premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both funny and not brave is patient and vice versa. Everyone who is tall is not patient or not brave and vice versa. If john is not quiet then someone is not brave or tall. If someone is not creative or humble then paul is both not calm and not patient. Everyone who is strong or humble is not quiet or c... | Fred is strong. | neutral | (![X]:((funny(X)&~brave(X))<=>patient(X)))&
(![X]:(tall(X)<=>(~patient(X)|~brave(X))))&
((~quiet(john))=>(?[X]:((~brave(X)|tall(X)))))&
((?[X]:((~creative(X)|humble(X))))=>((~calm(paul)&~patient(paul))))&
(![X]:((strong(X)|humble(X))<=>(~quiet(X)|curious(X))))&
(((~old(john)|patient(john)))=>(?[X]:((brave(X)&old(X)))))... | strong(fred) | [] | null | 0 |
If paul is both wise and not old then john is either funny or not patient and vice versa. Everyone who is old or not old is old or creative and vice versa. Everyone who is not funny or not patient is old. Everyone who is both not creative and not generous is not brave or wise and vice versa. Everyone who is either not ... | Mary is not tall. | entailment | (((wise(paul)&~old(paul)))<=>((funny(john)<~>~patient(john))))&
(![X]:((old(X)|~old(X))<=>(old(X)|creative(X))))&
(![X]:((~funny(X)|~patient(X))=>old(X)))&
(![X]:((~creative(X)&~generous(X))<=>(~brave(X)|wise(X))))&
(![X]:((~rich(X)<~>~brave(X))<=>~strong(X)))&
((?[X]:((~calm(X)&~curious(X))))<=>(?[X]:((~old(X)|funny(X... | ~tall(mary) | [
"p3",
"p6",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2914921972267252151154859
% SZS output start Proof for 2914921972267252151154859
4. ! [X0] : ((~generous(X0) & ~creative(X0)) <=> (wise(X0) | ~brave(X0))) [input p3]
7. ! [X0] : (~humble(X0) <=> (humble(X0) & ~rich(X0))) [input p6]
8. ? [X0] : (funny(X0) | ~strong(X0)) <=> wise(mary) [inp... | 0 |
If someone is not creative or brave then someone is either humble or not calm.
Everyone who is both funny and creative is either not calm or quiet and vice versa.
If mary is both not old and quiet then paul is old.
Everyone who is both curious and calm is not generous and vice versa.
Everyone who is either curious or n... | Susan is not curious. | entailment | ((?[X]:((~creative(X)|brave(X))))=>(?[X]:((humble(X)<~>~calm(X)))))&
(![X]:((funny(X)&creative(X))<=>(~calm(X)<~>quiet(X))))&
(((~old(mary)&quiet(mary)))=>(old(paul)))&
(![X]:((curious(X)&calm(X))<=>~generous(X)))&
(![X]:((curious(X)<~>~creative(X))<=>(~creative(X)<~>~humble(X))))&
((~quiet(susan))<=>((~rich(susan)&hap... | ~curious(susan) | [
"p3",
"p5",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6370553598124661225656839
% SZS output start Proof for 6370553598124661225656839
4. ! [X0] : ((calm(X0) & curious(X0)) <=> ~generous(X0)) [input p3]
6. ~quiet(susan) <=> (happy(susan) & ~rich(susan)) [input p5]
11. ! [X0] : ((~calm(X0) | quiet(X0)) => ~curious(X0)) [input p10]
12. ! [X0] ... | 0 |
Everyone who is both not tall and strong is generous or tall and vice versa.
If alice is not wise then lucy is either not rich or not calm and vice versa.
If alice is either funny or not curious then someone is tall and vice versa.
Everyone who is both calm and kind is not generous or not humble.
Everyone who is either... | Alice is wise. | contradiction | (![X]:((~tall(X)&strong(X))<=>(generous(X)|tall(X))))&
((~wise(alice))<=>((~rich(lucy)<~>~calm(lucy))))&
(((funny(alice)<~>~curious(alice)))<=>(?[X]:(tall(X))))&
(![X]:((calm(X)&kind(X))=>(~generous(X)|~humble(X))))&
(![X]:((creative(X)<~>~patient(X))<=>(brave(X)|generous(X))))&
(![X]:(~creative(X)=>(tall(X)|~wise(X)))... | wise(alice) | [
"p0",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5351832440165107697399840
% SZS output start Proof for 5351832440165107697399840
1. ! [X0] : ((strong(X0) & ~tall(X0)) <=> (tall(X0) | generous(X0))) [input p0]
6. ! [X0] : (~creative(X0) => (~wise(X0) | tall(X0))) [input p5]
7. ! [X0] : ((~old(X0) | ~strong(X0)) => ~creative(X0)) [input ... | 0 |
If fred is both funny and not curious then someone is not kind or patient and vice versa.
Everyone who is happy is both happy and brave and vice versa.
Everyone who is either not rich or curious is either patient or old.
Everyone who is not rich is tall.
Everyone who is not curious is both tall and not kind and vice ve... | Susan is not tall. | entailment | (((funny(fred)&~curious(fred)))<=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:(happy(X)<=>(happy(X)&brave(X))))&
(![X]:((~rich(X)<~>curious(X))=>(patient(X)<~>old(X))))&
(![X]:(~rich(X)=>tall(X)))&
(![X]:(~curious(X)<=>(tall(X)&~kind(X))))&
(![X]:((old(X)|kind(X))=>kind(X)))&
(((funny(fred)&generous(fred)))<=>((wise(susan)&... | ~tall(susan) | [
"p0",
"p4",
"p7",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 917187729406030468120088
% SZS output start Proof for 917187729406030468120088
1. (~curious(fred) & funny(fred)) <=> ? [X0] : (patient(X0) | ~kind(X0)) [input p0]
5. ! [X0] : (~curious(X0) <=> (~kind(X0) & tall(X0))) [input p4]
8. kind(fred) <=> ? [X0] : (happy(X0) | ~creative(X0)) [input... | 0 |
Everyone who is either creative or strong is generous and vice versa.
Everyone who is quiet or not curious is either not calm or kind.
If mary is not quiet or patient then lucy is both happy and not happy.
Everyone who is brave is curious or humble.
If fred is either quiet or brave then someone is not funny.
Everyone w... | Mary is not quiet. | contradiction | (![X]:((creative(X)<~>strong(X))<=>generous(X)))&
(![X]:((quiet(X)|~curious(X))=>(~calm(X)<~>kind(X))))&
(((~quiet(mary)|patient(mary)))=>((happy(lucy)&~happy(lucy))))&
(![X]:(brave(X)=>(curious(X)|humble(X))))&
(((quiet(fred)<~>brave(fred)))=>(?[X]:(~funny(X))))&
(![X]:((humble(X)|funny(X))=>(calm(X)<~>~old(X))))&
(![... | ~quiet(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3982913196742773022789433
% SZS output start Proof for 3982913196742773022789433
3. (patient(mary) | ~quiet(mary)) => (~happy(lucy) & happy(lucy)) [input p2]
25. ~quiet(mary) [input hypothesis]
29. (~happy(lucy) & happy(lucy)) | (~patient(mary) & quiet(mary)) [ennf transformation 3]
79. h... | 0 |
If someone is generous then someone is not brave or patient and vice versa.
If mary is not creative then someone is either not funny or not kind and vice versa.
Everyone who is generous is both old and not happy and vice versa.
Everyone who is patient or not calm is both not tall and not kind.
Everyone who is either no... | Fred is rich. | contradiction | ((?[X]:(generous(X)))<=>(?[X]:((~brave(X)|patient(X)))))&
((~creative(mary))<=>(?[X]:((~funny(X)<~>~kind(X)))))&
(![X]:(generous(X)<=>(old(X)&~happy(X))))&
(![X]:((patient(X)|~calm(X))=>(~tall(X)&~kind(X))))&
(![X]:((~strong(X)<~>funny(X))<=>(humble(X)&~happy(X))))&
(![X]:(~kind(X)<=>creative(X)))&
(((~rich(fred)<~>~pa... | rich(fred) | [
"p3",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2651358207266035609681076
% SZS output start Proof for 2651358207266035609681076
4. ! [X0] : ((~calm(X0) | patient(X0)) => (~kind(X0) & ~tall(X0))) [input p3]
13. ! [X0] : ((~tall(X0) <~> patient(X0)) <=> ~rich(X0)) [input p12]
21. patient(fred) <~> ~tall(fred) [input p20]
25. rich(fred) ... | 0 |
Everyone who is both patient and not creative is curious or old and vice versa.
Everyone who is wise is either not tall or strong and vice versa.
If lucy is brave then someone is creative or not strong.
Everyone who is not happy or not rich is either not old or tall.
If alice is not patient then someone is not old or h... | Susan is strong. | contradiction | (![X]:((patient(X)&~creative(X))<=>(curious(X)|old(X))))&
(![X]:(wise(X)<=>(~tall(X)<~>strong(X))))&
((brave(lucy))=>(?[X]:((creative(X)|~strong(X)))))&
(![X]:((~happy(X)|~rich(X))=>(~old(X)<~>tall(X))))&
((~patient(alice))<=>(?[X]:((~old(X)|happy(X)))))&
(![X]:((~quiet(X)<~>~generous(X))<=>(~generous(X)|patient(X))))&... | strong(susan) | [
"p0",
"p1",
"p3",
"p7",
"p11",
"p13",
"p14",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 247314003730750262821036
% SZS output start Proof for 247314003730750262821036
1. ! [X0] : ((~creative(X0) & patient(X0)) <=> (old(X0) | curious(X0))) [input p0]
2. ! [X0] : (wise(X0) <=> (~tall(X0) <~> strong(X0))) [input p1]
4. ! [X0] : ((~rich(X0) | ~happy(X0)) => (~old(X0) <~> tall(X0... | 0 |
Everyone who is both not tall and not old is either strong or patient.
Everyone who is either quiet or not tall is not creative and vice versa.
Everyone who is both not rich and rich is not generous or not curious.
If someone is both not funny and not quiet then someone is both not humble and not patient.
Everyone who ... | Alice is not tall. | contradiction | (![X]:((~tall(X)&~old(X))=>(strong(X)<~>patient(X))))&
(![X]:((quiet(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((~rich(X)&rich(X))=>(~generous(X)|~curious(X))))&
((?[X]:((~funny(X)&~quiet(X))))=>(?[X]:((~humble(X)&~patient(X)))))&
(![X]:((~quiet(X)&~funny(X))=>(~generous(X)&~curious(X))))&
(![X]:((~brave(X)&tall(X))<=>(ge... | ~tall(alice) | [
"p8",
"p10",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5254628923301542073205957
% SZS output start Proof for 5254628923301542073205957
9. (~calm(alice) & kind(alice)) <=> ? [X0] : (~generous(X0) | kind(X0)) [input p8]
11. ! [X0] : ((~funny(X0) | patient(X0)) => (~rich(X0) | ~generous(X0))) [input p10]
12. ! [X0] : ((funny(X0) | brave(X0)) =>... | 0 |
If susan is either not old or not happy then someone is happy and vice versa. Everyone who is either not curious or not happy is either curious or old and vice versa. Everyone who is either happy or strong is both not calm and rich. If mary is happy then lucy is rich or tall. Everyone who is tall is not old or quiet an... | Lucy is quiet. | contradiction | (((~old(susan)<~>~happy(susan)))<=>(?[X]:(happy(X))))&
(![X]:((~curious(X)<~>~happy(X))<=>(curious(X)<~>old(X))))&
(![X]:((happy(X)<~>strong(X))=>(~calm(X)&rich(X))))&
((happy(mary))=>((rich(lucy)|tall(lucy))))&
(![X]:(tall(X)<=>(~old(X)|quiet(X))))&
((?[X]:((~tall(X)&tall(X))))=>(?[X]:((happy(X)<~>funny(X)))))&
(((hap... | quiet(lucy) | [
"p1",
"p4",
"p7",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2368844502326532187773960
% SZS output start Proof for 2368844502326532187773960
2. ! [X0] : ((~curious(X0) <~> ~happy(X0)) <=> (curious(X0) <~> old(X0))) [input p1]
5. ! [X0] : (tall(X0) <=> (quiet(X0) | ~old(X0))) [input p4]
8. (~kind(alice) & creative(alice)) <=> ? [X0] : happy(X0) [in... | 0 |
Everyone who is creative or curious is either not old or calm.
Everyone who is generous is either happy or rich and vice versa.
If someone is not happy or not funny then mary is either not curious or rich.
Everyone who is patient or happy is not generous.
Everyone who is both not happy and not wise is not patient and v... | Fred is happy. | entailment | (![X]:((creative(X)|curious(X))=>(~old(X)<~>calm(X))))&
(![X]:(generous(X)<=>(happy(X)<~>rich(X))))&
((?[X]:((~happy(X)|~funny(X))))=>((~curious(mary)<~>rich(mary))))&
(![X]:((patient(X)|happy(X))=>~generous(X)))&
(![X]:((~happy(X)&~wise(X))<=>~patient(X)))&
((~brave(mary))<=>(?[X]:((kind(X)&~happy(X)))))&
((?[X]:((~ki... | happy(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1175301326776878425121849
% SZS output start Proof for 1175301326776878425121849
16. ! [X0] : (happy(X0) <=> (~kind(X0) | ~happy(X0))) [input p15]
23. ~happy(fred) [input hypothesis]
59. ! [X0] : ((happy(X0) | (kind(X0) & happy(X0))) & ((~kind(X0) | ~happy(X0)) | ~happy(X0))) [nnf transfo... | 0 |
If someone is both not quiet and tall then someone is both not patient and brave and vice versa. Everyone who is either patient or not old is both patient and calm. If someone is either strong or happy then mary is not calm or curious. Everyone who is not brave is either happy or brave. Everyone who is not happy or pat... | John is not happy. | entailment | ((?[X]:((~quiet(X)&tall(X))))<=>(?[X]:((~patient(X)&brave(X)))))&
(![X]:((patient(X)<~>~old(X))=>(patient(X)&calm(X))))&
((?[X]:((strong(X)<~>happy(X))))=>((~calm(mary)|curious(mary))))&
(![X]:(~brave(X)=>(happy(X)<~>brave(X))))&
(![X]:((~happy(X)|patient(X))=>(~strong(X)&~happy(X))))&
(![X]:((strong(X)<~>~calm(X))<=>h... | ~happy(john) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3196853770914561209907006
% SZS output start Proof for 3196853770914561209907006
5. ! [X0] : ((patient(X0) | ~happy(X0)) => (~happy(X0) & ~strong(X0))) [input p4]
7. ! [X0] : ((patient(X0) | ~patient(X0)) => (~strong(X0) & patient(X0))) [input p6]
24. happy(john) [input hypothesis]
33. ! ... | 0 |
If mary is either not curious or strong then someone is both calm and not kind and vice versa.
