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 either humble or old is not tall and vice versa.
If someone is curious then someone is either quiet or funny and vice versa.
Everyone who is not patient is both not brave and creative and vice versa.
If john is brave then paul is either humble or creative.
Everyone who is not creative or not rich is bot... | Paul is creative. | entailment | (![X]:((humble(X)<~>old(X))<=>~tall(X)))&
((?[X]:(curious(X)))<=>(?[X]:((quiet(X)<~>funny(X)))))&
(![X]:(~patient(X)<=>(~brave(X)&creative(X))))&
((brave(john))=>((humble(paul)<~>creative(paul))))&
(![X]:((~creative(X)|~rich(X))=>(~rich(X)&~calm(X))))&
(![X]:(~creative(X)=>(tall(X)&~rich(X))))&
(![X]:((~calm(X)|~tall(X... | creative(paul) | [
"p2",
"p8",
"p9",
"p10",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1753052391061956707787884
% SZS output start Proof for 1753052391061956707787884
3. ! [X0] : (~patient(X0) <=> (creative(X0) & ~brave(X0))) [input p2]
9. ? [X0] : (brave(X0) | humble(X0)) => (~patient(paul) | ~generous(paul)) [input p8]
10. ! [X0] : ((~generous(X0) <~> patient(X0)) <=> (~... | 0 |
Everyone who is both wise and not wise is both generous and not calm and vice versa.
If someone is not tall then someone is either calm or not generous and vice versa.
Everyone who is either not creative or rich is brave and vice versa.
Everyone who is both funny and curious is both not rich and funny.
Everyone who is ... | Alice is wise. | entailment | (![X]:((wise(X)&~wise(X))<=>(generous(X)&~calm(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((calm(X)<~>~generous(X)))))&
(![X]:((~creative(X)<~>rich(X))<=>brave(X)))&
(![X]:((funny(X)&curious(X))=>(~rich(X)&funny(X))))&
(![X]:(brave(X)<=>(~patient(X)|brave(X))))&
(((~humble(alice)|wise(alice)))<=>(?[X]:((patient(X)|~old(X)))))&
... | wise(alice) | [
"p2",
"p5",
"p8",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8085357031106825738609736
% SZS output start Proof for 8085357031106825738609736
3. ! [X0] : ((~creative(X0) <~> rich(X0)) <=> brave(X0)) [input p2]
6. (wise(alice) | ~humble(alice)) <=> ? [X0] : (~old(X0) | patient(X0)) [input p5]
9. ? [X0] : (creative(X0) <~> ~brave(X0)) => ? [X0] : cre... | 0 |
Everyone who is both not humble and happy is either tall or happy and vice versa. Everyone who is both kind and not old is calm or not wise and vice versa. If alice is either strong or rich then paul is either not calm or quiet. If someone is either not generous or not patient then someone is not quiet. Everyone who is... | Lucy is not rich. | neutral | (![X]:((~humble(X)&happy(X))<=>(tall(X)<~>happy(X))))&
(![X]:((kind(X)&~old(X))<=>(calm(X)|~wise(X))))&
(((strong(alice)<~>rich(alice)))=>((~calm(paul)<~>quiet(paul))))&
((?[X]:((~generous(X)<~>~patient(X))))=>(?[X]:(~quiet(X))))&
(![X]:((~calm(X)&rich(X))<=>(~creative(X)|quiet(X))))&
((?[X]:(~patient(X)))=>((curious(l... | ~rich(lucy) | [] | null | 0 |
If someone is both not brave and not happy then someone is not old or not quiet.
If someone is both not creative and quiet then lucy is strong.
If someone is curious or old then susan is funny and vice versa.
If lucy is funny or not rich then someone is not funny or not happy and vice versa.
Everyone who is either brav... | John is not creative. | contradiction | ((?[X]:((~brave(X)&~happy(X))))=>(?[X]:((~old(X)|~quiet(X)))))&
((?[X]:((~creative(X)&quiet(X))))=>(strong(lucy)))&
((?[X]:((curious(X)|old(X))))<=>(funny(susan)))&
(((funny(lucy)|~rich(lucy)))<=>(?[X]:((~funny(X)|~happy(X)))))&
(![X]:((brave(X)<~>creative(X))<=>(humble(X)<~>~brave(X))))&
(![X]:((~creative(X)|wise(X))=... | ~creative(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6577363347130202860577060
% SZS output start Proof for 6577363347130202860577060
6. ! [X0] : ((wise(X0) | ~creative(X0)) => (~brave(X0) & brave(X0))) [input p5]
23. ~creative(john) [input hypothesis]
30. ! [X0] : ((~brave(X0) & brave(X0)) | (~wise(X0) & creative(X0))) [ennf transformation... | 0 |
Everyone who is either happy or rich is tall or not wise and vice versa.
Everyone who is not kind is not tall or generous and vice versa.
Everyone who is not strong or not brave is both curious and kind.
Everyone who is tall or patient is either humble or quiet and vice versa.
Everyone who is wise or not curious is eit... | Fred is curious. | contradiction | (![X]:((happy(X)<~>rich(X))<=>(tall(X)|~wise(X))))&
(![X]:(~kind(X)<=>(~tall(X)|generous(X))))&
(![X]:((~strong(X)|~brave(X))=>(curious(X)&kind(X))))&
(![X]:((tall(X)|patient(X))<=>(humble(X)<~>quiet(X))))&
(![X]:((wise(X)|~curious(X))<=>(~wise(X)<~>humble(X))))&
(![X]:(wise(X)=>(~strong(X)&rich(X))))&
((?[X]:(~calm(X)... | curious(fred) | [
"p0",
"p4",
"p5",
"p9",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6049847009572637121669103
% SZS output start Proof for 6049847009572637121669103
1. ! [X0] : ((happy(X0) <~> rich(X0)) <=> (~wise(X0) | tall(X0))) [input p0]
5. ! [X0] : ((~curious(X0) | wise(X0)) <=> (~wise(X0) <~> humble(X0))) [input p4]
6. ! [X0] : (wise(X0) => (rich(X0) & ~strong(X0))... | 0 |
If someone is not wise or curious then lucy is rich.
If someone is strong or not calm then alice is rich or generous and vice versa.
Everyone who is either not rich or happy is not tall or not kind and vice versa.
Everyone who is old or not old is both not kind and not happy.
If paul is both happy and not quiet then ma... | Fred is not curious. | entailment | ((?[X]:((~wise(X)|curious(X))))=>(rich(lucy)))&
((?[X]:((strong(X)|~calm(X))))<=>((rich(alice)|generous(alice))))&
(![X]:((~rich(X)<~>happy(X))<=>(~tall(X)|~kind(X))))&
(![X]:((old(X)|~old(X))=>(~kind(X)&~happy(X))))&
(((happy(paul)&~quiet(paul)))=>((brave(mary)|wise(mary))))&
(![X]:((creative(X)&generous(X))=>curious(... | ~curious(fred) | [
"p0",
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1854193366987436055211616
% SZS output start Proof for 1854193366987436055211616
1. ? [X0] : (curious(X0) | ~wise(X0)) => rich(lucy) [input p0]
3. ! [X0] : ((~rich(X0) <~> happy(X0)) <=> (~kind(X0) | ~tall(X0))) [input p2]
4. ! [X0] : ((~old(X0) | old(X0)) => (~happy(X0) & ~kind(X0))) [in... | 0 |
If someone is not funny then someone is brave or not creative.
If someone is both tall and wise then someone is not quiet.
If someone is patient or tall then someone is both not tall and not strong.
Everyone who is not wise or not patient is either old or humble.
Everyone who is not kind is either humble or not creativ... | Alice is not kind. | neutral | ((?[X]:(~funny(X)))=>(?[X]:((brave(X)|~creative(X)))))&
((?[X]:((tall(X)&wise(X))))=>(?[X]:(~quiet(X))))&
((?[X]:((patient(X)|tall(X))))=>(?[X]:((~tall(X)&~strong(X)))))&
(![X]:((~wise(X)|~patient(X))=>(old(X)<~>humble(X))))&
(![X]:(~kind(X)<=>(humble(X)<~>~creative(X))))&
(![X]:((~old(X)<~>~brave(X))=>(curious(X)|tall... | ~kind(alice) | [] | null | 0 |
If alice is either not brave or not rich then fred is both not brave and not wise.
Everyone who is patient or brave is not brave or not wise and vice versa.
Everyone who is either not kind or not creative is generous or not old.
Everyone who is both funny and not quiet is either generous or not curious.
Everyone who is... | Fred is brave. | neutral | (((~brave(alice)<~>~rich(alice)))=>((~brave(fred)&~wise(fred))))&
(![X]:((patient(X)|brave(X))<=>(~brave(X)|~wise(X))))&
(![X]:((~kind(X)<~>~creative(X))=>(generous(X)|~old(X))))&
(![X]:((funny(X)&~quiet(X))=>(generous(X)<~>~curious(X))))&
(![X]:((~creative(X)|old(X))<=>(kind(X)|strong(X))))&
((creative(paul))<=>(?[X]:... | brave(fred) | [] | null | 0 |
Everyone who is quiet or wise is both calm and quiet.
Everyone who is not happy or not generous is not kind and vice versa.
If fred is patient then someone is not wise or creative and vice versa.
If someone is not brave then mary is both kind and not rich and vice versa.
Everyone who is not quiet is both humble and old... | Susan is happy. | entailment | (![X]:((quiet(X)|wise(X))=>(calm(X)&quiet(X))))&
(![X]:((~happy(X)|~generous(X))<=>~kind(X)))&
((patient(fred))<=>(?[X]:((~wise(X)|creative(X)))))&
((?[X]:(~brave(X)))<=>((kind(mary)&~rich(mary))))&
(![X]:(~quiet(X)<=>(humble(X)&old(X))))&
(![X]:((~humble(X)|~creative(X))=>~creative(X)))&
(![X]:((generous(X)|~calm(X))=... | happy(susan) | [
"p1",
"p3",
"p7",
"p10",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2028974511940598877693212
% SZS output start Proof for 2028974511940598877693212
2. ! [X0] : ((~generous(X0) | ~happy(X0)) <=> ~kind(X0)) [input p1]
4. ? [X0] : ~brave(X0) <=> (~rich(mary) & kind(mary)) [input p3]
8. ! [X0] : ((~brave(X0) & ~strong(X0)) <=> ~old(X0)) [input p7]
11. ! [X0]... | 0 |
Everyone who is quiet is tall or not wise.
If someone is either old or brave then mary is not wise.
If someone is either not tall or kind then alice is either curious or quiet and vice versa.
If mary is humble then someone is either not rich or not kind.
If someone is both not generous and funny then someone is both no... | John is quiet. | contradiction | (![X]:(quiet(X)=>(tall(X)|~wise(X))))&
((?[X]:((old(X)<~>brave(X))))=>(~wise(mary)))&
((?[X]:((~tall(X)<~>kind(X))))<=>((curious(alice)<~>quiet(alice))))&
((humble(mary))=>(?[X]:((~rich(X)<~>~kind(X)))))&
((?[X]:((~generous(X)&funny(X))))<=>(?[X]:((~kind(X)&humble(X)))))&
(![X]:((~calm(X)&funny(X))<=>patient(X)))&
((ha... | quiet(john) | [
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8532812632710577843369333
% SZS output start Proof for 8532812632710577843369333
12. ! [X0] : ((patient(X0) | happy(X0)) => (quiet(X0) <~> happy(X0))) [input p11]
20. happy(john) [input p19]
25. quiet(john) [input hypothesis]
35. ! [X0] : ((quiet(X0) <~> happy(X0)) | (~patient(X0) & ~happ... | 0 |
Everyone who is either curious or not happy is either rich or wise and vice versa.
Everyone who is both tall and not wise is both patient and quiet.
If someone is both not happy and kind then alice is both brave and not humble.
Everyone who is not strong is kind.
Everyone who is funny or generous is both brave and gene... | John is funny. | contradiction | (![X]:((curious(X)<~>~happy(X))<=>(rich(X)<~>wise(X))))&
(![X]:((tall(X)&~wise(X))=>(patient(X)&quiet(X))))&
((?[X]:((~happy(X)&kind(X))))=>((brave(alice)&~humble(alice))))&
(![X]:(~strong(X)=>kind(X)))&
(![X]:((funny(X)|generous(X))<=>(brave(X)&generous(X))))&
(![X]:(brave(X)=>~happy(X)))&
(![X]:(tall(X)=>brave(X)))&
... | funny(john) | [
"p4",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8581211351696986290189432
% SZS output start Proof for 8581211351696986290189432
5. ! [X0] : ((generous(X0) | funny(X0)) <=> (generous(X0) & brave(X0))) [input p4]
6. ! [X0] : (brave(X0) => ~happy(X0)) [input p5]
8. ? [X0] : generous(X0) => old(john) [input p7]
11. ! [X0] : ((patient(X0) ... | 0 |
If someone is not funny or not creative then someone is wise. Everyone who is funny or patient is old and vice versa. Everyone who is rich or not quiet is not happy or generous and vice versa. Everyone who is both not funny and strong is not brave. If someone is both not generous and not patient then john is happy. If ... | John is humble. | neutral | ((?[X]:((~funny(X)|~creative(X))))=>(?[X]:(wise(X))))&
(![X]:((funny(X)|patient(X))<=>old(X)))&
(![X]:((rich(X)|~quiet(X))<=>(~happy(X)|generous(X))))&
(![X]:((~funny(X)&strong(X))=>~brave(X)))&
((?[X]:((~generous(X)&~patient(X))))=>(happy(john)))&
((?[X]:((old(X)<~>~rich(X))))<=>((~old(lucy)&tall(lucy))))&
(![X]:((fun... | humble(john) | [] | null | 0 |
Everyone who is both old and curious is calm or not calm and vice versa.
Everyone who is happy or tall is both not tall and rich.
If fred is both not old and not quiet then alice is either wise or kind.
Everyone who is both not patient and not humble is not creative.
