",
"p6",
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6315079331080116709908772
% SZS output start Proof for 6315079331080116709908772
5. ! [X0] : (~kind(X0) <=> (~old(X0) | quiet(X0))) [input p4]
7. ! [X0] : ((wise(X0) & ~wise(X0)) <=> (generous(X0) & ~funny(X0))) [input p6]
8. ~old(susan) <=> ? [X0] : (happy(X0) <~> ~happy(X0)) [input p7]
... | 0 |
If john is both not wise and not humble then alice is patient.
If someone is both funny and not creative then mary is either tall or happy.
If john is not wise or generous then susan is either not generous or rich and vice versa.
Everyone who is not generous or not strong is both not rich and kind.
Everyone who is not ... | Mary is funny. | contradiction | (((~wise(john)&~humble(john)))=>(patient(alice)))&
((?[X]:((funny(X)&~creative(X))))=>((tall(mary)<~>happy(mary))))&
(((~wise(john)|generous(john)))<=>((~generous(susan)<~>rich(susan))))&
(![X]:((~generous(X)|~strong(X))=>(~rich(X)&kind(X))))&
(![X]:(~funny(X)<=>(funny(X)|~strong(X))))&
(![X]:((patient(X)&creative(X))<... | funny(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2433335705181870790184550
% SZS output start Proof for 2433335705181870790184550
5. ! [X0] : (~funny(X0) <=> (~strong(X0) | funny(X0))) [input p4]
23. funny(mary) [input hypothesis]
40. ! [X0] : ((~funny(X0) | (strong(X0) & ~funny(X0))) & ((~strong(X0) | funny(X0)) | funny(X0))) [nnf tran... | 0 |
If someone is both not happy and wise then mary is tall or not humble and vice versa.
Everyone who is both quiet and not calm is both quiet and kind and vice versa.
If paul is either not wise or not quiet then mary is both not strong and not old.
If susan is both patient and generous then lucy is either quiet or not pa... | John is not calm. | entailment | ((?[X]:((~happy(X)&wise(X))))<=>((tall(mary)|~humble(mary))))&
(![X]:((quiet(X)&~calm(X))<=>(quiet(X)&kind(X))))&
(((~wise(paul)<~>~quiet(paul)))=>((~strong(mary)&~old(mary))))&
(((patient(susan)&generous(susan)))=>((quiet(lucy)<~>~patient(lucy))))&
((?[X]:(~strong(X)))=>(?[X]:((~creative(X)|creative(X)))))&
(![X]:((ki... | ~calm(john) | [
"p1",
"p6",
"p8",
"p9",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3230603539136960242723454
% SZS output start Proof for 3230603539136960242723454
2. ! [X0] : ((~calm(X0) & quiet(X0)) <=> (kind(X0) & quiet(X0))) [input p1]
7. ! [X0] : ((quiet(X0) & ~tall(X0)) <=> (generous(X0) & kind(X0))) [input p6]
9. ! [X0] : ((~generous(X0) <~> ~rich(X0)) <=> (~gene... | 0 |
If paul is patient or not calm then fred is either not brave or not rich. Everyone who is not wise is both creative and not humble. Everyone who is either brave or not tall is both curious and not generous and vice versa. Everyone who is not happy is calm or generous. Everyone who is either not creative or not old is f... | Paul is not generous. | neutral | (((patient(paul)|~calm(paul)))=>((~brave(fred)<~>~rich(fred))))&
(![X]:(~wise(X)=>(creative(X)&~humble(X))))&
(![X]:((brave(X)<~>~tall(X))<=>(curious(X)&~generous(X))))&
(![X]:(~happy(X)=>(calm(X)|generous(X))))&
(![X]:((~creative(X)<~>~old(X))<=>funny(X)))&
(![X]:((brave(X)|~funny(X))=>(happy(X)&humble(X))))&
(![X]:((... | ~generous(paul) | [] | null | 0 |
Everyone who is either calm or not rich is both kind and not quiet. If mary is curious or rich then susan is not wise and vice versa. If someone is not wise or not calm then alice is not wise. Everyone who is either not brave or not funny is creative. Everyone who is both not generous and funny is kind or not rich. Eve... | Susan is not wise. | neutral | (![X]:((calm(X)<~>~rich(X))=>(kind(X)&~quiet(X))))&
(((curious(mary)|rich(mary)))<=>(~wise(susan)))&
((?[X]:((~wise(X)|~calm(X))))=>(~wise(alice)))&
(![X]:((~brave(X)<~>~funny(X))=>creative(X)))&
(![X]:((~generous(X)&funny(X))=>(kind(X)|~rich(X))))&
(![X]:((~wise(X)|happy(X))<=>(kind(X)&~creative(X))))&
(![X]:((~strong... | ~wise(susan) | [] | null | 0 |
If susan is either brave or not funny then paul is either calm or not kind and vice versa.
If someone is both tall and not patient then john is not strong.
If mary is not humble then someone is both brave and not patient and vice versa.
Everyone who is not calm or not humble is both old and funny.
If someone is humble ... | Susan is not calm. | neutral | (((brave(susan)<~>~funny(susan)))<=>((calm(paul)<~>~kind(paul))))&
((?[X]:((tall(X)&~patient(X))))=>(~strong(john)))&
((~humble(mary))<=>(?[X]:((brave(X)&~patient(X)))))&
(![X]:((~calm(X)|~humble(X))=>(old(X)&funny(X))))&
((?[X]:((humble(X)|wise(X))))=>(?[X]:((tall(X)&creative(X)))))&
(((patient(susan)|~curious(susan))... | ~calm(susan) | [] | null | 0 |
Everyone who is either humble or not old is both old and curious.
If someone is humble or rich then mary is wise and vice versa.
Everyone who is either not kind or happy is brave.
Everyone who is calm is brave or not strong and vice versa.
If john is both happy and funny then someone is strong or not generous and vice ... | Lucy is old. | entailment | (![X]:((humble(X)<~>~old(X))=>(old(X)&curious(X))))&
((?[X]:((humble(X)|rich(X))))<=>(wise(mary)))&
(![X]:((~kind(X)<~>happy(X))=>brave(X)))&
(![X]:(calm(X)<=>(brave(X)|~strong(X))))&
(((happy(john)&funny(john)))<=>(?[X]:((strong(X)|~generous(X)))))&
(![X]:((~strong(X)|kind(X))<=>(old(X)&happy(X))))&
(![X]:((~humble(X)... | old(lucy) | [
"p4",
"p5",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3219281483612496493109101
% SZS output start Proof for 3219281483612496493109101
5. (funny(john) & happy(john)) <=> ? [X0] : (~generous(X0) | strong(X0)) [input p4]
6. ! [X0] : ((kind(X0) | ~strong(X0)) <=> (happy(X0) & old(X0))) [input p5]
7. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> funn... | 0 |
If mary is either not generous or not funny then someone is either old or wise and vice versa.
