premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If fred is both not creative and funny then john is either not brave or not funny and vice versa. If someone is both kind and funny then someone is both patient and not tall. Everyone who is not kind or not creative is both calm and not patient and vice versa. Everyone who is generous or not kind is either not generous... | Alice is humble. | contradiction | (((~creative(fred)&funny(fred)))<=>((~brave(john)<~>~funny(john))))&
((?[X]:((kind(X)&funny(X))))=>(?[X]:((patient(X)&~tall(X)))))&
(![X]:((~kind(X)|~creative(X))<=>(calm(X)&~patient(X))))&
(![X]:((generous(X)|~kind(X))=>(~generous(X)<~>~brave(X))))&
(((kind(alice)&funny(alice)))<=>(~calm(alice)))&
(![X]:((~patient(X)&... | humble(alice) | [
"p2",
"p4",
"p5",
"p9",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9105023972699461994747995
% SZS output start Proof for 9105023972699461994747995
3. ! [X0] : ((~creative(X0) | ~kind(X0)) <=> (~patient(X0) & calm(X0))) [input p2]
5. (funny(alice) & kind(alice)) <=> ~calm(alice) [input p4]
6. ! [X0] : ((humble(X0) & ~patient(X0)) <=> funny(X0)) [input p5... | 0 |
If someone is either strong or funny then fred is old or strong.
If someone is both not rich and brave then john is old or not patient.
Everyone who is not wise or not humble is not quiet.
If alice is tall then fred is both rich and not curious and vice versa.
Everyone who is humble or creative is both generous and not... | Lucy is generous. | neutral | ((?[X]:((strong(X)<~>funny(X))))=>((old(fred)|strong(fred))))&
((?[X]:((~rich(X)&brave(X))))=>((old(john)|~patient(john))))&
(![X]:((~wise(X)|~humble(X))=>~quiet(X)))&
((tall(alice))<=>((rich(fred)&~curious(fred))))&
(![X]:((humble(X)|creative(X))<=>(generous(X)&~brave(X))))&
(![X]:(~kind(X)<=>(~creative(X)<~>rich(X)))... | generous(lucy) | [] | null | 0 |
Everyone who is both not rich and patient is either not strong or quiet and vice versa.
If john is strong or wise then someone is old or not patient and vice versa.
If mary is not wise then mary is not humble and vice versa.
Everyone who is not wise is either not tall or not humble.
Everyone who is both not old and not... | Fred is tall. | contradiction | (![X]:((~rich(X)&patient(X))<=>(~strong(X)<~>quiet(X))))&
(((strong(john)|wise(john)))<=>(?[X]:((old(X)|~patient(X)))))&
((~wise(mary))<=>(~humble(mary)))&
(![X]:(~wise(X)=>(~tall(X)<~>~humble(X))))&
(![X]:((~old(X)&~brave(X))<=>(creative(X)|~tall(X))))&
(![X]:((strong(X)|creative(X))=>(~quiet(X)&funny(X))))&
(![X]:((~... | tall(fred) | [
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3502585056663670360183187
% SZS output start Proof for 3502585056663670360183187
5. ! [X0] : ((~brave(X0) & ~old(X0)) <=> (~tall(X0) | creative(X0))) [input p4]
16. ! [X0] : ((~old(X0) <~> old(X0)) => ~tall(X0)) [input p15]
24. tall(fred) [input hypothesis]
36. ! [X0] : (~tall(X0) | (~old... | 0 |
Everyone who is not funny is not curious or not rich and vice versa.
If mary is wise then alice is both strong and not calm and vice versa.
Everyone who is either kind or tall is both not happy and not funny and vice versa.
Everyone who is both not quiet and brave is either not funny or not strong and vice versa.