Everyone who is both not humble and brave is either ... | Susan is not generous. | neutral | (![X]:((old(X)&curious(X))<=>(calm(X)|~calm(X))))&
(![X]:((happy(X)|tall(X))=>(~tall(X)&rich(X))))&
(((~old(fred)&~quiet(fred)))=>((wise(alice)<~>kind(alice))))&
(![X]:((~patient(X)&~humble(X))=>~creative(X)))&
(![X]:((~humble(X)&brave(X))<=>(old(X)<~>brave(X))))&
(![X]:(patient(X)=>brave(X)))&
(((~wise(fred)<~>~strong... | ~generous(susan) | [] | null | 0 |
Everyone who is either not strong or not funny is both not calm and not funny.
If someone is both not tall and not calm then someone is both not curious and brave.
Everyone who is both not funny and not tall is patient and vice versa.
Everyone who is not funny is either wise or strong and vice versa.
If paul is not gen... | Susan is happy. | entailment | (![X]:((~strong(X)<~>~funny(X))=>(~calm(X)&~funny(X))))&
((?[X]:((~tall(X)&~calm(X))))=>(?[X]:((~curious(X)&brave(X)))))&
(![X]:((~funny(X)&~tall(X))<=>patient(X)))&
(![X]:(~funny(X)<=>(wise(X)<~>strong(X))))&
((~generous(paul))<=>((~brave(fred)|quiet(fred))))&
(((old(susan)&~kind(susan)))<=>(?[X]:((generous(X)<~>~gene... | happy(susan) | [
"p0",
"p5",
"p9",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 291128991805694274370140
% SZS output start Proof for 291128991805694274370140
1. ! [X0] : ((~strong(X0) <~> ~funny(X0)) => (~funny(X0) & ~calm(X0))) [input p0]
6. (~kind(susan) & old(susan)) <=> ? [X0] : (generous(X0) <~> ~generous(X0)) [input p5]
10. ! [X0] : ((~creative(X0) <~> strong(... | 0 |
If paul is humble then alice is not tall or creative.
Everyone who is either not generous or not strong is both generous and quiet and vice versa.
Everyone who is quiet is not kind and vice versa.
If someone is both not creative and happy then someone is either creative or not quiet.
Everyone who is not creative is bot... | Lucy is not tall. | entailment | ((humble(paul))=>((~tall(alice)|creative(alice))))&
(![X]:((~generous(X)<~>~strong(X))<=>(generous(X)&quiet(X))))&
(![X]:(quiet(X)<=>~kind(X)))&
((?[X]:((~creative(X)&happy(X))))=>(?[X]:((creative(X)<~>~quiet(X)))))&
(![X]:(~creative(X)=>(strong(X)&~happy(X))))&
(![X]:((happy(X)&~brave(X))<=>~funny(X)))&
((?[X]:((~funn... | ~tall(lucy) | [
"p2",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 539404159198339014661349
% SZS output start Proof for 539404159198339014661349
3. ! [X0] : (quiet(X0) <=> ~kind(X0)) [input p2]
12. ? [X0] : kind(X0) <=> (funny(alice) & generous(alice)) [input p11]
13. ! [X0] : ((~wise(X0) | tall(X0)) <=> (patient(X0) & ~kind(X0))) [input p12]
14. ! [X0]... | 0 |
If someone is either not quiet or kind then someone is humble or creative and vice versa.
Everyone who is happy is either not rich or not patient.
Everyone who is both not rich and not tall is not wise.
If someone is both strong and humble then someone is either not humble or rich.
Everyone who is either not curious or... | Susan is funny. | contradiction | ((?[X]:((~quiet(X)<~>kind(X))))<=>(?[X]:((humble(X)|creative(X)))))&
(![X]:(happy(X)=>(~rich(X)<~>~patient(X))))&
(![X]:((~rich(X)&~tall(X))=>~wise(X)))&
((?[X]:((strong(X)&humble(X))))=>(?[X]:((~humble(X)<~>rich(X)))))&
(![X]:((~curious(X)<~>strong(X))=>(~curious(X)|old(X))))&
(![X]:(~curious(X)<=>(~patient(X)|brave(X... | funny(susan) | [
"p5",
"p6",
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4744698182912287963616856
% SZS output start Proof for 4744698182912287963616856
6. ! [X0] : (~curious(X0) <=> (brave(X0) | ~patient(X0))) [input p5]
7. ! [X0] : (~brave(X0) => (~strong(X0) & ~wise(X0))) [input p6]
10. ! [X0] : ((~generous(X0) & tall(X0)) <=> funny(X0)) [input p9]
15. ? [... | 0 |
If someone is either kind or not generous then paul is either not funny or happy and vice versa. If someone is either not creative or not generous then someone is either creative or funny and vice versa. Everyone who is both creative and not funny is not curious or not quiet and vice versa. If someone is either not kin... | Susan is not funny. | contradiction | ((?[X]:((kind(X)<~>~generous(X))))<=>((~funny(paul)<~>happy(paul))))&
((?[X]:((~creative(X)<~>~generous(X))))<=>(?[X]:((creative(X)<~>funny(X)))))&
(![X]:((creative(X)&~funny(X))<=>(~curious(X)|~quiet(X))))&
((?[X]:((~kind(X)<~>~tall(X))))<=>((~funny(john)<~>~quiet(john))))&
(![X]:(~creative(X)=>(~quiet(X)&~humble(X)))... | ~funny(susan) | [
"p1",
"p2",
"p4",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5572789739266791818453794
% SZS output start Proof for 5572789739266791818453794
2. ? [X0] : (~creative(X0) <~> ~generous(X0)) <=> ? [X0] : (creative(X0) <~> funny(X0)) [input p1]
3. ! [X0] : ((~funny(X0) & creative(X0)) <=> (~quiet(X0) | ~curious(X0))) [input p2]
5. ! [X0] : (~creative(X... | 0 |
If lucy is both rich and quiet then john is not generous.
Everyone who is not brave is old.
Everyone who is both happy and wise is both old and generous and vice versa.
If someone is rich then someone is not humble or not happy and vice versa.
If paul is strong then someone is not wise or brave and vice versa.
Everyone... | Susan is creative. | contradiction | (((rich(lucy)&quiet(lucy)))=>(~generous(john)))&
(![X]:(~brave(X)=>old(X)))&
(![X]:((happy(X)&wise(X))<=>(old(X)&generous(X))))&
((?[X]:(rich(X)))<=>(?[X]:((~humble(X)|~happy(X)))))&
((strong(paul))<=>(?[X]:((~wise(X)|brave(X)))))&
(![X]:((~generous(X)&~old(X))<=>quiet(X)))&
((?[X]:((~tall(X)&calm(X))))=>(?[X]:((~brave... | creative(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7795498256010436233943946
% SZS output start Proof for 7795498256010436233943946
17. ~creative(susan) [input p16]
25. creative(susan) [input hypothesis]
120. ~creative(susan) [cnf transformation 17]
131. creative(susan) [cnf transformation 25]
310. $false [subsumption resolution 131,120]
... | 0 |
If paul is both creative and generous then someone is either funny or tall.
If paul is both not calm and not creative then lucy is either old or calm.
Everyone who is brave is not generous and vice versa.
If paul is not calm then someone is either not wise or kind.
If john is either brave or not funny then alice is not... | Susan is old. | neutral | (((creative(paul)&generous(paul)))=>(?[X]:((funny(X)<~>tall(X)))))&
(((~calm(paul)&~creative(paul)))=>((old(lucy)<~>calm(lucy))))&
(![X]:(brave(X)<=>~generous(X)))&
((~calm(paul))=>(?[X]:((~wise(X)<~>kind(X)))))&
(((brave(john)<~>~funny(john)))=>((~old(alice)|~humble(alice))))&
(![X]:((strong(X)<~>~strong(X))<=>(~kind(... | old(susan) | [] | null | 0 |
Everyone who is either wise or brave is both brave and not creative and vice versa.
Everyone who is either old or not strong is either not creative or creative and vice versa.
If fred is not brave or curious then someone is not tall or not patient.
Everyone who is kind or not brave is both not funny and not creative.
E... | John is strong. | entailment | (![X]:((wise(X)<~>brave(X))<=>(brave(X)&~creative(X))))&
(![X]:((old(X)<~>~strong(X))<=>(~creative(X)<~>creative(X))))&
(((~brave(fred)|curious(fred)))=>(?[X]:((~tall(X)|~patient(X)))))&
(![X]:((kind(X)|~brave(X))=>(~funny(X)&~creative(X))))&
(![X]:((happy(X)|curious(X))=>~happy(X)))&
(![X]:((generous(X)|old(X))<=>(~ol... | strong(john) | [
"p0",
"p3",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2110870610839601131841041
% SZS output start Proof for 2110870610839601131841041
1. ! [X0] : ((wise(X0) <~> brave(X0)) <=> (~creative(X0) & brave(X0))) [input p0]
4. ! [X0] : ((~brave(X0) | kind(X0)) => (~creative(X0) & ~funny(X0))) [input p3]
7. ! [X0] : ((wise(X0) <~> funny(X0)) <=> (pa... | 0 |
If someone is not strong then someone is old or not old and vice versa.
If someone is either not generous or not brave then someone is both not old and not funny.
Everyone who is both not quiet and not funny is either creative or not generous and vice versa.
Everyone who is either generous or not quiet is not strong or... | Lucy is funny. | neutral | ((?[X]:(~strong(X)))<=>(?[X]:((old(X)|~old(X)))))&
((?[X]:((~generous(X)<~>~brave(X))))=>(?[X]:((~old(X)&~funny(X)))))&
(![X]:((~quiet(X)&~funny(X))<=>(creative(X)<~>~generous(X))))&
(![X]:((generous(X)<~>~quiet(X))<=>(~strong(X)|calm(X))))&
(![X]:((funny(X)|~quiet(X))<=>~calm(X)))&
((?[X]:((~calm(X)&old(X))))=>(?[X]:(... | funny(lucy) | [] | null | 0 |
Everyone who is not patient is both not quiet and not creative and vice versa.
Everyone who is both not curious and old is either not strong or tall and vice versa.
If someone is not wise or not funny then paul is both funny and not quiet and vice versa.
Everyone who is funny or not creative is not funny or quiet.
Ever... | Fred is patient. | entailment | (![X]:(~patient(X)<=>(~quiet(X)&~creative(X))))&
(![X]:((~curious(X)&old(X))<=>(~strong(X)<~>tall(X))))&
((?[X]:((~wise(X)|~funny(X))))<=>((funny(paul)&~quiet(paul))))&
(![X]:((funny(X)|~creative(X))=>(~funny(X)|quiet(X))))&
(![X]:((~tall(X)&strong(X))=>(~tall(X)<~>~old(X))))&
((?[X]:((rich(X)|~tall(X))))=>((old(susan)... | patient(fred) | [
"p0",
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 908136797932878971839942
% SZS output start Proof for 908136797932878971839942
1. ! [X0] : (~patient(X0) <=> (~creative(X0) & ~quiet(X0))) [input p0]
3. ? [X0] : (~funny(X0) | ~wise(X0)) <=> (~quiet(paul) & funny(paul)) [input p2]
4. ! [X0] : ((~creative(X0) | funny(X0)) => (quiet(X0) | ~... | 0 |
Everyone who is both not patient and not brave is either not humble or calm and vice versa.
Everyone who is rich or creative is humble and vice versa.
If susan is both not brave and patient then mary is not humble or not calm.
If someone is both not quiet and old then someone is not quiet and vice versa.
Everyone who i... | Mary is creative. | neutral | (![X]:((~patient(X)&~brave(X))<=>(~humble(X)<~>calm(X))))&
(![X]:((rich(X)|creative(X))<=>humble(X)))&
(((~brave(susan)&patient(susan)))=>((~humble(mary)|~calm(mary))))&
((?[X]:((~quiet(X)&old(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(brave(X)=>~funny(X)))&
(((happy(lucy)&~tall(lucy)))=>(?[X]:((~humble(X)&~patient(X)))))&
(!... | creative(mary) | [] | null | 0 |
Everyone who is both rich and old is both funny and not kind and vice versa.
If someone is not curious then john is both quiet and not tall and vice versa.
If alice is both wise and not strong then fred is either wise or old.
If paul is both wise and patient then someone is patient.
If alice is both not calm and not pa... | Susan is not tall. | neutral | (![X]:((rich(X)&old(X))<=>(funny(X)&~kind(X))))&
((?[X]:(~curious(X)))<=>((quiet(john)&~tall(john))))&
(((wise(alice)&~strong(alice)))=>((wise(fred)<~>old(fred))))&
(((wise(paul)&patient(paul)))=>(?[X]:(patient(X))))&
(((~calm(alice)&~patient(alice)))=>(?[X]:(humble(X))))&
(![X]:((~humble(X)|rich(X))=>(~quiet(X)&genero... | ~tall(susan) | [] | null | 0 |
If paul is both not happy and not humble then someone is not humble. If fred is funny then paul is humble or not generous. Everyone who is not curious is curious or kind and vice versa. Everyone who is quiet is not old or not kind and vice versa. If mary is either brave or not humble then susan is creative. Everyone wh... | Lucy is not strong. | neutral | (((~happy(paul)&~humble(paul)))=>(?[X]:(~humble(X))))&
((funny(fred))=>((humble(paul)|~generous(paul))))&
(![X]:(~curious(X)<=>(curious(X)|kind(X))))&
(![X]:(quiet(X)<=>(~old(X)|~kind(X))))&
(((brave(mary)<~>~humble(mary)))=>(creative(susan)))&
(![X]:(happy(X)<=>(kind(X)&calm(X))))&
(![X]:(kind(X)<=>(~wise(X)|~old(X)))... | ~strong(lucy) | [] | null | 0 |
If alice is not tall or funny then lucy is not patient or quiet and vice versa.
If paul is not curious or not old then alice is both humble and generous and vice versa.
If someone is not tall or tall then fred is rich or kind and vice versa.
Everyone who is not curious or rich is both not quiet and not creative.