Everyone who is not strong or not curious is not rich or humble.
Everyone who is kind or creative is both generous and humble.
Everyone who is either not quiet or not happy is either generous or not patient.
Everyone who is b... | Susan is not tall. | entailment | (((~generous(mary)<~>~funny(mary)))<=>(?[X]:((old(X)<~>wise(X)))))&
(![X]:((~strong(X)|~curious(X))=>(~rich(X)|humble(X))))&
(![X]:((kind(X)|creative(X))=>(generous(X)&humble(X))))&
(![X]:((~quiet(X)<~>~happy(X))=>(generous(X)<~>~patient(X))))&
(![X]:(brave(X)<=>(~quiet(X)<~>~patient(X))))&
(![X]:((~patient(X)&quiet(X)... | ~tall(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6763647406912348920324229
% SZS output start Proof for 6763647406912348920324229
8. ! [X0] : ((creative(X0) | tall(X0)) <=> (~tall(X0) & old(X0))) [input p7]
25. tall(susan) [input hypothesis]
50. ! [X0] : (((creative(X0) | tall(X0)) | (tall(X0) | ~old(X0))) & ((~tall(X0) & old(X0)) | (~c... | 0 |
Everyone who is both rich and not rich is curious or not generous and vice versa. If mary is not curious then john is either patient or not patient. Everyone who is both not creative and not old is both not wise and not kind. If someone is both not curious and not calm then someone is either humble or not quiet and vic... | Mary is generous. | entailment | (![X]:((rich(X)&~rich(X))<=>(curious(X)|~generous(X))))&
((~curious(mary))=>((patient(john)<~>~patient(john))))&
(![X]:((~creative(X)&~old(X))=>(~wise(X)&~kind(X))))&
((?[X]:((~curious(X)&~calm(X))))<=>(?[X]:((humble(X)<~>~quiet(X)))))&
(![X]:(~calm(X)=>(~strong(X)&~old(X))))&
(![X]:((quiet(X)|~creative(X))=>strong(X))... | generous(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3773258507008101231642022
% SZS output start Proof for 3773258507008101231642022
1. ! [X0] : ((~rich(X0) & rich(X0)) <=> (~generous(X0) | curious(X0))) [input p0]
24. ~generous(mary) [input hypothesis]
42. ! [X0] : (((~rich(X0) & rich(X0)) | (generous(X0) & ~curious(X0))) & ((~generous(X0... | 0 |
Everyone who is either brave or tall is not patient or not wise and vice versa. Everyone who is funny or not brave is strong and vice versa. Everyone who is humble or funny is either not patient or quiet. If alice is both rich and not humble then someone is either rich or not generous and vice versa. Everyone who is no... | Fred is not happy. | neutral | (![X]:((brave(X)<~>tall(X))<=>(~patient(X)|~wise(X))))&
(![X]:((funny(X)|~brave(X))<=>strong(X)))&
(![X]:((humble(X)|funny(X))=>(~patient(X)<~>quiet(X))))&
(((rich(alice)&~humble(alice)))<=>(?[X]:((rich(X)<~>~generous(X)))))&
(![X]:((~humble(X)|quiet(X))<=>(~brave(X)<~>patient(X))))&
(![X]:((happy(X)|quiet(X))=>(quiet(... | ~happy(fred) | [] | null | 0 |
Everyone who is not old or not wise is both tall and patient.
If someone is both not wise and curious then susan is not calm or happy and vice versa.
If someone is either happy or not strong then mary is both not happy and not strong.
Everyone who is both not strong and not creative is either not wise or creative and v... | John is patient. | contradiction | (![X]:((~old(X)|~wise(X))=>(tall(X)&patient(X))))&
((?[X]:((~wise(X)&curious(X))))<=>((~calm(susan)|happy(susan))))&
((?[X]:((happy(X)<~>~strong(X))))=>((~happy(mary)&~strong(mary))))&
(![X]:((~strong(X)&~creative(X))<=>(~wise(X)<~>creative(X))))&
((?[X]:((~wise(X)|calm(X))))<=>((calm(john)|~strong(john))))&
(![X]:((~k... | patient(john) | [
"p0",
"p5",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8469479295076481482384192
% SZS output start Proof for 8469479295076481482384192
1. ! [X0] : ((~wise(X0) | ~old(X0)) => (patient(X0) & tall(X0))) [input p0]
6. ! [X0] : ((happy(X0) | ~kind(X0)) <=> ~old(X0)) [input p5]
11. ! [X0] : ((funny(X0) & ~creative(X0)) <=> patient(X0)) [input p10]... | 0 |
If someone is not creative or kind then someone is either patient or not patient and vice versa.
Everyone who is either not curious or rich is either old or not humble.
If alice is both kind and not happy then alice is wise or creative.
Everyone who is not wise is not brave and vice versa.
If someone is creative or str... | John is funny. | contradiction | ((?[X]:((~creative(X)|kind(X))))<=>(?[X]:((patient(X)<~>~patient(X)))))&
(![X]:((~curious(X)<~>rich(X))=>(old(X)<~>~humble(X))))&
(((kind(alice)&~happy(alice)))=>((wise(alice)|creative(alice))))&
(![X]:(~wise(X)<=>~brave(X)))&
((?[X]:((creative(X)|strong(X))))=>(?[X]:((strong(X)<~>creative(X)))))&
(((~brave(susan)&happ... | funny(john) | [
"p8",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8862043904547885789312920
% SZS output start Proof for 8862043904547885789312920
9. ? [X0] : rich(X0) => ~funny(john) [input p8]
10. ! [X0] : ((~rich(X0) | ~old(X0)) => (creative(X0) & ~calm(X0))) [input p9]
21. ? [X0] : calm(X0) [input p20]
25. funny(john) [input hypothesis]
36. ~funny(j... | 0 |
If lucy is either kind or not patient then someone is both happy and not kind. If someone is happy or generous then paul is strong or not strong and vice versa. If someone is either not happy or not brave then fred is generous or not calm and vice versa. If someone is not creative or happy then someone is both not rich... | Lucy is patient. | neutral | (((kind(lucy)<~>~patient(lucy)))=>(?[X]:((happy(X)&~kind(X)))))&
((?[X]:((happy(X)|generous(X))))<=>((strong(paul)|~strong(paul))))&
((?[X]:((~happy(X)<~>~brave(X))))<=>((generous(fred)|~calm(fred))))&
((?[X]:((~creative(X)|happy(X))))=>(?[X]:((~rich(X)&happy(X)))))&
(![X]:(strong(X)<=>(~calm(X)|tall(X))))&
((~humble(p... | patient(lucy) | [] | null | 0 |
If john is not rich then alice is not quiet.
