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 fred is not old then john is not patient or calm.
Everyone who is kind is not humble or not wise.
If someone is not generous then someone is not curious or not rich.
If lucy is generous then someone is not calm and vice versa.
If lucy is both not strong and wise then someone is either not funny or strong and vice ve... | Mary is not kind. | entailment | ((~old(fred))=>((~patient(john)|calm(john))))&
(![X]:(kind(X)=>(~humble(X)|~wise(X))))&
((?[X]:(~generous(X)))=>(?[X]:((~curious(X)|~rich(X)))))&
((generous(lucy))<=>(?[X]:(~calm(X))))&
(((~strong(lucy)&wise(lucy)))<=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((humble(X)&~strong(X))<=>(patient(X)|quiet(X))))&
(((~funny(... | ~kind(mary) | [
"p1",
"p5",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 390707221404875218837353
% SZS output start Proof for 390707221404875218837353
2. ! [X0] : (kind(X0) => (~wise(X0) | ~humble(X0))) [input p1]
6. ! [X0] : ((~strong(X0) & humble(X0)) <=> (quiet(X0) | patient(X0))) [input p5]
17. ~tall(mary) & wise(mary) [input p16]
24. patient(mary) [input... | 0 |
Everyone who is not strong or not curious is strong. If someone is generous or tall then susan is generous. If paul is either not wise or not curious then john is creative or not curious. Everyone who is either not old or not strong is both quiet and not funny and vice versa. If alice is not quiet then paul is not crea... | Susan is not tall. | contradiction | (![X]:((~strong(X)|~curious(X))=>strong(X)))&
((?[X]:((generous(X)|tall(X))))=>(generous(susan)))&
(((~wise(paul)<~>~curious(paul)))=>((creative(john)|~curious(john))))&
(![X]:((~old(X)<~>~strong(X))<=>(quiet(X)&~funny(X))))&
((~quiet(alice))=>(~creative(paul)))&
((?[X]:((~humble(X)|wise(X))))<=>(?[X]:((~quiet(X)|~crea... | ~tall(susan) | [
"p0",
"p1",
"p3",
"p8",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5047049819635904456894652
% SZS output start Proof for 5047049819635904456894652
1. ! [X0] : ((~curious(X0) | ~strong(X0)) => strong(X0)) [input p0]
2. ? [X0] : (tall(X0) | generous(X0)) => generous(susan) [input p1]
4. ! [X0] : ((~old(X0) <~> ~strong(X0)) <=> (~funny(X0) & quiet(X0))) [i... | 0 |
Everyone who is either not calm or calm is both not happy and not patient.
Everyone who is calm is curious.
If someone is old or creative then someone is both wise and not wise and vice versa.
If john is either not old or not curious then mary is both curious and strong and vice versa.
If someone is either rich or not ... | Paul is creative. | contradiction | (![X]:((~calm(X)<~>calm(X))=>(~happy(X)&~patient(X))))&
(![X]:(calm(X)=>curious(X)))&
((?[X]:((old(X)|creative(X))))<=>(?[X]:((wise(X)&~wise(X)))))&
(((~old(john)<~>~curious(john)))<=>((curious(mary)&strong(mary))))&
((?[X]:((rich(X)<~>~curious(X))))<=>(?[X]:((~patient(X)<~>~humble(X)))))&
(((generous(lucy)&calm(lucy))... | creative(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1364552110984579988763560
% SZS output start Proof for 1364552110984579988763560
3. ? [X0] : (creative(X0) | old(X0)) <=> ? [X0] : (~wise(X0) & wise(X0)) [input p2]
24. creative(paul) [input hypothesis]
25. ? [X0] : (creative(X0) | old(X0)) <=> ? [X1] : (~wise(X1) & wise(X1)) [rectify 3]
... | 0 |
If john is both creative and not happy then someone is both humble and not quiet and vice versa.
If susan is not brave then someone is both not wise and not tall and vice versa.
If lucy is either not generous or not old then someone is patient or not rich and vice versa.
Everyone who is not tall or quiet is not generou... | Lucy is not strong. | contradiction | (((creative(john)&~happy(john)))<=>(?[X]:((humble(X)&~quiet(X)))))&
((~brave(susan))<=>(?[X]:((~wise(X)&~tall(X)))))&
(((~generous(lucy)<~>~old(lucy)))<=>(?[X]:((patient(X)|~rich(X)))))&
(![X]:((~tall(X)|quiet(X))=>~generous(X)))&
(![X]:((humble(X)<~>curious(X))<=>(calm(X)&patient(X))))&
(![X]:((~quiet(X)&wise(X))=>bra... | ~strong(lucy) | [
"p2",
"p4",
"p6",
"p8",
"p10",
"p14",
"p15",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5658402699230786431680812
% SZS output start Proof for 5658402699230786431680812
3. (~generous(lucy) <~> ~old(lucy)) <=> ? [X0] : (~rich(X0) | patient(X0)) [input p2]
5. ! [X0] : ((humble(X0) <~> curious(X0)) <=> (patient(X0) & calm(X0))) [input p4]
7. ! [X0] : ((~old(X0) | ~curious(X0)) ... | 0 |
Everyone who is not quiet or not humble is both not curious and humble.
Everyone who is wise or not kind is brave.
Everyone who is not calm is both generous and not wise and vice versa.
Everyone who is either old or calm is brave and vice versa.
Everyone who is either not quiet or generous is not curious or generous.
E... | John is not wise. | entailment | (![X]:((~quiet(X)|~humble(X))=>(~curious(X)&humble(X))))&
(![X]:((wise(X)|~kind(X))=>brave(X)))&
(![X]:(~calm(X)<=>(generous(X)&~wise(X))))&
(![X]:((old(X)<~>calm(X))<=>brave(X)))&
(![X]:((~quiet(X)<~>generous(X))=>(~curious(X)|generous(X))))&
(![X]:((~humble(X)|curious(X))<=>(funny(X)&calm(X))))&
(![X]:((creative(X)|~... | ~wise(john) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p7",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6941291577522714240891399
% SZS output start Proof for 6941291577522714240891399
1. ! [X0] : ((~humble(X0) | ~quiet(X0)) => (humble(X0) & ~curious(X0))) [input p0]
2. ! [X0] : ((~kind(X0) | wise(X0)) => brave(X0)) [input p1]
3. ! [X0] : (~calm(X0) <=> (~wise(X0) & generous(X0))) [input p2... | 0 |
Everyone who is both quiet and tall is both not funny and not generous.
If someone is tall then someone is both not humble and wise and vice versa.
Everyone who is either funny or not patient is quiet or creative.
Everyone who is not quiet is not tall and vice versa.
If someone is both quiet and not curious then someon... | John is not strong. | contradiction | (![X]:((quiet(X)&tall(X))=>(~funny(X)&~generous(X))))&
((?[X]:(tall(X)))<=>(?[X]:((~humble(X)&wise(X)))))&
(![X]:((funny(X)<~>~patient(X))=>(quiet(X)|creative(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((?[X]:((quiet(X)&~curious(X))))=>(?[X]:((creative(X)&curious(X)))))&
(![X]:((~funny(X)&creative(X))<=>~curious(X)))&
((?[X... | ~strong(john) | [
"p3",
"p5",
"p7",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2357696246892851185646214
% SZS output start Proof for 2357696246892851185646214
4. ! [X0] : (~quiet(X0) <=> ~tall(X0)) [input p3]
6. ! [X0] : ((creative(X0) & ~funny(X0)) <=> ~curious(X0)) [input p5]
8. ! [X0] : ((strong(X0) & generous(X0)) <=> patient(X0)) [input p7]
10. ? [X0] : (~tall... | 0 |
If lucy is wise then fred is either kind or brave and vice versa.
Everyone who is either not calm or strong is both wise and not happy and vice versa.
Everyone who is creative is both creative and not strong and vice versa.
Everyone who is happy or curious is brave.
If mary is not curious then paul is not tall.
Everyon... | Paul is tall. | contradiction | ((wise(lucy))<=>((kind(fred)<~>brave(fred))))&
(![X]:((~calm(X)<~>strong(X))<=>(wise(X)&~happy(X))))&
(![X]:(creative(X)<=>(creative(X)&~strong(X))))&
(![X]:((happy(X)|curious(X))=>brave(X)))&
((~curious(mary))=>(~tall(paul)))&
(![X]:((~curious(X)&~happy(X))=>(~curious(X)<~>old(X))))&
(![X]:(happy(X)=>strong(X)))&
((~f... | tall(paul) | [
"p1",
"p6",
"p9",
"p13",
"p15",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7393205512134638707257839
% SZS output start Proof for 7393205512134638707257839
2. ! [X0] : ((~calm(X0) <~> strong(X0)) <=> (~happy(X0) & wise(X0))) [input p1]
7. ! [X0] : (happy(X0) => strong(X0)) [input p6]
10. ! [X0] : ((generous(X0) | tall(X0)) <=> calm(X0)) [input p9]
14. ! [X0] : (... | 0 |
If fred is strong then alice is both not rich and creative. If someone is either not calm or creative then someone is brave or calm. If someone is strong or not tall then someone is both not quiet and not humble and vice versa. If mary is humble then paul is either not curious or creative and vice versa. If alice is ei... | Mary is kind. | neutral | ((strong(fred))=>((~rich(alice)&creative(alice))))&
((?[X]:((~calm(X)<~>creative(X))))=>(?[X]:((brave(X)|calm(X)))))&
((?[X]:((strong(X)|~tall(X))))<=>(?[X]:((~quiet(X)&~humble(X)))))&
((humble(mary))<=>((~curious(paul)<~>creative(paul))))&
(((~strong(alice)<~>~curious(alice)))<=>(?[X]:((funny(X)|~old(X)))))&
(((funny(... | kind(mary) | [] | null | 0 |
Everyone who is brave or not humble is both not creative and not happy and vice versa.
If lucy is not tall then mary is not kind or not funny and vice versa.
Everyone who is either creative or not old is kind and vice versa.
If someone is either generous or not calm then paul is either tall or not kind and vice versa.
... | Mary is funny. | neutral | (![X]:((brave(X)|~humble(X))<=>(~creative(X)&~happy(X))))&
((~tall(lucy))<=>((~kind(mary)|~funny(mary))))&
(![X]:((creative(X)<~>~old(X))<=>kind(X)))&
((?[X]:((generous(X)<~>~calm(X))))<=>((tall(paul)<~>~kind(paul))))&
(![X]:((~happy(X)<~>~strong(X))=>(~creative(X)&strong(X))))&
((~kind(mary))<=>(~old(fred)))&
(((~happ... | funny(mary) | [] | null | 0 |
Everyone who is not tall or not calm is generous or not curious and vice versa. Everyone who is either not curious or generous is either not happy or not funny. If lucy is rich then alice is funny. Everyone who is generous is not strong or rich and vice versa. If someone is not rich or not funny then mary is kind. Ever... | Fred is not patient. | contradiction | (![X]:((~tall(X)|~calm(X))<=>(generous(X)|~curious(X))))&
(![X]:((~curious(X)<~>generous(X))=>(~happy(X)<~>~funny(X))))&
((rich(lucy))=>(funny(alice)))&
(![X]:(generous(X)<=>(~strong(X)|rich(X))))&
((?[X]:((~rich(X)|~funny(X))))=>(kind(mary)))&
(![X]:((quiet(X)|~generous(X))<=>(~creative(X)|happy(X))))&
(![X]:((~genero... | ~patient(fred) | [
"p4",
"p5",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 329530424618988170043667
% SZS output start Proof for 329530424618988170043667
5. ? [X0] : (~funny(X0) | ~rich(X0)) => kind(mary) [input p4]
6. ! [X0] : ((~generous(X0) | quiet(X0)) <=> (happy(X0) | ~creative(X0))) [input p5]
9. ? [X0] : (~happy(X0) | ~patient(X0)) => (~funny(mary) & ~hap... | 0 |
Everyone who is not calm or not tall is calm or not funny.
Everyone who is funny or brave is not kind or not happy and vice versa.
Everyone who is either not funny or not rich is both not quiet and curious.
If someone is not calm then someone is both not generous and old.
If someone is brave or strong then paul is eith... | Paul is not rich. | contradiction | (![X]:((~calm(X)|~tall(X))=>(calm(X)|~funny(X))))&
(![X]:((funny(X)|brave(X))<=>(~kind(X)|~happy(X))))&
(![X]:((~funny(X)<~>~rich(X))=>(~quiet(X)&curious(X))))&
((?[X]:(~calm(X)))=>(?[X]:((~generous(X)&old(X)))))&
((?[X]:((brave(X)|strong(X))))<=>((~calm(paul)<~>~quiet(paul))))&
(![X]:((old(X)<~>humble(X))=>(brave(X)&~... | ~rich(paul) | [
"p2",
"p7",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8772831959343889109958148
% SZS output start Proof for 8772831959343889109958148
3. ! [X0] : ((~funny(X0) <~> ~rich(X0)) => (curious(X0) & ~quiet(X0))) [input p2]
8. ! [X0] : (brave(X0) <=> (~quiet(X0) <~> ~creative(X0))) [input p7]
13. ! [X0] : ((~creative(X0) & funny(X0)) <=> curious(X0... | 0 |
If someone is both not old and not creative then someone is curious and vice versa.
If fred is both strong and not patient then john is both creative and not curious and vice versa.
Everyone who is kind is either not strong or generous and vice versa.
Everyone who is not patient is not curious or quiet and vice versa.
