premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is both not strong and curious then someone is either old or creative and vice versa.
Everyone who is happy is not humble or curious.
If someone is both not creative and not strong then paul is wise and vice versa.
If someone is either not tall or old then someone is either not happy or old and vice versa.
E... | John is not tall. | contradiction | ((?[X]:((~strong(X)&curious(X))))<=>(?[X]:((old(X)<~>creative(X)))))&
(![X]:(happy(X)=>(~humble(X)|curious(X))))&
((?[X]:((~creative(X)&~strong(X))))<=>(wise(paul)))&
((?[X]:((~tall(X)<~>old(X))))<=>(?[X]:((~happy(X)<~>old(X)))))&
(![X]:((brave(X)<~>calm(X))<=>(rich(X)|generous(X))))&
(((generous(alice)<~>~generous(ali... | ~tall(john) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5244251420792625517232596
% SZS output start Proof for 5244251420792625517232596
7. ! [X0] : ((wise(X0) | ~tall(X0)) <=> (quiet(X0) & ~rich(X0))) [input p6]
15. ! [X0] : ((~quiet(X0) & ~wise(X0)) <=> ~rich(X0)) [input p14]
24. ~tall(john) [input hypothesis]
57. ! [X0] : (((wise(X0) | ~tal... | 0 |
Everyone who is not tall or happy is both curious and not funny.
If john is both creative and tall then lucy is not rich or rich and vice versa.
Everyone who is both strong and patient is either quiet or not quiet and vice versa.
If someone is quiet then fred is not humble or not happy.
If fred is not generous or not c... | Alice is not happy. | entailment | (![X]:((~tall(X)|happy(X))=>(curious(X)&~funny(X))))&
(((creative(john)&tall(john)))<=>((~rich(lucy)|rich(lucy))))&
(![X]:((strong(X)&patient(X))<=>(quiet(X)<~>~quiet(X))))&
((?[X]:(quiet(X)))=>((~humble(fred)|~happy(fred))))&
(((~generous(fred)|~curious(fred)))=>((~strong(fred)|old(fred))))&
((?[X]:(humble(X)))=>((cal... | ~happy(alice) | [
"p0",
"p5",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4915249063253763739216867
% SZS output start Proof for 4915249063253763739216867
1. ! [X0] : ((happy(X0) | ~tall(X0)) => (~funny(X0) & curious(X0))) [input p0]
6. ? [X0] : humble(X0) => (funny(alice) | calm(alice)) [input p5]
16. ! [X0] : (~calm(X0) <=> (~quiet(X0) | quiet(X0))) [input p1... | 0 |
Everyone who is not generous or not humble is both generous and not patient.
If someone is not creative or not humble then paul is either rich or not tall.
Everyone who is both wise and not happy is either not calm or humble.
Everyone who is creative is both patient and old.
If someone is kind or calm then someone is n... | Paul is rich. | contradiction | (![X]:((~generous(X)|~humble(X))=>(generous(X)&~patient(X))))&
((?[X]:((~creative(X)|~humble(X))))=>((rich(paul)<~>~tall(paul))))&
(![X]:((wise(X)&~happy(X))=>(~calm(X)<~>humble(X))))&
(![X]:(creative(X)=>(patient(X)&old(X))))&
((?[X]:((kind(X)|calm(X))))=>(?[X]:((~wise(X)|brave(X)))))&
(![X]:(~funny(X)=>(~wise(X)<~>~p... | rich(paul) | [
"p1",
"p7",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5073466281341841288670883
% SZS output start Proof for 5073466281341841288670883
2. ? [X0] : (~humble(X0) | ~creative(X0)) => (rich(paul) <~> ~tall(paul)) [input p1]
8. ! [X0] : ((~old(X0) <~> ~happy(X0)) <=> (~tall(X0) & patient(X0))) [input p7]
10. ! [X0] : ((curious(X0) | ~old(X0)) => ... | 0 |
If alice is not old then someone is not kind or not curious.
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 vice versa.
If someone is not tall then some... | Mary is patient. | entailment | ((~old(alice))=>(?[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(X)&~quiet(X)))))&
(![X]:((~q... | patient(mary) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1755666736740770036780605
% SZS output start Proof for 1755666736740770036780605
14. ! [X0] : ((~funny(X0) | ~patient(X0)) <=> (~rich(X0) & patient(X0))) [input p13]
24. ~patient(mary) [input hypothesis]
69. ! [X0] : (((~funny(X0) | ~patient(X0)) | (rich(X0) | ~patient(X0))) & ((~rich(X0)... | 0 |
Everyone who is both funny and not tall is either not creative or not patient. Everyone who is both not creative and not curious is funny and vice versa. Everyone who is generous or not quiet is rich. Everyone who is not old is both not creative and strong and vice versa. Everyone who is not quiet is funny or not humbl... | Alice is not brave. | neutral | (![X]:((funny(X)&~tall(X))=>(~creative(X)<~>~patient(X))))&
(![X]:((~creative(X)&~curious(X))<=>funny(X)))&
(![X]:((generous(X)|~quiet(X))=>rich(X)))&
(![X]:(~old(X)<=>(~creative(X)&strong(X))))&
(![X]:(~quiet(X)<=>(funny(X)|~humble(X))))&
(![X]:((funny(X)<~>~tall(X))<=>(~tall(X)&~old(X))))&
(((brave(john)|strong(john)... | ~brave(alice) | [] | null | 0 |
Everyone who is both rich and not creative is either patient or not tall and vice versa. If someone is either not rich or creative then fred is either wise or calm and vice versa. Everyone who is both not rich and not curious is old or funny and vice versa. Everyone who is not wise is kind and vice versa. If fred is ha... | Mary is not funny. | neutral | (![X]:((rich(X)&~creative(X))<=>(patient(X)<~>~tall(X))))&
((?[X]:((~rich(X)<~>creative(X))))<=>((wise(fred)<~>calm(fred))))&
(![X]:((~rich(X)&~curious(X))<=>(old(X)|funny(X))))&
(![X]:(~wise(X)<=>kind(X)))&
(((happy(fred)|creative(fred)))=>(?[X]:((~strong(X)|~quiet(X)))))&
((~funny(susan))=>(?[X]:((funny(X)<~>~calm(X)... | ~funny(mary) | [] | null | 0 |
Everyone who is both quiet and not old is not tall or not humble and vice versa. If mary is not funny or not rich then someone is patient and vice versa. Everyone who is not funny is calm or not tall. Everyone who is both not strong and not rich is not kind and vice versa. If someone is funny or not wise then fred is p... | Mary is not funny. | neutral | (![X]:((quiet(X)&~old(X))<=>(~tall(X)|~humble(X))))&
(((~funny(mary)|~rich(mary)))<=>(?[X]:(patient(X))))&
(![X]:(~funny(X)=>(calm(X)|~tall(X))))&
(![X]:((~strong(X)&~rich(X))<=>~kind(X)))&
((?[X]:((funny(X)|~wise(X))))=>(patient(fred)))&
(((~tall(fred)|old(fred)))=>(tall(fred)))&
((?[X]:((brave(X)&~wise(X))))<=>((~qui... | ~funny(mary) | [] | null | 0 |
If paul is either not patient or not rich then paul is either tall or not calm.
If lucy is creative or strong then susan is calm or not humble and vice versa.
If someone is both tall and patient then someone is not strong or not old.
Everyone who is not wise or patient is either not strong or calm and vice versa.
Every... | Alice is humble. | contradiction | (((~patient(paul)<~>~rich(paul)))=>((tall(paul)<~>~calm(paul))))&
(((creative(lucy)|strong(lucy)))<=>((calm(susan)|~humble(susan))))&
((?[X]:((tall(X)&patient(X))))=>(?[X]:((~strong(X)|~old(X)))))&
(![X]:((~wise(X)|patient(X))<=>(~strong(X)<~>calm(X))))&
(![X]:((~rich(X)|~tall(X))=>(happy(X)|~tall(X))))&
(((brave(susan... | humble(alice) | [
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2407353220923960152846603
% SZS output start Proof for 2407353220923960152846603
15. ! [X0] : ((generous(X0) | ~humble(X0)) <=> (tall(X0) & ~generous(X0))) [input p14]
16. ? [X0] : (~generous(X0) <~> ~humble(X0)) <=> (generous(paul) & ~old(paul)) [input p15]
24. humble(alice) [input hypot... | 0 |
Everyone who is both not brave and not old is either not funny or not humble and vice versa.
Everyone who is either not creative or not funny is either kind or strong.
If someone is not kind then mary is rich and vice versa.
Everyone who is happy is strong and vice versa.
If fred is creative or not old then someone is ... | Lucy is not happy. | contradiction | (![X]:((~brave(X)&~old(X))<=>(~funny(X)<~>~humble(X))))&
(![X]:((~creative(X)<~>~funny(X))=>(kind(X)<~>strong(X))))&
((?[X]:(~kind(X)))<=>(rich(mary)))&
(![X]:(happy(X)<=>strong(X)))&
(((creative(fred)|~old(fred)))=>(?[X]:((strong(X)&~rich(X)))))&
(![X]:((~funny(X)|curious(X))<=>(curious(X)&~quiet(X))))&
(![X]:((curiou... | ~happy(lucy) | [
"p3",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3185128719328693132801882
% SZS output start Proof for 3185128719328693132801882
4. ! [X0] : (happy(X0) <=> strong(X0)) [input p3]
12. ! [X0] : (creative(X0) <=> (~strong(X0) | ~tall(X0))) [input p11]
19. ~happy(lucy) <~> creative(lucy) [input p18]
25. ~happy(lucy) [input hypothesis]
47. ... | 0 |
If someone is not quiet then someone is both not calm and not tall.
If someone is not wise then fred is curious.
If someone is not patient then someone is both strong and not rich.
If someone is brave then fred is wise and vice versa.
If alice is humble or not tall then someone is not tall or happy and vice versa.
If s... | Fred is quiet. | entailment | ((?[X]:(~quiet(X)))=>(?[X]:((~calm(X)&~tall(X)))))&
((?[X]:(~wise(X)))=>(curious(fred)))&
((?[X]:(~patient(X)))=>(?[X]:((strong(X)&~rich(X)))))&
((?[X]:(brave(X)))<=>(wise(fred)))&
(((humble(alice)|~tall(alice)))<=>(?[X]:((~tall(X)|happy(X)))))&
((?[X]:((~calm(X)&kind(X))))=>(?[X]:((rich(X)&~rich(X)))))&
(![X]:(wise(X)... | quiet(fred) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9204933076722637528530160
% SZS output start Proof for 9204933076722637528530160
1. ? [X0] : ~quiet(X0) => ? [X0] : (~tall(X0) & ~calm(X0)) [input p0]
12. ! [X0] : ((~wise(X0) | ~calm(X0)) => (brave(X0) & ~brave(X0))) [input p11]
25. ~quiet(fred) [input hypothesis]
26. ? [X0] : ~quiet(X0)... | 0 |
Everyone who is either happy or not funny is both humble and quiet and vice versa. Everyone who is both kind and quiet is curious and vice versa. If john is both brave and not tall then john is both not patient and quiet and vice versa. If alice is both not tall and not patient then someone is both not creative and cal... | John is old. | neutral | (![X]:((happy(X)<~>~funny(X))<=>(humble(X)&quiet(X))))&
(![X]:((kind(X)&quiet(X))<=>curious(X)))&
(((brave(john)&~tall(john)))<=>((~patient(john)&quiet(john))))&
(((~tall(alice)&~patient(alice)))=>(?[X]:((~creative(X)&calm(X)))))&
((wise(paul))<=>((~strong(john)&~old(john))))&
(![X]:(strong(X)<=>humble(X)))&
((?[X]:((~... | old(john) | [] | null | 0 |
Everyone who is both brave and not curious is not humble or not creative.
If lucy is both creative and patient then someone is patient or not tall and vice versa.
If someone is both not funny and creative then someone is brave.
If someone is both not kind and not strong then fred is not generous and vice versa.
If john... | Mary is funny. | entailment | (![X]:((brave(X)&~curious(X))=>(~humble(X)|~creative(X))))&
(((creative(lucy)&patient(lucy)))<=>(?[X]:((patient(X)|~tall(X)))))&
((?[X]:((~funny(X)&creative(X))))=>(?[X]:(brave(X))))&
((?[X]:((~kind(X)&~strong(X))))<=>(~generous(fred)))&
(((wise(john)<~>creative(john)))=>((wise(john)<~>funny(john))))&
(![X]:((~wise(X)|... | funny(mary) | [
"p2",
"p5",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7846187681640562870480334
% SZS output start Proof for 7846187681640562870480334
3. ? [X0] : (creative(X0) & ~funny(X0)) => ? [X0] : brave(X0) [input p2]
6. ! [X0] : ((~old(X0) | ~wise(X0)) <=> ~brave(X0)) [input p5]
7. ! [X0] : ((~kind(X0) <~> wise(X0)) <=> (old(X0) | ~calm(X0))) [input ... | 0 |
Everyone who is either not wise or brave is not tall or not patient.
Everyone who is both happy and humble is quiet or not humble.
If fred is not kind then someone is either wise or creative.
Everyone who is not old is either not wise or not calm.
Everyone who is not strong is curious or not calm and vice versa.
If joh... | Paul is brave. | neutral | (![X]:((~wise(X)<~>brave(X))=>(~tall(X)|~patient(X))))&
(![X]:((happy(X)&humble(X))=>(quiet(X)|~humble(X))))&
((~kind(fred))=>(?[X]:((wise(X)<~>creative(X)))))&
(![X]:(~old(X)=>(~wise(X)<~>~calm(X))))&
(![X]:(~strong(X)<=>(curious(X)|~calm(X))))&
((~tall(john))=>(?[X]:(~tall(X))))&
(![X]:((~rich(X)|happy(X))=>~tall(X))... | brave(paul) | [] | null | 0 |
Everyone who is not patient is both happy and quiet and vice versa.