If someone is either tall or strong then someone is humble and vice versa.
Everyone who is not quiet or kind is happy or calm.
Everyone who is both not old and happy is both not curious and not creative and vice versa.
Everyo... | Lucy is not curious. | neutral | (((~curious(mary)<~>strong(mary)))<=>(?[X]:((calm(X)&~kind(X)))))&
((?[X]:((tall(X)<~>strong(X))))<=>(?[X]:(humble(X))))&
(![X]:((~quiet(X)|kind(X))=>(happy(X)|calm(X))))&
(![X]:((~old(X)&happy(X))<=>(~curious(X)&~creative(X))))&
(![X]:((kind(X)|tall(X))=>(wise(X)<~>happy(X))))&
(![X]:((~humble(X)|funny(X))=>(~strong(X... | ~curious(lucy) | [] | null | 0 |
Everyone who is either tall or not humble is either creative or not happy and vice versa. Everyone who is either happy or not kind is brave. If paul is old then someone is either humble or kind. If someone is both not brave and not creative then mary is either patient or happy. If fred is strong then paul is both not r... | Paul is not calm. | entailment | (![X]:((tall(X)<~>~humble(X))<=>(creative(X)<~>~happy(X))))&
(![X]:((happy(X)<~>~kind(X))=>brave(X)))&
((old(paul))=>(?[X]:((humble(X)<~>kind(X)))))&
((?[X]:((~brave(X)&~creative(X))))=>((patient(mary)<~>happy(mary))))&
((strong(fred))=>((~rich(paul)&~wise(paul))))&
(![X]:((tall(X)|old(X))<=>funny(X)))&
(![X]:((calm(X)... | ~calm(paul) | [
"p2",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1875485264528165420405424
% SZS output start Proof for 1875485264528165420405424
3. old(paul) => ? [X0] : (humble(X0) <~> kind(X0)) [input p2]
13. ! [X0] : (kind(X0) <=> (~kind(X0) & ~generous(X0))) [input p12]
15. ! [X0] : ((~humble(X0) & curious(X0)) <=> (~creative(X0) | ~calm(X0))) [in... | 0 |
If alice is tall then mary is rich or happy and vice versa.
Everyone who is not funny is both happy and quiet.
If someone is both happy and not happy then alice is not brave.
Everyone who is both curious and not brave is both not creative and not calm and vice versa.
If mary is not quiet or not tall then fred is both g... | Fred is not kind. | neutral | ((tall(alice))<=>((rich(mary)|happy(mary))))&
(![X]:(~funny(X)=>(happy(X)&quiet(X))))&
((?[X]:((happy(X)&~happy(X))))=>(~brave(alice)))&
(![X]:((curious(X)&~brave(X))<=>(~creative(X)&~calm(X))))&
(((~quiet(mary)|~tall(mary)))<=>((generous(fred)&humble(fred))))&
(![X]:((~humble(X)|calm(X))<=>(rich(X)|~curious(X))))&
(((... | ~kind(fred) | [] | null | 0 |
Everyone who is patient or not calm is both not quiet and old and vice versa.
Everyone who is both not kind and not curious is kind or not curious and vice versa.
If mary is brave or not curious then paul is both quiet and not quiet.
Everyone who is not wise is not quiet or wise and vice versa.
Everyone who is both not... | Alice is not wise. | entailment | (![X]:((patient(X)|~calm(X))<=>(~quiet(X)&old(X))))&
(![X]:((~kind(X)&~curious(X))<=>(kind(X)|~curious(X))))&
(((brave(mary)|~curious(mary)))=>((quiet(paul)&~quiet(paul))))&
(![X]:(~wise(X)<=>(~quiet(X)|wise(X))))&
(![X]:((~rich(X)&kind(X))<=>(strong(X)<~>humble(X))))&
((patient(mary))=>(rich(fred)))&
(![X]:((~brave(X)... | ~wise(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8000338050440087157488860
% SZS output start Proof for 8000338050440087157488860
4. ! [X0] : (~wise(X0) <=> (wise(X0) | ~quiet(X0))) [input p3]
24. wise(alice) [input hypothesis]
38. ! [X0] : ((~wise(X0) | (~wise(X0) & quiet(X0))) & ((wise(X0) | ~quiet(X0)) | wise(X0))) [nnf transformatio... | 0 |
Everyone who is old or not patient is both not old and patient.
Everyone who is not calm is not patient or not creative.
Everyone who is not wise or creative is not kind or strong.
Everyone who is not calm or not old is either happy or not kind and vice versa.
Everyone who is not curious is not humble or not rich and v... | Mary is old. | contradiction | (![X]:((old(X)|~patient(X))=>(~old(X)&patient(X))))&
(![X]:(~calm(X)=>(~patient(X)|~creative(X))))&
(![X]:((~wise(X)|creative(X))=>(~kind(X)|strong(X))))&
(![X]:((~calm(X)|~old(X))<=>(happy(X)<~>~kind(X))))&
(![X]:(~curious(X)<=>(~humble(X)|~rich(X))))&
(![X]:((creative(X)<~>~rich(X))=>(patient(X)&~old(X))))&
(((~calm(... | old(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 122905214282834150406064
% SZS output start Proof for 122905214282834150406064
1. ! [X0] : ((~patient(X0) | old(X0)) => (patient(X0) & ~old(X0))) [input p0]
22. old(mary) [input hypothesis]
26. ! [X0] : ((patient(X0) & ~old(X0)) | (patient(X0) & ~old(X0))) [ennf transformation 1]
81. ~old... | 0 |
If someone is brave then someone is either generous or quiet and vice versa.
If someone is either humble or not brave then lucy is rich or brave.
Everyone who is patient is not generous or kind and vice versa.
Everyone who is either quiet or not curious is both not strong and not quiet.
Everyone who is not happy is eit... | Susan is creative. | neutral | ((?[X]:(brave(X)))<=>(?[X]:((generous(X)<~>quiet(X)))))&
((?[X]:((humble(X)<~>~brave(X))))=>((rich(lucy)|brave(lucy))))&
(![X]:(patient(X)<=>(~generous(X)|kind(X))))&
(![X]:((quiet(X)<~>~curious(X))=>(~strong(X)&~quiet(X))))&
(![X]:(~happy(X)<=>(tall(X)<~>generous(X))))&
((?[X]:((curious(X)<~>~rich(X))))<=>((creative(s... | creative(susan) | [] | null | 0 |
Everyone who is not rich or not funny is either patient or wise and vice versa.
If someone is wise then someone is both patient and not rich and vice versa.
Everyone who is both not funny and not generous is creative.
If john is quiet or humble then someone is both rich and happy.
Everyone who is brave is both not wise... | John is kind. | contradiction | (![X]:((~rich(X)|~funny(X))<=>(patient(X)<~>wise(X))))&
((?[X]:(wise(X)))<=>(?[X]:((patient(X)&~rich(X)))))&
(![X]:((~funny(X)&~generous(X))=>creative(X)))&
(((quiet(john)|humble(john)))=>(?[X]:((rich(X)&happy(X)))))&
(![X]:(brave(X)=>(~wise(X)&~curious(X))))&
(![X]:((curious(X)|patient(X))<=>(~rich(X)|~calm(X))))&
(![... | kind(john) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7710994479215045360537069
% SZS output start Proof for 7710994479215045360537069
24. ~kind(john) & ~brave(john) [input p23]
25. kind(john) [input hypothesis]
28. ~kind(john) [pure predicate removal 24]
141. ~kind(john) [cnf transformation 28]
142. kind(john) [cnf transformation 25]
276. $... | 0 |
If someone is curious or generous then mary is not wise and vice versa.
If paul is old or calm then alice is both wise and funny.
Everyone who is happy or patient is not old or creative.
If someone is happy or strong then lucy is either strong or rich and vice versa.
Everyone who is both not tall and rich is both not b... | Mary is creative. | contradiction | ((?[X]:((curious(X)|generous(X))))<=>(~wise(mary)))&
(((old(paul)|calm(paul)))=>((wise(alice)&funny(alice))))&
(![X]:((happy(X)|patient(X))=>(~old(X)|creative(X))))&
((?[X]:((happy(X)|strong(X))))<=>((strong(lucy)<~>rich(lucy))))&
(![X]:((~tall(X)&rich(X))=>(~brave(X)&tall(X))))&
(![X]:(~patient(X)=>(brave(X)&humble(X)... | creative(mary) | [
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6397660910131151601140298
% SZS output start Proof for 6397660910131151601140298
22. ~wise(mary) [input p21]
24. ~creative(mary) <~> wise(mary) [input p23]
25. creative(mary) [input hypothesis]
86. (~wise(mary) | creative(mary)) & (wise(mary) | ~creative(mary)) [nnf transformation 24]
151... | 0 |
Everyone who is not patient or funny is not creative.
If alice is both not strong and not happy then someone is either not generous or generous.
Everyone who is strong or wise is either creative or calm.
Everyone who is either not humble or not funny is patient.
Everyone who is quiet or patient is both not calm and old... | Fred is brave. | entailment | (![X]:((~patient(X)|funny(X))=>~creative(X)))&
(((~strong(alice)&~happy(alice)))=>(?[X]:((~generous(X)<~>generous(X)))))&
(![X]:((strong(X)|wise(X))=>(creative(X)<~>calm(X))))&
(![X]:((~humble(X)<~>~funny(X))=>patient(X)))&
(![X]:((quiet(X)|patient(X))<=>(~calm(X)&old(X))))&
((?[X]:(~curious(X)))=>((~curious(paul)|rich... | brave(fred) | [
"p3",
"p4",
"p10",
"p12",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7262521610082239750477396
% SZS output start Proof for 7262521610082239750477396
4. ! [X0] : ((~humble(X0) <~> ~funny(X0)) => patient(X0)) [input p3]
5. ! [X0] : ((patient(X0) | quiet(X0)) <=> (old(X0) & ~calm(X0))) [input p4]
11. ! [X0] : ((humble(X0) | old(X0)) => calm(X0)) [input p10]
... | 0 |
If paul is either not humble or generous then someone is both patient and tall. If lucy is creative then someone is either not patient or creative and vice versa. Everyone who is not brave is not calm. If susan is not quiet then alice is not tall or quiet and vice versa. If susan is generous or patient then mary is bot... | Fred is not humble. | neutral | (((~humble(paul)<~>generous(paul)))=>(?[X]:((patient(X)&tall(X)))))&
((creative(lucy))<=>(?[X]:((~patient(X)<~>creative(X)))))&
(![X]:(~brave(X)=>~calm(X)))&
((~quiet(susan))<=>((~tall(alice)|quiet(alice))))&
(((generous(susan)|patient(susan)))=>((wise(mary)&old(mary))))&
((?[X]:(~curious(X)))=>((creative(alice)|calm(a... | ~humble(fred) | [] | null | 0 |
If someone is not curious then susan is curious or not humble and vice versa.
If alice is either old or not patient then someone is tall or curious.
Everyone who is both wise and not quiet is curious or strong and vice versa.
If lucy is either not wise or tall then someone is brave and vice versa.
Everyone who is both ... | Lucy is not funny. | entailment | ((?[X]:(~curious(X)))<=>((curious(susan)|~humble(susan))))&
(((old(alice)<~>~patient(alice)))=>(?[X]:((tall(X)|curious(X)))))&
(![X]:((wise(X)&~quiet(X))<=>(curious(X)|strong(X))))&
(((~wise(lucy)<~>tall(lucy)))<=>(?[X]:(brave(X))))&
(![X]:((funny(X)&curious(X))=>~wise(X)))&
(![X]:((tall(X)&funny(X))<=>(old(X)&~patient... | ~funny(lucy) | [
"p0",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6397253671445785310792727
% SZS output start Proof for 6397253671445785310792727
1. ? [X0] : ~curious(X0) <=> (~humble(susan) | curious(susan)) [input p0]
13. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (happy(X0) & ~curious(X0))) [input p12]
16. ? [X0] : (kind(X0) | ~humble(X0)) <=> (~cal... | 0 |
If someone is both humble and funny then susan is not wise and vice versa.
Everyone who is either kind or not generous is not quiet or generous and vice versa.
If someone is both not humble and happy then someone is generous or wise and vice versa.
If someone is both not patient and quiet then someone is strong and vic... | Alice is funny. | neutral | ((?[X]:((humble(X)&funny(X))))<=>(~wise(susan)))&
(![X]:((kind(X)<~>~generous(X))<=>(~quiet(X)|generous(X))))&
((?[X]:((~humble(X)&happy(X))))<=>(?[X]:((generous(X)|wise(X)))))&
((?[X]:((~patient(X)&quiet(X))))<=>(?[X]:(strong(X))))&
(![X]:(quiet(X)=>(strong(X)|calm(X))))&
((?[X]:(old(X)))<=>((quiet(mary)&~funny(mary))... | funny(alice) | [] | null | 0 |
Everyone who is either not wise or not curious is both curious and not creative and vice versa.
Everyone who is curious or generous is not rich or calm.
Everyone who is not kind is both generous and not humble and vice versa.
Everyone who is both not calm and not patient is both generous and tall.
