premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is both not patient and wise then someone is both not creative and humble.
If someone is both not generous and brave then alice is old.
If fred is kind or generous then paul is quiet or curious and vice versa.
Everyone who is either kind or curious is both funny and not curious.
If susan is both not strong a... | Mary is not funny. | entailment | ((?[X]:((~patient(X)&wise(X))))=>(?[X]:((~creative(X)&humble(X)))))&
((?[X]:((~generous(X)&brave(X))))=>(old(alice)))&
(((kind(fred)|generous(fred)))<=>((quiet(paul)|curious(paul))))&
(![X]:((kind(X)<~>curious(X))=>(funny(X)&~curious(X))))&
(((~strong(susan)&~brave(susan)))=>(~rich(susan)))&
(![X]:((curious(X)<~>~curio... | ~funny(mary) | [
"p1",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7860803489962887403195128
% SZS output start Proof for 7860803489962887403195128
2. ? [X0] : (brave(X0) & ~generous(X0)) => old(alice) [input p1]
6. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (~generous(X0) & ~old(X0))) [input p5]
14. ! [X0] : ((funny(X0) | old(X0)) <=> (brave(X0) & ~cr... | 0 |
If john is not rich or not creative then someone is both tall and not wise and vice versa. If someone is both not patient and not kind then john is both generous and not happy. If paul is not calm then susan is not patient or not quiet and vice versa. If mary is patient then lucy is not humble. If someone is either not... | John is creative. | neutral | (((~rich(john)|~creative(john)))<=>(?[X]:((tall(X)&~wise(X)))))&
((?[X]:((~patient(X)&~kind(X))))=>((generous(john)&~happy(john))))&
((~calm(paul))<=>((~patient(susan)|~quiet(susan))))&
((patient(mary))=>(~humble(lucy)))&
((?[X]:((~patient(X)<~>~kind(X))))=>((~creative(fred)&~old(fred))))&
(![X]:((tall(X)&curious(X))<=... | creative(john) | [] | null | 0 |
If someone is both curious and kind then someone is tall or calm. Everyone who is old or tall is humble. Everyone who is either generous or not happy is curious or rich. Everyone who is both patient and not generous is not quiet and vice versa. Everyone who is not strong is not generous and vice versa. Everyone who is ... | Paul is old. | contradiction | ((?[X]:((curious(X)&kind(X))))=>(?[X]:((tall(X)|calm(X)))))&
(![X]:((old(X)|tall(X))=>humble(X)))&
(![X]:((generous(X)<~>~happy(X))=>(curious(X)|rich(X))))&
(![X]:((patient(X)&~generous(X))<=>~quiet(X)))&
(![X]:(~strong(X)<=>~generous(X)))&
(![X]:(~humble(X)<=>(happy(X)<~>creative(X))))&
(((~kind(susan)|~rich(susan)))<... | old(paul) | [
"p1",
"p3",
"p4",
"p5",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 922095623848071070894168
% SZS output start Proof for 922095623848071070894168
2. ! [X0] : ((tall(X0) | old(X0)) => humble(X0)) [input p1]
4. ! [X0] : ((~generous(X0) & patient(X0)) <=> ~quiet(X0)) [input p3]
5. ! [X0] : (~strong(X0) <=> ~generous(X0)) [input p4]
6. ! [X0] : (~humble(X0) ... | 0 |
Everyone who is either not happy or curious is both funny and humble and vice versa.
Everyone who is both not quiet and generous is not happy or old and vice versa.
If someone is not tall then alice is both curious and not patient.
If someone is either not kind or wise then john is quiet or rich.
If alice is both patie... | Paul is quiet. | contradiction | (![X]:((~happy(X)<~>curious(X))<=>(funny(X)&humble(X))))&
(![X]:((~quiet(X)&generous(X))<=>(~happy(X)|old(X))))&
((?[X]:(~tall(X)))=>((curious(alice)&~patient(alice))))&
((?[X]:((~kind(X)<~>wise(X))))=>((quiet(john)|rich(john))))&
(((patient(alice)&~humble(alice)))=>(?[X]:((~creative(X)&~calm(X)))))&
((?[X]:((~curious(... | quiet(paul) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2465280531223870856460017
% SZS output start Proof for 2465280531223870856460017
2. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> (old(X0) | ~happy(X0))) [input p1]
13. ! [X0] : ((old(X0) | quiet(X0)) <=> (old(X0) | ~happy(X0))) [input p12]
24. quiet(paul) [input hypothesis]
39. ! [X0] : (((g... | 0 |
If susan is not rich then lucy is both wise and generous. Everyone who is not humble is not quiet and vice versa. Everyone who is either not strong or wise is either not humble or not calm. Everyone who is quiet is not kind or humble and vice versa. Everyone who is quiet or not rich is old or not humble. Everyone who i... | Alice is not humble. | contradiction | ((~rich(susan))=>((wise(lucy)&generous(lucy))))&
(![X]:(~humble(X)<=>~quiet(X)))&
(![X]:((~strong(X)<~>wise(X))=>(~humble(X)<~>~calm(X))))&
(![X]:(quiet(X)<=>(~kind(X)|humble(X))))&
(![X]:((quiet(X)|~rich(X))=>(old(X)|~humble(X))))&
(![X]:((~funny(X)|kind(X))=>(quiet(X)&~creative(X))))&
(![X]:(~kind(X)<=>wise(X)))&
(![... | ~humble(alice) | [
"p1",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1086871409247646467322234
% SZS output start Proof for 1086871409247646467322234
2. ! [X0] : (~humble(X0) <=> ~quiet(X0)) [input p1]
4. ! [X0] : (quiet(X0) <=> (humble(X0) | ~kind(X0))) [input p3]
6. ! [X0] : ((kind(X0) | ~funny(X0)) => (~creative(X0) & quiet(X0))) [input p5]
23. ~humble(... | 0 |
Everyone who is not happy is humble or not strong and vice versa. If john is not humble then paul is both not humble and kind. Everyone who is tall is curious. If someone is not calm then lucy is wise and vice versa. Everyone who is both not humble and patient is either not curious or not calm. Everyone who is both hum... | Paul is strong. | contradiction | (![X]:(~happy(X)<=>(humble(X)|~strong(X))))&
((~humble(john))=>((~humble(paul)&kind(paul))))&
(![X]:(tall(X)=>curious(X)))&
((?[X]:(~calm(X)))<=>(wise(lucy)))&
(![X]:((~humble(X)&patient(X))=>(~curious(X)<~>~calm(X))))&
(![X]:((humble(X)&~creative(X))=>(~strong(X)&brave(X))))&
(![X]:((humble(X)|happy(X))=>(~tall(X)&gen... | strong(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4700249153489257576677907
% SZS output start Proof for 4700249153489257576677907
11. ! [X0] : ((~strong(X0) | wise(X0)) <=> ~wise(X0)) [input p10]
23. strong(paul) [input hypothesis]
48. ! [X0] : (((~strong(X0) | wise(X0)) | wise(X0)) & (~wise(X0) | (strong(X0) & ~wise(X0)))) [nnf transfo... | 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 strong is either kind or not generous. Everyone who is not brave is not creative and vice versa. Everyone who is either no... | Paul is old. | neutral | (![X]:((~quiet(X)&generous(X))<=>(~happy(X)|creative(X))))&
(![X]:(calm(X)<=>quiet(X)))&
(![X]:(tall(X)=>(~happy(X)<~>funny(X))))&
(![X]:(strong(X)=>(kind(X)<~>~generous(X))))&
(![X]:(~brave(X)<=>~creative(X)))&
(![X]:((~calm(X)<~>happy(X))<=>brave(X)))&
(((~patient(mary)|~creative(mary)))=>(?[X]:((~curious(X)&~humble(... | old(paul) | [] | null | 0 |
Everyone who is either patient or not rich is not calm or not rich and vice versa.
Everyone who is not kind is either not calm or rich and vice versa.
Everyone who is either kind or not quiet is funny or rich.
Everyone who is not strong is both not creative and not patient and vice versa.
Everyone who is not kind or no... | Paul is rich. | contradiction | (![X]:((patient(X)<~>~rich(X))<=>(~calm(X)|~rich(X))))&
(![X]:(~kind(X)<=>(~calm(X)<~>rich(X))))&
(![X]:((kind(X)<~>~quiet(X))=>(funny(X)|rich(X))))&
(![X]:(~strong(X)<=>(~creative(X)&~patient(X))))&
(![X]:((~kind(X)|~humble(X))<=>(~curious(X)|~quiet(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((funny(X)|~generous(X)))))&
(!... | rich(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6891518876841217180463227
% SZS output start Proof for 6891518876841217180463227
12. ! [X0] : ((wise(X0) <~> ~wise(X0)) => (brave(X0) & ~rich(X0))) [input p11]
22. rich(paul) [input hypothesis]
30. ! [X0] : ((brave(X0) & ~rich(X0)) | (wise(X0) <=> ~wise(X0))) [ennf transformation 12]
59. ... | 0 |
If paul is both quiet and curious then someone is not old or patient and vice versa.
If someone is not curious then paul is both creative and old and vice versa.
If susan is either not humble or not generous then fred is not wise or wise.
If someone is not brave then alice is not happy and vice versa.
Everyone who is n... | Mary is not humble. | contradiction | (((quiet(paul)&curious(paul)))<=>(?[X]:((~old(X)|patient(X)))))&
((?[X]:(~curious(X)))<=>((creative(paul)&old(paul))))&
(((~humble(susan)<~>~generous(susan)))=>((~wise(fred)|wise(fred))))&
((?[X]:(~brave(X)))<=>(~happy(alice)))&
(![X]:((~strong(X)|~old(X))=>~creative(X)))&
(![X]:((curious(X)<~>creative(X))<=>(~old(X)<~... | ~humble(mary) | [
"p3",
"p4",
"p12",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6674803765604290338976318
% SZS output start Proof for 6674803765604290338976318
4. ? [X0] : ~brave(X0) <=> ~happy(alice) [input p3]
5. ! [X0] : ((~old(X0) | ~strong(X0)) => ~creative(X0)) [input p4]
13. ! [X0] : (~humble(X0) <=> (~brave(X0) & happy(X0))) [input p12]
15. ! [X0] : ((~quiet... | 0 |
Everyone who is old or creative is both strong and not rich.
If fred is not curious then alice is either not brave or curious and vice versa.
Everyone who is not kind or not calm is patient.
Everyone who is not patient is happy or funny.
Everyone who is not calm or creative is old or patient.
If someone is humble then ... | Alice is tall. | entailment | (![X]:((old(X)|creative(X))=>(strong(X)&~rich(X))))&
((~curious(fred))<=>((~brave(alice)<~>curious(alice))))&
(![X]:((~kind(X)|~calm(X))=>patient(X)))&
(![X]:(~patient(X)=>(happy(X)|funny(X))))&
(![X]:((~calm(X)|creative(X))=>(old(X)|patient(X))))&
((?[X]:(humble(X)))<=>(rich(lucy)))&
((?[X]:((~humble(X)&rich(X))))<=>(... | tall(alice) | [
"p0",
"p2",
"p5",
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3499377352023313094366115
% SZS output start Proof for 3499377352023313094366115
1. ! [X0] : ((creative(X0) | old(X0)) => (~rich(X0) & strong(X0))) [input p0]
3. ! [X0] : ((~calm(X0) | ~kind(X0)) => patient(X0)) [input p2]
6. ? [X0] : humble(X0) <=> rich(lucy) [input p5]
8. ! [X0] : ((cal... | 0 |
If someone is either funny or happy then someone is either patient or not patient. If someone is both not brave and rich then susan is either not wise or strong and vice versa. Everyone who is either not brave or kind is not strong. If someone is not quiet then alice is both wise and kind. If alice is either not quiet ... | Susan is wise. | contradiction | ((?[X]:((funny(X)<~>happy(X))))=>(?[X]:((patient(X)<~>~patient(X)))))&
((?[X]:((~brave(X)&rich(X))))<=>((~wise(susan)<~>strong(susan))))&
(![X]:((~brave(X)<~>kind(X))=>~strong(X)))&
((?[X]:(~quiet(X)))=>((wise(alice)&kind(alice))))&
(((~quiet(alice)<~>funny(alice)))=>(?[X]:((~kind(X)<~>creative(X)))))&
(![X]:(~brave(X)... | wise(susan) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8903371787892541943405535
% SZS output start Proof for 8903371787892541943405535
6. ! [X0] : (~brave(X0) => (~wise(X0) & ~strong(X0))) [input p5]
8. ! [X0] : ((quiet(X0) | ~quiet(X0)) <=> (~brave(X0) & kind(X0))) [input p7]
21. wise(susan) [input hypothesis]
31. ! [X0] : ((~wise(X0) & ~st... | 0 |
Everyone who is not rich is creative.
Everyone who is either tall or funny is not generous.
Everyone who is quiet is both patient and not rich and vice versa.
Everyone who is either quiet or not old is strong or not humble.
Everyone who is patient or curious is both curious and strong and vice versa.