Everyone who is funny or not quiet is either creative or not generous and vice versa.
Everyone who is creative is both kind and patient.
If paul is either not calm or wise then someone is creative or wise and vice versa.
If alice is happy or not patien... | Alice is rich. | entailment | (![X]:(~patient(X)<=>(happy(X)&quiet(X))))&
(![X]:((funny(X)|~quiet(X))<=>(creative(X)<~>~generous(X))))&
(![X]:(creative(X)=>(kind(X)&patient(X))))&
(((~calm(paul)<~>wise(paul)))<=>(?[X]:((creative(X)|wise(X)))))&
(((happy(alice)|~patient(alice)))=>(?[X]:(humble(X))))&
(((~creative(susan)|wise(susan)))=>(?[X]:((brave(... | rich(alice) | [
"p0",
"p1",
"p2",
"p7",
"p8",
"p9",
"p11",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5263530813471669758454095
% SZS output start Proof for 5263530813471669758454095
1. ! [X0] : (~patient(X0) <=> (quiet(X0) & happy(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) | funny(X0)) <=> (creative(X0) <~> ~generous(X0))) [input p1]
3. ! [X0] : (creative(X0) => (patient(X0) & kind(X0))) ... | 0 |
If susan is both not wise and not tall then someone is either not wise or humble. Everyone who is not calm or tall is either curious or humble and vice versa. If susan is not generous or generous then mary is both not old and not kind and vice versa. If mary is curious then paul is either not curious or not patient. If... | Mary is creative. | contradiction | (((~wise(susan)&~tall(susan)))=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:((~calm(X)|tall(X))<=>(curious(X)<~>humble(X))))&
(((~generous(susan)|generous(susan)))<=>((~old(mary)&~kind(mary))))&
((curious(mary))=>((~curious(paul)<~>~patient(paul))))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(~brave(mary)))&
(![X]:((happy(X)<... | creative(mary) | [
"p2",
"p5",
"p6",
"p7",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3317658349415921288540394
% SZS output start Proof for 3317658349415921288540394
3. (generous(susan) | ~generous(susan)) <=> (~kind(mary) & ~old(mary)) [input p2]
6. ! [X0] : ((happy(X0) <~> rich(X0)) <=> (generous(X0) & creative(X0))) [input p5]
7. ! [X0] : ((~happy(X0) | kind(X0)) <=> (... | 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 not old or tall is happy and vice versa.
Everyone who is both not kind and rich is humble.
Everyone who is generous is wise.
Everyone who is both quiet and humble i... | Mary is old. | neutral | (![X]:((quiet(X)|~strong(X))<=>(kind(X)&~funny(X))))&
(![X]:((patient(X)<~>rich(X))=>(~happy(X)|kind(X))))&
(![X]:((~old(X)|tall(X))<=>happy(X)))&
(![X]:((~kind(X)&rich(X))=>humble(X)))&
(![X]:(generous(X)=>wise(X)))&
(![X]:((quiet(X)&humble(X))<=>(quiet(X)|strong(X))))&
(![X]:((kind(X)|tall(X))=>(strong(X)&generous(X)... | old(mary) | [] | null | 0 |
If someone is not quiet then john is not humble and vice versa.
Everyone who is humble is creative or not strong.
If mary is humble or funny then someone is either not curious or not patient.
If someone is humble or tall then someone is either funny or humble.
Everyone who is both curious and not wise is happy or humbl... | John is humble. | contradiction | ((?[X]:(~quiet(X)))<=>(~humble(john)))&
(![X]:(humble(X)=>(creative(X)|~strong(X))))&
(((humble(mary)|funny(mary)))=>(?[X]:((~curious(X)<~>~patient(X)))))&
((?[X]:((humble(X)|tall(X))))=>(?[X]:((funny(X)<~>humble(X)))))&
(![X]:((curious(X)&~wise(X))<=>(happy(X)|humble(X))))&
((patient(mary))<=>(?[X]:((calm(X)&happy(X))... | humble(john) | [
"p0",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3752167205879695256985169
% SZS output start Proof for 3752167205879695256985169
1. ? [X0] : ~quiet(X0) <=> ~humble(john) [input p0]
12. patient(alice) <=> ? [X0] : quiet(X0) [input p11]
20. ~patient(alice) [input p19]
24. humble(john) [input hypothesis]
35. (? [X0] : ~quiet(X0) | humble(... | 0 |
If someone is both not rich and calm then alice is either quiet or not kind and vice versa. If john is either not happy or quiet then someone is both curious and happy and vice versa. Everyone who is either happy or tall is both curious and not creative and vice versa. Everyone who is either not wise or not strong is b... | Susan is not brave. | entailment | ((?[X]:((~rich(X)&calm(X))))<=>((quiet(alice)<~>~kind(alice))))&
(((~happy(john)<~>quiet(john)))<=>(?[X]:((curious(X)&happy(X)))))&
(![X]:((happy(X)<~>tall(X))<=>(curious(X)&~creative(X))))&
(![X]:((~wise(X)<~>~strong(X))=>(humble(X)&calm(X))))&
(![X]:((~old(X)<~>~creative(X))=>(~humble(X)&quiet(X))))&
(![X]:(brave(X)<... | ~brave(susan) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3379596421703698595708266
% SZS output start Proof for 3379596421703698595708266
6. ! [X0] : (brave(X0) <=> (calm(X0) & humble(X0))) [input p5]
9. ! [X0] : (calm(X0) => ~brave(X0)) [input p8]
25. brave(susan) [input hypothesis]
32. ! [X0] : (~brave(X0) | ~calm(X0)) [ennf transformation 9]... | 0 |
If paul is either not generous or not rich then susan is not generous or not brave. Everyone who is either not old or generous is either not old or not brave. Everyone who is not kind is not old and vice versa. Everyone who is funny is not calm or not tall and vice versa. If john is either not humble or strong then mar... | Paul is happy. | entailment | (((~generous(paul)<~>~rich(paul)))=>((~generous(susan)|~brave(susan))))&
(![X]:((~old(X)<~>generous(X))=>(~old(X)<~>~brave(X))))&
(![X]:(~kind(X)<=>~old(X)))&
(![X]:(funny(X)<=>(~calm(X)|~tall(X))))&
(((~humble(john)<~>strong(john)))=>(~creative(mary)))&
(![X]:(brave(X)=>~patient(X)))&
(![X]:(humble(X)=>(~calm(X)<~>~ki... | happy(paul) | [
"p2",
"p3",
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2508123829589595705669102
% SZS output start Proof for 2508123829589595705669102
3. ! [X0] : (~kind(X0) <=> ~old(X0)) [input p2]
4. ! [X0] : (funny(X0) <=> (~tall(X0) | ~calm(X0))) [input p3]
7. ! [X0] : (humble(X0) => (~calm(X0) <~> ~kind(X0))) [input p6]
11. ! [X0] : ((old(X0) & humble(... | 0 |
If mary is both not funny and not happy then someone is not generous.
If susan is generous then someone is either not happy or brave.
Everyone who is not kind is both not humble and not old.
If someone is both funny and not strong then someone is quiet or curious.
Everyone who is wise or kind is both not generous and o... | Alice is wise. | contradiction | (((~funny(mary)&~happy(mary)))=>(?[X]:(~generous(X))))&
((generous(susan))=>(?[X]:((~happy(X)<~>brave(X)))))&
(![X]:(~kind(X)=>(~humble(X)&~old(X))))&
((?[X]:((funny(X)&~strong(X))))=>(?[X]:((quiet(X)|curious(X)))))&
(![X]:((wise(X)|kind(X))=>(~generous(X)&old(X))))&
(![X]:(wise(X)=>(~wise(X)|patient(X))))&
((?[X]:(~ge... | wise(alice) | [
"p2",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3712724963323905619611793
% SZS output start Proof for 3712724963323905619611793
3. ! [X0] : (~kind(X0) => (~old(X0) & ~humble(X0))) [input p2]
5. ! [X0] : ((kind(X0) | wise(X0)) => (old(X0) & ~generous(X0))) [input p4]
9. ! [X0] : ((humble(X0) | ~generous(X0)) => (~kind(X0) & quiet(X0)))... | 0 |
If someone is not kind then paul is either not brave or patient and vice versa. If someone is both not quiet and strong then someone is not wise or humble. Everyone who is either not tall or not calm is either not brave or not creative and vice versa. If someone is not brave or kind then someone is not funny or brave a... | Susan is not creative. | entailment | ((?[X]:(~kind(X)))<=>((~brave(paul)<~>patient(paul))))&
((?[X]:((~quiet(X)&strong(X))))=>(?[X]:((~wise(X)|humble(X)))))&
(![X]:((~tall(X)<~>~calm(X))<=>(~brave(X)<~>~creative(X))))&
((?[X]:((~brave(X)|kind(X))))<=>(?[X]:((~funny(X)|brave(X)))))&
(![X]:((~funny(X)&brave(X))<=>(creative(X)|~brave(X))))&
(![X]:((~old(X)<~... | ~creative(susan) | [
"p2",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5971570489681945784299973
% SZS output start Proof for 5971570489681945784299973
3. ! [X0] : ((~tall(X0) <~> ~calm(X0)) <=> (~brave(X0) <~> ~creative(X0))) [input p2]
5. ! [X0] : ((brave(X0) & ~funny(X0)) <=> (~brave(X0) | creative(X0))) [input p4]
14. ! [X0] : ((creative(X0) | ~old(X0)) ... | 0 |
If someone is not creative then paul is either happy or not rich.
Everyone who is either quiet or not wise is brave.
If alice is either kind or not curious then susan is not creative or calm.
Everyone who is not brave is not old.
If someone is both patient and strong then mary is both not patient and humble.
Everyone w... | Fred is funny. | entailment | ((?[X]:(~creative(X)))=>((happy(paul)<~>~rich(paul))))&
(![X]:((quiet(X)<~>~wise(X))=>brave(X)))&
(((kind(alice)<~>~curious(alice)))=>((~creative(susan)|calm(susan))))&
(![X]:(~brave(X)=>~old(X)))&
((?[X]:((patient(X)&strong(X))))=>((~patient(mary)&humble(mary))))&
(![X]:((~rich(X)&happy(X))<=>(quiet(X)&~humble(X))))&
... | funny(fred) | [
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8600629460891023282536861
% SZS output start Proof for 8600629460891023282536861
7. ! [X0] : (humble(X0) => (~happy(X0) & happy(X0))) [input p6]
10. ! [X0] : (humble(X0) <=> (~quiet(X0) & ~humble(X0))) [input p9]
15. ? [X0] : ~funny(X0) <=> ? [X0] : (~quiet(X0) & ~calm(X0)) [input p14]
25... | 0 |
Everyone who is either tall or patient is both not humble and old and vice versa.
If fred is either not patient or old then someone is not strong.
If fred is funny or not patient then someone is not curious or patient.
Everyone who is either calm or patient is not quiet or not strong and vice versa.
Everyone who is bot... | Lucy is old. | contradiction | (![X]:((tall(X)<~>patient(X))<=>(~humble(X)&old(X))))&
(((~patient(fred)<~>old(fred)))=>(?[X]:(~strong(X))))&
(((funny(fred)|~patient(fred)))=>(?[X]:((~curious(X)|patient(X)))))&
(![X]:((calm(X)<~>patient(X))<=>(~quiet(X)|~strong(X))))&
(![X]:((quiet(X)&~patient(X))<=>(~curious(X)&calm(X))))&
((?[X]:((~calm(X)&~kind(X)... | old(lucy) | [
"p0",
"p4",
"p7",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5134669034155106016349054
% SZS output start Proof for 5134669034155106016349054
1. ! [X0] : ((tall(X0) <~> patient(X0)) <=> (old(X0) & ~humble(X0))) [input p0]
5. ! [X0] : ((~patient(X0) & quiet(X0)) <=> (calm(X0) & ~curious(X0))) [input p4]
8. ! [X0] : ((curious(X0) & quiet(X0)) <=> (hu... | 0 |
Everyone who is not funny or not tall is either brave or not humble.
Everyone who is not quiet is either not tall or brave and vice versa.
Everyone who is either strong or not calm is quiet or not happy.
Everyone who is happy is both not wise and funny and vice versa.
If someone is either generous or not strong then so... | Mary is not funny. | contradiction | (![X]:((~funny(X)|~tall(X))=>(brave(X)<~>~humble(X))))&
(![X]:(~quiet(X)<=>(~tall(X)<~>brave(X))))&
(![X]:((strong(X)<~>~calm(X))=>(quiet(X)|~happy(X))))&
(![X]:(happy(X)<=>(~wise(X)&funny(X))))&
((?[X]:((generous(X)<~>~strong(X))))<=>(?[X]:((~curious(X)|~wise(X)))))&
(((~brave(lucy)|old(lucy)))<=>((quiet(john)|~strong... | ~funny(mary) | [
"p0",
"p1",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 262006125458209244981711
% SZS output start Proof for 262006125458209244981711
1. ! [X0] : ((~tall(X0) | ~funny(X0)) => (brave(X0) <~> ~humble(X0))) [input p0]
2. ! [X0] : (~quiet(X0) <=> (~tall(X0) <~> brave(X0))) [input p1]
14. ! [X0] : ((~patient(X0) & ~humble(X0)) <=> (~humble(X0) <~>... | 0 |
Everyone who is wise is both not creative and generous.
Everyone who is not quiet or not wise is either not curious or curious and vice versa.
If someone is both generous and not strong then fred is quiet.
Everyone who is not old or not patient is both not old and not calm and vice versa.
Everyone who is humble or not ... | Alice is not creative. | neutral | (![X]:(wise(X)=>(~creative(X)&generous(X))))&
(![X]:((~quiet(X)|~wise(X))<=>(~curious(X)<~>curious(X))))&
((?[X]:((generous(X)&~strong(X))))=>(quiet(fred)))&
(![X]:((~old(X)|~patient(X))<=>(~old(X)&~calm(X))))&
(![X]:((humble(X)|~brave(X))=>(~patient(X)&~generous(X))))&
((?[X]:(~patient(X)))=>((~funny(susan)<~>funny(su... | ~creative(alice) | [] | null | 0 |
If mary is both not kind and not wise then someone is both not strong and not quiet and vice versa.