Everyone who is curio... | Lucy is calm. | entailment | (![X]:((~wise(X)<~>~curious(X))<=>(curious(X)&~creative(X))))&
(![X]:((curious(X)|generous(X))=>(~rich(X)|calm(X))))&
(![X]:(~kind(X)<=>(generous(X)&~humble(X))))&
(![X]:((~calm(X)&~patient(X))=>(generous(X)&tall(X))))&
(![X]:(curious(X)=>rich(X)))&
(((kind(paul)&~wise(paul)))<=>((~strong(mary)&generous(mary))))&
(![X]... | calm(lucy) | [
"p1",
"p2",
"p4",
"p7",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3131782304115179088707962
% SZS output start Proof for 3131782304115179088707962
2. ! [X0] : ((generous(X0) | curious(X0)) => (calm(X0) | ~rich(X0))) [input p1]
3. ! [X0] : (~kind(X0) <=> (~humble(X0) & generous(X0))) [input p2]
5. ! [X0] : (curious(X0) => rich(X0)) [input p4]
8. ! [X0] :... | 0 |
Everyone who is both not curious and patient is either not happy or not funny. Everyone who is both happy and kind is curious. If fred is not happy or calm then mary is old or quiet and vice versa. Everyone who is not patient or not quiet is both not generous and not rich and vice versa. If someone is not humble or not... | Mary is generous. | entailment | (![X]:((~curious(X)&patient(X))=>(~happy(X)<~>~funny(X))))&
(![X]:((happy(X)&kind(X))=>curious(X)))&
(((~happy(fred)|calm(fred)))<=>((old(mary)|quiet(mary))))&
(![X]:((~patient(X)|~quiet(X))<=>(~generous(X)&~rich(X))))&
((?[X]:((~humble(X)|~calm(X))))=>(?[X]:((kind(X)<~>~tall(X)))))&
(![X]:((~funny(X)|~happy(X))=>(~ric... | generous(mary) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 915933806154490458997637
% SZS output start Proof for 915933806154490458997637
10. ! [X0] : (~generous(X0) <=> strong(X0)) [input p9]
12. ! [X0] : (strong(X0) <=> (brave(X0) & generous(X0))) [input p11]
24. ~generous(mary) [input hypothesis]
58. ! [X0] : ((~generous(X0) | ~strong(X0)) & (... | 0 |
Everyone who is not creative is not patient or not happy.
Everyone who is both not old and old is not quiet and vice versa.
Everyone who is brave is both creative and patient and vice versa.
If john is creative or calm then someone is not kind and vice versa.
If lucy is not quiet then someone is not quiet and vice vers... | Susan is quiet. | entailment | (![X]:(~creative(X)=>(~patient(X)|~happy(X))))&
(![X]:((~old(X)&old(X))<=>~quiet(X)))&
(![X]:(brave(X)<=>(creative(X)&patient(X))))&
(((creative(john)|calm(john)))<=>(?[X]:(~kind(X))))&
((~quiet(lucy))<=>(?[X]:(~quiet(X))))&
((kind(john))=>((~rich(mary)&~brave(mary))))&
(![X]:((~kind(X)<~>funny(X))<=>~calm(X)))&
(![X]:... | quiet(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3357400937890735242194071
% SZS output start Proof for 3357400937890735242194071
2. ! [X0] : ((old(X0) & ~old(X0)) <=> ~quiet(X0)) [input p1]
25. ~quiet(susan) [input hypothesis]
39. ! [X0] : (((old(X0) & ~old(X0)) | quiet(X0)) & (~quiet(X0) | (~old(X0) | old(X0)))) [nnf transformation 2]... | 0 |
Everyone who is patient or calm is either creative or not kind and vice versa.
If someone is either not quiet or wise then someone is either rich or quiet.
If paul is either not curious or not old then susan is curious or happy.
Everyone who is funny or rich is both not curious and quiet and vice versa.
If fred is both... | Alice is curious. | contradiction | (![X]:((patient(X)|calm(X))<=>(creative(X)<~>~kind(X))))&
((?[X]:((~quiet(X)<~>wise(X))))=>(?[X]:((rich(X)<~>quiet(X)))))&
(((~curious(paul)<~>~old(paul)))=>((curious(susan)|happy(susan))))&
(![X]:((funny(X)|rich(X))<=>(~curious(X)&quiet(X))))&
(((~curious(fred)&~quiet(fred)))=>(?[X]:((happy(X)&~generous(X)))))&
(((~fu... | curious(alice) | [
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2727516770085759841724930
% SZS output start Proof for 2727516770085759841724930
4. ! [X0] : ((rich(X0) | funny(X0)) <=> (quiet(X0) & ~curious(X0))) [input p3]
18. rich(alice) [input p17]
25. curious(alice) [input hypothesis]
50. ! [X0] : (((rich(X0) | funny(X0)) | (~quiet(X0) | curious(X... | 0 |
Everyone who is either not brave or not calm is not patient and vice versa. Everyone who is kind is both wise and not funny and vice versa. Everyone who is not quiet or not wise is not strong. Everyone who is both not calm and not kind is kind and vice versa. Everyone who is either strong or not humble is patient or wi... | Susan is not rich. | contradiction | (![X]:((~brave(X)<~>~calm(X))<=>~patient(X)))&
(![X]:(kind(X)<=>(wise(X)&~funny(X))))&
(![X]:((~quiet(X)|~wise(X))=>~strong(X)))&
(![X]:((~calm(X)&~kind(X))<=>kind(X)))&
(![X]:((strong(X)<~>~humble(X))=>(patient(X)|wise(X))))&
((~patient(lucy))<=>(?[X]:(~kind(X))))&
(![X]:((patient(X)|generous(X))<=>(~generous(X)&~curi... | ~rich(susan) | [
"p2",
"p3",
"p6",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6081521422146927379843461
% SZS output start Proof for 6081521422146927379843461
3. ! [X0] : ((~wise(X0) | ~quiet(X0)) => ~strong(X0)) [input p2]
4. ! [X0] : ((~kind(X0) & ~calm(X0)) <=> kind(X0)) [input p3]
7. ! [X0] : ((generous(X0) | patient(X0)) <=> (~curious(X0) & ~generous(X0))) [in... | 0 |
Everyone who is not rich is creative or not brave.
Everyone who is not wise or not patient is either quiet or not curious and vice versa.
If alice is either patient or wise then paul is not patient and vice versa.
If someone is either quiet or not quiet then paul is both kind and tall.
Everyone who is not strong is not... | Alice is funny. | contradiction | (![X]:(~rich(X)=>(creative(X)|~brave(X))))&
(![X]:((~wise(X)|~patient(X))<=>(quiet(X)<~>~curious(X))))&
(((patient(alice)<~>wise(alice)))<=>(~patient(paul)))&
((?[X]:((quiet(X)<~>~quiet(X))))=>((kind(paul)&tall(paul))))&
(![X]:(~strong(X)=>~wise(X)))&
(![X]:((funny(X)&tall(X))<=>(~old(X)<~>~quiet(X))))&
((?[X]:(creativ... | funny(alice) | [
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1572263344774400252771800
% SZS output start Proof for 1572263344774400252771800
10. ! [X0] : ((curious(X0) | ~strong(X0)) <=> (strong(X0) & ~strong(X0))) [input p9]
11. ! [X0] : ((brave(X0) & ~funny(X0)) <=> (~generous(X0) <~> ~curious(X0))) [input p10]
16. ! [X0] : ((~curious(X0) | crea... | 0 |
Everyone who is both not calm and not tall is old and vice versa. If mary is either rich or not wise then susan is either not generous or not wise and vice versa. If someone is not brave or not generous then someone is not wise or not rich and vice versa. Everyone who is both creative and not tall is not quiet or not g... | Fred is not curious. | contradiction | (![X]:((~calm(X)&~tall(X))<=>old(X)))&
(((rich(mary)<~>~wise(mary)))<=>((~generous(susan)<~>~wise(susan))))&
((?[X]:((~brave(X)|~generous(X))))<=>(?[X]:((~wise(X)|~rich(X)))))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?[X]:((~creative(X)|~wise(X))))=>... | ~curious(fred) | [
"p7",
"p8",
"p9",
"p11",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6462259659405498640419044
% SZS output start Proof for 6462259659405498640419044
8. ! [X0] : ((~happy(X0) | tall(X0)) <=> (curious(X0) <~> wise(X0))) [input p7]
9. ! [X0] : ((wise(X0) & ~creative(X0)) <=> strong(X0)) [input p8]
10. ! [X0] : ((~happy(X0) | ~funny(X0)) <=> (~strong(X0) & ~r... | 0 |
If someone is not wise then someone is happy or not brave.
If mary is not brave or not wise then someone is quiet.
If fred is not creative then someone is either not curious or humble.
If alice is not patient or happy then someone is not rich and vice versa.
Everyone who is wise or not curious is either wise or brave a... | Fred is rich. | contradiction | ((?[X]:(~wise(X)))=>(?[X]:((happy(X)|~brave(X)))))&
(((~brave(mary)|~wise(mary)))=>(?[X]:(quiet(X))))&
((~creative(fred))=>(?[X]:((~curious(X)<~>humble(X)))))&
(((~patient(alice)|happy(alice)))<=>(?[X]:(~rich(X))))&
(![X]:((wise(X)|~curious(X))<=>(wise(X)<~>brave(X))))&
((?[X]:(~rich(X)))=>(?[X]:((~strong(X)<~>quiet(X)... | rich(fred) | [
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8615807388701920296569672
% SZS output start Proof for 8615807388701920296569672
5. ! [X0] : ((~curious(X0) | wise(X0)) <=> (wise(X0) <~> brave(X0))) [input p4]
8. ! [X0] : ((humble(X0) | rich(X0)) <=> (tall(X0) & curious(X0))) [input p7]
10. ! [X0] : ((old(X0) | ~brave(X0)) <=> (~strong(... | 0 |
Everyone who is not calm is both rich and not happy and vice versa.
If paul is either not humble or humble then paul is either not old or not happy and vice versa.
If lucy is both not curious and not tall then fred is not generous.
Everyone who is not strong or not tall is happy.
If john is both not creative and creati... | Alice is not creative. | neutral | (![X]:(~calm(X)<=>(rich(X)&~happy(X))))&
(((~humble(paul)<~>humble(paul)))<=>((~old(paul)<~>~happy(paul))))&
(((~curious(lucy)&~tall(lucy)))=>(~generous(fred)))&
(![X]:((~strong(X)|~tall(X))=>happy(X)))&
(((~creative(john)&creative(john)))<=>(?[X]:((~patient(X)<~>~brave(X)))))&
(((~patient(fred)|~humble(fred)))=>((~tal... | ~creative(alice) | [] | null | 0 |
If susan is not old or not kind then paul is both not strong and not creative and vice versa. If mary is not curious then susan is not strong. Everyone who is either creative or kind is either tall or happy. Everyone who is either kind or calm is rich and vice versa. Everyone who is kind is patient or not creative and ... | Mary is creative. | entailment | (((~old(susan)|~kind(susan)))<=>((~strong(paul)&~creative(paul))))&
((~curious(mary))=>(~strong(susan)))&
(![X]:((creative(X)<~>kind(X))=>(tall(X)<~>happy(X))))&
(![X]:((kind(X)<~>calm(X))<=>rich(X)))&
(![X]:(kind(X)<=>(patient(X)|~creative(X))))&
(![X]:(brave(X)=>(~old(X)<~>~tall(X))))&
((kind(alice))=>((funny(fred)&~... | creative(mary) | [
"p4",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4077974878350808647960709
% SZS output start Proof for 4077974878350808647960709
5. ! [X0] : (kind(X0) <=> (~creative(X0) | patient(X0))) [input p4]
13. ! [X0] : ((~quiet(X0) & ~calm(X0)) <=> (~happy(X0) | quiet(X0))) [input p12]
14. ! [X0] : ((humble(X0) | ~quiet(X0)) => ~happy(X0)) [inp... | 0 |
Everyone who is both not old and humble is patient and vice versa.
If john is not humble then mary is wise or not wise.
Everyone who is old or not old is wise and vice versa.
Everyone who is both funny and not rich is both not brave and calm.
Everyone who is wise or not happy is both not calm and creative.
Everyone who... | Paul is rich. | entailment | (![X]:((~old(X)&humble(X))<=>patient(X)))&
((~humble(john))=>((wise(mary)|~wise(mary))))&
(![X]:((old(X)|~old(X))<=>wise(X)))&
(![X]:((funny(X)&~rich(X))=>(~brave(X)&calm(X))))&
(![X]:((wise(X)|~happy(X))=>(~calm(X)&creative(X))))&
(![X]:((~rich(X)|~happy(X))=>(brave(X)&kind(X))))&
((?[X]:((~wise(X)<~>brave(X))))<=>(?[... | rich(paul) | [
"p0",
"p2",
"p4",
"p5",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7302900169901350025593278
% SZS output start Proof for 7302900169901350025593278
1. ! [X0] : ((humble(X0) & ~old(X0)) <=> patient(X0)) [input p0]
3. ! [X0] : ((~old(X0) | old(X0)) <=> wise(X0)) [input p2]
5. ! [X0] : ((~happy(X0) | wise(X0)) => (creative(X0) & ~calm(X0))) [input p4]
6. ! ... | 0 |
Everyone who is not calm or kind is either tall or not humble. Everyone who is not quiet or tall is both happy and not kind. Everyone who is either tall or rich is generous and vice versa. Everyone who is both not happy and quiet is both not old and not brave and vice versa. Everyone who is not strong is not old and vi... | John is not old. | entailment | (![X]:((~calm(X)|kind(X))=>(tall(X)<~>~humble(X))))&
(![X]:((~quiet(X)|tall(X))=>(happy(X)&~kind(X))))&
(![X]:((tall(X)<~>rich(X))<=>generous(X)))&
(![X]:((~happy(X)&quiet(X))<=>(~old(X)&~brave(X))))&
(![X]:(~strong(X)<=>~old(X)))&
(![X]:(patient(X)<=>(curious(X)&~patient(X))))&
(![X]:((old(X)&calm(X))=>(brave(X)<~>~qu... | ~old(john) | [
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 616405049251994611683410
% SZS output start Proof for 616405049251994611683410
5. ! [X0] : (~strong(X0) <=> ~old(X0)) [input p4]
6. ! [X0] : (patient(X0) <=> (~patient(X0) & curious(X0))) [input p5]
8. ! [X0] : ((patient(X0) & funny(X0)) <=> strong(X0)) [input p7]
25. old(john) [input hyp... | 0 |
If susan is either not calm or not wise then john is both calm and not rich.