... | Paul is tall. | neutral | ((?[X]:((~old(X)&~creative(X))))<=>(?[X]:(curious(X))))&
(((strong(fred)&~patient(fred)))<=>((creative(john)&~curious(john))))&
(![X]:(kind(X)<=>(~strong(X)<~>generous(X))))&
(![X]:(~patient(X)<=>(~curious(X)|quiet(X))))&
(((wise(fred)&funny(fred)))<=>((~curious(fred)&~kind(fred))))&
(((~brave(mary)|~quiet(mary)))<=>((... | tall(paul) | [] | null | 0 |
Everyone who is rich is both not kind and happy.
Everyone who is tall is either generous or not brave.
If someone is both not calm and old then someone is either not wise or wise and vice versa.
Everyone who is either patient or curious is not generous and vice versa.
If lucy is not rich then susan is either patient or... | Alice is not old. | entailment | (![X]:(rich(X)=>(~kind(X)&happy(X))))&
(![X]:(tall(X)=>(generous(X)<~>~brave(X))))&
((?[X]:((~calm(X)&old(X))))<=>(?[X]:((~wise(X)<~>wise(X)))))&
(![X]:((patient(X)<~>curious(X))<=>~generous(X)))&
((~rich(lucy))<=>((patient(susan)<~>generous(susan))))&
((?[X]:(~curious(X)))<=>(?[X]:((~wise(X)<~>quiet(X)))))&
(![X]:((~h... | ~old(alice) | [
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 639556332048989010802124
% SZS output start Proof for 639556332048989010802124
9. ! [X0] : ((old(X0) | ~calm(X0)) => ~generous(X0)) [input p8]
23. generous(alice) [input p22]
25. old(alice) [input hypothesis]
32. ! [X0] : (~generous(X0) | (~old(X0) & calm(X0))) [ennf transformation 9]
99.... | 0 |
Everyone who is kind or not humble is either tall or strong.
If someone is happy then alice is both wise and not wise.
Everyone who is both not brave and rich is both not rich and kind and vice versa.
Everyone who is either not quiet or tall is either not funny or not patient.
If john is both not old and old then someo... | Mary is not old. | entailment | (![X]:((kind(X)|~humble(X))=>(tall(X)<~>strong(X))))&
((?[X]:(happy(X)))=>((wise(alice)&~wise(alice))))&
(![X]:((~brave(X)&rich(X))<=>(~rich(X)&kind(X))))&
(![X]:((~quiet(X)<~>tall(X))=>(~funny(X)<~>~patient(X))))&
(((~old(john)&old(john)))=>(?[X]:((old(X)&funny(X)))))&
(![X]:((~wise(X)|tall(X))=>~wise(X)))&
(((~strong... | ~old(mary) | [
"p0",
"p1",
"p6",
"p7",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8069267652469533296391979
% SZS output start Proof for 8069267652469533296391979
1. ! [X0] : ((~humble(X0) | kind(X0)) => (tall(X0) <~> strong(X0))) [input p0]
2. ? [X0] : happy(X0) => (~wise(alice) & wise(alice)) [input p1]
7. (humble(alice) & ~strong(alice)) <=> ? [X0] : (~calm(X0) <~> ... | 0 |
If susan is both quiet and not quiet then someone is either not strong or not patient and vice versa. Everyone who is both not curious and wise is either not quiet or not humble. Everyone who is happy or not rich is not calm or not wise and vice versa. If john is both not patient and not tall then someone is both not w... | Fred is quiet. | contradiction | (((quiet(susan)&~quiet(susan)))<=>(?[X]:((~strong(X)<~>~patient(X)))))&
(![X]:((~curious(X)&wise(X))=>(~quiet(X)<~>~humble(X))))&
(![X]:((happy(X)|~rich(X))<=>(~calm(X)|~wise(X))))&
(((~patient(john)&~tall(john)))=>(?[X]:((~wise(X)&brave(X)))))&
(![X]:((humble(X)|~calm(X))<=>old(X)))&
(![X]:((old(X)<~>~patient(X))=>(fu... | quiet(fred) | [
"p2",
"p4",
"p5",
"p7",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5386771240406453697436697
% SZS output start Proof for 5386771240406453697436697
3. ! [X0] : ((~rich(X0) | happy(X0)) <=> (~wise(X0) | ~calm(X0))) [input p2]
5. ! [X0] : ((~calm(X0) | humble(X0)) <=> old(X0)) [input p4]
6. ! [X0] : ((old(X0) <~> ~patient(X0)) => (~quiet(X0) & funny(X0))) ... | 0 |
Everyone who is old or not calm is not old or curious and vice versa.
If john is brave then john is either not kind or not curious and vice versa.
Everyone who is not creative is patient or brave and vice versa.
Everyone who is not quiet or strong is either curious or not calm.
Everyone who is either generous or kind i... | Alice is calm. | entailment | (![X]:((old(X)|~calm(X))<=>(~old(X)|curious(X))))&
((brave(john))<=>((~kind(john)<~>~curious(john))))&
(![X]:(~creative(X)<=>(patient(X)|brave(X))))&
(![X]:((~quiet(X)|strong(X))=>(curious(X)<~>~calm(X))))&
(![X]:((generous(X)<~>kind(X))=>(~quiet(X)<~>wise(X))))&
((?[X]:((~old(X)<~>~quiet(X))))<=>((~wise(susan)&~rich(s... | calm(alice) | [
"p3",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1582856973557777629348912
% SZS output start Proof for 1582856973557777629348912
4. ! [X0] : ((strong(X0) | ~quiet(X0)) => (curious(X0) <~> ~calm(X0))) [input p3]
11. ! [X0] : (~humble(X0) <=> (humble(X0) & ~humble(X0))) [input p10]
15. ! [X0] : (~humble(X0) <=> (~curious(X0) | brave(X0))... | 0 |
Everyone who is either calm or strong is both not brave and not curious. Everyone who is humble is rich or not strong and vice versa. Everyone who is rich or generous is brave or not happy. If susan is either strong or rich then fred is tall. If someone is quiet or not quiet then someone is generous. Everyone who is ei... | Paul is not happy. | entailment | (![X]:((calm(X)<~>strong(X))=>(~brave(X)&~curious(X))))&
(![X]:(humble(X)<=>(rich(X)|~strong(X))))&
(![X]:((rich(X)|generous(X))=>(brave(X)|~happy(X))))&
(((strong(susan)<~>rich(susan)))=>(tall(fred)))&
((?[X]:((quiet(X)|~quiet(X))))=>(?[X]:(generous(X))))&
(![X]:((kind(X)<~>~quiet(X))<=>(~patient(X)&~old(X))))&
(![X]:... | ~happy(paul) | [
"p1",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6592093617656225379587623
% SZS output start Proof for 6592093617656225379587623
2. ! [X0] : (humble(X0) <=> (~strong(X0) | rich(X0))) [input p1]
7. ! [X0] : (happy(X0) <=> rich(X0)) [input p6]
8. ! [X0] : ((generous(X0) | ~humble(X0)) <=> (~quiet(X0) | happy(X0))) [input p7]
11. ! [X0] :... | 0 |
If someone is either not generous or not creative then someone is both brave and not humble.
Everyone who is happy is not rich or happy.
Everyone who is wise is not curious or not quiet and vice versa.
Everyone who is both not creative and not curious is both not curious and not tall and vice versa.
Everyone who is eit... | Paul is not curious. | contradiction | ((?[X]:((~generous(X)<~>~creative(X))))=>(?[X]:((brave(X)&~humble(X)))))&
(![X]:(happy(X)=>(~rich(X)|happy(X))))&
(![X]:(wise(X)<=>(~curious(X)|~quiet(X))))&
(![X]:((~creative(X)&~curious(X))<=>(~curious(X)&~tall(X))))&
(![X]:((~calm(X)<~>~humble(X))=>(calm(X)<~>~strong(X))))&
(![X]:((~happy(X)|~patient(X))=>(~kind(X)<... | ~curious(paul) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p11",
"p14",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 705936551252898669510388
% SZS output start Proof for 705936551252898669510388
1. ? [X0] : (~generous(X0) <~> ~creative(X0)) => ? [X0] : (~humble(X0) & brave(X0)) [input p0]
3. ! [X0] : (wise(X0) <=> (~quiet(X0) | ~curious(X0))) [input p2]
4. ! [X0] : ((~curious(X0) & ~creative(X0)) <=> (... | 0 |
If john is quiet or not tall then mary is either not wise or creative and vice versa.
Everyone who is both quiet and rich is generous or funny and vice versa.
If mary is both wise and rich then someone is both not quiet and brave and vice versa.
Everyone who is curious or funny is not rich.
If someone is either not old... | Lucy is not calm. | neutral | (((quiet(john)|~tall(john)))<=>((~wise(mary)<~>creative(mary))))&
(![X]:((quiet(X)&rich(X))<=>(generous(X)|funny(X))))&
(((wise(mary)&rich(mary)))<=>(?[X]:((~quiet(X)&brave(X)))))&
(![X]:((curious(X)|funny(X))=>~rich(X)))&
((?[X]:((~old(X)<~>wise(X))))<=>(?[X]:((~humble(X)&tall(X)))))&
((?[X]:((generous(X)&~generous(X)... | ~calm(lucy) | [] | null | 0 |
Everyone who is either not quiet or not creative is not wise or calm and vice versa. Everyone who is not kind or calm is old or strong and vice versa. Everyone who is both not wise and generous is either humble or not wise and vice versa. If someone is not generous then john is either happy or not humble and vice versa... | Mary is rich. | contradiction | (![X]:((~quiet(X)<~>~creative(X))<=>(~wise(X)|calm(X))))&
(![X]:((~kind(X)|calm(X))<=>(old(X)|strong(X))))&
(![X]:((~wise(X)&generous(X))<=>(humble(X)<~>~wise(X))))&
((?[X]:(~generous(X)))<=>((happy(john)<~>~humble(john))))&
(![X]:((calm(X)&~curious(X))<=>(~happy(X)&calm(X))))&
((?[X]:((kind(X)<~>strong(X))))=>((tall(m... | rich(mary) | [
"p1",
"p5",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2334449037804169286557898
% SZS output start Proof for 2334449037804169286557898
2. ! [X0] : ((calm(X0) | ~kind(X0)) <=> (strong(X0) | old(X0))) [input p1]
6. ? [X0] : (kind(X0) <~> strong(X0)) => (~rich(mary) & tall(mary)) [input p5]
10. ! [X0] : ((~kind(X0) | funny(X0)) <=> (old(X0) <~>... | 0 |
Everyone who is either not rich or not calm is not rich and vice versa. Everyone who is either not old or not happy is not kind or not brave. Everyone who is humble or not quiet is not wise and vice versa. If someone is either brave or not generous then paul is either rich or not tall. If john is old then someone is ei... | Lucy is not tall. | neutral | (![X]:((~rich(X)<~>~calm(X))<=>~rich(X)))&
(![X]:((~old(X)<~>~happy(X))=>(~kind(X)|~brave(X))))&
(![X]:((humble(X)|~quiet(X))<=>~wise(X)))&
((?[X]:((brave(X)<~>~generous(X))))=>((rich(paul)<~>~tall(paul))))&
((old(john))<=>(?[X]:((~tall(X)<~>~generous(X)))))&
(![X]:(~creative(X)=>(~creative(X)&rich(X))))&
((kind(fred))... | ~tall(lucy) | [] | null | 0 |
Everyone who is generous or not wise is either not humble or old.
Everyone who is both not rich and creative is either not tall or not humble and vice versa.
If susan is both not brave and not curious then someone is humble and vice versa.
If alice is either not creative or quiet then paul is both calm and humble.
Ever... | Susan is not creative. | contradiction | (![X]:((generous(X)|~wise(X))=>(~humble(X)<~>old(X))))&
(![X]:((~rich(X)&creative(X))<=>(~tall(X)<~>~humble(X))))&
(((~brave(susan)&~curious(susan)))<=>(?[X]:(humble(X))))&
(((~creative(alice)<~>quiet(alice)))=>((calm(paul)&humble(paul))))&
(![X]:((~rich(X)|~funny(X))=>(~kind(X)<~>~old(X))))&
(((~old(john)|quiet(john))... | ~creative(susan) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 382584116891684605776009
% SZS output start Proof for 382584116891684605776009
2. ! [X0] : ((creative(X0) & ~rich(X0)) <=> (~tall(X0) <~> ~humble(X0))) [input p1]
10. ! [X0] : ((~humble(X0) & tall(X0)) <=> (patient(X0) | ~patient(X0))) [input p9]
22. ~creative(susan) [input hypothesis]
33... | 0 |
If john is humble or funny then someone is patient and vice versa.
If fred is funny or not old then someone is old and vice versa.
Everyone who is not calm is happy or not humble.
Everyone who is either rich or not tall is not funny and vice versa.
Everyone who is either not rich or old is not calm or not happy and vic... | John is not old. | contradiction | (((humble(john)|funny(john)))<=>(?[X]:(patient(X))))&
(((funny(fred)|~old(fred)))<=>(?[X]:(old(X))))&
(![X]:(~calm(X)=>(happy(X)|~humble(X))))&
(![X]:((rich(X)<~>~tall(X))<=>~funny(X)))&
(![X]:((~rich(X)<~>old(X))<=>(~calm(X)|~happy(X))))&
(![X]:((~calm(X)<~>~old(X))=>(~kind(X)&curious(X))))&
(![X]:((~generous(X)&~kind... | ~old(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6964472408731500725433711
% SZS output start Proof for 6964472408731500725433711
21. old(john) & ~humble(john) [input p20]
22. ~old(john) [input hypothesis]
128. old(john) [cnf transformation 21]
129. ~old(john) [cnf transformation 22]
244. $false [subsumption resolution 129,128]
% SZS ou... | 0 |
Everyone who is not strong is curious or not funny and vice versa.