Everyone who is kind is not creative.
If mary is not happy then someone is not curious.
Everyone who is brave or not generous is not old and vice versa.
If someone is rich or not patient then someone is not funny or not ... | John is curious. | entailment | (((~kind(mary)&~wise(mary)))<=>(?[X]:((~strong(X)&~quiet(X)))))&
(![X]:(kind(X)=>~creative(X)))&
((~happy(mary))=>(?[X]:(~curious(X))))&
(![X]:((brave(X)|~generous(X))<=>~old(X)))&
((?[X]:((rich(X)|~patient(X))))=>(?[X]:((~funny(X)|~wise(X)))))&
(![X]:((~curious(X)|patient(X))=>(~generous(X)&kind(X))))&
((?[X]:((patien... | curious(john) | [
"p3",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 420230426886097702910878
% SZS output start Proof for 420230426886097702910878
4. ! [X0] : ((~generous(X0) | brave(X0)) <=> ~old(X0)) [input p3]
6. ! [X0] : ((patient(X0) | ~curious(X0)) => (kind(X0) & ~generous(X0))) [input p5]
8. ! [X0] : ((~funny(X0) | humble(X0)) => (wise(X0) & old(X0... | 0 |
Everyone who is rich or old is both not humble and not wise. Everyone who is either not patient or not happy is either calm or not rich. If someone is not strong or not rich then john is not curious or not creative. If paul is both wise and happy then someone is either not tall or generous and vice versa. If someone is... | Paul is not creative. | neutral | (![X]:((rich(X)|old(X))=>(~humble(X)&~wise(X))))&
(![X]:((~patient(X)<~>~happy(X))=>(calm(X)<~>~rich(X))))&
((?[X]:((~strong(X)|~rich(X))))=>((~curious(john)|~creative(john))))&
(((wise(paul)&happy(paul)))<=>(?[X]:((~tall(X)<~>generous(X)))))&
((?[X]:((strong(X)&~rich(X))))<=>((~strong(alice)&~calm(alice))))&
(![X]:((p... | ~creative(paul) | [] | null | 0 |
Everyone who is not kind or not curious is kind.
Everyone who is not funny is either not generous or not calm.
If john is both strong and calm then lucy is both brave and wise and vice versa.
If someone is not wise then someone is either curious or wise.
If someone is rich then someone is both not generous and not wise... | Susan is not patient. | contradiction | (![X]:((~kind(X)|~curious(X))=>kind(X)))&
(![X]:(~funny(X)=>(~generous(X)<~>~calm(X))))&
(((strong(john)&calm(john)))<=>((brave(lucy)&wise(lucy))))&
((?[X]:(~wise(X)))=>(?[X]:((curious(X)<~>wise(X)))))&
((?[X]:(rich(X)))<=>(?[X]:((~generous(X)&~wise(X)))))&
(![X]:((strong(X)|curious(X))<=>(strong(X)&~tall(X))))&
((?[X]... | ~patient(susan) | [
"p0",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3157759302073936718660729
% SZS output start Proof for 3157759302073936718660729
1. ! [X0] : ((~curious(X0) | ~kind(X0)) => kind(X0)) [input p0]
19. ~kind(susan) | patient(susan) [input p18]
25. ~patient(susan) [input hypothesis]
29. ! [X0] : (kind(X0) | (curious(X0) & kind(X0))) [ennf tr... | 0 |
If mary is either not brave or happy then john is curious or tall and vice versa.
Everyone who is not kind is both humble and not calm.
If paul is strong or wise then someone is wise or quiet.
Everyone who is both not old and not kind is both not calm and tall.
If alice is brave then someone is both not humble and not ... | Paul is not kind. | contradiction | (((~brave(mary)<~>happy(mary)))<=>((curious(john)|tall(john))))&
(![X]:(~kind(X)=>(humble(X)&~calm(X))))&
(((strong(paul)|wise(paul)))=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((~old(X)&~kind(X))=>(~calm(X)&tall(X))))&
((brave(alice))=>(?[X]:((~humble(X)&~creative(X)))))&
(![X]:(humble(X)=>(strong(X)&~humble(X))))&
(((happ... | ~kind(paul) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1043495828520097858127017
% SZS output start Proof for 1043495828520097858127017
2. ! [X0] : (~kind(X0) => (~calm(X0) & humble(X0))) [input p1]
6. ! [X0] : (humble(X0) => (~humble(X0) & strong(X0))) [input p5]
24. ~kind(paul) [input hypothesis]
27. ! [X0] : ((~calm(X0) & humble(X0)) | kin... | 0 |
If someone is not calm or quiet then alice is either not generous or not rich.
If mary is either not brave or funny then someone is happy.
If john is tall then someone is not rich or wise and vice versa.
If someone is either not patient or strong then someone is kind.
Everyone who is either strong or funny is generous ... | Alice is happy. | entailment | ((?[X]:((~calm(X)|quiet(X))))=>((~generous(alice)<~>~rich(alice))))&
(((~brave(mary)<~>funny(mary)))=>(?[X]:(happy(X))))&
((tall(john))<=>(?[X]:((~rich(X)|wise(X)))))&
((?[X]:((~patient(X)<~>strong(X))))=>(?[X]:(kind(X))))&
(![X]:((strong(X)<~>funny(X))<=>(generous(X)|calm(X))))&
(![X]:((~creative(X)&~rich(X))=>(old(X)... | happy(alice) | [
"p0",
"p14",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4483174572263447562447339
% SZS output start Proof for 4483174572263447562447339
1. ? [X0] : (quiet(X0) | ~calm(X0)) => (~generous(alice) <~> ~rich(alice)) [input p0]
15. ! [X0] : ((~happy(X0) <~> ~rich(X0)) <=> (quiet(X0) & happy(X0))) [input p14]
19. calm(mary) & quiet(mary) [input p18]... | 0 |
Everyone who is either humble or not humble is kind.
Everyone who is quiet is both creative and tall.
Everyone who is brave or not patient is either rich or curious and vice versa.
If alice is not curious then fred is not wise or wise.
Everyone who is happy is either not quiet or calm.
If alice is not tall or not gener... | John is not tall. | entailment | (![X]:((humble(X)<~>~humble(X))=>kind(X)))&
(![X]:(quiet(X)=>(creative(X)&tall(X))))&
(![X]:((brave(X)|~patient(X))<=>(rich(X)<~>curious(X))))&
((~curious(alice))=>((~wise(fred)|wise(fred))))&
(![X]:(happy(X)=>(~quiet(X)<~>calm(X))))&
(((~tall(alice)|~generous(alice)))<=>(?[X]:(rich(X))))&
(![X]:((~patient(X)|patient(X... | ~tall(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3041763773044296683910238
% SZS output start Proof for 3041763773044296683910238
7. ! [X0] : ((patient(X0) | ~patient(X0)) => (~quiet(X0) & ~tall(X0))) [input p6]
25. tall(john) [input hypothesis]
35. ! [X0] : ((~quiet(X0) & ~tall(X0)) | (~patient(X0) & patient(X0))) [ennf transformation ... | 0 |
Everyone who is not curious or not strong is either brave or generous. Everyone who is not calm or not patient is not kind or wise. Everyone who is not wise or humble is not wise or tall and vice versa. Everyone who is not kind is happy or old and vice versa. If mary is not calm or rich then someone is either not kind ... | Lucy is creative. | neutral | (![X]:((~curious(X)|~strong(X))=>(brave(X)<~>generous(X))))&
(![X]:((~calm(X)|~patient(X))=>(~kind(X)|wise(X))))&
(![X]:((~wise(X)|humble(X))<=>(~wise(X)|tall(X))))&
(![X]:(~kind(X)<=>(happy(X)|old(X))))&
(((~calm(mary)|rich(mary)))=>(?[X]:((~kind(X)<~>~calm(X)))))&
(((curious(alice)<~>~old(alice)))=>(?[X]:((~rich(X)<~... | creative(lucy) | [] | null | 0 |
If someone is not curious or quiet then mary is not quiet. If someone is patient or wise then someone is funny or not happy and vice versa. If lucy is not creative or funny then someone is not wise. Everyone who is either not funny or patient is not quiet or not curious and vice versa. Everyone who is not humble is not... | Mary is brave. | contradiction | ((?[X]:((~curious(X)|quiet(X))))=>(~quiet(mary)))&
((?[X]:((patient(X)|wise(X))))<=>(?[X]:((funny(X)|~happy(X)))))&
(((~creative(lucy)|funny(lucy)))=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)<~>patient(X))<=>(~quiet(X)|~curious(X))))&
(![X]:(~humble(X)<=>(~tall(X)|~brave(X))))&
(((funny(mary)&tall(mary)))<=>(?[X]:(~tall(X)... | brave(mary) | [
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 223150033988215833591254
% SZS output start Proof for 223150033988215833591254
5. ! [X0] : (~humble(X0) <=> (~brave(X0) | ~tall(X0))) [input p4]
6. (tall(mary) & funny(mary)) <=> ? [X0] : ~tall(X0) [input p5]
9. ! [X0] : ((humble(X0) <~> ~tall(X0)) => (brave(X0) <~> tall(X0))) [input p8]
... | 0 |
Everyone who is old is either creative or not wise.
If someone is not happy or wise then lucy is not strong.
Everyone who is both brave and not happy is not humble and vice versa.
Everyone who is either not generous or happy is not tall and vice versa.
If lucy is tall then someone is either not tall or kind and vice ve... | Lucy is not brave. | entailment | (![X]:(old(X)=>(creative(X)<~>~wise(X))))&
((?[X]:((~happy(X)|wise(X))))=>(~strong(lucy)))&
(![X]:((brave(X)&~happy(X))<=>~humble(X)))&
(![X]:((~generous(X)<~>happy(X))<=>~tall(X)))&
((tall(lucy))<=>(?[X]:((~tall(X)<~>kind(X)))))&
((?[X]:((~wise(X)|~strong(X))))=>(?[X]:((~rich(X)|~happy(X)))))&
(![X]:((humble(X)&~kind(... | ~brave(lucy) | [
"p2",
"p3",
"p4",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6763542842986215632954581
% SZS output start Proof for 6763542842986215632954581
3. ! [X0] : ((~happy(X0) & brave(X0)) <=> ~humble(X0)) [input p2]
4. ! [X0] : ((~generous(X0) <~> happy(X0)) <=> ~tall(X0)) [input p3]
5. tall(lucy) <=> ? [X0] : (~tall(X0) <~> kind(X0)) [input p4]
7. ! [X0] ... | 0 |
If someone is wise or not kind then someone is both generous and tall and vice versa. If john is brave or strong then someone is not quiet. Everyone who is either not quiet or not strong is either happy or not kind and vice versa. If someone is not generous then fred is rich. If someone is both not patient and tall the... | Fred is creative. | entailment | ((?[X]:((wise(X)|~kind(X))))<=>(?[X]:((generous(X)&tall(X)))))&
(((brave(john)|strong(john)))=>(?[X]:(~quiet(X))))&
(![X]:((~quiet(X)<~>~strong(X))<=>(happy(X)<~>~kind(X))))&
((?[X]:(~generous(X)))=>(rich(fred)))&
((?[X]:((~patient(X)&tall(X))))=>((~humble(mary)&~generous(mary))))&
(![X]:((~calm(X)|rich(X))<=>(funny(X)... | creative(fred) | [
"p8",
"p12",
"p14",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4726218027278709102889130
% SZS output start Proof for 4726218027278709102889130
9. ! [X0] : ((creative(X0) & ~creative(X0)) <=> tall(X0)) [input p8]
13. ! [X0] : ((~old(X0) | ~calm(X0)) => (tall(X0) & wise(X0))) [input p12]
15. (funny(fred) <~> ~creative(fred)) => ? [X0] : (funny(X0) & ~... | 0 |
Everyone who is kind is both not strong and not creative and vice versa.
Everyone who is tall is both not rich and not kind and vice versa.
Everyone who is both strong and old is strong or patient.
If someone is both not funny and not tall then someone is both not calm and quiet.
If susan is both generous and patient t... | Alice is not brave. | neutral | (![X]:(kind(X)<=>(~strong(X)&~creative(X))))&
(![X]:(tall(X)<=>(~rich(X)&~kind(X))))&
(![X]:((strong(X)&old(X))=>(strong(X)|patient(X))))&
((?[X]:((~funny(X)&~tall(X))))=>(?[X]:((~calm(X)&quiet(X)))))&
(((generous(susan)&patient(susan)))<=>((quiet(lucy)|funny(lucy))))&
(![X]:((~wise(X)<~>~funny(X))<=>(funny(X)<~>~tall(... | ~brave(alice) | [] | null | 0 |
Everyone who is creative or brave is either curious or not creative and vice versa. If someone is calm then john is not humble and vice versa. If someone is quiet or old then someone is both not tall and calm. Everyone who is not wise is either strong or not quiet and vice versa. Everyone who is both curious and genero... | John is tall. | contradiction | (![X]:((creative(X)|brave(X))<=>(curious(X)<~>~creative(X))))&
((?[X]:(calm(X)))<=>(~humble(john)))&
((?[X]:((quiet(X)|old(X))))=>(?[X]:((~tall(X)&calm(X)))))&
(![X]:(~wise(X)<=>(strong(X)<~>~quiet(X))))&
(![X]:((curious(X)&generous(X))<=>(funny(X)|~strong(X))))&
(![X]:((~tall(X)<~>strong(X))=>(~curious(X)&funny(X))))&... | tall(john) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5339456914959550115495686
% SZS output start Proof for 5339456914959550115495686
1. ! [X0] : ((brave(X0) | creative(X0)) <=> (curious(X0) <~> ~creative(X0))) [input p0]
2. ? [X0] : calm(X0) <=> ~humble(john) [input p1]
5. ! [X0] : ((generous(X0) & curious(X0)) <=> (~strong(X0) | funny(X0)... | 0 |
If someone is not humble then susan is either not happy or not brave and vice versa. If alice is both not rich and rich then john is either not quiet or not calm. If someone is either funny or strong then fred is humble and vice versa. If someone is both not happy and not creative then susan is either funny or not humb... | Mary is not generous. | entailment | ((?[X]:(~humble(X)))<=>((~happy(susan)<~>~brave(susan))))&
(((~rich(alice)&rich(alice)))=>((~quiet(john)<~>~calm(john))))&
((?[X]:((funny(X)<~>strong(X))))<=>(humble(fred)))&
((?[X]:((~happy(X)&~creative(X))))<=>((funny(susan)<~>~humble(susan))))&
((?[X]:((patient(X)&~creative(X))))<=>((quiet(paul)<~>calm(paul))))&
((?... | ~generous(mary) | [
"p9",
"p10",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8288609333492760399894991
% SZS output start Proof for 8288609333492760399894991
10. ! [X0] : ((wise(X0) | calm(X0)) => ~patient(X0)) [input p9]
11. ! [X0] : ((~humble(X0) | curious(X0)) => (humble(X0) & ~happy(X0))) [input p10]
14. (~humble(john) | rich(john)) <=> (generous(mary) | creat... | 0 |
If fred is quiet or patient then someone is not curious or wise and vice versa.