Everyone who is not quiet is not generous.
Everyone who is not calm or not curious is both wise and not wise.
If mary is either not rich or curious then someone is either brave or happy.
Everyone who is either not brave or curious is both strong and kind.
Everyone who is not... | John is humble. | entailment | ((~rich(john))=>(~quiet(alice)))&
(![X]:(~quiet(X)=>~generous(X)))&
(![X]:((~calm(X)|~curious(X))=>(wise(X)&~wise(X))))&
(((~rich(mary)<~>curious(mary)))=>(?[X]:((brave(X)<~>happy(X)))))&
(![X]:((~brave(X)<~>curious(X))=>(strong(X)&kind(X))))&
(![X]:(~curious(X)<=>(quiet(X)&tall(X))))&
(((brave(john)&calm(john)))=>(?[X... | humble(john) | [
"p1",
"p2",
"p5",
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4007087311715064169590556
% SZS output start Proof for 4007087311715064169590556
2. ! [X0] : (~quiet(X0) => ~generous(X0)) [input p1]
3. ! [X0] : ((~curious(X0) | ~calm(X0)) => (~wise(X0) & wise(X0))) [input p2]
6. ! [X0] : (~curious(X0) <=> (tall(X0) & quiet(X0))) [input p5]
8. ! [X0] : ... | 0 |
Everyone who is either patient or not tall is not creative or rich.
Everyone who is wise is quiet or not curious.
Everyone who is either not wise or tall is both not patient and creative.
Everyone who is both patient and funny is both not old and not patient and vice versa.
Everyone who is not generous is kind or not w... | Susan is creative. | neutral | (![X]:((patient(X)<~>~tall(X))=>(~creative(X)|rich(X))))&
(![X]:(wise(X)=>(quiet(X)|~curious(X))))&
(![X]:((~wise(X)<~>tall(X))=>(~patient(X)&creative(X))))&
(![X]:((patient(X)&funny(X))<=>(~old(X)&~patient(X))))&
(![X]:(~generous(X)<=>(kind(X)|~wise(X))))&
((?[X]:(~happy(X)))=>(?[X]:((happy(X)<~>funny(X)))))&
(![X]:((... | creative(susan) | [] | null | 0 |
Everyone who is wise is not generous and vice versa.
If someone is either calm or humble then fred is not brave or not kind and vice versa.
If alice is both rich and happy then someone is either not patient or not tall.
Everyone who is either wise or generous is both not humble and wise.
Everyone who is not tall or fun... | Fred is rich. | neutral | (![X]:(wise(X)<=>~generous(X)))&
((?[X]:((calm(X)<~>humble(X))))<=>((~brave(fred)|~kind(fred))))&
(((rich(alice)&happy(alice)))=>(?[X]:((~patient(X)<~>~tall(X)))))&
(![X]:((wise(X)<~>generous(X))=>(~humble(X)&wise(X))))&
(![X]:((~tall(X)|funny(X))=>(kind(X)|~happy(X))))&
((?[X]:(~creative(X)))=>(?[X]:(~quiet(X))))&
(![... | rich(fred) | [] | null | 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... | Susan is not tall. | 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)))))&
... | ~tall(susan) | [] | null | 0 |
If john is not strong or not kind then fred is either curious or 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 strong and vice versa.
Everyone who is either not generous or kind is both creative ... | John is not generous. | neutral | (((~strong(john)|~kind(john)))<=>((curious(fred)<~>~kind(fred))))&
(![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))<=>calm(X)))&
(![X]:(patient(X)<=>rich(X)))&
(![X]:((h... | ~generous(john) | [] | null | 0 |
If someone is not old then someone is either curious or rich.
If lucy is either not brave or wise then lucy is either curious or not curious and vice versa.
If fred is not kind then someone is happy or not creative and vice versa.
If lucy is both funny and strong then fred is both not happy and not generous and vice ve... | Paul is not strong. | neutral | ((?[X]:(~old(X)))=>(?[X]:((curious(X)<~>rich(X)))))&
(((~brave(lucy)<~>wise(lucy)))<=>((curious(lucy)<~>~curious(lucy))))&
((~kind(fred))<=>(?[X]:((happy(X)|~creative(X)))))&
(((funny(lucy)&strong(lucy)))<=>((~happy(fred)&~generous(fred))))&
(![X]:((~curious(X)|humble(X))<=>(~curious(X)|old(X))))&
(![X]:(~generous(X)<=... | ~strong(paul) | [] | null | 0 |
Everyone who is not funny is not wise and vice versa.
If someone is tall then john is both not wise and strong and vice versa.
If mary is both generous and not humble then someone is not curious or patient and vice versa.
Everyone who is either humble or not generous is not kind and vice versa.
Everyone who is either n... | Alice is not curious. | contradiction | (![X]:(~funny(X)<=>~wise(X)))&
((?[X]:(tall(X)))<=>((~wise(john)&strong(john))))&
(((generous(mary)&~humble(mary)))<=>(?[X]:((~curious(X)|patient(X)))))&
(![X]:((humble(X)<~>~generous(X))<=>~kind(X)))&
(![X]:((~old(X)<~>strong(X))<=>(rich(X)<~>~generous(X))))&
(![X]:((~rich(X)|brave(X))<=>(~wise(X)&humble(X))))&
(![X]:... | ~curious(alice) | [
"p2",
"p6",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 65890508973222430111284
% SZS output start Proof for 65890508973222430111284
3. (~humble(mary) & generous(mary)) <=> ? [X0] : (patient(X0) | ~curious(X0)) [input p2]
7. ! [X0] : ((humble(X0) & ~wise(X0)) => (generous(X0) & ~tall(X0))) [input p6]
12. (~quiet(mary) | ~humble(mary)) <=> (hum... | 0 |
If someone is not patient or tall then fred is curious or not curious and vice versa.
If lucy is both wise and curious then paul is either funny or tall and vice versa.
If paul is not tall or not kind then mary is tall.