If lucy is both quiet and strong then someone is either funny or creative and vice versa.
Everyone who is either not old or not humble is either brave or not curious.
If alice is calm or not curious then someone is not kind or patient.
If john is funny ... | Alice is creative. | entailment | (![X]:(~strong(X)<=>(curious(X)|~funny(X))))&
(((quiet(lucy)&strong(lucy)))<=>(?[X]:((funny(X)<~>creative(X)))))&
(![X]:((~old(X)<~>~humble(X))=>(brave(X)<~>~curious(X))))&
(((calm(alice)|~curious(alice)))=>(?[X]:((~kind(X)|patient(X)))))&
((funny(john))=>(?[X]:((~wise(X)|brave(X)))))&
(![X]:((~patient(X)&~humble(X))<=... | creative(alice) | [
"p0",
"p1",
"p9",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5826116177682622317483281
% SZS output start Proof for 5826116177682622317483281
1. ! [X0] : (~strong(X0) <=> (~funny(X0) | curious(X0))) [input p0]
2. (strong(lucy) & quiet(lucy)) <=> ? [X0] : (funny(X0) <~> creative(X0)) [input p1]
10. ! [X0] : ((~strong(X0) | tall(X0)) <=> (curious(X0)... | 0 |
Everyone who is not patient is either curious or tall and vice versa.
Everyone who is either not rich or not creative is either patient or not generous.
If fred is either not creative or creative then paul is both happy and strong and vice versa.
If john is rich or quiet then someone is both not strong and brave.
Every... | Fred is not generous. | neutral | (![X]:(~patient(X)<=>(curious(X)<~>tall(X))))&
(![X]:((~rich(X)<~>~creative(X))=>(patient(X)<~>~generous(X))))&
(((~creative(fred)<~>creative(fred)))<=>((happy(paul)&strong(paul))))&
(((rich(john)|quiet(john)))=>(?[X]:((~strong(X)&brave(X)))))&
(![X]:(~creative(X)=>(~calm(X)|~generous(X))))&
(![X]:(~kind(X)=>(rich(X)<~... | ~generous(fred) | [] | null | 0 |
If john is either rich or funny then paul is either humble or happy.
If someone is not kind then someone is not rich or not curious and vice versa.
If john is both not strong and not patient then lucy is either not patient or not tall and vice versa.
If someone is wise then paul is rich or not calm.
Everyone who is bot... | Paul is rich. | neutral | (((rich(john)<~>funny(john)))=>((humble(paul)<~>happy(paul))))&
((?[X]:(~kind(X)))<=>(?[X]:((~rich(X)|~curious(X)))))&
(((~strong(john)&~patient(john)))<=>((~patient(lucy)<~>~tall(lucy))))&
((?[X]:(wise(X)))=>((rich(paul)|~calm(paul))))&
(![X]:((kind(X)&~patient(X))<=>(~strong(X)|patient(X))))&
((?[X]:(~calm(X)))<=>(~f... | rich(paul) | [] | null | 0 |
Everyone who is both not quiet and generous is not happy or creative and vice versa.
Everyone who is calm is quiet and vice versa.
Everyone who is tall is either not happy or funny.
Everyone who is either brave or not patient is patient.
Everyone who is both quiet and not happy is either kind or not generous.
Everyone ... | Susan is not creative. | contradiction | (![X]:((~quiet(X)&generous(X))<=>(~happy(X)|creative(X))))&
(![X]:(calm(X)<=>quiet(X)))&
(![X]:(tall(X)=>(~happy(X)<~>funny(X))))&
(![X]:((brave(X)<~>~patient(X))=>patient(X)))&
(![X]:((quiet(X)&~happy(X))=>(kind(X)<~>~generous(X))))&
(![X]:(~brave(X)<=>~creative(X)))&
(![X]:((~calm(X)<~>happy(X))<=>brave(X)))&
(((~pat... | ~creative(susan) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4845665488391704007747508
% SZS output start Proof for 4845665488391704007747508
1. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> (creative(X0) | ~happy(X0))) [input p0]
2. ! [X0] : (calm(X0) <=> quiet(X0)) [input p1]
3. ! [X0] : (tall(X0) => (~happy(X0) <~> funny(X0))) [input p2]
6. ! [X0] :... | 0 |
Everyone who is not humble or not brave is both rich and not happy.
If lucy is both not creative and curious then susan is not old and vice versa.
Everyone who is either not humble or not rich is generous or calm.
Everyone who is both not strong and funny is either wise or not rich.
If someone is both not kind and calm... | Alice is brave. | entailment | (![X]:((~humble(X)|~brave(X))=>(rich(X)&~happy(X))))&
(((~creative(lucy)&curious(lucy)))<=>(~old(susan)))&
(![X]:((~humble(X)<~>~rich(X))=>(generous(X)|calm(X))))&
(![X]:((~strong(X)&funny(X))=>(wise(X)<~>~rich(X))))&
((?[X]:((~kind(X)&calm(X))))=>((~brave(alice)<~>creative(alice))))&
((creative(alice))<=>(?[X]:((~wise... | brave(alice) | [
"p0",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6142952444365318486353669
% SZS output start Proof for 6142952444365318486353669
1. ! [X0] : ((~brave(X0) | ~humble(X0)) => (~happy(X0) & rich(X0))) [input p0]
15. ! [X0] : ((rich(X0) | curious(X0)) => (kind(X0) <~> brave(X0))) [input p14]
16. ! [X0] : ((~generous(X0) & ~kind(X0)) <=> (ri... | 0 |
If someone is quiet then mary is both calm and not generous and vice versa.
If someone is tall then fred is generous and vice versa.
Everyone who is calm is both not generous and curious and vice versa.
If fred is either kind or not kind then lucy is both not wise and not strong and vice versa.
Everyone who is strong o... | Lucy is not generous. | entailment | ((?[X]:(quiet(X)))<=>((calm(mary)&~generous(mary))))&
((?[X]:(tall(X)))<=>(generous(fred)))&
(![X]:(calm(X)<=>(~generous(X)&curious(X))))&
(((kind(fred)<~>~kind(fred)))<=>((~wise(lucy)&~strong(lucy))))&
(![X]:((strong(X)|~calm(X))<=>happy(X)))&
(![X]:((~calm(X)|~generous(X))<=>(tall(X)<~>generous(X))))&
(![X]:((~funny(... | ~generous(lucy) | [
"p2",
"p3",
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6953400854195570656593176
% SZS output start Proof for 6953400854195570656593176
3. ! [X0] : (calm(X0) <=> (curious(X0) & ~generous(X0))) [input p2]
4. (kind(fred) <~> ~kind(fred)) <=> (~strong(lucy) & ~wise(lucy)) [input p3]
6. ! [X0] : ((~generous(X0) | ~calm(X0)) <=> (tall(X0) <~> gene... | 0 |
If someone is both not funny and not quiet then someone is old or not strong and vice versa. If mary is not curious then john is not funny or kind and vice versa. If someone is calm then lucy is either happy or strong. If alice is either not happy or not wise then someone is not creative. If mary is wise then paul is e... | Lucy is generous. | neutral | ((?[X]:((~funny(X)&~quiet(X))))<=>(?[X]:((old(X)|~strong(X)))))&
((~curious(mary))<=>((~funny(john)|kind(john))))&
((?[X]:(calm(X)))=>((happy(lucy)<~>strong(lucy))))&
(((~happy(alice)<~>~wise(alice)))=>(?[X]:(~creative(X))))&
((wise(mary))=>((~calm(paul)<~>~creative(paul))))&
(![X]:((tall(X)<~>~old(X))=>(~old(X)<~>funn... | generous(lucy) | [] | null | 0 |
Everyone who is not rich or not generous is both brave and not old and vice versa.
Everyone who is not quiet is not tall or patient and vice versa.
Everyone who is both kind and not brave is both not quiet and calm.
If someone is either not happy or happy then fred is old and vice versa.
If john is calm then fred is st... | Alice is not tall. | neutral | (![X]:((~rich(X)|~generous(X))<=>(brave(X)&~old(X))))&
(![X]:(~quiet(X)<=>(~tall(X)|patient(X))))&
(![X]:((kind(X)&~brave(X))=>(~quiet(X)&calm(X))))&
((?[X]:((~happy(X)<~>happy(X))))<=>(old(fred)))&
((calm(john))<=>((strong(fred)|~happy(fred))))&
((?[X]:((~quiet(X)&quiet(X))))=>(?[X]:((~funny(X)<~>~curious(X)))))&
(![X... | ~tall(alice) | [] | null | 0 |
Everyone who is both strong and not happy is kind or not wise and vice versa. If fred is either not funny or not rich then someone is not quiet or calm. Everyone who is both old and creative is old and vice versa. Everyone who is either patient or happy is not quiet or calm and vice versa. Everyone who is both not kind... | Susan is not generous. | neutral | (![X]:((strong(X)&~happy(X))<=>(kind(X)|~wise(X))))&
(((~funny(fred)<~>~rich(fred)))=>(?[X]:((~quiet(X)|calm(X)))))&
(![X]:((old(X)&creative(X))<=>old(X)))&
(![X]:((patient(X)<~>happy(X))<=>(~quiet(X)|calm(X))))&
(![X]:((~kind(X)&~tall(X))=>(~rich(X)|~brave(X))))&
(![X]:((~tall(X)&~wise(X))<=>(wise(X)&creative(X))))&
(... | ~generous(susan) | [] | null | 0 |
Everyone who is funny or brave is humble and vice versa. Everyone who is either not old or tall is both not quiet and wise and vice versa. Everyone who is both not brave and curious is either brave or wise. Everyone who is both rich and not generous is not curious and vice versa. If john is calm then someone is creativ... | Susan is not rich. | entailment | (![X]:((funny(X)|brave(X))<=>humble(X)))&
(![X]:((~old(X)<~>tall(X))<=>(~quiet(X)&wise(X))))&
(![X]:((~brave(X)&curious(X))=>(brave(X)<~>wise(X))))&
(![X]:((rich(X)&~generous(X))<=>~curious(X)))&
((calm(john))=>(?[X]:((creative(X)|~happy(X)))))&
((funny(susan))=>((quiet(paul)|~tall(paul))))&
(![X]:(~calm(X)<=>(happy(X)... | ~rich(susan) | [
"p0",
"p2",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3642117701947085367686851
% SZS output start Proof for 3642117701947085367686851
1. ! [X0] : ((brave(X0) | funny(X0)) <=> humble(X0)) [input p0]
3. ! [X0] : ((curious(X0) & ~brave(X0)) => (brave(X0) <~> wise(X0))) [input p2]
9. ! [X0] : (~curious(X0) => (~kind(X0) & brave(X0))) [input p8]... | 0 |
If someone is not creative or quiet then someone is either humble or not tall and vice versa.
If someone is both old and not tall then alice is quiet.
Everyone who is not tall or tall is either not strong or strong and vice versa.
Everyone who is either not quiet or quiet is either not brave or not old.
If someone is e... | Alice is not tall. | neutral | ((?[X]:((~creative(X)|quiet(X))))<=>(?[X]:((humble(X)<~>~tall(X)))))&
((?[X]:((old(X)&~tall(X))))=>(quiet(alice)))&
(![X]:((~tall(X)|tall(X))<=>(~strong(X)<~>strong(X))))&
(![X]:((~quiet(X)<~>quiet(X))=>(~brave(X)<~>~old(X))))&
((?[X]:((~generous(X)<~>kind(X))))=>(?[X]:(~kind(X))))&
((?[X]:((~rich(X)<~>~calm(X))))=>((~... | ~tall(alice) | [] | null | 0 |
If mary is both not creative and not rich then paul is creative or not calm and vice versa.
If alice is generous then someone is quiet and vice versa.
If someone is not curious or humble then someone is not brave and vice versa.
Everyone who is both brave and wise is either not generous or not creative.
Everyone who is... | Paul is not rich. | neutral | (((~creative(mary)&~rich(mary)))<=>((creative(paul)|~calm(paul))))&
((generous(alice))<=>(?[X]:(quiet(X))))&
((?[X]:((~curious(X)|humble(X))))<=>(?[X]:(~brave(X))))&
(![X]:((brave(X)&wise(X))=>(~generous(X)<~>~creative(X))))&
(![X]:((happy(X)&generous(X))<=>(quiet(X)&curious(X))))&
(![X]:((~brave(X)<~>~curious(X))=>(qu... | ~rich(paul) | [] | null | 0 |
Everyone who is both funny and not creative is both not quiet and not funny and vice versa. Everyone who is not kind is either not old or not brave and vice versa. Everyone who is happy or not patient is either not kind or not quiet. Everyone who is quiet or not funny is not creative. Everyone who is happy is kind and ... | Paul is patient. | neutral | (![X]:((funny(X)&~creative(X))<=>(~quiet(X)&~funny(X))))&
(![X]:(~kind(X)<=>(~old(X)<~>~brave(X))))&
(![X]:((happy(X)|~patient(X))=>(~kind(X)<~>~quiet(X))))&
(![X]:((quiet(X)|~funny(X))=>~creative(X)))&
(![X]:(happy(X)<=>kind(X)))&
(![X]:(~happy(X)<=>~rich(X)))&
((?[X]:((~rich(X)|~old(X))))=>(?[X]:((creative(X)|~happy(... | patient(paul) | [] | null | 0 |
Everyone who is either humble or not kind is not brave or not funny and vice versa.