Everyone who is no... | Lucy is not patient. | contradiction | (![X]:(~rich(X)=>creative(X)))&
(![X]:((tall(X)<~>funny(X))=>~generous(X)))&
(![X]:(quiet(X)<=>(patient(X)&~rich(X))))&
(![X]:((quiet(X)<~>~old(X))=>(strong(X)|~humble(X))))&
(![X]:((patient(X)|curious(X))<=>(curious(X)&strong(X))))&
(![X]:((~kind(X)|~patient(X))<=>~humble(X)))&
(![X]:(~calm(X)=>(~creative(X)|wise(X)))... | ~patient(lucy) | [
"p0",
"p2",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8379847549591372300526621
% SZS output start Proof for 8379847549591372300526621
1. ! [X0] : (~rich(X0) => creative(X0)) [input p0]
3. ! [X0] : (quiet(X0) <=> (~rich(X0) & patient(X0))) [input p2]
11. ! [X0] : ((~rich(X0) | patient(X0)) => ~creative(X0)) [input p10]
12. ! [X0] : (rich(X0)... | 0 |
If lucy is either wise or calm then paul is quiet and vice versa. If susan is not wise then someone is not happy or patient and vice versa. Everyone who is not strong or brave is generous or curious. If someone is both not generous and creative then mary is both not strong and not curious. If paul is not funny then som... | John is not curious. | contradiction | (((wise(lucy)<~>calm(lucy)))<=>(quiet(paul)))&
((~wise(susan))<=>(?[X]:((~happy(X)|patient(X)))))&
(![X]:((~strong(X)|brave(X))=>(generous(X)|curious(X))))&
((?[X]:((~generous(X)&creative(X))))=>((~strong(mary)&~curious(mary))))&
((~funny(paul))<=>(?[X]:(calm(X))))&
(![X]:(strong(X)<=>(~happy(X)|humble(X))))&
(![X]:((~... | ~curious(john) | [
"p11",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9128038767016830183467650
% SZS output start Proof for 9128038767016830183467650
12. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p11]
13. ! [X0] : ((~wise(X0) <~> ~happy(X0)) <=> (kind(X0) & humble(X0))) [input p12]
14. ! [X0] : ((kind(X0) | old(X0)) <=> (strong(X0) & ~creative(X0))) [inp... | 0 |
If someone is both not calm and not brave then someone is creative or curious and vice versa.
Everyone who is either quiet or humble is either strong or not humble and vice versa.
If lucy is both not funny and generous then fred is both not generous and not happy and vice versa.
If lucy is both not rich and curious the... | Fred is not brave. | neutral | ((?[X]:((~calm(X)&~brave(X))))<=>(?[X]:((creative(X)|curious(X)))))&
(![X]:((quiet(X)<~>humble(X))<=>(strong(X)<~>~humble(X))))&
(((~funny(lucy)&generous(lucy)))<=>((~generous(fred)&~happy(fred))))&
(((~rich(lucy)&curious(lucy)))=>(~kind(mary)))&
((?[X]:((brave(X)|kind(X))))=>(?[X]:((~humble(X)|~calm(X)))))&
(![X]:((ha... | ~brave(fred) | [] | null | 0 |
Everyone who is either not brave or not generous is both not brave and not tall and vice versa.
If someone is not wise or humble then mary is patient or strong.
If lucy is curious then someone is not brave and vice versa.
Everyone who is not old or not brave is either happy or not old.
Everyone who is curious or tall i... | Paul is tall. | contradiction | (![X]:((~brave(X)<~>~generous(X))<=>(~brave(X)&~tall(X))))&
((?[X]:((~wise(X)|humble(X))))=>((patient(mary)|strong(mary))))&
((curious(lucy))<=>(?[X]:(~brave(X))))&
(![X]:((~old(X)|~brave(X))=>(happy(X)<~>~old(X))))&
(![X]:((curious(X)|tall(X))=>calm(X)))&
((?[X]:((tall(X)&~curious(X))))=>((~brave(paul)|~creative(paul)... | tall(paul) | [
"p0",
"p9",
"p10",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6267654882893338957657081
% SZS output start Proof for 6267654882893338957657081
1. ! [X0] : ((~brave(X0) <~> ~generous(X0)) <=> (~tall(X0) & ~brave(X0))) [input p0]
10. ! [X0] : ((~wise(X0) | ~funny(X0)) => (~wise(X0) & strong(X0))) [input p9]
11. ! [X0] : ((tall(X0) & ~curious(X0)) <=> ... | 0 |
Everyone who is wise or not generous is quiet and vice versa.
If fred is both creative and not old then someone is not quiet or kind and vice versa.
Everyone who is both not tall and creative is either creative or not happy and vice versa.
Everyone who is not generous is both not patient and not brave.
Everyone who is ... | Fred is not rich. | entailment | (![X]:((wise(X)|~generous(X))<=>quiet(X)))&
(((creative(fred)&~old(fred)))<=>(?[X]:((~quiet(X)|kind(X)))))&
(![X]:((~tall(X)&creative(X))<=>(creative(X)<~>~happy(X))))&
(![X]:(~generous(X)=>(~patient(X)&~brave(X))))&
(![X]:((~kind(X)<~>~patient(X))<=>(~calm(X)|tall(X))))&
(![X]:(creative(X)=>(~rich(X)&~patient(X))))&
(... | ~rich(fred) | [
"p1",
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2418409495999368962756450
% SZS output start Proof for 2418409495999368962756450
2. (~old(fred) & creative(fred)) <=> ? [X0] : (kind(X0) | ~quiet(X0)) [input p1]
6. ! [X0] : (creative(X0) => (~patient(X0) & ~rich(X0))) [input p5]
19. ? [X0] : (~old(X0) & ~quiet(X0)) [input p18]
22. rich(f... | 0 |
Everyone who is both not wise and not brave is not quiet or not old and vice versa.
If lucy is either not strong or quiet then someone is either brave or not generous.
Everyone who is not creative or not strong is quiet and vice versa.
Everyone who is either not brave or strong is not calm.
If someone is either not kin... | Alice is not rich. | neutral | (![X]:((~wise(X)&~brave(X))<=>(~quiet(X)|~old(X))))&
(((~strong(lucy)<~>quiet(lucy)))=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((~creative(X)|~strong(X))<=>quiet(X)))&
(![X]:((~brave(X)<~>strong(X))=>~calm(X)))&
((?[X]:((~kind(X)<~>~patient(X))))=>(?[X]:((~strong(X)<~>~patient(X)))))&
(![X]:((~old(X)|brave(X))<=>(~t... | ~rich(alice) | [] | null | 0 |
Everyone who is either not happy or brave is calm and vice versa.
Everyone who is rich is both quiet and strong and vice versa.
If someone is not patient or old then lucy is both not quiet and patient and vice versa.
Everyone who is either not wise or not curious is patient and vice versa.
Everyone who is either not qu... | Paul is not generous. | entailment | (![X]:((~happy(X)<~>brave(X))<=>calm(X)))&
(![X]:(rich(X)<=>(quiet(X)&strong(X))))&
((?[X]:((~patient(X)|old(X))))<=>((~quiet(lucy)&patient(lucy))))&
(![X]:((~wise(X)<~>~curious(X))<=>patient(X)))&
(![X]:((~quiet(X)<~>~happy(X))<=>tall(X)))&
(((~creative(fred)&rich(fred)))<=>(?[X]:((~humble(X)|~kind(X)))))&
((?[X]:((ha... | ~generous(paul) | [
"p0",
"p1",
"p2",
"p5",
"p8",
"p10",
"p11",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4891451290145317550880923
% SZS output start Proof for 4891451290145317550880923
1. ! [X0] : ((~happy(X0) <~> brave(X0)) <=> calm(X0)) [input p0]
2. ! [X0] : (rich(X0) <=> (strong(X0) & quiet(X0))) [input p1]
3. ? [X0] : (old(X0) | ~patient(X0)) <=> (patient(lucy) & ~quiet(lucy)) [input p... | 0 |
Everyone who is patient or quiet is creative or not humble.
Everyone who is both brave and creative is not brave or not generous and vice versa.
Everyone who is both creative and not patient is either brave or rich.
If someone is either creative or not creative then someone is not old.
If someone is patient or funny th... | Fred is not quiet. | neutral | (![X]:((patient(X)|quiet(X))=>(creative(X)|~humble(X))))&
(![X]:((brave(X)&creative(X))<=>(~brave(X)|~generous(X))))&
(![X]:((creative(X)&~patient(X))=>(brave(X)<~>rich(X))))&
((?[X]:((creative(X)<~>~creative(X))))=>(?[X]:(~old(X))))&
((?[X]:((patient(X)|funny(X))))=>((calm(lucy)|~brave(lucy))))&
(![X]:(~creative(X)<=>... | ~quiet(fred) | [] | null | 0 |
Everyone who is happy is both not generous and not quiet and vice versa.
Everyone who is kind or rich is both not generous and not brave.
Everyone who is both rich and not brave is not tall or not strong.
If paul is not patient then someone is not kind or patient.
Everyone who is either not creative or curious is not k... | Paul is brave. | contradiction | (![X]:(happy(X)<=>(~generous(X)&~quiet(X))))&
(![X]:((kind(X)|rich(X))=>(~generous(X)&~brave(X))))&
(![X]:((rich(X)&~brave(X))=>(~tall(X)|~strong(X))))&
((~patient(paul))=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:((~creative(X)<~>curious(X))=>(~kind(X)|~humble(X))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~strong(X)|wise(X))))... | brave(paul) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 884241075968549335572050
% SZS output start Proof for 884241075968549335572050
2. ! [X0] : ((rich(X0) | kind(X0)) => (~brave(X0) & ~generous(X0))) [input p1]
14. ! [X0] : ((rich(X0) & patient(X0)) <=> (~brave(X0) <~> brave(X0))) [input p13]
22. brave(paul) [input hypothesis]
24. ! [X0] : ... | 0 |
If lucy is not strong or brave then paul is quiet or not quiet.
If mary is both calm and kind then alice is not old or not wise and vice versa.
Everyone who is both curious and quiet is either not generous or not brave.
Everyone who is both old and not happy is not wise or not patient and vice versa.
Everyone who is bo... | Fred is not kind. | neutral | (((~strong(lucy)|brave(lucy)))=>((quiet(paul)|~quiet(paul))))&
(((calm(mary)&kind(mary)))<=>((~old(alice)|~wise(alice))))&
(![X]:((curious(X)&quiet(X))=>(~generous(X)<~>~brave(X))))&
(![X]:((old(X)&~happy(X))<=>(~wise(X)|~patient(X))))&
(![X]:((wise(X)&calm(X))=>(generous(X)|quiet(X))))&
(![X]:((~curious(X)<~>~wise(X))... | ~kind(fred) | [] | null | 0 |
Everyone who is both happy and not patient is either not curious or generous.
Everyone who is either not creative or patient is calm or not rich.
Everyone who is both generous and not creative is either not tall or brave.
If someone is both happy and patient then someone is not humble and vice versa.
If someone is not ... | Susan is quiet. | contradiction | (![X]:((happy(X)&~patient(X))=>(~curious(X)<~>generous(X))))&
(![X]:((~creative(X)<~>patient(X))=>(calm(X)|~rich(X))))&
(![X]:((generous(X)&~creative(X))=>(~tall(X)<~>brave(X))))&
((?[X]:((happy(X)&patient(X))))<=>(?[X]:(~humble(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~creative(X)|~old(X)))))&
(((~tall(paul)<~>tall(paul... | quiet(susan) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4213941611990670482619850
% SZS output start Proof for 4213941611990670482619850
8. ! [X0] : (~curious(X0) <=> quiet(X0)) [input p7]
9. ! [X0] : (~quiet(X0) <=> (happy(X0) | ~curious(X0))) [input p8]
21. quiet(susan) [input hypothesis]
54. ! [X0] : ((~curious(X0) | ~quiet(X0)) & (quiet(X0... | 0 |
Everyone who is both not tall and wise is quiet or not kind and vice versa.
Everyone who is calm or not rich is patient or not rich and vice versa.
If someone is either not creative or brave then alice is either not quiet or calm and vice versa.
If lucy is either not curious or not patient then someone is both wise and... | Mary is kind. | neutral | (![X]:((~tall(X)&wise(X))<=>(quiet(X)|~kind(X))))&
(![X]:((calm(X)|~rich(X))<=>(patient(X)|~rich(X))))&
((?[X]:((~creative(X)<~>brave(X))))<=>((~quiet(alice)<~>calm(alice))))&
(((~curious(lucy)<~>~patient(lucy)))<=>(?[X]:((wise(X)&~funny(X)))))&
(![X]:((~old(X)<~>tall(X))=>(generous(X)&old(X))))&
(![X]:((curious(X)|gen... | kind(mary) | [] | null | 0 |
If someone is humble or funny then someone is not tall.
Everyone who is both happy and not generous is either not wise or not happy and vice versa.
If susan is not tall or not funny then lucy is either creative or not creative and vice versa.
Everyone who is either old or quiet is not patient or curious and vice versa.... | Lucy is not strong. | neutral | ((?[X]:((humble(X)|funny(X))))=>(?[X]:(~tall(X))))&
(![X]:((happy(X)&~generous(X))<=>(~wise(X)<~>~happy(X))))&
(((~tall(susan)|~funny(susan)))<=>((creative(lucy)<~>~creative(lucy))))&
(![X]:((old(X)<~>quiet(X))<=>(~patient(X)|curious(X))))&
(![X]:((~quiet(X)&~rich(X))=>(patient(X)&~tall(X))))&
(![X]:((~wise(X)|calm(X))... | ~strong(lucy) | [] | null | 0 |
Everyone who is either not generous or brave is not quiet and vice versa.
Everyone who is either funny or not tall is funny or not tall and vice versa.
Everyone who is both tall and not curious is calm.
Everyone who is not generous or not brave is humble and vice versa.