Every... | Alice is not rich. | entailment | (![X]:(~funny(X)<=>(~curious(X)|~rich(X))))&
((wise(mary))<=>((strong(alice)&~calm(alice))))&
(![X]:((kind(X)<~>tall(X))<=>(~happy(X)&~funny(X))))&
(![X]:((~quiet(X)&brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:(kind(X)<=>(~generous(X)|generous(X))))&
((?[X]:((~creative(X)<~>funny(X))))<=>(?[X]:((~humble(X)|~strong(X)... | ~rich(alice) | [
"p0",
"p3",
"p9",
"p10",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 557470769914676028650558
% SZS output start Proof for 557470769914676028650558
1. ! [X0] : (~funny(X0) <=> (~rich(X0) | ~curious(X0))) [input p0]
4. ! [X0] : ((brave(X0) & ~quiet(X0)) <=> (~funny(X0) <~> ~strong(X0))) [input p3]
10. ! [X0] : ((~creative(X0) | ~funny(X0)) <=> (~happy(X0) |... | 0 |
Everyone who is not brave or not humble is tall or not brave and vice versa.
If fred is either wise or not creative then someone is both patient and wise.
If fred is not curious or tall then someone is humble or old.
If john is either rich or not calm then someone is not calm or not generous.
Everyone who is both not c... | John is rich. | neutral | (![X]:((~brave(X)|~humble(X))<=>(tall(X)|~brave(X))))&
(((wise(fred)<~>~creative(fred)))=>(?[X]:((patient(X)&wise(X)))))&
(((~curious(fred)|tall(fred)))=>(?[X]:((humble(X)|old(X)))))&
(((rich(john)<~>~calm(john)))=>(?[X]:((~calm(X)|~generous(X)))))&
(![X]:((~calm(X)&~funny(X))=>generous(X)))&
(![X]:(~calm(X)=>(~generou... | rich(john) | [] | null | 0 |
If someone is not humble or generous then someone is not humble or not wise.
Everyone who is both rich and not curious is old or creative and vice versa.
If someone is not old then fred is both old and patient.
Everyone who is both not tall and not happy is not tall or strong.
If fred is either wise or generous then so... | Fred is strong. | entailment | ((?[X]:((~humble(X)|generous(X))))=>(?[X]:((~humble(X)|~wise(X)))))&
(![X]:((rich(X)&~curious(X))<=>(old(X)|creative(X))))&
((?[X]:(~old(X)))=>((old(fred)&patient(fred))))&
(![X]:((~tall(X)&~happy(X))=>(~tall(X)|strong(X))))&
(((wise(fred)<~>generous(fred)))<=>(?[X]:((old(X)<~>calm(X)))))&
((?[X]:((~wise(X)|~creative(X... | strong(fred) | [
"p2",
"p5",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5199402822656450896805486
% SZS output start Proof for 5199402822656450896805486
3. ? [X0] : ~old(X0) => (patient(fred) & old(fred)) [input p2]
6. ? [X0] : (~creative(X0) | ~wise(X0)) => ? [X0] : (~old(X0) & happy(X0)) [input p5]
15. ! [X0] : (~patient(X0) <=> (~humble(X0) <~> ~patient(X0... | 0 |
Everyone who is either old or happy is either not kind or not calm and vice versa.
Everyone who is both not tall and curious is either not brave or old and vice versa.
If someone is not calm then someone is not tall or wise and vice versa.
If john is rich then john is either brave or not quiet.
