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 not calm is not funny and vice versa. If fred is both not curious and kind then alice is both not kind and not happy. If someone is funny then lucy is brave and vice versa. Everyone who is rich is both not rich and not creative and vice versa. If someone is old or not kind then someone is not strong and... | Lucy is creative. | entailment | (![X]:(~calm(X)<=>~funny(X)))&
(((~curious(fred)&kind(fred)))=>((~kind(alice)&~happy(alice))))&
((?[X]:(funny(X)))<=>(brave(lucy)))&
(![X]:(rich(X)<=>(~rich(X)&~creative(X))))&
((?[X]:((old(X)|~kind(X))))<=>(?[X]:(~strong(X))))&
(![X]:((wise(X)&~happy(X))=>(rich(X)&kind(X))))&
(![X]:((~creative(X)<~>quiet(X))<=>calm(X)... | creative(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6951268413902403418584055
% SZS output start Proof for 6951268413902403418584055
4. ! [X0] : (rich(X0) <=> (~creative(X0) & ~rich(X0))) [input p3]
24. ~creative(lucy) [input hypothesis]
41. ! [X0] : ((rich(X0) | (creative(X0) | rich(X0))) & ((~creative(X0) & ~rich(X0)) | ~rich(X0))) [nnf ... | 0 |
Everyone who is generous or humble is both wise and strong and vice versa.
Everyone who is either not humble or not kind is both kind and generous and vice versa.
If someone is not patient or kind then someone is either patient or not kind.
If susan is both quiet and not tall then someone is not curious and vice versa.... | Alice is humble. | contradiction | (![X]:((generous(X)|humble(X))<=>(wise(X)&strong(X))))&
(![X]:((~humble(X)<~>~kind(X))<=>(kind(X)&generous(X))))&
((?[X]:((~patient(X)|kind(X))))=>(?[X]:((patient(X)<~>~kind(X)))))&
(((quiet(susan)&~tall(susan)))<=>(?[X]:(~curious(X))))&
(![X]:((~patient(X)|~funny(X))<=>(~old(X)&happy(X))))&
(![X]:((~generous(X)|~kind(... | humble(alice) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4510375809961806895217238
% SZS output start Proof for 4510375809961806895217238
2. ! [X0] : ((~humble(X0) <~> ~kind(X0)) <=> (generous(X0) & kind(X0))) [input p1]
6. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> (generous(X0) & rich(X0))) [input p5]
23. humble(alice) [input hypothesis]
35. !... | 0 |
If someone is brave or generous then someone is both not wise and funny and vice versa.
Everyone who is not wise or not happy is either tall or not curious.
Everyone who is either quiet or rich is both kind and tall.
Everyone who is not strong is both strong and not quiet.
If susan is not rich then john is either not t... | John is not curious. | contradiction | ((?[X]:((brave(X)|generous(X))))<=>(?[X]:((~wise(X)&funny(X)))))&
(![X]:((~wise(X)|~happy(X))=>(tall(X)<~>~curious(X))))&
(![X]:((quiet(X)<~>rich(X))=>(kind(X)&tall(X))))&
(![X]:(~strong(X)=>(strong(X)&~quiet(X))))&
((~rich(susan))=>((~tall(john)<~>calm(john))))&
(![X]:(generous(X)=>~brave(X)))&
(![X]:(~happy(X)=>(~pat... | ~curious(john) | [
"p1",
"p3",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8787852362604119192731868
% SZS output start Proof for 8787852362604119192731868
2. ! [X0] : ((~happy(X0) | ~wise(X0)) => (tall(X0) <~> ~curious(X0))) [input p1]
4. ! [X0] : (~strong(X0) => (~quiet(X0) & strong(X0))) [input p3]
10. ! [X0] : (~strong(X0) <=> ~tall(X0)) [input p9]
14. ? [X0... | 0 |
Everyone who is both not creative and rich is humble or rich and vice versa.
If someone is either not brave or quiet then paul is both not old and calm and vice versa.
Everyone who is either not wise or not curious is both kind and wise and vice versa.
Everyone who is curious is tall and vice versa.
Everyone who is bot... | Mary is not old. | entailment | (![X]:((~creative(X)&rich(X))<=>(humble(X)|rich(X))))&
((?[X]:((~brave(X)<~>quiet(X))))<=>((~old(paul)&calm(paul))))&
(![X]:((~wise(X)<~>~curious(X))<=>(kind(X)&wise(X))))&
(![X]:(curious(X)<=>tall(X)))&
(![X]:((funny(X)&~rich(X))<=>(~rich(X)<~>funny(X))))&
((?[X]:((calm(X)|~generous(X))))=>(?[X]:(creative(X))))&
((?[X... | ~old(mary) | [
"p0",
"p2",
"p3",
"p4",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6030599787730524286529293
% SZS output start Proof for 6030599787730524286529293
1. ! [X0] : ((rich(X0) & ~creative(X0)) <=> (rich(X0) | humble(X0))) [input p0]
3. ! [X0] : ((~wise(X0) <~> ~curious(X0)) <=> (wise(X0) & kind(X0))) [input p2]
4. ! [X0] : (curious(X0) <=> tall(X0)) [input p3... | 0 |
If someone is curious then someone is quiet. If someone is either not curious or not patient then fred is both old and not generous. If someone is brave then alice is both not quiet and humble. Everyone who is both not funny and not old is both tall and not kind and vice versa. If someone is either not generous or tall... | Fred is happy. | contradiction | ((?[X]:(curious(X)))=>(?[X]:(quiet(X))))&
((?[X]:((~curious(X)<~>~patient(X))))=>((old(fred)&~generous(fred))))&
((?[X]:(brave(X)))=>((~quiet(alice)&humble(alice))))&
(![X]:((~funny(X)&~old(X))<=>(tall(X)&~kind(X))))&
((?[X]:((~generous(X)<~>tall(X))))<=>((generous(john)&kind(john))))&
(![X]:((happy(X)|tall(X))<=>tall(... | happy(fred) | [
"p1",
"p3",
"p5",
"p11",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 352769840231748179693400
% SZS output start Proof for 352769840231748179693400
2. ? [X0] : (~curious(X0) <~> ~patient(X0)) => (~generous(fred) & old(fred)) [input p1]
4. ! [X0] : ((~old(X0) & ~funny(X0)) <=> (~kind(X0) & tall(X0))) [input p3]
6. ! [X0] : ((tall(X0) | happy(X0)) <=> tall(X... | 0 |
Everyone who is both rich and strong is quiet or not creative and vice versa.
Everyone who is happy is not creative or patient and vice versa.
Everyone who is either old or not brave is not kind and vice versa.
Everyone who is both not happy and not kind is both funny and happy.
Everyone who is happy is both not old an... | Mary is not patient. | contradiction | (![X]:((rich(X)&strong(X))<=>(quiet(X)|~creative(X))))&
(![X]:(happy(X)<=>(~creative(X)|patient(X))))&
(![X]:((old(X)<~>~brave(X))<=>~kind(X)))&
(![X]:((~happy(X)&~kind(X))=>(funny(X)&happy(X))))&
(![X]:(happy(X)=>(~old(X)&wise(X))))&
(![X]:(~quiet(X)=>~kind(X)))&
(![X]:((generous(X)<~>wise(X))<=>(~happy(X)&calm(X))))&... | ~patient(mary) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7017128498022013157146774
% SZS output start Proof for 7017128498022013157146774
1. ! [X0] : ((strong(X0) & rich(X0)) <=> (~creative(X0) | quiet(X0))) [input p0]
3. ! [X0] : ((old(X0) <~> ~brave(X0)) <=> ~kind(X0)) [input p2]
4. ! [X0] : ((~kind(X0) & ~happy(X0)) => (happy(X0) & funny(X0)... | 0 |
If someone is both not funny and not humble then alice is both curious and strong.
Everyone who is calm is wise and vice versa.
If fred is both not old and wise then someone is calm or rich.
If mary is old then mary is brave and vice versa.
If susan is both not tall and kind then susan is not kind or kind.
Everyone who... | John is creative. | contradiction | ((?[X]:((~funny(X)&~humble(X))))=>((curious(alice)&strong(alice))))&
(![X]:(calm(X)<=>wise(X)))&
(((~old(fred)&wise(fred)))=>(?[X]:((calm(X)|rich(X)))))&
((old(mary))<=>(brave(mary)))&
(((~tall(susan)&kind(susan)))=>((~kind(susan)|kind(susan))))&
(![X]:((calm(X)&rich(X))=>~kind(X)))&
(![X]:((patient(X)<~>kind(X))<=>~wi... | creative(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7616048736953630231235376
% SZS output start Proof for 7616048736953630231235376
14. ? [X0] : creative(X0) <=> (calm(john) & ~creative(john)) [input p13]
25. creative(john) [input hypothesis]
62. (? [X0] : creative(X0) | (~calm(john) | creative(john))) & ((calm(john) & ~creative(john)) | ... | 0 |
Everyone who is not humble is curious. Everyone who is not quiet or not generous is not creative or curious and vice versa. If paul is not calm or wise then fred is not rich. Everyone who is either not humble or not generous is not kind or funny. If fred is not strong or not generous then someone is calm or wise. If so... | Paul is patient. | neutral | (![X]:(~humble(X)=>curious(X)))&
(![X]:((~quiet(X)|~generous(X))<=>(~creative(X)|curious(X))))&
(((~calm(paul)|wise(paul)))=>(~rich(fred)))&
(![X]:((~humble(X)<~>~generous(X))=>(~kind(X)|funny(X))))&
(((~strong(fred)|~generous(fred)))=>(?[X]:((calm(X)|wise(X)))))&
((?[X]:(happy(X)))=>(?[X]:((tall(X)|~curious(X)))))&
((... | patient(paul) | [] | null | 0 |
If someone is both funny and tall then fred is calm or strong.
Everyone who is not rich or not funny is both not happy and not patient.
If lucy is not patient then someone is not wise and vice versa.
If someone is not tall or generous then someone is both not generous and kind and vice versa.
Everyone who is both not q... | Fred is not patient. | entailment | ((?[X]:((funny(X)&tall(X))))=>((calm(fred)|strong(fred))))&
(![X]:((~rich(X)|~funny(X))=>(~happy(X)&~patient(X))))&
((~patient(lucy))<=>(?[X]:(~wise(X))))&
((?[X]:((~tall(X)|generous(X))))<=>(?[X]:((~generous(X)&kind(X)))))&
(![X]:((~quiet(X)&~calm(X))=>(~strong(X)<~>generous(X))))&
(![X]:((quiet(X)<~>funny(X))=>~tall(... | ~patient(fred) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8675984456455796668392224
% SZS output start Proof for 8675984456455796668392224
11. ! [X0] : ((~happy(X0) | patient(X0)) <=> brave(X0)) [input p10]
14. ! [X0] : ((creative(X0) | patient(X0)) => ~brave(X0)) [input p13]
24. patient(fred) [input hypothesis]
28. ! [X0] : ((~happy(X0) | patie... | 0 |
Everyone who is either humble or not brave is funny or old and vice versa.
If someone is happy or not wise then someone is patient or generous and vice versa.
Everyone who is not old is strong.
If someone is not curious then mary is both tall and not wise and vice versa.
If someone is not patient or not old then john i... | Alice is calm. | contradiction | (![X]:((humble(X)<~>~brave(X))<=>(funny(X)|old(X))))&
((?[X]:((happy(X)|~wise(X))))<=>(?[X]:((patient(X)|generous(X)))))&
(![X]:(~old(X)=>strong(X)))&
((?[X]:(~curious(X)))<=>((tall(mary)&~wise(mary))))&
((?[X]:((~patient(X)|~old(X))))=>((~patient(john)<~>~creative(john))))&
((?[X]:((humble(X)<~>rich(X))))<=>((~quiet(l... | calm(alice) | [
"p0",
"p2",
"p8",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4661367093604520620931195
% SZS output start Proof for 4661367093604520620931195
1. ! [X0] : ((humble(X0) <~> ~brave(X0)) <=> (old(X0) | funny(X0))) [input p0]
3. ! [X0] : (~old(X0) => strong(X0)) [input p2]
9. ! [X0] : ((~humble(X0) | ~curious(X0)) <=> (creative(X0) & ~calm(X0))) [input ... | 0 |
If mary is either strong or rich then john is humble.
Everyone who is old is both not wise and patient and vice versa.
Everyone who is not patient or not tall is calm and vice versa.
Everyone who is not quiet or not rich is both not quiet and strong and vice versa.