Everyone who is both not generous and brave is ri... | Alice is humble. | entailment | (![X]:((~generous(X)<~>brave(X))<=>~quiet(X)))&
(![X]:((funny(X)<~>~tall(X))<=>(funny(X)|~tall(X))))&
(![X]:((tall(X)&~curious(X))=>calm(X)))&
(![X]:((~generous(X)|~brave(X))<=>humble(X)))&
(![X]:((~generous(X)&brave(X))<=>rich(X)))&
(![X]:(old(X)=>generous(X)))&
(![X]:((creative(X)&happy(X))<=>(happy(X)|curious(X))))&... | humble(alice) | [
"p0",
"p2",
"p3",
"p6",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7785342522099733079561236
% SZS output start Proof for 7785342522099733079561236
1. ! [X0] : ((~generous(X0) <~> brave(X0)) <=> ~quiet(X0)) [input p0]
3. ! [X0] : ((~curious(X0) & tall(X0)) => calm(X0)) [input p2]
4. ! [X0] : ((~brave(X0) | ~generous(X0)) <=> humble(X0)) [input p3]
7. ! [... | 0 |
Everyone who is both quiet and not curious is either brave or not kind.
Everyone who is either patient or not creative is both not wise and tall.
If someone is both not wise and not rich then lucy is calm or not wise and vice versa.
Everyone who is kind or patient is both not creative and quiet.
Everyone who is either ... | Susan is not old. | neutral | (![X]:((quiet(X)&~curious(X))=>(brave(X)<~>~kind(X))))&
(![X]:((patient(X)<~>~creative(X))=>(~wise(X)&tall(X))))&
((?[X]:((~wise(X)&~rich(X))))<=>((calm(lucy)|~wise(lucy))))&
(![X]:((kind(X)|patient(X))=>(~creative(X)&quiet(X))))&
(![X]:((~brave(X)<~>happy(X))<=>(old(X)|~humble(X))))&
((?[X]:((calm(X)|creative(X))))<=>... | ~old(susan) | [] | null | 0 |
If susan is not brave then susan is not old.
If someone is not generous then someone is curious.
If mary is not kind or quiet then fred is both kind and not humble.
Everyone who is either not funny or patient is not kind or not brave.
Everyone who is not quiet is not calm or not brave.
If someone is both happy and not ... | Susan is not generous. | neutral | ((~brave(susan))=>(~old(susan)))&
((?[X]:(~generous(X)))=>(?[X]:(curious(X))))&
(((~kind(mary)|quiet(mary)))=>((kind(fred)&~humble(fred))))&
(![X]:((~funny(X)<~>patient(X))=>(~kind(X)|~brave(X))))&
(![X]:(~quiet(X)=>(~calm(X)|~brave(X))))&
((?[X]:((happy(X)&~happy(X))))=>((funny(susan)<~>~wise(susan))))&
(![X]:((~gener... | ~generous(susan) | [] | null | 0 |
Everyone who is both not patient and not creative is patient and vice versa.
Everyone who is either not quiet or not rich is either rich or wise and vice versa.
Everyone who is calm is either kind or not generous.
If paul is either happy or not happy then lucy is both not funny and generous and vice versa.
Everyone who... | Lucy is creative. | entailment | (![X]:((~patient(X)&~creative(X))<=>patient(X)))&
(![X]:((~quiet(X)<~>~rich(X))<=>(rich(X)<~>wise(X))))&
(![X]:(calm(X)=>(kind(X)<~>~generous(X))))&
(((happy(paul)<~>~happy(paul)))<=>((~funny(lucy)&generous(lucy))))&
(![X]:((~happy(X)|funny(X))=>(~creative(X)|kind(X))))&
((~tall(alice))=>(?[X]:((~curious(X)<~>~old(X)))... | creative(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 803327881190559997718960
% SZS output start Proof for 803327881190559997718960
1. ! [X0] : ((~creative(X0) & ~patient(X0)) <=> patient(X0)) [input p0]
25. ~creative(lucy) [input hypothesis]
42. ! [X0] : (((~creative(X0) & ~patient(X0)) | ~patient(X0)) & (patient(X0) | (creative(X0) | pati... | 0 |
Everyone who is both funny and patient is strong. Everyone who is both not strong and wise is wise or not calm. If someone is creative then paul is not generous or not funny and vice versa. If john is either not curious or strong then susan is both not happy and not humble and vice versa. If someone is either happy or ... | Lucy is brave. | neutral | (![X]:((funny(X)&patient(X))=>strong(X)))&
(![X]:((~strong(X)&wise(X))=>(wise(X)|~calm(X))))&
((?[X]:(creative(X)))<=>((~generous(paul)|~funny(paul))))&
(((~curious(john)<~>strong(john)))<=>((~happy(susan)&~humble(susan))))&
((?[X]:((happy(X)<~>~quiet(X))))<=>((humble(lucy)&calm(lucy))))&
(![X]:((~wise(X)<~>kind(X))<=>... | brave(lucy) | [] | null | 0 |
If paul is curious then someone is either tall or funny.
If susan is not quiet then fred is either not brave or not calm.
Everyone who is calm or rich is humble and vice versa.
Everyone who is not brave or calm is both not happy and funny.
Everyone who is both not generous and funny is happy or brave and vice versa.
If... | Paul is brave. | neutral | ((curious(paul))=>(?[X]:((tall(X)<~>funny(X)))))&
((~quiet(susan))=>((~brave(fred)<~>~calm(fred))))&
(![X]:((calm(X)|rich(X))<=>humble(X)))&
(![X]:((~brave(X)|calm(X))=>(~happy(X)&funny(X))))&
(![X]:((~generous(X)&funny(X))<=>(happy(X)|brave(X))))&
(((~creative(fred)|quiet(fred)))<=>(?[X]:(patient(X))))&
(![X]:(generou... | brave(paul) | [] | null | 0 |
Everyone who is either wise or not patient is either not calm or old and vice versa.
Everyone who is both funny and tall is both not funny and happy and vice versa.
Everyone who is both brave and kind is old and vice versa.
If john is both brave and curious then mary is creative.
If john is wise or not quiet then lucy ... | Alice is wise. | contradiction | (![X]:((wise(X)<~>~patient(X))<=>(~calm(X)<~>old(X))))&
(![X]:((funny(X)&tall(X))<=>(~funny(X)&happy(X))))&
(![X]:((brave(X)&kind(X))<=>old(X)))&
(((brave(john)&curious(john)))=>(creative(mary)))&
(((wise(john)|~quiet(john)))=>(quiet(lucy)))&
(![X]:((strong(X)|~old(X))=>(humble(X)<~>~rich(X))))&
(![X]:((old(X)|~funny(X... | wise(alice) | [
"p0",
"p1",
"p2",
"p6",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8463715634059183168262303
% SZS output start Proof for 8463715634059183168262303
1. ! [X0] : ((wise(X0) <~> ~patient(X0)) <=> (~calm(X0) <~> old(X0))) [input p0]
2. ! [X0] : ((tall(X0) & funny(X0)) <=> (happy(X0) & ~funny(X0))) [input p1]
3. ! [X0] : ((kind(X0) & brave(X0)) <=> old(X0)) [... | 0 |
Everyone who is both kind and patient is either curious or not rich.
Everyone who is not curious is not patient or not humble and vice versa.
If lucy is either rich or brave then someone is both funny and not old.
If alice is either funny or not tall then fred is either brave or not tall and vice versa.
If someone is n... | Paul is not happy. | contradiction | (![X]:((kind(X)&patient(X))=>(curious(X)<~>~rich(X))))&
(![X]:(~curious(X)<=>(~patient(X)|~humble(X))))&
(((rich(lucy)<~>brave(lucy)))=>(?[X]:((funny(X)&~old(X)))))&
(((funny(alice)<~>~tall(alice)))<=>((brave(fred)<~>~tall(fred))))&
((?[X]:(~rich(X)))<=>((~quiet(paul)&creative(paul))))&
((?[X]:((~happy(X)|~generous(X))... | ~happy(paul) | [
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1044094745792173163340860
% SZS output start Proof for 1044094745792173163340860
8. ! [X0] : ((quiet(X0) <~> happy(X0)) <=> patient(X0)) [input p7]
10. ! [X0] : ((wise(X0) | quiet(X0)) <=> happy(X0)) [input p9]
16. ! [X0] : ((~patient(X0) <~> quiet(X0)) <=> (quiet(X0) & kind(X0))) [input ... | 0 |
Everyone who is both not humble and not calm is funny and vice versa. If someone is not calm or kind then someone is old. Everyone who is either calm or not wise is both not calm and kind and vice versa. If someone is generous then alice is both curious and rich and vice versa. If someone is both not brave and kind the... | Susan is funny. | neutral | (![X]:((~humble(X)&~calm(X))<=>funny(X)))&
((?[X]:((~calm(X)|kind(X))))=>(?[X]:(old(X))))&
(![X]:((calm(X)<~>~wise(X))<=>(~calm(X)&kind(X))))&
((?[X]:(generous(X)))<=>((curious(alice)&rich(alice))))&
((?[X]:((~brave(X)&kind(X))))<=>(?[X]:((~curious(X)|~generous(X)))))&
((?[X]:((~kind(X)|strong(X))))=>(?[X]:((~old(X)&~c... | funny(susan) | [] | null | 0 |
Everyone who is generous or not patient is old.
If paul is not patient or tall then someone is creative.
If someone is both funny and not creative then fred is both not happy and not calm and vice versa.
Everyone who is not generous or happy is either brave or funny and vice versa.
Everyone who is kind or not brave is ... | Fred is quiet. | entailment | (![X]:((generous(X)|~patient(X))=>old(X)))&
(((~patient(paul)|tall(paul)))=>(?[X]:(creative(X))))&
((?[X]:((funny(X)&~creative(X))))<=>((~happy(fred)&~calm(fred))))&
(![X]:((~generous(X)|happy(X))<=>(brave(X)<~>funny(X))))&
(![X]:((kind(X)|~brave(X))=>(kind(X)&calm(X))))&
(((~creative(susan)<~>creative(susan)))<=>((bra... | quiet(fred) | [
"p0",
"p3",
"p9",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 655330257168718021535013
% SZS output start Proof for 655330257168718021535013
1. ! [X0] : ((~patient(X0) | generous(X0)) => old(X0)) [input p0]
4. ! [X0] : ((happy(X0) | ~generous(X0)) <=> (brave(X0) <~> funny(X0))) [input p3]
10. ! [X0] : (~humble(X0) <=> (~brave(X0) | quiet(X0))) [inpu... | 0 |
If fred is both generous and not wise then susan is both not happy and not patient and vice versa. If susan is both not curious and not tall then someone is funny or not creative. If someone is not strong then someone is generous or wise and vice versa. Everyone who is not funny is either not rich or not calm and vice ... | Paul is strong. | contradiction | (((generous(fred)&~wise(fred)))<=>((~happy(susan)&~patient(susan))))&
(((~curious(susan)&~tall(susan)))=>(?[X]:((funny(X)|~creative(X)))))&
((?[X]:(~strong(X)))<=>(?[X]:((generous(X)|wise(X)))))&
(![X]:(~funny(X)<=>(~rich(X)<~>~calm(X))))&
(![X]:((~old(X)|~patient(X))=>~strong(X)))&
(((~generous(alice)<~>~wise(alice)))... | strong(paul) | [
"p4",
"p6",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4043793897055109654647460
% SZS output start Proof for 4043793897055109654647460
5. ! [X0] : ((~patient(X0) | ~old(X0)) => ~strong(X0)) [input p4]
7. ! [X0] : (curious(X0) => (~funny(X0) & ~strong(X0))) [input p6]
12. ! [X0] : (curious(X0) => funny(X0)) [input p11]
13. ! [X0] : ((~brave(X... | 0 |
If fred is either not rich or old then someone is both tall and rich and vice versa.
If someone is either happy or not quiet then susan is not curious or happy and vice versa.
Everyone who is both curious and not creative is not rich or old and vice versa.
If someone is either not creative or not old then someone is no... | Fred is not curious. | contradiction | (((~rich(fred)<~>old(fred)))<=>(?[X]:((tall(X)&rich(X)))))&
((?[X]:((happy(X)<~>~quiet(X))))<=>((~curious(susan)|happy(susan))))&
(![X]:((curious(X)&~creative(X))<=>(~rich(X)|old(X))))&
((?[X]:((~creative(X)<~>~old(X))))<=>(?[X]:(~humble(X))))&
((?[X]:((creative(X)&~old(X))))<=>(?[X]:((~curious(X)&~tall(X)))))&
(![X]:(... | ~curious(fred) | [
"p0",
"p2",
"p5",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5245471595612424327150218
% SZS output start Proof for 5245471595612424327150218
1. (~rich(fred) <~> old(fred)) <=> ? [X0] : (rich(X0) & tall(X0)) [input p0]
3. ! [X0] : ((~creative(X0) & curious(X0)) <=> (old(X0) | ~rich(X0))) [input p2]
6. ! [X0] : ((~strong(X0) <~> ~curious(X0)) <=> (~... | 0 |
Everyone who is not old or not patient is both not old and not brave and vice versa. If someone is strong or not generous then fred is both not kind and calm and vice versa. Everyone who is brave or not happy is both kind and not calm. Everyone who is rich is wise or not tall. Everyone who is either not curious or not ... | John is not wise. | contradiction | (![X]:((~old(X)|~patient(X))<=>(~old(X)&~brave(X))))&
((?[X]:((strong(X)|~generous(X))))<=>((~kind(fred)&calm(fred))))&
(![X]:((brave(X)|~happy(X))=>(kind(X)&~calm(X))))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(... | ~wise(john) | [
"p1",
"p4",
"p6",
"p7",
"p8",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5098546574123742992368110
% SZS output start Proof for 5098546574123742992368110
2. ? [X0] : (~generous(X0) | strong(X0)) <=> (calm(fred) & ~kind(fred)) [input p1]
5. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p4]
7. ! [X0] : (~rich(X0) <=> (calm(X0) & ~calm(X0))) [inp... | 0 |
If susan is not curious or humble then someone is rich or quiet. Everyone who is not rich or not brave is strong. If paul is not curious then paul is either not curious or not creative and vice versa. If alice is either not patient or creative then someone is either not creative or wise and vice versa. Everyone who is ... | Susan is funny. | neutral | (((~curious(susan)|humble(susan)))=>(?[X]:((rich(X)|quiet(X)))))&
(![X]:((~rich(X)|~brave(X))=>strong(X)))&
((~curious(paul))<=>((~curious(paul)<~>~creative(paul))))&
(((~patient(alice)<~>creative(alice)))<=>(?[X]:((~creative(X)<~>wise(X)))))&
(![X]:((calm(X)&humble(X))=>(~happy(X)&~kind(X))))&
(![X]:((strong(X)|~funny... | funny(susan) | [] | null | 0 |
Everyone who is both calm and patient is not calm or funny.