Everyo... | Paul is generous. | neutral | (((~tall(alice)|funny(alice)))<=>((~patient(lucy)|quiet(lucy))))&
(((~curious(paul)|~old(paul)))<=>((humble(alice)&generous(alice))))&
((?[X]:((~tall(X)|tall(X))))<=>((rich(fred)|kind(fred))))&
(![X]:((~curious(X)|rich(X))=>(~quiet(X)&~creative(X))))&
(![X]:((~quiet(X)<~>brave(X))=>(old(X)<~>tall(X))))&
(![X]:((creativ... | generous(paul) | [] | null | 0 |
If someone is old or not kind then someone is both tall and not funny. Everyone who is not curious is strong or not curious. Everyone who is generous is humble. If paul is not generous or strong then john is kind and vice versa. Everyone who is both not quiet and not creative is either not strong or not rich and vice v... | Fred is calm. | contradiction | ((?[X]:((old(X)|~kind(X))))=>(?[X]:((tall(X)&~funny(X)))))&
(![X]:(~curious(X)=>(strong(X)|~curious(X))))&
(![X]:(generous(X)=>humble(X)))&
(((~generous(paul)|strong(paul)))<=>(kind(john)))&
(![X]:((~quiet(X)&~creative(X))<=>(~strong(X)<~>~rich(X))))&
(![X]:((old(X)<~>~generous(X))<=>(funny(X)|~happy(X))))&
((?[X]:((ge... | calm(fred) | [
"p4",
"p9",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 579988253997335287462870
% SZS output start Proof for 579988253997335287462870
5. ! [X0] : ((~creative(X0) & ~quiet(X0)) <=> (~strong(X0) <~> ~rich(X0))) [input p4]
10. ! [X0] : ((calm(X0) & strong(X0)) <=> (~rich(X0) & creative(X0))) [input p9]
12. ! [X0] : (~generous(X0) <=> (brave(X0) ... | 0 |
Everyone who is either humble or rich is not strong.
If john is not old then someone is both not rich and curious and vice versa.
If susan is old then someone is not strong or not patient and vice versa.
If someone is either not patient or not wise then someone is not kind or not wise.
Everyone who is either old or bra... | Lucy is wise. | entailment | (![X]:((humble(X)<~>rich(X))=>~strong(X)))&
((~old(john))<=>(?[X]:((~rich(X)&curious(X)))))&
((old(susan))<=>(?[X]:((~strong(X)|~patient(X)))))&
((?[X]:((~patient(X)<~>~wise(X))))=>(?[X]:((~kind(X)|~wise(X)))))&
(![X]:((old(X)<~>brave(X))<=>(happy(X)&~brave(X))))&
(![X]:((kind(X)<~>calm(X))<=>(~tall(X)&~humble(X))))&
(... | wise(lucy) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3658892034000415783421022
% SZS output start Proof for 3658892034000415783421022
23. wise(lucy) [input p22]
25. ~wise(lucy) [input hypothesis]
146. wise(lucy) [cnf transformation 23]
149. ~wise(lucy) [cnf transformation 25]
326. $false [subsumption resolution 149,146]
% SZS output end Pro... | 0 |
If alice is either happy or creative then someone is strong and vice versa.
If mary is not humble or happy then someone is not curious and vice versa.
If someone is either not kind or creative then john is either brave or wise.
If someone is either calm or not strong then mary is quiet.
Everyone who is both not wise an... | Fred is not old. | contradiction | (((happy(alice)<~>creative(alice)))<=>(?[X]:(strong(X))))&
(((~humble(mary)|happy(mary)))<=>(?[X]:(~curious(X))))&
((?[X]:((~kind(X)<~>creative(X))))=>((brave(john)<~>wise(john))))&
((?[X]:((calm(X)<~>~strong(X))))=>(quiet(mary)))&
(![X]:((~wise(X)&~calm(X))<=>(~old(X)|patient(X))))&
(![X]:((rich(X)&~brave(X))<=>patien... | ~old(fred) | [
"p0",
"p4",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1555062844612763291350408
% SZS output start Proof for 1555062844612763291350408
1. (happy(alice) <~> creative(alice)) <=> ? [X0] : strong(X0) [input p0]
5. ! [X0] : ((~calm(X0) & ~wise(X0)) <=> (patient(X0) | ~old(X0))) [input p4]
12. ! [X0] : ((~rich(X0) | calm(X0)) => (humble(X0) & ~st... | 0 |
Everyone who is not curious or kind is not quiet or creative. Everyone who is not rich or humble is old or curious and vice versa. Everyone who is not wise or not old is both not creative and wise. Everyone who is either not funny or not old is wise or not calm. If lucy is either old or strong then john is generous or ... | Susan is brave. | contradiction | (![X]:((~curious(X)|kind(X))=>(~quiet(X)|creative(X))))&
(![X]:((~rich(X)|humble(X))<=>(old(X)|curious(X))))&
(![X]:((~wise(X)|~old(X))=>(~creative(X)&wise(X))))&
(![X]:((~funny(X)<~>~old(X))=>(wise(X)|~calm(X))))&
(((old(lucy)<~>strong(lucy)))=>((generous(john)|~curious(john))))&
((?[X]:((humble(X)<~>~curious(X))))=>(... | brave(susan) | [
"p2",
"p5",
"p9",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 493268241126872470840532
% SZS output start Proof for 493268241126872470840532
3. ! [X0] : ((~old(X0) | ~wise(X0)) => (wise(X0) & ~creative(X0))) [input p2]
6. ? [X0] : (humble(X0) <~> ~curious(X0)) => ~patient(alice) [input p5]
10. ! [X0] : (~brave(X0) <=> (humble(X0) | generous(X0))) [i... | 0 |
Everyone who is curious is either not generous or patient.
Everyone who is both not old and creative is tall and vice versa.
If mary is not curious or not quiet then susan is either not humble or not calm and vice versa.
If john is both not humble and not strong then someone is both patient and quiet and vice versa.
Ev... | Lucy is not old. | contradiction | (![X]:(curious(X)=>(~generous(X)<~>patient(X))))&
(![X]:((~old(X)&creative(X))<=>tall(X)))&
(((~curious(mary)|~quiet(mary)))<=>((~humble(susan)<~>~calm(susan))))&
(((~humble(john)&~strong(john)))<=>(?[X]:((patient(X)&quiet(X)))))&
(![X]:(humble(X)=>(happy(X)&~funny(X))))&
(![X]:((wise(X)&~tall(X))<=>(calm(X)<~>funny(X)... | ~old(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4167928690826846707206212
% SZS output start Proof for 4167928690826846707206212
11. ? [X0] : (patient(X0) & ~patient(X0)) <=> ? [X0] : (~humble(X0) | ~old(X0)) [input p10]
21. ~old(lucy) [input hypothesis]
22. ? [X0] : (patient(X0) & ~patient(X0)) <=> ? [X1] : (~humble(X1) | ~old(X1)) [r... | 0 |
Everyone who is tall or kind is curious or tall.
Everyone who is kind or not rich is quiet or not funny.
Everyone who is either happy or not calm is either not wise or rich and vice versa.
If someone is strong or curious then someone is creative.
Everyone who is not patient or brave is either not patient or not funny a... | Lucy is patient. | neutral | (![X]:((tall(X)|kind(X))=>(curious(X)|tall(X))))&
(![X]:((kind(X)|~rich(X))=>(quiet(X)|~funny(X))))&
(![X]:((happy(X)<~>~calm(X))<=>(~wise(X)<~>rich(X))))&
((?[X]:((strong(X)|curious(X))))=>(?[X]:(creative(X))))&
(![X]:((~patient(X)|brave(X))<=>(~patient(X)<~>~funny(X))))&
(((old(lucy)<~>wise(lucy)))<=>(?[X]:((~old(X)|... | patient(lucy) | [] | null | 0 |
If alice is not strong then someone is not generous. If john is not rich or not curious then someone is both generous and curious. If someone is both not patient and not creative then mary is not kind or not strong and vice versa. If someone is not brave then alice is either funny or patient and vice versa. Everyone wh... | Lucy is not strong. | contradiction | ((~strong(alice))=>(?[X]:(~generous(X))))&
(((~rich(john)|~curious(john)))=>(?[X]:((generous(X)&curious(X)))))&
((?[X]:((~patient(X)&~creative(X))))<=>((~kind(mary)|~strong(mary))))&
((?[X]:(~brave(X)))<=>((funny(alice)<~>patient(alice))))&
(![X]:((~creative(X)<~>rich(X))=>curious(X)))&
((~rich(john))<=>(?[X]:(~humble(... | ~strong(lucy) | [
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8755507447250344227350317
% SZS output start Proof for 8755507447250344227350317
14. ! [X0] : ((~wise(X0) | creative(X0)) => strong(X0)) [input p13]
17. creative(lucy) & ~wise(lucy) [input p16]
23. ~strong(lucy) [input hypothesis]
33. ! [X0] : (strong(X0) | (wise(X0) & ~creative(X0))) [en... | 0 |
Everyone who is quiet or brave is not wise and vice versa.
Everyone who is not humble is patient or happy.
If someone is either curious or not kind then someone is not creative.
Everyone who is not calm is creative.
Everyone who is both not humble and not kind is funny.
Everyone who is not generous or not brave is eith... | Lucy is kind. | entailment | (![X]:((quiet(X)|brave(X))<=>~wise(X)))&
(![X]:(~humble(X)=>(patient(X)|happy(X))))&
((?[X]:((curious(X)<~>~kind(X))))=>(?[X]:(~creative(X))))&
(![X]:(~calm(X)=>creative(X)))&
(![X]:((~humble(X)&~kind(X))=>funny(X)))&
(![X]:((~generous(X)|~brave(X))=>(~happy(X)<~>~curious(X))))&
(![X]:((curious(X)|generous(X))<=>~brave... | kind(lucy) | [
"p2",
"p3",
"p5",
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5534869698109642160277582
% SZS output start Proof for 5534869698109642160277582
3. ? [X0] : (curious(X0) <~> ~kind(X0)) => ? [X0] : ~creative(X0) [input p2]
4. ! [X0] : (~calm(X0) => creative(X0)) [input p3]
6. ! [X0] : ((~brave(X0) | ~generous(X0)) => (~happy(X0) <~> ~curious(X0))) [inp... | 0 |
Everyone who is either creative or funny is either patient or funny and vice versa. Everyone who is both rich and generous is both not rich and rich. Everyone who is not funny is both calm and not curious. Everyone who is both rich and not curious is happy or creative and vice versa. Everyone who is not creative or cal... | Susan is not generous. | entailment | (![X]:((creative(X)<~>funny(X))<=>(patient(X)<~>funny(X))))&
(![X]:((rich(X)&generous(X))=>(~rich(X)&rich(X))))&
(![X]:(~funny(X)=>(calm(X)&~curious(X))))&
(![X]:((rich(X)&~curious(X))<=>(happy(X)|creative(X))))&
(![X]:((~creative(X)|calm(X))=>(~kind(X)|~patient(X))))&
(![X]:(~funny(X)=>~happy(X)))&
(![X]:((~curious(X)... | ~generous(susan) | [
"p1",
"p3",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6930412212504045871936439
% SZS output start Proof for 6930412212504045871936439
2. ! [X0] : ((generous(X0) & rich(X0)) => (rich(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((~curious(X0) & rich(X0)) <=> (creative(X0) | happy(X0))) [input p3]
23. happy(susan) [input p22]
25. generous(susan) ... | 0 |
Everyone who is either generous or not brave is both not creative and not quiet. Everyone who is either not tall or not funny is both humble and not generous and vice versa. Everyone who is happy is not calm or strong and vice versa. Everyone who is both brave and not curious is patient or not patient. Everyone who is ... | Alice is tall. | contradiction | (![X]:((generous(X)<~>~brave(X))=>(~creative(X)&~quiet(X))))&
(![X]:((~tall(X)<~>~funny(X))<=>(humble(X)&~generous(X))))&
(![X]:(happy(X)<=>(~calm(X)|strong(X))))&
(![X]:((brave(X)&~curious(X))=>(patient(X)|~patient(X))))&
(![X]:(~tall(X)=>(old(X)|generous(X))))&
(![X]:((~funny(X)<~>old(X))<=>(~patient(X)|~tall(X))))&
... | tall(alice) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 736773112384505492154948
% SZS output start Proof for 736773112384505492154948
9. ! [X0] : (~wise(X0) => (~calm(X0) & wise(X0))) [input p8]
12. ! [X0] : ((~humble(X0) | tall(X0)) => (~wise(X0) & ~quiet(X0))) [input p11]
23. tall(alice) [input hypothesis]
32. ! [X0] : ((~calm(X0) & wise(X0... | 0 |
Everyone who is not wise is not wise or rich and vice versa.
If someone is either not quiet or not wise then someone is both old and not calm and vice versa.
If someone is both wise and kind then mary is tall or rich.
If susan is not quiet or not wise then mary is both not wise and not tall.