Everyone who is either not calm or not old is both not humble and humble and vice versa.
Everyone wh... | Mary is not generous. | contradiction | ((?[X]:((~patient(X)|tall(X))))<=>((curious(fred)|~curious(fred))))&
(((wise(lucy)&curious(lucy)))<=>((funny(paul)<~>tall(paul))))&
(((~tall(paul)|~kind(paul)))=>(tall(mary)))&
(![X]:((~calm(X)<~>~old(X))<=>(~humble(X)&humble(X))))&
(![X]:(funny(X)<=>(humble(X)&patient(X))))&
(((~quiet(alice)|~happy(alice)))<=>((~funny... | ~generous(mary) | [
"p4",
"p6",
"p9",
"p11",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1999024408874358600140878
% SZS output start Proof for 1999024408874358600140878
5. ! [X0] : (funny(X0) <=> (patient(X0) & humble(X0))) [input p4]
7. ! [X0] : (~old(X0) => old(X0)) [input p6]
10. ! [X0] : ((~kind(X0) <~> ~patient(X0)) => (~happy(X0) & happy(X0))) [input p9]
12. ! [X0] : (... | 0 |
If someone is either not rich or tall then someone is either creative or patient.
If susan is both curious and not funny then someone is not patient.
If someone is quiet or not rich then fred is not funny.
Everyone who is not curious is both quiet and not old.
If lucy is curious or not curious then mary is not curious ... | Fred is patient. | neutral | ((?[X]:((~rich(X)<~>tall(X))))=>(?[X]:((creative(X)<~>patient(X)))))&
(((curious(susan)&~funny(susan)))=>(?[X]:(~patient(X))))&
((?[X]:((quiet(X)|~rich(X))))=>(~funny(fred)))&
(![X]:(~curious(X)=>(quiet(X)&~old(X))))&
(((curious(lucy)|~curious(lucy)))<=>(~curious(mary)))&
(((~generous(fred)&~curious(fred)))=>(?[X]:((cu... | patient(fred) | [] | null | 0 |
If someone is tall or strong then paul is either not creative or kind and vice versa.
Everyone who is tall is both happy and patient.
Everyone who is not funny is either not happy or not humble.
Everyone who is not happy is both generous and happy and vice versa.
Everyone who is kind or curious is not rich or old.
Ever... | Lucy is generous. | contradiction | ((?[X]:((tall(X)|strong(X))))<=>((~creative(paul)<~>kind(paul))))&
(![X]:(tall(X)=>(happy(X)&patient(X))))&
(![X]:(~funny(X)=>(~happy(X)<~>~humble(X))))&
(![X]:(~happy(X)<=>(generous(X)&happy(X))))&
(![X]:((kind(X)|curious(X))=>(~rich(X)|old(X))))&
(![X]:((creative(X)|~rich(X))<=>(humble(X)&funny(X))))&
((?[X]:((~quiet... | generous(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7835514646328528340385446
% SZS output start Proof for 7835514646328528340385446
4. ! [X0] : (~happy(X0) <=> (happy(X0) & generous(X0))) [input p3]
25. generous(lucy) [input hypothesis]
39. ! [X0] : ((~happy(X0) | (~happy(X0) | ~generous(X0))) & ((happy(X0) & generous(X0)) | happy(X0))) [... | 0 |
If john is humble or funny then someone is patient and vice versa.
If fred is funny or not old then someone is old and vice versa.
Everyone who is not calm is happy or not humble.
Everyone who is either rich or not tall is not funny and vice versa.
Everyone who is either not rich or old is not calm or not happy and vic... | Mary is not brave. | contradiction | (((humble(john)|funny(john)))<=>(?[X]:(patient(X))))&
(((funny(fred)|~old(fred)))<=>(?[X]:(old(X))))&
(![X]:(~calm(X)=>(happy(X)|~humble(X))))&
(![X]:((rich(X)<~>~tall(X))<=>~funny(X)))&
(![X]:((~rich(X)<~>old(X))<=>(~calm(X)|~happy(X))))&
(![X]:((~calm(X)<~>~old(X))=>(~kind(X)&curious(X))))&
(![X]:((~generous(X)&~kind... | ~brave(mary) | [
"p7",
"p8",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9127341983566035403702295
% SZS output start Proof for 9127341983566035403702295
8. ! [X0] : ((~brave(X0) & ~strong(X0)) => (~tall(X0) <~> ~brave(X0))) [input p7]
9. ! [X0] : ((~calm(X0) & ~creative(X0)) <=> (~patient(X0) | funny(X0))) [input p8]
13. (~quiet(john) | generous(john)) => (qu... | 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... | Susan is not old. | neutral | (![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)))=... | ~old(susan) | [] | null | 0 |
If someone is old or curious then someone is both not old and creative and vice versa.
If alice is both not creative and funny then fred is happy and vice versa.
If someone is both not creative and calm then someone is not generous.
Everyone who is not humble is creative.
Everyone who is either not humble or not calm i... | Paul is not humble. | neutral | ((?[X]:((old(X)|curious(X))))<=>(?[X]:((~old(X)&creative(X)))))&
(((~creative(alice)&funny(alice)))<=>(happy(fred)))&
((?[X]:((~creative(X)&calm(X))))=>(?[X]:(~generous(X))))&
(![X]:(~humble(X)=>creative(X)))&
(![X]:((~humble(X)<~>~calm(X))<=>(calm(X)&~funny(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(wise(X))))&
(((wise(mary)... | ~humble(paul) | [] | null | 0 |
If someone is either rich or funny then paul is not generous.
Everyone who is both funny and not brave is both not calm and humble and vice versa.
If fred is rich or not generous then john is not wise or not strong.
If fred is either brave or not happy then paul is quiet.
Everyone who is either not humble or not brave ... | Mary is calm. | entailment | ((?[X]:((rich(X)<~>funny(X))))=>(~generous(paul)))&
(![X]:((funny(X)&~brave(X))<=>(~calm(X)&humble(X))))&
(((rich(fred)|~generous(fred)))=>((~wise(john)|~strong(john))))&
(((brave(fred)<~>~happy(fred)))=>(quiet(paul)))&
(![X]:((~humble(X)<~>~brave(X))<=>tall(X)))&
(![X]:((creative(X)|tall(X))=>(funny(X)|~tall(X))))&
((... | calm(mary) | [
"p1",
"p4",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 118281814348190003035087
% SZS output start Proof for 118281814348190003035087
2. ! [X0] : ((~brave(X0) & funny(X0)) <=> (humble(X0) & ~calm(X0))) [input p1]
5. ! [X0] : ((~humble(X0) <~> ~brave(X0)) <=> tall(X0)) [input p4]
6. ! [X0] : ((tall(X0) | creative(X0)) => (~tall(X0) | funny(X0)... | 0 |
Everyone who is both not kind and strong is both not funny and not happy.