Everyone who is both not humble and quiet is not happy... | John is rich. | entailment | (((strong(mary)<~>rich(mary)))=>(humble(john)))&
(![X]:(old(X)<=>(~wise(X)&patient(X))))&
(![X]:((~patient(X)|~tall(X))<=>calm(X)))&
(![X]:((~quiet(X)|~rich(X))<=>(~quiet(X)&strong(X))))&
(![X]:((~humble(X)&quiet(X))<=>(~happy(X)|kind(X))))&
(![X]:((~creative(X)|~calm(X))<=>(strong(X)|~brave(X))))&
(![X]:((curious(X)<~... | rich(john) | [
"p1",
"p2",
"p3",
"p4",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7044026190574053496655593
% SZS output start Proof for 7044026190574053496655593
2. ! [X0] : (old(X0) <=> (patient(X0) & ~wise(X0))) [input p1]
3. ! [X0] : ((~tall(X0) | ~patient(X0)) <=> calm(X0)) [input p2]
4. ! [X0] : ((~rich(X0) | ~quiet(X0)) <=> (strong(X0) & ~quiet(X0))) [input p3]
... | 0 |
If mary is not funny then paul is tall or not patient. Everyone who is either not brave or wise is both generous and not quiet and vice versa. If someone is either happy or creative then paul is both calm and not tall. If someone is not rich then john is both not quiet and not strong. Everyone who is not curious or bra... | Mary is not rich. | contradiction | ((~funny(mary))=>((tall(paul)|~patient(paul))))&
(![X]:((~brave(X)<~>wise(X))<=>(generous(X)&~quiet(X))))&
((?[X]:((happy(X)<~>creative(X))))=>((calm(paul)&~tall(paul))))&
((?[X]:(~rich(X)))=>((~quiet(john)&~strong(john))))&
(![X]:((~curious(X)|brave(X))=>(~kind(X)|~brave(X))))&
(![X]:((humble(X)<~>wise(X))<=>old(X)))&... | ~rich(mary) | [
"p1",
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5722669410361308178581232
% SZS output start Proof for 5722669410361308178581232
2. ! [X0] : ((~brave(X0) <~> wise(X0)) <=> (~quiet(X0) & generous(X0))) [input p1]
4. ? [X0] : ~rich(X0) => (~strong(john) & ~quiet(john)) [input p3]
8. (~wise(paul) & ~generous(paul)) <=> ? [X0] : ~quiet(X0)... | 0 |
If mary is both not tall and tall then someone is either strong or not quiet and vice versa. If someone is both not strong and not calm then paul is both rich and not wise and vice versa. Everyone who is both not tall and quiet is both brave and generous. If john is either not strong or not generous then someone is wis... | Alice is not funny. | contradiction | (((~tall(mary)&tall(mary)))<=>(?[X]:((strong(X)<~>~quiet(X)))))&
((?[X]:((~strong(X)&~calm(X))))<=>((rich(paul)&~wise(paul))))&
(![X]:((~tall(X)&quiet(X))=>(brave(X)&generous(X))))&
(((~strong(john)<~>~generous(john)))=>(?[X]:((wise(X)|~wise(X)))))&
((?[X]:((~creative(X)&~calm(X))))=>(?[X]:(~generous(X))))&
((?[X]:(~ki... | ~funny(alice) | [
"p0",
"p2",
"p9",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 521300236087021888141071
% SZS output start Proof for 521300236087021888141071
1. (tall(mary) & ~tall(mary)) <=> ? [X0] : (strong(X0) <~> ~quiet(X0)) [input p0]
3. ! [X0] : ((quiet(X0) & ~tall(X0)) => (generous(X0) & brave(X0))) [input p2]
10. ! [X0] : ((~strong(X0) <~> tall(X0)) <=> ~fun... | 0 |
Everyone who is not funny is both not humble and strong. Everyone who is not funny is both creative and not kind and vice versa. Everyone who is both wise and not old is both old and not funny. If someone is not brave or brave then someone is either not patient or rich. Everyone who is either quiet or not patient is ei... | Lucy is creative. | entailment | (![X]:(~funny(X)=>(~humble(X)&strong(X))))&
(![X]:(~funny(X)<=>(creative(X)&~kind(X))))&
(![X]:((wise(X)&~old(X))=>(old(X)&~funny(X))))&
((?[X]:((~brave(X)|brave(X))))=>(?[X]:((~patient(X)<~>rich(X)))))&
(![X]:((quiet(X)<~>~patient(X))=>(~calm(X)<~>~happy(X))))&
((?[X]:((tall(X)<~>patient(X))))=>((creative(lucy)&~curio... | creative(lucy) | [
"p4",
"p5",
"p7",
"p8",
"p9",
"p14",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4624521546574764648951970
% SZS output start Proof for 4624521546574764648951970
5. ! [X0] : ((quiet(X0) <~> ~patient(X0)) => (~calm(X0) <~> ~happy(X0))) [input p4]
6. ? [X0] : (tall(X0) <~> patient(X0)) => (~curious(lucy) & creative(lucy)) [input p5]
8. ! [X0] : ((brave(X0) & tall(X0)) <... | 0 |
If paul is humble then someone is kind or generous. If alice is either tall or curious then alice is curious or humble and vice versa. If someone is either not generous or humble then someone is patient. If paul is either not creative or old then lucy is either brave or not humble and vice versa. If lucy is either crea... | Fred is funny. | neutral | ((humble(paul))=>(?[X]:((kind(X)|generous(X)))))&
(((tall(alice)<~>curious(alice)))<=>((curious(alice)|humble(alice))))&
((?[X]:((~generous(X)<~>humble(X))))=>(?[X]:(patient(X))))&
(((~creative(paul)<~>old(paul)))<=>((brave(lucy)<~>~humble(lucy))))&
(((creative(lucy)<~>~strong(lucy)))<=>(kind(mary)))&
(![X]:((~calm(X)<... | funny(fred) | [] | null | 0 |
If lucy is wise then paul is not tall and vice versa.
Everyone who is not kind is old.
If mary is both calm and strong then alice is either not calm or old and vice versa.
Everyone who is not generous or tall is not wise or curious.
If someone is both not kind and wise then someone is wise or not generous and vice vers... | Alice is happy. | entailment | ((wise(lucy))<=>(~tall(paul)))&
(![X]:(~kind(X)=>old(X)))&
(((calm(mary)&strong(mary)))<=>((~calm(alice)<~>old(alice))))&
(![X]:((~generous(X)|tall(X))=>(~wise(X)|curious(X))))&
((?[X]:((~kind(X)&wise(X))))<=>(?[X]:((wise(X)|~generous(X)))))&
(![X]:(~kind(X)=>(~generous(X)&strong(X))))&
(((funny(fred)&~brave(fred)))=>(... | happy(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2806898977944238364312929
% SZS output start Proof for 2806898977944238364312929
16. happy(alice) [input p15]
22. ~happy(alice) [input hypothesis]
129. happy(alice) [cnf transformation 16]
137. ~happy(alice) [cnf transformation 22]
321. $false [subsumption resolution 137,129]
% SZS output... | 0 |
If fred is rich then someone is not wise and vice versa.
Everyone who is rich or not quiet is either brave or not quiet and vice versa.
Everyone who is both happy and not kind is either not happy or brave and vice versa.
If john is either not quiet or not humble then someone is not strong and vice versa.
Everyone who i... | Susan is not calm. | entailment | ((rich(fred))<=>(?[X]:(~wise(X))))&
(![X]:((rich(X)|~quiet(X))<=>(brave(X)<~>~quiet(X))))&
(![X]:((happy(X)&~kind(X))<=>(~happy(X)<~>brave(X))))&
(((~quiet(john)<~>~humble(john)))<=>(?[X]:(~strong(X))))&
(![X]:((~humble(X)|kind(X))<=>(~humble(X)&brave(X))))&
(((~funny(susan)<~>calm(susan)))<=>(?[X]:((happy(X)|~rich(X))... | ~calm(susan) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 335986113569724271413347
% SZS output start Proof for 335986113569724271413347
2. ! [X0] : ((~quiet(X0) | rich(X0)) <=> (brave(X0) <~> ~quiet(X0))) [input p1]
3. ! [X0] : ((~kind(X0) & happy(X0)) <=> (~happy(X0) <~> brave(X0))) [input p2]
5. ! [X0] : ((kind(X0) | ~humble(X0)) <=> (brave(X... | 0 |
If someone is quiet then lucy is either not strong or not rich.
If someone is either not patient or not quiet then someone is curious.
Everyone who is patient is both not tall and happy.
Everyone who is not rich is not brave or not creative and vice versa.
If someone is either tall or patient then someone is either hap... | John is not rich. | entailment | ((?[X]:(quiet(X)))=>((~strong(lucy)<~>~rich(lucy))))&
((?[X]:((~patient(X)<~>~quiet(X))))=>(?[X]:(curious(X))))&
(![X]:(patient(X)=>(~tall(X)&happy(X))))&
(![X]:(~rich(X)<=>(~brave(X)|~creative(X))))&
((?[X]:((tall(X)<~>patient(X))))<=>(?[X]:((happy(X)<~>curious(X)))))&
(![X]:((creative(X)|~creative(X))<=>(kind(X)|~qui... | ~rich(john) | [
"p3",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6611699421957444855401588
% SZS output start Proof for 6611699421957444855401588
4. ! [X0] : (~rich(X0) <=> (~creative(X0) | ~brave(X0))) [input p3]
11. ! [X0] : ((~calm(X0) | kind(X0)) => ~old(X0)) [input p10]
12. ! [X0] : (~old(X0) <=> (~strong(X0) & ~creative(X0))) [input p11]
16. ! [X... | 0 |
Everyone who is either not creative or not generous is not generous and vice versa.
Everyone who is not old is both generous and calm.
If someone is not curious or not humble then paul is either patient or not quiet.
Everyone who is both not humble and not generous is either not rich or not old and vice versa.
If someo... | John is not curious. | contradiction | (![X]:((~creative(X)<~>~generous(X))<=>~generous(X)))&
(![X]:(~old(X)=>(generous(X)&calm(X))))&
((?[X]:((~curious(X)|~humble(X))))=>((patient(paul)<~>~quiet(paul))))&
(![X]:((~humble(X)&~generous(X))<=>(~rich(X)<~>~old(X))))&
((?[X]:((~quiet(X)&~brave(X))))<=>(?[X]:((~wise(X)&~quiet(X)))))&
((?[X]:((generous(X)|tall(X)... | ~curious(john) | [
"p0",
"p2",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4576736474066864657561017
% SZS output start Proof for 4576736474066864657561017
1. ! [X0] : ((~creative(X0) <~> ~generous(X0)) <=> ~generous(X0)) [input p0]
3. ? [X0] : (~humble(X0) | ~curious(X0)) => (patient(paul) <~> ~quiet(paul)) [input p2]
9. ? [X0] : (quiet(X0) | ~creative(X0)) => ... | 0 |
Everyone who is brave is both brave and not calm and vice versa.
Everyone who is either not funny or not humble is both humble and not patient.
If fred is either not old or old then susan is either quiet or calm.
Everyone who is tall is funny.
If john is not kind then john is either tall or not quiet and vice versa.
Ev... | Mary is humble. | neutral | (![X]:(brave(X)<=>(brave(X)&~calm(X))))&
(![X]:((~funny(X)<~>~humble(X))=>(humble(X)&~patient(X))))&
(((~old(fred)<~>old(fred)))=>((quiet(susan)<~>calm(susan))))&
(![X]:(tall(X)=>funny(X)))&
((~kind(john))<=>((tall(john)<~>~quiet(john))))&
(![X]:((patient(X)|~quiet(X))=>(~tall(X)|funny(X))))&
((?[X]:(~strong(X)))=>(?[X... | humble(mary) | [] | null | 0 |
If alice is quiet then susan is tall and vice versa.
If fred is generous or not brave then susan is both funny and not kind.
If john is either rich or kind then someone is either not old or old and vice versa.
Everyone who is both generous and not wise is both not wise and kind.
If someone is not old then someone is no... | Fred is happy. | entailment | ((quiet(alice))<=>(tall(susan)))&
(((generous(fred)|~brave(fred)))=>((funny(susan)&~kind(susan))))&
(((rich(john)<~>kind(john)))<=>(?[X]:((~old(X)<~>old(X)))))&
(![X]:((generous(X)&~wise(X))=>(~wise(X)&kind(X))))&
((?[X]:(~old(X)))<=>(?[X]:(~rich(X))))&
(((tall(susan)&strong(susan)))=>(?[X]:(old(X))))&
(![X]:((~strong(... | happy(fred) | [
"p10",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8182671681578397532655378
% SZS output start Proof for 8182671681578397532655378
11. ! [X0] : ((funny(X0) <~> ~creative(X0)) <=> (old(X0) & happy(X0))) [input p10]
13. ! [X0] : (~curious(X0) <=> (funny(X0) <~> creative(X0))) [input p12]
24. curious(fred) [input p23]
25. ~happy(fred) [inpu... | 0 |
Everyone who is creative or not rich is either humble or calm and vice versa.
If someone is funny or tall then alice is kind and vice versa.
If mary is creative then mary is both wise and not humble and vice versa.
If someone is not tall or generous then susan is not tall and vice versa.
Everyone who is happy is not ha... | Mary is tall. | neutral | (![X]:((creative(X)|~rich(X))<=>(humble(X)<~>calm(X))))&
((?[X]:((funny(X)|tall(X))))<=>(kind(alice)))&
((creative(mary))<=>((wise(mary)&~humble(mary))))&
((?[X]:((~tall(X)|generous(X))))<=>(~tall(susan)))&
(![X]:(happy(X)=>(~happy(X)|old(X))))&
(![X]:(~creative(X)<=>tall(X)))&
(![X]:((~patient(X)<~>~brave(X))=>(~kind(... | tall(mary) | [] | null | 0 |
Everyone who is quiet or not kind is old or tall. Everyone who is creative is either patient or wise and vice versa. Everyone who is both not quiet and not old is creative or not happy and vice versa. Everyone who is not happy is not brave and vice versa. If someone is both not old and kind then someone is not brave or... | Alice is not wise. | neutral | (![X]:((quiet(X)|~kind(X))=>(old(X)|tall(X))))&
(![X]:(creative(X)<=>(patient(X)<~>wise(X))))&
(![X]:((~quiet(X)&~old(X))<=>(creative(X)|~happy(X))))&
(![X]:(~happy(X)<=>~brave(X)))&
((?[X]:((~old(X)&kind(X))))=>(?[X]:((~brave(X)|~wise(X)))))&
((?[X]:((~kind(X)&brave(X))))=>(?[X]:((calm(X)&~rich(X)))))&
((?[X]:((humble... | ~wise(alice) | [] | null | 0 |
Everyone who is creative is both not quiet and not strong and vice versa.
Everyone who is not strong or tall is either not rich or not calm and vice versa.
If john is not generous then mary is either creative or not quiet and vice versa.
Everyone who is either not kind or old is either rich or not kind.