Everyone who is both not calm and not happy is not generous or not rich.
Everyone who is either funny or creative is kind or funny and vice versa.
Everyone who is not quiet is calm and vice versa.
If lucy is either not curious or not pa... | Mary is not calm. | contradiction | (![X]:((humble(X)<~>~kind(X))<=>(~brave(X)|~funny(X))))&
(![X]:((~calm(X)&~happy(X))=>(~generous(X)|~rich(X))))&
(![X]:((funny(X)<~>creative(X))<=>(kind(X)|funny(X))))&
(![X]:(~quiet(X)<=>calm(X)))&
(((~curious(lucy)<~>~patient(lucy)))<=>(?[X]:((wise(X)&~funny(X)))))&
(![X]:((~old(X)<~>tall(X))=>(generous(X)&old(X))))&... | ~calm(mary) | [
"p2",
"p7",
"p11",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2490655251141689616801670
% SZS output start Proof for 2490655251141689616801670
3. ! [X0] : ((funny(X0) <~> creative(X0)) <=> (funny(X0) | kind(X0))) [input p2]
8. ! [X0] : ((humble(X0) & ~tall(X0)) <=> strong(X0)) [input p7]
12. ! [X0] : ((~rich(X0) | ~tall(X0)) => calm(X0)) [input p11]... | 0 |
Everyone who is not quiet is not happy.
If susan is either not patient or kind then someone is funny or not happy.
If susan is both patient and not generous then alice is not generous or not calm and vice versa.
If susan is humble then someone is either not strong or not tall.
If paul is not happy then someone is not f... | Paul is happy. | contradiction | (![X]:(~quiet(X)=>~happy(X)))&
(((~patient(susan)<~>kind(susan)))=>(?[X]:((funny(X)|~happy(X)))))&
(((patient(susan)&~generous(susan)))<=>((~generous(alice)|~calm(alice))))&
((humble(susan))=>(?[X]:((~strong(X)<~>~tall(X)))))&
((~happy(paul))<=>(?[X]:(~funny(X))))&
(![X]:((~happy(X)&funny(X))=>~curious(X)))&
(![X]:((~b... | happy(paul) | [
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4849119278646641482716663
% SZS output start Proof for 4849119278646641482716663
3. (~generous(susan) & patient(susan)) <=> (~calm(alice) | ~generous(alice)) [input p2]
5. ~happy(paul) <=> ? [X0] : ~funny(X0) [input p4]
8. ! [X0] : ((generous(X0) & ~calm(X0)) <=> (funny(X0) | ~humble(X0))... | 0 |
Everyone who is either not brave or brave is not strong. Everyone who is both not funny and quiet is either generous or not humble. If someone is both generous and not strong then someone is generous or humble and vice versa. If alice is happy then someone is either patient or not old. Everyone who is not tall is both ... | Alice is curious. | neutral | (![X]:((~brave(X)<~>brave(X))=>~strong(X)))&
(![X]:((~funny(X)&quiet(X))=>(generous(X)<~>~humble(X))))&
((?[X]:((generous(X)&~strong(X))))<=>(?[X]:((generous(X)|humble(X)))))&
((happy(alice))=>(?[X]:((patient(X)<~>~old(X)))))&
(![X]:(~tall(X)=>(~humble(X)&tall(X))))&
(![X]:((~happy(X)|brave(X))<=>~humble(X)))&
(![X]:((... | curious(alice) | [] | null | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa.
If lucy is tall or not brave then mary is either funny or not brave and vice versa.
If someone is patient then someone is happy and vice versa.
If someone is both strong and old then susan is calm and vice versa.
Everyone who is both g... | Fred is not calm. | entailment | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
(((tall(lucy)|~brave(lucy)))<=>((funny(mary)<~>~brave(mary))))&
((?[X]:(patient(X)))<=>(?[X]:(happy(X))))&
((?[X]:((strong(X)&old(X))))<=>(calm(susan)))&
(![X]:((generous(X)&~calm(X))=>~brave(X)))&
(![X]:((~kind(X)<~>tall(X))<=>(~strong(X)<~>tall(X))))&
((?[X]:((ta... | ~calm(fred) | [
"p0",
"p2",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2702084022158628305262072
% SZS output start Proof for 2702084022158628305262072
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
3. ? [X0] : patient(X0) <=> ? [X0] : happy(X0) [input p2]
9. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~tall(X0) | strong(X0))) ... | 0 |
If alice is not tall or not patient then john is both not kind and not humble and vice versa.
Everyone who is both not tall and patient is both strong and happy.
If someone is both not funny and not creative then alice is both not rich and humble and vice versa.
Everyone who is either patient or creative is either humb... | Paul is wise. | neutral | (((~tall(alice)|~patient(alice)))<=>((~kind(john)&~humble(john))))&
(![X]:((~tall(X)&patient(X))=>(strong(X)&happy(X))))&
((?[X]:((~funny(X)&~creative(X))))<=>((~rich(alice)&humble(alice))))&
(![X]:((patient(X)<~>creative(X))=>(humble(X)<~>~old(X))))&
((?[X]:(strong(X)))=>(~kind(paul)))&
(![X]:(~rich(X)<=>(~calm(X)&hap... | wise(paul) | [] | null | 0 |
If someone is not generous or not creative then susan is either not tall or calm and vice versa. If alice is both generous and not strong then someone is not kind or generous. If mary is either not brave or rich then john is either kind or curious. If someone is happy or not strong then paul is calm or not calm. Everyo... | Mary is happy. | contradiction | ((?[X]:((~generous(X)|~creative(X))))<=>((~tall(susan)<~>calm(susan))))&
(((generous(alice)&~strong(alice)))=>(?[X]:((~kind(X)|generous(X)))))&
(((~brave(mary)<~>rich(mary)))=>((kind(john)<~>curious(john))))&
((?[X]:((happy(X)|~strong(X))))=>((calm(paul)|~calm(paul))))&
(![X]:((tall(X)&generous(X))=>~humble(X)))&
(![X]... | happy(mary) | [
"p0",
"p4",
"p6",
"p7",
"p10",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5038660526352196681634126
% SZS output start Proof for 5038660526352196681634126
1. ? [X0] : (~creative(X0) | ~generous(X0)) <=> (~tall(susan) <~> calm(susan)) [input p0]
5. ! [X0] : ((generous(X0) & tall(X0)) => ~humble(X0)) [input p4]
7. ! [X0] : (~patient(X0) <=> creative(X0)) [input p... | 0 |
Everyone who is not tall is both happy and kind and vice versa. Everyone who is not happy is either not patient or not humble. If susan is either not kind or wise then someone is not curious or patient and vice versa. If paul is funny then john is not brave and vice versa. If someone is both not humble and not happy th... | John is kind. | contradiction | (![X]:(~tall(X)<=>(happy(X)&kind(X))))&
(![X]:(~happy(X)=>(~patient(X)<~>~humble(X))))&
(((~kind(susan)<~>wise(susan)))<=>(?[X]:((~curious(X)|patient(X)))))&
((funny(paul))<=>(~brave(john)))&
((?[X]:((~humble(X)&~happy(X))))=>(?[X]:((patient(X)|~strong(X)))))&
((?[X]:((old(X)<~>~curious(X))))<=>(~funny(fred)))&
(![X]:(... | kind(john) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7948970590728024878580108
% SZS output start Proof for 7948970590728024878580108
1. ! [X0] : (~tall(X0) <=> (kind(X0) & happy(X0))) [input p0]
15. ! [X0] : (tall(X0) <=> (~happy(X0) <~> kind(X0))) [input p14]
25. kind(john) [input hypothesis]
39. ! [X0] : ((~tall(X0) | (~kind(X0) | ~happy... | 0 |
Everyone who is either not calm or not wise is either tall or old.
If fred is not old or not happy then someone is either not calm or not strong and vice versa.
Everyone who is strong is either not old or humble.
Everyone who is not creative or not humble is both not old and not tall.
If someone is not brave or not str... | Paul is generous. | contradiction | (![X]:((~calm(X)<~>~wise(X))=>(tall(X)<~>old(X))))&
(((~old(fred)|~happy(fred)))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((patient(fred)|tall(fred))))&
(![X]:((wise(X)<~>strong(X))<=>~calm(X... | generous(paul) | [
"p3",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3001533162555990640842242
% SZS output start Proof for 3001533162555990640842242
4. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~tall(X0) & ~old(X0))) [input p3]
7. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (curious(X0) & ~creative(X0))) [input p6]
8. (tall(paul) | ~generous(paul)) <=> (... | 0 |
If alice is either old or not tall then someone is both patient and not happy.
If someone is not wise or not quiet then john is both not humble and happy and vice versa.
Everyone who is not funny is not rich or not old.
Everyone who is either creative or not tall is both strong and not old.
If susan is both not funny a... | Lucy is not creative. | entailment | (((old(alice)<~>~tall(alice)))=>(?[X]:((patient(X)&~happy(X)))))&
((?[X]:((~wise(X)|~quiet(X))))<=>((~humble(john)&happy(john))))&
(![X]:(~funny(X)=>(~rich(X)|~old(X))))&
(![X]:((creative(X)<~>~tall(X))=>(strong(X)&~old(X))))&
(((~funny(susan)&wise(susan)))=>((~happy(john)<~>brave(john))))&
(![X]:((humble(X)&~strong(X)... | ~creative(lucy) | [
"p2",
"p3",
"p5",
"p6",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6697207792751760226335131
% SZS output start Proof for 6697207792751760226335131
3. ! [X0] : (~funny(X0) => (~old(X0) | ~rich(X0))) [input p2]
4. ! [X0] : ((creative(X0) <~> ~tall(X0)) => (~old(X0) & strong(X0))) [input p3]
6. ! [X0] : ((~strong(X0) & humble(X0)) <=> (~old(X0) <~> ~creati... | 0 |
Everyone who is either not wise or wise is both not funny and old and vice versa.
Everyone who is both wise and rich is both happy and not curious.
Everyone who is strong is wise and vice versa.
Everyone who is both quiet and tall is either strong or not old and vice versa.
Everyone who is both old and quiet is both st... | Alice is not wise. | entailment | (![X]:((~wise(X)<~>wise(X))<=>(~funny(X)&old(X))))&
(![X]:((wise(X)&rich(X))=>(happy(X)&~curious(X))))&
(![X]:(strong(X)<=>wise(X)))&
(![X]:((quiet(X)&tall(X))<=>(strong(X)<~>~old(X))))&
(![X]:((old(X)&quiet(X))<=>(strong(X)&~strong(X))))&
(((~brave(lucy)&~creative(lucy)))<=>(?[X]:((~old(X)|~quiet(X)))))&
(![X]:((~gene... | ~wise(alice) | [
"p0",
"p2",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3728963104130970032203546
% SZS output start Proof for 3728963104130970032203546
1. ! [X0] : ((~wise(X0) <~> wise(X0)) <=> (old(X0) & ~funny(X0))) [input p0]
3. ! [X0] : (strong(X0) <=> wise(X0)) [input p2]
4. ! [X0] : ((tall(X0) & quiet(X0)) <=> (strong(X0) <~> ~old(X0))) [input p3]
5. !... | 0 |
If mary is creative then mary is not old.
If john is not rich or happy then fred is both curious and tall.
Everyone who is both not humble and not creative is tall or rich.
Everyone who is not tall is either not patient or rich.
If someone is either not brave or old then someone is either kind or not quiet and vice ver... | Mary is funny. | neutral | ((creative(mary))=>(~old(mary)))&
(((~rich(john)|happy(john)))=>((curious(fred)&tall(fred))))&
(![X]:((~humble(X)&~creative(X))=>(tall(X)|rich(X))))&
(![X]:(~tall(X)=>(~patient(X)<~>rich(X))))&
((?[X]:((~brave(X)<~>old(X))))<=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:((strong(X)&tall(X))=>(wise(X)|~funny(X))))&
(![X]:((t... | funny(mary) | [] | null | 0 |
Everyone who is both patient and not wise is both not generous and not quiet and vice versa.
If someone is either old or rich then paul is not old or strong and vice versa.
Everyone who is old is patient and vice versa.
If someone is not strong or strong then someone is creative or happy.
Everyone who is not rich is ei... | Fred is happy. | neutral | (![X]:((patient(X)&~wise(X))<=>(~generous(X)&~quiet(X))))&
((?[X]:((old(X)<~>rich(X))))<=>((~old(paul)|strong(paul))))&
(![X]:(old(X)<=>patient(X)))&
((?[X]:((~strong(X)|strong(X))))=>(?[X]:((creative(X)|happy(X)))))&
(![X]:(~rich(X)=>(~quiet(X)<~>creative(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((humble(X)<~>strong(X)))))&
... | happy(fred) | [] | null | 0 |
If someone is humble then someone is either patient or not funny and vice versa.
If someone is not happy then someone is both not patient and not funny and vice versa.
Everyone who is rich or not wise is either patient or generous.
Everyone who is either not funny or patient is kind or not brave and vice versa.