Everyone who is either not patient or not rich is both not wise and calm.
If someone is both old and not tall then someone is not wise or not curious.
Everyone who is either brave or patient is humble.
If alice is not generous then lucy is strong... | Fred is not brave. | entailment | (![X]:((~kind(X)&strong(X))=>(~funny(X)&~happy(X))))&
(![X]:((~patient(X)<~>~rich(X))=>(~wise(X)&calm(X))))&
((?[X]:((old(X)&~tall(X))))=>(?[X]:((~wise(X)|~curious(X)))))&
(![X]:((brave(X)<~>patient(X))=>humble(X)))&
((~generous(alice))=>(strong(lucy)))&
(((strong(alice)<~>~wise(alice)))=>(?[X]:((~calm(X)|humble(X)))))... | ~brave(fred) | [
"p6",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8019193995466009247760631
% SZS output start Proof for 8019193995466009247760631
7. ! [X0] : ((calm(X0) | funny(X0)) => (~calm(X0) & ~brave(X0))) [input p6]
20. ~happy(fred) <~> funny(fred) [input p19]
24. ~wise(fred) & happy(fred) [input p23]
25. brave(fred) [input hypothesis]
36. ! [X0]... | 0 |
Everyone who is both patient and not patient is not happy or not humble. Everyone who is both not patient and quiet is both calm and not patient. Everyone who is either creative or not generous is not humble and vice versa. Everyone who is either strong or not funny is either wise or not creative and vice versa. Everyo... | Paul is calm. | neutral | (![X]:((patient(X)&~patient(X))=>(~happy(X)|~humble(X))))&
(![X]:((~patient(X)&quiet(X))=>(calm(X)&~patient(X))))&
(![X]:((creative(X)<~>~generous(X))<=>~humble(X)))&
(![X]:((strong(X)<~>~funny(X))<=>(wise(X)<~>~creative(X))))&
(![X]:(quiet(X)=>(~patient(X)&rich(X))))&
(((~strong(john)|tall(john)))=>(?[X]:(brave(X))))&... | calm(paul) | [] | null | 0 |
If someone is not rich or not creative then someone is quiet or not rich. Everyone who is both not strong and creative is both not funny and not happy. If someone is not quiet or creative then john is patient and vice versa. Everyone who is not rich is wise. Everyone who is either not funny or not strong is not wise. E... | Susan is not funny. | neutral | ((?[X]:((~rich(X)|~creative(X))))=>(?[X]:((quiet(X)|~rich(X)))))&
(![X]:((~strong(X)&creative(X))=>(~funny(X)&~happy(X))))&
((?[X]:((~quiet(X)|creative(X))))<=>(patient(john)))&
(![X]:(~rich(X)=>wise(X)))&
(![X]:((~funny(X)<~>~strong(X))=>~wise(X)))&
(![X]:(~quiet(X)=>(~wise(X)<~>patient(X))))&
(![X]:(~rich(X)<=>funny(... | ~funny(susan) | [] | null | 0 |
Everyone who is humble or not creative is either not creative or creative.
Everyone who is either generous or not strong is either creative or not old and vice versa.
If someone is both generous and not generous then mary is calm.
Everyone who is both funny and not strong is both not quiet and not funny and vice versa.... | Lucy is not creative. | contradiction | (![X]:((humble(X)|~creative(X))=>(~creative(X)<~>creative(X))))&
(![X]:((generous(X)<~>~strong(X))<=>(creative(X)<~>~old(X))))&
((?[X]:((generous(X)&~generous(X))))=>(calm(mary)))&
(![X]:((funny(X)&~strong(X))<=>(~quiet(X)&~funny(X))))&
(![X]:(~strong(X)=>(~brave(X)&brave(X))))&
(((~old(john)|~calm(john)))=>(?[X]:(crea... | ~creative(lucy) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1739581373973688706704730
% SZS output start Proof for 1739581373973688706704730
11. ? [X0] : (~quiet(X0) & ~creative(X0)) => ? [X0] : ~happy(X0) [input p10]
13. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> (~old(X0) | old(X0))) [input p12]
23. ~creative(lucy) [input hypothesis]
24. ? [X0] : (~... | 0 |
If susan is happy then someone is both not patient and patient.
Everyone who is not rich or not kind is not tall or tall and vice versa.
Everyone who is not humble or strong is both not happy and not curious and vice versa.
If paul is not old or funny then someone is not wise and vice versa.
Everyone who is not funny o... | Fred is rich. | neutral | ((happy(susan))=>(?[X]:((~patient(X)&patient(X)))))&
(![X]:((~rich(X)|~kind(X))<=>(~tall(X)|tall(X))))&
(![X]:((~humble(X)|strong(X))<=>(~happy(X)&~curious(X))))&
(((~old(paul)|funny(paul)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|curious(X))<=>patient(X)))&
((?[X]:((humble(X)<~>~curious(X))))<=>(?[X]:(~kind(X))))&
((?... | rich(fred) | [] | null | 0 |
Everyone who is happy or not wise is both not rich and generous and vice versa.
Everyone who is both happy and brave is quiet and vice versa.
If mary is either happy or calm then paul is rich and vice versa.
Everyone who is both old and strong is not kind or tall.
If john is calm or strong then someone is not happy and... | Mary is creative. | neutral | (![X]:((happy(X)|~wise(X))<=>(~rich(X)&generous(X))))&
(![X]:((happy(X)&brave(X))<=>quiet(X)))&
(((happy(mary)<~>calm(mary)))<=>(rich(paul)))&
(![X]:((old(X)&strong(X))=>(~kind(X)|tall(X))))&
(((calm(john)|strong(john)))<=>(?[X]:(~happy(X))))&
((?[X]:(~old(X)))=>(?[X]:((~funny(X)<~>~brave(X)))))&
(![X]:((~funny(X)<~>~c... | creative(mary) | [] | null | 0 |
Everyone who is both brave and not brave is both not kind and kind.
If someone is either calm or tall then someone is funny and vice versa.
Everyone who is not calm or quiet is both not wise and not generous.
If susan is not calm then someone is both not humble and not rich.