Everyone who is... | Mary is not kind. | neutral | (![X]:(creative(X)<=>(~quiet(X)&~strong(X))))&
(![X]:((~strong(X)|tall(X))<=>(~rich(X)<~>~calm(X))))&
((~generous(john))<=>((creative(mary)<~>~quiet(mary))))&
(![X]:((~kind(X)<~>old(X))=>(rich(X)<~>~kind(X))))&
(![X]:((~strong(X)|~happy(X))<=>(~funny(X)|calm(X))))&
(((rich(fred)|wise(fred)))<=>((~tall(mary)&~calm(mary)... | ~kind(mary) | [] | null | 0 |
If alice is tall or creative then someone is either not generous or not curious and vice versa. If john is both not patient and strong then paul is not funny or humble. Everyone who is funny or quiet is either not humble or not rich. If lucy is either funny or not humble then alice is either humble or not kind. If mary... | Alice is not quiet. | entailment | (((tall(alice)|creative(alice)))<=>(?[X]:((~generous(X)<~>~curious(X)))))&
(((~patient(john)&strong(john)))=>((~funny(paul)|humble(paul))))&
(![X]:((funny(X)|quiet(X))=>(~humble(X)<~>~rich(X))))&
(((funny(lucy)<~>~humble(lucy)))=>((humble(alice)<~>~kind(alice))))&
(((wise(mary)&~humble(mary)))<=>(?[X]:(~rich(X))))&
((?... | ~quiet(alice) | [
"p2",
"p4",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 878164802449103582434835
% SZS output start Proof for 878164802449103582434835
3. ! [X0] : ((quiet(X0) | funny(X0)) => (~humble(X0) <~> ~rich(X0))) [input p2]
5. (~humble(mary) & wise(mary)) <=> ? [X0] : ~rich(X0) [input p4]
12. ! [X0] : (~curious(X0) => (wise(X0) & tall(X0))) [input p11]... | 0 |
If lucy is either not rich or curious then paul is not old or wise and vice versa. If john is both not brave and patient then lucy is both funny and not old and vice versa. Everyone who is wise is either tall or calm and vice versa. If someone is either curious or kind then someone is both not generous and not funny an... | Lucy is not rich. | neutral | (((~rich(lucy)<~>curious(lucy)))<=>((~old(paul)|wise(paul))))&
(((~brave(john)&patient(john)))<=>((funny(lucy)&~old(lucy))))&
(![X]:(wise(X)<=>(tall(X)<~>calm(X))))&
((?[X]:((curious(X)<~>kind(X))))<=>(?[X]:((~generous(X)&~funny(X)))))&
(((~tall(john)|~happy(john)))<=>((~generous(paul)<~>funny(paul))))&
(![X]:((~old(X)... | ~rich(lucy) | [] | null | 0 |
Everyone who is old is either strong or not wise and vice versa.
Everyone who is either not kind or strong is not humble or strong and vice versa.
Everyone who is either funny or patient is not generous.
If paul is either calm or wise then someone is funny.
Everyone who is calm is both creative and wise.
Everyone who i... | John is curious. | neutral | (![X]:(old(X)<=>(strong(X)<~>~wise(X))))&
(![X]:((~kind(X)<~>strong(X))<=>(~humble(X)|strong(X))))&
(![X]:((funny(X)<~>patient(X))=>~generous(X)))&
(((calm(paul)<~>wise(paul)))=>(?[X]:(funny(X))))&
(![X]:(calm(X)=>(creative(X)&wise(X))))&
(![X]:((~wise(X)<~>calm(X))<=>(humble(X)<~>~creative(X))))&
(![X]:((~old(X)&wise(... | curious(john) | [] | null | 0 |
If someone is kind or quiet then someone is happy.
Everyone who is both not tall and not generous is either curious or not curious and vice versa.
If susan is tall then someone is humble.
Everyone who is not strong is tall or not strong.
Everyone who is not patient is funny or quiet.
Everyone who is old or not happy is... | John is not brave. | neutral | ((?[X]:((kind(X)|quiet(X))))=>(?[X]:(happy(X))))&
(![X]:((~tall(X)&~generous(X))<=>(curious(X)<~>~curious(X))))&
((tall(susan))=>(?[X]:(humble(X))))&
(![X]:(~strong(X)=>(tall(X)|~strong(X))))&
(![X]:(~patient(X)=>(funny(X)|quiet(X))))&
(![X]:((old(X)|~happy(X))=>(creative(X)|calm(X))))&
((?[X]:((~brave(X)<~>quiet(X))))... | ~brave(john) | [] | null | 0 |
If alice is not kind or not curious then someone is tall.
If someone is either rich or wise then someone is patient and vice versa.
If mary is both not humble and curious then someone is both not strong and not rich and vice versa.
Everyone who is not curious or patient is generous or not creative and vice versa.
Every... | Mary is not tall. | neutral | (((~kind(alice)|~curious(alice)))=>(?[X]:(tall(X))))&
((?[X]:((rich(X)<~>wise(X))))<=>(?[X]:(patient(X))))&
(((~humble(mary)&curious(mary)))<=>(?[X]:((~strong(X)&~rich(X)))))&
(![X]:((~curious(X)|patient(X))<=>(generous(X)|~creative(X))))&
(![X]:(~kind(X)=>(~funny(X)&~old(X))))&
(![X]:((~humble(X)|wise(X))<=>(~brave(X)... | ~tall(mary) | [] | null | 0 |
Everyone who is either brave or not rich is either kind or not quiet and vice versa.
If paul is not kind or old then john is rich and vice versa.
Everyone who is quiet is either not happy or generous and vice versa.
Everyone who is both not old and not tall is either not calm or curious and vice versa.
If someone is ei... | Mary is not wise. | contradiction | (![X]:((brave(X)<~>~rich(X))<=>(kind(X)<~>~quiet(X))))&
(((~kind(paul)|old(paul)))<=>(rich(john)))&
(![X]:(quiet(X)<=>(~happy(X)<~>generous(X))))&
(![X]:((~old(X)&~tall(X))<=>(~calm(X)<~>curious(X))))&
((?[X]:((~quiet(X)<~>funny(X))))=>(~brave(mary)))&
(![X]:((old(X)&~strong(X))<=>(~wise(X)|old(X))))&
(((wise(paul)<~>~... | ~wise(mary) | [
"p0",
"p4",
"p5",
"p7",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7525593290773376534506994
% SZS output start Proof for 7525593290773376534506994
1. ! [X0] : ((brave(X0) <~> ~rich(X0)) <=> (kind(X0) <~> ~quiet(X0))) [input p0]
5. ? [X0] : (~quiet(X0) <~> funny(X0)) => ~brave(mary) [input p4]
6. ! [X0] : ((~strong(X0) & old(X0)) <=> (old(X0) | ~wise(X0)... | 0 |
If someone is kind then mary is both wise and not calm. If john is both not calm and quiet then someone is not creative and vice versa. If john is humble or not creative then someone is both not quiet and funny and vice versa. Everyone who is tall or funny is both kind and happy. Everyone who is rich is either not funn... | Lucy is generous. | contradiction | ((?[X]:(kind(X)))=>((wise(mary)&~calm(mary))))&
(((~calm(john)&quiet(john)))<=>(?[X]:(~creative(X))))&
(((humble(john)|~creative(john)))<=>(?[X]:((~quiet(X)&funny(X)))))&
(![X]:((tall(X)|funny(X))=>(kind(X)&happy(X))))&
(![X]:(rich(X)<=>(~funny(X)<~>~happy(X))))&
((?[X]:((tall(X)|~curious(X))))<=>(?[X]:((funny(X)<~>tal... | generous(lucy) | [
"p0",
"p1",
"p3",
"p5",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6269620151972421989198418
% SZS output start Proof for 6269620151972421989198418
1. ? [X0] : kind(X0) => (~calm(mary) & wise(mary)) [input p0]
2. (quiet(john) & ~calm(john)) <=> ? [X0] : ~creative(X0) [input p1]
4. ! [X0] : ((funny(X0) | tall(X0)) => (happy(X0) & kind(X0))) [input p3]
6. ... | 0 |
If someone is both old and not old then someone is quiet or not humble and vice versa. If lucy is not creative or not patient then someone is both generous and tall and vice versa. Everyone who is either not brave or humble is not curious and vice versa. Everyone who is either funny or not funny is calm. Everyone who i... | John is strong. | neutral | ((?[X]:((old(X)&~old(X))))<=>(?[X]:((quiet(X)|~humble(X)))))&
(((~creative(lucy)|~patient(lucy)))<=>(?[X]:((generous(X)&tall(X)))))&
(![X]:((~brave(X)<~>humble(X))<=>~curious(X)))&
(![X]:((funny(X)<~>~funny(X))=>calm(X)))&
(![X]:((~creative(X)&~tall(X))=>(~strong(X)|curious(X))))&
((?[X]:(wise(X)))<=>((quiet(alice)<~>~... | strong(john) | [] | null | 0 |
If someone is generous or funny then someone is both quiet and creative. Everyone who is happy is either patient or wise. If susan is not rich or curious then someone is both not brave and rich and vice versa. Everyone who is not humble or not happy is brave and vice versa. Everyone who is not creative or humble is bot... | Susan is not happy. | neutral | ((?[X]:((generous(X)|funny(X))))=>(?[X]:((quiet(X)&creative(X)))))&
(![X]:(happy(X)=>(patient(X)<~>wise(X))))&
(((~rich(susan)|curious(susan)))<=>(?[X]:((~brave(X)&rich(X)))))&
(![X]:((~humble(X)|~happy(X))<=>brave(X)))&
(![X]:((~creative(X)|humble(X))=>(~tall(X)&tall(X))))&
((?[X]:((old(X)<~>~happy(X))))=>((humble(ali... | ~happy(susan) | [] | null | 0 |
If someone is not old then alice is either not humble or not quiet and vice versa.
If someone is both curious and not quiet then someone is both not wise and not generous.
If john is strong then someone is not tall or kind.
Everyone who is both not patient and not wise is both not humble and not patient.
Everyone who i... | Susan is patient. | entailment | ((?[X]:(~old(X)))<=>((~humble(alice)<~>~quiet(alice))))&
((?[X]:((curious(X)&~quiet(X))))=>(?[X]:((~wise(X)&~generous(X)))))&
((strong(john))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:((~patient(X)&~wise(X))=>(~humble(X)&~patient(X))))&
(![X]:((strong(X)|~tall(X))=>(~calm(X)&rich(X))))&
(![X]:((~quiet(X)|~humble(X))=>(old(X... | patient(susan) | [
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4098451425395207609739462
% SZS output start Proof for 4098451425395207609739462
12. ! [X0] : ((~brave(X0) | humble(X0)) => (happy(X0) & ~happy(X0))) [input p11]
13. ! [X0] : ((happy(X0) | ~brave(X0)) <=> (strong(X0) | ~patient(X0))) [input p12]
21. ~strong(susan) & ~happy(susan) [input p... | 0 |
Everyone who is not happy or quiet is both not kind and not brave and vice versa.
If someone is both not quiet and not patient then someone is happy and vice versa.
If someone is patient then mary is either patient or creative.
If someone is both not humble and generous then someone is humble or strong and vice versa.
... | Mary is not funny. | neutral | (![X]:((~happy(X)|quiet(X))<=>(~kind(X)&~brave(X))))&
((?[X]:((~quiet(X)&~patient(X))))<=>(?[X]:(happy(X))))&
((?[X]:(patient(X)))=>((patient(mary)<~>creative(mary))))&
((?[X]:((~humble(X)&generous(X))))<=>(?[X]:((humble(X)|strong(X)))))&
(![X]:(calm(X)=>(~calm(X)<~>~old(X))))&
(![X]:((humble(X)|patient(X))<=>(wise(X)&... | ~funny(mary) | [] | null | 0 |
If someone is happy then someone is kind or rich and vice versa. Everyone who is both brave and curious is both brave and not old and vice versa. Everyone who is not brave or brave is both not old and strong. Everyone who is strong is both not creative and not brave and vice versa. If lucy is either rich or calm then p... | Lucy is generous. | entailment | ((?[X]:(happy(X)))<=>(?[X]:((kind(X)|rich(X)))))&
(![X]:((brave(X)&curious(X))<=>(brave(X)&~old(X))))&
(![X]:((~brave(X)|brave(X))=>(~old(X)&strong(X))))&
(![X]:(strong(X)<=>(~creative(X)&~brave(X))))&
(((rich(lucy)<~>calm(lucy)))=>(~brave(paul)))&
(![X]:(~old(X)=>(wise(X)<~>creative(X))))&
(![X]:((patient(X)&humble(X)... | generous(lucy) | [
"p2",
"p3",
"p5",
"p7",
"p8",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2941165259737042456472625
% SZS output start Proof for 2941165259737042456472625
3. ! [X0] : ((brave(X0) | ~brave(X0)) => (strong(X0) & ~old(X0))) [input p2]
4. ! [X0] : (strong(X0) <=> (~brave(X0) & ~creative(X0))) [input p3]
6. ! [X0] : (~old(X0) => (wise(X0) <~> creative(X0))) [input p... | 0 |
Everyone who is old is either not strong or humble and vice versa.
Everyone who is not curious or quiet is either happy or not rich.
If mary is both kind and not old then john is either generous or kind and vice versa.
Everyone who is brave or kind is both wise and not tall.
Everyone who is either generous or humble is... | Mary is happy. | contradiction | (![X]:(old(X)<=>(~strong(X)<~>humble(X))))&
(![X]:((~curious(X)|quiet(X))=>(happy(X)<~>~rich(X))))&
(((kind(mary)&~old(mary)))<=>((generous(john)<~>kind(john))))&
(![X]:((brave(X)|kind(X))=>(wise(X)&~tall(X))))&
(![X]:((generous(X)<~>humble(X))<=>(happy(X)<~>~calm(X))))&
(![X]:((rich(X)<~>~quiet(X))=>~creative(X)))&
(!... | happy(mary) | [
"p1",
"p5",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4930992155047927768248584
% SZS output start Proof for 4930992155047927768248584
2. ! [X0] : ((quiet(X0) | ~curious(X0)) => (happy(X0) <~> ~rich(X0))) [input p1]
6. ! [X0] : ((rich(X0) <~> ~quiet(X0)) => ~creative(X0)) [input p5]
7. ! [X0] : (~quiet(X0) => (strong(X0) | quiet(X0))) [input... | 0 |
If someone is both kind and not creative then someone is either not brave or creative and vice versa. If someone is both not creative and not rich then someone is either humble or not patient and vice versa. If someone is old then alice is both tall and generous and vice versa. Everyone who is not patient or humble is ... | Susan is old. | entailment | ((?[X]:((kind(X)&~creative(X))))<=>(?[X]:((~brave(X)<~>creative(X)))))&
((?[X]:((~creative(X)&~rich(X))))<=>(?[X]:((humble(X)<~>~patient(X)))))&
((?[X]:(old(X)))<=>((tall(alice)&generous(alice))))&
(![X]:((~patient(X)|humble(X))=>(~strong(X)<~>~creative(X))))&
(![X]:((~creative(X)<~>~kind(X))<=>(~calm(X)|~generous(X)))... | old(susan) | [
"p4",
"p5",
"p8",
"p9",
"p13",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5836459780193784892672632
% SZS output start Proof for 5836459780193784892672632
5. ! [X0] : ((~creative(X0) <~> ~kind(X0)) <=> (~generous(X0) | ~calm(X0))) [input p4]
6. ! [X0] : ((patient(X0) <~> ~humble(X0)) => (rich(X0) & humble(X0))) [input p5]
9. ! [X0] : ((calm(X0) <~> ~old(X0)) =>... | 0 |
Everyone who is either not strong or not kind is not rich.