If mary is either curious or not creative then someone is either wise or not funny and vice versa.
If someone is not rich then mary is both not rich and not strong and vice versa.
If mary is both not brave and not creative then someone is n... | Lucy is not kind. | contradiction | (((quiet(fred)|patient(fred)))<=>(?[X]:((~curious(X)|wise(X)))))&
(((curious(mary)<~>~creative(mary)))<=>(?[X]:((wise(X)<~>~funny(X)))))&
((?[X]:(~rich(X)))<=>((~rich(mary)&~strong(mary))))&
(((~brave(mary)&~creative(mary)))=>(?[X]:(~rich(X))))&
(((~old(alice)<~>~funny(alice)))<=>((generous(fred)&wise(fred))))&
(((~pat... | ~kind(lucy) | [
"p5",
"p7",
"p10",
"p11",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6838096808499190378314040
% SZS output start Proof for 6838096808499190378314040
6. (~patient(paul) <~> ~generous(paul)) <=> (~rich(mary) & ~humble(mary)) [input p5]
8. ? [X0] : (brave(X0) <~> ~funny(X0)) <=> ? [X0] : (curious(X0) & ~rich(X0)) [input p7]
11. ! [X0] : ((~brave(X0) <~> pati... | 0 |
Everyone who is not rich or humble is patient or wise.
If alice is tall or not patient then someone is both quiet and patient and vice versa.
Everyone who is not calm is both not patient and curious and vice versa.
If lucy is both not wise and wise then someone is wise or not quiet and vice versa.
Everyone who is both ... | Alice is not happy. | contradiction | (![X]:((~rich(X)|humble(X))=>(patient(X)|wise(X))))&
(((tall(alice)|~patient(alice)))<=>(?[X]:((quiet(X)&patient(X)))))&
(![X]:(~calm(X)<=>(~patient(X)&curious(X))))&
(((~wise(lucy)&wise(lucy)))<=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:((~humble(X)&~tall(X))<=>(calm(X)&~funny(X))))&
(![X]:((curious(X)<~>~quiet(X))<=>(~ol... | ~happy(alice) | [
"p0",
"p2",
"p3",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6245380625222426392944080
% SZS output start Proof for 6245380625222426392944080
1. ! [X0] : ((humble(X0) | ~rich(X0)) => (wise(X0) | patient(X0))) [input p0]
3. ! [X0] : (~calm(X0) <=> (curious(X0) & ~patient(X0))) [input p2]
4. (wise(lucy) & ~wise(lucy)) <=> ? [X0] : (~quiet(X0) | wise(... | 0 |
If someone is either not creative or not old then mary is both creative and not patient and vice versa.
Everyone who is not generous is not quiet and vice versa.
Everyone who is either strong or not old is both not humble and strong.
If someone is not funny or not kind then someone is not creative and vice versa.
Every... | John is funny. | contradiction | ((?[X]:((~creative(X)<~>~old(X))))<=>((creative(mary)&~patient(mary))))&
(![X]:(~generous(X)<=>~quiet(X)))&
(![X]:((strong(X)<~>~old(X))=>(~humble(X)&strong(X))))&
((?[X]:((~funny(X)|~kind(X))))<=>(?[X]:(~creative(X))))&
(![X]:((~happy(X)|old(X))<=>(curious(X)<~>~creative(X))))&
((?[X]:(~brave(X)))<=>((tall(john)&~funn... | funny(john) | [
"p0",
"p5",
"p11",
"p14",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1361844729041302420802371
% SZS output start Proof for 1361844729041302420802371
1. ? [X0] : (~creative(X0) <~> ~old(X0)) <=> (~patient(mary) & creative(mary)) [input p0]
6. ? [X0] : ~brave(X0) <=> (~funny(john) & tall(john)) [input p5]
12. ! [X0] : ((creative(X0) | ~generous(X0)) <=> (cu... | 0 |
If someone is strong then someone is not rich or not kind.
Everyone who is strong is either not quiet or strong and vice versa.
If someone is either not curious or not happy then someone is patient.
Everyone who is both calm and not happy is both calm and not funny and vice versa.
Everyone who is patient or not generou... | Fred is not funny. | neutral | ((?[X]:(strong(X)))=>(?[X]:((~rich(X)|~kind(X)))))&
(![X]:(strong(X)<=>(~quiet(X)<~>strong(X))))&
((?[X]:((~curious(X)<~>~happy(X))))=>(?[X]:(patient(X))))&
(![X]:((calm(X)&~happy(X))<=>(calm(X)&~funny(X))))&
(![X]:((patient(X)|~generous(X))=>generous(X)))&
(![X]:(~quiet(X)=>(old(X)|rich(X))))&
(((~humble(john)|curious... | ~funny(fred) | [] | null | 0 |
If someone is creative or old then lucy is not brave and vice versa. Everyone who is either curious or not old is not old or strong and vice versa. Everyone who is kind or calm is either not happy or brave and vice versa. If someone is both not brave and quiet then someone is kind or brave and vice versa. Everyone who ... | Mary is not wise. | contradiction | ((?[X]:((creative(X)|old(X))))<=>(~brave(lucy)))&
(![X]:((curious(X)<~>~old(X))<=>(~old(X)|strong(X))))&
(![X]:((kind(X)|calm(X))<=>(~happy(X)<~>brave(X))))&
((?[X]:((~brave(X)&quiet(X))))<=>(?[X]:((kind(X)|brave(X)))))&
(![X]:((kind(X)&~happy(X))<=>(kind(X)|patient(X))))&
((?[X]:((~strong(X)&~curious(X))))=>(calm(fred... | ~wise(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6693759892162126570771190
% SZS output start Proof for 6693759892162126570771190
7. ! [X0] : ((~wise(X0) | humble(X0)) <=> (~calm(X0) & wise(X0))) [input p6]
23. ~wise(mary) [input hypothesis]
47. ! [X0] : (((~wise(X0) | humble(X0)) | (calm(X0) | ~wise(X0))) & ((~calm(X0) & wise(X0)) | (w... | 0 |
If paul is not curious then lucy is not strong.
If someone is either not curious or not happy then paul is both not tall and tall and vice versa.
If alice is not funny or not quiet then mary is either happy or brave and vice versa.
If someone is creative then paul is both not old and kind and vice versa.
Everyone who i... | Paul is creative. | entailment | ((~curious(paul))=>(~strong(lucy)))&
((?[X]:((~curious(X)<~>~happy(X))))<=>((~tall(paul)&tall(paul))))&
(((~funny(alice)|~quiet(alice)))<=>((happy(mary)<~>brave(mary))))&
((?[X]:(creative(X)))<=>((~old(paul)&kind(paul))))&
(![X]:(brave(X)<=>(~creative(X)<~>brave(X))))&
(![X]:((~brave(X)&~kind(X))=>~funny(X)))&
(![X]:((... | creative(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 809648867900940074178435
% SZS output start Proof for 809648867900940074178435
5. ! [X0] : (brave(X0) <=> (~creative(X0) <~> brave(X0))) [input p4]
23. ~creative(paul) [input hypothesis]
47. ! [X0] : ((brave(X0) | ((~creative(X0) | ~brave(X0)) & (brave(X0) | creative(X0)))) & (((~brave(X0... | 0 |
If lucy is strong or not generous then someone is funny.
If paul is curious then susan is either not happy or funny and vice versa.
Everyone who is either not brave or not kind is quiet.
Everyone who is not patient is both patient and not humble and vice versa.
If john is either quiet or curious then someone is either ... | Alice is patient. | entailment | (((strong(lucy)|~generous(lucy)))=>(?[X]:(funny(X))))&
((curious(paul))<=>((~happy(susan)<~>funny(susan))))&
(![X]:((~brave(X)<~>~kind(X))=>quiet(X)))&
(![X]:(~patient(X)<=>(patient(X)&~humble(X))))&
(((quiet(john)<~>curious(john)))=>(?[X]:((strong(X)<~>~happy(X)))))&
(![X]:((tall(X)|calm(X))<=>(curious(X)&~generous(X)... | patient(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1912827734918510748125907
% SZS output start Proof for 1912827734918510748125907
4. ! [X0] : (~patient(X0) <=> (~humble(X0) & patient(X0))) [input p3]
22. ~patient(alice) [input hypothesis]
39. ! [X0] : ((~patient(X0) | (humble(X0) | ~patient(X0))) & ((~humble(X0) & patient(X0)) | patient... | 0 |
If fred is both calm and not humble then susan is either calm or patient and vice versa.
Everyone who is not old or not brave is both patient and not happy.
If paul is either calm or not curious then someone is either wise or not generous.
Everyone who is both happy and not rich is both generous and quiet.
Everyone who... | Lucy is generous. | contradiction | (((calm(fred)&~humble(fred)))<=>((calm(susan)<~>patient(susan))))&
(![X]:((~old(X)|~brave(X))=>(patient(X)&~happy(X))))&
(((calm(paul)<~>~curious(paul)))=>(?[X]:((wise(X)<~>~generous(X)))))&
(![X]:((happy(X)&~rich(X))=>(generous(X)&quiet(X))))&
(![X]:((~rich(X)<~>tall(X))<=>(~quiet(X)<~>rich(X))))&
(((~calm(paul)<~>hap... | generous(lucy) | [
"p1",
"p4",
"p6",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 404668847648307571864581
% SZS output start Proof for 404668847648307571864581
2. ! [X0] : ((~brave(X0) | ~old(X0)) => (~happy(X0) & patient(X0))) [input p1]
5. ! [X0] : ((~rich(X0) <~> tall(X0)) <=> (~quiet(X0) <~> rich(X0))) [input p4]
7. ! [X0] : (~quiet(X0) => (~tall(X0) & ~generous(X... | 0 |
If someone is rich or not humble then alice is happy.
Everyone who is either not patient or not generous is funny or not generous.
If someone is either not creative or not strong then someone is either not creative or patient and vice versa.
If someone is both calm and not brave then lucy is curious or not calm and vic... | Susan is not creative. | entailment | ((?[X]:((rich(X)|~humble(X))))=>(happy(alice)))&
(![X]:((~patient(X)<~>~generous(X))=>(funny(X)|~generous(X))))&
((?[X]:((~creative(X)<~>~strong(X))))<=>(?[X]:((~creative(X)<~>patient(X)))))&
((?[X]:((calm(X)&~brave(X))))<=>((curious(lucy)|~calm(lucy))))&
(![X]:((~patient(X)&~quiet(X))<=>(old(X)|happy(X))))&
(![X]:((~c... | ~creative(susan) | [
"p1",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5633969912634569160345986
% SZS output start Proof for 5633969912634569160345986
2. ! [X0] : ((~patient(X0) <~> ~generous(X0)) => (~generous(X0) | funny(X0))) [input p1]
6. ! [X0] : ((generous(X0) | ~calm(X0)) <=> (creative(X0) <~> funny(X0))) [input p5]
10. ! [X0] : ((patient(X0) | ~gene... | 0 |
If someone is rich then john is both happy and strong.
If someone is not kind then someone is tall and vice versa.
If someone is strong or humble then someone is quiet and vice versa.
Everyone who is both not quiet and not generous is old or generous.
Everyone who is tall or calm is both not patient and not kind and vi... | Susan is old. | entailment | ((?[X]:(rich(X)))=>((happy(john)&strong(john))))&
((?[X]:(~kind(X)))<=>(?[X]:(tall(X))))&
((?[X]:((strong(X)|humble(X))))<=>(?[X]:(quiet(X))))&
(![X]:((~quiet(X)&~generous(X))=>(old(X)|generous(X))))&
(![X]:((tall(X)|calm(X))<=>(~patient(X)&~kind(X))))&
(((~quiet(john)&~rich(john)))=>((~curious(susan)|~strong(susan))))... | old(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6022018582335925440453397
% SZS output start Proof for 6022018582335925440453397
16. ? [X0] : (tall(X0) | ~old(X0)) <=> (funny(fred) & ~funny(fred)) [input p15]
25. ~old(susan) [input hypothesis]
68. (? [X0] : (tall(X0) | ~old(X0)) | (~funny(fred) | funny(fred))) & ((funny(fred) & ~funny(... | 0 |
If fred is either quiet or calm then someone is either calm or brave and vice versa.
Everyone who is not happy or not strong is either not calm or not brave.
If someone is either kind or not old then lucy is either not old or rich and vice versa.