If someone is both not patient and not creative then someone is either not rich or strong.
If someone is not calm or not wise then someone is both not brave and strong.
Everyone who is quiet is both humble and not tall and vice versa.
Everyone... | Fred is not strong. | neutral | (((~calm(susan)<~>~wise(susan)))=>((calm(john)&~rich(john))))&
((?[X]:((~patient(X)&~creative(X))))=>(?[X]:((~rich(X)<~>strong(X)))))&
((?[X]:((~calm(X)|~wise(X))))=>(?[X]:((~brave(X)&strong(X)))))&
(![X]:(quiet(X)<=>(humble(X)&~tall(X))))&
(![X]:(tall(X)<=>humble(X)))&
(![X]:(quiet(X)=>(~kind(X)&rich(X))))&
(![X]:((cu... | ~strong(fred) | [] | null | 0 |
If paul is old then fred is not kind.
If fred is either patient or tall then someone is not curious.
Everyone who is curious is either calm or curious.
Everyone who is not wise is both not wise and not brave.
If alice is calm or strong then fred is not quiet or creative and vice versa.
Everyone who is not generous or c... | Fred is quiet. | contradiction | ((old(paul))=>(~kind(fred)))&
(((patient(fred)<~>tall(fred)))=>(?[X]:(~curious(X))))&
(![X]:(curious(X)=>(calm(X)<~>curious(X))))&
(![X]:(~wise(X)=>(~wise(X)&~brave(X))))&
(((calm(alice)|strong(alice)))<=>((~quiet(fred)|creative(fred))))&
(![X]:((~generous(X)|creative(X))=>generous(X)))&
((?[X]:((~creative(X)|~quiet(X)... | quiet(fred) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4370934809816412603736164
% SZS output start Proof for 4370934809816412603736164
6. ! [X0] : ((creative(X0) | ~generous(X0)) => generous(X0)) [input p5]
12. ! [X0] : ((~generous(X0) & tall(X0)) <=> (~calm(X0) | quiet(X0))) [input p11]
23. quiet(fred) [input hypothesis]
31. ! [X0] : (gener... | 0 |
If fred is not wise or not old then susan is either funny or patient and vice versa.
If someone is not humble then someone is not calm or not kind and vice versa.
Everyone who is brave or not rich is either not rich or not quiet and vice versa.
Everyone who is strong is not creative or humble.
If someone is both not ri... | Susan is humble. | neutral | (((~wise(fred)|~old(fred)))<=>((funny(susan)<~>patient(susan))))&
((?[X]:(~humble(X)))<=>(?[X]:((~calm(X)|~kind(X)))))&
(![X]:((brave(X)|~rich(X))<=>(~rich(X)<~>~quiet(X))))&
(![X]:(strong(X)=>(~creative(X)|humble(X))))&
((?[X]:((~rich(X)&~old(X))))=>(?[X]:((happy(X)<~>~old(X)))))&
(![X]:(~old(X)<=>wise(X)))&
(![X]:((~... | humble(susan) | [] | null | 0 |
If someone is either humble or brave then someone is not patient and vice versa. If someone is not generous then someone is either not happy or not humble and vice versa. If lucy is rich then john is both calm and not wise. If someone is not humble or not happy then alice is creative. Everyone who is either tall or not... | Paul is quiet. | entailment | ((?[X]:((humble(X)<~>brave(X))))<=>(?[X]:(~patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~happy(X)<~>~humble(X)))))&
((rich(lucy))=>((calm(john)&~wise(john))))&
((?[X]:((~humble(X)|~happy(X))))=>(creative(alice)))&
(![X]:((tall(X)<~>~humble(X))=>(~happy(X)|~tall(X))))&
(![X]:((~curious(X)&~happy(X))<=>(happy(X)|brave... | quiet(paul) | [
"p1",
"p5",
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1935552235221306845449129
% SZS output start Proof for 1935552235221306845449129
2. ? [X0] : ~generous(X0) <=> ? [X0] : (~happy(X0) <~> ~humble(X0)) [input p1]
6. ! [X0] : ((~happy(X0) & ~curious(X0)) <=> (brave(X0) | happy(X0))) [input p5]
7. ? [X0] : ~generous(X0) => (quiet(paul) & stro... | 0 |
Everyone who is not calm or not curious is funny or not quiet and vice versa.
If alice is not humble then fred is humble and vice versa.
Everyone who is patient is either not old or calm and vice versa.
If paul is both not brave and quiet then fred is kind or creative and vice versa.
If someone is not rich then someone... | John is happy. | neutral | (![X]:((~calm(X)|~curious(X))<=>(funny(X)|~quiet(X))))&
((~humble(alice))<=>(humble(fred)))&
(![X]:(patient(X)<=>(~old(X)<~>calm(X))))&
(((~brave(paul)&quiet(paul)))<=>((kind(fred)|creative(fred))))&
((?[X]:(~rich(X)))=>(?[X]:((generous(X)|~brave(X)))))&
(![X]:((patient(X)<~>calm(X))<=>(~patient(X)&~happy(X))))&
(((bra... | happy(john) | [] | null | 0 |
If susan is humble then someone is not quiet or not humble and vice versa. If someone is either generous or funny then john is funny and vice versa. Everyone who is either not kind or not happy is patient and vice versa. If someone is strong or not happy then someone is generous or patient and vice versa. If mary is ol... | Alice is strong. | neutral | ((humble(susan))<=>(?[X]:((~quiet(X)|~humble(X)))))&
((?[X]:((generous(X)<~>funny(X))))<=>(funny(john)))&
(![X]:((~kind(X)<~>~happy(X))<=>patient(X)))&
((?[X]:((strong(X)|~happy(X))))<=>(?[X]:((generous(X)|patient(X)))))&
((old(mary))<=>(?[X]:((~brave(X)&~humble(X)))))&
((?[X]:(quiet(X)))=>(?[X]:((tall(X)<~>brave(X))))... | strong(alice) | [] | null | 0 |
If someone is both not happy and kind then someone is both tall and old and vice versa.
If alice is old or curious then alice is wise.
If mary is either rich or generous then someone is either not kind or happy.
Everyone who is either strong or patient is patient or not quiet.
Everyone who is either calm or old is not ... | Paul is not rich. | entailment | ((?[X]:((~happy(X)&kind(X))))<=>(?[X]:((tall(X)&old(X)))))&
(((old(alice)|curious(alice)))=>(wise(alice)))&
(((rich(mary)<~>generous(mary)))=>(?[X]:((~kind(X)<~>happy(X)))))&
(![X]:((strong(X)<~>patient(X))=>(patient(X)|~quiet(X))))&
(![X]:((calm(X)<~>old(X))<=>~quiet(X)))&
(![X]:((~tall(X)&wise(X))<=>kind(X)))&
(![X]:... | ~rich(paul) | [
"p5",
"p6",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3732784407915963122880344
% SZS output start Proof for 3732784407915963122880344
6. ! [X0] : ((wise(X0) & ~tall(X0)) <=> kind(X0)) [input p5]
7. ! [X0] : ((quiet(X0) | ~creative(X0)) <=> (curious(X0) <~> kind(X0))) [input p6]
10. ! [X0] : ((~funny(X0) | generous(X0)) <=> strong(X0)) [inpu... | 0 |
If someone is not funny or rich then someone is either not generous or brave and vice versa. If someone is both old and not creative then someone is both quiet and happy and vice versa. Everyone who is old or quiet is either kind or creative and vice versa. Everyone who is patient or not quiet is both creative and not ... | Susan is tall. | contradiction | ((?[X]:((~funny(X)|rich(X))))<=>(?[X]:((~generous(X)<~>brave(X)))))&
((?[X]:((old(X)&~creative(X))))<=>(?[X]:((quiet(X)&happy(X)))))&
(![X]:((old(X)|quiet(X))<=>(kind(X)<~>creative(X))))&
(![X]:((patient(X)|~quiet(X))<=>(creative(X)&~quiet(X))))&
((?[X]:((humble(X)<~>~calm(X))))=>(~humble(mary)))&
(![X]:((~happy(X)|~cu... | tall(susan) | [
"p2",
"p3",
"p5",
"p6",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7307353253283452214211758
% SZS output start Proof for 7307353253283452214211758
3. ! [X0] : ((quiet(X0) | old(X0)) <=> (kind(X0) <~> creative(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) | patient(X0)) <=> (~quiet(X0) & creative(X0))) [input p3]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> ... | 0 |
Everyone who is calm is both not generous and not curious. Everyone who is either not old or creative is both not curious and not wise. Everyone who is quiet or rich is both not strong and not creative and vice versa. Everyone who is either not tall or old is either kind or patient. If susan is both calm and tall then ... | Fred is humble. | contradiction | (![X]:(calm(X)=>(~generous(X)&~curious(X))))&
(![X]:((~old(X)<~>creative(X))=>(~curious(X)&~wise(X))))&
(![X]:((quiet(X)|rich(X))<=>(~strong(X)&~creative(X))))&
(![X]:((~tall(X)<~>old(X))=>(kind(X)<~>patient(X))))&
(((calm(susan)&tall(susan)))=>((~patient(paul)&~generous(paul))))&
(![X]:((happy(X)&~old(X))=>(creative(X... | humble(fred) | [
"p2",
"p8",
"p9",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7652433862190716327566751
% SZS output start Proof for 7652433862190716327566751
3. ! [X0] : ((rich(X0) | quiet(X0)) <=> (~creative(X0) & ~strong(X0))) [input p2]
9. ? [X0] : (~quiet(X0) <~> creative(X0)) <=> ? [X0] : ~patient(X0) [input p8]
10. ! [X0] : (~brave(X0) <=> (brave(X0) & funny... | 0 |
Everyone who is not old is both creative and wise and vice versa. Everyone who is not patient is not calm and vice versa. If someone is either creative or brave then someone is kind or old and vice versa. Everyone who is not old is not creative and vice versa. If someone is both not quiet and not humble then someone is... | Alice is patient. | entailment | (![X]:(~old(X)<=>(creative(X)&wise(X))))&
(![X]:(~patient(X)<=>~calm(X)))&
((?[X]:((creative(X)<~>brave(X))))<=>(?[X]:((kind(X)|old(X)))))&
(![X]:(~old(X)<=>~creative(X)))&
((?[X]:((~quiet(X)&~humble(X))))<=>(?[X]:(humble(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~tall(X)&wise(X)))))&
(![X]:((funny(X)|rich(X))<=>(~tall(X)|~c... | patient(alice) | [
"p0",
"p1",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 809181158071667675665952
% SZS output start Proof for 809181158071667675665952
1. ! [X0] : (~old(X0) <=> (wise(X0) & creative(X0))) [input p0]
2. ! [X0] : (~patient(X0) <=> ~calm(X0)) [input p1]
4. ! [X0] : (~old(X0) <=> ~creative(X0)) [input p3]
6. ? [X0] : ~calm(X0) <=> ? [X0] : (wise(X... | 0 |
Everyone who is curious or not rich is either brave or not happy and vice versa.
If someone is happy or old then someone is either funny or kind.
Everyone who is either tall or funny is not humble or not strong and vice versa.
Everyone who is either not patient or not tall is either not creative or quiet.
Everyone who ... | Mary is not happy. | contradiction | (![X]:((curious(X)|~rich(X))<=>(brave(X)<~>~happy(X))))&
((?[X]:((happy(X)|old(X))))=>(?[X]:((funny(X)<~>kind(X)))))&
(![X]:((tall(X)<~>funny(X))<=>(~humble(X)|~strong(X))))&
(![X]:((~patient(X)<~>~tall(X))=>(~creative(X)<~>quiet(X))))&
(![X]:((~old(X)<~>wise(X))<=>(calm(X)<~>funny(X))))&
(![X]:((humble(X)|curious(X))<... | ~happy(mary) | [
"p0",
"p5",
"p8",
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1290550139918580235345182
% SZS output start Proof for 1290550139918580235345182
1. ! [X0] : ((~rich(X0) | curious(X0)) <=> (brave(X0) <~> ~happy(X0))) [input p0]
6. ! [X0] : ((curious(X0) | humble(X0)) <=> old(X0)) [input p5]
9. ! [X0] : ((kind(X0) <~> curious(X0)) => (~wise(X0) & ~old(X... | 0 |
Everyone who is both not happy and not curious is either not humble or calm and vice versa. If alice is not humble or generous then fred is either not humble or not strong. Everyone who is old is not quiet and vice versa. Everyone who is old is not curious or not calm and vice versa. Everyone who is not wise is either ... | Fred is not generous. | entailment | (![X]:((~happy(X)&~curious(X))<=>(~humble(X)<~>calm(X))))&
(((~humble(alice)|generous(alice)))=>((~humble(fred)<~>~strong(fred))))&
(![X]:(old(X)<=>~quiet(X)))&
(![X]:(old(X)<=>(~curious(X)|~calm(X))))&
(![X]:(~wise(X)<=>(happy(X)<~>~curious(X))))&
(![X]:((calm(X)|~humble(X))=>(happy(X)|~curious(X))))&
(![X]:((creative... | ~generous(fred) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5392600987374801481397344
% SZS output start Proof for 5392600987374801481397344
1. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> (~humble(X0) <~> calm(X0))) [input p0]
3. ! [X0] : (old(X0) <=> ~quiet(X0)) [input p2]
4. ! [X0] : (old(X0) <=> (~calm(X0) | ~curious(X0))) [input p3]
5. ! [X0] : ... | 0 |
If fred is either patient or not old then paul is both not generous and old and vice versa.
Everyone who is both patient and not rich is not brave.
Everyone who is both not tall and not strong is not old and vice versa.
If someone is both calm and tall then fred is both not strong and not curious and vice versa.