Everyone who is either n... | John is not old. | neutral | (![X]:((old(X)<~>happy(X))<=>(~kind(X)<~>~calm(X))))&
(![X]:((~tall(X)&curious(X))<=>(~brave(X)<~>old(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~tall(X)|wise(X)))))&
((rich(john))=>((brave(john)<~>~quiet(john))))&
(![X]:((~kind(X)<~>~wise(X))<=>(wise(X)<~>~quiet(X))))&
(![X]:((~patient(X)&~wise(X))=>(~funny(X)|rich(X))))&
(!... | ~old(john) | [] | null | 0 |
If lucy is either not wise or old then someone is either not curious or not wise. Everyone who is either not happy or patient is either tall or curious. If someone is either not old or not brave then alice is either not funny or not happy and vice versa. Everyone who is happy or humble is either not kind or rich. Every... | Alice is not calm. | entailment | (((~wise(lucy)<~>old(lucy)))=>(?[X]:((~curious(X)<~>~wise(X)))))&
(![X]:((~happy(X)<~>patient(X))=>(tall(X)<~>curious(X))))&
((?[X]:((~old(X)<~>~brave(X))))<=>((~funny(alice)<~>~happy(alice))))&
(![X]:((happy(X)|humble(X))=>(~kind(X)<~>rich(X))))&
(![X]:((calm(X)<~>~wise(X))<=>funny(X)))&
((?[X]:(kind(X)))<=>(~tall(mar... | ~calm(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3401391674334946148477977
% SZS output start Proof for 3401391674334946148477977
20. happy(alice) & ~calm(alice) [input p19]
25. calm(alice) [input hypothesis]
156. ~calm(alice) [cnf transformation 20]
163. calm(alice) [cnf transformation 25]
324. $false [subsumption resolution 163,156]
%... | 0 |
Everyone who is not old or patient is both rich and quiet. Everyone who is brave is both not curious and not kind and vice versa. If paul is not curious then susan is both kind and patient and vice versa. If mary is wise or not curious then someone is creative and vice versa. Everyone who is not funny or generous is hu... | Susan is not humble. | contradiction | (![X]:((~old(X)|patient(X))=>(rich(X)&quiet(X))))&
(![X]:(brave(X)<=>(~curious(X)&~kind(X))))&
((~curious(paul))<=>((kind(susan)&patient(susan))))&
(((wise(mary)|~curious(mary)))<=>(?[X]:(creative(X))))&
(![X]:((~funny(X)|generous(X))<=>(humble(X)|~patient(X))))&
(![X]:((quiet(X)|~generous(X))=>~tall(X)))&
(![X]:((~gen... | ~humble(susan) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7807017545578318455211241
% SZS output start Proof for 7807017545578318455211241
1. ! [X0] : ((patient(X0) | ~old(X0)) => (quiet(X0) & rich(X0))) [input p0]
5. ! [X0] : ((generous(X0) | ~funny(X0)) <=> (~patient(X0) | humble(X0))) [input p4]
6. ! [X0] : ((~generous(X0) | quiet(X0)) => ~ta... | 0 |
Everyone who is happy is both humble and funny.
If someone is not wise then someone is either curious or not old.
Everyone who is either not wise or not rich is either strong or happy and vice versa.
If someone is both creative and not funny then paul is either wise or not quiet.
Everyone who is either not curious or n... | Fred is not kind. | entailment | (![X]:(happy(X)=>(humble(X)&funny(X))))&
((?[X]:(~wise(X)))=>(?[X]:((curious(X)<~>~old(X)))))&
(![X]:((~wise(X)<~>~rich(X))<=>(strong(X)<~>happy(X))))&
((?[X]:((creative(X)&~funny(X))))=>((wise(paul)<~>~quiet(paul))))&
(![X]:((~curious(X)<~>~old(X))<=>~quiet(X)))&
(![X]:(humble(X)<=>(brave(X)<~>generous(X))))&
(![X]:((... | ~kind(fred) | [
"p2",
"p6",
"p7",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5716288887780609008254436
% SZS output start Proof for 5716288887780609008254436
3. ! [X0] : ((~wise(X0) <~> ~rich(X0)) <=> (strong(X0) <~> happy(X0))) [input p2]
7. ! [X0] : ((~old(X0) | ~curious(X0)) <=> (wise(X0) <~> kind(X0))) [input p6]
8. ! [X0] : ((~wise(X0) | brave(X0)) => wise(X0... | 0 |
Everyone who is not humble is either not generous or old.
If someone is not curious then mary is both tall and not curious.
Everyone who is brave is not calm.
Everyone who is either not calm or creative is not patient or tall and vice versa.
If someone is brave then paul is either not patient or funny.