Everyone who is tall or not calm is not calm or not quiet and vice versa.... | Paul is generous. | neutral | (((quiet(fred)<~>calm(fred)))<=>(?[X]:((calm(X)<~>brave(X)))))&
(![X]:((~happy(X)|~strong(X))=>(~calm(X)<~>~brave(X))))&
((?[X]:((kind(X)<~>~old(X))))<=>((~old(lucy)<~>rich(lucy))))&
(![X]:((tall(X)|~calm(X))<=>(~calm(X)|~quiet(X))))&
(((kind(alice)<~>strong(alice)))<=>(?[X]:(curious(X))))&
(![X]:((~patient(X)<~>happy(... | generous(paul) | [] | null | 0 |
Everyone who is either wise or not humble is both not quiet and not wise. If someone is both kind and not calm then someone is not calm and vice versa. If mary is either not kind or not patient then fred is rich. Everyone who is not calm is either creative or not rich. Everyone who is not humble or not patient is not c... | John is not creative. | neutral | (![X]:((wise(X)<~>~humble(X))=>(~quiet(X)&~wise(X))))&
((?[X]:((kind(X)&~calm(X))))<=>(?[X]:(~calm(X))))&
(((~kind(mary)<~>~patient(mary)))=>(rich(fred)))&
(![X]:(~calm(X)=>(creative(X)<~>~rich(X))))&
(![X]:((~humble(X)|~patient(X))=>(~calm(X)|strong(X))))&
((~curious(lucy))=>((funny(fred)<~>~funny(fred))))&
(![X]:(hap... | ~creative(john) | [] | null | 0 |
Everyone who is not rich is either calm or not generous.
Everyone who is either calm or quiet is creative and vice versa.
Everyone who is either rich or not happy is not creative.
If mary is both not happy and not old then someone is humble or tall and vice versa.
Everyone who is either not curious or old is not patien... | Alice is not tall. | neutral | (![X]:(~rich(X)=>(calm(X)<~>~generous(X))))&
(![X]:((calm(X)<~>quiet(X))<=>creative(X)))&
(![X]:((rich(X)<~>~happy(X))=>~creative(X)))&
(((~happy(mary)&~old(mary)))<=>(?[X]:((humble(X)|tall(X)))))&
(![X]:((~curious(X)<~>old(X))<=>~patient(X)))&
(((~brave(john)|~wise(john)))<=>(?[X]:(generous(X))))&
((?[X]:(~wise(X)))=>... | ~tall(alice) | [] | null | 0 |
Everyone who is both not rich and not tall is both not strong and not calm.
If mary is not quiet then someone is not humble.
If mary is both generous and not kind then paul is wise and vice versa.
If alice is not rich then john is not brave.
Everyone who is either not wise or not curious is either not rich or happy and... | Susan is old. | neutral | (![X]:((~rich(X)&~tall(X))=>(~strong(X)&~calm(X))))&
((~quiet(mary))=>(?[X]:(~humble(X))))&
(((generous(mary)&~kind(mary)))<=>(wise(paul)))&
((~rich(alice))=>(~brave(john)))&
(![X]:((~wise(X)<~>~curious(X))<=>(~rich(X)<~>happy(X))))&
(![X]:(~tall(X)<=>(calm(X)|funny(X))))&
(![X]:(~rich(X)=>(~strong(X)<~>~brave(X))))&
(... | old(susan) | [] | null | 0 |
Everyone who is not curious or not funny is not happy and vice versa. If someone is both not humble and wise then mary is tall and vice versa. If someone is either quiet or humble then mary is not humble or wise and vice versa. Everyone who is both not tall and strong is brave or not generous and vice versa. Everyone w... | Susan is generous. | entailment | (![X]:((~curious(X)|~funny(X))<=>~happy(X)))&
((?[X]:((~humble(X)&wise(X))))<=>(tall(mary)))&
((?[X]:((quiet(X)<~>humble(X))))<=>((~humble(mary)|wise(mary))))&
(![X]:((~tall(X)&strong(X))<=>(brave(X)|~generous(X))))&
(![X]:((~calm(X)<~>~happy(X))=>(happy(X)|rich(X))))&
(![X]:((tall(X)|~kind(X))=>(humble(X)&~calm(X))))&... | generous(susan) | [
"p3",
"p6",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6593516710000188705356269
% SZS output start Proof for 6593516710000188705356269
4. ! [X0] : ((strong(X0) & ~tall(X0)) <=> (~generous(X0) | brave(X0))) [input p3]
7. ! [X0] : ((~curious(X0) | funny(X0)) <=> (~creative(X0) & ~wise(X0))) [input p6]
10. ! [X0] : ((~calm(X0) <~> ~funny(X0)) <... | 0 |
Everyone who is not brave is either curious or not old and vice versa. Everyone who is not calm or not creative is not humble or not curious. If someone is not curious or generous then alice is either not curious or tall. Everyone who is not funny or not calm is curious or not old and vice versa. Everyone who is both n... | John is calm. | neutral | (![X]:(~brave(X)<=>(curious(X)<~>~old(X))))&
(![X]:((~calm(X)|~creative(X))=>(~humble(X)|~curious(X))))&
((?[X]:((~curious(X)|generous(X))))=>((~curious(alice)<~>tall(alice))))&
(![X]:((~funny(X)|~calm(X))<=>(curious(X)|~old(X))))&
(![X]:((~brave(X)&curious(X))<=>~curious(X)))&
(![X]:((~patient(X)|~generous(X))<=>(~cre... | calm(john) | [] | null | 0 |
Everyone who is both not patient and not strong is not humble or not quiet. If someone is either happy or strong then fred is curious or brave and vice versa. Everyone who is not rich is not tall or not wise. Everyone who is calm is both not quiet and calm and vice versa. If someone is both quiet and funny then someone... | Fred is patient. | neutral | (![X]:((~patient(X)&~strong(X))=>(~humble(X)|~quiet(X))))&
((?[X]:((happy(X)<~>strong(X))))<=>((curious(fred)|brave(fred))))&
(![X]:(~rich(X)=>(~tall(X)|~wise(X))))&
(![X]:(calm(X)<=>(~quiet(X)&calm(X))))&
((?[X]:((quiet(X)&funny(X))))<=>(?[X]:(brave(X))))&
((?[X]:(generous(X)))<=>(~curious(mary)))&
(![X]:((strong(X)|f... | patient(fred) | [] | null | 0 |
If paul is both kind and not rich then someone is both rich and not tall.
If someone is both creative and tall then susan is tall and vice versa.
Everyone who is both not calm and not old is patient and vice versa.
Everyone who is both patient and not curious is either happy or not quiet and vice versa.
If someone is f... | Alice is generous. | neutral | (((kind(paul)&~rich(paul)))=>(?[X]:((rich(X)&~tall(X)))))&
((?[X]:((creative(X)&tall(X))))<=>(tall(susan)))&
(![X]:((~calm(X)&~old(X))<=>patient(X)))&
(![X]:((patient(X)&~curious(X))<=>(happy(X)<~>~quiet(X))))&
((?[X]:((funny(X)|quiet(X))))<=>(?[X]:((rich(X)&creative(X)))))&
(![X]:(~patient(X)=>(~strong(X)<~>~creative(... | generous(alice) | [] | null | 0 |
Everyone who is both not old and patient is tall or kind.
Everyone who is both happy and humble is both humble and not kind.
If lucy is not kind then someone is not tall.
If paul is tall or not old then someone is not happy.
Everyone who is kind is either funny or not happy.
If paul is humble then paul is both quiet an... | Susan is not brave. | neutral | (![X]:((~old(X)&patient(X))=>(tall(X)|kind(X))))&
(![X]:((happy(X)&humble(X))=>(humble(X)&~kind(X))))&
((~kind(lucy))=>(?[X]:(~tall(X))))&
(((tall(paul)|~old(paul)))=>(?[X]:(~happy(X))))&
(![X]:(kind(X)=>(funny(X)<~>~happy(X))))&
((humble(paul))<=>((quiet(paul)&~curious(paul))))&
(![X]:(~brave(X)=>(~strong(X)&~calm(X))... | ~brave(susan) | [] | null | 0 |
Everyone who is not calm or calm is either not quiet or not strong. Everyone who is not patient or funny is calm or old. If john is not creative then susan is funny. Everyone who is not calm or not brave is not patient or not kind and vice versa. Everyone who is not tall is either not old or not rich. If susan is eithe... | Paul is brave. | entailment | (![X]:((~calm(X)|calm(X))=>(~quiet(X)<~>~strong(X))))&
(![X]:((~patient(X)|funny(X))=>(calm(X)|old(X))))&
((~creative(john))=>(funny(susan)))&
(![X]:((~calm(X)|~brave(X))<=>(~patient(X)|~kind(X))))&
(![X]:(~tall(X)=>(~old(X)<~>~rich(X))))&
(((~calm(susan)<~>~quiet(susan)))<=>(?[X]:(strong(X))))&
(((old(fred)<~>~old(fre... | brave(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8342814075724607235152754
% SZS output start Proof for 8342814075724607235152754
7. (old(fred) <~> ~old(fred)) => brave(paul) [input p6]
25. ~brave(paul) [input hypothesis]
31. brave(paul) | (old(fred) <=> ~old(fred)) [ennf transformation 7]
48. brave(paul) | ((old(fred) | old(fred)) & (~... | 0 |
If someone is not quiet or not creative then someone is not rich. Everyone who is both strong and creative is not quiet and vice versa. If someone is both not strong and funny then paul is either humble or not tall and vice versa. Everyone who is kind is not funny and vice versa. Everyone who is old is either calm or s... | Alice is not happy. | neutral | ((?[X]:((~quiet(X)|~creative(X))))=>(?[X]:(~rich(X))))&
(![X]:((strong(X)&creative(X))<=>~quiet(X)))&
((?[X]:((~strong(X)&funny(X))))<=>((humble(paul)<~>~tall(paul))))&
(![X]:(kind(X)<=>~funny(X)))&
(![X]:(old(X)=>(calm(X)<~>strong(X))))&
((?[X]:(~wise(X)))=>(?[X]:(humble(X))))&
(![X]:((~quiet(X)|~creative(X))=>(calm(X... | ~happy(alice) | [] | null | 0 |
If someone is tall or kind then alice is both not patient and not strong and vice versa. Everyone who is both not quiet and not curious is kind or curious and vice versa. If someone is old then fred is not humble and vice versa. Everyone who is tall is generous and vice versa. If someone is both curious and funny then ... | Susan is not happy. | neutral | ((?[X]:((tall(X)|kind(X))))<=>((~patient(alice)&~strong(alice))))&
(![X]:((~quiet(X)&~curious(X))<=>(kind(X)|curious(X))))&
((?[X]:(old(X)))<=>(~humble(fred)))&
(![X]:(tall(X)<=>generous(X)))&
((?[X]:((curious(X)&funny(X))))<=>(?[X]:((curious(X)<~>~humble(X)))))&
(((~wise(paul)&~kind(paul)))<=>(?[X]:((~rich(X)|~calm(X)... | ~happy(susan) | [] | null | 0 |
Everyone who is calm or kind is either old or not generous.
Everyone who is either kind or not happy is both not happy and humble and vice versa.
Everyone who is both not happy and not wise is not old and vice versa.
Everyone who is old or not strong is either patient or not creative.
If mary is humble then lucy is not... | John is brave. | neutral | (![X]:((calm(X)|kind(X))=>(old(X)<~>~generous(X))))&
(![X]:((kind(X)<~>~happy(X))<=>(~happy(X)&humble(X))))&
(![X]:((~happy(X)&~wise(X))<=>~old(X)))&
(![X]:((old(X)|~strong(X))=>(patient(X)<~>~creative(X))))&
((humble(mary))<=>(~curious(lucy)))&
(![X]:(~calm(X)<=>~wise(X)))&
((?[X]:((strong(X)&creative(X))))<=>((old(jo... | brave(john) | [] | null | 0 |
Everyone who is both old and happy is both not happy and humble and vice versa.
If john is not wise or patient then john is not brave.
If alice is not wise then someone is patient or not generous.
If mary is both not funny and not brave then someone is not strong or not patient and vice versa.
Everyone who is rich is n... | Fred is calm. | neutral | (![X]:((old(X)&happy(X))<=>(~happy(X)&humble(X))))&
(((~wise(john)|patient(john)))=>(~brave(john)))&
((~wise(alice))=>(?[X]:((patient(X)|~generous(X)))))&
(((~funny(mary)&~brave(mary)))<=>(?[X]:((~strong(X)|~patient(X)))))&
(![X]:(rich(X)=>(~old(X)|~wise(X))))&
(![X]:((~tall(X)&~kind(X))<=>(~calm(X)&old(X))))&
(![X]:(~... | calm(fred) | [] | null | 0 |
Everyone who is funny or not kind is both creative and not happy. Everyone who is both wise and not calm is not creative or calm. Everyone who is old is funny. Everyone who is creative or old is generous and vice versa. Everyone who is both not rich and tall is both not curious and not wise. If mary is either calm or n... | Lucy is generous. | entailment | (![X]:((funny(X)|~kind(X))=>(creative(X)&~happy(X))))&
(![X]:((wise(X)&~calm(X))=>(~creative(X)|calm(X))))&
(![X]:(old(X)=>funny(X)))&
(![X]:((creative(X)|old(X))<=>generous(X)))&
(![X]:((~rich(X)&tall(X))=>(~curious(X)&~wise(X))))&
(((calm(mary)<~>~wise(mary)))<=>(?[X]:((tall(X)<~>old(X)))))&
((?[X]:(~humble(X)))<=>(?... | generous(lucy) | [
"p0",
"p2",
"p3",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5795532787213167192202329
% SZS output start Proof for 5795532787213167192202329
1. ! [X0] : ((~kind(X0) | funny(X0)) => (~happy(X0) & creative(X0))) [input p0]
3. ! [X0] : (old(X0) => funny(X0)) [input p2]
4. ! [X0] : ((old(X0) | creative(X0)) <=> generous(X0)) [input p3]
10. ! [X0] : ((... | 0 |
If someone is both patient and wise then someone is both tall and not curious.