Everyon... | Fred is kind. | contradiction | ((?[X]:(humble(X)))<=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:(~happy(X)))<=>(?[X]:((~patient(X)&~funny(X)))))&
(![X]:((rich(X)|~wise(X))=>(patient(X)<~>generous(X))))&
(![X]:((~funny(X)<~>patient(X))<=>(kind(X)|~brave(X))))&
(![X]:((~patient(X)<~>~happy(X))<=>tall(X)))&
((?[X]:(generous(X)))=>(?[X]:((calm(X)<~>curi... | kind(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9217356757015881489178778
% SZS output start Proof for 9217356757015881489178778
10. ! [X0] : ((~kind(X0) & ~curious(X0)) <=> kind(X0)) [input p9]
25. kind(fred) [input hypothesis]
65. ! [X0] : (((~kind(X0) & ~curious(X0)) | ~kind(X0)) & (kind(X0) | (kind(X0) | curious(X0)))) [nnf transfo... | 0 |
Everyone who is both not calm and not happy is either old or funny.
Everyone who is not calm or not quiet is both not brave and not curious.
Everyone who is both tall and kind is not quiet and vice versa.
If paul is not patient or not rich then mary is either not strong or not tall.
Everyone who is both funny and wise ... | Susan is not wise. | neutral | (![X]:((~calm(X)&~happy(X))=>(old(X)<~>funny(X))))&
(![X]:((~calm(X)|~quiet(X))=>(~brave(X)&~curious(X))))&
(![X]:((tall(X)&kind(X))<=>~quiet(X)))&
(((~patient(paul)|~rich(paul)))=>((~strong(mary)<~>~tall(mary))))&
(![X]:((funny(X)&wise(X))<=>(~funny(X)&~curious(X))))&
(((~happy(fred)|~generous(fred)))<=>(~funny(mary))... | ~wise(susan) | [] | null | 0 |
Everyone who is either not rich or not generous is either not tall or creative.
Everyone who is both not brave and not rich is not humble and vice versa.
If someone is either kind or not calm then susan is either not patient or not quiet.
If john is either not old or strong then someone is quiet.
Everyone who is either... | Alice is brave. | contradiction | (![X]:((~rich(X)<~>~generous(X))=>(~tall(X)<~>creative(X))))&
(![X]:((~brave(X)&~rich(X))<=>~humble(X)))&
((?[X]:((kind(X)<~>~calm(X))))=>((~patient(susan)<~>~quiet(susan))))&
(((~old(john)<~>strong(john)))=>(?[X]:(quiet(X))))&
(![X]:((~generous(X)<~>~rich(X))=>(quiet(X)&curious(X))))&
(![X]:((~creative(X)<~>~patient(X... | brave(alice) | [
"p1",
"p4",
"p5",
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2138022965525468447625262
% SZS output start Proof for 2138022965525468447625262
2. ! [X0] : ((~rich(X0) & ~brave(X0)) <=> ~humble(X0)) [input p1]
5. ! [X0] : ((~generous(X0) <~> ~rich(X0)) => (curious(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((~creative(X0) <~> ~patient(X0)) <=> (funny(X... | 0 |
Everyone who is either not brave or wise is both not creative and not quiet.
If someone is both not old and quiet then someone is either funny or not happy and vice versa.
Everyone who is either brave or not funny is either not patient or quiet and vice versa.
Everyone who is both happy and kind is not old or not humbl... | Paul is curious. | neutral | (![X]:((~brave(X)<~>wise(X))=>(~creative(X)&~quiet(X))))&
((?[X]:((~old(X)&quiet(X))))<=>(?[X]:((funny(X)<~>~happy(X)))))&
(![X]:((brave(X)<~>~funny(X))<=>(~patient(X)<~>quiet(X))))&
(![X]:((happy(X)&kind(X))<=>(~old(X)|~humble(X))))&
(![X]:((~kind(X)|~creative(X))=>(~strong(X)|funny(X))))&
(![X]:(kind(X)=>~happy(X)))&... | curious(paul) | [] | null | 0 |
Everyone who is either not tall or not calm is both brave and not strong and vice versa.
If someone is calm or not strong then someone is calm or patient and vice versa.
Everyone who is kind is either not rich or humble.
Everyone who is either not quiet or generous is both curious and not quiet.
If someone is kind then... | Alice is not old. | neutral | (![X]:((~tall(X)<~>~calm(X))<=>(brave(X)&~strong(X))))&
((?[X]:((calm(X)|~strong(X))))<=>(?[X]:((calm(X)|patient(X)))))&
(![X]:(kind(X)=>(~rich(X)<~>humble(X))))&
(![X]:((~quiet(X)<~>generous(X))=>(curious(X)&~quiet(X))))&
((?[X]:(kind(X)))<=>(?[X]:(generous(X))))&
(![X]:(funny(X)=>curious(X)))&
(((~brave(alice)&brave(... | ~old(alice) | [] | null | 0 |
If susan is tall then someone is either happy or wise.
Everyone who is both generous and not rich is not creative.
If lucy is both not happy and not wise then john is both wise and not wise.
If paul is both not kind and creative then alice is strong.
Everyone who is both not rich and not quiet is curious and vice versa... | Lucy is creative. | contradiction | ((tall(susan))=>(?[X]:((happy(X)<~>wise(X)))))&
(![X]:((generous(X)&~rich(X))=>~creative(X)))&
(((~happy(lucy)&~wise(lucy)))=>((wise(john)&~wise(john))))&
(((~kind(paul)&creative(paul)))=>(strong(alice)))&
(![X]:((~rich(X)&~quiet(X))<=>curious(X)))&
(![X]:((happy(X)<~>humble(X))=>brave(X)))&
(((~rich(fred)&tall(fred)))... | creative(lucy) | [
"p1",
"p6",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 504873744014475600879154
% SZS output start Proof for 504873744014475600879154
2. ! [X0] : ((~rich(X0) & generous(X0)) => ~creative(X0)) [input p1]
7. (tall(fred) & ~rich(fred)) <=> ? [X0] : (~patient(X0) | quiet(X0)) [input p6]
13. (~funny(lucy) | creative(lucy)) <=> (creative(fred) <~> ... | 0 |
Everyone who is strong or curious is both not humble and tall.
Everyone who is not curious is both not wise and brave and vice versa.
If mary is generous then someone is both not kind and not happy and vice versa.
If someone is generous or not creative then paul is not funny or calm and vice versa.
If alice is both hap... | Paul is not kind. | entailment | (![X]:((strong(X)|curious(X))=>(~humble(X)&tall(X))))&
(![X]:(~curious(X)<=>(~wise(X)&brave(X))))&
((generous(mary))<=>(?[X]:((~kind(X)&~happy(X)))))&
((?[X]:((generous(X)|~creative(X))))<=>((~funny(paul)|calm(paul))))&
(((happy(alice)&~quiet(alice)))<=>(?[X]:(curious(X))))&
((?[X]:((~brave(X)&curious(X))))=>(?[X]:(~ki... | ~kind(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 330359430673733086585786
% SZS output start Proof for 330359430673733086585786
9. ! [X0] : ((~calm(X0) | kind(X0)) <=> (~funny(X0) & ~kind(X0))) [input p8]
24. kind(paul) [input hypothesis]
56. ! [X0] : (((~calm(X0) | kind(X0)) | (funny(X0) | kind(X0))) & ((~funny(X0) & ~kind(X0)) | (calm... | 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... | Lucy is curious. | 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... | curious(lucy) | [] | null | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If lucy is both brave and humble then someone is patient or wise.
Everyone who is rich is either creative or not calm and vice versa.
If someone is either curious or creative then susan is either calm or creative.
If mary is generous then someone is not... | Lucy is not brave. | entailment | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((brave(lucy)&humble(lucy)))=>(?[X]:((patient(X)|wise(X)))))&
(![X]:(rich(X)<=>(creative(X)<~>~calm(X))))&
((?[X]:((curious(X)<~>creative(X))))=>((calm(susan)<~>creative(susan))))&
((generous(mary))<=>(?[X]:((~brave(X)|~patient(X)))))&
(![X]:((~wise(X)<~>~happy(X))<=>(kind(X)... | ~brave(lucy) | [
"p0",
"p2",
"p6",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6212155879704338959499813
% SZS output start Proof for 6212155879704338959499813
1. ! [X0] : ((kind(X0) & ~curious(X0)) <=> happy(X0)) [input p0]
3. ! [X0] : (rich(X0) <=> (creative(X0) <~> ~calm(X0))) [input p2]
7. ! [X0] : ((~tall(X0) <~> ~calm(X0)) => ~rich(X0)) [input p6]
9. ! [X0] : ... | 0 |
Everyone who is either humble or rich is both not happy and funny. Everyone who is wise or generous is both tall and not strong and vice versa. If someone is not kind or happy then someone is not strong and vice versa. If someone is not strong then lucy is both not kind and brave and vice versa. If fred is not funny th... | Susan is tall. | entailment | (![X]:((humble(X)<~>rich(X))=>(~happy(X)&funny(X))))&
(![X]:((wise(X)|generous(X))<=>(tall(X)&~strong(X))))&
((?[X]:((~kind(X)|happy(X))))<=>(?[X]:(~strong(X))))&
((?[X]:(~strong(X)))<=>((~kind(lucy)&brave(lucy))))&
((~funny(fred))<=>((curious(lucy)&~old(lucy))))&
(![X]:((patient(X)|~curious(X))=>~old(X)))&
(((~creativ... | tall(susan) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 9030471378589580629676200
% SZS output start Proof for 9030471378589580629676200
2. ! [X0] : ((generous(X0) | wise(X0)) <=> (~strong(X0) & tall(X0))) [input p1]
7. (~creative(john) <~> creative(john)) <=> (old(susan) & wise(susan)) [input p6]
25. ~tall(susan) [input hypothesis]
41. ! [X0]... | 0 |
If susan is not quiet then lucy is both not generous and old and vice versa. Everyone who is tall is not tall or not wise and vice versa. If alice is both quiet and not kind then lucy is not tall or not wise and vice versa. Everyone who is not wise is both not curious and not old and vice versa. Everyone who is not old... | Lucy is not quiet. | neutral | ((~quiet(susan))<=>((~generous(lucy)&old(lucy))))&
(![X]:(tall(X)<=>(~tall(X)|~wise(X))))&
(((quiet(alice)&~kind(alice)))<=>((~tall(lucy)|~wise(lucy))))&
(![X]:(~wise(X)<=>(~curious(X)&~old(X))))&
(![X]:(~old(X)=>(~old(X)<~>strong(X))))&
(![X]:((~creative(X)|humble(X))=>(happy(X)|~tall(X))))&
(((happy(lucy)|~quiet(lucy... | ~quiet(lucy) | [] | null | 0 |
Everyone who is quiet or curious is both brave and not patient.
Everyone who is not happy is either not strong or not funny and vice versa.
Everyone who is kind or not rich is not strong and vice versa.
Everyone who is both curious and not curious is quiet or not funny.
If someone is not patient then mary is not patien... | Fred is not strong. | entailment | (![X]:((quiet(X)|curious(X))=>(brave(X)&~patient(X))))&
(![X]:(~happy(X)<=>(~strong(X)<~>~funny(X))))&
(![X]:((kind(X)|~rich(X))<=>~strong(X)))&
(![X]:((curious(X)&~curious(X))=>(quiet(X)|~funny(X))))&
((?[X]:(~patient(X)))<=>(~patient(mary)))&
((strong(john))<=>((generous(mary)|creative(mary))))&
((tall(lucy))<=>((~pa... | ~strong(fred) | [
"p0",
"p1",
"p11",
"p12",
"p18",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7315129975366846271497765
% SZS output start Proof for 7315129975366846271497765
1. ! [X0] : ((curious(X0) | quiet(X0)) => (~patient(X0) & brave(X0))) [input p0]
2. ! [X0] : (~happy(X0) <=> (~strong(X0) <~> ~funny(X0))) [input p1]
12. (happy(lucy) | ~kind(lucy)) <=> ? [X0] : (brave(X0) & ... | 0 |
If someone is both funny and not wise then someone is both not generous and brave and vice versa.
If someone is tall or quiet then fred is both not old and tall.
Everyone who is not generous is both not funny and kind and vice versa.
Everyone who is both not funny and not quiet is curious or not funny and vice versa.
I... | Susan is not creative. | contradiction | ((?[X]:((funny(X)&~wise(X))))<=>(?[X]:((~generous(X)&brave(X)))))&
((?[X]:((tall(X)|quiet(X))))=>((~old(fred)&tall(fred))))&
(![X]:(~generous(X)<=>(~funny(X)&kind(X))))&
(![X]:((~funny(X)&~quiet(X))<=>(curious(X)|~funny(X))))&
((?[X]:((~tall(X)|~old(X))))=>(?[X]:((patient(X)&~tall(X)))))&
((?[X]:((creative(X)|humble(X)... | ~creative(susan) | [
"p0",
"p2",
"p3",
"p8",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2298904746258877311914097
% SZS output start Proof for 2298904746258877311914097
1. ? [X0] : (~wise(X0) & funny(X0)) <=> ? [X0] : (brave(X0) & ~generous(X0)) [input p0]
3. ! [X0] : (~generous(X0) <=> (kind(X0) & ~funny(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) & ~funny(X0)) <=> (~funny(X0... | 0 |
Everyone who is both not strong and not rich is not happy or creative.
Everyone who is tall is not tall.
If john is either humble or not strong then fred is either patient or calm and vice versa.
Everyone who is either not kind or not humble is not kind.