Everyone who is both not patient and not hum... | Fred is funny. | neutral | (![X]:((brave(X)&~brave(X))=>(~kind(X)&kind(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)|quiet(X))=>(~wise(X)&~generous(X))))&
((~calm(susan))=>(?[X]:((~humble(X)&~rich(X)))))&
(![X]:((~patient(X)&~humble(X))=>(~old(X)|curious(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brave(X)))... | funny(fred) | [] | null | 0 |
Everyone who is not wise or creative is both quiet and curious and vice versa. Everyone who is either creative or calm is both not calm and wise. If someone is either not curious or curious then someone is wise or not tall. Everyone who is brave is both not tall and not generous and vice versa. If someone is both humbl... | Lucy is creative. | neutral | (![X]:((~wise(X)|creative(X))<=>(quiet(X)&curious(X))))&
(![X]:((creative(X)<~>calm(X))=>(~calm(X)&wise(X))))&
((?[X]:((~curious(X)<~>curious(X))))=>(?[X]:((wise(X)|~tall(X)))))&
(![X]:(brave(X)<=>(~tall(X)&~generous(X))))&
((?[X]:((humble(X)&~kind(X))))=>((patient(lucy)<~>~generous(lucy))))&
((?[X]:((old(X)&~strong(X)... | creative(lucy) | [] | null | 0 |
Everyone who is old or not strong is both happy and tall and vice versa.
If lucy is not funny or old then someone is both calm and patient and vice versa.
Everyone who is not patient or tall is either not generous or humble and vice versa.
If fred is either not strong or not happy then someone is not patient.
Everyone ... | Mary is generous. | neutral | (![X]:((old(X)|~strong(X))<=>(happy(X)&tall(X))))&
(((~funny(lucy)|old(lucy)))<=>(?[X]:((calm(X)&patient(X)))))&
(![X]:((~patient(X)|tall(X))<=>(~generous(X)<~>humble(X))))&
(((~strong(fred)<~>~happy(fred)))=>(?[X]:(~patient(X))))&
(![X]:((creative(X)|happy(X))=>(~curious(X)<~>~brave(X))))&
(((~old(susan)<~>~quiet(susa... | generous(mary) | [] | null | 0 |
Everyone who is not tall or strong is not strong.
If someone is both not happy and not creative then paul is funny or tall and vice versa.
If someone is strong then john is not old or kind.
If someone is both not wise and not tall then someone is either strong or wise.
Everyone who is not strong is not tall.
If someone... | Paul is not old. | entailment | (![X]:((~tall(X)|strong(X))=>~strong(X)))&
((?[X]:((~happy(X)&~creative(X))))<=>((funny(paul)|tall(paul))))&
((?[X]:(strong(X)))=>((~old(john)|kind(john))))&
((?[X]:((~wise(X)&~tall(X))))=>(?[X]:((strong(X)<~>wise(X)))))&
(![X]:(~strong(X)=>~tall(X)))&
((?[X]:((~creative(X)&~humble(X))))<=>(?[X]:((~happy(X)<~>~creative... | ~old(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1231008216549537099666536
% SZS output start Proof for 1231008216549537099666536
12. ! [X0] : (old(X0) => (creative(X0) & ~old(X0))) [input p11]
25. old(paul) [input hypothesis]
36. ! [X0] : ((creative(X0) & ~old(X0)) | ~old(X0)) [ennf transformation 12]
105. ~old(X0) | ~old(X0) [cnf tran... | 0 |
Everyone who is not wise or kind is strong. If someone is generous or humble then someone is not calm. Everyone who is either not curious or old is both curious and not happy. Everyone who is not brave or kind is both old and tall and vice versa. Everyone who is both quiet and funny is either kind or funny and vice ver... | Fred is not strong. | neutral | (![X]:((~wise(X)|kind(X))=>strong(X)))&
((?[X]:((generous(X)|humble(X))))=>(?[X]:(~calm(X))))&
(![X]:((~curious(X)<~>old(X))=>(curious(X)&~happy(X))))&
(![X]:((~brave(X)|kind(X))<=>(old(X)&tall(X))))&
(![X]:((quiet(X)&funny(X))<=>(kind(X)<~>funny(X))))&
(![X]:((happy(X)<~>~patient(X))=>calm(X)))&
(![X]:((generous(X)<~>... | ~strong(fred) | [] | null | 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... | Susan is brave. | 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... | brave(susan) | [] | null | 0 |
If fred is both generous and wise then alice is either not curious or happy and vice versa. Everyone who is both creative and quiet is quiet or happy and vice versa. If susan is either creative or not rich then lucy is both kind and not brave and vice versa. Everyone who is either not rich or funny is both patient and ... | Mary is creative. | neutral | (((generous(fred)&wise(fred)))<=>((~curious(alice)<~>happy(alice))))&
(![X]:((creative(X)&quiet(X))<=>(quiet(X)|happy(X))))&
(((creative(susan)<~>~rich(susan)))<=>((kind(lucy)&~brave(lucy))))&
(![X]:((~rich(X)<~>funny(X))<=>(patient(X)&~patient(X))))&
(![X]:((~kind(X)|funny(X))<=>(~brave(X)&~patient(X))))&
((?[X]:((~wi... | creative(mary) | [] | null | 0 |
If someone is not humble or not quiet then someone is not strong and vice versa. Everyone who is either brave or quiet is creative or brave and vice versa. If susan is not creative then fred is both not curious and quiet and vice versa. Everyone who is both not quiet and not rich is both not humble and quiet and vice v... | Susan is not patient. | entailment | ((?[X]:((~humble(X)|~quiet(X))))<=>(?[X]:(~strong(X))))&
(![X]:((brave(X)<~>quiet(X))<=>(creative(X)|brave(X))))&
((~creative(susan))<=>((~curious(fred)&quiet(fred))))&
(![X]:((~quiet(X)&~rich(X))<=>(~humble(X)&quiet(X))))&
((calm(mary))<=>(?[X]:((calm(X)&~curious(X)))))&
(![X]:((patient(X)<~>~calm(X))<=>(quiet(X)|crea... | ~patient(susan) | [
"p1",
"p2",
"p5",
"p9",
"p12",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2348319758871598745647913
% SZS output start Proof for 2348319758871598745647913
2. ! [X0] : ((brave(X0) <~> quiet(X0)) <=> (brave(X0) | creative(X0))) [input p1]
3. ~creative(susan) <=> (quiet(fred) & ~curious(fred)) [input p2]
6. ! [X0] : ((patient(X0) <~> ~calm(X0)) <=> (creative(X0) |... | 0 |
If someone is strong or generous then someone is both funny and rich.