Everyo... | Susan is funny. | neutral | (((patient(fred)<~>~old(fred)))<=>((~generous(paul)&old(paul))))&
(![X]:((patient(X)&~rich(X))=>~brave(X)))&
(![X]:((~tall(X)&~strong(X))<=>~old(X)))&
((?[X]:((calm(X)&tall(X))))<=>((~strong(fred)&~curious(fred))))&
(![X]:((strong(X)<~>~happy(X))=>(~funny(X)<~>~wise(X))))&
((?[X]:((~happy(X)&calm(X))))=>(?[X]:((calm(X)... | funny(susan) | [] | null | 0 |
Everyone who is quiet is not brave or happy. If someone is both not happy and generous then someone is not wise. If someone is both patient and old then mary is not generous. If someone is either kind or not tall then someone is either kind or not patient and vice versa. If someone is not strong then susan is not curio... | Mary is not kind. | neutral | (![X]:(quiet(X)=>(~brave(X)|happy(X))))&
((?[X]:((~happy(X)&generous(X))))=>(?[X]:(~wise(X))))&
((?[X]:((patient(X)&old(X))))=>(~generous(mary)))&
((?[X]:((kind(X)<~>~tall(X))))<=>(?[X]:((kind(X)<~>~patient(X)))))&
((?[X]:(~strong(X)))<=>(~curious(susan)))&
(![X]:((humble(X)<~>~curious(X))<=>rich(X)))&
(((~calm(alice)&... | ~kind(mary) | [] | null | 0 |
Everyone who is both not curious and not rich is both humble and patient. If paul is not creative or not calm then mary is quiet or curious and vice versa. If mary is not funny or not kind then paul is either wise or strong. Everyone who is both funny and not kind is not calm or not old. If someone is wise or curious t... | John is not wise. | neutral | (![X]:((~curious(X)&~rich(X))=>(humble(X)&patient(X))))&
(((~creative(paul)|~calm(paul)))<=>((quiet(mary)|curious(mary))))&
(((~funny(mary)|~kind(mary)))=>((wise(paul)<~>strong(paul))))&
(![X]:((funny(X)&~kind(X))=>(~calm(X)|~old(X))))&
((?[X]:((wise(X)|curious(X))))<=>(?[X]:((brave(X)&~old(X)))))&
(![X]:((strong(X)|~f... | ~wise(john) | [] | null | 0 |
If susan is both patient and humble then someone is not strong and vice versa.
Everyone who is either patient or not curious is both not generous and not kind.
If susan is not tall or not creative then fred is either not humble or humble and vice versa.
Everyone who is both not curious and tall is not strong or kind an... | Mary is not kind. | contradiction | (((patient(susan)&humble(susan)))<=>(?[X]:(~strong(X))))&
(![X]:((patient(X)<~>~curious(X))=>(~generous(X)&~kind(X))))&
(((~tall(susan)|~creative(susan)))<=>((~humble(fred)<~>humble(fred))))&
(![X]:((~curious(X)&tall(X))<=>(~strong(X)|kind(X))))&
(![X]:((~funny(X)|generous(X))=>(kind(X)&~curious(X))))&
((?[X]:((~patien... | ~kind(mary) | [
"p3",
"p4",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 712205852710305639155717
% SZS output start Proof for 712205852710305639155717
4. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (kind(X0) | ~strong(X0))) [input p3]
5. ! [X0] : ((generous(X0) | ~funny(X0)) => (~curious(X0) & kind(X0))) [input p4]
15. ! [X0] : ((brave(X0) <~> ~curious(X0)) <=> (... | 0 |
If someone is either creative or not brave then someone is either not tall or humble.
If lucy is either not patient or calm then someone is funny and vice versa.
Everyone who is creative or quiet is either old or tall and vice versa.
Everyone who is both not tall and not calm is generous and vice versa.
Everyone who is... | John is not quiet. | contradiction | ((?[X]:((creative(X)<~>~brave(X))))=>(?[X]:((~tall(X)<~>humble(X)))))&
(((~patient(lucy)<~>calm(lucy)))<=>(?[X]:(funny(X))))&
(![X]:((creative(X)|quiet(X))<=>(old(X)<~>tall(X))))&
(![X]:((~tall(X)&~calm(X))<=>generous(X)))&
(![X]:(~calm(X)<=>(tall(X)|wise(X))))&
(![X]:((~kind(X)&quiet(X))<=>(~generous(X)|kind(X))))&
(!... | ~quiet(john) | [
"p3",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1153622869780202190601971
% SZS output start Proof for 1153622869780202190601971
4. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> generous(X0)) [input p3]
6. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> (kind(X0) | ~generous(X0))) [input p5]
7. ! [X0] : ((humble(X0) | ~funny(X0)) => (~tall(X0) <~> ~quie... | 0 |
If someone is not funny then someone is curious or not tall.
If someone is curious or not calm then mary is not tall and vice versa.
Everyone who is both creative and not rich is patient or brave.
Everyone who is both not creative and strong is either not calm or not happy.
If mary is both happy and strong then someone... | Alice is not wise. | entailment | ((?[X]:(~funny(X)))=>(?[X]:((curious(X)|~tall(X)))))&
((?[X]:((curious(X)|~calm(X))))<=>(~tall(mary)))&
(![X]:((creative(X)&~rich(X))=>(patient(X)|brave(X))))&
(![X]:((~creative(X)&strong(X))=>(~calm(X)<~>~happy(X))))&
(((happy(mary)&strong(mary)))=>(?[X]:((~tall(X)<~>~creative(X)))))&
(![X]:((~wise(X)<~>~brave(X))<=>(... | ~wise(alice) | [
"p3",
"p5",
"p7",
"p10",
"p12",
"p13",
"p14",
"p15",
"p17",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4551699644868743873306556
% SZS output start Proof for 4551699644868743873306556
4. ! [X0] : ((strong(X0) & ~creative(X0)) => (~calm(X0) <~> ~happy(X0))) [input p3]
6. ! [X0] : ((~wise(X0) <~> ~brave(X0)) <=> (generous(X0) & old(X0))) [input p5]
8. ! [X0] : ((brave(X0) | curious(X0)) <=> ... | 0 |
Everyone who is not brave or not creative is both calm and strong. If mary is not funny then someone is either not patient or not quiet and vice versa. If someone is not calm or not quiet then lucy is both brave and not funny. If someone is both not curious and not rich then john is not tall or patient and vice versa. ... | Lucy is humble. | entailment | (![X]:((~brave(X)|~creative(X))=>(calm(X)&strong(X))))&
((~funny(mary))<=>(?[X]:((~patient(X)<~>~quiet(X)))))&
((?[X]:((~calm(X)|~quiet(X))))=>((brave(lucy)&~funny(lucy))))&
((?[X]:((~curious(X)&~rich(X))))<=>((~tall(john)|patient(john))))&
(((quiet(mary)<~>~tall(mary)))<=>(?[X]:((~rich(X)<~>tall(X)))))&
(![X]:((~old(X... | humble(lucy) | [
"p2",
"p10",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8585500470619563873636434
% SZS output start Proof for 8585500470619563873636434
3. ? [X0] : (~quiet(X0) | ~calm(X0)) => (~funny(lucy) & brave(lucy)) [input p2]
11. ! [X0] : ((~humble(X0) <~> ~tall(X0)) <=> (~wise(X0) | brave(X0))) [input p10]
14. ! [X0] : (generous(X0) <=> (~curious(X0) ... | 0 |
If someone is either quiet or not patient then someone is both not curious and rich and vice versa. If fred is both rich and not strong then someone is wise. If someone is quiet or not rich then someone is both not kind and generous and vice versa. If lucy is rich then john is both not creative and not funny. If paul i... | Fred is not quiet. | neutral | ((?[X]:((quiet(X)<~>~patient(X))))<=>(?[X]:((~curious(X)&rich(X)))))&
(((rich(fred)&~strong(fred)))=>(?[X]:(wise(X))))&
((?[X]:((quiet(X)|~rich(X))))<=>(?[X]:((~kind(X)&generous(X)))))&
((rich(lucy))=>((~creative(john)&~funny(john))))&
(((patient(paul)&~brave(paul)))<=>(?[X]:(~kind(X))))&
(![X]:((patient(X)&humble(X))<... | ~quiet(fred) | [] | null | 0 |
If someone is not creative then someone is either not quiet or not strong and vice versa. If someone is either brave or generous then fred is not strong or not generous. Everyone who is rich is calm or not kind. Everyone who is not creative is rich. Everyone who is quiet or not creative is not tall or calm and vice ver... | Paul is old. | neutral | ((?[X]:(~creative(X)))<=>(?[X]:((~quiet(X)<~>~strong(X)))))&
((?[X]:((brave(X)<~>generous(X))))=>((~strong(fred)|~generous(fred))))&
(![X]:(rich(X)=>(calm(X)|~kind(X))))&
(![X]:(~creative(X)=>rich(X)))&
(![X]:((quiet(X)|~creative(X))<=>(~tall(X)|calm(X))))&
((?[X]:((curious(X)<~>rich(X))))<=>(humble(john)))&
(![X]:((~h... | old(paul) | [] | null | 0 |
Everyone who is either not rich or not funny is not calm.
If fred is not creative or old then someone is both not brave and humble and vice versa.
If mary is calm or generous then someone is not brave and vice versa.
Everyone who is both quiet and old is quiet.
Everyone who is both humble and curious is both not strong... | Mary is not quiet. | neutral | (![X]:((~rich(X)<~>~funny(X))=>~calm(X)))&
(((~creative(fred)|old(fred)))<=>(?[X]:((~brave(X)&humble(X)))))&
(((calm(mary)|generous(mary)))<=>(?[X]:(~brave(X))))&
(![X]:((quiet(X)&old(X))=>quiet(X)))&
(![X]:((humble(X)&curious(X))<=>(~strong(X)&~tall(X))))&
(![X]:((curious(X)<~>funny(X))<=>~tall(X)))&
(![X]:((tall(X)|c... | ~quiet(mary) | [] | null | 0 |
Everyone who is creative is not calm and vice versa.
Everyone who is either humble or creative is either not old or creative and vice versa.
If john is both patient and not calm then someone is kind and vice versa.
If someone is either wise or not tall then susan is either not patient or not curious and vice versa.
Eve... | Alice is humble. | neutral | (![X]:(creative(X)<=>~calm(X)))&
(![X]:((humble(X)<~>creative(X))<=>(~old(X)<~>creative(X))))&
(((patient(john)&~calm(john)))<=>(?[X]:(kind(X))))&
((?[X]:((wise(X)<~>~tall(X))))<=>((~patient(susan)<~>~curious(susan))))&
(![X]:((old(X)|strong(X))<=>creative(X)))&
(![X]:((brave(X)<~>funny(X))=>strong(X)))&
(![X]:(happy(X... | humble(alice) | [] | null | 0 |
Everyone who is not humble is happy and vice versa.
If someone is rich then john is not strong or patient and vice versa.
If alice is wise or old then someone is either generous or not creative.
Everyone who is wise is either not kind or not funny and vice versa.
Everyone who is both generous and happy is rich or not w... | Lucy is not strong. | neutral | (![X]:(~humble(X)<=>happy(X)))&
((?[X]:(rich(X)))<=>((~strong(john)|patient(john))))&
(((wise(alice)|old(alice)))=>(?[X]:((generous(X)<~>~creative(X)))))&
(![X]:(wise(X)<=>(~kind(X)<~>~funny(X))))&
(![X]:((generous(X)&happy(X))<=>(rich(X)|~wise(X))))&
(![X]:(patient(X)<=>(~wise(X)<~>generous(X))))&
(![X]:(happy(X)=>(~g... | ~strong(lucy) | [] | null | 0 |
Everyone who is not kind is not curious or patient and vice versa. If someone is patient then someone is both old and not curious and vice versa. If someone is not calm or funny then someone is tall and vice versa. If paul is not old then someone is either old or calm. If mary is humble then lucy is either creative or ... | Lucy is not curious. | neutral | (![X]:(~kind(X)<=>(~curious(X)|patient(X))))&
((?[X]:(patient(X)))<=>(?[X]:((old(X)&~curious(X)))))&
((?[X]:((~calm(X)|funny(X))))<=>(?[X]:(tall(X))))&
((~old(paul))=>(?[X]:((old(X)<~>calm(X)))))&
((humble(mary))<=>((creative(lucy)<~>~wise(lucy))))&
(![X]:((rich(X)&~rich(X))=>(humble(X)|rich(X))))&
(![X]:((~patient(X)<... | ~curious(lucy) | [] | null | 0 |
Everyone who is not quiet is either happy or creative. If someone is not rich or tall then someone is both creative and wise. Everyone who is either not tall or not wise is not wise or not patient. Everyone who is either humble or rich is calm. If someone is tall or not funny then lucy is strong. If someone is both not... | Susan is not funny. | contradiction | (![X]:(~quiet(X)=>(happy(X)<~>creative(X))))&
((?[X]:((~rich(X)|tall(X))))=>(?[X]:((creative(X)&wise(X)))))&
(![X]:((~tall(X)<~>~wise(X))=>(~wise(X)|~patient(X))))&
(![X]:((humble(X)<~>rich(X))=>calm(X)))&
((?[X]:((tall(X)|~funny(X))))=>(strong(lucy)))&
((?[X]:((~quiet(X)&~happy(X))))=>(?[X]:((creative(X)|~patient(X)))... | ~funny(susan) | [
"p6",
"p10",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4077543435267689488151733
% SZS output start Proof for 4077543435267689488151733
7. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~patient(X0) <~> calm(X0))) [input p6]
11. ? [X0] : ~curious(X0) => ? [X0] : (patient(X0) & quiet(X0)) [input p10]
14. ! [X0] : ((~funny(X0) <~> brave(X0)) => (~ge... | 0 |
Everyone who is both patient and not strong is either not wise or not strong and vice versa.
Everyone who is either wise or not patient is curious or not calm.
If someone is both wise and not curious then someone is either curious or humble.
Everyone who is either patient or not kind is both not brave and not creative.... | Fred is not tall. | contradiction | (![X]:((patient(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((wise(X)<~>~patient(X))=>(curious(X)|~calm(X))))&
((?[X]:((wise(X)&~curious(X))))=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((patient(X)<~>~kind(X))=>(~brave(X)&~creative(X))))&
(((humble(susan)&happy(susan)))<=>(?[X]:((calm(X)|~curious(X)))))&
(![X]:(... | ~tall(fred) | [
"p0",
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8194865602770904779673301
% SZS output start Proof for 8194865602770904779673301
1. ! [X0] : ((~strong(X0) & patient(X0)) <=> (~wise(X0) <~> ~strong(X0))) [input p0]
8. ? [X0] : (~funny(X0) | brave(X0)) => (old(john) & ~strong(john)) [input p7]
10. ! [X0] : ((~strong(X0) <~> brave(X0)) =>... | 0 |
Everyone who is not calm or not rich is not rich or not strong.