Everyone who is ... | Alice is generous. | neutral | (![X]:(~humble(X)=>(~generous(X)<~>old(X))))&
((?[X]:(~curious(X)))=>((tall(mary)&~curious(mary))))&
(![X]:(brave(X)=>~calm(X)))&
(![X]:((~calm(X)<~>creative(X))<=>(~patient(X)|tall(X))))&
((?[X]:(brave(X)))=>((~patient(paul)<~>funny(paul))))&
(![X]:(funny(X)<=>(patient(X)|~patient(X))))&
(![X]:((~happy(X)<~>old(X))<=>... | generous(alice) | [] | null | 0 |
If susan is either tall or not curious then susan is not happy or kind.
Everyone who is generous is tall and vice versa.
If fred is not brave then someone is either creative or not happy and vice versa.
If paul is both not strong and not old then someone is not tall or not brave and vice versa.
Everyone who is not rich... | Paul is not kind. | entailment | (((tall(susan)<~>~curious(susan)))=>((~happy(susan)|kind(susan))))&
(![X]:(generous(X)<=>tall(X)))&
((~brave(fred))<=>(?[X]:((creative(X)<~>~happy(X)))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
(((~creative(alice)&~wise(alice)))<=>((~rich(alice)|humble(alice))))&
... | ~kind(paul) | [
"p2",
"p4",
"p7",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7562759480978752832427936
% SZS output start Proof for 7562759480978752832427936
3. ~brave(fred) <=> ? [X0] : (creative(X0) <~> ~happy(X0)) [input p2]
5. ! [X0] : (~rich(X0) <=> strong(X0)) [input p4]
8. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> quiet(X0)) [input p7]
11. ? [X0] : ~happy(X0) =... | 0 |
Everyone who is not calm is either not rich or not creative.
If alice is both brave and not tall then someone is not happy.
Everyone who is not rich or funny is not rich and vice versa.
Everyone who is not funny is both happy and not happy.
Everyone who is either wise or kind is either wise or not patient.
If paul is b... | John is not curious. | contradiction | (![X]:(~calm(X)=>(~rich(X)<~>~creative(X))))&
(((brave(alice)&~tall(alice)))=>(?[X]:(~happy(X))))&
(![X]:((~rich(X)|funny(X))<=>~rich(X)))&
(![X]:(~funny(X)=>(happy(X)&~happy(X))))&
(![X]:((wise(X)<~>kind(X))=>(wise(X)<~>~patient(X))))&
(((old(paul)&~old(paul)))=>((~curious(lucy)&calm(lucy))))&
(![X]:((~wise(X)&rich(X)... | ~curious(john) | [
"p2",
"p3",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2355918103964288813888998
% SZS output start Proof for 2355918103964288813888998
3. ! [X0] : ((funny(X0) | ~rich(X0)) <=> ~rich(X0)) [input p2]
4. ! [X0] : (~funny(X0) => (~happy(X0) & happy(X0))) [input p3]
9. (funny(fred) <~> ~rich(fred)) <=> ? [X0] : (~curious(X0) & humble(X0)) [input ... | 0 |
If fred is strong or happy then lucy is both not calm and funny and vice versa.
If john is both rich and not happy then john is both happy and tall and vice versa.
Everyone who is not funny is both not quiet and not old.
Everyone who is humble or brave is not strong.