If someone is both old and not curious then someone is either not funny or not rich and vice versa.
If someone is not happy or not wise then alice is both tall and generous.
Everyone who is not wise or quiet is both not tall and not wise and vice versa.
Everyo... | Alice is not funny. | neutral | (![X]:((calm(X)&patient(X))=>(~calm(X)|funny(X))))&
((?[X]:((old(X)&~curious(X))))<=>(?[X]:((~funny(X)<~>~rich(X)))))&
((?[X]:((~happy(X)|~wise(X))))=>((tall(alice)&generous(alice))))&
(![X]:((~wise(X)|quiet(X))<=>(~tall(X)&~wise(X))))&
(![X]:((curious(X)&brave(X))<=>(curious(X)&~creative(X))))&
(![X]:(~generous(X)<=>(... | ~funny(alice) | [] | null | 0 |
If someone is curious then someone is either not generous or not patient.
If someone is either old or not wise then paul is either not creative or happy.
Everyone who is not humble is not curious or old and vice versa.
If fred is not humble or not funny then paul is both patient and not rich and vice versa.
If someone ... | Susan is not brave. | neutral | ((?[X]:(curious(X)))=>(?[X]:((~generous(X)<~>~patient(X)))))&
((?[X]:((old(X)<~>~wise(X))))=>((~creative(paul)<~>happy(paul))))&
(![X]:(~humble(X)<=>(~curious(X)|old(X))))&
(((~humble(fred)|~funny(fred)))<=>((patient(paul)&~rich(paul))))&
((?[X]:((wise(X)&curious(X))))=>(?[X]:((rich(X)|~happy(X)))))&
((?[X]:((~rich(X)<... | ~brave(susan) | [] | null | 0 |
If someone is not generous or not rich then someone is either not strong or generous. Everyone who is funny is both humble and curious and vice versa. Everyone who is not calm or patient is either not tall or not strong and vice versa. Everyone who is both not strong and not tall is both humble and happy. Everyone who ... | Paul is not calm. | entailment | ((?[X]:((~generous(X)|~rich(X))))=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:(funny(X)<=>(humble(X)&curious(X))))&
(![X]:((~calm(X)|patient(X))<=>(~tall(X)<~>~strong(X))))&
(![X]:((~strong(X)&~tall(X))=>(humble(X)&happy(X))))&
(![X]:((~curious(X)|~patient(X))=>humble(X)))&
(((quiet(lucy)|~tall(lucy)))=>(?[X]:((rich(X... | ~calm(paul) | [
"p1",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4818384640162261166490789
% SZS output start Proof for 4818384640162261166490789
2. ! [X0] : (funny(X0) <=> (curious(X0) & humble(X0))) [input p1]
8. ? [X0] : (funny(X0) | ~humble(X0)) => (rich(susan) & ~rich(susan)) [input p7]
9. ! [X0] : ((~curious(X0) | ~old(X0)) => ~calm(X0)) [input p... | 0 |
If alice is funny then someone is old.
If mary is both rich and not calm then someone is not tall and vice versa.
Everyone who is curious is quiet or not strong and vice versa.
Everyone who is either tall or not humble is either brave or quiet.
If someone is tall then fred is humble.
If fred is calm or strong then some... | Paul is not patient. | contradiction | ((funny(alice))=>(?[X]:(old(X))))&
(((rich(mary)&~calm(mary)))<=>(?[X]:(~tall(X))))&
(![X]:(curious(X)<=>(quiet(X)|~strong(X))))&
(![X]:((tall(X)<~>~humble(X))=>(brave(X)<~>quiet(X))))&
((?[X]:(tall(X)))=>(humble(fred)))&
(((calm(fred)|strong(fred)))<=>(?[X]:((wise(X)|~strong(X)))))&
(![X]:((curious(X)&rich(X))=>(~calm... | ~patient(paul) | [
"p1",
"p2",
"p6",
"p10",
"p14",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7953246412311923243752966
% SZS output start Proof for 7953246412311923243752966
2. (~calm(mary) & rich(mary)) <=> ? [X0] : ~tall(X0) [input p1]
3. ! [X0] : (curious(X0) <=> (~strong(X0) | quiet(X0))) [input p2]
7. ! [X0] : ((rich(X0) & curious(X0)) => (~calm(X0) <~> rich(X0))) [input p6]... | 0 |
Everyone who is either not quiet or not curious is not kind.
If mary is either rich or not curious then mary is both quiet and not tall and vice versa.
Everyone who is not old or strong is not creative or not patient.
Everyone who is not humble is both not rich and rich.
Everyone who is not happy or curious is not kind... | Paul is creative. | contradiction | (![X]:((~quiet(X)<~>~curious(X))=>~kind(X)))&
(((rich(mary)<~>~curious(mary)))<=>((quiet(mary)&~tall(mary))))&
(![X]:((~old(X)|strong(X))=>(~creative(X)|~patient(X))))&
(![X]:(~humble(X)=>(~rich(X)&rich(X))))&
(![X]:((~happy(X)|curious(X))<=>(~kind(X)|~curious(X))))&
(((humble(alice)|happy(alice)))=>((kind(alice)&humbl... | creative(paul) | [
"p3",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8784686405187579513833361
% SZS output start Proof for 8784686405187579513833361
4. ! [X0] : (~humble(X0) => (rich(X0) & ~rich(X0))) [input p3]
8. ! [X0] : ((~quiet(X0) <~> ~humble(X0)) => ~creative(X0)) [input p7]
19. ~quiet(paul) [input p18]
25. creative(paul) [input hypothesis]
33. ! [... | 0 |
If someone is both generous and not calm then lucy is not rich and vice versa.
Everyone who is not strong or happy is either calm or not strong.
Everyone who is generous is either quiet or not generous and vice versa.
Everyone who is both creative and not tall is either not funny or not strong.
Everyone who is either w... | Susan is strong. | entailment | ((?[X]:((generous(X)&~calm(X))))<=>(~rich(lucy)))&
(![X]:((~strong(X)|happy(X))=>(calm(X)<~>~strong(X))))&
(![X]:(generous(X)<=>(quiet(X)<~>~generous(X))))&
(![X]:((creative(X)&~tall(X))=>(~funny(X)<~>~strong(X))))&
(![X]:((wise(X)<~>patient(X))<=>patient(X)))&
(![X]:((happy(X)|~quiet(X))<=>(generous(X)&~old(X))))&
(((... | strong(susan) | [
"p2",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6330202970837941617505296
% SZS output start Proof for 6330202970837941617505296
3. ! [X0] : (generous(X0) <=> (quiet(X0) <~> ~generous(X0))) [input p2]
9. ! [X0] : ((strong(X0) <~> ~kind(X0)) => (strong(X0) & ~curious(X0))) [input p8]
13. ! [X0] : (~quiet(X0) <=> kind(X0)) [input p12]
22... | 0 |
Everyone who is old is either not happy or not kind and vice versa.
Everyone who is curious is both not strong and humble.
Everyone who is not brave is humble and vice versa.
Everyone who is both not kind and not happy is both not curious and not patient and vice versa.
Everyone who is not creative or rich is not old a... | Paul is not happy. | entailment | (![X]:(old(X)<=>(~happy(X)<~>~kind(X))))&
(![X]:(curious(X)=>(~strong(X)&humble(X))))&
(![X]:(~brave(X)<=>humble(X)))&
(![X]:((~kind(X)&~happy(X))<=>(~curious(X)&~patient(X))))&
(![X]:((~creative(X)|rich(X))<=>~old(X)))&
(![X]:((~kind(X)|tall(X))<=>(calm(X)&~curious(X))))&
(![X]:(~rich(X)<=>(~happy(X)|rich(X))))&
(![X]... | ~happy(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4846692718912551483784484
% SZS output start Proof for 4846692718912551483784484
7. ! [X0] : (~rich(X0) <=> (rich(X0) | ~happy(X0))) [input p6]
23. happy(paul) [input hypothesis]
44. ! [X0] : ((~rich(X0) | (~rich(X0) & happy(X0))) & ((rich(X0) | ~happy(X0)) | rich(X0))) [nnf transformatio... | 0 |
Everyone who is either wise or generous is quiet or strong and vice versa.
Everyone who is either not patient or old is both not kind and not old and vice versa.
If someone is both not humble and not tall then alice is kind.
Everyone who is both not rich and humble is not old.
Everyone who is not curious or not old is ... | Fred is not wise. | neutral | (![X]:((wise(X)<~>generous(X))<=>(quiet(X)|strong(X))))&
(![X]:((~patient(X)<~>old(X))<=>(~kind(X)&~old(X))))&
((?[X]:((~humble(X)&~tall(X))))=>(kind(alice)))&
(![X]:((~rich(X)&humble(X))=>~old(X)))&
(![X]:((~curious(X)|~old(X))=>funny(X)))&
(![X]:((~happy(X)|~tall(X))<=>(~happy(X)|patient(X))))&
(![X]:((~kind(X)|~curi... | ~wise(fred) | [] | null | 0 |
If fred is not curious then someone is creative or old and vice versa.
If someone is brave then john is kind or brave.
Everyone who is both not old and old is not quiet and vice versa.
Everyone who is both not happy and generous is both not humble and creative and vice versa.
Everyone who is generous is funny or humble... | Lucy is not wise. | neutral | ((~curious(fred))<=>(?[X]:((creative(X)|old(X)))))&
((?[X]:(brave(X)))=>((kind(john)|brave(john))))&
(![X]:((~old(X)&old(X))<=>~quiet(X)))&
(![X]:((~happy(X)&generous(X))<=>(~humble(X)&creative(X))))&
(![X]:(generous(X)=>(funny(X)|humble(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((~wise(X)|~patient(X)))))&
(((~happy(mary)<~>~f... | ~wise(lucy) | [] | null | 0 |
Everyone who is either not patient or brave is both not rich and rich.
Everyone who is both not curious and happy is either old or funny.
Everyone who is either not rich or not strong is not curious or wise and vice versa.
Everyone who is not strong or curious is wise.
Everyone who is not generous or not brave is both ... | Susan is not patient. | entailment | (![X]:((~patient(X)<~>brave(X))=>(~rich(X)&rich(X))))&
(![X]:((~curious(X)&happy(X))=>(old(X)<~>funny(X))))&
(![X]:((~rich(X)<~>~strong(X))<=>(~curious(X)|wise(X))))&
(![X]:((~strong(X)|curious(X))=>wise(X)))&
(![X]:((~generous(X)|~brave(X))=>(~quiet(X)&~patient(X))))&
(((~funny(mary)|~creative(mary)))=>((~funny(mary)|... | ~patient(susan) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4148175917411111708684089
% SZS output start Proof for 4148175917411111708684089
1. ! [X0] : ((~patient(X0) <~> brave(X0)) => (rich(X0) & ~rich(X0))) [input p0]
5. ! [X0] : ((~brave(X0) | ~generous(X0)) => (~patient(X0) & ~quiet(X0))) [input p4]
22. patient(susan) [input hypothesis]
27. !... | 0 |
Everyone who is calm or kind is strong. Everyone who is generous or calm is both not creative and kind and vice versa. Everyone who is both not curious and curious is not calm. If someone is humble then paul is either not tall or generous and vice versa. If someone is both not kind and strong then paul is both not old ... | Paul is not humble. | neutral | (![X]:((calm(X)|kind(X))=>strong(X)))&
(![X]:((generous(X)|calm(X))<=>(~creative(X)&kind(X))))&
(![X]:((~curious(X)&curious(X))=>~calm(X)))&
((?[X]:(humble(X)))<=>((~tall(paul)<~>generous(paul))))&
((?[X]:((~kind(X)&strong(X))))<=>((~old(paul)&rich(paul))))&
(![X]:((patient(X)&brave(X))<=>(tall(X)|funny(X))))&
(![X]:((... | ~humble(paul) | [] | null | 0 |
If someone is both not patient and not funny then susan is kind or curious and vice versa. If someone is both rich and not brave then someone is not brave. Everyone who is both humble and not brave is not rich or funny. Everyone who is not wise or patient is either quiet or not tall. Everyone who is both curious and no... | Susan is not brave. | entailment | ((?[X]:((~patient(X)&~funny(X))))<=>((kind(susan)|curious(susan))))&
((?[X]:((rich(X)&~brave(X))))=>(?[X]:(~brave(X))))&
(![X]:((humble(X)&~brave(X))=>(~rich(X)|funny(X))))&
(![X]:((~wise(X)|patient(X))=>(quiet(X)<~>~tall(X))))&
(![X]:((curious(X)&~funny(X))=>(wise(X)&brave(X))))&
(![X]:((~rich(X)&~strong(X))<=>(patien... | ~brave(susan) | [
"p3",
"p5",
"p8",
"p9",
"p11",
"p12",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4559250128173653233198543
% SZS output start Proof for 4559250128173653233198543
4. ! [X0] : ((patient(X0) | ~wise(X0)) => (quiet(X0) <~> ~tall(X0))) [input p3]
6. ! [X0] : ((~strong(X0) & ~rich(X0)) <=> (strong(X0) | patient(X0))) [input p5]
9. ! [X0] : ((~tall(X0) & old(X0)) <=> (curiou... | 0 |
Everyone who is funny is not rich and vice versa.