If john is rich or not curious then someone is either tall or old.
Everyone who is either brave or not strong is both happy and not funny.
Everyone who is happy is either kind or not calm.
Everyone who is not brave or quiet is either strong or not humble.
... | Susan is kind. | entailment | (![X]:((~calm(X)|~rich(X))=>(~rich(X)|~strong(X))))&
(((rich(john)|~curious(john)))=>(?[X]:((tall(X)<~>old(X)))))&
(![X]:((brave(X)<~>~strong(X))=>(happy(X)&~funny(X))))&
(![X]:(happy(X)=>(kind(X)<~>~calm(X))))&
(![X]:((~brave(X)|quiet(X))=>(strong(X)<~>~humble(X))))&
(![X]:(wise(X)<=>(~wise(X)|brave(X))))&
(((~humble(... | kind(susan) | [
"p4",
"p5",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7393796232622446165214639
% SZS output start Proof for 7393796232622446165214639
5. ! [X0] : ((quiet(X0) | ~brave(X0)) => (strong(X0) <~> ~humble(X0))) [input p4]
6. ! [X0] : (wise(X0) <=> (brave(X0) | ~wise(X0))) [input p5]
12. ! [X0] : ((creative(X0) <~> brave(X0)) <=> (humble(X0) & qui... | 0 |
If john is both not wise and not humble then alice is patient.
If someone is both not generous and calm then someone is both tall and not creative.
If someone is not wise or not curious then paul is not humble or patient and vice versa.
Everyone who is either not calm or generous is strong.
Everyone who is tall is stro... | Alice is patient. | contradiction | (((~wise(john)&~humble(john)))=>(patient(alice)))&
((?[X]:((~generous(X)&calm(X))))=>(?[X]:((tall(X)&~creative(X)))))&
((?[X]:((~wise(X)|~curious(X))))<=>((~humble(paul)|patient(paul))))&
(![X]:((~calm(X)<~>generous(X))=>strong(X)))&
(![X]:(tall(X)=>strong(X)))&
((?[X]:((~calm(X)<~>~quiet(X))))=>((~tall(alice)&happy(al... | patient(alice) | [
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 442281909810369643275197
% SZS output start Proof for 442281909810369643275197
13. ? [X0] : (humble(X0) <~> ~wise(X0)) => (~patient(alice) & ~tall(alice)) [input p12]
14. ? [X0] : (~curious(X0) & humble(X0)) <=> old(fred) [input p13]
16. ! [X0] : ((rich(X0) & wise(X0)) <=> (~kind(X0) | ~w... | 0 |
Everyone who is funny is tall or not quiet and vice versa.
Everyone who is both not quiet and not kind is happy.
If john is either not calm or tall then fred is both not humble and not patient and vice versa.
If lucy is not rich then someone is not humble.
Everyone who is not brave or strong is not patient or not stron... | Susan is patient. | contradiction | (![X]:(funny(X)<=>(tall(X)|~quiet(X))))&
(![X]:((~quiet(X)&~kind(X))=>happy(X)))&
(((~calm(john)<~>tall(john)))<=>((~humble(fred)&~patient(fred))))&
((~rich(lucy))=>(?[X]:(~humble(X))))&
(![X]:((~brave(X)|strong(X))<=>(~patient(X)|~strong(X))))&
(![X]:((~humble(X)&generous(X))<=>rich(X)))&
((?[X]:(curious(X)))<=>(?[X]:... | patient(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4900292541666750559885734
% SZS output start Proof for 4900292541666750559885734
8. ! [X0] : ((~curious(X0) | curious(X0)) => (~strong(X0) & ~patient(X0))) [input p7]
25. patient(susan) [input hypothesis]
32. ! [X0] : ((~strong(X0) & ~patient(X0)) | (curious(X0) & ~curious(X0))) [ennf tra... | 0 |
Everyone who is not creative or not kind is not brave and vice versa.
Everyone who is both not patient and tall is wise or not rich.
Everyone who is not curious or not funny is not happy or calm.
Everyone who is not generous is either not funny or not calm.
If fred is brave then mary is not rich.
Everyone who is both n... | John is not funny. | entailment | (![X]:((~creative(X)|~kind(X))<=>~brave(X)))&
(![X]:((~patient(X)&tall(X))=>(wise(X)|~rich(X))))&
(![X]:((~curious(X)|~funny(X))=>(~happy(X)|calm(X))))&
(![X]:(~generous(X)=>(~funny(X)<~>~calm(X))))&
((brave(fred))=>(~rich(mary)))&
(![X]:((~humble(X)&~strong(X))<=>(wise(X)&~happy(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~wi... | ~funny(john) | [
"p11",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 102495675242918766123912
% SZS output start Proof for 102495675242918766123912
12. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (happy(X0) | ~calm(X0))) [input p11]
17. quiet(john) <~> ~funny(john) [input p16]
23. kind(john) & ~happy(john) [input p22]
24. funny(john) [input hypothesis]
54. ! [... | 0 |
If someone is creative or not humble then someone is either not brave or quiet and vice versa.
Everyone who is not humble is not humble or not kind.
Everyone who is not curious is funny and vice versa.
Everyone who is either calm or happy is both kind and not tall and vice versa.
If someone is both happy and not happy ... | Alice is not tall. | neutral | ((?[X]:((creative(X)|~humble(X))))<=>(?[X]:((~brave(X)<~>quiet(X)))))&
(![X]:(~humble(X)=>(~humble(X)|~kind(X))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((calm(X)<~>happy(X))<=>(kind(X)&~tall(X))))&
((?[X]:((happy(X)&~happy(X))))<=>((~generous(john)<~>~quiet(john))))&
(![X]:((~wise(X)|strong(X))=>(~creative(X)&curious... | ~tall(alice) | [] | null | 0 |
Everyone who is calm is strong and vice versa.
If john is both tall and not strong then someone is strong or rich and vice versa.
Everyone who is both brave and not wise is not rich or not wise.
If paul is either humble or happy then john is either not patient or not calm.
If mary is either not creative or kind then so... | Alice is calm. | entailment | (![X]:(calm(X)<=>strong(X)))&
(((tall(john)&~strong(john)))<=>(?[X]:((strong(X)|rich(X)))))&
(![X]:((brave(X)&~wise(X))=>(~rich(X)|~wise(X))))&
(((humble(paul)<~>happy(paul)))=>((~patient(john)<~>~calm(john))))&
(((~creative(mary)<~>kind(mary)))<=>(?[X]:(creative(X))))&
(![X]:((quiet(X)<~>~tall(X))<=>(generous(X)|~tall... | calm(alice) | [
"p0",
"p7",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8849437748791396309133037
% SZS output start Proof for 8849437748791396309133037
1. ! [X0] : (calm(X0) <=> strong(X0)) [input p0]
8. ? [X0] : (strong(X0) & quiet(X0)) <=> (~calm(mary) | ~curious(mary)) [input p7]
10. ! [X0] : (calm(X0) <=> wise(X0)) [input p9]
14. ? [X0] : (strong(X0) | r... | 0 |
If someone is patient then someone is either happy or not tall and vice versa.
If someone is not humble then mary is either strong or patient and vice versa.
Everyone who is both not brave and not old is creative.
If someone is not humble or funny then someone is both tall and not wise and vice versa.
If someone is bot... | Paul is old. | entailment | ((?[X]:(patient(X)))<=>(?[X]:((happy(X)<~>~tall(X)))))&
((?[X]:(~humble(X)))<=>((strong(mary)<~>patient(mary))))&
(![X]:((~brave(X)&~old(X))=>creative(X)))&
((?[X]:((~humble(X)|funny(X))))<=>(?[X]:((tall(X)&~wise(X)))))&
((?[X]:((~brave(X)&~wise(X))))=>((~quiet(alice)<~>calm(alice))))&
(![X]:((quiet(X)|humble(X))<=>(~o... | old(paul) | [
"p3",
"p5",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2515531400072402641179391
% SZS output start Proof for 2515531400072402641179391
4. ? [X0] : (funny(X0) | ~humble(X0)) <=> ? [X0] : (~wise(X0) & tall(X0)) [input p3]
6. ! [X0] : ((humble(X0) | quiet(X0)) <=> (~old(X0) <~> kind(X0))) [input p5]
8. ! [X0] : ((~calm(X0) & strong(X0)) <=> ~qu... | 0 |
If paul is both creative and wise then someone is either wise or not humble and vice versa.
Everyone who is both patient and not old is rich or not patient.
Everyone who is quiet or not generous is either not humble or tall.
If someone is either curious or funny then fred is quiet.
If lucy is both not tall and not humb... | Mary is not funny. | neutral | (((creative(paul)&wise(paul)))<=>(?[X]:((wise(X)<~>~humble(X)))))&
(![X]:((patient(X)&~old(X))=>(rich(X)|~patient(X))))&
(![X]:((quiet(X)|~generous(X))=>(~humble(X)<~>tall(X))))&
((?[X]:((curious(X)<~>funny(X))))=>(quiet(fred)))&
(((~tall(lucy)&~humble(lucy)))<=>(?[X]:((calm(X)|~curious(X)))))&
((?[X]:((funny(X)&kind(X... | ~funny(mary) | [] | null | 0 |
Everyone who is not creative is not tall.
Everyone who is either wise or not rich is either not old or quiet and vice versa.
If susan is either not generous or wise then someone is both not strong and tall.
Everyone who is not patient is either not generous or strong.
Everyone who is tall is strong or not creative and ... | Fred is not funny. | neutral | (![X]:(~creative(X)=>~tall(X)))&
(![X]:((wise(X)<~>~rich(X))<=>(~old(X)<~>quiet(X))))&
(((~generous(susan)<~>wise(susan)))=>(?[X]:((~strong(X)&tall(X)))))&
(![X]:(~patient(X)=>(~generous(X)<~>strong(X))))&
(![X]:(tall(X)<=>(strong(X)|~creative(X))))&
(![X]:((~strong(X)|~creative(X))<=>(~creative(X)&~happy(X))))&
(![X]:... | ~funny(fred) | [] | null | 0 |
Everyone who is brave is either wise or not curious and vice versa.
If fred is both not generous and calm then someone is not old.
If someone is creative then someone is generous.
Everyone who is both not happy and tall is either not humble or not old.
If mary is not rich then someone is both not happy and old.
Everyon... | Mary is generous. | contradiction | (![X]:(brave(X)<=>(wise(X)<~>~curious(X))))&
(((~generous(fred)&calm(fred)))=>(?[X]:(~old(X))))&
((?[X]:(creative(X)))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)&tall(X))=>(~humble(X)<~>~old(X))))&
((~rich(mary))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:(generous(X)=>(strong(X)&~patient(X))))&
(![X]:((quiet(X)|kind(X))<=>(h... | generous(mary) | [
"p5",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8851396742573678379578247
% SZS output start Proof for 8851396742573678379578247
6. ! [X0] : (generous(X0) => (~patient(X0) & strong(X0))) [input p5]
7. ! [X0] : ((kind(X0) | quiet(X0)) <=> (funny(X0) | happy(X0))) [input p6]
11. ! [X0] : (~quiet(X0) <=> (funny(X0) & creative(X0))) [input... | 0 |
Everyone who is both not patient and not wise is both not happy and old.
Everyone who is both not creative and tall is both not generous and happy and vice versa.
Everyone who is kind or rich is not rich.
Everyone who is either not calm or humble is not old and vice versa.
Everyone who is rich is not tall.
If alice is ... | Alice is old. | neutral | (![X]:((~patient(X)&~wise(X))=>(~happy(X)&old(X))))&
(![X]:((~creative(X)&tall(X))<=>(~generous(X)&happy(X))))&
(![X]:((kind(X)|rich(X))=>~rich(X)))&
(![X]:((~calm(X)<~>humble(X))<=>~old(X)))&
(![X]:(rich(X)=>~tall(X)))&
(((calm(alice)<~>brave(alice)))=>(?[X]:(rich(X))))&
(![X]:((brave(X)<~>patient(X))<=>~rich(X)))&
(!... | old(alice) | [] | null | 0 |
If lucy is wise then someone is rich.
Everyone who is not calm is either not kind or not strong.
Everyone who is patient or not kind is either not old or not strong and vice versa.
Everyone who is either quiet or strong is both not tall and not wise and vice versa.
Everyone who is strong or not wise is both not humble ... | Susan is not calm. | contradiction | ((wise(lucy))=>(?[X]:(rich(X))))&
(![X]:(~calm(X)=>(~kind(X)<~>~strong(X))))&
(![X]:((patient(X)|~kind(X))<=>(~old(X)<~>~strong(X))))&
(![X]:((quiet(X)<~>strong(X))<=>(~tall(X)&~wise(X))))&
(![X]:((strong(X)|~wise(X))<=>(~humble(X)&kind(X))))&
(![X]:((generous(X)<~>~calm(X))=>~strong(X)))&
(![X]:((~kind(X)&~rich(X))=>(... | ~calm(susan) | [
"p1",
"p4",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 836243505909667475837084
% SZS output start Proof for 836243505909667475837084
2. ! [X0] : (~calm(X0) => (~kind(X0) <~> ~strong(X0))) [input p1]
5. ! [X0] : ((~wise(X0) | strong(X0)) <=> (kind(X0) & ~humble(X0))) [input p4]
14. ! [X0] : ((~brave(X0) & quiet(X0)) <=> (brave(X0) <~> ~old(X0... | 0 |
If someone is either not old or curious then someone is not old.
Everyone who is kind or not generous is both not brave and not old.
Everyone who is either not creative or happy is quiet and vice versa.
If someone is either not humble or strong then susan is brave.