Everyone who is wise or not... | Susan is rich. | neutral | (![X]:(~wise(X)<=>(~wise(X)|rich(X))))&
((?[X]:((~quiet(X)<~>~wise(X))))<=>(?[X]:((old(X)&~calm(X)))))&
((?[X]:((wise(X)&kind(X))))=>((tall(mary)|rich(mary))))&
(((~quiet(susan)|~wise(susan)))=>((~wise(mary)&~tall(mary))))&
(![X]:((wise(X)|~creative(X))=>(creative(X)<~>~creative(X))))&
(![X]:(creative(X)=>(brave(X)<~>c... | rich(susan) | [] | null | 0 |
Everyone who is brave or calm is wise and vice versa. Everyone who is both rich and funny is both wise and not brave and vice versa. Everyone who is either curious or strong is both humble and old. Everyone who is either not strong or not humble is either happy or old. Everyone who is either kind or not happy is not ta... | Fred is not quiet. | entailment | (![X]:((brave(X)|calm(X))<=>wise(X)))&
(![X]:((rich(X)&funny(X))<=>(wise(X)&~brave(X))))&
(![X]:((curious(X)<~>strong(X))=>(humble(X)&old(X))))&
(![X]:((~strong(X)<~>~humble(X))=>(happy(X)<~>old(X))))&
(![X]:((kind(X)<~>~happy(X))=>~tall(X)))&
(![X]:(quiet(X)<=>(~calm(X)<~>brave(X))))&
(![X]:((~patient(X)&~wise(X))=>(h... | ~quiet(fred) | [
"p0",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3372432272096798720888
% SZS output start Proof for 3372432272096798720888
1. ! [X0] : ((calm(X0) | brave(X0)) <=> wise(X0)) [input p0]
8. ? [X0] : (~old(X0) | quiet(X0)) => ? [X0] : (~wise(X0) & rich(X0)) [input p7]
10. ! [X0] : ((calm(X0) | ~wise(X0)) => (brave(X0) & curious(X0))) [inpu... | 0 |
If someone is either patient or funny then someone is both not funny and not patient. Everyone who is either not tall or not humble is humble or calm. Everyone who is not funny is curious or tall. If someone is quiet then someone is either brave or not happy. Everyone who is not curious is curious or not quiet and vice... | Paul is not strong. | neutral | ((?[X]:((patient(X)<~>funny(X))))=>(?[X]:((~funny(X)&~patient(X)))))&
(![X]:((~tall(X)<~>~humble(X))=>(humble(X)|calm(X))))&
(![X]:(~funny(X)=>(curious(X)|tall(X))))&
((?[X]:(quiet(X)))=>(?[X]:((brave(X)<~>~happy(X)))))&
(![X]:(~curious(X)<=>(curious(X)|~quiet(X))))&
(((~happy(alice)&~curious(alice)))<=>(?[X]:(~quiet(X... | ~strong(paul) | [] | null | 0 |
Everyone who is both calm and not rich is not calm or funny.
Everyone who is both wise and patient is either kind or tall and vice versa.
Everyone who is both kind and old is both funny and not patient.
Everyone who is not rich or not quiet is either rich or creative and vice versa.
If mary is patient then someone is o... | Alice is old. | neutral | (![X]:((calm(X)&~rich(X))=>(~calm(X)|funny(X))))&
(![X]:((wise(X)&patient(X))<=>(kind(X)<~>tall(X))))&
(![X]:((kind(X)&old(X))=>(funny(X)&~patient(X))))&
(![X]:((~rich(X)|~quiet(X))<=>(rich(X)<~>creative(X))))&
((patient(mary))=>(?[X]:(old(X))))&
(![X]:((quiet(X)&~calm(X))=>(brave(X)&~creative(X))))&
((~old(susan))=>((... | old(alice) | [] | null | 0 |
Everyone who is both not generous and not rich is patient or kind. Everyone who is both not wise and patient is not happy or not kind and vice versa. If someone is rich then lucy is not brave or patient. If alice is rich then someone is strong. If someone is either not quiet or not brave then someone is not curious or ... | Fred is rich. | contradiction | (![X]:((~generous(X)&~rich(X))=>(patient(X)|kind(X))))&
(![X]:((~wise(X)&patient(X))<=>(~happy(X)|~kind(X))))&
((?[X]:(rich(X)))=>((~brave(lucy)|patient(lucy))))&
((rich(alice))=>(?[X]:(strong(X))))&
((?[X]:((~quiet(X)<~>~brave(X))))<=>(?[X]:((~curious(X)|curious(X)))))&
((?[X]:((~rich(X)|quiet(X))))=>((curious(paul)|p... | rich(fred) | [
"p6",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 833504000220480066644164
% SZS output start Proof for 833504000220480066644164
7. (~creative(lucy) & ~happy(lucy)) <=> ? [X0] : (humble(X0) | funny(X0)) [input p6]
13. ! [X0] : ((happy(X0) | rich(X0)) <=> (~rich(X0) <~> funny(X0))) [input p12]
21. strong(lucy) & creative(lucy) [input p20]... | 0 |
Everyone who is both not creative and not rich is tall and vice versa.
Everyone who is both wise and brave is either not wise or not kind.
Everyone who is either old or not old is not happy or creative and vice versa.
If someone is tall or funny then susan is kind.
Everyone who is both patient and kind is either strong... | Fred is kind. | entailment | (![X]:((~creative(X)&~rich(X))<=>tall(X)))&
(![X]:((wise(X)&brave(X))=>(~wise(X)<~>~kind(X))))&
(![X]:((old(X)<~>~old(X))<=>(~happy(X)|creative(X))))&
((?[X]:((tall(X)|funny(X))))=>(kind(susan)))&
(![X]:((patient(X)&kind(X))=>(strong(X)<~>wise(X))))&
(![X]:(rich(X)=>(~rich(X)&~brave(X))))&
(![X]:((kind(X)&curious(X))=>... | kind(fred) | [
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 312520835794448363124982
% SZS output start Proof for 312520835794448363124982
9. (~patient(fred) & kind(fred)) <=> ? [X0] : curious(X0) [input p8]
20. curious(lucy) [input p19]
24. ~kind(fred) [input hypothesis]
45. ((~patient(fred) & kind(fred)) | ! [X0] : ~curious(X0)) & (? [X0] : curi... | 0 |
Everyone who is not rich is not wise and vice versa. Everyone who is calm or not quiet is either wise or patient. If alice is not happy then john is not tall. Everyone who is not tall or not happy is not happy or brave. Everyone who is not creative is not kind. If someone is either not wise or not patient then someone ... | Lucy is not tall. | entailment | (![X]:(~rich(X)<=>~wise(X)))&
(![X]:((calm(X)|~quiet(X))=>(wise(X)<~>patient(X))))&
((~happy(alice))=>(~tall(john)))&
(![X]:((~tall(X)|~happy(X))=>(~happy(X)|brave(X))))&
(![X]:(~creative(X)=>~kind(X)))&
((?[X]:((~wise(X)<~>~patient(X))))<=>(?[X]:(patient(X))))&
((rich(susan))=>((old(susan)&generous(susan))))&
(![X]:(b... | ~tall(lucy) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 350961924465279412374344
% SZS output start Proof for 350961924465279412374344
23. ~tall(lucy) & ~happy(lucy) [input p22]
24. tall(lucy) [input hypothesis]
128. ~tall(lucy) [cnf transformation 23]
129. tall(lucy) [cnf transformation 24]
201. 17 <=> tall(lucy) [avatar definition]
296. ~17 ... | 0 |
If someone is either not tall or quiet then fred is patient and vice versa.
If someone is not patient then lucy is funny or not kind.
If someone is not humble then paul is funny and vice versa.
Everyone who is both strong and quiet is both not tall and not rich.
If someone is happy then someone is both not happy and no... | Fred is not curious. | entailment | ((?[X]:((~tall(X)<~>quiet(X))))<=>(patient(fred)))&
((?[X]:(~patient(X)))=>((funny(lucy)|~kind(lucy))))&
((?[X]:(~humble(X)))<=>(funny(paul)))&
(![X]:((strong(X)&quiet(X))=>(~tall(X)&~rich(X))))&
((?[X]:(happy(X)))=>(?[X]:((~happy(X)&~humble(X)))))&
(![X]:(patient(X)<=>(~brave(X)|tall(X))))&
(![X]:((~strong(X)<~>~brave... | ~curious(fred) | [
"p2",
"p4",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8880913634764729305232008
% SZS output start Proof for 8880913634764729305232008
3. ? [X0] : ~humble(X0) <=> funny(paul) [input p2]
5. ? [X0] : happy(X0) => ? [X0] : (~humble(X0) & ~happy(X0)) [input p4]
7. ! [X0] : ((~strong(X0) <~> ~brave(X0)) <=> (~curious(X0) | happy(X0))) [input p6]
... | 0 |
Everyone who is not happy or wise is either not brave or strong and vice versa.
If someone is either not kind or rich then someone is either not quiet or funny.
Everyone who is not happy is calm.
If john is either old or rich then someone is either calm or quiet.
If someone is not quiet or rich then john is creative.
E... | John is not creative. | contradiction | (![X]:((~happy(X)|wise(X))<=>(~brave(X)<~>strong(X))))&
((?[X]:((~kind(X)<~>rich(X))))=>(?[X]:((~quiet(X)<~>funny(X)))))&
(![X]:(~happy(X)=>calm(X)))&
(((old(john)<~>rich(john)))=>(?[X]:((calm(X)<~>quiet(X)))))&
((?[X]:((~quiet(X)|rich(X))))=>(creative(john)))&
(![X]:((brave(X)<~>~happy(X))<=>(~creative(X)|~generous(X)... | ~creative(john) | [
"p4",
"p7",
"p8",
"p11",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 295508413580215320269319
% SZS output start Proof for 295508413580215320269319
5. ? [X0] : (rich(X0) | ~quiet(X0)) => creative(john) [input p4]
8. ? [X0] : (~wise(X0) & funny(X0)) <=> (rich(lucy) <~> ~quiet(lucy)) [input p7]
9. ? [X0] : (~curious(X0) & brave(X0)) <=> ? [X0] : wise(X0) [in... | 0 |
If someone is humble or not funny then paul is either rich or not funny and vice versa.
Everyone who is both not generous and not creative is humble.
Everyone who is not generous or not brave is old or happy and vice versa.
If someone is both quiet and not calm then mary is not calm and vice versa.
If fred is both brav... | Paul is not rich. | entailment | ((?[X]:((humble(X)|~funny(X))))<=>((rich(paul)<~>~funny(paul))))&
(![X]:((~generous(X)&~creative(X))=>humble(X)))&
(![X]:((~generous(X)|~brave(X))<=>(old(X)|happy(X))))&
((?[X]:((quiet(X)&~calm(X))))<=>(~calm(mary)))&
(((brave(fred)&~patient(fred)))=>((~patient(alice)&old(alice))))&
(![X]:((calm(X)|~happy(X))=>patient(... | ~rich(paul) | [
"p6",
"p7",
"p9",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 217015619066858170267977
% SZS output start Proof for 217015619066858170267977
7. ! [X0] : ((~tall(X0) | wise(X0)) <=> (~happy(X0) & wise(X0))) [input p6]
8. ! [X0] : (wise(X0) => (generous(X0) & happy(X0))) [input p7]
10. ! [X0] : ((generous(X0) & ~brave(X0)) <=> ~rich(X0)) [input p9]
13... | 0 |
If someone is rich or not funny then john is patient or not quiet and vice versa.
If someone is creative or not tall then someone is kind.
Everyone who is both strong and funny is strong or brave.
If mary is both not quiet and curious then alice is either not kind or wise.
Everyone who is either not wise or not curious... | Mary is quiet. | neutral | ((?[X]:((rich(X)|~funny(X))))<=>((patient(john)|~quiet(john))))&
((?[X]:((creative(X)|~tall(X))))=>(?[X]:(kind(X))))&
(![X]:((strong(X)&funny(X))=>(strong(X)|brave(X))))&
(((~quiet(mary)&curious(mary)))=>((~kind(alice)<~>wise(alice))))&
(![X]:((~wise(X)<~>~curious(X))=>curious(X)))&
(![X]:(~old(X)=>(patient(X)|humble(X... | quiet(mary) | [] | null | 0 |
Everyone who is either patient or kind is either not calm or brave. If paul is not generous or kind then paul is kind or strong and vice versa. If john is not quiet or not generous then someone is both funny and not curious and vice versa. If someone is generous or not humble then someone is creative or not funny. If s... | Mary is tall. | neutral | (![X]:((patient(X)<~>kind(X))=>(~calm(X)<~>brave(X))))&
(((~generous(paul)|kind(paul)))<=>((kind(paul)|strong(paul))))&
(((~quiet(john)|~generous(john)))<=>(?[X]:((funny(X)&~curious(X)))))&
((?[X]:((generous(X)|~humble(X))))=>(?[X]:((creative(X)|~funny(X)))))&
((?[X]:((~rich(X)<~>~tall(X))))<=>((~strong(mary)|brave(mar... | tall(mary) | [] | null | 0 |
Everyone who is either creative or not calm is not happy and vice versa. Everyone who is both humble and not brave is both not quiet and funny and vice versa. Everyone who is not creative or wise is both calm and funny and vice versa. Everyone who is not happy is both calm and not curious. If someone is not kind or pat... | Alice is happy. | entailment | (![X]:((creative(X)<~>~calm(X))<=>~happy(X)))&
(![X]:((humble(X)&~brave(X))<=>(~quiet(X)&funny(X))))&
(![X]:((~creative(X)|wise(X))<=>(calm(X)&funny(X))))&
(![X]:(~happy(X)=>(calm(X)&~curious(X))))&
((?[X]:((~kind(X)|patient(X))))<=>((~humble(john)|~curious(john))))&
((?[X]:((calm(X)<~>creative(X))))=>(?[X]:(~happy(X))... | happy(alice) | [
"p3",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7949450238903108734230498
% SZS output start Proof for 7949450238903108734230498
4. ! [X0] : (~happy(X0) => (~curious(X0) & calm(X0))) [input p3]
9. ! [X0] : ((calm(X0) <~> happy(X0)) <=> humble(X0)) [input p8]
23. quiet(alice) & ~humble(alice) [input p22]
25. ~happy(alice) [input hypothe... | 0 |
If someone is tall or kind then alice is both not patient and not strong and vice versa. Everyone who is both not quiet and not curious is kind or curious and vice versa. If someone is old then fred is not humble and vice versa. Everyone who is tall is generous and vice versa. If someone is both curious and funny then ... | Alice is tall. | contradiction | ((?[X]:((tall(X)|kind(X))))<=>((~patient(alice)&~strong(alice))))&
(![X]:((~quiet(X)&~curious(X))<=>(kind(X)|curious(X))))&
((?[X]:(old(X)))<=>(~humble(fred)))&
(![X]:(tall(X)<=>generous(X)))&
((?[X]:((curious(X)&funny(X))))<=>(?[X]:((curious(X)<~>~humble(X)))))&
(((~wise(paul)&~kind(paul)))<=>(?[X]:((~rich(X)|~calm(X)... | tall(alice) | [
"p0",
"p1",
"p2",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3587506028724041605774342
% SZS output start Proof for 3587506028724041605774342
1. ? [X0] : (kind(X0) | tall(X0)) <=> (~strong(alice) & ~patient(alice)) [input p0]
2. ! [X0] : ((~curious(X0) & ~quiet(X0)) <=> (curious(X0) | kind(X0))) [input p1]
3. ? [X0] : old(X0) <=> ~humble(fred) [inp... | 0 |
Everyone who is not kind or not patient is both not creative and calm.