Everyone who is not generous is either not patient or not strong and vice versa.
If someone is both tall and not calm then alice is both strong and old.
If alice is both kind and not tall then john is both not rich and not generous and vice versa.
If someone is not stro... | Alice is not patient. | entailment | (![X]:(funny(X)<=>~rich(X)))&
(![X]:(~generous(X)<=>(~patient(X)<~>~strong(X))))&
((?[X]:((tall(X)&~calm(X))))=>((strong(alice)&old(alice))))&
(((kind(alice)&~tall(alice)))<=>((~rich(john)&~generous(john))))&
((?[X]:((~strong(X)|~calm(X))))<=>(rich(alice)))&
(![X]:(generous(X)=>(rich(X)|~generous(X))))&
(((creative(luc... | ~patient(alice) | [
"p1",
"p4",
"p5",
"p8",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5393804825349673985468702
% SZS output start Proof for 5393804825349673985468702
2. ! [X0] : (~generous(X0) <=> (~patient(X0) <~> ~strong(X0))) [input p1]
5. ? [X0] : (~calm(X0) | ~strong(X0)) <=> rich(alice) [input p4]
6. ! [X0] : (generous(X0) => (~generous(X0) | rich(X0))) [input p5]
9... | 0 |
Everyone who is not generous is both wise and not brave.
Everyone who is both not funny and not brave is both kind and not tall.
If someone is not strong then john is either not creative or not funny and vice versa.
If fred is either quiet or not tall then mary is either not funny or quiet.
Everyone who is not old or n... | Paul is not generous. | contradiction | (![X]:(~generous(X)=>(wise(X)&~brave(X))))&
(![X]:((~funny(X)&~brave(X))=>(kind(X)&~tall(X))))&
((?[X]:(~strong(X)))<=>((~creative(john)<~>~funny(john))))&
(((quiet(fred)<~>~tall(fred)))=>((~funny(mary)<~>quiet(mary))))&
(![X]:((~old(X)|~strong(X))<=>(curious(X)&calm(X))))&
((?[X]:((~wise(X)<~>generous(X))))<=>(?[X]:((... | ~generous(paul) | [
"p4",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2924514493330365859960512
% SZS output start Proof for 2924514493330365859960512
5. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (calm(X0) & curious(X0))) [input p4]
16. ! [X0] : (curious(X0) => (~tall(X0) & ~calm(X0))) [input p15]
22. generous(paul) | ~strong(paul) [input p21]
25. ~generous(pa... | 0 |
If someone is not strong or not creative then john is both not creative and not tall and vice versa.
Everyone who is not humble is not quiet or patient.
If someone is not brave then someone is both calm and strong and vice versa.
If someone is generous or patient then someone is wise or not quiet.
Everyone who is not b... | Lucy is not funny. | neutral | ((?[X]:((~strong(X)|~creative(X))))<=>((~creative(john)&~tall(john))))&
(![X]:(~humble(X)=>(~quiet(X)|patient(X))))&
((?[X]:(~brave(X)))<=>(?[X]:((calm(X)&strong(X)))))&
((?[X]:((generous(X)|patient(X))))=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:(~brave(X)<=>(strong(X)&~funny(X))))&
((~brave(fred))<=>(?[X]:((~wise(X)&~qui... | ~funny(lucy) | [] | null | 0 |
Everyone who is not curious is not happy and vice versa.
Everyone who is not creative or tall is both not quiet and quiet and vice versa.
If someone is either not creative or happy then someone is not creative or happy and vice versa.
Everyone who is either not happy or quiet is tall and vice versa.
Everyone who is ric... | Alice is not quiet. | entailment | (![X]:(~curious(X)<=>~happy(X)))&
(![X]:((~creative(X)|tall(X))<=>(~quiet(X)&quiet(X))))&
((?[X]:((~creative(X)<~>happy(X))))<=>(?[X]:((~creative(X)|happy(X)))))&
(![X]:((~happy(X)<~>quiet(X))<=>tall(X)))&
(![X]:(rich(X)=>(old(X)<~>~tall(X))))&
((?[X]:((tall(X)|~curious(X))))<=>((~wise(fred)&kind(fred))))&
(((quiet(mar... | ~quiet(alice) | [
"p0",
"p1",
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9192052262056239575991696
% SZS output start Proof for 9192052262056239575991696
1. ! [X0] : (~curious(X0) <=> ~happy(X0)) [input p0]
2. ! [X0] : ((tall(X0) | ~creative(X0)) <=> (quiet(X0) & ~quiet(X0))) [input p1]
4. ! [X0] : ((~happy(X0) <~> quiet(X0)) <=> tall(X0)) [input p3]
17. curio... | 0 |
If someone is both not calm and happy then lucy is both not quiet and generous and vice versa.
Everyone who is not humble is either not tall or old and vice versa.
Everyone who is either generous or humble is both humble and not calm and vice versa.
Everyone who is brave is both not rich and not tall and vice versa.
Ev... | Fred is quiet. | neutral | ((?[X]:((~calm(X)&happy(X))))<=>((~quiet(lucy)&generous(lucy))))&
(![X]:(~humble(X)<=>(~tall(X)<~>old(X))))&
(![X]:((generous(X)<~>humble(X))<=>(humble(X)&~calm(X))))&
(![X]:(brave(X)<=>(~rich(X)&~tall(X))))&
(![X]:((patient(X)&old(X))=>(tall(X)|rich(X))))&
(![X]:((~wise(X)|~tall(X))=>(curious(X)|humble(X))))&
((kind(m... | quiet(fred) | [] | null | 0 |
If fred is not rich then someone is wise. If someone is calm then paul is generous and vice versa. If someone is happy then alice is both old and not calm. Everyone who is generous or not funny is not creative. If someone is either happy or funny then susan is both generous and happy and vice versa. If someone is old t... | Lucy is creative. | contradiction | ((~rich(fred))=>(?[X]:(wise(X))))&
((?[X]:(calm(X)))<=>(generous(paul)))&
((?[X]:(happy(X)))=>((old(alice)&~calm(alice))))&
(![X]:((generous(X)|~funny(X))=>~creative(X)))&
((?[X]:((happy(X)<~>funny(X))))<=>((generous(susan)&happy(susan))))&
((?[X]:(old(X)))<=>((rich(lucy)&~rich(lucy))))&
(![X]:((humble(X)&~kind(X))<=>(... | creative(lucy) | [
"p2",
"p3",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4749815409562106048832074
% SZS output start Proof for 4749815409562106048832074
3. ? [X0] : happy(X0) => (~calm(alice) & old(alice)) [input p2]
4. ! [X0] : ((~funny(X0) | generous(X0)) => ~creative(X0)) [input p3]
5. ? [X0] : (happy(X0) <~> funny(X0)) <=> (happy(susan) & generous(susan))... | 0 |
Everyone who is both not quiet and funny is both strong and not generous and vice versa. If paul is rich then lucy is either not strong or not quiet. Everyone who is either wise or not generous is either calm or not curious. Everyone who is rich or creative is strong. Everyone who is not generous or calm is both calm a... | Susan is not calm. | entailment | (![X]:((~quiet(X)&funny(X))<=>(strong(X)&~generous(X))))&
((rich(paul))=>((~strong(lucy)<~>~quiet(lucy))))&
(![X]:((wise(X)<~>~generous(X))=>(calm(X)<~>~curious(X))))&
(![X]:((rich(X)|creative(X))=>strong(X)))&
(![X]:((~generous(X)|calm(X))<=>(calm(X)&funny(X))))&
(((~rich(paul)<~>~kind(paul)))<=>(?[X]:((generous(X)<~>... | ~calm(susan) | [
"p0",
"p4",
"p7",
"p8",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 798665042790823080872911
% SZS output start Proof for 798665042790823080872911
1. ! [X0] : ((funny(X0) & ~quiet(X0)) <=> (~generous(X0) & strong(X0))) [input p0]
5. ! [X0] : ((calm(X0) | ~generous(X0)) <=> (funny(X0) & calm(X0))) [input p4]
8. ! [X0] : (quiet(X0) => ~humble(X0)) [input p7... | 0 |
If paul is either not humble or generous then someone is both patient and tall. If alice is either not happy or calm then someone is not wise or not quiet and vice versa. Everyone who is either not funny or wise is both happy and quiet and vice versa. Everyone who is old is not kind or creative. If someone is not patie... | Alice is kind. | entailment | (((~humble(paul)<~>generous(paul)))=>(?[X]:((patient(X)&tall(X)))))&
(((~happy(alice)<~>calm(alice)))<=>(?[X]:((~wise(X)|~quiet(X)))))&
(![X]:((~funny(X)<~>wise(X))<=>(happy(X)&quiet(X))))&
(![X]:(old(X)=>(~kind(X)|creative(X))))&
((?[X]:((~patient(X)|calm(X))))<=>(~generous(alice)))&
(![X]:((~wise(X)<~>~strong(X))=>ha... | kind(alice) | [
"p4",
"p8",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5539512191839124832209510
% SZS output start Proof for 5539512191839124832209510
5. ? [X0] : (calm(X0) | ~patient(X0)) <=> ~generous(alice) [input p4]
9. ! [X0] : ((kind(X0) & happy(X0)) <=> ~generous(X0)) [input p8]
12. ! [X0] : ((~rich(X0) <~> ~calm(X0)) => (~humble(X0) | ~rich(X0))) [i... | 0 |
If someone is both funny and not quiet then someone is not funny or quiet.
Everyone who is either not humble or not rich is calm and vice versa.
Everyone who is either humble or calm is either strong or rich.
Everyone who is not happy is either not happy or not humble and vice versa.
Everyone who is both not humble and... | Lucy is curious. | neutral | ((?[X]:((funny(X)&~quiet(X))))=>(?[X]:((~funny(X)|quiet(X)))))&
(![X]:((~humble(X)<~>~rich(X))<=>calm(X)))&
(![X]:((humble(X)<~>calm(X))=>(strong(X)<~>rich(X))))&
(![X]:(~happy(X)<=>(~happy(X)<~>~humble(X))))&
(![X]:((~humble(X)&kind(X))<=>(~humble(X)&quiet(X))))&
(((humble(fred)<~>curious(fred)))=>(?[X]:((~humble(X)&~... | curious(lucy) | [] | null | 0 |
Everyone who is either not wise or quiet is either curious or not curious and vice versa. If someone is both not tall and rich then lucy is not tall or not quiet. Everyone who is patient is not brave or patient and vice versa. Everyone who is tall or funny is not humble and vice versa. If someone is both not old and no... | Paul is not brave. | neutral | (![X]:((~wise(X)<~>quiet(X))<=>(curious(X)<~>~curious(X))))&
((?[X]:((~tall(X)&rich(X))))=>((~tall(lucy)|~quiet(lucy))))&
(![X]:(patient(X)<=>(~brave(X)|patient(X))))&
(![X]:((tall(X)|funny(X))<=>~humble(X)))&
((?[X]:((~old(X)&~strong(X))))<=>(~funny(lucy)))&
(![X]:((~happy(X)<~>~wise(X))=>(~calm(X)|~happy(X))))&
((?[X... | ~brave(paul) | [] | null | 0 |
Everyone who is calm is both not humble and generous.
Everyone who is not brave or tall is either not brave or calm.
If someone is not tall or wise then lucy is both curious and not curious and vice versa.
Everyone who is either not old or calm is both not curious and humble and vice versa.
If paul is creative or not k... | Alice is happy. | neutral | (![X]:(calm(X)=>(~humble(X)&generous(X))))&
(![X]:((~brave(X)|tall(X))=>(~brave(X)<~>calm(X))))&
((?[X]:((~tall(X)|wise(X))))<=>((curious(lucy)&~curious(lucy))))&
(![X]:((~old(X)<~>calm(X))<=>(~curious(X)&humble(X))))&
(((creative(paul)|~kind(paul)))<=>(?[X]:((rich(X)<~>~tall(X)))))&
(![X]:(patient(X)<=>(~funny(X)&~qui... | happy(alice) | [] | null | 0 |
If john is funny or quiet then someone is not strong or not quiet.
If someone is patient then mary is not quiet or not kind.
Everyone who is curious is either curious or not humble.
If someone is both not tall and not kind then someone is both strong and generous.
Everyone who is not brave or not curious is tall or not... | Fred is not quiet. | neutral | (((funny(john)|quiet(john)))=>(?[X]:((~strong(X)|~quiet(X)))))&
((?[X]:(patient(X)))=>((~quiet(mary)|~kind(mary))))&
(![X]:(curious(X)=>(curious(X)<~>~humble(X))))&
((?[X]:((~tall(X)&~kind(X))))=>(?[X]:((strong(X)&generous(X)))))&
(![X]:((~brave(X)|~curious(X))=>(tall(X)|~old(X))))&
(![X]:((~old(X)<~>quiet(X))<=>(quiet... | ~quiet(fred) | [] | null | 0 |
Everyone who is both happy and not wise is either creative or curious and vice versa.
Everyone who is humble or not old is creative or not kind.
Everyone who is not funny or brave is not tall or not rich.
If someone is rich then susan is either calm or not curious and vice versa.