Everyone who is humble is brave.
If paul is curious or funny then someone is both not funny and not happy.
Everyone who is both not creative and calm is both not rich and kind and vice versa.
Everyone who is either creative or not brave is either not happy or n... | Alice is not happy. | entailment | (![X]:((~strong(X)<~>~kind(X))=>~rich(X)))&
(![X]:(humble(X)=>brave(X)))&
(((curious(paul)|funny(paul)))=>(?[X]:((~funny(X)&~happy(X)))))&
(![X]:((~creative(X)&calm(X))<=>(~rich(X)&kind(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(~happy(X)<~>~rich(X))))&
(((~tall(john)|~quiet(john)))=>((creative(alice)|tall(alice))))&
(... | ~happy(alice) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2701363664734748397403998
% SZS output start Proof for 2701363664734748397403998
21. ~calm(alice) & ~happy(alice) [input p20]
24. happy(alice) [input hypothesis]
128. ~happy(alice) [cnf transformation 21]
131. happy(alice) [cnf transformation 24]
260. 29 <=> happy(alice) [avatar definitio... | 0 |
If someone is calm or not creative then lucy is rich and vice versa.
If fred is not brave then someone is not generous or curious and vice versa.
Everyone who is both not humble and not calm is happy or brave.
Everyone who is either old or not wise is either generous or not kind and vice versa.
Everyone who is tall or ... | Paul is not funny. | neutral | ((?[X]:((calm(X)|~creative(X))))<=>(rich(lucy)))&
((~brave(fred))<=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:((~humble(X)&~calm(X))=>(happy(X)|brave(X))))&
(![X]:((old(X)<~>~wise(X))<=>(generous(X)<~>~kind(X))))&
(![X]:((tall(X)|~humble(X))<=>(~wise(X)&funny(X))))&
(![X]:((rich(X)|~calm(X))<=>(~patient(X)|~rich(X))))... | ~funny(paul) | [] | null | 0 |
Everyone who is both not patient and happy is not tall and vice versa. If someone is tall or rich then susan is not old or not curious. Everyone who is not calm or not brave is both happy and not wise and vice versa. Everyone who is either happy or not creative is either not calm or not curious and vice versa. If fred ... | John is not rich. | contradiction | (![X]:((~patient(X)&happy(X))<=>~tall(X)))&
((?[X]:((tall(X)|rich(X))))=>((~old(susan)|~curious(susan))))&
(![X]:((~calm(X)|~brave(X))<=>(happy(X)&~wise(X))))&
(![X]:((happy(X)<~>~creative(X))<=>(~calm(X)<~>~curious(X))))&
(((~funny(fred)|~kind(fred)))=>(?[X]:(funny(X))))&
(![X]:((~kind(X)|~quiet(X))<=>(~humble(X)&happ... | ~rich(john) | [
"p2",
"p3",
"p5",
"p7",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7803634495775281146277633
% SZS output start Proof for 7803634495775281146277633
3. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (~wise(X0) & happy(X0))) [input p2]
4. ! [X0] : ((happy(X0) <~> ~creative(X0)) <=> (~calm(X0) <~> ~curious(X0))) [input p3]
6. ! [X0] : ((~quiet(X0) | ~kind(X0)) <=> ... | 0 |
If lucy is not quiet or not kind then someone is either happy or not creative and vice versa.
Everyone who is both not strong and creative is both not rich and not curious.
If susan is either not tall or creative then someone is either old or not rich and vice versa.
If john is generous or not quiet then fred is not fu... | Fred is creative. | contradiction | (((~quiet(lucy)|~kind(lucy)))<=>(?[X]:((happy(X)<~>~creative(X)))))&
(![X]:((~strong(X)&creative(X))=>(~rich(X)&~curious(X))))&
(((~tall(susan)<~>creative(susan)))<=>(?[X]:((old(X)<~>~rich(X)))))&
(((generous(john)|~quiet(john)))<=>(~funny(fred)))&
(((~kind(john)&~creative(john)))=>(kind(john)))&
(((rich(paul)<~>brave(... | creative(fred) | [
"p1",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1391079053993389910417909
% SZS output start Proof for 1391079053993389910417909
2. ! [X0] : ((creative(X0) & ~strong(X0)) => (~curious(X0) & ~rich(X0))) [input p1]
22. rich(fred) & ~strong(fred) [input p21]
25. creative(fred) [input hypothesis]
30. ! [X0] : ((~curious(X0) & ~rich(X0)) | ... | 0 |
If someone is calm or not patient then paul is both not curious and funny.
Everyone who is happy is either not brave or tall and vice versa.
If someone is not humble then someone is quiet or wise and vice versa.
If someone is either not kind or not strong then someone is either funny or old and vice versa.
If someone i... | John is not kind. | entailment | ((?[X]:((calm(X)|~patient(X))))=>((~curious(paul)&funny(paul))))&
(![X]:(happy(X)<=>(~brave(X)<~>tall(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((quiet(X)|wise(X)))))&
((?[X]:((~kind(X)<~>~strong(X))))<=>(?[X]:((funny(X)<~>old(X)))))&
((?[X]:(humble(X)))<=>((~generous(alice)|~strong(alice))))&
(![X]:((wise(X)&~strong(X))=>(~... | ~kind(john) | [
"p1",
"p7",
"p8",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3323021503412810632780099
% SZS output start Proof for 3323021503412810632780099
2. ! [X0] : (happy(X0) <=> (~brave(X0) <~> tall(X0))) [input p1]
8. ! [X0] : (tall(X0) <=> (curious(X0) | strong(X0))) [input p7]
9. ! [X0] : (kind(X0) <=> (happy(X0) <~> ~tall(X0))) [input p8]
19. ~brave(joh... | 0 |
Everyone who is both funny and quiet is not humble. Everyone who is not kind is both old and funny and vice versa. If susan is not tall or tall then someone is funny or kind. If someone is rich or not wise then john is not funny or not humble and vice versa. Everyone who is both calm and not creative is either not funn... | Paul is not calm. | contradiction | (![X]:((funny(X)&quiet(X))=>~humble(X)))&
(![X]:(~kind(X)<=>(old(X)&funny(X))))&
(((~tall(susan)|tall(susan)))=>(?[X]:((funny(X)|kind(X)))))&
((?[X]:((rich(X)|~wise(X))))<=>((~funny(john)|~humble(john))))&
(![X]:((calm(X)&~creative(X))<=>(~funny(X)<~>~strong(X))))&
(((rich(john)<~>~funny(john)))<=>(?[X]:((~old(X)|~humb... | ~calm(paul) | [
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5522152514203907325429210
% SZS output start Proof for 5522152514203907325429210
7. ! [X0] : (~patient(X0) <=> (generous(X0) & calm(X0))) [input p6]
16. ! [X0] : ((~calm(X0) | funny(X0)) => ~patient(X0)) [input p15]
23. ~calm(paul) [input hypothesis]
37. ! [X0] : (~patient(X0) | (calm(X0)... | 0 |
Everyone who is generous is both not generous and wise.
If someone is not patient or not rich then john is not happy or patient.
If someone is both old and not brave then someone is kind or not creative and vice versa.
If someone is both wise and not rich then alice is not tall and vice versa.
If lucy is either wise or... | Mary is patient. | neutral | (![X]:(generous(X)=>(~generous(X)&wise(X))))&
((?[X]:((~patient(X)|~rich(X))))=>((~happy(john)|patient(john))))&
((?[X]:((old(X)&~brave(X))))<=>(?[X]:((kind(X)|~creative(X)))))&
((?[X]:((wise(X)&~rich(X))))<=>(~tall(alice)))&
(((wise(lucy)<~>~brave(lucy)))=>(?[X]:(~quiet(X))))&
((?[X]:((~wise(X)<~>~funny(X))))=>(?[X]:(... | patient(mary) | [] | null | 0 |
Everyone who is both not brave and not strong is not creative.
Everyone who is generous or wise is both creative and calm.
If someone is kind or not strong then john is either kind or not old and vice versa.
If someone is both funny and not funny then someone is patient and vice versa.
Everyone who is generous or quiet... | Mary is not calm. | neutral | (![X]:((~brave(X)&~strong(X))=>~creative(X)))&
(![X]:((generous(X)|wise(X))=>(creative(X)&calm(X))))&
((?[X]:((kind(X)|~strong(X))))<=>((kind(john)<~>~old(john))))&
((?[X]:((funny(X)&~funny(X))))<=>(?[X]:(patient(X))))&
(![X]:((generous(X)|quiet(X))=>(tall(X)|~happy(X))))&
(![X]:(~calm(X)<=>(rich(X)<~>~quiet(X))))&
(![... | ~calm(mary) | [] | null | 0 |
Everyone who is either not old or not patient is not brave or not patient. Everyone who is humble or creative is not curious or patient. Everyone who is both brave and strong is either curious or creative and vice versa. Everyone who is both kind and brave is either not generous or quiet and vice versa. Everyone who is... | Mary is not strong. | entailment | (![X]:((~old(X)<~>~patient(X))=>(~brave(X)|~patient(X))))&
(![X]:((humble(X)|creative(X))=>(~curious(X)|patient(X))))&
(![X]:((brave(X)&strong(X))<=>(curious(X)<~>creative(X))))&
(![X]:((kind(X)&brave(X))<=>(~generous(X)<~>quiet(X))))&
(![X]:(rich(X)<=>(tall(X)|generous(X))))&
((?[X]:((~kind(X)|~tall(X))))=>(?[X]:((gen... | ~strong(mary) | [
"p2",
"p3",
"p9",
"p10",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7891004581440599615188568
% SZS output start Proof for 7891004581440599615188568
3. ! [X0] : ((strong(X0) & brave(X0)) <=> (curious(X0) <~> creative(X0))) [input p2]
4. ! [X0] : ((brave(X0) & kind(X0)) <=> (~generous(X0) <~> quiet(X0))) [input p3]
10. ! [X0] : (creative(X0) <=> ~quiet(X0)... | 0 |
Everyone who is both kind and not humble is either not brave or kind. Everyone who is both not kind and humble is both curious and not humble. Everyone who is not tall or not creative is both not strong and generous and vice versa. Everyone who is either quiet or not quiet is rich or not quiet. Everyone who is both kin... | Susan is not tall. | contradiction | (![X]:((kind(X)&~humble(X))=>(~brave(X)<~>kind(X))))&
(![X]:((~kind(X)&humble(X))=>(curious(X)&~humble(X))))&
(![X]:((~tall(X)|~creative(X))<=>(~strong(X)&generous(X))))&
(![X]:((quiet(X)<~>~quiet(X))=>(rich(X)|~quiet(X))))&
(![X]:((kind(X)&~old(X))=>(~kind(X)&~rich(X))))&
(((quiet(lucy)&wise(lucy)))=>(?[X]:((~funny(X)... | ~tall(susan) | [
"p2",
"p7",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7554721974083588557571684
% SZS output start Proof for 7554721974083588557571684
3. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> (generous(X0) & ~strong(X0))) [input p2]
8. ! [X0] : ((~calm(X0) <~> strong(X0)) <=> (rich(X0) | patient(X0))) [input p7]
12. ! [X0] : ((strong(X0) <~> ~patient(X0... | 0 |
If susan is not brave then lucy is generous or not strong.
If someone is funny or not old then susan is either not creative or not curious and vice versa.
Everyone who is both not brave and creative is not brave and vice versa.
Everyone who is both quiet and happy is not happy and vice versa.
Everyone who is both kind ... | Alice is strong. | contradiction | ((~brave(susan))=>((generous(lucy)|~strong(lucy))))&
((?[X]:((funny(X)|~old(X))))<=>((~creative(susan)<~>~curious(susan))))&
(![X]:((~brave(X)&creative(X))<=>~brave(X)))&
(![X]:((quiet(X)&happy(X))<=>~happy(X)))&
(![X]:((kind(X)&creative(X))<=>(~generous(X)<~>funny(X))))&
((~strong(susan))<=>(?[X]:(~humble(X))))&
(![X]... | strong(alice) | [
"p3",
"p6",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7827952115937877573802803
% SZS output start Proof for 7827952115937877573802803
4. ! [X0] : ((happy(X0) & quiet(X0)) <=> ~happy(X0)) [input p3]
7. ! [X0] : ((~calm(X0) & brave(X0)) <=> (~kind(X0) & ~happy(X0))) [input p6]
12. ! [X0] : ((strong(X0) & happy(X0)) <=> (~old(X0) & ~calm(X0)))... | 0 |
Everyone who is not brave is either tall or humble. Everyone who is either old or not rich is rich or strong. If someone is either rich or not quiet then someone is quiet or creative and vice versa. Everyone who is not rich is both tall and not quiet and vice versa. Everyone who is either not funny or not rich is both ... | Fred is not creative. | entailment | (![X]:(~brave(X)=>(tall(X)<~>humble(X))))&
(![X]:((old(X)<~>~rich(X))=>(rich(X)|strong(X))))&
((?[X]:((rich(X)<~>~quiet(X))))<=>(?[X]:((quiet(X)|creative(X)))))&
(![X]:(~rich(X)<=>(tall(X)&~quiet(X))))&
(![X]:((~funny(X)<~>~rich(X))<=>(~generous(X)&~quiet(X))))&
(![X]:((curious(X)|patient(X))<=>(tall(X)<~>~tall(X))))&
... | ~creative(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5902273006144026405576252
% SZS output start Proof for 5902273006144026405576252
9. ! [X0] : ((happy(X0) <~> ~creative(X0)) <=> ~happy(X0)) [input p8]
24. creative(fred) [input hypothesis]
51. ! [X0] : ((((creative(X0) | ~happy(X0)) & (~creative(X0) | happy(X0))) | happy(X0)) & (~happy(X0... | 0 |
If someone is either not quiet or not creative then someone is either brave or not kind.