If someone is either not rich or happy then someone ... | Susan is curious. | neutral | (((strong(fred)|happy(fred)))<=>((~calm(lucy)&funny(lucy))))&
(((rich(john)&~happy(john)))<=>((happy(john)&tall(john))))&
(![X]:(~funny(X)=>(~quiet(X)&~old(X))))&
(![X]:((humble(X)|brave(X))=>~strong(X)))&
((?[X]:((~rich(X)<~>happy(X))))<=>(?[X]:((~tall(X)<~>~wise(X)))))&
(![X]:((humble(X)&quiet(X))<=>(happy(X)|quiet(X... | curious(susan) | [] | null | 0 |
Everyone who is calm or not quiet is kind or rich and vice versa. Everyone who is either funny or not patient is old or not creative. If lucy is not kind then someone is generous or not funny and vice versa. If susan is both not curious and humble then mary is either not curious or happy. Everyone who is wise or not ge... | John is rich. | entailment | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|rich(X))))&
(![X]:((funny(X)<~>~patient(X))=>(old(X)|~creative(X))))&
((~kind(lucy))<=>(?[X]:((generous(X)|~funny(X)))))&
(((~curious(susan)&humble(susan)))=>((~curious(mary)<~>happy(mary))))&
(![X]:((wise(X)|~generous(X))<=>(brave(X)&~wise(X))))&
(![X]:((rich(X)<~>~strong(X))<=>(~... | rich(john) | [
"p4",
"p5",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5797743729467552768559393
% SZS output start Proof for 5797743729467552768559393
5. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~wise(X0) & brave(X0))) [input p4]
6. ! [X0] : ((rich(X0) <~> ~strong(X0)) <=> (~wise(X0) & ~generous(X0))) [input p5]
7. ! [X0] : ((kind(X0) & funny(X0)) <=> ~cal... | 0 |
If mary is generous then john is rich or creative and vice versa. If john is not quiet or curious then someone is either rich or not curious. If someone is not brave then someone is patient or rich. Everyone who is humble or funny is both funny and generous and vice versa. Everyone who is calm is curious. If alice is r... | Mary is not wise. | entailment | ((generous(mary))<=>((rich(john)|creative(john))))&
(((~quiet(john)|curious(john)))=>(?[X]:((rich(X)<~>~curious(X)))))&
((?[X]:(~brave(X)))=>(?[X]:((patient(X)|rich(X)))))&
(![X]:((humble(X)|funny(X))<=>(funny(X)&generous(X))))&
(![X]:(calm(X)=>curious(X)))&
((rich(alice))<=>(?[X]:((quiet(X)<~>rich(X)))))&
((?[X]:((~ge... | ~wise(mary) | [
"p6",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5526187499152212127917992
% SZS output start Proof for 5526187499152212127917992
7. ? [X0] : (~happy(X0) | ~generous(X0)) => (~kind(mary) & ~funny(mary)) [input p6]
12. ! [X0] : ((wise(X0) & creative(X0)) <=> (~kind(X0) & ~creative(X0))) [input p11]
17. ~happy(john) & rich(john) [input p1... | 0 |
If someone is both wise and not patient then lucy is both not rich and quiet. 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... | Susan is not creative. | entailment | ((?[X]:((wise(X)&~patient(X))))=>((~rich(lucy)&quiet(lucy))))&
(![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))=>(c... | ~creative(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4562123486799639533754435
% SZS output start Proof for 4562123486799639533754435
13. ! [X0] : ((~humble(X0) | creative(X0)) <=> (~creative(X0) & ~happy(X0))) [input p12]
23. creative(susan) [input hypothesis]
61. ! [X0] : (((~humble(X0) | creative(X0)) | (creative(X0) | happy(X0))) & ((~c... | 0 |
Everyone who is calm or rich is both patient and not patient and vice versa.
If someone is generous or not strong then fred is both not rich and not happy.
Everyone who is either not generous or calm is either strong or quiet and vice versa.
Everyone who is happy is both quiet and not funny and vice versa.
If someone i... | Alice is old. | contradiction | (![X]:((calm(X)|rich(X))<=>(patient(X)&~patient(X))))&
((?[X]:((generous(X)|~strong(X))))=>((~rich(fred)&~happy(fred))))&
(![X]:((~generous(X)<~>calm(X))<=>(strong(X)<~>quiet(X))))&
(![X]:(happy(X)<=>(quiet(X)&~funny(X))))&
((?[X]:(creative(X)))<=>(?[X]:((rich(X)&creative(X)))))&
(![X]:((~kind(X)|~curious(X))<=>~quiet(... | old(alice) | [
"p0",
"p3",
"p5",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3540043851983354005725749
% SZS output start Proof for 3540043851983354005725749
1. ! [X0] : ((rich(X0) | calm(X0)) <=> (~patient(X0) & patient(X0))) [input p0]
4. ! [X0] : (happy(X0) <=> (~funny(X0) & quiet(X0))) [input p3]
6. ! [X0] : ((~curious(X0) | ~kind(X0)) <=> ~quiet(X0)) [input p... | 0 |
If someone is strong then paul is not humble and vice versa. Everyone who is not kind is both not tall and not patient and vice versa. Everyone who is both quiet and not kind is generous or not kind and vice versa. Everyone who is either not strong or not generous is not brave. If someone is either not happy or not ric... | Paul is not humble. | neutral | ((?[X]:(strong(X)))<=>(~humble(paul)))&
(![X]:(~kind(X)<=>(~tall(X)&~patient(X))))&
(![X]:((quiet(X)&~kind(X))<=>(generous(X)|~kind(X))))&
(![X]:((~strong(X)<~>~generous(X))=>~brave(X)))&
((?[X]:((~happy(X)<~>~rich(X))))<=>(~funny(john)))&
(![X]:((strong(X)|quiet(X))=>generous(X)))&
(![X]:(~humble(X)<=>(rich(X)&~patien... | ~humble(paul) | [] | null | 0 |
Everyone who is both not calm and quiet is both not tall and not patient and vice versa.