Everyone who is not rich or tall is eit... | Susan is patient. | neutral | (![X]:((happy(X)&~wise(X))<=>(creative(X)<~>curious(X))))&
(![X]:((humble(X)|~old(X))=>(creative(X)|~kind(X))))&
(![X]:((~funny(X)|brave(X))=>(~tall(X)|~rich(X))))&
((?[X]:(rich(X)))<=>((calm(susan)<~>~curious(susan))))&
(![X]:((~rich(X)|tall(X))=>(~brave(X)<~>~patient(X))))&
(![X]:(~creative(X)=>(~strong(X)&~quiet(X))... | patient(susan) | [] | null | 0 |
If mary is both not wise and rich then susan is generous and vice versa.
Everyone who is both not kind and wise is not wise and vice versa.
Everyone who is either not strong or not kind is both not brave and brave.
Everyone who is either wise or strong is either rich or humble and vice versa.
Everyone who is both not k... | Susan is patient. | entailment | (((~wise(mary)&rich(mary)))<=>(generous(susan)))&
(![X]:((~kind(X)&wise(X))<=>~wise(X)))&
(![X]:((~strong(X)<~>~kind(X))=>(~brave(X)&brave(X))))&
(![X]:((wise(X)<~>strong(X))<=>(rich(X)<~>humble(X))))&
(![X]:((~kind(X)&~old(X))<=>~patient(X)))&
(((~strong(fred)|calm(fred)))<=>((~curious(john)|rich(john))))&
(((strong(s... | patient(susan) | [
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3303071319862922389614672
% SZS output start Proof for 3303071319862922389614672
2. ! [X0] : ((wise(X0) & ~kind(X0)) <=> ~wise(X0)) [input p1]
5. ! [X0] : ((~old(X0) & ~kind(X0)) <=> ~patient(X0)) [input p4]
23. ~patient(susan) [input hypothesis]
38. ! [X0] : (((wise(X0) & ~kind(X0)) | wi... | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa.
Everyone who is both not rich and strong is not old or creative and vice versa.
Everyone who is either not wise or strong is both not quiet and not happy.
Everyone who is calm is either not wise or not humble.
Everyone who is either ... | John is wise. | entailment | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~rich(X)&strong(X))<=>(~old(X)|creative(X))))&
(![X]:((~wise(X)<~>strong(X))=>(~quiet(X)&~happy(X))))&
(![X]:(calm(X)=>(~wise(X)<~>~humble(X))))&
(![X]:((curious(X)<~>brave(X))<=>(~kind(X)&rich(X))))&
(![X]:((kind(X)|~funny(X))=>(~strong(X)&happy(X))))&
... | wise(john) | [
"p2",
"p3",
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3387026445501505903376051
% SZS output start Proof for 3387026445501505903376051
3. ! [X0] : ((~wise(X0) <~> strong(X0)) => (~happy(X0) & ~quiet(X0))) [input p2]
4. ! [X0] : (calm(X0) => (~wise(X0) <~> ~humble(X0))) [input p3]
6. ! [X0] : ((~funny(X0) | kind(X0)) => (happy(X0) & ~strong(X... | 0 |
Everyone who is humble or not wise is quiet. Everyone who is either not happy or not calm is either not creative or not funny and vice versa. Everyone who is not wise or not happy is both curious and tall. If lucy is either patient or not patient then fred is either not curious or creative. If someone is humble then so... | Fred is not tall. | neutral | (![X]:((humble(X)|~wise(X))=>quiet(X)))&
(![X]:((~happy(X)<~>~calm(X))<=>(~creative(X)<~>~funny(X))))&
(![X]:((~wise(X)|~happy(X))=>(curious(X)&tall(X))))&
(((patient(lucy)<~>~patient(lucy)))=>((~curious(fred)<~>creative(fred))))&
((?[X]:(humble(X)))<=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((~kind(X)&~creative(X))<=>(~... | ~tall(fred) | [] | null | 0 |
Everyone who is either not kind or humble is either not calm or humble and vice versa.
If someone is either rich or not curious then susan is both calm and rich and vice versa.
Everyone who is either not strong or not brave is both patient and not calm.
Everyone who is calm or strong is either kind or not humble.
If so... | Susan is not happy. | contradiction | (![X]:((~kind(X)<~>humble(X))<=>(~calm(X)<~>humble(X))))&
((?[X]:((rich(X)<~>~curious(X))))<=>((calm(susan)&rich(susan))))&
(![X]:((~strong(X)<~>~brave(X))=>(patient(X)&~calm(X))))&
(![X]:((calm(X)|strong(X))=>(kind(X)<~>~humble(X))))&
((?[X]:(happy(X)))=>(?[X]:((happy(X)<~>~generous(X)))))&
(![X]:((~humble(X)&~patient... | ~happy(susan) | [
"p5",
"p8",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6779313086027699945741549
% SZS output start Proof for 6779313086027699945741549
6. ! [X0] : ((~patient(X0) & ~humble(X0)) <=> (~kind(X0) | patient(X0))) [input p5]
9. ! [X0] : ((~quiet(X0) & tall(X0)) <=> (patient(X0) & ~patient(X0))) [input p8]
12. ! [X0] : (~creative(X0) => (patient(X0... | 0 |
Everyone who is calm is old or not creative and vice versa. If alice is either not wise or old then lucy is not humble or old and vice versa. Everyone who is both generous and not funny is not curious and vice versa. Everyone who is either not brave or not generous is wise or tall and vice versa. If someone is either n... | Lucy is kind. | entailment | (![X]:(calm(X)<=>(old(X)|~creative(X))))&
(((~wise(alice)<~>old(alice)))<=>((~humble(lucy)|old(lucy))))&
(![X]:((generous(X)&~funny(X))<=>~curious(X)))&
(![X]:((~brave(X)<~>~generous(X))<=>(wise(X)|tall(X))))&
((?[X]:((~strong(X)<~>~creative(X))))<=>(?[X]:((old(X)<~>~quiet(X)))))&
(![X]:((~rich(X)&kind(X))<=>(~tall(X)|... | kind(lucy) | [
"p0",
"p5",
"p8",
"p10",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 614545873428938748550888
% SZS output start Proof for 614545873428938748550888
1. ! [X0] : (calm(X0) <=> (~creative(X0) | old(X0))) [input p0]
6. ! [X0] : ((kind(X0) & ~rich(X0)) <=> (rich(X0) | ~tall(X0))) [input p5]
9. ! [X0] : (old(X0) <=> (tall(X0) | ~kind(X0))) [input p8]
11. ! [X0] ... | 0 |
If alice is not tall or calm then fred is either not tall or not brave and vice versa.
Everyone who is brave is not kind.
Everyone who is wise or creative is both not quiet and brave and vice versa.
Everyone who is both funny and not strong is either happy or quiet and vice versa.
If someone is either wise or old then ... | Paul is not kind. | entailment | (((~tall(alice)|calm(alice)))<=>((~tall(fred)<~>~brave(fred))))&
(![X]:(brave(X)=>~kind(X)))&
(![X]:((wise(X)|creative(X))<=>(~quiet(X)&brave(X))))&
(![X]:((funny(X)&~strong(X))<=>(happy(X)<~>quiet(X))))&
((?[X]:((wise(X)<~>old(X))))=>(?[X]:(~rich(X))))&
((?[X]:((~old(X)|generous(X))))<=>((brave(paul)&kind(paul))))&
((... | ~kind(paul) | [
"p1",
"p2",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7308733412899343493174423
% SZS output start Proof for 7308733412899343493174423
2. ! [X0] : (brave(X0) => ~kind(X0)) [input p1]
3. ! [X0] : ((creative(X0) | wise(X0)) <=> (brave(X0) & ~quiet(X0))) [input p2]
15. (~patient(john) & wise(john)) <=> (~creative(paul) <~> ~kind(paul)) [input p... | 0 |
Everyone who is not calm is not funny and vice versa. If alice is not brave then someone is not patient or not funny and vice versa. Everyone who is either old or humble is patient or wise. Everyone who is funny or not tall is either rich or wise and vice versa. Everyone who is either not old or tall is either not gene... | Mary is wise. | neutral | (![X]:(~calm(X)<=>~funny(X)))&
((~brave(alice))<=>(?[X]:((~patient(X)|~funny(X)))))&
(![X]:((old(X)<~>humble(X))=>(patient(X)|wise(X))))&
(![X]:((funny(X)|~tall(X))<=>(rich(X)<~>wise(X))))&
(![X]:((~old(X)<~>tall(X))<=>(~generous(X)<~>calm(X))))&
(((~calm(alice)|~curious(alice)))=>(?[X]:((creative(X)<~>~generous(X)))))... | wise(mary) | [] | null | 0 |
Everyone who is either tall or quiet is generous or creative.
If someone is both kind and wise then someone is calm and vice versa.
If someone is not curious or not old then someone is not strong.
Everyone who is not curious is patient.
If fred is both not generous and curious then someone is old and vice versa.
If som... | Lucy is creative. | entailment | (![X]:((tall(X)<~>quiet(X))=>(generous(X)|creative(X))))&
((?[X]:((kind(X)&wise(X))))<=>(?[X]:(calm(X))))&
((?[X]:((~curious(X)|~old(X))))=>(?[X]:(~strong(X))))&
(![X]:(~curious(X)=>patient(X)))&
(((~generous(fred)&curious(fred)))<=>(?[X]:(old(X))))&
((?[X]:((~brave(X)|brave(X))))=>((curious(paul)|~curious(paul))))&
((... | creative(lucy) | [
"p0",
"p1",
"p9",
"p10",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2725056650474006522615676
% SZS output start Proof for 2725056650474006522615676
1. ! [X0] : ((tall(X0) <~> quiet(X0)) => (creative(X0) | generous(X0))) [input p0]
2. ? [X0] : (wise(X0) & kind(X0)) <=> ? [X0] : calm(X0) [input p1]
10. generous(john) <=> ? [X0] : kind(X0) [input p9]
11. ! ... | 0 |
If susan is either humble or not curious then lucy is not rich or old and vice versa.
If someone is not brave or not humble then someone is not creative or rich and vice versa.
Everyone who is either not patient or humble is either old or curious and vice versa.
If john is both not brave and not funny then alice is eit... | John is not happy. | entailment | (((humble(susan)<~>~curious(susan)))<=>((~rich(lucy)|old(lucy))))&
((?[X]:((~brave(X)|~humble(X))))<=>(?[X]:((~creative(X)|rich(X)))))&
(![X]:((~patient(X)<~>humble(X))<=>(old(X)<~>curious(X))))&
(((~brave(john)&~funny(john)))<=>((funny(alice)<~>patient(alice))))&
((?[X]:((calm(X)|wise(X))))=>(?[X]:((~strong(X)|calm(X)... | ~happy(john) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1151305066916051073341433
% SZS output start Proof for 1151305066916051073341433
6. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (brave(X0) | wise(X0))) [input p5]
8. ! [X0] : ((~wise(X0) | happy(X0)) <=> (~brave(X0) & brave(X0))) [input p7]
21. happy(john) [input hypothesis]
42. ! [X0] : ((... | 0 |
Everyone who is either funny or not humble is patient or not generous and vice versa.
Everyone who is humble or kind is both calm and tall and vice versa.
Everyone who is both generous and not brave is either creative or not creative and vice versa.
If someone is either calm or wise then fred is both rich and not curio... | Susan is humble. | neutral | (![X]:((funny(X)<~>~humble(X))<=>(patient(X)|~generous(X))))&
(![X]:((humble(X)|kind(X))<=>(calm(X)&tall(X))))&
(![X]:((generous(X)&~brave(X))<=>(creative(X)<~>~creative(X))))&
((?[X]:((calm(X)<~>wise(X))))=>((rich(fred)&~curious(fred))))&
(![X]:((~rich(X)&~quiet(X))<=>(strong(X)|~creative(X))))&
(((~tall(mary)|funny(m... | humble(susan) | [] | null | 0 |
If someone is both brave and not happy then mary is not humble or old and vice versa.
If someone is wise then john is both brave and humble.
Everyone who is humble is either not old or not curious.
Everyone who is both funny and not kind is both quiet and creative and vice versa.
Everyone who is not wise is strong or n... | Susan is not happy. | entailment | ((?[X]:((brave(X)&~happy(X))))<=>((~humble(mary)|old(mary))))&
((?[X]:(wise(X)))=>((brave(john)&humble(john))))&
(![X]:(humble(X)=>(~old(X)<~>~curious(X))))&
(![X]:((funny(X)&~kind(X))<=>(quiet(X)&creative(X))))&
(![X]:(~wise(X)=>(strong(X)|~kind(X))))&
(((creative(mary)<~>~curious(mary)))<=>(?[X]:((strong(X)|~quiet(X)... | ~happy(susan) | [
"p3",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 217296076748580375279686
% SZS output start Proof for 217296076748580375279686
4. ! [X0] : ((~kind(X0) & funny(X0)) <=> (creative(X0) & quiet(X0))) [input p3]
14. ! [X0] : ((kind(X0) <~> happy(X0)) <=> (patient(X0) | ~quiet(X0))) [input p13]
15. ! [X0] : ((funny(X0) & ~patient(X0)) <=> (k... | 0 |
Everyone who is both creative and wise is generous.
Everyone who is not kind is not curious or creative and vice versa.
If john is not calm then someone is not wise.
If someone is strong or kind then fred is not happy and vice versa.
Everyone who is not strong or kind is not calm and vice versa.