Everyone who is either not generous or not rich is not... | Alice is creative. | neutral | ((?[X]:((~old(X)<~>curious(X))))=>(?[X]:(~old(X))))&
(![X]:((kind(X)|~generous(X))=>(~brave(X)&~old(X))))&
(![X]:((~creative(X)<~>happy(X))<=>quiet(X)))&
((?[X]:((~humble(X)<~>strong(X))))=>(brave(susan)))&
(![X]:((~generous(X)<~>~rich(X))=>~wise(X)))&
(![X]:((~generous(X)&rich(X))=>(~quiet(X)&~humble(X))))&
((patient(... | creative(alice) | [] | null | 0 |
If paul is brave or not humble then someone is not humble and vice versa. Everyone who is not quiet is both not happy and old. Everyone who is brave or strong is both calm and old. If mary is either funny or not wise then someone is both tall and strong and vice versa. Everyone who is not calm or not quiet is humble an... | Alice is not generous. | entailment | (((brave(paul)|~humble(paul)))<=>(?[X]:(~humble(X))))&
(![X]:(~quiet(X)=>(~happy(X)&old(X))))&
(![X]:((brave(X)|strong(X))=>(calm(X)&old(X))))&
(((funny(mary)<~>~wise(mary)))<=>(?[X]:((tall(X)&strong(X)))))&
(![X]:((~calm(X)|~quiet(X))<=>humble(X)))&
(((~humble(lucy)<~>creative(lucy)))=>((~happy(lucy)<~>brave(lucy))))&... | ~generous(alice) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p10",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5711747769916489116367586
% SZS output start Proof for 5711747769916489116367586
2. ! [X0] : (~quiet(X0) => (old(X0) & ~happy(X0))) [input p1]
3. ! [X0] : ((strong(X0) | brave(X0)) => (old(X0) & calm(X0))) [input p2]
5. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> humble(X0)) [input p4]
6. (~hu... | 0 |
Everyone who is either not funny or quiet is not strong or not tall.
If someone is happy then someone is wise and vice versa.
If fred is rich or brave then someone is either kind or not calm and vice versa.
Everyone who is not funny or creative is both not quiet and kind.
Everyone who is either curious or happy is eith... | Susan is rich. | entailment | (![X]:((~funny(X)<~>quiet(X))=>(~strong(X)|~tall(X))))&
((?[X]:(happy(X)))<=>(?[X]:(wise(X))))&
(((rich(fred)|brave(fred)))<=>(?[X]:((kind(X)<~>~calm(X)))))&
(![X]:((~funny(X)|creative(X))=>(~quiet(X)&kind(X))))&
(![X]:((curious(X)<~>happy(X))=>(~humble(X)<~>creative(X))))&
(((funny(mary)|quiet(mary)))<=>(?[X]:((~kind(... | rich(susan) | [
"p3",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5970113340438114033635585
% SZS output start Proof for 5970113340438114033635585
4. ! [X0] : ((creative(X0) | ~funny(X0)) => (kind(X0) & ~quiet(X0))) [input p3]
7. ? [X0] : tall(X0) <=> (~patient(alice) & brave(alice)) [input p6]
8. ! [X0] : ((~wise(X0) & tall(X0)) <=> (brave(X0) <~> wise... | 0 |
Everyone who is both not strong and curious is patient and vice versa.
Everyone who is either not humble or not calm is brave and vice versa.
Everyone who is both happy and not strong is both strong and funny.
Everyone who is old or funny is not brave or curious and vice versa.
If someone is both not funny and creative... | Fred is not calm. | entailment | (![X]:((~strong(X)&curious(X))<=>patient(X)))&
(![X]:((~humble(X)<~>~calm(X))<=>brave(X)))&
(![X]:((happy(X)&~strong(X))=>(strong(X)&funny(X))))&
(![X]:((old(X)|funny(X))<=>(~brave(X)|curious(X))))&
((?[X]:((~funny(X)&creative(X))))=>((curious(paul)<~>patient(paul))))&
(![X]:((~kind(X)&~strong(X))<=>(rich(X)<~>calm(X))... | ~calm(fred) | [
"p0",
"p2",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9076395881465642614783901
% SZS output start Proof for 9076395881465642614783901
1. ! [X0] : ((curious(X0) & ~strong(X0)) <=> patient(X0)) [input p0]
3. ! [X0] : ((~strong(X0) & happy(X0)) => (funny(X0) & strong(X0))) [input p2]
13. ! [X0] : ((~wise(X0) | calm(X0)) <=> (~funny(X0) & happy... | 0 |
If someone is either wise or not rich then someone is both generous and not creative.
Everyone who is not happy is not brave.
If someone is either not creative or patient then someone is not humble and vice versa.
If lucy is either not funny or wise then susan is either not patient or strong.
If alice is not curious th... | Alice is not tall. | contradiction | ((?[X]:((wise(X)<~>~rich(X))))=>(?[X]:((generous(X)&~creative(X)))))&
(![X]:(~happy(X)=>~brave(X)))&
((?[X]:((~creative(X)<~>patient(X))))<=>(?[X]:(~humble(X))))&
(((~funny(lucy)<~>wise(lucy)))=>((~patient(susan)<~>strong(susan))))&
((~curious(alice))=>((~creative(susan)|~humble(susan))))&
((?[X]:((quiet(X)|~tall(X))))... | ~tall(alice) | [
"p7",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7901018470704532836571288
% SZS output start Proof for 7901018470704532836571288
8. ! [X0] : (tall(X0) <=> (~curious(X0) | creative(X0))) [input p7]
12. ! [X0] : ((rich(X0) & kind(X0)) <=> (quiet(X0) <~> ~quiet(X0))) [input p11]
13. ! [X0] : ((generous(X0) <~> ~happy(X0)) <=> (happy(X0) <... | 0 |
Everyone who is not kind is both creative and wise.
Everyone who is not curious or curious is generous and vice versa.
Everyone who is not generous is either not quiet or rich.
Everyone who is not happy or not quiet is both wise and not curious.
Everyone who is both not patient and not funny is both not curious and gen... | Susan is not rich. | entailment | (![X]:(~kind(X)=>(creative(X)&wise(X))))&
(![X]:((~curious(X)|curious(X))<=>generous(X)))&
(![X]:(~generous(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~happy(X)|~quiet(X))=>(wise(X)&~curious(X))))&
(![X]:((~patient(X)&~funny(X))<=>(~curious(X)&generous(X))))&
((~humble(paul))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((happy(X... | ~rich(susan) | [
"p3",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6488044446252619624599068
% SZS output start Proof for 6488044446252619624599068
4. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (~curious(X0) & wise(X0))) [input p3]
9. (~quiet(lucy) & ~brave(lucy)) <=> ? [X0] : rich(X0) [input p8]
12. ! [X0] : ((~quiet(X0) <~> ~curious(X0)) <=> (wise(X0) | ~c... | 0 |
Everyone who is either not calm or kind is either not humble or not curious and vice versa.
If lucy is both not strong and patient then susan is both quiet and brave and vice versa.
Everyone who is wise or not kind is both not kind and not humble.
Everyone who is generous is not old or not curious.
Everyone who is eith... | Susan is not strong. | entailment | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~curious(X))))&
(((~strong(lucy)&patient(lucy)))<=>((quiet(susan)&brave(susan))))&
(![X]:((wise(X)|~kind(X))=>(~kind(X)&~humble(X))))&
(![X]:(generous(X)=>(~old(X)|~curious(X))))&
(![X]:((humble(X)<~>~happy(X))<=>funny(X)))&
(![X]:(old(X)=>(~old(X)<~>quiet(X))))&
(![X]:((curi... | ~strong(susan) | [
"p4",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6297860438208362389465027
% SZS output start Proof for 6297860438208362389465027
5. ! [X0] : ((humble(X0) <~> ~happy(X0)) <=> funny(X0)) [input p4]
14. (funny(alice) & ~humble(alice)) <=> ? [X0] : ~curious(X0) [input p13]
15. ~strong(susan) <=> ? [X0] : (curious(X0) | ~happy(X0)) [input p... | 0 |
If someone is not funny then someone is not creative or not patient.
Everyone who is funny or not happy is both patient and not happy and vice versa.
If paul is not quiet then mary is either not old or kind and vice versa.
Everyone who is either not strong or funny is not old.
If someone is patient or tall then lucy is... | Paul is quiet. | neutral | ((?[X]:(~funny(X)))=>(?[X]:((~creative(X)|~patient(X)))))&
(![X]:((funny(X)|~happy(X))<=>(patient(X)&~happy(X))))&
((~quiet(paul))<=>((~old(mary)<~>kind(mary))))&
(![X]:((~strong(X)<~>funny(X))=>~old(X)))&
((?[X]:((patient(X)|tall(X))))<=>((rich(lucy)&~curious(lucy))))&
((~quiet(lucy))=>(wise(fred)))&
((curious(fred))<... | quiet(paul) | [] | null | 0 |
If lucy is either not curious or not rich then someone is either tall or not quiet and vice versa.
If mary is both quiet and not brave then susan is both old and not curious.
If john is not brave then fred is not tall.
Everyone who is both creative and not generous is not humble or not patient and vice versa.
Everyone ... | Susan is not calm. | contradiction | (((~curious(lucy)<~>~rich(lucy)))<=>(?[X]:((tall(X)<~>~quiet(X)))))&
(((quiet(mary)&~brave(mary)))=>((old(susan)&~curious(susan))))&
((~brave(john))=>(~tall(fred)))&
(![X]:((creative(X)&~generous(X))<=>(~humble(X)|~patient(X))))&
(![X]:((curious(X)&creative(X))<=>~curious(X)))&
(![X]:((rich(X)<~>~tall(X))=>(~strong(X)&... | ~calm(susan) | [
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3090535801065643340742758
% SZS output start Proof for 3090535801065643340742758
4. ! [X0] : ((~generous(X0) & creative(X0)) <=> (~patient(X0) | ~humble(X0))) [input p3]
5. ! [X0] : ((creative(X0) & curious(X0)) <=> ~curious(X0)) [input p4]
10. (humble(fred) | ~quiet(fred)) <=> (calm(susa... | 0 |
If someone is not kind or not calm then lucy is both funny and generous. Everyone who is either creative or not curious is either not brave or tall. If fred is either not wise or not curious then someone is both not creative and patient. Everyone who is patient or not tall is either wise or patient and vice versa. Ever... | John is not patient. | contradiction | ((?[X]:((~kind(X)|~calm(X))))=>((funny(lucy)&generous(lucy))))&
(![X]:((creative(X)<~>~curious(X))=>(~brave(X)<~>tall(X))))&
(((~wise(fred)<~>~curious(fred)))=>(?[X]:((~creative(X)&patient(X)))))&
(![X]:((patient(X)|~tall(X))<=>(wise(X)<~>patient(X))))&
(![X]:((~tall(X)|quiet(X))=>rich(X)))&
(![X]:((creative(X)|strong(... | ~patient(john) | [
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3318635568404774993297130
% SZS output start Proof for 3318635568404774993297130
9. ! [X0] : (~generous(X0) <=> ~patient(X0)) [input p8]
19. generous(john) [input p18]
25. ~patient(john) [input hypothesis]
47. ! [X0] : ((~generous(X0) | patient(X0)) & (~patient(X0) | generous(X0))) [nnf t... | 0 |
If someone is both quiet and not funny then someone is both strong and not calm.
Everyone who is curious or not curious is either not generous or not creative and vice versa.
Everyone who is both wise and strong is either not funny or not tall.
Everyone who is happy or not creative is both not brave and tall.
If someon... | John is not wise. | entailment | ((?[X]:((quiet(X)&~funny(X))))=>(?[X]:((strong(X)&~calm(X)))))&
(![X]:((curious(X)|~curious(X))<=>(~generous(X)<~>~creative(X))))&
(![X]:((wise(X)&strong(X))=>(~funny(X)<~>~tall(X))))&
(![X]:((happy(X)|~creative(X))=>(~brave(X)&tall(X))))&
((?[X]:(tall(X)))=>((calm(mary)<~>strong(mary))))&
(![X]:(curious(X)<=>happy(X))... | ~wise(john) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9058921943384118944104543
% SZS output start Proof for 9058921943384118944104543
2. ! [X0] : ((~curious(X0) | curious(X0)) <=> (~generous(X0) <~> ~creative(X0))) [input p1]
11. ! [X0] : ((wise(X0) | humble(X0)) => (~creative(X0) & ~generous(X0))) [input p10]
24. wise(john) [input hypothes... | 0 |
Everyone who is strong is not tall or not kind and vice versa.
If someone is not quiet then someone is either not creative or not quiet.
Everyone who is tall or not funny is both brave and not generous and vice versa.
If lucy is both not strong and not quiet then someone is not kind and vice versa.
If someone is not st... | Paul is rich. | contradiction | (![X]:(strong(X)<=>(~tall(X)|~kind(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~creative(X)<~>~quiet(X)))))&
(![X]:((tall(X)|~funny(X))<=>(brave(X)&~generous(X))))&
(((~strong(lucy)&~quiet(lucy)))<=>(?[X]:(~kind(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((funny(X)<~>~brave(X)))))&
((~funny(mary))=>((strong(fred)&tall(fred))))&
(![X]... | rich(paul) | [
"p0",
"p2",
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 324922645726487406099434
% SZS output start Proof for 324922645726487406099434
1. ! [X0] : (strong(X0) <=> (~kind(X0) | ~tall(X0))) [input p0]
3. ! [X0] : ((~funny(X0) | tall(X0)) <=> (~generous(X0) & brave(X0))) [input p2]
5. ? [X0] : ~strong(X0) <=> ? [X0] : (funny(X0) <~> ~brave(X0)) [... | 0 |
Everyone who is both not patient and brave is either creative or curious. If someone is not creative then susan is humble. Everyone who is quiet or not strong is either not tall or calm. Everyone who is tall or kind is generous and vice versa. Everyone who is both not tall and not quiet is brave. If john is not humble ... | Paul is not happy. | entailment | (![X]:((~patient(X)&brave(X))=>(creative(X)<~>curious(X))))&
((?[X]:(~creative(X)))=>(humble(susan)))&
(![X]:((quiet(X)|~strong(X))=>(~tall(X)<~>calm(X))))&
(![X]:((tall(X)|kind(X))<=>generous(X)))&
(![X]:((~tall(X)&~quiet(X))=>brave(X)))&
(((~humble(john)|patient(john)))=>(?[X]:((rich(X)|~generous(X)))))&
((?[X]:(~hum... | ~happy(paul) | [
"p1",
"p10",
"p12",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7841758736202687771750506
% SZS output start Proof for 7841758736202687771750506
2. ? [X0] : ~creative(X0) => humble(susan) [input p1]
11. ! [X0] : ((humble(X0) | kind(X0)) => (kind(X0) & ~creative(X0))) [input p10]
13. ! [X0] : ((humble(X0) <~> kind(X0)) <=> brave(X0)) [input p12]
15. br... | 0 |
Everyone who is quiet or generous is both funny and not patient and vice versa.