Everyone who is not tall or not creative is both wise and not patient.
If someone is not humble or curious then alice is not patient and vice versa.
Everyone who is both rich and not patient is brave or creative.
Everyone who is ei... | Mary is funny. | contradiction | ((?[X]:((~quiet(X)<~>~creative(X))))=>(?[X]:((brave(X)<~>~kind(X)))))&
(![X]:((~tall(X)|~creative(X))=>(wise(X)&~patient(X))))&
((?[X]:((~humble(X)|curious(X))))<=>(~patient(alice)))&
(![X]:((rich(X)&~patient(X))=>(brave(X)|creative(X))))&
(![X]:((strong(X)<~>~funny(X))=>~strong(X)))&
(![X]:((calm(X)&~calm(X))<=>(~funn... | funny(mary) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4084087297849766817200006
% SZS output start Proof for 4084087297849766817200006
5. ! [X0] : ((strong(X0) <~> ~funny(X0)) => ~strong(X0)) [input p4]
13. ! [X0] : ((~humble(X0) & humble(X0)) <=> (~strong(X0) | humble(X0))) [input p12]
22. funny(mary) [input hypothesis]
30. ! [X0] : (~stron... | 0 |
If someone is both not rich and not tall then alice is not creative or funny and vice versa. Everyone who is creative or not strong is both calm and not rich. Everyone who is patient or not rich is strong or not tall. If mary is both quiet and not brave then john is both strong and brave and vice versa. Everyone who is... | Alice is not rich. | neutral | ((?[X]:((~rich(X)&~tall(X))))<=>((~creative(alice)|funny(alice))))&
(![X]:((creative(X)|~strong(X))=>(calm(X)&~rich(X))))&
(![X]:((patient(X)|~rich(X))=>(strong(X)|~tall(X))))&
(((quiet(mary)&~brave(mary)))<=>((strong(john)&brave(john))))&
(![X]:((happy(X)&funny(X))<=>happy(X)))&
(![X]:((~humble(X)&~curious(X))<=>(~str... | ~rich(alice) | [] | null | 0 |
Everyone who is both wise and curious is calm and vice versa.
If susan is happy or not old then alice is both not curious and not quiet.
If someone is both humble and not humble then mary is either not wise or humble and vice versa.
If mary is not quiet or not funny then someone is funny.
If fred is not wise or not gen... | Alice is rich. | neutral | (![X]:((wise(X)&curious(X))<=>calm(X)))&
(((happy(susan)|~old(susan)))=>((~curious(alice)&~quiet(alice))))&
((?[X]:((humble(X)&~humble(X))))<=>((~wise(mary)<~>humble(mary))))&
(((~quiet(mary)|~funny(mary)))=>(?[X]:(funny(X))))&
(((~wise(fred)|~generous(fred)))=>((strong(mary)<~>~brave(mary))))&
((?[X]:((~calm(X)&~stron... | rich(alice) | [] | null | 0 |
If john is patient or generous then someone is both not quiet and kind.
If lucy is humble or not brave then lucy is not calm or not humble and vice versa.
Everyone who is both creative and not old is not brave or curious and vice versa.
If someone is not curious or kind then someone is both quiet and patient and vice v... | Fred is not generous. | neutral | (((patient(john)|generous(john)))=>(?[X]:((~quiet(X)&kind(X)))))&
(((humble(lucy)|~brave(lucy)))<=>((~calm(lucy)|~humble(lucy))))&
(![X]:((creative(X)&~old(X))<=>(~brave(X)|curious(X))))&
((?[X]:((~curious(X)|kind(X))))<=>(?[X]:((quiet(X)&patient(X)))))&
(((~tall(paul)|generous(paul)))<=>((humble(fred)<~>~generous(fred... | ~generous(fred) | [] | null | 0 |
If paul is both curious and not rich then someone is not creative.
Everyone who is both not tall and not generous is not rich and vice versa.
Everyone who is wise is not rich.
If susan is quiet or not curious then lucy is not old or humble.
If someone is rich or creative then someone is not rich or not calm.
If paul is... | Alice is creative. | contradiction | (((curious(paul)&~rich(paul)))=>(?[X]:(~creative(X))))&
(![X]:((~tall(X)&~generous(X))<=>~rich(X)))&
(![X]:(wise(X)=>~rich(X)))&
(((quiet(susan)|~curious(susan)))=>((~old(lucy)|humble(lucy))))&
((?[X]:((rich(X)|creative(X))))=>(?[X]:((~rich(X)|~calm(X)))))&
(((~humble(paul)<~>wise(paul)))=>(kind(mary)))&
(![X]:((~creat... | creative(alice) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7018866680998536594198419
% SZS output start Proof for 7018866680998536594198419
7. ! [X0] : ((~calm(X0) & ~creative(X0)) <=> (kind(X0) | strong(X0))) [input p6]
15. ! [X0] : ((~creative(X0) <~> ~kind(X0)) <=> kind(X0)) [input p14]
25. creative(alice) [input hypothesis]
53. ! [X0] : (((~c... | 0 |
Everyone who is both creative and calm is old. If someone is both not quiet and not calm then fred is not old or calm and vice versa. Everyone who is both not creative and kind is not calm or rich and vice versa. If alice is both old and not calm then someone is quiet or happy and vice versa. Everyone who is kind is bo... | Paul is kind. | contradiction | (![X]:((creative(X)&calm(X))=>old(X)))&
((?[X]:((~quiet(X)&~calm(X))))<=>((~old(fred)|calm(fred))))&
(![X]:((~creative(X)&kind(X))<=>(~calm(X)|rich(X))))&
(((old(alice)&~calm(alice)))<=>(?[X]:((quiet(X)|happy(X)))))&
(![X]:(kind(X)=>(quiet(X)&generous(X))))&
((?[X]:((~kind(X)&~calm(X))))<=>(?[X]:((~curious(X)&~tall(X))... | kind(paul) | [
"p1",
"p2",
"p4",
"p5",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 212731064695894696620266
% SZS output start Proof for 212731064695894696620266
2. ? [X0] : (~calm(X0) & ~quiet(X0)) <=> (calm(fred) | ~old(fred)) [input p1]
3. ! [X0] : ((kind(X0) & ~creative(X0)) <=> (rich(X0) | ~calm(X0))) [input p2]
5. ! [X0] : (kind(X0) => (generous(X0) & quiet(X0))) ... | 0 |
Everyone who is not wise is either not happy or wise.
Everyone who is not rich or not humble is both not kind and rich.
Everyone who is happy or not brave is either quiet or old and vice versa.
Everyone who is wise or not curious is not strong and vice versa.
Everyone who is not patient is patient.
If susan is brave th... | John is not rich. | contradiction | (![X]:(~wise(X)=>(~happy(X)<~>wise(X))))&
(![X]:((~rich(X)|~humble(X))=>(~kind(X)&rich(X))))&
(![X]:((happy(X)|~brave(X))<=>(quiet(X)<~>old(X))))&
(![X]:((wise(X)|~curious(X))<=>~strong(X)))&
(![X]:(~patient(X)=>patient(X)))&
((brave(susan))=>(?[X]:(tall(X))))&
(![X]:((~old(X)|happy(X))<=>(old(X)&~wise(X))))&
((?[X]:((... | ~rich(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 2334733151768855983114011
% SZS output start Proof for 2334733151768855983114011
2. ! [X0] : ((~humble(X0) | ~rich(X0)) => (rich(X0) & ~kind(X0))) [input p1]
21. ~rich(john) [input hypothesis]
25. ! [X0] : (~rich(X0) => (rich(X0) & ~kind(X0))) [pure predicate removal 2]
28. ! [X0] : ((ric... | 0 |
Everyone who is either not old or old is not kind and vice versa. If someone is either not generous or not brave then someone is either not generous or strong and vice versa. Everyone who is creative is either patient or wise. If someone is either strong or not calm then lucy is either not old or not quiet. If someone ... | John is kind. | contradiction | (![X]:((~old(X)<~>old(X))<=>~kind(X)))&
((?[X]:((~generous(X)<~>~brave(X))))<=>(?[X]:((~generous(X)<~>strong(X)))))&
(![X]:(creative(X)=>(patient(X)<~>wise(X))))&
((?[X]:((strong(X)<~>~calm(X))))=>((~old(lucy)<~>~quiet(lucy))))&
((?[X]:(~curious(X)))=>(strong(alice)))&
(![X]:((~rich(X)|brave(X))=>~quiet(X)))&
(![X]:((~... | kind(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 331976927618506146435623
% SZS output start Proof for 331976927618506146435623
1. ! [X0] : ((~old(X0) <~> old(X0)) <=> ~kind(X0)) [input p0]
23. kind(john) [input hypothesis]
27. ! [X0] : ((~old(X0) <~> old(X0)) => ~kind(X0)) [unused predicate definition removal 1]
31. ! [X0] : (~kind(X0)... | 0 |
Everyone who is tall is quiet and vice versa. If someone is not strong or not kind then someone is not wise. Everyone who is both not humble and not strong is both not calm and not strong. If someone is both wise and not humble then mary is humble. If alice is both old and rich then someone is both not funny and quiet.... | Lucy is brave. | neutral | (![X]:(tall(X)<=>quiet(X)))&
((?[X]:((~strong(X)|~kind(X))))=>(?[X]:(~wise(X))))&
(![X]:((~humble(X)&~strong(X))=>(~calm(X)&~strong(X))))&
((?[X]:((wise(X)&~humble(X))))=>(humble(mary)))&
(((old(alice)&rich(alice)))=>(?[X]:((~funny(X)&quiet(X)))))&
((~calm(paul))=>((old(susan)<~>~rich(susan))))&
(![X]:((funny(X)&~patie... | brave(lucy) | [] | null | 0 |
If someone is calm then alice is both creative and tall and vice versa. Everyone who is both not patient and funny is either brave or funny. Everyone who is either tall or not generous is not calm or not happy. Everyone who is either not humble or strong is rich. Everyone who is quiet or not patient is creative. If joh... | Alice is not curious. | neutral | ((?[X]:(calm(X)))<=>((creative(alice)&tall(alice))))&
(![X]:((~patient(X)&funny(X))=>(brave(X)<~>funny(X))))&
(![X]:((tall(X)<~>~generous(X))=>(~calm(X)|~happy(X))))&
(![X]:((~humble(X)<~>strong(X))=>rich(X)))&
(![X]:((quiet(X)|~patient(X))=>creative(X)))&
((~patient(john))<=>(?[X]:((wise(X)&~kind(X)))))&
((~humble(fre... | ~curious(alice) | [] | null | 0 |
Everyone who is quiet is both not quiet and creative and vice versa.
If alice is either brave or not patient then someone is not kind.
Everyone who is both patient and not quiet is either tall or not strong.
If someone is not funny then someone is either not funny or brave.
Everyone who is kind or old is either wise or... | Fred is creative. | contradiction | (![X]:(quiet(X)<=>(~quiet(X)&creative(X))))&
(((brave(alice)<~>~patient(alice)))=>(?[X]:(~kind(X))))&
(![X]:((patient(X)&~quiet(X))=>(tall(X)<~>~strong(X))))&
((?[X]:(~funny(X)))=>(?[X]:((~funny(X)<~>brave(X)))))&
(![X]:((kind(X)|old(X))<=>(wise(X)<~>~old(X))))&
(((patient(paul)<~>~patient(paul)))=>((humble(susan)|~old... | creative(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 466395091248797925316867
% SZS output start Proof for 466395091248797925316867
1. ! [X0] : (quiet(X0) <=> (creative(X0) & ~quiet(X0))) [input p0]
24. creative(fred) [input hypothesis]
37. ! [X0] : ((quiet(X0) | (~creative(X0) | quiet(X0))) & ((creative(X0) & ~quiet(X0)) | ~quiet(X0))) [nn... | 0 |
If susan is not kind then susan is either brave or patient.
Everyone who is either creative or not humble is not creative.
If lucy is curious or not wise then mary is both not kind and wise.
Everyone who is rich or humble is both curious and tall and vice versa.
Everyone who is both kind and patient is both not happy a... | Lucy is humble. | neutral | ((~kind(susan))=>((brave(susan)<~>patient(susan))))&
(![X]:((creative(X)<~>~humble(X))=>~creative(X)))&
(((curious(lucy)|~wise(lucy)))=>((~kind(mary)&wise(mary))))&
(![X]:((rich(X)|humble(X))<=>(curious(X)&tall(X))))&
(![X]:((kind(X)&patient(X))<=>(~happy(X)&funny(X))))&
(![X]:((~brave(X)|old(X))<=>(brave(X)&~strong(X)... | humble(lucy) | [] | null | 0 |
If paul is either not patient or humble then fred is kind or humble and vice versa. If alice is not strong or not curious then lucy is either wise or not rich. If someone is either generous or not generous then lucy is not happy. Everyone who is both funny and wise is strong or not rich and vice versa. Everyone who is ... | Susan is curious. | entailment | (((~patient(paul)<~>humble(paul)))<=>((kind(fred)|humble(fred))))&
(((~strong(alice)|~curious(alice)))=>((wise(lucy)<~>~rich(lucy))))&
((?[X]:((generous(X)<~>~generous(X))))=>(~happy(lucy)))&
(![X]:((funny(X)&wise(X))<=>(strong(X)|~rich(X))))&
(![X]:(brave(X)<=>(creative(X)<~>~rich(X))))&
(![X]:((~rich(X)<~>funny(X))<=... | curious(susan) | [
"p3",
"p5",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6035546599788090244607723
% SZS output start Proof for 6035546599788090244607723
4. ! [X0] : ((wise(X0) & funny(X0)) <=> (~rich(X0) | strong(X0))) [input p3]
6. ! [X0] : ((~rich(X0) <~> funny(X0)) <=> (creative(X0) | ~strong(X0))) [input p5]
10. ! [X0] : ((~generous(X0) & kind(X0)) <=> ~c... | 0 |
Everyone who is either old or rich is either not calm or not generous and vice versa. If someone is not old or not generous then someone is either not curious or tall and vice versa. If someone is not creative then susan is rich and vice versa. Everyone who is either not brave or brave is not kind. Everyone who is brav... | Paul is not old. | contradiction | (![X]:((old(X)<~>rich(X))<=>(~calm(X)<~>~generous(X))))&
((?[X]:((~old(X)|~generous(X))))<=>(?[X]:((~curious(X)<~>tall(X)))))&
((?[X]:(~creative(X)))<=>(rich(susan)))&
(![X]:((~brave(X)<~>brave(X))=>~kind(X)))&
(![X]:((brave(X)|~curious(X))<=>(happy(X)<~>~patient(X))))&
(![X]:((rich(X)<~>~calm(X))=>(~strong(X)|calm(X))... | ~old(paul) | [
"p2",
"p3",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3411423008269683308889487
% SZS output start Proof for 3411423008269683308889487
3. ? [X0] : ~creative(X0) <=> rich(susan) [input p2]
4. ! [X0] : ((~brave(X0) <~> brave(X0)) => ~kind(X0)) [input p3]
10. ! [X0] : (~old(X0) <=> (humble(X0) & ~creative(X0))) [input p9]
15. (~humble(paul) | k... | 0 |
If someone is either rich or happy then lucy is both not happy and not patient.