Everyone who is either ... | Fred is not wise. | neutral | (![X]:((creative(X)&wise(X))=>generous(X)))&
(![X]:(~kind(X)<=>(~curious(X)|creative(X))))&
((~calm(john))=>(?[X]:(~wise(X))))&
((?[X]:((strong(X)|kind(X))))<=>(~happy(fred)))&
(![X]:((~strong(X)|kind(X))<=>~calm(X)))&
(![X]:((~humble(X)<~>~rich(X))<=>(~old(X)&patient(X))))&
(![X]:((~rich(X)<~>~happy(X))=>(~happy(X)<~>... | ~wise(fred) | [] | null | 0 |
If john is both generous and old then mary is strong and vice versa.
If paul is both kind and brave then mary is calm.
If john is not happy then mary is both happy and not quiet.
If alice is both wise and not kind then alice is both happy and quiet and vice versa.
If someone is calm then someone is either quiet or wise... | John is curious. | contradiction | (((generous(john)&old(john)))<=>(strong(mary)))&
(((kind(paul)&brave(paul)))=>(calm(mary)))&
((~happy(john))=>((happy(mary)&~quiet(mary))))&
(((wise(alice)&~kind(alice)))<=>((happy(alice)&quiet(alice))))&
((?[X]:(calm(X)))<=>(?[X]:((quiet(X)<~>wise(X)))))&
(![X]:((brave(X)|~strong(X))<=>(generous(X)&~creative(X))))&
((... | curious(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4553418270505248422284258
% SZS output start Proof for 4553418270505248422284258
13. ! [X0] : ((~wise(X0) | wise(X0)) => (~wise(X0) & ~curious(X0))) [input p12]
24. curious(john) [input hypothesis]
36. ! [X0] : ((~wise(X0) & ~curious(X0)) | (wise(X0) & ~wise(X0))) [ennf transformation 13]... | 0 |
Everyone who is either patient or rich is either patient or curious. Everyone who is not generous or patient is not tall. Everyone who is either not curious or not old is both not generous and wise and vice versa. If susan is either not wise or patient then someone is either not rich or not generous. Everyone who is bo... | Susan is wise. | neutral | (![X]:((patient(X)<~>rich(X))=>(patient(X)<~>curious(X))))&
(![X]:((~generous(X)|patient(X))=>~tall(X)))&
(![X]:((~curious(X)<~>~old(X))<=>(~generous(X)&wise(X))))&
(((~wise(susan)<~>patient(susan)))=>(?[X]:((~rich(X)<~>~generous(X)))))&
(![X]:((creative(X)&~kind(X))<=>(wise(X)|~old(X))))&
(![X]:((~generous(X)<~>~calm(... | wise(susan) | [] | null | 0 |
Everyone who is not patient or wise is both old and strong.
Everyone who is either calm or curious is old and vice versa.
If someone is old then mary is both wise and not old and vice versa.
Everyone who is either rich or generous is either not happy or tall and vice versa.
If someone is either curious or not creative ... | Alice is curious. | contradiction | (![X]:((~patient(X)|wise(X))=>(old(X)&strong(X))))&
(![X]:((calm(X)<~>curious(X))<=>old(X)))&
((?[X]:(old(X)))<=>((wise(mary)&~old(mary))))&
(![X]:((rich(X)<~>generous(X))<=>(~happy(X)<~>tall(X))))&
((?[X]:((curious(X)<~>~creative(X))))<=>(?[X]:(~curious(X))))&
(![X]:(happy(X)=>(~calm(X)|~curious(X))))&
(((kind(lucy)|c... | curious(alice) | [
"p0",
"p1",
"p2",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4667384994925725657472435
% SZS output start Proof for 4667384994925725657472435
1. ! [X0] : ((wise(X0) | ~patient(X0)) => (strong(X0) & old(X0))) [input p0]
2. ! [X0] : ((calm(X0) <~> curious(X0)) <=> old(X0)) [input p1]
3. ? [X0] : old(X0) <=> (~old(mary) & wise(mary)) [input p2]
22. ~c... | 0 |
If someone is both generous and not quiet then someone is not patient.
If someone is kind or patient then someone is not generous or not curious.
Everyone who is not curious is strong or not patient and vice versa.
If john is both brave and not rich then alice is both happy and curious.
Everyone who is not rich is both... | Paul is curious. | entailment | ((?[X]:((generous(X)&~quiet(X))))=>(?[X]:(~patient(X))))&
((?[X]:((kind(X)|patient(X))))=>(?[X]:((~generous(X)|~curious(X)))))&
(![X]:(~curious(X)<=>(strong(X)|~patient(X))))&
(((brave(john)&~rich(john)))=>((happy(alice)&curious(alice))))&
(![X]:(~rich(X)<=>(creative(X)&kind(X))))&
(![X]:((~creative(X)<~>creative(X))<=... | curious(paul) | [
"p5",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2323520774639897964726498
% SZS output start Proof for 2323520774639897964726498
6. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> (funny(X0) & brave(X0))) [input p5]
9. ! [X0] : (~kind(X0) <=> (calm(X0) <~> ~calm(X0))) [input p8]
10. ! [X0] : ((strong(X0) | curious(X0)) <=> (~kind(X0) | ... | 0 |
If someone is either old or calm then someone is both not curious and wise and vice versa. Everyone who is curious is either curious or brave. If alice is both not brave and tall then someone is not patient and vice versa. Everyone who is old is both wise and not kind and vice versa. If someone is both not brave and br... | Alice is brave. | entailment | ((?[X]:((old(X)<~>calm(X))))<=>(?[X]:((~curious(X)&wise(X)))))&
(![X]:(curious(X)=>(curious(X)<~>brave(X))))&
(((~brave(alice)&tall(alice)))<=>(?[X]:(~patient(X))))&
(![X]:(old(X)<=>(wise(X)&~kind(X))))&
((?[X]:((~brave(X)&brave(X))))<=>((old(lucy)&funny(lucy))))&
(![X]:((~calm(X)|~tall(X))=>~kind(X)))&
(((funny(lucy)<... | brave(alice) | [
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5909942728716005055109027
% SZS output start Proof for 5909942728716005055109027
10. ? [X0] : (~tall(X0) | ~funny(X0)) => (brave(alice) & patient(alice)) [input p9]
17. ~rich(john) & ~tall(john) [input p16]
25. ~brave(alice) [input hypothesis]
33. (brave(alice) & patient(alice)) | ! [X0] ... | 0 |
If someone is either not brave or calm then someone is funny or strong and vice versa.
Everyone who is not kind is not happy and vice versa.
Everyone who is either not wise or not old is happy or kind.
Everyone who is creative is both not creative and not happy.
Everyone who is humble or not wise is not curious or stro... | Alice is generous. | neutral | ((?[X]:((~brave(X)<~>calm(X))))<=>(?[X]:((funny(X)|strong(X)))))&
(![X]:(~kind(X)<=>~happy(X)))&
(![X]:((~wise(X)<~>~old(X))=>(happy(X)|kind(X))))&
(![X]:(creative(X)=>(~creative(X)&~happy(X))))&
(![X]:((humble(X)|~wise(X))<=>(~curious(X)|strong(X))))&
(![X]:((~kind(X)|~tall(X))<=>(~creative(X)<~>~happy(X))))&
(![X]:(~... | generous(alice) | [] | null | 0 |
Everyone who is strong is generous and vice versa.
If susan is both kind and not wise then someone is not kind and vice versa.
Everyone who is not tall is not quiet and vice versa.
Everyone who is both not funny and not creative is not rich and vice versa.
If someone is both not humble and not strong then someone is ei... | John is humble. | neutral | (![X]:(strong(X)<=>generous(X)))&
(((kind(susan)&~wise(susan)))<=>(?[X]:(~kind(X))))&
(![X]:(~tall(X)<=>~quiet(X)))&
(![X]:((~funny(X)&~creative(X))<=>~rich(X)))&
((?[X]:((~humble(X)&~strong(X))))<=>(?[X]:((kind(X)<~>~happy(X)))))&
(![X]:((creative(X)<~>~old(X))=>(happy(X)&tall(X))))&
(![X]:(~strong(X)=>kind(X)))&
(![X... | humble(john) | [] | null | 0 |
Everyone who is either not kind or kind is both not brave and calm and vice versa.
If paul is either strong or not humble then someone is both not strong and not brave.
Everyone who is both not old and generous is either not old or patient and vice versa.
Everyone who is not brave is either kind or curious.
If mary is ... | Alice is not tall. | neutral | (![X]:((~kind(X)<~>kind(X))<=>(~brave(X)&calm(X))))&
(((strong(paul)<~>~humble(paul)))=>(?[X]:((~strong(X)&~brave(X)))))&
(![X]:((~old(X)&generous(X))<=>(~old(X)<~>patient(X))))&
(![X]:(~brave(X)=>(kind(X)<~>curious(X))))&
(((rich(mary)|~wise(mary)))=>(?[X]:((patient(X)&~tall(X)))))&
((?[X]:(tall(X)))=>(curious(susan))... | ~tall(alice) | [] | null | 0 |
Everyone who is not humble or humble is not kind or not rich and vice versa.
If someone is either quiet or kind then john is either old or not creative and vice versa.
If someone is both calm and not patient then someone is both patient and wise and vice versa.
If someone is either quiet or not rich then someone is eit... | Mary is not old. | contradiction | (![X]:((~humble(X)|humble(X))<=>(~kind(X)|~rich(X))))&
((?[X]:((quiet(X)<~>kind(X))))<=>((old(john)<~>~creative(john))))&
((?[X]:((calm(X)&~patient(X))))<=>(?[X]:((patient(X)&wise(X)))))&
((?[X]:((quiet(X)<~>~rich(X))))=>(?[X]:((~funny(X)<~>tall(X)))))&
(((kind(alice)|~calm(alice)))=>((patient(lucy)|~rich(lucy))))&
(((... | ~old(mary) | [
"p2",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5875330322466841361996262
% SZS output start Proof for 5875330322466841361996262
3. ? [X0] : (~patient(X0) & calm(X0)) <=> ? [X0] : (wise(X0) & patient(X0)) [input p2]
8. ! [X0] : (~patient(X0) <=> (generous(X0) | ~happy(X0))) [input p7]
10. ! [X0] : ((wise(X0) | creative(X0)) <=> generou... | 0 |
Everyone who is generous is not curious.
If mary is wise or quiet then someone is both not generous and not patient and vice versa.
If lucy is either wise or not old then someone is not funny and vice versa.
Everyone who is either quiet or calm is patient or not happy and vice versa.
If someone is either curious or not... | Susan is humble. | contradiction | (![X]:(generous(X)=>~curious(X)))&
(((wise(mary)|quiet(mary)))<=>(?[X]:((~generous(X)&~patient(X)))))&
(((wise(lucy)<~>~old(lucy)))<=>(?[X]:(~funny(X))))&
(![X]:((quiet(X)<~>calm(X))<=>(patient(X)|~happy(X))))&
((?[X]:((curious(X)<~>~strong(X))))<=>(?[X]:((~funny(X)|~curious(X)))))&
(![X]:((~strong(X)|~tall(X))<=>(~pat... | humble(susan) | [
"p3",
"p5",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7223744205499797009584706
% SZS output start Proof for 7223744205499797009584706
4. ! [X0] : ((quiet(X0) <~> calm(X0)) <=> (~happy(X0) | patient(X0))) [input p3]
6. ! [X0] : ((~tall(X0) | ~strong(X0)) <=> (~old(X0) & ~patient(X0))) [input p5]
10. ! [X0] : ((~happy(X0) & ~old(X0)) <=> (tal... | 0 |
Everyone who is not patient is strong and vice versa.
Everyone who is not strong or strong is both not patient and not wise.
Everyone who is old or not tall is not rich or patient and vice versa.
Everyone who is either rich or not rich is not humble or patient.
If mary is not funny or brave then john is both not kind a... | Alice is creative. | contradiction | (![X]:(~patient(X)<=>strong(X)))&
(![X]:((~strong(X)|strong(X))=>(~patient(X)&~wise(X))))&
(![X]:((old(X)|~tall(X))<=>(~rich(X)|patient(X))))&
(![X]:((rich(X)<~>~rich(X))=>(~humble(X)|patient(X))))&
(((~funny(mary)|brave(mary)))=>((~kind(john)&happy(john))))&
((kind(lucy))=>(?[X]:((~calm(X)|~old(X)))))&
(((~wise(susan)... | creative(alice) | [
"p0",
"p1",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8718588814050403256659536
% SZS output start Proof for 8718588814050403256659536
1. ! [X0] : (~patient(X0) <=> strong(X0)) [input p0]
2. ! [X0] : ((strong(X0) | ~strong(X0)) => (~wise(X0) & ~patient(X0))) [input p1]
13. ! [X0] : ((~curious(X0) | ~generous(X0)) => ~strong(X0)) [input p12]
... | 0 |
Everyone who is either not quiet or not generous is both generous and curious.
If someone is tall then someone is both humble and wise and vice versa.
Everyone who is not creative or brave is both not curious and not strong and vice versa.
If lucy is either happy or brave then mary is generous or not rich.
If someone i... | Lucy is quiet. | entailment | (![X]:((~quiet(X)<~>~generous(X))=>(generous(X)&curious(X))))&
((?[X]:(tall(X)))<=>(?[X]:((humble(X)&wise(X)))))&
(![X]:((~creative(X)|brave(X))<=>(~curious(X)&~strong(X))))&
(((happy(lucy)<~>brave(lucy)))=>((generous(mary)|~rich(mary))))&
((?[X]:((~humble(X)|~quiet(X))))=>((~patient(mary)<~>strong(mary))))&
(![X]:((cu... | quiet(lucy) | [
"p0",
"p2",
"p5",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 737806453700797270925856
% SZS output start Proof for 737806453700797270925856
1. ! [X0] : ((~quiet(X0) <~> ~generous(X0)) => (curious(X0) & generous(X0))) [input p0]
3. ! [X0] : ((brave(X0) | ~creative(X0)) <=> (~strong(X0) & ~curious(X0))) [input p2]
6. ! [X0] : ((funny(X0) | curious(X0... | 0 |
Everyone who is not generous is either not creative or not funny and vice versa.