Everyone who is either tall or creative is both wise and not kind.
If fred is rich or brave then fred is both humble and not wise and vice versa.
If alice is not curious then alice is not funny and vice versa.
Everyone who is wise is genero... | Paul is not kind. | neutral | (![X]:((quiet(X)|generous(X))<=>(funny(X)&~patient(X))))&
(![X]:((tall(X)<~>creative(X))=>(wise(X)&~kind(X))))&
(((rich(fred)|brave(fred)))<=>((humble(fred)&~wise(fred))))&
((~curious(alice))<=>(~funny(alice)))&
(![X]:(wise(X)<=>(generous(X)|strong(X))))&
(![X]:(~strong(X)<=>(humble(X)&wise(X))))&
((~humble(john))=>(?[... | ~kind(paul) | [] | null | 0 |
If someone is both not calm and creative then someone is tall or generous and vice versa.
If john is strong or old then someone is both not quiet and calm.
Everyone who is not calm is either not strong or not wise.
Everyone who is both generous and not funny is either not patient or not happy.
Everyone who is not calm ... | Fred is curious. | contradiction | ((?[X]:((~calm(X)&creative(X))))<=>(?[X]:((tall(X)|generous(X)))))&
(((strong(john)|old(john)))=>(?[X]:((~quiet(X)&calm(X)))))&
(![X]:(~calm(X)=>(~strong(X)<~>~wise(X))))&
(![X]:((generous(X)&~funny(X))=>(~patient(X)<~>~happy(X))))&
(![X]:(~calm(X)=>~quiet(X)))&
(((calm(lucy)&~quiet(lucy)))<=>((~patient(lucy)<~>~strong... | curious(fred) | [
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3663113504149861330131709
% SZS output start Proof for 3663113504149861330131709
9. ! [X0] : ((creative(X0) | rich(X0)) => (~wise(X0) & ~strong(X0))) [input p8]
16. ! [X0] : ((kind(X0) & creative(X0)) <=> curious(X0)) [input p15]
20. strong(fred) [input p19]
25. curious(fred) [input hypot... | 0 |
If john is not brave then someone is both not quiet and not patient and vice versa. Everyone who is not patient or not quiet is either brave or happy and vice versa. Everyone who is calm or creative is both not kind and old and vice versa. If someone is brave then someone is kind. Everyone who is both patient and tall ... | Susan is not calm. | neutral | ((~brave(john))<=>(?[X]:((~quiet(X)&~patient(X)))))&
(![X]:((~patient(X)|~quiet(X))<=>(brave(X)<~>happy(X))))&
(![X]:((calm(X)|creative(X))<=>(~kind(X)&old(X))))&
((?[X]:(brave(X)))=>(?[X]:(kind(X))))&
(![X]:((patient(X)&tall(X))=>(~brave(X)&~strong(X))))&
(![X]:((~old(X)<~>~curious(X))=>tall(X)))&
((~quiet(fred))<=>((... | ~calm(susan) | [] | null | 0 |
If paul is patient then someone is either generous or not calm.
Everyone who is not happy is tall.
Everyone who is not old or funny is either not generous or happy.
If john is not creative or old then someone is both not rich and not strong.
If someone is wise or kind then someone is strong or not strong.
If susan is c... | Susan is not tall. | contradiction | ((patient(paul))=>(?[X]:((generous(X)<~>~calm(X)))))&
(![X]:(~happy(X)=>tall(X)))&
(![X]:((~old(X)|funny(X))=>(~generous(X)<~>happy(X))))&
(((~creative(john)|old(john)))=>(?[X]:((~rich(X)&~strong(X)))))&
((?[X]:((wise(X)|kind(X))))=>(?[X]:((strong(X)|~strong(X)))))&
((creative(susan))=>((kind(paul)&~strong(paul))))&
(!... | ~tall(susan) | [
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 616218225937046796878907
% SZS output start Proof for 616218225937046796878907
2. ! [X0] : (~happy(X0) => tall(X0)) [input p1]
15. (~patient(mary) <~> patient(mary)) <=> ~happy(susan) [input p14]
25. ~tall(susan) [input hypothesis]
31. ! [X0] : (tall(X0) | happy(X0)) [ennf transformation ... | 0 |
Everyone who is not old is strong.
If lucy is not funny or not humble then alice is not calm or humble.
If lucy is strong or wise then susan is either not creative or not happy and vice versa.
If susan is both strong and quiet then paul is both wise and not wise.
Everyone who is either happy or humble is either not gen... | Susan is old. | entailment | (![X]:(~old(X)=>strong(X)))&
(((~funny(lucy)|~humble(lucy)))=>((~calm(alice)|humble(alice))))&
(((strong(lucy)|wise(lucy)))<=>((~creative(susan)<~>~happy(susan))))&
(((strong(susan)&quiet(susan)))=>((wise(paul)&~wise(paul))))&
(![X]:((happy(X)<~>humble(X))<=>(~generous(X)<~>brave(X))))&
((?[X]:((old(X)&~humble(X))))=>(... | old(susan) | [
"p0",
"p3",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8036514688650403054626118
% SZS output start Proof for 8036514688650403054626118
1. ! [X0] : (~old(X0) => strong(X0)) [input p0]
4. (quiet(susan) & strong(susan)) => (~wise(paul) & wise(paul)) [input p3]
14. ! [X0] : ((tall(X0) | creative(X0)) <=> (quiet(X0) & ~kind(X0))) [input p13]
24. ... | 0 |
Everyone who is both tall and kind is not patient.
If someone is either not brave or humble then someone is either not brave or kind.
Everyone who is quiet is both not patient and not wise and vice versa.
If paul is both not happy and not rich then someone is strong or not patient and vice versa.
If someone is not crea... | Mary is not quiet. | entailment | (![X]:((tall(X)&kind(X))=>~patient(X)))&
((?[X]:((~brave(X)<~>humble(X))))=>(?[X]:((~brave(X)<~>kind(X)))))&
(![X]:(quiet(X)<=>(~patient(X)&~wise(X))))&
(((~happy(paul)&~rich(paul)))<=>(?[X]:((strong(X)|~patient(X)))))&
((?[X]:((~creative(X)|old(X))))<=>(?[X]:((old(X)<~>~strong(X)))))&
((humble(mary))<=>(?[X]:((strong(... | ~quiet(mary) | [
"p2",
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1725551923044778829966643
% SZS output start Proof for 1725551923044778829966643
3. ! [X0] : (quiet(X0) <=> (~wise(X0) & ~patient(X0))) [input p2]
4. (~rich(paul) & ~happy(paul)) <=> ? [X0] : (~patient(X0) | strong(X0)) [input p3]
13. ! [X0] : ((~happy(X0) <~> rich(X0)) => (curious(X0) & ... | 0 |
If paul is both kind and creative then paul is both quiet and strong and vice versa. If lucy is wise then someone is both kind and creative. If john is both patient and not kind then someone is both kind and not creative and vice versa. Everyone who is both rich and tall is both not brave and generous. Everyone who is ... | Mary is kind. | neutral | (((kind(paul)&creative(paul)))<=>((quiet(paul)&strong(paul))))&
((wise(lucy))=>(?[X]:((kind(X)&creative(X)))))&
(((patient(john)&~kind(john)))<=>(?[X]:((kind(X)&~creative(X)))))&
(![X]:((rich(X)&tall(X))=>(~brave(X)&generous(X))))&
(![X]:(~brave(X)<=>(~brave(X)&~wise(X))))&
((?[X]:((~humble(X)&creative(X))))=>((happy(j... | kind(mary) | [] | null | 0 |
Everyone who is both not rich and not brave is curious and vice versa. If lucy is either not patient or creative then someone is not old or not creative and vice versa. Everyone who is both tall and not calm is both strong and creative. Everyone who is either not happy or not patient is both not calm and not old and vi... | Mary is quiet. | neutral | (![X]:((~rich(X)&~brave(X))<=>curious(X)))&
(((~patient(lucy)<~>creative(lucy)))<=>(?[X]:((~old(X)|~creative(X)))))&
(![X]:((tall(X)&~calm(X))=>(strong(X)&creative(X))))&
(![X]:((~happy(X)<~>~patient(X))<=>(~calm(X)&~old(X))))&
((?[X]:(~humble(X)))=>(?[X]:((funny(X)&~funny(X)))))&
(![X]:(~funny(X)<=>(~kind(X)&~patient(... | quiet(mary) | [] | null | 0 |
Everyone who is either kind or not rich is either not humble or calm and vice versa.
If alice is calm then alice is both wise and quiet.
Everyone who is both not curious and happy is either old or not strong.
Everyone who is both kind and curious is not curious and vice versa.
Everyone who is either not patient or funn... | Mary is quiet. | contradiction | (![X]:((kind(X)<~>~rich(X))<=>(~humble(X)<~>calm(X))))&
((calm(alice))=>((wise(alice)&quiet(alice))))&
(![X]:((~curious(X)&happy(X))=>(old(X)<~>~strong(X))))&
(![X]:((kind(X)&curious(X))<=>~curious(X)))&
(![X]:((~patient(X)<~>funny(X))=>(patient(X)&brave(X))))&
(![X]:(~generous(X)=>(~brave(X)&~quiet(X))))&
((?[X]:((qui... | quiet(mary) | [
"p3",
"p5",
"p9",
"p10",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6775356224355637520416884
% SZS output start Proof for 6775356224355637520416884
4. ! [X0] : ((curious(X0) & kind(X0)) <=> ~curious(X0)) [input p3]
6. ! [X0] : (~generous(X0) => (~quiet(X0) & ~brave(X0))) [input p5]
10. ! [X0] : ((~generous(X0) & brave(X0)) <=> (~happy(X0) | ~generous(X0)... | 0 |
Everyone who is either quiet or kind is not kind or funny and vice versa.
If susan is old then paul is not tall or strong.
Everyone who is not generous is both generous and patient and vice versa.
If someone is brave then susan is not rich or curious.
If someone is not calm then paul is curious or creative.
Everyone wh... | Paul is curious. | contradiction | (![X]:((quiet(X)<~>kind(X))<=>(~kind(X)|funny(X))))&
((old(susan))=>((~tall(paul)|strong(paul))))&
(![X]:(~generous(X)<=>(generous(X)&patient(X))))&
((?[X]:(brave(X)))=>((~rich(susan)|curious(susan))))&
((?[X]:(~calm(X)))=>((curious(paul)|creative(paul))))&
(![X]:((~wise(X)|curious(X))<=>(~generous(X)&kind(X))))&
(((~o... | curious(paul) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1935316234772667797283021
% SZS output start Proof for 1935316234772667797283021
3. ! [X0] : (~generous(X0) <=> (patient(X0) & generous(X0))) [input p2]
6. ! [X0] : ((curious(X0) | ~wise(X0)) <=> (kind(X0) & ~generous(X0))) [input p5]
20. curious(paul) [input hypothesis]
33. ! [X0] : ((~g... | 0 |
Everyone who is happy is both generous and tall and vice versa. Everyone who is either humble or funny is either not humble or humble and vice versa. Everyone who is both patient and strong is either wise or not quiet. If lucy is either calm or humble then someone is either rich or not kind and vice versa. Everyone who... | Fred is not curious. | entailment | (![X]:(happy(X)<=>(generous(X)&tall(X))))&
(![X]:((humble(X)<~>funny(X))<=>(~humble(X)<~>humble(X))))&
(![X]:((patient(X)&strong(X))=>(wise(X)<~>~quiet(X))))&
(((calm(lucy)<~>humble(lucy)))<=>(?[X]:((rich(X)<~>~kind(X)))))&
(![X]:((~old(X)&strong(X))=>(brave(X)|~creative(X))))&
(![X]:((creative(X)&brave(X))<=>(wise(X)|... | ~curious(fred) | [
"p0",
"p5",
"p6",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7376183243489339758316222
% SZS output start Proof for 7376183243489339758316222
1. ! [X0] : (happy(X0) <=> (tall(X0) & generous(X0))) [input p0]
6. ! [X0] : ((brave(X0) & creative(X0)) <=> (brave(X0) | wise(X0))) [input p5]
7. (humble(fred) & ~happy(fred)) <=> creative(susan) [input p6]
... | 0 |
Everyone who is not curious or kind is both not tall and not quiet and vice versa. If someone is curious then someone is both kind and curious. If paul is not funny or not creative then someone is either not strong or not calm and vice versa. If someone is both not strong and creative then someone is not brave or not c... | Paul is not patient. | entailment | (![X]:((~curious(X)|kind(X))<=>(~tall(X)&~quiet(X))))&
((?[X]:(curious(X)))=>(?[X]:((kind(X)&curious(X)))))&
(((~funny(paul)|~creative(paul)))<=>(?[X]:((~strong(X)<~>~calm(X)))))&
((?[X]:((~strong(X)&creative(X))))<=>(?[X]:((~brave(X)|~creative(X)))))&
(![X]:((kind(X)&~humble(X))<=>(~funny(X)<~>generous(X))))&
(((rich(... | ~patient(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7061916770840848110234275
% SZS output start Proof for 7061916770840848110234275
9. ! [X0] : (~funny(X0) <=> (~patient(X0) <~> funny(X0))) [input p8]
21. patient(paul) [input hypothesis]
53. ! [X0] : ((~funny(X0) | ((~patient(X0) | ~funny(X0)) & (funny(X0) | patient(X0)))) & (((~funny(X0)... | 0 |
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