Everyone who is quiet or curious is funny and vice versa.
If someone is not creative or not happy then someone is not rich.
If mary is creative or humble then someone is both not creative and not old.
If someone is both not creative and gen... | Mary is curious. | neutral | ((?[X]:((rich(X)<~>happy(X))))=>((~happy(lucy)&~patient(lucy))))&
(![X]:((quiet(X)|curious(X))<=>funny(X)))&
((?[X]:((~creative(X)|~happy(X))))=>(?[X]:(~rich(X))))&
(((creative(mary)|humble(mary)))=>(?[X]:((~creative(X)&~old(X)))))&
((?[X]:((~creative(X)&generous(X))))<=>(?[X]:((~funny(X)|brave(X)))))&
(![X]:(~kind(X)=... | curious(mary) | [] | null | 0 |
If someone is both calm and not strong then someone is either old or not strong.
Everyone who is either wise or not humble is both not calm and generous and vice versa.
Everyone who is old is not funny or creative and vice versa.
Everyone who is kind is not old and vice versa.
Everyone who is strong or rich is either s... | Fred is strong. | entailment | ((?[X]:((calm(X)&~strong(X))))=>(?[X]:((old(X)<~>~strong(X)))))&
(![X]:((wise(X)<~>~humble(X))<=>(~calm(X)&generous(X))))&
(![X]:(old(X)<=>(~funny(X)|creative(X))))&
(![X]:(kind(X)<=>~old(X)))&
(![X]:((strong(X)|rich(X))<=>(strong(X)<~>~rich(X))))&
(![X]:(strong(X)=>(creative(X)&~generous(X))))&
(![X]:((tall(X)&creativ... | strong(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 393044343643749032862910
% SZS output start Proof for 393044343643749032862910
5. ! [X0] : ((rich(X0) | strong(X0)) <=> (strong(X0) <~> ~rich(X0))) [input p4]
21. ~strong(fred) [input hypothesis]
44. ! [X0] : (((rich(X0) | strong(X0)) | ((strong(X0) | rich(X0)) & (~rich(X0) | ~strong(X0))... | 0 |
Everyone who is creative is either rich or creative and vice versa.
Everyone who is not wise or strong is both patient and not creative and vice versa.
If someone is either not tall or not old then susan is strong and vice versa.
If someone is strong or patient then mary is both generous and not calm.
If alice is tall ... | John is not curious. | entailment | (![X]:(creative(X)<=>(rich(X)<~>creative(X))))&
(![X]:((~wise(X)|strong(X))<=>(patient(X)&~creative(X))))&
((?[X]:((~tall(X)<~>~old(X))))<=>(strong(susan)))&
((?[X]:((strong(X)|patient(X))))=>((generous(mary)&~calm(mary))))&
(((tall(alice)|creative(alice)))<=>((~kind(fred)|~humble(fred))))&
(![X]:((~creative(X)|quiet(X... | ~curious(john) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6143588358013568514714709
% SZS output start Proof for 6143588358013568514714709
1. ! [X0] : (creative(X0) <=> (rich(X0) <~> creative(X0))) [input p0]
15. ! [X0] : (~rich(X0) <=> (~curious(X0) & ~humble(X0))) [input p14]
22. curious(john) [input hypothesis]
35. ! [X0] : ((creative(X0) | (... | 0 |
Everyone who is not generous or not patient is both not curious and not quiet. If alice is both strong and not humble then someone is not calm or kind and vice versa. Everyone who is patient or tall is either brave or quiet and vice versa. Everyone who is either not happy or calm is not creative and vice versa. If john... | Alice is curious. | contradiction | (![X]:((~generous(X)|~patient(X))=>(~curious(X)&~quiet(X))))&
(((strong(alice)&~humble(alice)))<=>(?[X]:((~calm(X)|kind(X)))))&
(![X]:((patient(X)|tall(X))<=>(brave(X)<~>quiet(X))))&
(![X]:((~happy(X)<~>calm(X))<=>~creative(X)))&
(((generous(john)|brave(john)))=>(?[X]:((~humble(X)<~>happy(X)))))&
(![X]:((quiet(X)&humbl... | curious(alice) | [
"p0",
"p1",
"p6",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6330845787413395612565005
% SZS output start Proof for 6330845787413395612565005
1. ! [X0] : ((~patient(X0) | ~generous(X0)) => (~quiet(X0) & ~curious(X0))) [input p0]
2. (~humble(alice) & strong(alice)) <=> ? [X0] : (kind(X0) | ~calm(X0)) [input p1]
7. ! [X0] : ((~quiet(X0) & ~strong(X0)... | 0 |
Everyone who is both humble and quiet is both not generous and patient and vice versa. If fred is either old or not curious then someone is kind and vice versa. If fred is either funny or not calm then alice is either brave or old. Everyone who is not strong is not generous. If someone is not humble then someone is not... | Fred is not brave. | contradiction | (![X]:((humble(X)&quiet(X))<=>(~generous(X)&patient(X))))&
(((old(fred)<~>~curious(fred)))<=>(?[X]:(kind(X))))&
(((funny(fred)<~>~calm(fred)))=>((brave(alice)<~>old(alice))))&
(![X]:(~strong(X)=>~generous(X)))&
((?[X]:(~humble(X)))=>(?[X]:((~creative(X)|tall(X)))))&
(![X]:((quiet(X)&patient(X))=>~generous(X)))&
(![X]:(... | ~brave(fred) | [
"p3",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5850964722059087587122051
% SZS output start Proof for 5850964722059087587122051
4. ! [X0] : (~strong(X0) => ~generous(X0)) [input p3]
7. ! [X0] : ((~strong(X0) <~> strong(X0)) => (creative(X0) & generous(X0))) [input p6]
11. ! [X0] : ((strong(X0) | generous(X0)) <=> brave(X0)) [input p10... | 0 |
If someone is both not happy and humble then lucy is either not patient or not wise and vice versa. Everyone who is not calm is either old or not humble and vice versa. If john is not quiet or not creative then someone is not old or not patient. Everyone who is not generous or not curious is brave or not old and vice v... | Lucy is not patient. | contradiction | ((?[X]:((~happy(X)&humble(X))))<=>((~patient(lucy)<~>~wise(lucy))))&
(![X]:(~calm(X)<=>(old(X)<~>~humble(X))))&
(((~quiet(john)|~creative(john)))=>(?[X]:((~old(X)|~patient(X)))))&
(![X]:((~generous(X)|~curious(X))<=>(brave(X)|~old(X))))&
(![X]:(~happy(X)<=>generous(X)))&
((?[X]:((~strong(X)|~brave(X))))<=>(?[X]:((curio... | ~patient(lucy) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p8",
"p10",
"p12",
"p14",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7634463242361107966304101
% SZS output start Proof for 7634463242361107966304101
1. ? [X0] : (humble(X0) & ~happy(X0)) <=> (~patient(lucy) <~> ~wise(lucy)) [input p0]
4. ! [X0] : ((~curious(X0) | ~generous(X0)) <=> (~old(X0) | brave(X0))) [input p3]
5. ! [X0] : (~happy(X0) <=> generous(X0... | 0 |
If someone is curious or not strong then susan is not patient or not wise and vice versa.
If alice is not creative or not rich then someone is generous or tall and vice versa.
Everyone who is kind is either happy or wise and vice versa.
Everyone who is quiet or not humble is either not creative or not happy and vice ve... | Paul is not generous. | neutral | ((?[X]:((curious(X)|~strong(X))))<=>((~patient(susan)|~wise(susan))))&
(((~creative(alice)|~rich(alice)))<=>(?[X]:((generous(X)|tall(X)))))&
(![X]:(kind(X)<=>(happy(X)<~>wise(X))))&
(![X]:((quiet(X)|~humble(X))<=>(~creative(X)<~>~happy(X))))&
(![X]:((~strong(X)<~>~happy(X))=>humble(X)))&
(![X]:((patient(X)|~kind(X))<=>... | ~generous(paul) | [] | null | 0 |
If someone is strong then someone is either not funny or patient.
If fred is funny or not patient then someone is funny or strong.
Everyone who is either old or not kind is both generous and not curious.
Everyone who is kind or generous is either not happy or not patient.
Everyone who is both not creative and not humbl... | Mary is not calm. | contradiction | ((?[X]:(strong(X)))=>(?[X]:((~funny(X)<~>patient(X)))))&
(((funny(fred)|~patient(fred)))=>(?[X]:((funny(X)|strong(X)))))&
(![X]:((old(X)<~>~kind(X))=>(generous(X)&~curious(X))))&
(![X]:((kind(X)|generous(X))=>(~happy(X)<~>~patient(X))))&
(![X]:((~creative(X)&~humble(X))=>(generous(X)&old(X))))&
(((~curious(alice)|~calm... | ~calm(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4106560360895883422838997
% SZS output start Proof for 4106560360895883422838997
9. ! [X0] : (~rich(X0) <=> (~calm(X0) <~> ~rich(X0))) [input p8]
24. ~calm(mary) [input hypothesis]
60. ! [X0] : ((~rich(X0) | ((~calm(X0) | rich(X0)) & (~rich(X0) | calm(X0)))) & (((rich(X0) | calm(X0)) & (~... | 0 |
If someone is calm or not quiet then someone is either not funny or curious.
If mary is not strong or tall then someone is not old or not calm and vice versa.
Everyone who is curious or funny is not creative or not funny and vice versa.
If someone is either patient or wise then someone is either creative or not curious... | Paul is funny. | contradiction | ((?[X]:((calm(X)|~quiet(X))))=>(?[X]:((~funny(X)<~>curious(X)))))&
(((~strong(mary)|tall(mary)))<=>(?[X]:((~old(X)|~calm(X)))))&
(![X]:((curious(X)|funny(X))<=>(~creative(X)|~funny(X))))&
((?[X]:((patient(X)<~>wise(X))))<=>(?[X]:((creative(X)<~>~curious(X)))))&
(![X]:((quiet(X)<~>~quiet(X))<=>~funny(X)))&
(![X]:((quiet... | funny(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8195554364025183668596899
% SZS output start Proof for 8195554364025183668596899
5. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) <=> ~funny(X0)) [input p4]
23. funny(paul) [input hypothesis]
56. ! [X0] : ((((quiet(X0) | ~quiet(X0)) & (~quiet(X0) | quiet(X0))) | funny(X0)) & (~funny(X0) | ((quiet(... | 0 |
If paul is either happy or not humble then someone is either kind or not curious. Everyone who is either tall or not patient is strong or tall and vice versa. If mary is both not brave and humble then john is both funny and not old and vice versa. If lucy is both tall and wise then someone is both calm and creative and... | Alice is not calm. | neutral | (((happy(paul)<~>~humble(paul)))=>(?[X]:((kind(X)<~>~curious(X)))))&
(![X]:((tall(X)<~>~patient(X))<=>(strong(X)|tall(X))))&
(((~brave(mary)&humble(mary)))<=>((funny(john)&~old(john))))&
(((tall(lucy)&wise(lucy)))<=>(?[X]:((calm(X)&creative(X)))))&
((?[X]:((kind(X)<~>wise(X))))=>((curious(paul)<~>~creative(paul))))&
((... | ~calm(alice) | [] | null | 0 |
If someone is both not strong and calm then someone is both wise and not old. Everyone who is either kind or tall is either calm or rich. If lucy is not strong then john is both not kind and tall and vice versa. Everyone who is either not generous or strong is either not humble or not wise and vice versa. Everyone who ... | Lucy is not creative. | entailment | ((?[X]:((~strong(X)&calm(X))))=>(?[X]:((wise(X)&~old(X)))))&
(![X]:((kind(X)<~>tall(X))=>(calm(X)<~>rich(X))))&
((~strong(lucy))<=>((~kind(john)&tall(john))))&
(![X]:((~generous(X)<~>strong(X))<=>(~humble(X)<~>~wise(X))))&
(![X]:((~kind(X)|wise(X))<=>(~funny(X)<~>happy(X))))&
(![X]:((~tall(X)&~quiet(X))<=>(~creative(X)... | ~creative(lucy) | [
"p5",
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8303838739584704658751284
% SZS output start Proof for 8303838739584704658751284
6. ! [X0] : ((~quiet(X0) & ~tall(X0)) <=> (~creative(X0) <~> ~kind(X0))) [input p5]
7. ! [X0] : (~quiet(X0) => (~creative(X0) <~> kind(X0))) [input p6]
22. ~kind(lucy) & ~wise(lucy) [input p21]
25. creative(l... | 0 |
If someone is not funny or generous then susan is both rich and not calm. If alice is either tall or creative then john is either kind or not brave and vice versa. Everyone who is both old and patient is creative or humble and vice versa. If susan is both strong and not happy then someone is both not strong and not bra... | Susan is not calm. | entailment | ((?[X]:((~funny(X)|generous(X))))=>((rich(susan)&~calm(susan))))&
(((tall(alice)<~>creative(alice)))<=>((kind(john)<~>~brave(john))))&
(![X]:((old(X)&patient(X))<=>(creative(X)|humble(X))))&
(((strong(susan)&~happy(susan)))=>(?[X]:((~strong(X)&~brave(X)))))&
((?[X]:(old(X)))=>(?[X]:((tall(X)<~>~creative(X)))))&
((?[X]:... | ~calm(susan) | [
"p0",
"p2",
"p5",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6533829182229877345582838
% SZS output start Proof for 6533829182229877345582838
1. ? [X0] : (generous(X0) | ~funny(X0)) => (~calm(susan) & rich(susan)) [input p0]
3. ! [X0] : ((patient(X0) & old(X0)) <=> (humble(X0) | creative(X0))) [input p2]
6. ? [X0] : ~creative(X0) => (generous(paul)... | 0 |
Everyone who is not humble is both not humble and not rich and vice versa. Everyone who is either tall or not humble is both not curious and patient and vice versa. Everyone who is either creative or not rich is curious. If mary is creative or not old then someone is either tall or not old. If someone is both creative ... | Mary is not kind. | contradiction | (![X]:(~humble(X)<=>(~humble(X)&~rich(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(~curious(X)&patient(X))))&
(![X]:((creative(X)<~>~rich(X))=>curious(X)))&
(((creative(mary)|~old(mary)))=>(?[X]:((tall(X)<~>~old(X)))))&
((?[X]:((creative(X)&~calm(X))))<=>(?[X]:((quiet(X)&~quiet(X)))))&
((?[X]:((~curious(X)<~>~old(X))))=>((~... | ~kind(mary) | [
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3529329461616335897886114
% SZS output start Proof for 3529329461616335897886114
13. ! [X0] : (~funny(X0) <=> ~kind(X0)) [input p12]
18. funny(mary) & ~calm(mary) [input p17]
25. ~kind(mary) [input hypothesis]
65. ! [X0] : ((~funny(X0) | kind(X0)) & (~kind(X0) | funny(X0))) [nnf transform... | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If lucy is both brave and humble then someone is patient or wise.