Everyone who is not brave is not calm or not creative and vice versa.
Everyone who is either not old or strong is not tall.
If someone is not kind or not humble then alice is both happy and not wise and vice versa.
If john is both not creative and ha... | Fred is brave. | contradiction | ((?[X]:((strong(X)|generous(X))))=>(?[X]:((funny(X)&rich(X)))))&
(![X]:(~brave(X)<=>(~calm(X)|~creative(X))))&
(![X]:((~old(X)<~>strong(X))=>~tall(X)))&
((?[X]:((~kind(X)|~humble(X))))<=>((happy(alice)&~wise(alice))))&
(((~creative(john)&happy(john)))<=>(?[X]:(happy(X))))&
(![X]:(patient(X)=>~calm(X)))&
(![X]:((~brave(... | brave(fred) | [
"p1",
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5315910295590993272380934
% SZS output start Proof for 5315910295590993272380934
2. ! [X0] : (~brave(X0) <=> (~creative(X0) | ~calm(X0))) [input p1]
6. ! [X0] : (patient(X0) => ~calm(X0)) [input p5]
8. ! [X0] : (~strong(X0) => (curious(X0) & ~creative(X0))) [input p7]
15. ! [X0] : (~patie... | 0 |
If someone is creative then alice is either rich or generous. Everyone who is both not rich and old is humble or not brave. Everyone who is not funny is quiet or kind. Everyone who is both not creative and kind is funny or humble. If someone is not creative then someone is not kind or not patient. Everyone who is creat... | Susan is quiet. | entailment | ((?[X]:(creative(X)))=>((rich(alice)<~>generous(alice))))&
(![X]:((~rich(X)&old(X))=>(humble(X)|~brave(X))))&
(![X]:(~funny(X)=>(quiet(X)|kind(X))))&
(![X]:((~creative(X)&kind(X))=>(funny(X)|humble(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~kind(X)|~patient(X)))))&
(![X]:((creative(X)|~rich(X))<=>(strong(X)|creative(X))))... | quiet(susan) | [
"p7",
"p11",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 550222825179555598322
% SZS output start Proof for 550222825179555598322
8. ! [X0] : ((~quiet(X0) | funny(X0)) <=> (happy(X0) & generous(X0))) [input p7]
12. ! [X0] : ((rich(X0) | old(X0)) => (curious(X0) & generous(X0))) [input p11]
15. ! [X0] : ((~quiet(X0) | ~brave(X0)) <=> (~curious(X... | 0 |
If someone is both humble and tall then someone is either kind or not kind.
If mary is not tall then someone is both not funny and tall and vice versa.
Everyone who is not generous is old.
Everyone who is either not creative or humble is either not kind or not curious.
If paul is either not kind or wise then someone is... | John is humble. | entailment | ((?[X]:((humble(X)&tall(X))))=>(?[X]:((kind(X)<~>~kind(X)))))&
((~tall(mary))<=>(?[X]:((~funny(X)&tall(X)))))&
(![X]:(~generous(X)=>old(X)))&
(![X]:((~creative(X)<~>humble(X))=>(~kind(X)<~>~curious(X))))&
(((~kind(paul)<~>wise(paul)))<=>(?[X]:((calm(X)&funny(X)))))&
(((humble(fred)&~humble(fred)))=>(?[X]:((~wise(X)<~>~... | humble(john) | [
"p9",
"p12",
"p13",
"p14",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 598482612083689202627093
% SZS output start Proof for 598482612083689202627093
10. ! [X0] : ((~old(X0) <~> ~strong(X0)) <=> (~brave(X0) | ~happy(X0))) [input p9]
13. ! [X0] : ((calm(X0) <~> strong(X0)) <=> (~old(X0) | humble(X0))) [input p12]
14. ! [X0] : ((brave(X0) <~> calm(X0)) <=> (~h... | 0 |
Everyone who is either not calm or not happy is both funny and old.
If someone is both calm and not old then lucy is both not quiet and rich and vice versa.
If someone is not happy then someone is both calm and not generous and vice versa.
If someone is both not curious and brave then john is not tall or not old.
Every... | Lucy is happy. | neutral | (![X]:((~calm(X)<~>~happy(X))=>(funny(X)&old(X))))&
((?[X]:((calm(X)&~old(X))))<=>((~quiet(lucy)&rich(lucy))))&
((?[X]:(~happy(X)))<=>(?[X]:((calm(X)&~generous(X)))))&
((?[X]:((~curious(X)&brave(X))))=>((~tall(john)|~old(john))))&
(![X]:((~quiet(X)|~creative(X))=>quiet(X)))&
((generous(alice))=>(?[X]:((~kind(X)&~curiou... | happy(lucy) | [] | null | 0 |
If alice is not curious then someone is either not generous or curious.
Everyone who is both not generous and not old is both not calm and not quiet.
Everyone who is creative is either not kind or kind and vice versa.
Everyone who is quiet is wise.
Everyone who is both creative and brave is both not tall and not happy.... | Fred is rich. | neutral | ((~curious(alice))=>(?[X]:((~generous(X)<~>curious(X)))))&
(![X]:((~generous(X)&~old(X))=>(~calm(X)&~quiet(X))))&
(![X]:(creative(X)<=>(~kind(X)<~>kind(X))))&
(![X]:(quiet(X)=>wise(X)))&
(![X]:((creative(X)&brave(X))=>(~tall(X)&~happy(X))))&
(![X]:(~old(X)=>funny(X)))&
((?[X]:(creative(X)))<=>((creative(susan)<~>happy(... | rich(fred) | [] | null | 0 |
Everyone who is wise or creative is either happy or not brave and vice versa.
Everyone who is either not humble or curious is kind and vice versa.
Everyone who is either not curious or strong is not creative and vice versa.
If john is creative or not patient then alice is either calm or not brave and vice versa.