If mary is both rich and funny then someone is not quiet or funny... | Mary is strong. | neutral | (![X]:((~strong(X)&~rich(X))=>(~happy(X)|creative(X))))&
(![X]:(tall(X)=>~tall(X)))&
(((humble(john)<~>~strong(john)))<=>((patient(fred)<~>calm(fred))))&
(![X]:((~kind(X)<~>~humble(X))=>~kind(X)))&
(((rich(mary)&funny(mary)))=>(?[X]:((~quiet(X)|funny(X)))))&
((?[X]:(kind(X)))=>(?[X]:((~wise(X)&happy(X)))))&
((?[X]:((wi... | strong(mary) | [] | null | 0 |
Everyone who is not strong or not old is either old or not calm and vice versa.
If someone is both curious and wise then someone is not creative or not generous.
Everyone who is either old or rich is not wise.
Everyone who is either wise or brave is both not wise and generous.
Everyone who is both not curious and not r... | Susan is quiet. | neutral | (![X]:((~strong(X)|~old(X))<=>(old(X)<~>~calm(X))))&
((?[X]:((curious(X)&wise(X))))=>(?[X]:((~creative(X)|~generous(X)))))&
(![X]:((old(X)<~>rich(X))=>~wise(X)))&
(![X]:((wise(X)<~>brave(X))=>(~wise(X)&generous(X))))&
(![X]:((~curious(X)&~rich(X))=>wise(X)))&
((rich(alice))=>(quiet(susan)))&
(![X]:((humble(X)<~>~strong... | quiet(susan) | [] | null | 0 |
If someone is not brave then john is either brave or not humble and vice versa.
Everyone who is old is not old.
If someone is not creative then mary is either calm or not kind.
Everyone who is patient or not happy is both happy and not brave.
Everyone who is happy is both not funny and not old.
If someone is both not t... | Alice is patient. | entailment | ((?[X]:(~brave(X)))<=>((brave(john)<~>~humble(john))))&
(![X]:(old(X)=>~old(X)))&
((?[X]:(~creative(X)))=>((calm(mary)<~>~kind(mary))))&
(![X]:((patient(X)|~happy(X))=>(happy(X)&~brave(X))))&
(![X]:(happy(X)=>(~funny(X)&~old(X))))&
((?[X]:((~tall(X)&patient(X))))=>(?[X]:((~curious(X)&~old(X)))))&
(![X]:((humble(X)&~hum... | patient(alice) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8871874184972055358488763
% SZS output start Proof for 8871874184972055358488763
2. ! [X0] : (old(X0) => ~old(X0)) [input p1]
7. ! [X0] : ((~humble(X0) & humble(X0)) <=> (patient(X0) <~> ~old(X0))) [input p6]
21. ~patient(alice) [input hypothesis]
26. ! [X0] : (~old(X0) | ~old(X0)) [ennf ... | 0 |
Everyone who is not quiet or humble is calm or not humble.
Everyone who is either not wise or not calm is both kind and not generous.
If someone is rich or brave then someone is not happy.
If someone is both calm and brave then someone is wise.
If mary is not curious or not patient then someone is not brave or funny.
I... | Lucy is brave. | entailment | (![X]:((~quiet(X)|humble(X))=>(calm(X)|~humble(X))))&
(![X]:((~wise(X)<~>~calm(X))=>(kind(X)&~generous(X))))&
((?[X]:((rich(X)|brave(X))))=>(?[X]:(~happy(X))))&
((?[X]:((calm(X)&brave(X))))=>(?[X]:(wise(X))))&
(((~curious(mary)|~patient(mary)))=>(?[X]:((~brave(X)|funny(X)))))&
(((brave(lucy)&~generous(lucy)))<=>(?[X]:(... | brave(lucy) | [
"p0",
"p5",
"p10",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7982548920583804729296151
% SZS output start Proof for 7982548920583804729296151
1. ! [X0] : ((humble(X0) | ~quiet(X0)) => (~humble(X0) | calm(X0))) [input p0]
6. (~generous(lucy) & brave(lucy)) <=> ? [X0] : (~curious(X0) | creative(X0)) [input p5]
11. ! [X0] : ((~creative(X0) | ~strong(X... | 0 |
Everyone who is generous is not humble. Everyone who is not kind or not tall is not patient or not calm. If john is both not creative and humble then lucy is curious and vice versa. Everyone who is both wise and old is happy. Everyone who is not creative is either not quiet or not old. Everyone who is both calm and bra... | Alice is quiet. | neutral | (![X]:(generous(X)=>~humble(X)))&
(![X]:((~kind(X)|~tall(X))=>(~patient(X)|~calm(X))))&
(((~creative(john)&humble(john)))<=>(curious(lucy)))&
(![X]:((wise(X)&old(X))=>happy(X)))&
(![X]:(~creative(X)=>(~quiet(X)<~>~old(X))))&
(![X]:((calm(X)&brave(X))=>(~strong(X)&funny(X))))&
(((old(fred)|wise(fred)))=>(?[X]:((~wise(X)... | quiet(alice) | [] | null | 0 |
Everyone who is not creative or tall is both old and not strong. Everyone who is not rich or not humble is both kind and not tall and vice versa. If fred is not old or not tall then someone is either tall or not rich. Everyone who is either rich or quiet is both kind and quiet. If someone is both not curious and calm t... | Alice is quiet. | entailment | (![X]:((~creative(X)|tall(X))=>(old(X)&~strong(X))))&
(![X]:((~rich(X)|~humble(X))<=>(kind(X)&~tall(X))))&
(((~old(fred)|~tall(fred)))=>(?[X]:((tall(X)<~>~rich(X)))))&
(![X]:((rich(X)<~>quiet(X))=>(kind(X)&quiet(X))))&
((?[X]:((~curious(X)&calm(X))))=>(?[X]:((curious(X)|~generous(X)))))&
(![X]:((kind(X)&~rich(X))=>(ric... | quiet(alice) | [
"p1",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6506062548413753887515011
% SZS output start Proof for 6506062548413753887515011
2. ! [X0] : ((~humble(X0) | ~rich(X0)) <=> (~tall(X0) & kind(X0))) [input p1]
4. ! [X0] : ((rich(X0) <~> quiet(X0)) => (quiet(X0) & kind(X0))) [input p3]
6. ! [X0] : ((~rich(X0) & kind(X0)) => (calm(X0) & ric... | 0 |
Everyone who is not patient or not tall is both not patient and not humble and vice versa. If john is both not old and tall then paul is funny or old and vice versa. Everyone who is not tall is either generous or not brave and vice versa. If alice is not kind then alice is either not rich or not creative. If someone is... | Mary is generous. | neutral | (![X]:((~patient(X)|~tall(X))<=>(~patient(X)&~humble(X))))&
(((~old(john)&tall(john)))<=>((funny(paul)|old(paul))))&
(![X]:(~tall(X)<=>(generous(X)<~>~brave(X))))&
((~kind(alice))=>((~rich(alice)<~>~creative(alice))))&
((?[X]:((curious(X)&~happy(X))))<=>(?[X]:((~generous(X)|patient(X)))))&
(![X]:((patient(X)|~creative(... | generous(mary) | [] | null | 0 |
Everyone who is either not creative or not quiet is not tall or kind.
Everyone who is brave or not wise is not patient or funny.
Everyone who is both not funny and not happy is not funny.
Everyone who is not patient or not humble is both patient and not creative and vice versa.
If someone is not tall then someone is ei... | John is not generous. | neutral | (![X]:((~creative(X)<~>~quiet(X))=>(~tall(X)|kind(X))))&
(![X]:((brave(X)|~wise(X))=>(~patient(X)|funny(X))))&
(![X]:((~funny(X)&~happy(X))=>~funny(X)))&
(![X]:((~patient(X)|~humble(X))<=>(patient(X)&~creative(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((~rich(X)<~>rich(X)))))&
(![X]:((~kind(X)|kind(X))<=>~tall(X)))&
(((~curiou... | ~generous(john) | [] | null | 0 |
If alice is either not quiet or not generous then fred is both not wise and not curious and vice versa. If alice is not rich then someone is either not humble or not curious and vice versa. Everyone who is both strong and not wise is either funny or happy and vice versa. If someone is both wise and happy then susan is ... | Susan is wise. | neutral | (((~quiet(alice)<~>~generous(alice)))<=>((~wise(fred)&~curious(fred))))&
((~rich(alice))<=>(?[X]:((~humble(X)<~>~curious(X)))))&
(![X]:((strong(X)&~wise(X))<=>(funny(X)<~>happy(X))))&
((?[X]:((wise(X)&happy(X))))<=>(~generous(susan)))&
(![X]:(~curious(X)<=>(~brave(X)<~>~happy(X))))&
(![X]:((humble(X)&rich(X))=>(tall(X)... | wise(susan) | [] | null | 0 |
If mary is not kind or not tall then mary is both not brave and funny and vice versa.
If someone is either strong or not happy then someone is not old and vice versa.
If someone is happy or not patient then fred is humble or funny.
If mary is either not creative or kind then someone is not strong and vice versa.
Everyo... | Mary is creative. | contradiction | (((~kind(mary)|~tall(mary)))<=>((~brave(mary)&funny(mary))))&
((?[X]:((strong(X)<~>~happy(X))))<=>(?[X]:(~old(X))))&
((?[X]:((happy(X)|~patient(X))))=>((humble(fred)|funny(fred))))&
(((~creative(mary)<~>kind(mary)))<=>(?[X]:(~strong(X))))&
(![X]:((~quiet(X)&strong(X))=>~happy(X)))&
((?[X]:((~curious(X)<~>brave(X))))=>(... | creative(mary) | [
"p8",
"p9",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1273600763398170142100061
% SZS output start Proof for 1273600763398170142100061
9. ! [X0] : (funny(X0) <=> (funny(X0) & ~humble(X0))) [input p8]
10. ! [X0] : (wise(X0) <=> (~generous(X0) <~> funny(X0))) [input p9]
14. ! [X0] : ((~humble(X0) | creative(X0)) <=> (~wise(X0) | generous(X0)))... | 0 |
Everyone who is either tall or kind is not tall. If paul is both not strong and generous then someone is either curious or not patient and vice versa. If john is either calm or generous then someone is quiet or tall and vice versa. If someone is both not calm and patient then paul is not tall. Everyone who is both not ... | John is not strong. | entailment | (![X]:((tall(X)<~>kind(X))=>~tall(X)))&
(((~strong(paul)&generous(paul)))<=>(?[X]:((curious(X)<~>~patient(X)))))&
(((calm(john)<~>generous(john)))<=>(?[X]:((quiet(X)|tall(X)))))&
((?[X]:((~calm(X)&patient(X))))=>(~tall(paul)))&
(![X]:((~funny(X)&creative(X))=>(happy(X)|~happy(X))))&
((?[X]:((generous(X)<~>~quiet(X))))<... | ~strong(john) | [
"p8",
"p13",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6400371239204840069319102
% SZS output start Proof for 6400371239204840069319102
9. ! [X0] : ((creative(X0) <~> ~rich(X0)) => (~wise(X0) & quiet(X0))) [input p8]
14. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (~funny(X0) & quiet(X0))) [input p13]
15. ? [X0] : ~tall(X0) => (~creative(john) ... | 0 |
Everyone who is both strong and not happy is either wise or not old and vice versa. Everyone who is both not tall and generous is generous and vice versa. If someone is either not quiet or not patient then alice is not creative and vice versa. Everyone who is not generous is both not patient and not humble. Everyone wh... | John is funny. | neutral | (![X]:((strong(X)&~happy(X))<=>(wise(X)<~>~old(X))))&
(![X]:((~tall(X)&generous(X))<=>generous(X)))&
((?[X]:((~quiet(X)<~>~patient(X))))<=>(~creative(alice)))&
(![X]:(~generous(X)=>(~patient(X)&~humble(X))))&
(![X]:((~funny(X)&funny(X))<=>(~patient(X)&patient(X))))&
(![X]:((quiet(X)<~>~old(X))=>(~tall(X)<~>rich(X))))&
... | funny(john) | [] | null | 0 |
Everyone who is not tall or not brave is not old. Everyone who is both not brave and patient is not quiet and vice versa. Everyone who is both not tall and happy is both rich and tall. If someone is both not happy and old then someone is either humble or generous. If someone is curious or rich then someone is both rich... | Alice is wise. | neutral | (![X]:((~tall(X)|~brave(X))=>~old(X)))&
(![X]:((~brave(X)&patient(X))<=>~quiet(X)))&
(![X]:((~tall(X)&happy(X))=>(rich(X)&tall(X))))&
((?[X]:((~happy(X)&old(X))))=>(?[X]:((humble(X)<~>generous(X)))))&
((?[X]:((curious(X)|rich(X))))<=>(?[X]:((rich(X)&~generous(X)))))&
((?[X]:((generous(X)<~>wise(X))))=>(?[X]:(curious(X)... | wise(alice) | [] | null | 0 |
Everyone who is funny or wise is happy.
Everyone who is both patient and rich is not funny and vice versa.
If lucy is not humble or happy then susan is either not wise or happy and vice versa.
If someone is not brave or brave then lucy is either not quiet or curious.
Everyone who is either old or wise is both not creat... | Paul is not strong. | neutral | (![X]:((funny(X)|wise(X))=>happy(X)))&
(![X]:((patient(X)&rich(X))<=>~funny(X)))&
(((~humble(lucy)|happy(lucy)))<=>((~wise(susan)<~>happy(susan))))&
((?[X]:((~brave(X)|brave(X))))=>((~quiet(lucy)<~>curious(lucy))))&
(![X]:((old(X)<~>wise(X))<=>(~creative(X)&~funny(X))))&
(![X]:((~quiet(X)<~>curious(X))<=>kind(X)))&
((?... | ~strong(paul) | [] | null | 0 |
Everyone who is either rich or not kind is not humble and vice versa.