If someone is quiet then susan is humble and vice versa.
If someone is both kind and generous then fred is both not generous and not creative and vice versa.
Everyone who is either not happy or brave is curious and vice versa.
If alice is either cur... | Alice is creative. | neutral | (![X]:((~kind(X)|~patient(X))=>(~creative(X)&calm(X))))&
((?[X]:(quiet(X)))<=>(humble(susan)))&
((?[X]:((kind(X)&generous(X))))<=>((~generous(fred)&~creative(fred))))&
(![X]:((~happy(X)<~>brave(X))<=>curious(X)))&
(((curious(alice)<~>rich(alice)))=>((old(mary)&patient(mary))))&
(![X]:((~quiet(X)<~>~humble(X))<=>(~rich(... | creative(alice) | [] | null | 0 |
If lucy is both generous and patient then fred is creative.
If someone is happy then paul is not generous and vice versa.
Everyone who is brave or not strong is both generous and not humble and vice versa.
If john is not calm or happy then someone is either not kind or not generous and vice versa.
Everyone who is not w... | Paul is not curious. | neutral | (((generous(lucy)&patient(lucy)))=>(creative(fred)))&
((?[X]:(happy(X)))<=>(~generous(paul)))&
(![X]:((brave(X)|~strong(X))<=>(generous(X)&~humble(X))))&
(((~calm(john)|happy(john)))<=>(?[X]:((~kind(X)<~>~generous(X)))))&
(![X]:((~wise(X)|~brave(X))<=>~old(X)))&
(![X]:((strong(X)&humble(X))=>(~brave(X)&wise(X))))&
(((~... | ~curious(paul) | [] | null | 0 |
Everyone who is not calm or not generous is either not happy or happy and vice versa.
Everyone who is both generous and creative is either humble or not generous and vice versa.
Everyone who is patient is either not creative or kind.
If someone is not quiet then paul is both quiet and not old.
If someone is not old the... | Susan is not rich. | contradiction | (![X]:((~calm(X)|~generous(X))<=>(~happy(X)<~>happy(X))))&
(![X]:((generous(X)&creative(X))<=>(humble(X)<~>~generous(X))))&
(![X]:(patient(X)=>(~creative(X)<~>kind(X))))&
((?[X]:(~quiet(X)))=>((quiet(paul)&~old(paul))))&
((?[X]:(~old(X)))=>(?[X]:((tall(X)|happy(X)))))&
(![X]:((rich(X)&~curious(X))<=>(~kind(X)<~>~rich(X... | ~rich(susan) | [
"p0",
"p1",
"p2",
"p5",
"p10",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3886110357350803503828694
% SZS output start Proof for 3886110357350803503828694
1. ! [X0] : ((~generous(X0) | ~calm(X0)) <=> (~happy(X0) <~> happy(X0))) [input p0]
2. ! [X0] : ((creative(X0) & generous(X0)) <=> (humble(X0) <~> ~generous(X0))) [input p1]
3. ! [X0] : (patient(X0) => (~crea... | 0 |
Everyone who is either brave or not humble is either not calm or patient and vice versa. Everyone who is either not kind or patient is creative or not rich. If fred is both patient and kind then susan is wise or calm and vice versa. Everyone who is both not patient and tall is not funny and vice versa. If john is eithe... | Fred is not brave. | contradiction | (![X]:((brave(X)<~>~humble(X))<=>(~calm(X)<~>patient(X))))&
(![X]:((~kind(X)<~>patient(X))=>(creative(X)|~rich(X))))&
(((patient(fred)&kind(fred)))<=>((wise(susan)|calm(susan))))&
(![X]:((~patient(X)&tall(X))<=>~funny(X)))&
(((creative(john)<~>~humble(john)))<=>(?[X]:((generous(X)&~humble(X)))))&
(![X]:((old(X)|~strong... | ~brave(fred) | [
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3267503481897757626226098
% SZS output start Proof for 3267503481897757626226098
13. ! [X0] : ((~brave(X0) & ~humble(X0)) <=> (funny(X0) | humble(X0))) [input p12]
18. ~happy(fred) & ~funny(fred) [input p17]
25. ~brave(fred) [input hypothesis]
61. ! [X0] : (((~brave(X0) & ~humble(X0)) | (... | 0 |
If someone is not generous then alice is both not curious and calm.
If someone is either not generous or happy then someone is both not strong and not funny and vice versa.
If john is either not old or generous then fred is not curious.
Everyone who is either not tall or not kind is not brave and vice versa.
If someone... | Paul is calm. | contradiction | ((?[X]:(~generous(X)))=>((~curious(alice)&calm(alice))))&
((?[X]:((~generous(X)<~>happy(X))))<=>(?[X]:((~strong(X)&~funny(X)))))&
(((~old(john)<~>generous(john)))=>(~curious(fred)))&
(![X]:((~tall(X)<~>~kind(X))<=>~brave(X)))&
((?[X]:(happy(X)))<=>(?[X]:((kind(X)|rich(X)))))&
(![X]:((brave(X)&curious(X))<=>(brave(X)&~o... | calm(paul) | [
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6555026108376113671908460
% SZS output start Proof for 6555026108376113671908460
7. ! [X0] : ((brave(X0) | ~brave(X0)) => (strong(X0) & ~old(X0))) [input p6]
8. ! [X0] : (strong(X0) <=> (~brave(X0) & ~creative(X0))) [input p7]
13. ! [X0] : (creative(X0) <=> (calm(X0) | ~curious(X0))) [inp... | 0 |
Everyone who is not patient is both strong and wise and vice versa. Everyone who is quiet is both strong and not humble and vice versa. Everyone who is not tall or rich is tall or not brave and vice versa. Everyone who is patient is both not curious and not rich and vice versa. Everyone who is either not curious or cur... | Fred is patient. | contradiction | (![X]:(~patient(X)<=>(strong(X)&wise(X))))&
(![X]:(quiet(X)<=>(strong(X)&~humble(X))))&
(![X]:((~tall(X)|rich(X))<=>(tall(X)|~brave(X))))&
(![X]:(patient(X)<=>(~curious(X)&~rich(X))))&
(![X]:((~curious(X)<~>curious(X))<=>(old(X)<~>~rich(X))))&
((?[X]:((calm(X)|~brave(X))))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:(old(X... | patient(fred) | [
"p0",
"p2",
"p3",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 541615711796299705210609
% SZS output start Proof for 541615711796299705210609
1. ! [X0] : (~patient(X0) <=> (wise(X0) & strong(X0))) [input p0]
3. ! [X0] : ((rich(X0) | ~tall(X0)) <=> (~brave(X0) | tall(X0))) [input p2]
4. ! [X0] : (patient(X0) <=> (~rich(X0) & ~curious(X0))) [input p3]
... | 0 |
If someone is either quiet or brave then someone is both curious and wise and vice versa.
Everyone who is not creative or humble is both strong and not tall and vice versa.
Everyone who is either not strong or brave is curious or generous and vice versa.
If susan is patient or quiet then john is either not humble or no... | John is not quiet. | entailment | ((?[X]:((quiet(X)<~>brave(X))))<=>(?[X]:((curious(X)&wise(X)))))&
(![X]:((~creative(X)|humble(X))<=>(strong(X)&~tall(X))))&
(![X]:((~strong(X)<~>brave(X))<=>(curious(X)|generous(X))))&
(((patient(susan)|quiet(susan)))=>((~humble(john)<~>~happy(john))))&
(![X]:((~creative(X)|quiet(X))=>(curious(X)&~creative(X))))&
(![X]... | ~quiet(john) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 385280363410342261652160
% SZS output start Proof for 385280363410342261652160
2. ! [X0] : ((humble(X0) | ~creative(X0)) <=> (~tall(X0) & strong(X0))) [input p1]
3. ! [X0] : ((~strong(X0) <~> brave(X0)) <=> (generous(X0) | curious(X0))) [input p2]
4. (quiet(susan) | patient(susan)) => (~h... | 0 |
If paul is calm then alice is both rich and not strong and vice versa.
If john is kind or quiet then susan is both happy and not kind.
If mary is either not curious or not rich then someone is humble and vice versa.
Everyone who is either curious or kind is either humble or not quiet and vice versa.
If someone is not g... | Fred is not quiet. | contradiction | ((calm(paul))<=>((rich(alice)&~strong(alice))))&
(((kind(john)|quiet(john)))=>((happy(susan)&~kind(susan))))&
(((~curious(mary)<~>~rich(mary)))<=>(?[X]:(humble(X))))&
(![X]:((curious(X)<~>kind(X))<=>(humble(X)<~>~quiet(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~tall(X)|strong(X)))))&
(![X]:(~patient(X)=>(kind(X)|tall(X))... | ~quiet(fred) | [
"p3",
"p6",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6425845149492408665901447
% SZS output start Proof for 6425845149492408665901447
4. ! [X0] : ((curious(X0) <~> kind(X0)) <=> (humble(X0) <~> ~quiet(X0))) [input p3]
7. ! [X0] : (strong(X0) <=> ~curious(X0)) [input p6]
14. ! [X0] : ((wise(X0) & ~quiet(X0)) <=> (~quiet(X0) | ~kind(X0))) [in... | 0 |
If someone is not calm or tall then someone is both not curious and old and vice versa. Everyone who is either tall or brave is both not creative and not curious and vice versa. Everyone who is both not curious and patient is patient or not humble. Everyone who is both not generous and old is generous or brave and vice... | Fred is old. | contradiction | ((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~curious(X)&old(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(~creative(X)&~curious(X))))&
(![X]:((~curious(X)&patient(X))=>(patient(X)|~humble(X))))&
(![X]:((~generous(X)&old(X))<=>(generous(X)|brave(X))))&
(![X]:(~tall(X)<=>funny(X)))&
(![X]:((~patient(X)&tall(X))<=>~creative(X)))&
(((... | old(fred) | [
"p0",
"p1",
"p3",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7556472401831230535226974
% SZS output start Proof for 7556472401831230535226974
1. ? [X0] : (tall(X0) | ~calm(X0)) <=> ? [X0] : (old(X0) & ~curious(X0)) [input p0]
2. ! [X0] : ((tall(X0) <~> brave(X0)) <=> (~curious(X0) & ~creative(X0))) [input p1]
4. ! [X0] : ((old(X0) & ~generous(X0)) ... | 0 |
If mary is brave then alice is both quiet and patient and vice versa.
If someone is either not quiet or not rich then someone is either tall or not tall.
Everyone who is not calm is happy or not patient.
Everyone who is calm is not kind or not curious.
Everyone who is rich or not strong is not brave or not kind and vic... | Mary is not rich. | entailment | ((brave(mary))<=>((quiet(alice)&patient(alice))))&
((?[X]:((~quiet(X)<~>~rich(X))))=>(?[X]:((tall(X)<~>~tall(X)))))&
(![X]:(~calm(X)=>(happy(X)|~patient(X))))&
(![X]:(calm(X)=>(~kind(X)|~curious(X))))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(cre... | ~rich(mary) | [
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8808297147553180963913168
% SZS output start Proof for 8808297147553180963913168
7. ! [X0] : (creative(X0) <=> rich(X0)) [input p6]
22. ~creative(mary) & ~curious(mary) [input p21]
25. rich(mary) [input hypothesis]
48. ! [X0] : ((creative(X0) | ~rich(X0)) & (rich(X0) | ~creative(X0))) [nn... | 0 |
If someone is not brave then someone is not happy and vice versa. Everyone who is not creative or not calm is either quiet or not strong and vice versa. If mary is not funny or not kind then paul is either wise or strong. Everyone who is both funny and not kind is not calm or not old. If someone is wise or curious then... | John is funny. | neutral | ((?[X]:(~brave(X)))<=>(?[X]:(~happy(X))))&
(![X]:((~creative(X)|~calm(X))<=>(quiet(X)<~>~strong(X))))&
(((~funny(mary)|~kind(mary)))=>((wise(paul)<~>strong(paul))))&
(![X]:((funny(X)&~kind(X))=>(~calm(X)|~old(X))))&
((?[X]:((wise(X)|curious(X))))<=>(?[X]:((brave(X)&~old(X)))))&
(![X]:((strong(X)|~funny(X))<=>(~humble(X... | funny(john) | [] | null | 0 |
Everyone who is either old or not curious is either curious or brave and vice versa.
If paul is both not patient and not calm then fred is either not wise or rich.
If alice is either not rich or rich then fred is both not curious and not strong and vice versa.