If som... | Fred is wise. | neutral | (![X]:((wise(X)|creative(X))<=>(happy(X)<~>~brave(X))))&
(![X]:((~humble(X)<~>curious(X))<=>kind(X)))&
(![X]:((~curious(X)<~>strong(X))<=>~creative(X)))&
(((creative(john)|~patient(john)))<=>((calm(alice)<~>~brave(alice))))&
((?[X]:((strong(X)<~>~old(X))))<=>((~humble(alice)&brave(alice))))&
(((~generous(john)&~humble(... | wise(fred) | [] | null | 0 |
Everyone who is wise is either not kind or quiet. If alice is both kind and wise then someone is not rich or old and vice versa. Everyone who is not generous or tall is not wise or curious. If someone is both not kind and wise then someone is wise or not generous and vice versa. Everyone who is not kind is both not gen... | Lucy is not generous. | entailment | (![X]:(wise(X)=>(~kind(X)<~>quiet(X))))&
(((kind(alice)&wise(alice)))<=>(?[X]:((~rich(X)|old(X)))))&
(![X]:((~generous(X)|tall(X))=>(~wise(X)|curious(X))))&
((?[X]:((~kind(X)&wise(X))))<=>(?[X]:((wise(X)|~generous(X)))))&
(![X]:(~kind(X)=>(~generous(X)&strong(X))))&
(((funny(fred)&~brave(fred)))=>(?[X]:((~happy(X)<~>cr... | ~generous(lucy) | [
"p4",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4984754640596606764755156
% SZS output start Proof for 4984754640596606764755156
5. ! [X0] : (~kind(X0) => (strong(X0) & ~generous(X0))) [input p4]
9. ! [X0] : ((creative(X0) & kind(X0)) <=> kind(X0)) [input p8]
15. ! [X0] : (~creative(X0) <=> (~creative(X0) <~> creative(X0))) [input p14]... | 0 |
If john is rich or not humble then mary is either happy or creative and vice versa.
Everyone who is either not rich or brave is either quiet or not brave and vice versa.
If lucy is not brave or not kind then someone is not tall.
If susan is either not curious or not brave then someone is both not wise and strong.
Every... | John is not curious. | contradiction | (((rich(john)|~humble(john)))<=>((happy(mary)<~>creative(mary))))&
(![X]:((~rich(X)<~>brave(X))<=>(quiet(X)<~>~brave(X))))&
(((~brave(lucy)|~kind(lucy)))=>(?[X]:(~tall(X))))&
(((~curious(susan)<~>~brave(susan)))=>(?[X]:((~wise(X)&strong(X)))))&
(![X]:(~rich(X)=>rich(X)))&
(![X]:((~old(X)&strong(X))=>(~wise(X)|wise(X)))... | ~curious(john) | [
"p1",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4967265482120377580229652
% SZS output start Proof for 4967265482120377580229652
2. ! [X0] : ((~rich(X0) <~> brave(X0)) <=> (quiet(X0) <~> ~brave(X0))) [input p1]
5. ! [X0] : (~rich(X0) => rich(X0)) [input p4]
11. ! [X0] : (quiet(X0) => (~calm(X0) & curious(X0))) [input p10]
23. ~curious(... | 0 |
Everyone who is not patient is not brave and vice versa. If someone is creative or not old then someone is not strong or not calm and vice versa. Everyone who is both not brave and strong is both happy and not quiet and vice versa. Everyone who is not patient or patient is not humble. If someone is kind or not tall the... | Lucy is not funny. | entailment | (![X]:(~patient(X)<=>~brave(X)))&
((?[X]:((creative(X)|~old(X))))<=>(?[X]:((~strong(X)|~calm(X)))))&
(![X]:((~brave(X)&strong(X))<=>(happy(X)&~quiet(X))))&
(![X]:((~patient(X)|patient(X))=>~humble(X)))&
((?[X]:((kind(X)|~tall(X))))<=>(?[X]:((funny(X)|rich(X)))))&
(((~rich(mary)|~humble(mary)))<=>(?[X]:(~strong(X))))&
(... | ~funny(lucy) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8264821886752443412994792
% SZS output start Proof for 8264821886752443412994792
16. ! [X0] : ((kind(X0) | ~kind(X0)) => (~funny(X0) & creative(X0))) [input p15]
25. funny(lucy) [input hypothesis]
35. ! [X0] : ((~funny(X0) & creative(X0)) | (~kind(X0) & kind(X0))) [ennf transformation 16]... | 0 |
Everyone who is not calm is both tall and not wise and vice versa.
If john is humble then fred is not rich or not happy.
If susan is either not quiet or not old then john is either not brave or patient.
Everyone who is not old or not tall is both generous and not old.
Everyone who is both old and not rich is kind or no... | Susan is brave. | entailment | (![X]:(~calm(X)<=>(tall(X)&~wise(X))))&
((humble(john))=>((~rich(fred)|~happy(fred))))&
(((~quiet(susan)<~>~old(susan)))=>((~brave(john)<~>patient(john))))&
(![X]:((~old(X)|~tall(X))=>(generous(X)&~old(X))))&
(![X]:((old(X)&~rich(X))<=>(kind(X)|~generous(X))))&
(((~humble(lucy)<~>~brave(lucy)))<=>((~tall(john)&~patient... | brave(susan) | [
"p0",
"p3",
"p4",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8036729948817482273898953
% SZS output start Proof for 8036729948817482273898953
1. ! [X0] : (~calm(X0) <=> (~wise(X0) & tall(X0))) [input p0]
4. ! [X0] : ((~tall(X0) | ~old(X0)) => (~old(X0) & generous(X0))) [input p3]
5. ! [X0] : ((~rich(X0) & old(X0)) <=> (~generous(X0) | kind(X0))) [i... | 0 |
Everyone who is either wise or calm is happy and vice versa.
Everyone who is not kind or curious is humble or creative and vice versa.
Everyone who is both not patient and funny is not happy or funny and vice versa.
If someone is either quiet or funny then alice is funny.
Everyone who is not rich is both brave and kind... | Alice is rich. | entailment | (![X]:((wise(X)<~>calm(X))<=>happy(X)))&
(![X]:((~kind(X)|curious(X))<=>(humble(X)|creative(X))))&
(![X]:((~patient(X)&funny(X))<=>(~happy(X)|funny(X))))&
((?[X]:((quiet(X)<~>funny(X))))=>(funny(alice)))&
(![X]:(~rich(X)<=>(brave(X)&kind(X))))&
(![X]:((~rich(X)<~>~generous(X))=>(~patient(X)&old(X))))&
(![X]:((~funny(X)... | rich(alice) | [
"p0",
"p2",
"p4",
"p6",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7931935392118320805402929
% SZS output start Proof for 7931935392118320805402929
1. ! [X0] : ((wise(X0) <~> calm(X0)) <=> happy(X0)) [input p0]
3. ! [X0] : ((funny(X0) & ~patient(X0)) <=> (funny(X0) | ~happy(X0))) [input p2]
5. ! [X0] : (~rich(X0) <=> (kind(X0) & brave(X0))) [input p4]
7.... | 0 |
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