If mary is not humble then someone is both creative and not creative.
If susan is quiet or not kind then lucy is not tall or not rich and vice versa.
Everyone who is either not creative or old is wise and vice versa.
Everyone who is creative is eithe... | Fred is not old. | contradiction | (![X]:((rich(X)<~>~kind(X))<=>~humble(X)))&
((~humble(mary))=>(?[X]:((creative(X)&~creative(X)))))&
(((quiet(susan)|~kind(susan)))<=>((~tall(lucy)|~rich(lucy))))&
(![X]:((~creative(X)<~>old(X))<=>wise(X)))&
(![X]:(creative(X)=>(~humble(X)<~>~tall(X))))&
(((~calm(susan)&quiet(susan)))=>((tall(john)&~old(john))))&
(((kin... | ~old(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5610257047998147782769229
% SZS output start Proof for 5610257047998147782769229
10. ! [X0] : ((happy(X0) & old(X0)) <=> (~old(X0) | generous(X0))) [input p9]
24. ~old(fred) [input hypothesis]
52. ! [X0] : (((happy(X0) & old(X0)) | (old(X0) & ~generous(X0))) & ((~old(X0) | generous(X0)) |... | 0 |
If mary is either not tall or not brave then someone is not patient and vice versa.
Everyone who is tall or funny is both not creative and not wise.
If fred is either calm or kind then someone is not calm or not tall and vice versa.
Everyone who is both not patient and not strong is patient or not curious and vice vers... | Fred is not kind. | contradiction | (((~tall(mary)<~>~brave(mary)))<=>(?[X]:(~patient(X))))&
(![X]:((tall(X)|funny(X))=>(~creative(X)&~wise(X))))&
(((calm(fred)<~>kind(fred)))<=>(?[X]:((~calm(X)|~tall(X)))))&
(![X]:((~patient(X)&~strong(X))<=>(patient(X)|~curious(X))))&
((?[X]:(~old(X)))=>((~generous(alice)|~patient(alice))))&
((~quiet(susan))<=>((tall(l... | ~kind(fred) | [
"p1",
"p2",
"p3",
"p7",
"p8",
"p10",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7072127692074501231521368
% SZS output start Proof for 7072127692074501231521368
2. ! [X0] : ((funny(X0) | tall(X0)) => (~wise(X0) & ~creative(X0))) [input p1]
3. (calm(fred) <~> kind(fred)) <=> ? [X0] : (~tall(X0) | ~calm(X0)) [input p2]
4. ! [X0] : ((~strong(X0) & ~patient(X0)) <=> (~cu... | 0 |
If mary is brave then someone is not happy or not calm and vice versa.
Everyone who is not creative or not wise is both not old and happy and vice versa.
Everyone who is either not strong or generous is not patient.
If someone is patient or calm then someone is old.
Everyone who is calm or strong is kind and vice versa... | Mary is generous. | neutral | ((brave(mary))<=>(?[X]:((~happy(X)|~calm(X)))))&
(![X]:((~creative(X)|~wise(X))<=>(~old(X)&happy(X))))&
(![X]:((~strong(X)<~>generous(X))=>~patient(X)))&
((?[X]:((patient(X)|calm(X))))=>(?[X]:(old(X))))&
(![X]:((calm(X)|strong(X))<=>kind(X)))&
((?[X]:((~strong(X)<~>tall(X))))<=>(?[X]:((~funny(X)<~>brave(X)))))&
(((kind... | generous(mary) | [] | null | 0 |
Everyone who is either rich or funny is either not happy or not funny and vice versa.
Everyone who is either not happy or quiet is not kind or curious.
Everyone who is both not calm and not funny is rich or not old and vice versa.
If john is either not tall or not calm then someone is humble or funny and vice versa.
If... | Lucy is humble. | contradiction | (![X]:((rich(X)<~>funny(X))<=>(~happy(X)<~>~funny(X))))&
(![X]:((~happy(X)<~>quiet(X))=>(~kind(X)|curious(X))))&
(![X]:((~calm(X)&~funny(X))<=>(rich(X)|~old(X))))&
(((~tall(john)<~>~calm(john)))<=>(?[X]:((humble(X)|funny(X)))))&
(((curious(mary)|creative(mary)))<=>(?[X]:(humble(X))))&
(![X]:((~generous(X)&~creative(X))... | humble(lucy) | [
"p0",
"p2",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 340962486777813263597716
% SZS output start Proof for 340962486777813263597716
1. ! [X0] : ((rich(X0) <~> funny(X0)) <=> (~happy(X0) <~> ~funny(X0))) [input p0]
3. ! [X0] : ((~funny(X0) & ~calm(X0)) <=> (~old(X0) | rich(X0))) [input p2]
7. ! [X0] : (~humble(X0) <=> (~rich(X0) | ~strong(X0... | 0 |
Everyone who is both not tall and not humble is either calm or not creative.
Everyone who is both not funny and not quiet is calm or funny and vice versa.
Everyone who is wise is not kind.
If someone is happy or calm then someone is both calm and old.
Everyone who is either not wise or funny is quiet or curious.
Everyo... | Mary is not quiet. | neutral | (![X]:((~tall(X)&~humble(X))=>(calm(X)<~>~creative(X))))&
(![X]:((~funny(X)&~quiet(X))<=>(calm(X)|funny(X))))&
(![X]:(wise(X)=>~kind(X)))&
((?[X]:((happy(X)|calm(X))))=>(?[X]:((calm(X)&old(X)))))&
(![X]:((~wise(X)<~>funny(X))=>(quiet(X)|curious(X))))&
(![X]:((~brave(X)&~tall(X))<=>(tall(X)&~patient(X))))&
(![X]:((~humb... | ~quiet(mary) | [] | null | 0 |
Everyone who is not funny is both calm and not funny and vice versa.
If fred is not quiet or patient then john is creative and vice versa.
If john is not calm or not patient then mary is not happy or not old and vice versa.
If someone is either kind or humble then alice is creative and vice versa.
Everyone who is wise ... | Alice is funny. | entailment | (![X]:(~funny(X)<=>(calm(X)&~funny(X))))&
(((~quiet(fred)|patient(fred)))<=>(creative(john)))&
(((~calm(john)|~patient(john)))<=>((~happy(mary)|~old(mary))))&
((?[X]:((kind(X)<~>humble(X))))<=>(creative(alice)))&
(![X]:((wise(X)|calm(X))=>(~humble(X)|tall(X))))&
(![X]:((curious(X)|strong(X))<=>(funny(X)<~>wise(X))))&
(... | funny(alice) | [
"p0",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4093262690033194492747402
% SZS output start Proof for 4093262690033194492747402
1. ! [X0] : (~funny(X0) <=> (~funny(X0) & calm(X0))) [input p0]
21. ~calm(alice) [input p20]
25. ~funny(alice) [input hypothesis]
32. ! [X0] : ((~funny(X0) | (funny(X0) | ~calm(X0))) & ((~funny(X0) & calm(X0)... | 0 |
Everyone who is not old or not wise is both tall and patient.
If someone is both not wise and curious then susan is not calm or happy and vice versa.
If someone is either happy or not strong then mary is both not happy and not strong.
Everyone who is both not strong and not creative is either not wise or creative and v... | Lucy is not calm. | neutral | (![X]:((~old(X)|~wise(X))=>(tall(X)&patient(X))))&
((?[X]:((~wise(X)&curious(X))))<=>((~calm(susan)|happy(susan))))&
((?[X]:((happy(X)<~>~strong(X))))=>((~happy(mary)&~strong(mary))))&
(![X]:((~strong(X)&~creative(X))<=>(~wise(X)<~>creative(X))))&
((?[X]:((~wise(X)|calm(X))))<=>((calm(john)|~strong(john))))&
(![X]:((~k... | ~calm(lucy) | [] | null | 0 |
If someone is not happy then mary is either not calm or not quiet and vice versa. If someone is either not strong or creative then susan is strong or not happy. If mary is brave then someone is either strong or happy and vice versa. Everyone who is either wise or not brave is not rich or not wise and vice versa. If som... | Paul is humble. | contradiction | ((?[X]:(~happy(X)))<=>((~calm(mary)<~>~quiet(mary))))&
((?[X]:((~strong(X)<~>creative(X))))=>((strong(susan)|~happy(susan))))&
((brave(mary))<=>(?[X]:((strong(X)<~>happy(X)))))&
(![X]:((wise(X)<~>~brave(X))<=>(~rich(X)|~wise(X))))&
((?[X]:(~wise(X)))=>((~humble(paul)|generous(paul))))&
(![X]:((~rich(X)&~funny(X))=>(~qu... | humble(paul) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 626593115871482927958720
% SZS output start Proof for 626593115871482927958720
23. ~humble(paul) & generous(paul) [input p22]
25. humble(paul) [input hypothesis]
143. ~humble(paul) [cnf transformation 23]
145. humble(paul) [cnf transformation 25]
212. 15 <=> humble(paul) [avatar definitio... | 0 |
If mary is both patient and not strong then someone is funny.
If lucy is both not tall and patient then someone is old and vice versa.
Everyone who is not creative or strong is either quiet or old.
If someone is either strong or curious then john is not wise and vice versa.
If someone is either not strong or not quiet ... | Mary is not strong. | entailment | (((patient(mary)&~strong(mary)))=>(?[X]:(funny(X))))&
(((~tall(lucy)&patient(lucy)))<=>(?[X]:(old(X))))&
(![X]:((~creative(X)|strong(X))=>(quiet(X)<~>old(X))))&
((?[X]:((strong(X)<~>curious(X))))<=>(~wise(john)))&
((?[X]:((~strong(X)<~>~quiet(X))))=>(~calm(fred)))&
((?[X]:((~quiet(X)&generous(X))))=>((~calm(paul)&~gene... | ~strong(mary) | [
"p2",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8668052566602169887837892
% SZS output start Proof for 8668052566602169887837892
3. ! [X0] : ((strong(X0) | ~creative(X0)) => (quiet(X0) <~> old(X0))) [input p2]
12. ! [X0] : ((happy(X0) & old(X0)) <=> (~old(X0) | generous(X0))) [input p11]
20. tall(mary) & quiet(mary) [input p19]
24. str... | 0 |
Everyone who is either generous or not patient is patient.
Everyone who is old is either not brave or funny.
Everyone who is wise is wise or patient.
Everyone who is not funny or creative is not creative or not old.
Everyone who is funny or strong is strong and vice versa.
If alice is tall then mary is patient.
Everyon... | Mary is wise. | neutral | (![X]:((generous(X)<~>~patient(X))=>patient(X)))&
(![X]:(old(X)=>(~brave(X)<~>funny(X))))&
(![X]:(wise(X)=>(wise(X)|patient(X))))&
(![X]:((~funny(X)|creative(X))=>(~creative(X)|~old(X))))&
(![X]:((funny(X)|strong(X))<=>strong(X)))&
((tall(alice))=>(patient(mary)))&
(![X]:((~humble(X)&~creative(X))=>humble(X)))&
(![X]:(... | wise(mary) | [] | null | 0 |
If susan is not old or not wise then john is not humble and vice versa.
Everyone who is curious or generous is both happy and tall.
Everyone who is tall or strong is brave or not tall.
If someone is rich then mary is either strong or generous and vice versa.
If paul is both not kind and humble then someone is either no... | Mary is not happy. | neutral | (((~old(susan)|~wise(susan)))<=>(~humble(john)))&
(![X]:((curious(X)|generous(X))=>(happy(X)&tall(X))))&
(![X]:((tall(X)|strong(X))=>(brave(X)|~tall(X))))&
((?[X]:(rich(X)))<=>((strong(mary)<~>generous(mary))))&
(((~kind(paul)&humble(paul)))<=>(?[X]:((~brave(X)<~>~creative(X)))))&
((?[X]:((~generous(X)&~humble(X))))<=>... | ~happy(mary) | [] | null | 0 |
Everyone who is curious is both rich and old. Everyone who is not wise is old. If mary is not old or kind then john is either not wise or old and vice versa. If fred is both not wise and not strong then someone is either old or generous and vice versa. Everyone who is patient is not old. If alice is both tall and not t... | Fred is not calm. | neutral | (![X]:(curious(X)=>(rich(X)&old(X))))&
(![X]:(~wise(X)=>old(X)))&
(((~old(mary)|kind(mary)))<=>((~wise(john)<~>old(john))))&
(((~wise(fred)&~strong(fred)))<=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:(patient(X)=>~old(X)))&
(((tall(alice)&~tall(alice)))<=>((~curious(fred)&~creative(fred))))&
(((~quiet(alice)<~>old(alice)... | ~calm(fred) | [] | null | 0 |
Everyone who is rich or patient is either curious or not curious. If lucy is kind or not rich then someone is either tall or kind and vice versa. Everyone who is either not curious or humble is both funny and curious. Everyone who is not generous or funny is both not creative and not quiet. Everyone who is brave or cur... | Lucy is not brave. | neutral | (![X]:((rich(X)|patient(X))=>(curious(X)<~>~curious(X))))&
(((kind(lucy)|~rich(lucy)))<=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:((~curious(X)<~>humble(X))=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(... | ~brave(lucy) | [] | null | 0 |
Everyone who is rich or old is old or happy.
Everyone who is strong or funny is either not kind or not curious.
If john is both not wise and generous then john is both wise and not curious.
Everyone who is funny is not quiet or creative and vice versa.
Everyone who is either funny or not creative is generous or kind.