Everyone who is creative is generous or not calm and vice versa.
If susan is both not calm and happy then someone is both rich and not old and vice versa.
If someone is not brave or not p... | Fred is not curious. | contradiction | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((brave(lucy)&humble(lucy)))=>(?[X]:((patient(X)|wise(X)))))&
(![X]:(creative(X)<=>(generous(X)|~calm(X))))&
(((~calm(susan)&happy(susan)))<=>(?[X]:((rich(X)&~old(X)))))&
((?[X]:((~brave(X)|~patient(X))))<=>(old(fred)))&
((~creative(lucy))<=>(~wise(fred)))&
(![X]:((brave(X)|~... | ~curious(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 52664032989985794088570
% SZS output start Proof for 52664032989985794088570
13. ! [X0] : ((generous(X0) | ~curious(X0)) <=> curious(X0)) [input p12]
22. ~curious(fred) [input hypothesis]
53. ! [X0] : (((generous(X0) | ~curious(X0)) | ~curious(X0)) & (curious(X0) | (~generous(X0) & curiou... | 0 |
Everyone who is curious or not brave is both not creative and old. Everyone who is either brave or not strong is both not patient and patient and vice versa. Everyone who is not tall or not wise is both happy and not creative and vice versa. If lucy is patient or not generous then alice is not old or wise. Everyone who... | Mary is not brave. | contradiction | (![X]:((curious(X)|~brave(X))=>(~creative(X)&old(X))))&
(![X]:((brave(X)<~>~strong(X))<=>(~patient(X)&patient(X))))&
(![X]:((~tall(X)|~wise(X))<=>(happy(X)&~creative(X))))&
(((patient(lucy)|~generous(lucy)))=>((~old(alice)|wise(alice))))&
(![X]:((~funny(X)|~creative(X))=>(old(X)<~>~quiet(X))))&
(![X]:((~calm(X)&~genero... | ~brave(mary) | [
"p0",
"p1",
"p2",
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8252991862174025816940413
% SZS output start Proof for 8252991862174025816940413
1. ! [X0] : ((~brave(X0) | curious(X0)) => (old(X0) & ~creative(X0))) [input p0]
2. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> (patient(X0) & ~patient(X0))) [input p1]
3. ! [X0] : ((~wise(X0) | ~tall(X0)) <=> ... | 0 |
If mary is not rich or curious then john is kind or tall and vice versa.
Everyone who is wise or kind is not tall or not kind and vice versa.
If fred is both not wise and not funny then mary is either not funny or not quiet and vice versa.
Everyone who is both rich and wise is either not rich or tall and vice versa.
Ev... | Mary is rich. | neutral | (((~rich(mary)|curious(mary)))<=>((kind(john)|tall(john))))&
(![X]:((wise(X)|kind(X))<=>(~tall(X)|~kind(X))))&
(((~wise(fred)&~funny(fred)))<=>((~funny(mary)<~>~quiet(mary))))&
(![X]:((rich(X)&wise(X))<=>(~rich(X)<~>tall(X))))&
(![X]:((~quiet(X)&~patient(X))=>~old(X)))&
(![X]:(~rich(X)<=>(curious(X)&~kind(X))))&
(![X]:... | rich(mary) | [] | null | 0 |
Everyone who is tall or happy is not quiet.
If john is not tall then someone is not kind or quiet.
If someone is kind then someone is not happy.
Everyone who is either patient or old is both not tall and not old.
If paul is both brave and happy then john is either not kind or not generous and vice versa.
If paul is not... | John is not patient. | entailment | (![X]:((tall(X)|happy(X))=>~quiet(X)))&
((~tall(john))=>(?[X]:((~kind(X)|quiet(X)))))&
((?[X]:(kind(X)))=>(?[X]:(~happy(X))))&
(![X]:((patient(X)<~>old(X))=>(~tall(X)&~old(X))))&
(((brave(paul)&happy(paul)))<=>((~kind(john)<~>~generous(john))))&
(((~creative(paul)|rich(paul)))<=>((wise(john)|curious(john))))&
(![X]:((c... | ~patient(john) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 341559145501077740816742
% SZS output start Proof for 341559145501077740816742
8. ! [X0] : ((~happy(X0) & happy(X0)) <=> ~wise(X0)) [input p7]
13. ! [X0] : ((rich(X0) | ~patient(X0)) <=> (~wise(X0) | ~rich(X0))) [input p12]
24. patient(john) [input hypothesis]
51. ! [X0] : (((~happy(X0) &... | 0 |
Everyone who is generous or not happy is quiet or not strong and vice versa. Everyone who is not tall is wise or not patient. Everyone who is not brave is either wise or old. Everyone who is not funny is both not kind and not humble and vice versa. Everyone who is not rich is either not generous or not old and vice ver... | Mary is funny. | entailment | (![X]:((generous(X)|~happy(X))<=>(quiet(X)|~strong(X))))&
(![X]:(~tall(X)=>(wise(X)|~patient(X))))&
(![X]:(~brave(X)=>(wise(X)<~>old(X))))&
(![X]:(~funny(X)<=>(~kind(X)&~humble(X))))&
(![X]:(~rich(X)<=>(~generous(X)<~>~old(X))))&
((?[X]:((~generous(X)|funny(X))))=>(?[X]:(curious(X))))&
((?[X]:((~kind(X)&brave(X))))=>((... | funny(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8124709879875656640901078
% SZS output start Proof for 8124709879875656640901078
9. ! [X0] : ((funny(X0) & humble(X0)) <=> (calm(X0) | ~funny(X0))) [input p8]
25. ~funny(mary) [input hypothesis]
53. ! [X0] : (((funny(X0) & humble(X0)) | (~calm(X0) & funny(X0))) & ((calm(X0) | ~funny(X0)) ... | 0 |
Everyone who is creative or brave is either curious or not creative and vice versa. If someone is calm then john is not humble and vice versa. If someone is quiet or old then someone is both not tall and calm. Everyone who is not wise is either strong or not quiet and vice versa. Everyone who is both curious and genero... | Paul is old. | entailment | (![X]:((creative(X)|brave(X))<=>(curious(X)<~>~creative(X))))&
((?[X]:(calm(X)))<=>(~humble(john)))&
((?[X]:((quiet(X)|old(X))))=>(?[X]:((~tall(X)&calm(X)))))&
(![X]:(~wise(X)<=>(strong(X)<~>~quiet(X))))&
(![X]:((curious(X)&generous(X))<=>(funny(X)|~strong(X))))&
(![X]:((~tall(X)<~>strong(X))=>(~curious(X)&funny(X))))&... | old(paul) | [
"p8",
"p14",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7791356944652539114339928
% SZS output start Proof for 7791356944652539114339928
9. ! [X0] : ((~wise(X0) | kind(X0)) <=> (~strong(X0) & wise(X0))) [input p8]
15. ! [X0] : ((old(X0) <~> funny(X0)) => (creative(X0) <~> wise(X0))) [input p14]
17. funny(paul) [input p16]
23. creative(paul) [i... | 0 |
If lucy is creative then someone is either not kind or not rich.
If someone is patient then someone is either patient or funny and vice versa.
Everyone who is not funny or not kind is either curious or strong and vice versa.
Everyone who is both quiet and funny is not tall or not rich.
Everyone who is both happy and wi... | John is not strong. | entailment | ((creative(lucy))=>(?[X]:((~kind(X)<~>~rich(X)))))&
((?[X]:(patient(X)))<=>(?[X]:((patient(X)<~>funny(X)))))&
(![X]:((~funny(X)|~kind(X))<=>(curious(X)<~>strong(X))))&
(![X]:((quiet(X)&funny(X))=>(~tall(X)|~rich(X))))&
(![X]:((happy(X)&wise(X))=>(kind(X)&humble(X))))&
(![X]:((happy(X)&creative(X))=>(~rich(X)&tall(X))))... | ~strong(john) | [
"p2",
"p4",
"p8",
"p10",
"p11",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 19993155335769952881596
% SZS output start Proof for 19993155335769952881596
3. ! [X0] : ((~kind(X0) | ~funny(X0)) <=> (curious(X0) <~> strong(X0))) [input p2]
5. ! [X0] : ((wise(X0) & happy(X0)) => (humble(X0) & kind(X0))) [input p4]
9. ! [X0] : ((~creative(X0) & happy(X0)) <=> (calm(X0)... | 0 |
Everyone who is curious or not rich is not kind or strong and vice versa. If susan is either rich or not patient then fred is not strong or calm. Everyone who is both generous and not generous is patient or strong. If susan is generous or not rich then someone is either strong or not wise and vice versa. If someone is ... | Mary is generous. | neutral | (![X]:((curious(X)|~rich(X))<=>(~kind(X)|strong(X))))&
(((rich(susan)<~>~patient(susan)))=>((~strong(fred)|calm(fred))))&
(![X]:((generous(X)&~generous(X))=>(patient(X)|strong(X))))&
(((generous(susan)|~rich(susan)))<=>(?[X]:((strong(X)<~>~wise(X)))))&
((?[X]:((~curious(X)|tall(X))))=>(?[X]:((~wise(X)<~>happy(X)))))&
(... | generous(mary) | [] | null | 0 |
Everyone who is calm is both not rich and not strong.
Everyone who is happy is either tall or not creative and vice versa.
Everyone who is both not tall and kind is both not patient and tall.
If someone is not wise or funny then someone is both quiet and not rich.
Everyone who is both not humble and patient is both pat... | John is not rich. | contradiction | (![X]:(calm(X)=>(~rich(X)&~strong(X))))&
(![X]:(happy(X)<=>(tall(X)<~>~creative(X))))&
(![X]:((~tall(X)&kind(X))=>(~patient(X)&tall(X))))&
((?[X]:((~wise(X)|funny(X))))=>(?[X]:((quiet(X)&~rich(X)))))&
(![X]:((~humble(X)&patient(X))=>(patient(X)&wise(X))))&
(![X]:(~rich(X)<=>(quiet(X)<~>patient(X))))&
(![X]:(~generous(X... | ~rich(john) | [
"p3",
"p5",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5333360048856223692276651
% SZS output start Proof for 5333360048856223692276651
4. ? [X0] : (funny(X0) | ~wise(X0)) => ? [X0] : (~rich(X0) & quiet(X0)) [input p3]
6. ! [X0] : (~rich(X0) <=> (quiet(X0) <~> patient(X0))) [input p5]
8. ! [X0] : ((wise(X0) | ~patient(X0)) => (happy(X0) & ~ol... | 0 |
Everyone who is both generous and wise is not funny or not generous and vice versa. If someone is either rich or humble then john is either not wise or not strong and vice versa. Everyone who is either not creative or strong is generous. If paul is both not patient and not curious then lucy is not happy. If fred is bot... | Paul is not old. | contradiction | (![X]:((generous(X)&wise(X))<=>(~funny(X)|~generous(X))))&
((?[X]:((rich(X)<~>humble(X))))<=>((~wise(john)<~>~strong(john))))&
(![X]:((~creative(X)<~>strong(X))=>generous(X)))&
(((~patient(paul)&~curious(paul)))=>(~happy(lucy)))&
(((kind(fred)&~funny(fred)))<=>(?[X]:(~humble(X))))&
((?[X]:((generous(X)<~>happy(X))))<=>... | ~old(paul) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8997133636073489345750773
% SZS output start Proof for 8997133636073489345750773
1. ! [X0] : ((wise(X0) & generous(X0)) <=> (~generous(X0) | ~funny(X0))) [input p0]
10. ? [X0] : (~brave(X0) | ~old(X0)) <=> ? [X0] : ~generous(X0) [input p9]
22. ~old(paul) [input hypothesis]
24. ? [X0] : (~... | 0 |
Everyone who is not brave is either not strong or rich and vice versa.
If someone is either happy or generous then mary is both brave and not quiet and vice versa.
Everyone who is not strong is not wise and vice versa.
Everyone who is not quiet or not happy is both creative and not funny.