Everyone who is either not happy or funny is strong and vic... | Alice is wise. | neutral | (![X]:((old(X)<~>~curious(X))<=>(curious(X)<~>brave(X))))&
(((~patient(paul)&~calm(paul)))=>((~wise(fred)<~>rich(fred))))&
(((~rich(alice)<~>rich(alice)))<=>((~curious(fred)&~strong(fred))))&
(![X]:((~happy(X)<~>funny(X))<=>strong(X)))&
(![X]:((~tall(X)&~old(X))=>(patient(X)|~patient(X))))&
(![X]:((~brave(X)<~>patient(... | wise(alice) | [] | null | 0 |
Everyone who is patient is either not rich or not old. Everyone who is not curious or not creative is not tall or not wise and vice versa. If paul is not wise then someone is both not funny and not rich and vice versa. Everyone who is not quiet is strong and vice versa. Everyone who is calm or wise is generous or not r... | Paul is kind. | neutral | (![X]:(patient(X)=>(~rich(X)<~>~old(X))))&
(![X]:((~curious(X)|~creative(X))<=>(~tall(X)|~wise(X))))&
((~wise(paul))<=>(?[X]:((~funny(X)&~rich(X)))))&
(![X]:(~quiet(X)<=>strong(X)))&
(![X]:((calm(X)|wise(X))<=>(generous(X)|~rich(X))))&
(![X]:(~wise(X)=>(patient(X)<~>strong(X))))&
(((~rich(alice)|~brave(alice)))<=>((kin... | kind(paul) | [] | null | 0 |
Everyone who is either wise or strong is calm or curious and vice versa. If someone is strong then paul is quiet. Everyone who is both not creative and not happy is not old and vice versa. If someone is rich or old then susan is patient. Everyone who is both not old and curious is funny. Everyone who is funny is either... | Paul is not generous. | contradiction | (![X]:((wise(X)<~>strong(X))<=>(calm(X)|curious(X))))&
((?[X]:(strong(X)))=>(quiet(paul)))&
(![X]:((~creative(X)&~happy(X))<=>~old(X)))&
((?[X]:((rich(X)|old(X))))=>(patient(susan)))&
(![X]:((~old(X)&curious(X))=>funny(X)))&
(![X]:(funny(X)<=>(~funny(X)<~>funny(X))))&
((wise(susan))<=>(?[X]:((~rich(X)|creative(X)))))&
... | ~generous(paul) | [
"p1",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5520101857960155554322059
% SZS output start Proof for 5520101857960155554322059
2. ? [X0] : strong(X0) => quiet(paul) [input p1]
6. ! [X0] : (funny(X0) <=> (~funny(X0) <~> funny(X0))) [input p5]
9. ! [X0] : ((~old(X0) <~> old(X0)) <=> (strong(X0) <~> generous(X0))) [input p8]
14. ! [X0] ... | 0 |
If someone is humble or rich then someone is both old and not generous.
If fred is not wise then mary is tall or humble and vice versa.
If someone is both tall and generous then susan is not rich or not funny and vice versa.
Everyone who is either not happy or patient is both creative and humble and vice versa.
If some... | Susan is not curious. | contradiction | ((?[X]:((humble(X)|rich(X))))=>(?[X]:((old(X)&~generous(X)))))&
((~wise(fred))<=>((tall(mary)|humble(mary))))&
((?[X]:((tall(X)&generous(X))))<=>((~rich(susan)|~funny(susan))))&
(![X]:((~happy(X)<~>patient(X))<=>(creative(X)&humble(X))))&
((?[X]:((~strong(X)&~brave(X))))<=>(?[X]:((tall(X)<~>~quiet(X)))))&
((?[X]:(~stro... | ~curious(susan) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8980271365166988846437781
% SZS output start Proof for 8980271365166988846437781
8. ! [X0] : ((generous(X0) <~> ~generous(X0)) <=> (~quiet(X0) & ~happy(X0))) [input p7]
9. ! [X0] : ((curious(X0) <~> ~quiet(X0)) => happy(X0)) [input p8]
22. ~curious(susan) [input hypothesis]
28. ! [X0] : (... | 0 |
If someone is patient or old then someone is not rich or not creative. If someone is either not creative or brave then lucy is both quiet and not tall. If someone is both not brave and not wise then someone is both not wise and not tall and vice versa. If mary is both not rich and patient then someone is not humble. Ev... | Susan is not wise. | neutral | ((?[X]:((patient(X)|old(X))))=>(?[X]:((~rich(X)|~creative(X)))))&
((?[X]:((~creative(X)<~>brave(X))))=>((quiet(lucy)&~tall(lucy))))&
((?[X]:((~brave(X)&~wise(X))))<=>(?[X]:((~wise(X)&~tall(X)))))&
(((~rich(mary)&patient(mary)))=>(?[X]:(~humble(X))))&
(![X]:((creative(X)|old(X))=>(brave(X)<~>tall(X))))&
(![X]:((generous... | ~wise(susan) | [] | null | 0 |
If fred is not creative then john is humble.
If john is not rich or old then susan is not happy or tall and vice versa.
Everyone who is either not happy or not kind is both not wise and not old and vice versa.
Everyone who is both not funny and kind is either not old or kind and vice versa.
If alice is not happy then s... | Lucy is old. | neutral | ((~creative(fred))=>(humble(john)))&
(((~rich(john)|old(john)))<=>((~happy(susan)|tall(susan))))&
(![X]:((~happy(X)<~>~kind(X))<=>(~wise(X)&~old(X))))&
(![X]:((~funny(X)&kind(X))<=>(~old(X)<~>kind(X))))&
((~happy(alice))<=>(?[X]:((humble(X)|~creative(X)))))&
(![X]:(generous(X)<=>brave(X)))&
((?[X]:((quiet(X)|~tall(X)))... | old(lucy) | [] | null | 0 |
Everyone who is not brave or old is either not tall or not strong and vice versa.
Everyone who is both not tall and creative is either not old or not generous and vice versa.
If someone is not old then alice is both not curious and kind.
If someone is not creative or not strong then mary is either not strong or not old... | Mary is funny. | contradiction | (![X]:((~brave(X)|old(X))<=>(~tall(X)<~>~strong(X))))&
(![X]:((~tall(X)&creative(X))<=>(~old(X)<~>~generous(X))))&
((?[X]:(~old(X)))=>((~curious(alice)&kind(alice))))&
((?[X]:((~creative(X)|~strong(X))))=>((~strong(mary)<~>~old(mary))))&
(![X]:((~quiet(X)&~brave(X))<=>(creative(X)&humble(X))))&
((patient(paul))<=>((wis... | funny(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3440331358482081000742943
% SZS output start Proof for 3440331358482081000742943
20. ~strong(mary) & ~funny(mary) [input p19]
25. funny(mary) [input hypothesis]
133. ~funny(mary) [cnf transformation 20]
141. funny(mary) [cnf transformation 25]
285. $false [subsumption resolution 141,133]
... | 0 |
If someone is not strong or not humble then someone is not rich or not tall.
Everyone who is both humble and tall is not humble or rich.
Everyone who is not creative is not rich and vice versa.
Everyone who is both old and wise is not patient and vice versa.
If someone is either not wise or quiet then someone is either... | Mary is not calm. | contradiction | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(~humble(X)|rich(X))))&
(![X]:(~creative(X)<=>~rich(X)))&
(![X]:((old(X)&wise(X))<=>~patient(X)))&
((?[X]:((~wise(X)<~>quiet(X))))<=>(?[X]:((~brave(X)<~>old(X)))))&
(![X]:(~patient(X)<=>(rich(X)<~>~old(X))))&
(![X]:((~rich(X)|... | ~calm(mary) | [
"p2",
"p3",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5073822051392036377312834
% SZS output start Proof for 5073822051392036377312834
3. ! [X0] : (~creative(X0) <=> ~rich(X0)) [input p2]
4. ! [X0] : ((wise(X0) & old(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : (~patient(X0) <=> (rich(X0) <~> ~old(X0))) [input p5]
7. ! [X0] : ((~old(X0) | ~... | 0 |
Everyone who is both patient and not funny is not kind or creative.
If fred is both generous and rich then paul is either funny or wise and vice versa.
If alice is either old or not calm then john is curious.
Everyone who is both not wise and not funny is either funny or generous and vice versa.
If mary is funny then s... | Mary is not calm. | entailment | (![X]:((patient(X)&~funny(X))=>(~kind(X)|creative(X))))&
(((generous(fred)&rich(fred)))<=>((funny(paul)<~>wise(paul))))&
(((old(alice)<~>~calm(alice)))=>(curious(john)))&
(![X]:((~wise(X)&~funny(X))<=>(funny(X)<~>generous(X))))&
((funny(mary))<=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:((kind(X)|~wise(X))))=>((brave(... | ~calm(mary) | [
"p0",
"p3",
"p4",
"p8",
"p12",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7775596923602095572895502
% SZS output start Proof for 7775596923602095572895502
1. ! [X0] : ((~funny(X0) & patient(X0)) => (creative(X0) | ~kind(X0))) [input p0]
4. ! [X0] : ((~funny(X0) & ~wise(X0)) <=> (funny(X0) <~> generous(X0))) [input p3]
5. funny(mary) <=> ? [X0] : (patient(X0) <~... | 0 |
Everyone who is either funny or calm is both tall and not happy. Everyone who is not kind or not brave is either brave or calm and vice versa. Everyone who is generous or happy is tall or quiet and vice versa. If susan is patient then someone is not funny. Everyone who is not tall or not old is not funny or funny and v... | Mary is rich. | neutral | (![X]:((funny(X)<~>calm(X))=>(tall(X)&~happy(X))))&
(![X]:((~kind(X)|~brave(X))<=>(brave(X)<~>calm(X))))&
(![X]:((generous(X)|happy(X))<=>(tall(X)|quiet(X))))&
((patient(susan))=>(?[X]:(~funny(X))))&
(![X]:((~tall(X)|~old(X))<=>(~funny(X)|funny(X))))&
(((~calm(mary)&~humble(mary)))<=>(wise(fred)))&
(![X]:((strong(X)<~>... | rich(mary) | [] | null | 0 |
Everyone who is either funny or not quiet is not curious and vice versa. If lucy is not tall or not quiet then alice is either old or not happy and vice versa. Everyone who is wise is strong. Everyone who is funny is either not old or old and vice versa. Everyone who is kind or generous is either creative or not rich. ... | Alice is tall. | entailment | (![X]:((funny(X)<~>~quiet(X))<=>~curious(X)))&
(((~tall(lucy)|~quiet(lucy)))<=>((old(alice)<~>~happy(alice))))&
(![X]:(wise(X)=>strong(X)))&
(![X]:(funny(X)<=>(~old(X)<~>old(X))))&
(![X]:((kind(X)|generous(X))=>(creative(X)<~>~rich(X))))&
((curious(lucy))<=>(?[X]:((~brave(X)<~>~happy(X)))))&
((?[X]:((calm(X)&~quiet(X))... | tall(alice) | [
"p0",
"p3",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7694360803386395285891424
% SZS output start Proof for 7694360803386395285891424
1. ! [X0] : ((funny(X0) <~> ~quiet(X0)) <=> ~curious(X0)) [input p0]
4. ! [X0] : (funny(X0) <=> (~old(X0) <~> old(X0))) [input p3]
15. ! [X0] : ((funny(X0) | generous(X0)) <=> (~curious(X0) & old(X0))) [input... | 0 |
If fred is both generous and tall then susan is patient or brave.
Everyone who is both old and not patient is either patient or creative and vice versa.
If someone is rich then fred is both kind and not generous.
If susan is both kind and quiet then someone is both not calm and generous.
If fred is either generous or t... | Alice is quiet. | contradiction | (((generous(fred)&tall(fred)))=>((patient(susan)|brave(susan))))&
(![X]:((old(X)&~patient(X))<=>(patient(X)<~>creative(X))))&
((?[X]:(rich(X)))=>((kind(fred)&~generous(fred))))&
(((kind(susan)&quiet(susan)))=>(?[X]:((~calm(X)&generous(X)))))&
(((generous(fred)<~>tall(fred)))<=>(?[X]:((~curious(X)<~>generous(X)))))&
(![... | quiet(alice) | [
"p2",
"p5",
"p7",
"p8",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 217874378356887258759337
% SZS output start Proof for 217874378356887258759337
3. ? [X0] : rich(X0) => (~generous(fred) & kind(fred)) [input p2]
6. ! [X0] : (strong(X0) => (kind(X0) & ~humble(X0))) [input p5]
8. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (happy(X0) & ~curious(X0))) [input... | 0 |
If mary is either strong or generous then john is either creative or strong and vice versa.
Everyone who is not calm or curious is not rich and vice versa.
Everyone who is not wise or not generous is either funny or brave.
Everyone who is not humble or not quiet is either not rich or rich and vice versa.
Everyone who i... | John is calm. | neutral | (((strong(mary)<~>generous(mary)))<=>((creative(john)<~>strong(john))))&
(![X]:((~calm(X)|curious(X))<=>~rich(X)))&
(![X]:((~wise(X)|~generous(X))=>(funny(X)<~>brave(X))))&
(![X]:((~humble(X)|~quiet(X))<=>(~rich(X)<~>rich(X))))&
(![X]:((~wise(X)|old(X))=>(brave(X)|happy(X))))&
(![X]:(happy(X)=>(calm(X)&~old(X))))&
(((h... | calm(john) | [] | null | 0 |
Everyone who is creative or funny is old or not quiet and vice versa.
Everyone who is humble is either kind or funny and vice versa.
Everyone who is not quiet or rich is not strong or quiet.
Everyone who is not funny is not strong.
Everyone who is kind is either not generous or funny and vice versa.
Everyone who is bot... | Susan is not wise. | contradiction | (![X]:((creative(X)|funny(X))<=>(old(X)|~quiet(X))))&
(![X]:(humble(X)<=>(kind(X)<~>funny(X))))&
(![X]:((~quiet(X)|rich(X))=>(~strong(X)|quiet(X))))&
(![X]:(~funny(X)=>~strong(X)))&
(![X]:(kind(X)<=>(~generous(X)<~>funny(X))))&
(![X]:((patient(X)&~old(X))=>(curious(X)&happy(X))))&
(![X]:(curious(X)=>(kind(X)&strong(X))... | ~wise(susan) | [
"p9",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6536714960105498495462712
% SZS output start Proof for 6536714960105498495462712
10. ! [X0] : ((~kind(X0) | kind(X0)) => (~strong(X0) & ~happy(X0))) [input p9]
11. ? [X0] : (~patient(X0) <~> ~calm(X0)) <=> (happy(lucy) & curious(lucy)) [input p10]
12. ? [X0] : ~calm(X0) => wise(susan) [in... | 0 |
Everyone who is not rich or kind is both not tall and happy and vice versa.