Everyone who is funny is either wise or old and vice versa.
Everyone who is either wise or calm is not creative and vice versa.
If john is either not rich or brave then someone is both not quiet and not generous and vice versa.
If paul is fu... | Fred is not humble. | contradiction | ((?[X]:((patient(X)&wise(X))))=>(?[X]:((tall(X)&~curious(X)))))&
(![X]:(funny(X)<=>(wise(X)<~>old(X))))&
(![X]:((wise(X)<~>calm(X))<=>~creative(X)))&
(((~rich(john)<~>brave(john)))<=>(?[X]:((~quiet(X)&~generous(X)))))&
((funny(paul))<=>((~funny(paul)|wise(paul))))&
(![X]:((quiet(X)<~>~creative(X))<=>quiet(X)))&
((?[X]:... | ~humble(fred) | [
"p3",
"p5",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1080906900842374939349304
% SZS output start Proof for 1080906900842374939349304
4. (~rich(john) <~> brave(john)) <=> ? [X0] : (~generous(X0) & ~quiet(X0)) [input p3]
6. ! [X0] : ((quiet(X0) <~> ~creative(X0)) <=> quiet(X0)) [input p5]
8. ? [X0] : (quiet(X0) <~> rich(X0)) => (~rich(fred) ... | 0 |
If someone is both not tall and generous then alice is either not curious or not funny and vice versa.
If someone is either not generous or tall then someone is rich and vice versa.
Everyone who is brave is both happy and strong.
Everyone who is both not funny and not curious is not funny or not creative and vice versa... | Paul is not funny. | neutral | ((?[X]:((~tall(X)&generous(X))))<=>((~curious(alice)<~>~funny(alice))))&
((?[X]:((~generous(X)<~>tall(X))))<=>(?[X]:(rich(X))))&
(![X]:(brave(X)=>(happy(X)&strong(X))))&
(![X]:((~funny(X)&~curious(X))<=>(~funny(X)|~creative(X))))&
(![X]:((funny(X)<~>~brave(X))<=>~rich(X)))&
(![X]:((~creative(X)|tall(X))<=>~quiet(X)))&
... | ~funny(paul) | [] | null | 0 |
If someone is not kind then someone is either funny or not strong and vice versa.
Everyone who is either rich or not calm is old or not creative.
Everyone who is not humble is either not quiet or wise and vice versa.
If lucy is both generous and not patient then susan is both rich and not rich and vice versa.
If fred i... | Alice is wise. | neutral | ((?[X]:(~kind(X)))<=>(?[X]:((funny(X)<~>~strong(X)))))&
(![X]:((rich(X)<~>~calm(X))=>(old(X)|~creative(X))))&
(![X]:(~humble(X)<=>(~quiet(X)<~>wise(X))))&
(((generous(lucy)&~patient(lucy)))<=>((rich(susan)&~rich(susan))))&
(((humble(fred)|strong(fred)))=>((quiet(john)|strong(john))))&
((?[X]:((~rich(X)<~>wise(X))))<=>(... | wise(alice) | [] | null | 0 |
If someone is curious or not old then someone is happy or creative and vice versa.
If someone is generous then john is both quiet and not rich and vice versa.
If lucy is not curious then paul is either humble or old.
Everyone who is tall is both not curious and kind and vice versa.
If lucy is quiet or tall then susan i... | Susan is strong. | contradiction | ((?[X]:((curious(X)|~old(X))))<=>(?[X]:((happy(X)|creative(X)))))&
((?[X]:(generous(X)))<=>((quiet(john)&~rich(john))))&
((~curious(lucy))=>((humble(paul)<~>old(paul))))&
(![X]:(tall(X)<=>(~curious(X)&kind(X))))&
(((quiet(lucy)|tall(lucy)))=>((humble(susan)|~patient(susan))))&
(((~calm(john)<~>~strong(john)))<=>(?[X]:(... | strong(susan) | [
"p1",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4903463491907353713435440
% SZS output start Proof for 4903463491907353713435440
2. ? [X0] : generous(X0) <=> (~rich(john) & quiet(john)) [input p1]
9. ! [X0] : ((~wise(X0) & ~quiet(X0)) <=> (quiet(X0) | strong(X0))) [input p8]
14. ? [X0] : strong(X0) <=> (quiet(john) | generous(john)) [i... | 0 |
If alice is either not quiet or not brave then someone is not creative or old and vice versa. If fred is either not funny or not strong then fred is funny and vice versa. Everyone who is both not patient and not tall is either not funny or not strong and vice versa. If mary is both kind and not calm then mary is not ge... | Fred is creative. | contradiction | (((~quiet(alice)<~>~brave(alice)))<=>(?[X]:((~creative(X)|old(X)))))&
(((~funny(fred)<~>~strong(fred)))<=>(funny(fred)))&
(![X]:((~patient(X)&~tall(X))<=>(~funny(X)<~>~strong(X))))&
(((kind(mary)&~calm(mary)))=>((~generous(mary)|old(mary))))&
((?[X]:((~happy(X)&funny(X))))<=>(?[X]:((wise(X)<~>rich(X)))))&
(![X]:((creat... | creative(fred) | [
"p1",
"p2",
"p7",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7645303809675996786742514
% SZS output start Proof for 7645303809675996786742514
2. (~funny(fred) <~> ~strong(fred)) <=> funny(fred) [input p1]
3. ! [X0] : ((~tall(X0) & ~patient(X0)) <=> (~funny(X0) <~> ~strong(X0))) [input p2]
8. ! [X0] : ((~rich(X0) & ~curious(X0)) <=> (funny(X0) <~> c... | 0 |
If someone is creative or not curious then someone is either not patient or calm and vice versa.
Everyone who is not creative or not funny is either not tall or not curious.
Everyone who is humble or tall is both wise and not brave and vice versa.
If lucy is rich then alice is either not kind or quiet and vice versa.
I... | Paul is not old. | neutral | ((?[X]:((creative(X)|~curious(X))))<=>(?[X]:((~patient(X)<~>calm(X)))))&
(![X]:((~creative(X)|~funny(X))=>(~tall(X)<~>~curious(X))))&
(![X]:((humble(X)|tall(X))<=>(wise(X)&~brave(X))))&
((rich(lucy))<=>((~kind(alice)<~>quiet(alice))))&
((funny(john))<=>(curious(fred)))&
((?[X]:((~wise(X)&generous(X))))=>(?[X]:((generou... | ~old(paul) | [] | null | 0 |
Everyone who is either not funny or not old is tall and vice versa.
If john is not tall then someone is either not calm or quiet.
Everyone who is not kind is not funny.
If lucy is either kind or quiet then someone is both generous and not patient.
Everyone who is not rich or not creative is not humble and vice versa.
I... | John is wise. | entailment | (![X]:((~funny(X)<~>~old(X))<=>tall(X)))&
((~tall(john))=>(?[X]:((~calm(X)<~>quiet(X)))))&
(![X]:(~kind(X)=>~funny(X)))&
(((kind(lucy)<~>quiet(lucy)))=>(?[X]:((generous(X)&~patient(X)))))&
(![X]:((~rich(X)|~creative(X))<=>~humble(X)))&
((?[X]:((~creative(X)&~generous(X))))<=>((~old(mary)|~kind(mary))))&
(![X]:((~humble... | wise(john) | [
"p6",
"p8",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6720018115923620081464110
% SZS output start Proof for 6720018115923620081464110
7. ! [X0] : ((brave(X0) & ~humble(X0)) <=> (~quiet(X0) & wise(X0))) [input p6]
9. (rich(paul) & ~calm(paul)) <=> ? [X0] : humble(X0) [input p8]
11. ! [X0] : ((~humble(X0) | ~quiet(X0)) <=> (generous(X0) <~> ~... | 0 |
Everyone who is both calm and not generous is either creative or not calm. If someone is either rich or not generous then fred is quiet. If paul is quiet or patient then paul is not brave or patient and vice versa. Everyone who is both funny and generous is happy and vice versa. Everyone who is humble or not creative i... | Susan is not curious. | neutral | (![X]:((calm(X)&~generous(X))=>(creative(X)<~>~calm(X))))&
((?[X]:((rich(X)<~>~generous(X))))=>(quiet(fred)))&
(((quiet(paul)|patient(paul)))<=>((~brave(paul)|patient(paul))))&
(![X]:((funny(X)&generous(X))<=>happy(X)))&
(![X]:((humble(X)|~creative(X))=>calm(X)))&
(![X]:((wise(X)&~patient(X))=>(curious(X)&~curious(X)))... | ~curious(susan) | [] | null | 0 |
Everyone who is not happy or patient is kind.
If someone is not generous then someone is both patient and not funny.
Everyone who is both not wise and not funny is not quiet.
Everyone who is either not old or not strong is both not curious and wise.
If someone is both not old and not wise then lucy is rich or not quiet... | John is not kind. | contradiction | (![X]:((~happy(X)|patient(X))=>kind(X)))&
((?[X]:(~generous(X)))=>(?[X]:((patient(X)&~funny(X)))))&
(![X]:((~wise(X)&~funny(X))=>~quiet(X)))&
(![X]:((~old(X)<~>~strong(X))=>(~curious(X)&wise(X))))&
((?[X]:((~old(X)&~wise(X))))<=>((rich(lucy)|~quiet(lucy))))&
((?[X]:((~rich(X)|~tall(X))))=>((brave(mary)&~funny(mary))))&... | ~kind(john) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 468796819215885038472149
% SZS output start Proof for 468796819215885038472149
1. ! [X0] : ((patient(X0) | ~happy(X0)) => kind(X0)) [input p0]
12. ! [X0] : ((old(X0) & ~old(X0)) <=> (creative(X0) | happy(X0))) [input p11]
22. ~kind(john) [input hypothesis]
24. ! [X0] : (kind(X0) | (~patie... | 0 |
If john is not patient then someone is not brave or not humble and vice versa.
If someone is either not calm or rich then someone is not kind.
Everyone who is not generous is not funny or not creative.
Everyone who is either not creative or not patient is either curious or not calm and vice versa.
Everyone who is eithe... | John is patient. | contradiction | ((~patient(john))<=>(?[X]:((~brave(X)|~humble(X)))))&
((?[X]:((~calm(X)<~>rich(X))))=>(?[X]:(~kind(X))))&
(![X]:(~generous(X)=>(~funny(X)|~creative(X))))&
(![X]:((~creative(X)<~>~patient(X))<=>(curious(X)<~>~calm(X))))&
(![X]:((~strong(X)<~>humble(X))=>patient(X)))&
((?[X]:((kind(X)|happy(X))))=>((funny(lucy)&~humble(l... | patient(john) | [
"p0",
"p5",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2908317343198777525335372
% SZS output start Proof for 2908317343198777525335372
1. ~patient(john) <=> ? [X0] : (~humble(X0) | ~brave(X0)) [input p0]
6. ? [X0] : (happy(X0) | kind(X0)) => (~humble(lucy) & funny(lucy)) [input p5]
8. ? [X0] : (creative(X0) | old(X0)) <=> ~brave(fred) [input... | 0 |
Everyone who is both not strong and not tall is not tall or funny and vice versa.
Everyone who is both not generous and wise is both old and not tall.
Everyone who is either quiet or old is generous.
Everyone who is humble is not kind.
Everyone who is either kind or not wise is either humble or not patient.
Everyone wh... | Lucy is not curious. | neutral | (![X]:((~strong(X)&~tall(X))<=>(~tall(X)|funny(X))))&
(![X]:((~generous(X)&wise(X))=>(old(X)&~tall(X))))&
(![X]:((quiet(X)<~>old(X))=>generous(X)))&
(![X]:(humble(X)=>~kind(X)))&
(![X]:((kind(X)<~>~wise(X))=>(humble(X)<~>~patient(X))))&
(![X]:((~strong(X)<~>funny(X))=>rich(X)))&
((?[X]:((funny(X)<~>~brave(X))))=>(?[X]:... | ~curious(lucy) | [] | null | 0 |
If paul is both humble and patient then someone is wise.
If lucy is not humble then fred is either not kind or generous.
Everyone who is not calm or not happy is not creative or tall.
Everyone who is not curious is both patient and not strong and vice versa.
If fred is funny then someone is either patient or humble.
If... | Alice is not strong. | contradiction | (((humble(paul)&patient(paul)))=>(?[X]:(wise(X))))&
((~humble(lucy))=>((~kind(fred)<~>generous(fred))))&
(![X]:((~calm(X)|~happy(X))=>(~creative(X)|tall(X))))&
(![X]:(~curious(X)<=>(patient(X)&~strong(X))))&
((funny(fred))=>(?[X]:((patient(X)<~>humble(X)))))&
(((happy(lucy)&~quiet(lucy)))=>(?[X]:((happy(X)&calm(X)))))&... | ~strong(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3328798092382234085725463
% SZS output start Proof for 3328798092382234085725463
16. ! [X0] : ((strong(X0) & funny(X0)) <=> (~strong(X0) | rich(X0))) [input p15]
23. ~strong(alice) [input hypothesis]
56. ! [X0] : (((strong(X0) & funny(X0)) | (strong(X0) & ~rich(X0))) & ((~strong(X0) | ric... | 0 |
Everyone who is both generous and brave is both humble and happy.
If someone is either generous or not happy then paul is both wise and not rich and vice versa.
Everyone who is creative or tall is either brave or not strong and vice versa.
Everyone who is calm or not creative is not brave or kind and vice versa.
Everyo... | Mary is generous. | neutral | (![X]:((generous(X)&brave(X))=>(humble(X)&happy(X))))&
((?[X]:((generous(X)<~>~happy(X))))<=>((wise(paul)&~rich(paul))))&
(![X]:((creative(X)|tall(X))<=>(brave(X)<~>~strong(X))))&
(![X]:((calm(X)|~creative(X))<=>(~brave(X)|kind(X))))&
(![X]:((old(X)|brave(X))=>curious(X)))&
(![X]:((patient(X)<~>humble(X))=>~rich(X)))&
... | generous(mary) | [] | null | 0 |
If susan is either brave or tall then someone is not rich.