If fred is either funny or not kind then someone is not tall or not brave.
If someone is both not wise and not calm then someone is old and vice versa.
Everyone who is both not patient and not brave is both brave and not humble.
Ev... | Alice is not funny. | neutral | (![X]:((~calm(X)&quiet(X))<=>(~tall(X)&~patient(X))))&
(((funny(fred)<~>~kind(fred)))=>(?[X]:((~tall(X)|~brave(X)))))&
((?[X]:((~wise(X)&~calm(X))))<=>(?[X]:(old(X))))&
(![X]:((~patient(X)&~brave(X))=>(brave(X)&~humble(X))))&
(![X]:(~quiet(X)<=>(patient(X)|generous(X))))&
(((~tall(lucy)<~>funny(lucy)))<=>(?[X]:((genero... | ~funny(alice) | [] | null | 0 |
Everyone who is not tall is both patient and generous.
Everyone who is patient is rich or not wise and vice versa.
If fred is both funny and not patient then lucy is tall and vice versa.
Everyone who is strong or not humble is not quiet or not generous and vice versa.
If susan is both happy and not generous then someon... | Fred is rich. | contradiction | (![X]:(~tall(X)=>(patient(X)&generous(X))))&
(![X]:(patient(X)<=>(rich(X)|~wise(X))))&
(((funny(fred)&~patient(fred)))<=>(tall(lucy)))&
(![X]:((strong(X)|~humble(X))<=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~generous(susan)))<=>(?[X]:((~humble(X)|patient(X)))))&
(![X]:(~tall(X)=>(happy(X)&~wise(X))))&
((quiet(lucy... | rich(fred) | [
"p1",
"p2",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 208146354788847782665252
% SZS output start Proof for 208146354788847782665252
2. ! [X0] : (patient(X0) <=> (~wise(X0) | rich(X0))) [input p1]
3. (~patient(fred) & funny(fred)) <=> tall(lucy) [input p2]
14. ! [X0] : (quiet(X0) <=> (~tall(X0) | ~kind(X0))) [input p13]
16. ~quiet(lucy) <=> ... | 0 |
Everyone who is both not generous and not patient is either brave or not humble. Everyone who is both not patient and not calm is wise or not curious and vice versa. If lucy is either not generous or not wise then someone is not generous or funny and vice versa. Everyone who is both not strong and not curious is not cr... | Mary is rich. | contradiction | (![X]:((~generous(X)&~patient(X))=>(brave(X)<~>~humble(X))))&
(![X]:((~patient(X)&~calm(X))<=>(wise(X)|~curious(X))))&
(((~generous(lucy)<~>~wise(lucy)))<=>(?[X]:((~generous(X)|funny(X)))))&
(![X]:((~strong(X)&~curious(X))=>(~creative(X)|~old(X))))&
(((~strong(john)&kind(john)))=>((~humble(susan)<~>~creative(susan))))&... | rich(mary) | [
"p1",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8269584177732091981568364
% SZS output start Proof for 8269584177732091981568364
2. ! [X0] : ((~calm(X0) & ~patient(X0)) <=> (~curious(X0) | wise(X0))) [input p1]
6. ? [X0] : calm(X0) <=> ? [X0] : (rich(X0) | ~humble(X0)) [input p5]
13. ! [X0] : (~quiet(X0) <=> (quiet(X0) | wise(X0))) [in... | 0 |