Everyone who is brave is both not funny and wise and vice versa.
Everyone who is both quiet and not creative is either happy or not kind.
If someone is not curious or not wise then lucy is not humble and vice versa.
If lucy is both humble and n... | Lucy is patient. | contradiction | (![X]:((~rich(X)|kind(X))<=>(~tall(X)&happy(X))))&
(![X]:(brave(X)<=>(~funny(X)&wise(X))))&
(![X]:((quiet(X)&~creative(X))=>(happy(X)<~>~kind(X))))&
((?[X]:((~curious(X)|~wise(X))))<=>(~humble(lucy)))&
(((humble(lucy)&~humble(lucy)))<=>(?[X]:((~curious(X)<~>happy(X)))))&
((tall(susan))<=>(?[X]:((~old(X)|quiet(X)))))&
(... | patient(lucy) | [
"p0",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7395635542492044169325745
% SZS output start Proof for 7395635542492044169325745
1. ! [X0] : ((kind(X0) | ~rich(X0)) <=> (happy(X0) & ~tall(X0))) [input p0]
10. ! [X0] : ((~tall(X0) <~> strong(X0)) <=> (~patient(X0) <~> strong(X0))) [input p9]
15. ! [X0] : ((tall(X0) | ~humble(X0)) <=> ~r... | 0 |
Everyone who is both strong and not old is strong or quiet. If someone is either strong or not wise then mary is creative. Everyone who is both funny and strong is curious or not rich and vice versa. If alice is wise then someone is rich or not quiet. Everyone who is either kind or not old is either curious or not wise... | Lucy is not tall. | entailment | (![X]:((strong(X)&~old(X))=>(strong(X)|quiet(X))))&
((?[X]:((strong(X)<~>~wise(X))))=>(creative(mary)))&
(![X]:((funny(X)&strong(X))<=>(curious(X)|~rich(X))))&
((wise(alice))=>(?[X]:((rich(X)|~quiet(X)))))&
(![X]:((kind(X)<~>~old(X))<=>(curious(X)<~>~wise(X))))&
(![X]:((~calm(X)|wise(X))<=>(quiet(X)<~>calm(X))))&
(![X]... | ~tall(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3844303707166158076617262
% SZS output start Proof for 3844303707166158076617262
12. ! [X0] : ((~generous(X0) <~> generous(X0)) <=> (~brave(X0) & ~tall(X0))) [input p11]
21. tall(lucy) [input hypothesis]
50. ! [X0] : ((((~generous(X0) | generous(X0)) & (generous(X0) | ~generous(X0))) | (b... | 0 |
Everyone who is not brave or not funny is both not patient and quiet and vice versa. If lucy is both not strong and not brave then someone is funny or calm and vice versa. Everyone who is rich or creative is humble and vice versa. If susan is both not brave and patient then mary is not humble or not calm. If someone is... | Lucy is tall. | neutral | (![X]:((~brave(X)|~funny(X))<=>(~patient(X)&quiet(X))))&
(((~strong(lucy)&~brave(lucy)))<=>(?[X]:((funny(X)|calm(X)))))&
(![X]:((rich(X)|creative(X))<=>humble(X)))&
(((~brave(susan)&patient(susan)))=>((~humble(mary)|~calm(mary))))&
((?[X]:((~quiet(X)&old(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(brave(X)=>~funny(X)))&
(((hap... | tall(lucy) | [] | null | 0 |
If someone is curious then someone is not funny.
If alice is both not patient and rich then paul is not tall or creative and vice versa.
If mary is either not tall or strong then lucy is both rich and happy.
If someone is both not generous and funny then alice is either not rich or not kind and vice versa.
Everyone who... | Lucy is not kind. | entailment | ((?[X]:(curious(X)))=>(?[X]:(~funny(X))))&
(((~patient(alice)&rich(alice)))<=>((~tall(paul)|creative(paul))))&
(((~tall(mary)<~>strong(mary)))=>((rich(lucy)&happy(lucy))))&
((?[X]:((~generous(X)&funny(X))))<=>((~rich(alice)<~>~kind(alice))))&
(![X]:((kind(X)&~humble(X))=>(happy(X)&calm(X))))&
(((~creative(fred)<~>~tall... | ~kind(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5241697444986050988723794
% SZS output start Proof for 5241697444986050988723794
8. ! [X0] : ((kind(X0) | brave(X0)) => (creative(X0) & ~creative(X0))) [input p7]
25. kind(lucy) [input hypothesis]
27. ! [X0] : (kind(X0) => (creative(X0) & ~creative(X0))) [pure predicate removal 8]
35. ! [... | 0 |
Everyone who is either happy or not curious is either not brave or happy and vice versa. If john is both happy and not old then paul is not wise or kind and vice versa. If alice is not quiet then someone is both not kind and not strong and vice versa. Everyone who is both not tall and generous is not wise and vice vers... | Lucy is not rich. | neutral | (![X]:((happy(X)<~>~curious(X))<=>(~brave(X)<~>happy(X))))&
(((happy(john)&~old(john)))<=>((~wise(paul)|kind(paul))))&
((~quiet(alice))<=>(?[X]:((~kind(X)&~strong(X)))))&
(![X]:((~tall(X)&generous(X))<=>~wise(X)))&
(![X]:((~brave(X)&calm(X))<=>(brave(X)|generous(X))))&
(((kind(mary)<~>wise(mary)))<=>(?[X]:((~wise(X)&cu... | ~rich(lucy) | [] | null | 0 |
If someone is patient or not generous then fred is happy and vice versa.
Everyone who is not patient is either not strong or funny.
Everyone who is both not kind and tall is not calm or rich.
If someone is not humble then someone is kind or not tall.
Everyone who is brave is either not generous or humble and vice versa... | Lucy is strong. | entailment | ((?[X]:((patient(X)|~generous(X))))<=>(happy(fred)))&
(![X]:(~patient(X)=>(~strong(X)<~>funny(X))))&
(![X]:((~kind(X)&tall(X))=>(~calm(X)|rich(X))))&
((?[X]:(~humble(X)))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(generous(X)|~strong(X))))&
(![X]:((... | strong(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 614121574538510154469591
% SZS output start Proof for 614121574538510154469591
9. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> strong(X0)) [input p8]
23. ~strong(lucy) [input hypothesis]
49. ! [X0] : (((~generous(X0) | ~strong(X0)) | ~strong(X0)) & (strong(X0) | (generous(X0) & strong(X0))... | 0 |
Everyone who is creative is both not curious and wise.
Everyone who is both old and not calm is not brave or wise and vice versa.
If someone is not generous or not tall then mary is rich or quiet.
If someone is both not quiet and creative then someone is not funny.
Everyone who is not tall or not rich is either humble ... | Fred is calm. | neutral | (![X]:(creative(X)=>(~curious(X)&wise(X))))&
(![X]:((old(X)&~calm(X))<=>(~brave(X)|wise(X))))&
((?[X]:((~generous(X)|~tall(X))))=>((rich(mary)|quiet(mary))))&
((?[X]:((~quiet(X)&creative(X))))=>(?[X]:(~funny(X))))&
(![X]:((~tall(X)|~rich(X))=>(humble(X)<~>creative(X))))&
((?[X]:((~quiet(X)<~>~old(X))))=>(?[X]:(~curious... | calm(fred) | [] | null | 0 |
Everyone who is not strong or wise is either tall or not quiet.
If fred is patient or not wise then someone is both not happy and calm and vice versa.
If someone is both funny and brave then someone is both not calm and rich.
If someone is not wise or not funny then fred is brave or happy and vice versa.
If someone is ... | Paul is not curious. | contradiction | (![X]:((~strong(X)|wise(X))=>(tall(X)<~>~quiet(X))))&
(((patient(fred)|~wise(fred)))<=>(?[X]:((~happy(X)&calm(X)))))&
((?[X]:((funny(X)&brave(X))))=>(?[X]:((~calm(X)&rich(X)))))&
((?[X]:((~wise(X)|~funny(X))))<=>((brave(fred)|happy(fred))))&
((?[X]:((calm(X)<~>wise(X))))=>(?[X]:((tall(X)&brave(X)))))&
(![X]:((~rich(X)|... | ~curious(paul) | [
"p5",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2513058208486259718256952
% SZS output start Proof for 2513058208486259718256952
6. ! [X0] : ((~patient(X0) | ~rich(X0)) <=> rich(X0)) [input p5]
10. ! [X0] : ((calm(X0) & ~happy(X0)) <=> (curious(X0) | happy(X0))) [input p9]
13. ! [X0] : ((~happy(X0) | quiet(X0)) => (generous(X0) <~> ~ca... | 0 |
Everyone who is either curious or not old is both rich and not quiet. Everyone who is strong is not patient and vice versa. Everyone who is either patient or rich is not strong or not happy. Everyone who is either not kind or kind is generous or not curious and vice versa. Everyone who is either not creative or not qui... | Susan is calm. | neutral | (![X]:((curious(X)<~>~old(X))=>(rich(X)&~quiet(X))))&
(![X]:(strong(X)<=>~patient(X)))&
(![X]:((patient(X)<~>rich(X))=>(~strong(X)|~happy(X))))&
(![X]:((~kind(X)<~>kind(X))<=>(generous(X)|~curious(X))))&
(![X]:((~creative(X)<~>~quiet(X))=>~funny(X)))&
((quiet(john))=>(?[X]:(humble(X))))&
(![X]:((strong(X)<~>curious(X))... | calm(susan) | [] | null | 0 |
Everyone who is either not calm or quiet is either not humble or not curious and vice versa. If mary is both old and not quiet then lucy is curious and vice versa. Everyone who is either brave or not humble is either wise or not funny and vice versa. Everyone who is both not brave and not strong is either creative or k... | Mary is not quiet. | neutral | (![X]:((~calm(X)<~>quiet(X))<=>(~humble(X)<~>~curious(X))))&
(((old(mary)&~quiet(mary)))<=>(curious(lucy)))&
(![X]:((brave(X)<~>~humble(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((~brave(X)&~strong(X))=>(creative(X)<~>kind(X))))&
(![X]:(~patient(X)<=>~calm(X)))&
(![X]:((~funny(X)&funny(X))<=>(tall(X)|brave(X))))&
(![X]:((~s... | ~quiet(mary) | [] | null | 0 |
If someone is not generous then alice is both not curious and calm.
If someone is either not generous or happy then someone is both not strong and not funny and vice versa.
If john is either not old or generous then fred is not curious.
Everyone who is either not tall or not kind is not brave and vice versa.
If someone... | Paul is not calm. | entailment | ((?[X]:(~generous(X)))=>((~curious(alice)&calm(alice))))&
((?[X]:((~generous(X)<~>happy(X))))<=>(?[X]:((~strong(X)&~funny(X)))))&
(((~old(john)<~>generous(john)))=>(~curious(fred)))&
(![X]:((~tall(X)<~>~kind(X))<=>~brave(X)))&
((?[X]:(happy(X)))<=>(?[X]:((kind(X)|rich(X)))))&
(![X]:((brave(X)&curious(X))<=>(brave(X)&~o... | ~calm(paul) | [
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5275865204040557835167265
% SZS output start Proof for 5275865204040557835167265
7. ! [X0] : ((brave(X0) | ~brave(X0)) => (strong(X0) & ~old(X0))) [input p6]
8. ! [X0] : (strong(X0) <=> (~brave(X0) & ~creative(X0))) [input p7]
13. ! [X0] : (creative(X0) <=> (calm(X0) | ~curious(X0))) [inp... | 0 |
If susan is curious or kind then mary is not strong and vice versa.
If fred is quiet then someone is either calm or creative.
Everyone who is old or not happy is kind.
Everyone who is strong is either quiet or old and vice versa.
If john is both not patient and creative then someone is both not kind and wise.
If fred i... | Mary is not creative. | contradiction | (((curious(susan)|kind(susan)))<=>(~strong(mary)))&
((quiet(fred))=>(?[X]:((calm(X)<~>creative(X)))))&
(![X]:((old(X)|~happy(X))=>kind(X)))&
(![X]:(strong(X)<=>(quiet(X)<~>old(X))))&
(((~patient(john)&creative(john)))=>(?[X]:((~kind(X)&wise(X)))))&
(((~brave(fred)|strong(fred)))=>((~generous(susan)&~tall(susan))))&
(((... | ~creative(mary) | [
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 61886790119580976464872
% SZS output start Proof for 61886790119580976464872
9. ! [X0] : ((~wise(X0) | rich(X0)) <=> creative(X0)) [input p8]
20. rich(mary) & ~tall(mary) [input p19]
25. ~creative(mary) [input hypothesis]
49. ! [X0] : (((~wise(X0) | rich(X0)) | ~creative(X0)) & (creative(... | 0 |
Everyone who is both not rich and rich is generous or not kind and vice versa.
Everyone who is both not kind and kind is either not tall or not curious and vice versa.
If lucy is both not tall and strong then someone is funny.
If alice is funny or not quiet then lucy is both not creative and not humble.
If someone is b... | Paul is not wise. | entailment | (![X]:((~rich(X)&rich(X))<=>(generous(X)|~kind(X))))&
(![X]:((~kind(X)&kind(X))<=>(~tall(X)<~>~curious(X))))&
(((~tall(lucy)&strong(lucy)))=>(?[X]:(funny(X))))&
(((funny(alice)|~quiet(alice)))=>((~creative(lucy)&~humble(lucy))))&
((?[X]:((brave(X)|rich(X))))<=>(?[X]:((~quiet(X)<~>tall(X)))))&
(![X]:((kind(X)&~happy(X))... | ~wise(paul) | [
"p0",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5428276927621331292775431
% SZS output start Proof for 5428276927621331292775431
1. ! [X0] : ((rich(X0) & ~rich(X0)) <=> (~kind(X0) | generous(X0))) [input p0]
9. ! [X0] : (~generous(X0) <=> (~wise(X0) <~> ~brave(X0))) [input p8]
12. ! [X0] : ((kind(X0) <~> brave(X0)) <=> generous(X0)) [i... | 0 |
Everyone who is humble is both generous and not wise.