If someone is both quiet and n... | Mary is not kind. | contradiction | (![X]:(~brave(X)<=>(~strong(X)<~>rich(X))))&
((?[X]:((happy(X)<~>generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:((gen... | ~kind(mary) | [
"p2",
"p5",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8813880837914661016691516
% SZS output start Proof for 8813880837914661016691516
3. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p2]
6. ! [X0] : ((tall(X0) & creative(X0)) <=> (~happy(X0) | ~kind(X0))) [input p5]
7. ! [X0] : ((~quiet(X0) | generous(X0)) => (wise(X0) & ~patient(X0))) [input... | 0 |
If someone is strong then fred is both not generous and wise. Everyone who is either kind or brave is either not patient or not quiet and vice versa. Everyone who is either not patient or strong is calm or not calm and vice versa. If alice is both not strong and not generous then someone is both calm and rich and vice ... | Alice is not happy. | neutral | ((?[X]:(strong(X)))=>((~generous(fred)&wise(fred))))&
(![X]:((kind(X)<~>brave(X))<=>(~patient(X)<~>~quiet(X))))&
(![X]:((~patient(X)<~>strong(X))<=>(calm(X)|~calm(X))))&
(((~strong(alice)&~generous(alice)))<=>(?[X]:((calm(X)&rich(X)))))&
(![X]:((~funny(X)&~curious(X))<=>(patient(X)&curious(X))))&
(![X]:(happy(X)=>(crea... | ~happy(alice) | [] | null | 0 |
Everyone who is humble is either not curious or not quiet and vice versa.
Everyone who is not calm is not quiet or tall and vice versa.
Everyone who is humble is both creative and kind and vice versa.
If someone is not happy then susan is either brave or rich and vice versa.
Everyone who is calm or not humble is not ha... | John is not quiet. | contradiction | (![X]:(humble(X)<=>(~curious(X)<~>~quiet(X))))&
(![X]:(~calm(X)<=>(~quiet(X)|tall(X))))&
(![X]:(humble(X)<=>(creative(X)&kind(X))))&
((?[X]:(~happy(X)))<=>((brave(susan)<~>rich(susan))))&
(![X]:((calm(X)|~humble(X))<=>(~happy(X)|~curious(X))))&
(![X]:((~old(X)|~quiet(X))<=>~brave(X)))&
(![X]:(old(X)<=>patient(X)))&
(![... | ~quiet(john) | [
"p1",
"p6",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4208119050670774034520705
% SZS output start Proof for 4208119050670774034520705
2. ! [X0] : (~calm(X0) <=> (tall(X0) | ~quiet(X0))) [input p1]
7. ! [X0] : (old(X0) <=> patient(X0)) [input p6]
12. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (~patient(X0) | ~quiet(X0))) [input p11]
14. ! [X0] ... | 0 |
If someone is creative or not strong then someone is wise. Everyone who is not humble is not strong. Everyone who is either funny or kind is both not brave and tall. Everyone who is patient is either not funny or not tall and vice versa. Everyone who is patient is both not kind and humble and vice versa. Everyone who i... | Alice is patient. | entailment | ((?[X]:((creative(X)|~strong(X))))=>(?[X]:(wise(X))))&
(![X]:(~humble(X)=>~strong(X)))&
(![X]:((funny(X)<~>kind(X))=>(~brave(X)&tall(X))))&
(![X]:(patient(X)<=>(~funny(X)<~>~tall(X))))&
(![X]:(patient(X)<=>(~kind(X)&humble(X))))&
(![X]:((tall(X)|~rich(X))=>strong(X)))&
((?[X]:(~patient(X)))=>(?[X]:((creative(X)<~>~gene... | patient(alice) | [
"p0",
"p1",
"p4",
"p7",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4098060262706366478799423
% SZS output start Proof for 4098060262706366478799423
1. ? [X0] : (~strong(X0) | creative(X0)) => ? [X0] : wise(X0) [input p0]
2. ! [X0] : (~humble(X0) => ~strong(X0)) [input p1]
5. ! [X0] : (patient(X0) <=> (humble(X0) & ~kind(X0))) [input p4]
8. ! [X0] : (~gen... | 0 |
Everyone who is both not happy and old is strong.
If mary is either tall or calm then someone is either strong or happy.
Everyone who is humble is either wise or rich and vice versa.
If someone is calm or creative then alice is not generous or strong and vice versa.
If lucy is funny then alice is both humble and happy ... | Susan is not tall. | entailment | (![X]:((~happy(X)&old(X))=>strong(X)))&
(((tall(mary)<~>calm(mary)))=>(?[X]:((strong(X)<~>happy(X)))))&
(![X]:(humble(X)<=>(wise(X)<~>rich(X))))&
((?[X]:((calm(X)|creative(X))))<=>((~generous(alice)|strong(alice))))&
((funny(lucy))<=>((humble(alice)&happy(alice))))&
(![X]:(~tall(X)<=>calm(X)))&
(((creative(alice)&~gene... | ~tall(susan) | [
"p2",
"p5",
"p10",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8466361812236253379136692
% SZS output start Proof for 8466361812236253379136692
3. ! [X0] : (humble(X0) <=> (wise(X0) <~> rich(X0))) [input p2]
6. ! [X0] : (~tall(X0) <=> calm(X0)) [input p5]
11. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> (curious(X0) & ~humble(X0))) [input p10]
13. ! [X0] :... | 0 |
Everyone who is quiet or not funny is both not patient and not generous.
Everyone who is brave or curious is both not curious and not wise.
Everyone who is not brave is not wise or old.
If someone is either tall or strong then lucy is rich.
If someone is happy or kind then lucy is not wise or not curious.
Everyone who ... | Paul is not tall. | contradiction | (![X]:((quiet(X)|~funny(X))=>(~patient(X)&~generous(X))))&
(![X]:((brave(X)|curious(X))=>(~curious(X)&~wise(X))))&
(![X]:(~brave(X)=>(~wise(X)|old(X))))&
((?[X]:((tall(X)<~>strong(X))))=>(rich(lucy)))&
((?[X]:((happy(X)|kind(X))))=>((~wise(lucy)|~curious(lucy))))&
(![X]:((tall(X)|~patient(X))<=>(patient(X)<~>~wise(X)))... | ~tall(paul) | [
"p0",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7140657526194636911567701
% SZS output start Proof for 7140657526194636911567701
1. ! [X0] : ((~funny(X0) | quiet(X0)) => (~generous(X0) & ~patient(X0))) [input p0]
8. ! [X0] : (kind(X0) <=> (funny(X0) & ~kind(X0))) [input p7]
10. ! [X0] : ((generous(X0) & ~patient(X0)) <=> (~tall(X0) | ~... | 0 |
Everyone who is not humble is calm or not old.
If fred is not creative or not old then someone is strong and vice versa.
Everyone who is creative or not brave is not kind.
Everyone who is both rich and calm is either brave or rich.
If someone is both wise and rich then susan is both not creative and quiet.
Everyone who... | Alice is curious. | contradiction | (![X]:(~humble(X)=>(calm(X)|~old(X))))&
(((~creative(fred)|~old(fred)))<=>(?[X]:(strong(X))))&
(![X]:((creative(X)|~brave(X))=>~kind(X)))&
(![X]:((rich(X)&calm(X))=>(brave(X)<~>rich(X))))&
((?[X]:((wise(X)&rich(X))))=>((~creative(susan)&quiet(susan))))&
(![X]:((~rich(X)|strong(X))<=>happy(X)))&
(![X]:((rich(X)<~>~brave... | curious(alice) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7523952224866685933982580
% SZS output start Proof for 7523952224866685933982580
17. quiet(alice) & ~curious(alice) [input p16]
25. curious(alice) [input hypothesis]
28. ~curious(alice) [pure predicate removal 17]
146. ~curious(alice) [cnf transformation 28]
159. curious(alice) [cnf trans... | 0 |
If someone is not happy then someone is old or humble and vice versa.
Everyone who is either not funny or not tall is either quiet or funny and vice versa.
If john is both not kind and creative then someone is not patient and vice versa.
If paul is not old or rich then paul is either old or not strong and vice versa.
E... | Alice is not wise. | neutral | ((?[X]:(~happy(X)))<=>(?[X]:((old(X)|humble(X)))))&
(![X]:((~funny(X)<~>~tall(X))<=>(quiet(X)<~>funny(X))))&
(((~kind(john)&creative(john)))<=>(?[X]:(~patient(X))))&
(((~old(paul)|rich(paul)))<=>((old(paul)<~>~strong(paul))))&
(![X]:(~quiet(X)=>(~generous(X)|~strong(X))))&
(![X]:((~funny(X)&old(X))=>(~happy(X)<~>rich(X... | ~wise(alice) | [] | null | 0 |
Everyone who is both not calm and generous is not wise.
If someone is tall or not quiet then someone is either calm or humble and vice versa.
If someone is either creative or not calm then someone is not quiet and vice versa.
If someone is rich or not generous then someone is either not happy or not old and vice versa.... | Paul is quiet. | neutral | (![X]:((~calm(X)&generous(X))=>~wise(X)))&
((?[X]:((tall(X)|~quiet(X))))<=>(?[X]:((calm(X)<~>humble(X)))))&
((?[X]:((creative(X)<~>~calm(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:((rich(X)|~generous(X))))<=>(?[X]:((~happy(X)<~>~old(X)))))&
(![X]:((~old(X)|patient(X))<=>(calm(X)|~creative(X))))&
((?[X]:(humble(X)))=>(?[X]:((~... | quiet(paul) | [] | null | 0 |
Everyone who is patient is old or not quiet. If someone is both not calm and not funny then someone is not strong or patient. If someone is not curious then fred is not curious or not generous and vice versa. If someone is creative or generous then susan is either brave or not generous and vice versa. If susan is tall ... | Alice is calm. | contradiction | (![X]:(patient(X)=>(old(X)|~quiet(X))))&
((?[X]:((~calm(X)&~funny(X))))=>(?[X]:((~strong(X)|patient(X)))))&
((?[X]:(~curious(X)))<=>((~curious(fred)|~generous(fred))))&
((?[X]:((creative(X)|generous(X))))<=>((brave(susan)<~>~generous(susan))))&
(((tall(susan)|rich(susan)))=>(?[X]:((creative(X)|kind(X)))))&
(![X]:(funny... | calm(alice) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6853943453481878087626062
% SZS output start Proof for 6853943453481878087626062
8. ! [X0] : ((curious(X0) & funny(X0)) <=> (~brave(X0) | ~quiet(X0))) [input p7]
9. ! [X0] : ((~calm(X0) <~> quiet(X0)) <=> (funny(X0) & ~quiet(X0))) [input p8]
24. calm(alice) [input hypothesis]
55. ! [X0] :... | 0 |
If someone is not old then lucy is both not brave and not quiet.
If mary is strong or not calm then someone is not generous or not patient.
Everyone who is either not old or quiet is both not happy and not rich.
If someone is brave then someone is either happy or not wise and vice versa.
Everyone who is not creative or... | Mary is quiet. | contradiction | ((?[X]:(~old(X)))=>((~brave(lucy)&~quiet(lucy))))&
(((strong(mary)|~calm(mary)))=>(?[X]:((~generous(X)|~patient(X)))))&
(![X]:((~old(X)<~>quiet(X))=>(~happy(X)&~rich(X))))&
((?[X]:(brave(X)))<=>(?[X]:((happy(X)<~>~wise(X)))))&
(![X]:((~creative(X)|creative(X))=>(~quiet(X)&tall(X))))&
((?[X]:((kind(X)<~>patient(X))))=>(... | quiet(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3789601767101702141679388
% SZS output start Proof for 3789601767101702141679388
5. ! [X0] : ((creative(X0) | ~creative(X0)) => (tall(X0) & ~quiet(X0))) [input p4]
23. quiet(mary) [input hypothesis]
34. ! [X0] : ((tall(X0) & ~quiet(X0)) | (~creative(X0) & creative(X0))) [ennf transformati... | 0 |
If someone is humble then lucy is not funny or quiet and vice versa.
If someone is tall or not old then paul is quiet.
Everyone who is either tall or brave is either not strong or not creative and vice versa.
Everyone who is quiet or kind is either not generous or not patient and vice versa.
If mary is not quiet or hap... | Lucy is patient. | contradiction | ((?[X]:(humble(X)))<=>((~funny(lucy)|quiet(lucy))))&
((?[X]:((tall(X)|~old(X))))=>(quiet(paul)))&
(![X]:((tall(X)<~>brave(X))<=>(~strong(X)<~>~creative(X))))&
(![X]:((quiet(X)|kind(X))<=>(~generous(X)<~>~patient(X))))&
(((~quiet(mary)|happy(mary)))=>(?[X]:((brave(X)<~>curious(X)))))&
(![X]:((~funny(X)|~kind(X))<=>(calm... | patient(lucy) | [
"p2",
"p3",
"p6",
"p7",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6940882103327846121674762
% SZS output start Proof for 6940882103327846121674762
3. ! [X0] : ((tall(X0) <~> brave(X0)) <=> (~strong(X0) <~> ~creative(X0))) [input p2]
4. ! [X0] : ((kind(X0) | quiet(X0)) <=> (~generous(X0) <~> ~patient(X0))) [input p3]
7. ! [X0] : ((creative(X0) <~> ~calm(... | 0 |
Everyone who is rich or strong is not tall or not creative.
Everyone who is strong is generous or not creative and vice versa.
Everyone who is either not strong or patient is both humble and brave and vice versa.
If susan is not kind or patient then someone is both not old and funny and vice versa.
Everyone who is both... | Alice is not brave. | entailment | (![X]:((rich(X)|strong(X))=>(~tall(X)|~creative(X))))&
(![X]:(strong(X)<=>(generous(X)|~creative(X))))&
(![X]:((~strong(X)<~>patient(X))<=>(humble(X)&brave(X))))&
(((~kind(susan)|patient(susan)))<=>(?[X]:((~old(X)&funny(X)))))&
(![X]:((humble(X)&creative(X))=>(~quiet(X)<~>~old(X))))&
(![X]:((~patient(X)|~creative(X))=>... | ~brave(alice) | [
"p0",
"p1",
"p2",
"p5",
"p7",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5786043772695689442456875
% SZS output start Proof for 5786043772695689442456875
1. ! [X0] : ((strong(X0) | rich(X0)) => (~creative(X0) | ~tall(X0))) [input p0]
2. ! [X0] : (strong(X0) <=> (~creative(X0) | generous(X0))) [input p1]
3. ! [X0] : ((~strong(X0) <~> patient(X0)) <=> (brave(X0)... | 0 |
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