If fred is kind or not curious then fred is both not funny and not rich.
Everyone who is quiet is both not wise and funny and vice versa.
If susan is either funny or old then someone is either not funny or not creative and vice versa.
If someone is either rich ... | Fred is not rich. | neutral | (((brave(susan)<~>tall(susan)))=>(?[X]:(~rich(X))))&
(((kind(fred)|~curious(fred)))=>((~funny(fred)&~rich(fred))))&
(![X]:(quiet(X)<=>(~wise(X)&funny(X))))&
(((funny(susan)<~>old(susan)))<=>(?[X]:((~funny(X)<~>~creative(X)))))&
((?[X]:((rich(X)<~>~generous(X))))=>((~funny(susan)<~>kind(susan))))&
(![X]:(~old(X)=>~wise(... | ~rich(fred) | [] | null | 0 |
Everyone who is funny is not calm and vice versa.
Everyone who is strong or not tall is both tall and not kind and vice versa.
If lucy is old or calm then alice is both calm and patient and vice versa.
Everyone who is not kind is not quiet and vice versa.
If someone is both not tall and curious then alice is old or hum... | Fred is creative. | entailment | (![X]:(funny(X)<=>~calm(X)))&
(![X]:((strong(X)|~tall(X))<=>(tall(X)&~kind(X))))&
(((old(lucy)|calm(lucy)))<=>((calm(alice)&patient(alice))))&
(![X]:(~kind(X)<=>~quiet(X)))&
((?[X]:((~tall(X)&curious(X))))=>((old(alice)|humble(alice))))&
(![X]:((creative(X)&~calm(X))=>(humble(X)&~old(X))))&
((?[X]:((~creative(X)<~>~hum... | creative(fred) | [
"p1",
"p6",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2046015126463109535732256
% SZS output start Proof for 2046015126463109535732256
2. ! [X0] : ((~tall(X0) | strong(X0)) <=> (~kind(X0) & tall(X0))) [input p1]
7. ? [X0] : (~creative(X0) <~> ~humble(X0)) <=> (~rich(alice) & ~humble(alice)) [input p6]
9. ? [X0] : ~rich(X0) => ? [X0] : ~tall(... | 0 |
Everyone who is either not strong or not rich is both old and not patient and vice versa. If someone is both quiet and tall then someone is not humble or not strong. If fred is either curious or humble then someone is calm or rich and vice versa. Everyone who is not happy is both rich and brave. Everyone who is both no... | Lucy is old. | entailment | (![X]:((~strong(X)<~>~rich(X))<=>(old(X)&~patient(X))))&
((?[X]:((quiet(X)&tall(X))))=>(?[X]:((~humble(X)|~strong(X)))))&
(((curious(fred)<~>humble(fred)))<=>(?[X]:((calm(X)|rich(X)))))&
(![X]:(~happy(X)=>(rich(X)&brave(X))))&
(![X]:((~creative(X)&~wise(X))<=>(quiet(X)|~patient(X))))&
(![X]:((wise(X)<~>~wise(X))=>(rich... | old(lucy) | [
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6562550479590848958872459
% SZS output start Proof for 6562550479590848958872459
5. ! [X0] : ((~wise(X0) & ~creative(X0)) <=> (~patient(X0) | quiet(X0))) [input p4]
11. ! [X0] : (~quiet(X0) => (old(X0) | ~creative(X0))) [input p10]
13. ! [X0] : ((strong(X0) | ~creative(X0)) => old(X0)) [i... | 0 |
If mary is creative or not wise then mary is tall or old.
Everyone who is both not strong and rich is both not generous and not old.
Everyone who is both kind and not rich is either not calm or not happy.
Everyone who is not old is either wise or humble and vice versa.
Everyone who is either not tall or not wise is not... | Mary is curious. | neutral | (((creative(mary)|~wise(mary)))=>((tall(mary)|old(mary))))&
(![X]:((~strong(X)&rich(X))=>(~generous(X)&~old(X))))&
(![X]:((kind(X)&~rich(X))=>(~calm(X)<~>~happy(X))))&
(![X]:(~old(X)<=>(wise(X)<~>humble(X))))&
(![X]:((~tall(X)<~>~wise(X))<=>(~wise(X)|~creative(X))))&
((~curious(mary))=>(?[X]:((~patient(X)|tall(X)))))&
... | curious(mary) | [] | null | 0 |
If someone is both humble and not calm then paul is either not happy or brave. Everyone who is both rich and brave is both not generous and not calm and vice versa. Everyone who is old is both not strong and creative. If susan is not funny then someone is either humble or not brave. Everyone who is not generous is not ... | Lucy is not kind. | entailment | ((?[X]:((humble(X)&~calm(X))))=>((~happy(paul)<~>brave(paul))))&
(![X]:((rich(X)&brave(X))<=>(~generous(X)&~calm(X))))&
(![X]:(old(X)=>(~strong(X)&creative(X))))&
((~funny(susan))=>(?[X]:((humble(X)<~>~brave(X)))))&
(![X]:(~generous(X)=>~creative(X)))&
(((happy(fred)|humble(fred)))=>(?[X]:((~funny(X)|wise(X)))))&
(![X]... | ~kind(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 503512021841871121928588
% SZS output start Proof for 503512021841871121928588
11. ! [X0] : (~kind(X0) <=> (~kind(X0) | kind(X0))) [input p10]
22. kind(lucy) [input hypothesis]
42. ! [X0] : ((~kind(X0) | (kind(X0) & ~kind(X0))) & ((~kind(X0) | kind(X0)) | kind(X0))) [nnf transformation 11... | 0 |
If someone is not old or humble then susan is both humble and kind. If someone is not happy then mary is both not strong and strong and vice versa. Everyone who is both not humble and curious is both not happy and wise and vice versa. Everyone who is not kind is both not kind and calm and vice versa. Everyone who is no... | Alice is happy. | entailment | ((?[X]:((~old(X)|humble(X))))=>((humble(susan)&kind(susan))))&
((?[X]:(~happy(X)))<=>((~strong(mary)&strong(mary))))&
(![X]:((~humble(X)&curious(X))<=>(~happy(X)&wise(X))))&
(![X]:(~kind(X)<=>(~kind(X)&calm(X))))&
(![X]:((~generous(X)|curious(X))=>funny(X)))&
((?[X]:(generous(X)))<=>((~curious(lucy)<~>~humble(lucy))))&... | happy(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3485073467692054227759590
% SZS output start Proof for 3485073467692054227759590
2. ? [X0] : ~happy(X0) <=> (strong(mary) & ~strong(mary)) [input p1]
24. ~happy(alice) [input hypothesis]
37. (? [X0] : ~happy(X0) | (~strong(mary) | strong(mary))) & ((strong(mary) & ~strong(mary)) | ! [X0] ... | 0 |
Everyone who is not rich or tall is rich and vice versa.
If paul is both creative and tall then someone is brave or tall and vice versa.
Everyone who is both not rich and generous is curious or not patient and vice versa.
Everyone who is either old or not brave is either not strong or wise and vice versa.
Everyone who ... | Alice is not curious. | entailment | (![X]:((~rich(X)|tall(X))<=>rich(X)))&
(((creative(paul)&tall(paul)))<=>(?[X]:((brave(X)|tall(X)))))&
(![X]:((~rich(X)&generous(X))<=>(curious(X)|~patient(X))))&
(![X]:((old(X)<~>~brave(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((humble(X)&tall(X))=>(~generous(X)&~creative(X))))&
(![X]:((happy(X)|~rich(X))=>~calm(X)))&
(![... | ~curious(alice) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7361323173636127529913384
% SZS output start Proof for 7361323173636127529913384
1. ! [X0] : ((tall(X0) | ~rich(X0)) <=> rich(X0)) [input p0]
3. ! [X0] : ((generous(X0) & ~rich(X0)) <=> (~patient(X0) | curious(X0))) [input p2]
21. curious(alice) [input hypothesis]
34. ! [X0] : (((tall(X0)... | 0 |
Everyone who is both not calm and curious is both wise and tall.
If someone is both generous and not happy then someone is not strong.
If john is both not happy and happy then someone is kind or tall.
If fred is both not patient and brave then someone is both not quiet and wise.
Everyone who is not wise or not curious ... | John is calm. | contradiction | (![X]:((~calm(X)&curious(X))=>(wise(X)&tall(X))))&
((?[X]:((generous(X)&~happy(X))))=>(?[X]:(~strong(X))))&
(((~happy(john)&happy(john)))=>(?[X]:((kind(X)|tall(X)))))&
(((~patient(fred)&brave(fred)))=>(?[X]:((~quiet(X)&wise(X)))))&
(![X]:((~wise(X)|~curious(X))=>(~humble(X)|quiet(X))))&
(((~strong(fred)<~>~tall(fred)))... | calm(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8249271072312016481929998
% SZS output start Proof for 8249271072312016481929998
9. ! [X0] : ((~patient(X0) | calm(X0)) => ~calm(X0)) [input p8]
25. calm(john) [input hypothesis]
41. ! [X0] : (~calm(X0) | (patient(X0) & ~calm(X0))) [ennf transformation 9]
96. ~calm(X0) | ~calm(X0) [cnf tr... | 0 |
Everyone who is not curious is both not tall and quiet and vice versa. Everyone who is not generous is both not wise and not patient. If someone is not creative or not funny then paul is tall and vice versa. If susan is either old or not quiet then someone is old and vice versa. Everyone who is either not kind or curio... | Fred is patient. | contradiction | (![X]:(~curious(X)<=>(~tall(X)&quiet(X))))&
(![X]:(~generous(X)=>(~wise(X)&~patient(X))))&
((?[X]:((~creative(X)|~funny(X))))<=>(tall(paul)))&
(((old(susan)<~>~quiet(susan)))<=>(?[X]:(old(X))))&
(![X]:((~kind(X)<~>curious(X))=>(wise(X)|calm(X))))&
(![X]:((strong(X)|funny(X))=>brave(X)))&
(![X]:(~patient(X)=>(humble(X)<... | patient(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4495183745178537178146746
% SZS output start Proof for 4495183745178537178146746
8. ! [X0] : ((creative(X0) & ~creative(X0)) <=> (~curious(X0) | patient(X0))) [input p7]
24. patient(fred) [input hypothesis]
46. ! [X0] : (((creative(X0) & ~creative(X0)) | (curious(X0) & ~patient(X0))) & ((... | 0 |
Everyone who is not happy is humble. Everyone who is not generous is not humble. Everyone who is either not tall or not funny is both not strong and old. If lucy is rich then someone is old. If someone is not happy or not brave then someone is both not generous and creative and vice versa. If someone is curious then so... | Alice is not humble. | entailment | (![X]:(~happy(X)=>humble(X)))&
(![X]:(~generous(X)=>~humble(X)))&
(![X]:((~tall(X)<~>~funny(X))=>(~strong(X)&old(X))))&
((rich(lucy))=>(?[X]:(old(X))))&
((?[X]:((~happy(X)|~brave(X))))<=>(?[X]:((~generous(X)&creative(X)))))&
((?[X]:(curious(X)))<=>(?[X]:((~happy(X)&~kind(X)))))&
(![X]:((~happy(X)&~curious(X))<=>(~funny... | ~humble(alice) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 106771529531211089022151
% SZS output start Proof for 106771529531211089022151
22. ~humble(alice) & ~quiet(alice) [input p21]
25. humble(alice) [input hypothesis]
116. ~humble(alice) [cnf transformation 22]
120. humble(alice) [cnf transformation 25]
242. $false [subsumption resolution 120... | 0 |
Everyone who is both not rich and not wise is either curious or happy.
Everyone who is not kind or calm is not funny.
If someone is both tall and brave then someone is funny and vice versa.
If john is tall or quiet then susan is both humble and not generous.
Everyone who is not calm or humble is either not funny or bra... | Susan is funny. | contradiction | (![X]:((~rich(X)&~wise(X))=>(curious(X)<~>happy(X))))&
(![X]:((~kind(X)|calm(X))=>~funny(X)))&
((?[X]:((tall(X)&brave(X))))<=>(?[X]:(funny(X))))&
(((tall(john)|quiet(john)))=>((humble(susan)&~generous(susan))))&
(![X]:((~calm(X)|humble(X))<=>(~funny(X)<~>brave(X))))&
((?[X]:((~brave(X)&~curious(X))))=>(?[X]:((calm(X)<~... | funny(susan) | [
"p1",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 965199305149394462491135
% SZS output start Proof for 965199305149394462491135
2. ! [X0] : ((calm(X0) | ~kind(X0)) => ~funny(X0)) [input p1]
5. ! [X0] : ((humble(X0) | ~calm(X0)) <=> (~funny(X0) <~> brave(X0))) [input p4]
9. ! [X0] : ((~wise(X0) | kind(X0)) => (~brave(X0) & creative(X0)))... | 0 |
Everyone who is wise or quiet is both not tall and humble and vice versa.
Everyone who is both quiet and not brave is either not funny or brave and vice versa.
Everyone who is either funny or rich is happy.
If someone is not funny then someone is either not calm or not patient.