Everyone who is not curious is both not generous and curious.
Everyone who is not calm is curious or generous and vice versa.
If paul is calm then someone is not calm.
If alice is generous then someone is curious or not patient.
Everyone who is not quiet is old and ... | Susan is strong. | contradiction | (![X]:(humble(X)=>(generous(X)&~wise(X))))&
(![X]:(~curious(X)=>(~generous(X)&curious(X))))&
(![X]:(~calm(X)<=>(curious(X)|generous(X))))&
((calm(paul))=>(?[X]:(~calm(X))))&
((generous(alice))=>(?[X]:((curious(X)|~patient(X)))))&
(![X]:(~quiet(X)<=>old(X)))&
((?[X]:(~strong(X)))<=>((rich(john)|~kind(john))))&
(((~happy... | strong(susan) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 32619995506270341611128
% SZS output start Proof for 32619995506270341611128
10. ! [X0] : (strong(X0) => (old(X0) & humble(X0))) [input p9]
15. ! [X0] : (strong(X0) <=> (~humble(X0) & rich(X0))) [input p14]
23. strong(susan) [input hypothesis]
29. ! [X0] : ((old(X0) & humble(X0)) | ~stron... | 0 |
Everyone who is not happy or not old is both not humble and generous and vice versa. Everyone who is either not wise or wise is both funny and not creative. If someone is kind or not funny then someone is calm and vice versa. If someone is not curious then susan is either curious or old. Everyone who is strong is both ... | Susan is not happy. | neutral | (![X]:((~happy(X)|~old(X))<=>(~humble(X)&generous(X))))&
(![X]:((~wise(X)<~>wise(X))=>(funny(X)&~creative(X))))&
((?[X]:((kind(X)|~funny(X))))<=>(?[X]:(calm(X))))&
((?[X]:(~curious(X)))=>((curious(susan)<~>old(susan))))&
(![X]:(strong(X)<=>(~funny(X)&~curious(X))))&
(((~happy(mary)&~creative(mary)))=>(~brave(lucy)))&
(... | ~happy(susan) | [] | null | 0 |
Everyone who is calm or not funny is both rich and not tall. Everyone who is curious is both not funny and not happy. Everyone who is both quiet and not generous is either funny or wise. Everyone who is either brave or not funny is both kind and not happy and vice versa. If paul is both not calm and humble then paul is... | Paul is brave. | contradiction | (![X]:((calm(X)|~funny(X))=>(rich(X)&~tall(X))))&
(![X]:(curious(X)=>(~funny(X)&~happy(X))))&
(![X]:((quiet(X)&~generous(X))=>(funny(X)<~>wise(X))))&
(![X]:((brave(X)<~>~funny(X))<=>(kind(X)&~happy(X))))&
(((~calm(paul)&humble(paul)))=>((humble(paul)&~tall(paul))))&
(![X]:((funny(X)|~generous(X))<=>(~funny(X)<~>brave(X... | brave(paul) | [
"p0",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5482840102226865751287385
% SZS output start Proof for 5482840102226865751287385
1. ! [X0] : ((~funny(X0) | calm(X0)) => (~tall(X0) & rich(X0))) [input p0]
6. ! [X0] : ((~generous(X0) | funny(X0)) <=> (~funny(X0) <~> brave(X0))) [input p5]
14. (~tall(mary) | ~wise(mary)) <=> (~brave(paul)... | 0 |
If lucy is old or not brave then someone is rich or old.
If lucy is either not tall or not brave then susan is both not brave and curious.
Everyone who is humble or curious is both not rich and calm and vice versa.
Everyone who is curious or not generous is either not strong or kind and vice versa.
If mary is both not ... | Fred is not patient. | contradiction | (((old(lucy)|~brave(lucy)))=>(?[X]:((rich(X)|old(X)))))&
(((~tall(lucy)<~>~brave(lucy)))=>((~brave(susan)&curious(susan))))&
(![X]:((humble(X)|curious(X))<=>(~rich(X)&calm(X))))&
(![X]:((curious(X)|~generous(X))<=>(~strong(X)<~>kind(X))))&
(((~happy(mary)&~generous(mary)))<=>((~wise(mary)&~kind(mary))))&
(![X]:((~wise(... | ~patient(fred) | [
"p2",
"p3",
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 802957605090984402411287
% SZS output start Proof for 802957605090984402411287
3. ! [X0] : ((curious(X0) | humble(X0)) <=> (calm(X0) & ~rich(X0))) [input p2]
4. ! [X0] : ((~generous(X0) | curious(X0)) <=> (~strong(X0) <~> kind(X0))) [input p3]
7. ! [X0] : ((patient(X0) & ~kind(X0)) <=> (k... | 0 |
If someone is both brave and not rich then mary is both kind and not quiet.
If lucy is either humble or not funny then mary is both wise and not old and vice versa.
Everyone who is either curious or not kind is both not old and patient and vice versa.
Everyone who is wise or not curious is calm or not tall and vice ver... | Paul is rich. | neutral | ((?[X]:((brave(X)&~rich(X))))=>((kind(mary)&~quiet(mary))))&
(((humble(lucy)<~>~funny(lucy)))<=>((wise(mary)&~old(mary))))&
(![X]:((curious(X)<~>~kind(X))<=>(~old(X)&patient(X))))&
(![X]:((wise(X)|~curious(X))<=>(calm(X)|~tall(X))))&
((?[X]:((happy(X)<~>wise(X))))<=>(?[X]:((humble(X)|funny(X)))))&
(![X]:(~brave(X)=>old... | rich(paul) | [] | null | 0 |
If alice is curious or not curious then someone is both not wise and not happy. If someone is not generous then fred is happy and vice versa. Everyone who is not old or patient is funny. If someone is not old or not brave then someone is creative or generous. Everyone who is calm is wise or not funny and vice versa. If... | John is calm. | entailment | (((curious(alice)|~curious(alice)))=>(?[X]:((~wise(X)&~happy(X)))))&
((?[X]:(~generous(X)))<=>(happy(fred)))&
(![X]:((~old(X)|patient(X))=>funny(X)))&
((?[X]:((~old(X)|~brave(X))))=>(?[X]:((creative(X)|generous(X)))))&
(![X]:(calm(X)<=>(wise(X)|~funny(X))))&
(((~strong(fred)<~>strong(fred)))<=>(?[X]:((calm(X)|~brave(X)... | calm(john) | [
"p4",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3816323379641525845926922
% SZS output start Proof for 3816323379641525845926922
5. ! [X0] : (calm(X0) <=> (~funny(X0) | wise(X0))) [input p4]
20. wise(john) [input p19]
25. ~calm(john) [input hypothesis]
52. ! [X0] : ((calm(X0) | (funny(X0) & ~wise(X0))) & ((~funny(X0) | wise(X0)) | ~cal... | 0 |
Everyone who is either kind or not quiet is either not generous or kind. If someone is either curious or not tall then someone is both kind and not curious. If lucy is calm then susan is creative or not happy and vice versa. If mary is either kind or not happy then alice is both not generous and calm and vice versa. If... | John is not calm. | neutral | (![X]:((kind(X)<~>~quiet(X))=>(~generous(X)<~>kind(X))))&
((?[X]:((curious(X)<~>~tall(X))))=>(?[X]:((kind(X)&~curious(X)))))&
((calm(lucy))<=>((creative(susan)|~happy(susan))))&
(((kind(mary)<~>~happy(mary)))<=>((~generous(alice)&calm(alice))))&
(((~creative(mary)|humble(mary)))=>(?[X]:(creative(X))))&
(![X]:((~patient... | ~calm(john) | [] | null | 0 |
Everyone who is brave is creative or curious.
If someone is wise then someone is old and vice versa.
Everyone who is either brave or not humble is not rich.
Everyone who is either calm or kind is humble or not wise.
If someone is not rich or patient then susan is not happy or rich.
Everyone who is either humble or not ... | Paul is tall. | contradiction | (![X]:(brave(X)=>(creative(X)|curious(X))))&
((?[X]:(wise(X)))<=>(?[X]:(old(X))))&
(![X]:((brave(X)<~>~humble(X))=>~rich(X)))&
(![X]:((calm(X)<~>kind(X))=>(humble(X)|~wise(X))))&
((?[X]:((~rich(X)|patient(X))))=>((~happy(susan)|rich(susan))))&
(![X]:((humble(X)<~>~wise(X))<=>~quiet(X)))&
((~strong(paul))<=>(?[X]:((~qui... | tall(paul) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4459282369671791963877957
% SZS output start Proof for 4459282369671791963877957
10. (~tall(paul) & ~rich(paul)) <=> ? [X0] : ~funny(X0) [input p9]
18. ? [X0] : (quiet(X0) & ~funny(X0)) [input p17]
25. tall(paul) [input hypothesis]
58. ((~tall(paul) & ~rich(paul)) | ! [X0] : funny(X0)) & ... | 0 |
If john is not brave or not curious then alice is patient.
Everyone who is both creative and strong is either not patient or patient.
If fred is not strong then mary is both not happy and not generous.
If someone is both tall and not humble then lucy is not strong and vice versa.
If someone is both not rich and wise th... | Fred is rich. | contradiction | (((~brave(john)|~curious(john)))=>(patient(alice)))&
(![X]:((creative(X)&strong(X))=>(~patient(X)<~>patient(X))))&
((~strong(fred))=>((~happy(mary)&~generous(mary))))&
((?[X]:((tall(X)&~humble(X))))<=>(~strong(lucy)))&
((?[X]:((~rich(X)&wise(X))))=>((~humble(paul)&~happy(paul))))&
(![X]:(~brave(X)<=>(creative(X)&~brave... | rich(fred) | [
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5358730408863380277637972
% SZS output start Proof for 5358730408863380277637972
10. ! [X0] : ((calm(X0) & ~rich(X0)) <=> (generous(X0) | ~creative(X0))) [input p9]
13. ! [X0] : (generous(X0) <=> old(X0)) [input p12]
15. ! [X0] : (~brave(X0) <=> (~brave(X0) <~> ~old(X0))) [input p14]
23. ... | 0 |
If mary is either curious or not tall then john is either curious or happy.
Everyone who is not quiet is not old and vice versa.
Everyone who is not calm is both creative and tall.
If someone is both not tall and not generous then someone is either calm or not quiet.
If someone is both creative and old then someone is ... | John is not tall. | entailment | (((curious(mary)<~>~tall(mary)))=>((curious(john)<~>happy(john))))&
(![X]:(~quiet(X)<=>~old(X)))&
(![X]:(~calm(X)=>(creative(X)&tall(X))))&
((?[X]:((~tall(X)&~generous(X))))=>(?[X]:((calm(X)<~>~quiet(X)))))&
((?[X]:((creative(X)&old(X))))<=>(?[X]:(funny(X))))&
(![X]:((curious(X)|kind(X))<=>(kind(X)<~>tall(X))))&
(![X]:... | ~tall(john) | [
"p1",
"p5",
"p7",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4463251359546213956542624
% SZS output start Proof for 4463251359546213956542624
2. ! [X0] : (~quiet(X0) <=> ~old(X0)) [input p1]
6. ! [X0] : ((kind(X0) | curious(X0)) <=> (kind(X0) <~> tall(X0))) [input p5]
8. ! [X0] : ((rich(X0) | old(X0)) <=> (~rich(X0) | quiet(X0))) [input p7]
16. ? [... | 0 |
If lucy is either happy or generous then susan is strong or not humble. Everyone who is not patient or not calm is strong or old and vice versa. If someone is either not kind or not strong then someone is not creative. If susan is both not tall and not brave then someone is either not humble or not calm and vice versa.... | Fred is not patient. | entailment | (((happy(lucy)<~>generous(lucy)))=>((strong(susan)|~humble(susan))))&
(![X]:((~patient(X)|~calm(X))<=>(strong(X)|old(X))))&
((?[X]:((~kind(X)<~>~strong(X))))=>(?[X]:(~creative(X))))&
(((~tall(susan)&~brave(susan)))<=>(?[X]:((~humble(X)<~>~calm(X)))))&
(((~humble(lucy)<~>~brave(lucy)))=>(funny(john)))&
((quiet(alice))<=... | ~patient(fred) | [
"p7",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2482457140376480988718425
% SZS output start Proof for 2482457140376480988718425
8. ! [X0] : ((creative(X0) | calm(X0)) <=> (~brave(X0) & ~curious(X0))) [input p7]
12. ! [X0] : ((brave(X0) <~> ~creative(X0)) <=> (~wise(X0) | brave(X0))) [input p11]
19. ~brave(fred) <~> patient(fred) [inpu... | 0 |
Everyone who is happy is either not funny or not creative and vice versa.
Everyone who is not quiet or not rich is not wise or quiet.
Everyone who is not tall or not kind is humble.
If someone is curious then someone is both not calm and not brave.
Everyone who is either curious or not rich is calm or tall and vice ver... | Paul is not calm. | contradiction | (![X]:(happy(X)<=>(~funny(X)<~>~creative(X))))&
(![X]:((~quiet(X)|~rich(X))=>(~wise(X)|quiet(X))))&
(![X]:((~tall(X)|~kind(X))=>humble(X)))&
((?[X]:(curious(X)))=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:((curious(X)<~>~rich(X))<=>(calm(X)|tall(X))))&
(![X]:(kind(X)=>(~kind(X)&strong(X))))&
(![X]:(~humble(X)<=>(happy(X)<~... | ~calm(paul) | [
"p4",
"p8",
"p11",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 771389333414398380625005
% SZS output start Proof for 771389333414398380625005
5. ! [X0] : ((curious(X0) <~> ~rich(X0)) <=> (tall(X0) | calm(X0))) [input p4]
9. (quiet(paul) <~> ~old(paul)) <=> ? [X0] : (~quiet(X0) | strong(X0)) [input p8]
12. ! [X0] : ((~strong(X0) | tall(X0)) => (~tall(... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.