E... | Susan is not tall. | neutral | (![X]:((rich(X)|old(X))=>(old(X)|happy(X))))&
(![X]:((strong(X)|funny(X))=>(~kind(X)<~>~curious(X))))&
(((~wise(john)&generous(john)))=>((wise(john)&~curious(john))))&
(![X]:(funny(X)<=>(~quiet(X)|creative(X))))&
(![X]:((funny(X)<~>~creative(X))=>(generous(X)|kind(X))))&
(![X]:((~strong(X)<~>~old(X))=>calm(X)))&
(![X]:... | ~tall(susan) | [] | null | 0 |
Everyone who is not wise is either calm or funny and vice versa.
If mary is not kind then someone is both calm and old.
If someone is either not calm or not tall then someone is either tall or not rich.
Everyone who is old or not calm is either not brave or creative and vice versa.
Everyone who is either not wise or st... | Alice is curious. | neutral | (![X]:(~wise(X)<=>(calm(X)<~>funny(X))))&
((~kind(mary))=>(?[X]:((calm(X)&old(X)))))&
((?[X]:((~calm(X)<~>~tall(X))))=>(?[X]:((tall(X)<~>~rich(X)))))&
(![X]:((old(X)|~calm(X))<=>(~brave(X)<~>creative(X))))&
(![X]:((~wise(X)<~>strong(X))=>(kind(X)|~brave(X))))&
(![X]:((~patient(X)&rich(X))=>(old(X)|~strong(X))))&
((?[X]... | curious(alice) | [] | null | 0 |
If alice is not calm or humble then lucy is old or calm.
If paul is either not patient or not kind then someone is not curious.
Everyone who is strong is both not patient and happy and vice versa.
Everyone who is wise or not funny is curious.
If someone is either calm or old then john is both strong and happy and vice ... | John is calm. | entailment | (((~calm(alice)|humble(alice)))=>((old(lucy)|calm(lucy))))&
(((~patient(paul)<~>~kind(paul)))=>(?[X]:(~curious(X))))&
(![X]:(strong(X)<=>(~patient(X)&happy(X))))&
(![X]:((wise(X)|~funny(X))=>curious(X)))&
((?[X]:((calm(X)<~>old(X))))<=>((strong(john)&happy(john))))&
(![X]:((~calm(X)&~patient(X))=>(funny(X)|~strong(X)))... | calm(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6271965689827445766146647
% SZS output start Proof for 6271965689827445766146647
21. calm(john) & tall(john) [input p20]
25. ~calm(john) [input hypothesis]
113. calm(john) [cnf transformation 21]
120. ~calm(john) [cnf transformation 25]
271. $false [subsumption resolution 120,113]
% SZS o... | 0 |
If mary is rich then someone is both humble and not funny.
Everyone who is both old and not creative is either calm or not funny.
Everyone who is both generous and not happy is either not strong or not kind and vice versa.
Everyone who is both not kind and tall is both tall and generous and vice versa.
If susan is not ... | Mary is old. | neutral | ((rich(mary))=>(?[X]:((humble(X)&~funny(X)))))&
(![X]:((old(X)&~creative(X))=>(calm(X)<~>~funny(X))))&
(![X]:((generous(X)&~happy(X))<=>(~strong(X)<~>~kind(X))))&
(![X]:((~kind(X)&tall(X))<=>(tall(X)&generous(X))))&
(((~patient(susan)|~brave(susan)))=>(?[X]:(patient(X))))&
(![X]:((~humble(X)|~rich(X))<=>~generous(X)))&... | old(mary) | [] | null | 0 |
Everyone who is not happy or patient is either not happy or not patient. If paul is either not old or curious then someone is not patient or curious and vice versa. Everyone who is not rich or not calm is not happy and vice versa. Everyone who is both tall and strong is both not strong and kind and vice versa. Everyone... | Fred is not quiet. | neutral | (![X]:((~happy(X)|patient(X))=>(~happy(X)<~>~patient(X))))&
(((~old(paul)<~>curious(paul)))<=>(?[X]:((~patient(X)|curious(X)))))&
(![X]:((~rich(X)|~calm(X))<=>~happy(X)))&
(![X]:((tall(X)&strong(X))<=>(~strong(X)&kind(X))))&
(![X]:((old(X)|~tall(X))=>(~creative(X)&~humble(X))))&
(![X]:((calm(X)&rich(X))<=>(~funny(X)|~b... | ~quiet(fred) | [] | null | 0 |
Everyone who is old is either not wise or not patient.
Everyone who is not kind is either humble or patient.
Everyone who is both not creative and brave is rich.
Everyone who is generous is both happy and strong.
Everyone who is strong or quiet is both humble and not tall and vice versa.
If someone is either humble or ... | Paul is not old. | contradiction | (![X]:(old(X)=>(~wise(X)<~>~patient(X))))&
(![X]:(~kind(X)=>(humble(X)<~>patient(X))))&
(![X]:((~creative(X)&brave(X))=>rich(X)))&
(![X]:(generous(X)=>(happy(X)&strong(X))))&
(![X]:((strong(X)|quiet(X))<=>(humble(X)&~tall(X))))&
((?[X]:((humble(X)<~>~happy(X))))<=>((~generous(paul)<~>wise(paul))))&
((?[X]:((calm(X)<~>h... | ~old(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2526654657986021909670732
% SZS output start Proof for 2526654657986021909670732
13. ! [X0] : ((~happy(X0) <~> old(X0)) <=> happy(X0)) [input p12]
25. ~old(paul) [input hypothesis]
58. ! [X0] : ((((~old(X0) | happy(X0)) & (old(X0) | ~happy(X0))) | ~happy(X0)) & (happy(X0) | ((~happy(X0) |... | 0 |
Everyone who is either happy or patient is both not rich and quiet and vice versa.
If fred is wise then someone is both generous and strong.
If someone is both kind and not creative then someone is patient.
Everyone who is both not creative and not curious is creative and vice versa.
Everyone who is both not rich and w... | John is tall. | contradiction | (![X]:((happy(X)<~>patient(X))<=>(~rich(X)&quiet(X))))&
((wise(fred))=>(?[X]:((generous(X)&strong(X)))))&
((?[X]:((kind(X)&~creative(X))))=>(?[X]:(patient(X))))&
(![X]:((~creative(X)&~curious(X))<=>creative(X)))&
(![X]:((~rich(X)&wise(X))=>(~humble(X)|~kind(X))))&
(![X]:((~calm(X)&~old(X))<=>(~kind(X)|~humble(X))))&
((... | tall(john) | [
"p2",
"p3",
"p5",
"p6",
"p9",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4715501888722366297420590
% SZS output start Proof for 4715501888722366297420590
3. ? [X0] : (~creative(X0) & kind(X0)) => ? [X0] : patient(X0) [input p2]
4. ! [X0] : ((~curious(X0) & ~creative(X0)) <=> creative(X0)) [input p3]
6. ! [X0] : ((~old(X0) & ~calm(X0)) <=> (~humble(X0) | ~kind(... | 0 |
Everyone who is both not old and not patient is generous.
If lucy is rich or quiet then someone is not brave and vice versa.
Everyone who is either tall or not happy is quiet or not humble and vice versa.
If susan is either funny or not wise then someone is either not funny or not calm.
Everyone who is not happy is hum... | Fred is not calm. | contradiction | (![X]:((~old(X)&~patient(X))=>generous(X)))&
(((rich(lucy)|quiet(lucy)))<=>(?[X]:(~brave(X))))&
(![X]:((tall(X)<~>~happy(X))<=>(quiet(X)|~humble(X))))&
(((funny(susan)<~>~wise(susan)))=>(?[X]:((~funny(X)<~>~calm(X)))))&
(![X]:(~happy(X)<=>humble(X)))&
(((wise(susan)|~rich(susan)))=>(?[X]:((~kind(X)&~brave(X)))))&
(![X]... | ~calm(fred) | [
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2131150452206691682669275
% SZS output start Proof for 2131150452206691682669275
12. ! [X0] : (~humble(X0) <=> ~calm(X0)) [input p11]
21. humble(fred) & ~funny(fred) [input p20]
24. ~calm(fred) [input hypothesis]
59. ! [X0] : ((~humble(X0) | calm(X0)) & (~calm(X0) | humble(X0))) [nnf tran... | 0 |
If mary is either patient or not humble then someone is both not kind and calm and vice versa. Everyone who is both rich and happy is both not patient and not strong. Everyone who is either not happy or brave is quiet and vice versa. Everyone who is happy or calm is either rich or humble. Everyone who is either kind or... | John is brave. | contradiction | (((patient(mary)<~>~humble(mary)))<=>(?[X]:((~kind(X)&calm(X)))))&
(![X]:((rich(X)&happy(X))=>(~patient(X)&~strong(X))))&
(![X]:((~happy(X)<~>brave(X))<=>quiet(X)))&
(![X]:((happy(X)|calm(X))=>(rich(X)<~>humble(X))))&
(![X]:((kind(X)<~>rich(X))=>strong(X)))&
(![X]:((funny(X)<~>happy(X))<=>(brave(X)<~>funny(X))))&
(![X]... | brave(john) | [
"p2",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7550314109862931427439891
% SZS output start Proof for 7550314109862931427439891
3. ! [X0] : ((~happy(X0) <~> brave(X0)) <=> quiet(X0)) [input p2]
6. ! [X0] : ((funny(X0) <~> happy(X0)) <=> (brave(X0) <~> funny(X0))) [input p5]
13. ? [X0] : (~patient(X0) & ~quiet(X0)) <=> ? [X0] : (happy(... | 0 |
Everyone who is not patient or not old is wise and vice versa.
If someone is kind then alice is either quiet or not kind.
Everyone who is not old is not brave.
Everyone who is humble or not brave is both not happy and happy.
Everyone who is not brave or happy is not patient or strong and vice versa.
Everyone who is bot... | Susan is not strong. | entailment | (![X]:((~patient(X)|~old(X))<=>wise(X)))&
((?[X]:(kind(X)))=>((quiet(alice)<~>~kind(alice))))&
(![X]:(~old(X)=>~brave(X)))&
(![X]:((humble(X)|~brave(X))=>(~happy(X)&happy(X))))&
(![X]:((~brave(X)|happy(X))<=>(~patient(X)|strong(X))))&
(![X]:((old(X)&calm(X))<=>(kind(X)<~>~patient(X))))&
((?[X]:((~happy(X)<~>quiet(X))))... | ~strong(susan) | [
"p2",
"p3",
"p4",
"p5",
"p7",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7412881826363978747898733
% SZS output start Proof for 7412881826363978747898733
3. ! [X0] : (~old(X0) => ~brave(X0)) [input p2]
4. ! [X0] : ((~brave(X0) | humble(X0)) => (happy(X0) & ~happy(X0))) [input p3]
5. ! [X0] : ((happy(X0) | ~brave(X0)) <=> (strong(X0) | ~patient(X0))) [input p4]... | 0 |
If someone is either curious or wise then someone is both not quiet and creative.
Everyone who is old is either not brave or rich and vice versa.
If someone is either funny or tall then someone is strong and vice versa.
If someone is rich then susan is either not curious or old.
Everyone who is not rich is brave or not... | John is not old. | entailment | ((?[X]:((curious(X)<~>wise(X))))=>(?[X]:((~quiet(X)&creative(X)))))&
(![X]:(old(X)<=>(~brave(X)<~>rich(X))))&
((?[X]:((funny(X)<~>tall(X))))<=>(?[X]:(strong(X))))&
((?[X]:(rich(X)))=>((~curious(susan)<~>old(susan))))&
(![X]:(~rich(X)<=>(brave(X)|~happy(X))))&
(![X]:(~quiet(X)<=>(~brave(X)&humble(X))))&
((?[X]:(~kind(X)... | ~old(john) | [
"p0",
"p1",
"p4",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4495158373953638457847161
% SZS output start Proof for 4495158373953638457847161
1. ? [X0] : (curious(X0) <~> wise(X0)) => ? [X0] : (creative(X0) & ~quiet(X0)) [input p0]
2. ! [X0] : (old(X0) <=> (~brave(X0) <~> rich(X0))) [input p1]
5. ! [X0] : (~rich(X0) <=> (~happy(X0) | brave(X0))) [i... | 0 |
If mary is not brave then someone is either not quiet or not patient.
If someone is not curious or not kind then someone is both not kind and not brave and vice versa.
Everyone who is not strong or generous is calm or generous and vice versa.
If john is both not quiet and funny then someone is either not kind or not ta... | Alice is rich. | entailment | ((~brave(mary))=>(?[X]:((~quiet(X)<~>~patient(X)))))&
((?[X]:((~curious(X)|~kind(X))))<=>(?[X]:((~kind(X)&~brave(X)))))&
(![X]:((~strong(X)|generous(X))<=>(calm(X)|generous(X))))&
(((~quiet(john)&funny(john)))<=>(?[X]:((~kind(X)<~>~tall(X)))))&
(((~humble(lucy)&~old(lucy)))<=>(?[X]:(wise(X))))&
(![X]:(happy(X)<=>(~stro... | rich(alice) | [
"p3",
"p4",
"p5",
"p7",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5086870185360375601420675
% SZS output start Proof for 5086870185360375601420675
4. (funny(john) & ~quiet(john)) <=> ? [X0] : (~kind(X0) <~> ~tall(X0)) [input p3]
5. (~old(lucy) & ~humble(lucy)) <=> ? [X0] : wise(X0) [input p4]
6. ! [X0] : (happy(X0) <=> (~strong(X0) <~> ~funny(X0))) [inp... | 0 |
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