If mary is both happy and funny then some... | Fred is not wise. | neutral | (![X]:((wise(X)|quiet(X))<=>(~tall(X)&humble(X))))&
(![X]:((quiet(X)&~brave(X))<=>(~funny(X)<~>brave(X))))&
(![X]:((funny(X)<~>rich(X))=>happy(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~calm(X)<~>~patient(X)))))&
(((happy(mary)&funny(mary)))<=>(?[X]:((~kind(X)&creative(X)))))&
(![X]:((calm(X)<~>old(X))<=>(~patient(X)&patient(... | ~wise(fred) | [] | null | 0 |
Everyone who is humble or calm is both old and not curious and vice versa. Everyone who is generous or wise is both not happy and funny. Everyone who is generous or patient is not rich. Everyone who is calm or not funny is both wise and humble and vice versa. Everyone who is either creative or not brave is tall or not ... | John is quiet. | neutral | (![X]:((humble(X)|calm(X))<=>(old(X)&~curious(X))))&
(![X]:((generous(X)|wise(X))=>(~happy(X)&funny(X))))&
(![X]:((generous(X)|patient(X))=>~rich(X)))&
(![X]:((calm(X)|~funny(X))<=>(wise(X)&humble(X))))&
(![X]:((creative(X)<~>~brave(X))=>(tall(X)|~quiet(X))))&
((~strong(lucy))=>(?[X]:((brave(X)|funny(X)))))&
(((~funny(... | quiet(john) | [] | null | 0 |
If alice is both happy and not happy then someone is humble and vice versa.
Everyone who is either not funny or not patient is strong and vice versa.
Everyone who is generous is tall.
If someone is both not strong and not happy then someone is curious.
If alice is either not old or not quiet then fred is both not gener... | Lucy is not curious. | entailment | (((happy(alice)&~happy(alice)))<=>(?[X]:(humble(X))))&
(![X]:((~funny(X)<~>~patient(X))<=>strong(X)))&
(![X]:(generous(X)=>tall(X)))&
((?[X]:((~strong(X)&~happy(X))))=>(?[X]:(curious(X))))&
(((~old(alice)<~>~quiet(alice)))<=>((~generous(fred)&~strong(fred))))&
((?[X]:((~strong(X)|~creative(X))))=>((curious(susan)<~>~cr... | ~curious(lucy) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7696522625532608147358315
% SZS output start Proof for 7696522625532608147358315
7. ! [X0] : ((~patient(X0) | patient(X0)) <=> (patient(X0) & ~wise(X0))) [input p6]
10. ! [X0] : ((~curious(X0) & quiet(X0)) <=> (brave(X0) | ~wise(X0))) [input p9]
22. curious(lucy) [input hypothesis]
45. ! ... | 0 |
If mary is not brave then susan is funny or not calm and vice versa.
Everyone who is not happy or brave is either wise or not creative.
Everyone who is either not creative or strong is funny and vice versa.
If someone is not generous or not strong then someone is either not rich or humble.
Everyone who is not wise or n... | Susan is not funny. | entailment | ((~brave(mary))<=>((funny(susan)|~calm(susan))))&
(![X]:((~happy(X)|brave(X))=>(wise(X)<~>~creative(X))))&
(![X]:((~creative(X)<~>strong(X))<=>funny(X)))&
((?[X]:((~generous(X)|~strong(X))))=>(?[X]:((~rich(X)<~>humble(X)))))&
(![X]:((~wise(X)|~tall(X))=>(~curious(X)&~creative(X))))&
(![X]:((wise(X)&~creative(X))<=>(~pa... | ~funny(susan) | [
"p4",
"p6",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7453587858514254206299702
% SZS output start Proof for 7453587858514254206299702
5. ! [X0] : ((~tall(X0) | ~wise(X0)) => (~creative(X0) & ~curious(X0))) [input p4]
7. ? [X0] : (tall(X0) <~> ~quiet(X0)) <=> creative(susan) [input p6]
8. ! [X0] : ((creative(X0) | ~patient(X0)) <=> ~quiet(X0... | 0 |
If someone is either not calm or not generous then paul is either quiet or not quiet.
If fred is both curious and wise then alice is not generous or not funny and vice versa.
Everyone who is both calm and happy is not patient.
Everyone who is brave is humble and vice versa.
Everyone who is not strong or calm is either ... | John is happy. | entailment | ((?[X]:((~calm(X)<~>~generous(X))))=>((quiet(paul)<~>~quiet(paul))))&
(((curious(fred)&wise(fred)))<=>((~generous(alice)|~funny(alice))))&
(![X]:((calm(X)&happy(X))=>~patient(X)))&
(![X]:(brave(X)<=>humble(X)))&
(![X]:((~strong(X)|calm(X))<=>(brave(X)<~>generous(X))))&
((?[X]:(tall(X)))=>((curious(fred)<~>~old(fred))))... | happy(john) | [
"p6",
"p10",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 269406274786309274505246
% SZS output start Proof for 269406274786309274505246
7. ! [X0] : ((~wise(X0) & ~strong(X0)) <=> ~funny(X0)) [input p6]
11. ! [X0] : ((~curious(X0) & ~funny(X0)) <=> (generous(X0) & ~happy(X0))) [input p10]
15. ! [X0] : (~curious(X0) <=> (wise(X0) <~> funny(X0))) ... | 0 |
Everyone who is not funny or not brave is either happy or curious. Everyone who is not tall is not kind or rich and vice versa. Everyone who is either not old or not calm is funny or happy. Everyone who is either not creative or not rich is creative. If alice is both not kind and not tall then someone is both rich and ... | Lucy is funny. | entailment | (![X]:((~funny(X)|~brave(X))=>(happy(X)<~>curious(X))))&
(![X]:(~tall(X)<=>(~kind(X)|rich(X))))&
(![X]:((~old(X)<~>~calm(X))=>(funny(X)|happy(X))))&
(![X]:((~creative(X)<~>~rich(X))=>creative(X)))&
(((~kind(alice)&~tall(alice)))=>(?[X]:((rich(X)&~tall(X)))))&
(![X]:((~humble(X)<~>~happy(X))<=>brave(X)))&
(![X]:(funny(X... | funny(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6341145439834845813700289
% SZS output start Proof for 6341145439834845813700289
7. ! [X0] : (funny(X0) <=> (strong(X0) | ~funny(X0))) [input p6]
24. ~funny(lucy) [input hypothesis]
48. ! [X0] : ((funny(X0) | (~strong(X0) & funny(X0))) & ((strong(X0) | ~funny(X0)) | ~funny(X0))) [nnf tran... | 0 |
Everyone who is not wise is both not brave and not creative.
If someone is either wise or tall then someone is both not calm and quiet.
Everyone who is both not rich and not humble is either happy or not creative and vice versa.
If fred is both kind and not creative then someone is not patient.
If paul is both not wise... | Fred is patient. | entailment | (![X]:(~wise(X)=>(~brave(X)&~creative(X))))&
((?[X]:((wise(X)<~>tall(X))))=>(?[X]:((~calm(X)&quiet(X)))))&
(![X]:((~rich(X)&~humble(X))<=>(happy(X)<~>~creative(X))))&
(((kind(fred)&~creative(fred)))=>(?[X]:(~patient(X))))&
(((~wise(paul)&~brave(paul)))=>(?[X]:((strong(X)&~funny(X)))))&
((?[X]:((creative(X)|~curious(X))... | patient(fred) | [
"p7",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8256279593876461958887016
% SZS output start Proof for 8256279593876461958887016
8. ! [X0] : (~funny(X0) <=> (brave(X0) | funny(X0))) [input p7]
11. ! [X0] : (~tall(X0) <=> (rich(X0) | kind(X0))) [input p10]
15. ? [X0] : (brave(X0) & ~kind(X0)) => (~funny(fred) <~> ~patient(fred)) [input ... | 0 |
If mary is not wise or wise then alice is either not creative or not old.
If someone is wise then fred is either not brave or old.
If someone is either not wise or not happy then someone is both not funny and not brave.
If john is kind or not happy then someone is either not rich or brave.
If susan is both quiet and no... | Mary is funny. | contradiction | (((~wise(mary)|wise(mary)))=>((~creative(alice)<~>~old(alice))))&
((?[X]:(wise(X)))=>((~brave(fred)<~>old(fred))))&
((?[X]:((~wise(X)<~>~happy(X))))=>(?[X]:((~funny(X)&~brave(X)))))&
(((kind(john)|~happy(john)))=>(?[X]:((~rich(X)<~>brave(X)))))&
(((quiet(susan)&~kind(susan)))<=>(?[X]:((happy(X)<~>~patient(X)))))&
(![X]... | funny(mary) | [
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4811424081916997772935923
% SZS output start Proof for 4811424081916997772935923
8. ! [X0] : (happy(X0) <=> (~strong(X0) <~> ~funny(X0))) [input p7]
10. ! [X0] : ((happy(X0) | ~happy(X0)) => strong(X0)) [input p9]
14. ! [X0] : (happy(X0) <=> (~kind(X0) | ~happy(X0))) [input p13]
24. funny... | 0 |
Everyone who is either quiet or not happy is either not happy or brave. Everyone who is not kind is both quiet and not brave and vice versa. Everyone who is both strong and happy is rich or creative. If someone is both not old and not humble then lucy is creative. If someone is either not rich or not kind then someone ... | Paul is not creative. | neutral | (![X]:((quiet(X)<~>~happy(X))=>(~happy(X)<~>brave(X))))&
(![X]:(~kind(X)<=>(quiet(X)&~brave(X))))&
(![X]:((strong(X)&happy(X))=>(rich(X)|creative(X))))&
((?[X]:((~old(X)&~humble(X))))=>(creative(lucy)))&
((?[X]:((~rich(X)<~>~kind(X))))<=>(?[X]:(happy(X))))&
((?[X]:((~tall(X)|~generous(X))))=>(~brave(paul)))&
(![X]:((~p... | ~creative(paul) | [] | null | 0 |
If someone is not strong or generous then fred is not brave or funny.
If someone is not tall or not generous then mary is both strong and not wise and vice versa.
Everyone who is brave is either quiet or wise and vice versa.
Everyone who is kind is either not calm or curious.
Everyone who is not humble or not quiet is ... | Alice is quiet. | entailment | ((?[X]:((~strong(X)|generous(X))))=>((~brave(fred)|funny(fred))))&
((?[X]:((~tall(X)|~generous(X))))<=>((strong(mary)&~wise(mary))))&
(![X]:(brave(X)<=>(quiet(X)<~>wise(X))))&
(![X]:(kind(X)=>(~calm(X)<~>curious(X))))&
(![X]:((~humble(X)|~quiet(X))<=>kind(X)))&
(((wise(mary)&happy(mary)))<=>((generous(alice)|~humble(al... | quiet(alice) | [
"p1",
"p4",
"p5",
"p7",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4741811844301333137361025
% SZS output start Proof for 4741811844301333137361025
2. ? [X0] : (~generous(X0) | ~tall(X0)) <=> (~wise(mary) & strong(mary)) [input p1]
5. ! [X0] : ((~quiet(X0) | ~humble(X0)) <=> kind(X0)) [input p4]
6. (happy(mary) & wise(mary)) <=> (~humble(alice) | generou... | 0 |
Everyone who is either happy or not old is kind or not quiet and vice versa.
Everyone who is both not wise and not curious is kind or tall.
If fred is either not quiet or not generous then john is either creative or tall and vice versa.
Everyone who is both tall and not brave is either kind or not tall.
If mary is both... | Susan is quiet. | neutral | (![X]:((happy(X)<~>~old(X))<=>(kind(X)|~quiet(X))))&
(![X]:((~wise(X)&~curious(X))=>(kind(X)|tall(X))))&
(((~quiet(fred)<~>~generous(fred)))<=>((creative(john)<~>tall(john))))&
(![X]:((tall(X)&~brave(X))=>(kind(X)<~>~tall(X))))&
(((quiet(mary)&~patient(mary)))=>(?[X]:((~generous(X)|~rich(X)))))&
((?[X]:((~old(X)|humble... | quiet(susan) | [] | null | 0 |
Everyone who is old is not funny.
Everyone who is not tall or not quiet is both not quiet and not patient.
If someone is either not quiet or tall then someone is not tall or not brave and vice versa.
If someone is humble or not generous then susan is not creative.
Everyone who is not old or not wise is both kind and no... | Lucy is generous. | entailment | (![X]:(old(X)=>~funny(X)))&
(![X]:((~tall(X)|~quiet(X))=>(~quiet(X)&~patient(X))))&
((?[X]:((~quiet(X)<~>tall(X))))<=>(?[X]:((~tall(X)|~brave(X)))))&
((?[X]:((humble(X)|~generous(X))))=>(~creative(susan)))&
(![X]:((~old(X)|~wise(X))<=>(kind(X)&~curious(X))))&
(((~creative(mary)<~>happy(mary)))<=>(?[X]:(~patient(X))))&
... | generous(lucy) | [
"p0",
"p3",
"p4",
"p7",
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4761917887396598317982810
% SZS output start Proof for 4761917887396598317982810
1. ! [X0] : (old(X0) => ~funny(X0)) [input p0]
4. ? [X0] : (~generous(X0) | humble(X0)) => ~creative(susan) [input p3]
5. ! [X0] : ((~wise(X0) | ~old(X0)) <=> (~curious(X0) & kind(X0))) [input p4]
8. ! [X0] :... | 0 |
Everyone who is either not brave or not strong is not humble or not brave and vice versa.
If someone is either not rich or old then alice is not rich or not old and vice versa.
Everyone who is both not patient and humble is both not patient and not curious and vice versa.
If fred is kind or quiet then someone is either... | Alice is not funny. | contradiction | (![X]:((~brave(X)<~>~strong(X))<=>(~humble(X)|~brave(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>((~rich(alice)|~old(alice))))&
(![X]:((~patient(X)&humble(X))<=>(~patient(X)&~curious(X))))&
(((kind(fred)|quiet(fred)))<=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((strong(X)|funny(X))<=>quiet(X)))&
((?[X]:(~strong(X)))<=>(?[X... | ~funny(alice) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7501795027570148672441481
% SZS output start Proof for 7501795027570148672441481
9. ! [X0] : ((~wise(X0) | ~funny(X0)) => (~wise(X0) & strong(X0))) [input p8]
11. ! [X0] : ((tall(X0) & ~tall(X0)) <=> (~calm(X0) | ~wise(X0))) [input p10]
21. ~funny(alice) [input hypothesis]
26. ! [X0] : ((... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.