Everyone who is generous or happy is tall and vice versa.
If someone is either not tall or not creative then mary is both rich and not wise.
Everyone who is not humble is either happy or strong and vice versa.
If someone is both creative a... | Paul is not rich. | contradiction | (![X]:(~generous(X)<=>(~creative(X)<~>~funny(X))))&
(![X]:((generous(X)|happy(X))<=>tall(X)))&
((?[X]:((~tall(X)<~>~creative(X))))=>((rich(mary)&~wise(mary))))&
(![X]:(~humble(X)<=>(happy(X)<~>strong(X))))&
((?[X]:((creative(X)&~old(X))))<=>(?[X]:((wise(X)<~>generous(X)))))&
(![X]:((curious(X)&~curious(X))<=>(rich(X)&q... | ~rich(paul) | [
"p0",
"p8",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4430363616811551869906700
% SZS output start Proof for 4430363616811551869906700
1. ! [X0] : (~generous(X0) <=> (~creative(X0) <~> ~funny(X0))) [input p0]
9. ! [X0] : ((~humble(X0) | kind(X0)) <=> rich(X0)) [input p8]
15. ! [X0] : ((~funny(X0) & ~old(X0)) <=> (humble(X0) | ~generous(X0)))... | 0 |
Everyone who is either tall or happy is both not strong and not happy and vice versa.
If someone is not funny then fred is both not strong and not rich.
If someone is happy or not funny then susan is wise or calm.
Everyone who is funny or not curious is both not creative and kind.
Everyone who is funny or curious is bo... | Mary is curious. | contradiction | (![X]:((tall(X)<~>happy(X))<=>(~strong(X)&~happy(X))))&
((?[X]:(~funny(X)))=>((~strong(fred)&~rich(fred))))&
((?[X]:((happy(X)|~funny(X))))=>((wise(susan)|calm(susan))))&
(![X]:((funny(X)|~curious(X))=>(~creative(X)&kind(X))))&
(![X]:((funny(X)|curious(X))<=>(~strong(X)&~wise(X))))&
(((wise(lucy)&calm(lucy)))<=>(strong... | curious(mary) | [
"p0",
"p3",
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 9059098933199665796726362
% SZS output start Proof for 9059098933199665796726362
1. ! [X0] : ((tall(X0) <~> happy(X0)) <=> (~happy(X0) & ~strong(X0))) [input p0]
4. ! [X0] : ((~curious(X0) | funny(X0)) => (kind(X0) & ~creative(X0))) [input p3]
5. ! [X0] : ((curious(X0) | funny(X0)) <=> (~... | 0 |
Everyone who is both old and creative is both not strong and kind.
Everyone who is both curious and generous is not quiet.
If someone is wise or not humble then paul is both not funny and happy.
If someone is both creative and quiet then lucy is wise or not curious and vice versa.
Everyone who is either not funny or wi... | Paul is curious. | contradiction | (![X]:((old(X)&creative(X))=>(~strong(X)&kind(X))))&
(![X]:((curious(X)&generous(X))=>~quiet(X)))&
((?[X]:((wise(X)|~humble(X))))=>((~funny(paul)&happy(paul))))&
((?[X]:((creative(X)&quiet(X))))<=>((wise(lucy)|~curious(lucy))))&
(![X]:((~funny(X)<~>wise(X))=>(wise(X)|~rich(X))))&
((~brave(john))<=>((happy(fred)|strong(... | curious(paul) | [
"p2",
"p5",
"p6",
"p9",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 439885402391886288838477
% SZS output start Proof for 439885402391886288838477
3. ? [X0] : (~humble(X0) | wise(X0)) => (happy(paul) & ~funny(paul)) [input p2]
6. ~brave(john) <=> (strong(fred) | happy(fred)) [input p5]
7. ~strong(fred) <=> (curious(paul) <~> happy(paul)) [input p6]
10. ! ... | 0 |
Everyone who is not creative or generous is not wise or rich and vice versa. Everyone who is not funny or wise is either not creative or not strong and vice versa. Everyone who is both calm and not wise is either kind or not generous and vice versa. If fred is not wise or not patient then john is both wise and not tall... | Fred is not creative. | neutral | (![X]:((~creative(X)|generous(X))<=>(~wise(X)|rich(X))))&
(![X]:((~funny(X)|wise(X))<=>(~creative(X)<~>~strong(X))))&
(![X]:((calm(X)&~wise(X))<=>(kind(X)<~>~generous(X))))&
(((~wise(fred)|~patient(fred)))<=>((wise(john)&~tall(john))))&
(![X]:((calm(X)&~old(X))<=>(~brave(X)|old(X))))&
((?[X]:((wise(X)|curious(X))))=>((... | ~creative(fred) | [] | null | 0 |
If someone is both creative and happy then susan is not generous.
Everyone who is not brave or humble is humble.
If paul is funny then fred is both brave and not patient and vice versa.
Everyone who is either not old or not humble is both not curious and rich and vice versa.
Everyone who is both not tall and generous i... | Mary is not wise. | entailment | ((?[X]:((creative(X)&happy(X))))=>(~generous(susan)))&
(![X]:((~brave(X)|humble(X))=>humble(X)))&
((funny(paul))<=>((brave(fred)&~patient(fred))))&
(![X]:((~old(X)<~>~humble(X))<=>(~curious(X)&rich(X))))&
(![X]:((~tall(X)&generous(X))=>(~patient(X)|~humble(X))))&
(((~old(paul)|~curious(paul)))<=>(~happy(mary)))&
(![X]:... | ~wise(mary) | [
"p3",
"p5",
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7619366959523729586216968
% SZS output start Proof for 7619366959523729586216968
4. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> (rich(X0) & ~curious(X0))) [input p3]
6. (~curious(paul) | ~old(paul)) <=> ~happy(mary) [input p5]
9. ! [X0] : ((creative(X0) | ~rich(X0)) => (rich(X0) | creative(X... | 0 |
Everyone who is either not calm or funny is both not generous and not kind and vice versa.
If lucy is not old or not tall then someone is funny or happy.
Everyone who is both not strong and tall is rich and vice versa.
If someone is both not strong and not quiet then someone is brave or not humble.
Everyone who is both... | John is not happy. | entailment | (![X]:((~calm(X)<~>funny(X))<=>(~generous(X)&~kind(X))))&
(((~old(lucy)|~tall(lucy)))=>(?[X]:((funny(X)|happy(X)))))&
(![X]:((~strong(X)&tall(X))<=>rich(X)))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~kin... | ~happy(john) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5016116810783417801269135
% SZS output start Proof for 5016116810783417801269135
6. ! [X0] : ((~brave(X0) | happy(X0)) => ~kind(X0)) [input p5]
12. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (kind(X0) & tall(X0))) [input p11]
23. happy(john) [input hypothesis]
31. ! [X0] : (~kind(X0) | (br... | 0 |
Everyone who is not quiet is either not rich or rich.
Everyone who is both wise and kind is patient or not kind.
If fred is not old then fred is both not funny and happy and vice versa.
Everyone who is not happy is either brave or not strong.
If mary is calm then mary is humble.
If someone is not quiet or not generous ... | Fred is not curious. | neutral | (![X]:(~quiet(X)=>(~rich(X)<~>rich(X))))&
(![X]:((wise(X)&kind(X))=>(patient(X)|~kind(X))))&
((~old(fred))<=>((~funny(fred)&happy(fred))))&
(![X]:(~happy(X)=>(brave(X)<~>~strong(X))))&
((calm(mary))=>(humble(mary)))&
((?[X]:((~quiet(X)|~generous(X))))=>(?[X]:((generous(X)|~rich(X)))))&
(![X]:((humble(X)<~>wise(X))<=>ta... | ~curious(fred) | [] | null | 0 |
If mary is generous then lucy is not happy or quiet.
Everyone who is creative or patient is either old or generous and vice versa.
Everyone who is either not old or not generous is either not quiet or curious and vice versa.
Everyone who is patient or brave is not happy or not rich.
If alice is not strong or not curiou... | Lucy is not happy. | neutral | ((generous(mary))=>((~happy(lucy)|quiet(lucy))))&
(![X]:((creative(X)|patient(X))<=>(old(X)<~>generous(X))))&
(![X]:((~old(X)<~>~generous(X))<=>(~quiet(X)<~>curious(X))))&
(![X]:((patient(X)|brave(X))=>(~happy(X)|~rich(X))))&
(((~strong(alice)|~curious(alice)))<=>(patient(lucy)))&
((?[X]:((creative(X)<~>~wise(X))))=>(?... | ~happy(lucy) | [] | null | 0 |
If susan is both not tall and not humble then someone is brave or kind.
If mary is strong or calm then lucy is either calm or not kind and vice versa.
If mary is brave or not curious then someone is both not old and not generous and vice versa.
Everyone who is both patient and curious is either old or not old and vice ... | Mary is not funny. | neutral | (((~tall(susan)&~humble(susan)))=>(?[X]:((brave(X)|kind(X)))))&
(((strong(mary)|calm(mary)))<=>((calm(lucy)<~>~kind(lucy))))&
(((brave(mary)|~curious(mary)))<=>(?[X]:((~old(X)&~generous(X)))))&
(![X]:((patient(X)&curious(X))<=>(old(X)<~>~old(X))))&
(![X]:((~old(X)&~kind(X))<=>(~funny(X)|~creative(X))))&
(![X]:((~humble... | ~funny(mary) | [] | null | 0 |
Everyone who is not humble or not curious is patient or not kind and vice versa.
Everyone who is not happy or generous is not patient and vice versa.
Everyone who is strong or not happy is not creative.
If someone is old or kind then someone is either humble or curious.
If lucy is both not wise and creative then mary i... | Fred is strong. | neutral | (![X]:((~humble(X)|~curious(X))<=>(patient(X)|~kind(X))))&
(![X]:((~happy(X)|generous(X))<=>~patient(X)))&
(![X]:((strong(X)|~happy(X))=>~creative(X)))&
((?[X]:((old(X)|kind(X))))=>(?[X]:((humble(X)<~>curious(X)))))&
(((~wise(lucy)&creative(lucy)))<=>(~funny(mary)))&
(![X]:((patient(X)|~kind(X))<=>(~creative(X)<~>tall(... | strong(fred) | [] | null | 0 |
Everyone who is generous is either not tall or patient. Everyone who is not quiet is wise. If mary is funny then paul is rich or not creative and vice versa. If someone is funny or not old then susan is not wise or not generous. If fred is not brave then someone is both not rich and rich. Everyone who is both not stron... | Paul is curious. | neutral | (![X]:(generous(X)=>(~tall(X)<~>patient(X))))&
(![X]:(~quiet(X)=>wise(X)))&
((funny(mary))<=>((rich(paul)|~creative(paul))))&
((?[X]:((funny(X)|~old(X))))=>((~wise(susan)|~generous(susan))))&
((~brave(fred))=>(?[X]:((~rich(X)&rich(X)))))&
(![X]:((~strong(X)&~old(X))=>(rich(X)<~>wise(X))))&
(![X]:((~rich(X)|quiet(X))=>(... | curious(paul) | [] | null | 0 |
Everyone who is humble or not old is both wise and generous. Everyone who is both not quiet and not happy is kind or wise and vice versa. Everyone who is creative or not curious is not curious or not kind and vice versa. If alice is either happy or generous then alice is not happy or not wise. Everyone who is not creat... | Alice is not strong. | neutral | (![X]:((humble(X)|~old(X))=>(wise(X)&generous(X))))&
(![X]:((~quiet(X)&~happy(X))<=>(kind(X)|wise(X))))&
(![X]:((creative(X)|~curious(X))<=>(~curious(X)|~kind(X))))&
(((happy(alice)<~>generous(alice)))=>((~happy(alice)|~wise(alice))))&
(![X]:((~creative(X)|~patient(X))=>~quiet(X)))&
((?[X]:((~curious(X)|~quiet(X))))<=>... | ~strong(alice) | [] | null | 0 |
Everyone who is wise is generous.
Everyone who is humble is either wise or rich.
Everyone who is both creative and not generous is wise and vice versa.
Everyone who is either not patient or not curious is both not humble and funny and vice versa.
Everyone who is not happy or humble is both strong and not rich and vice ... | Susan is humble. | contradiction | (![X]:(wise(X)=>generous(X)))&
(![X]:(humble(X)=>(wise(X)<~>rich(X))))&
(![X]:((creative(X)&~generous(X))<=>wise(X)))&
(![X]:((~patient(X)<~>~curious(X))<=>(~humble(X)&funny(X))))&
(![X]:((~happy(X)|humble(X))<=>(strong(X)&~rich(X))))&
(![X]:((wise(X)|~creative(X))=>(humble(X)<~>brave(X))))&
(((~humble(mary)|quiet(mary... | humble(susan) | [
"p0",
"p1",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4116821110227591302754845
% SZS output start Proof for 4116821110227591302754845
1. ! [X0] : (wise(X0) => generous(X0)) [input p0]
2. ! [X0] : (humble(X0) => (wise(X0) <~> rich(X0))) [input p1]
3. ! [X0] : ((~generous(X0) & creative(X0)) <=> wise(X0)) [input p2]
5. ! [X0] : ((humble(X0) |... | 0 |
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