Everyone who is both curious and not old is happy. Everyone who is not tall is not patient. If lucy is not strong then mary is funny and vice versa. Everyone who is kind or not quiet is not brave or happy and vice versa. Everyone who is either not curious or happy is either humble or not happy. If someone is tall or cu... | Alice is generous. | contradiction | (![X]:((curious(X)&~old(X))=>happy(X)))&
(![X]:(~tall(X)=>~patient(X)))&
((~strong(lucy))<=>(funny(mary)))&
(![X]:((kind(X)|~quiet(X))<=>(~brave(X)|happy(X))))&
(![X]:((~curious(X)<~>happy(X))=>(humble(X)<~>~happy(X))))&
((?[X]:((tall(X)|curious(X))))=>((~quiet(alice)<~>calm(alice))))&
(![X]:((patient(X)&~happy(X))<=>(... | generous(alice) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4056798938566719063706632
% SZS output start Proof for 4056798938566719063706632
1. ! [X0] : ((~old(X0) & curious(X0)) => happy(X0)) [input p0]
5. ! [X0] : ((~curious(X0) <~> happy(X0)) => (humble(X0) <~> ~happy(X0))) [input p4]
7. ! [X0] : ((~happy(X0) & patient(X0)) <=> (kind(X0) <~> hu... | 0 |
Everyone who is both funny and not curious is rich or not curious and vice versa.
If lucy is not calm then fred is both not funny and not happy and vice versa.
Everyone who is either not humble or brave is both not happy and funny and vice versa.
If someone is not brave then susan is strong and vice versa.
Everyone who... | Susan is not kind. | neutral | (![X]:((funny(X)&~curious(X))<=>(rich(X)|~curious(X))))&
((~calm(lucy))<=>((~funny(fred)&~happy(fred))))&
(![X]:((~humble(X)<~>brave(X))<=>(~happy(X)&funny(X))))&
((?[X]:(~brave(X)))<=>(strong(susan)))&
(![X]:((~strong(X)|quiet(X))=>~funny(X)))&
((?[X]:((~brave(X)|~patient(X))))=>((funny(fred)|creative(fred))))&
(![X]:... | ~kind(susan) | [] | null | 0 |
Everyone who is both patient and quiet is not curious or not quiet.
If someone is both calm and tall then someone is both tall and funny and vice versa.
If fred is funny then mary is not calm or not wise and vice versa.
Everyone who is not creative is both not funny and rich.
If someone is not kind then fred is not hum... | Fred is not funny. | neutral | (![X]:((patient(X)&quiet(X))=>(~curious(X)|~quiet(X))))&
((?[X]:((calm(X)&tall(X))))<=>(?[X]:((tall(X)&funny(X)))))&
((funny(fred))<=>((~calm(mary)|~wise(mary))))&
(![X]:(~creative(X)=>(~funny(X)&rich(X))))&
((?[X]:(~kind(X)))<=>((~humble(fred)|~tall(fred))))&
(![X]:((humble(X)&curious(X))<=>(wise(X)&~humble(X))))&
(![... | ~funny(fred) | [] | null | 0 |
If someone is not strong or not old then someone is happy and vice versa.
Everyone who is not tall or curious is both generous and rich.
Everyone who is both not brave and not strong is both wise and old.
Everyone who is either not rich or rich is generous.
Everyone who is creative or wise is either old or not happy an... | John is brave. | entailment | ((?[X]:((~strong(X)|~old(X))))<=>(?[X]:(happy(X))))&
(![X]:((~tall(X)|curious(X))=>(generous(X)&rich(X))))&
(![X]:((~brave(X)&~strong(X))=>(wise(X)&old(X))))&
(![X]:((~rich(X)<~>rich(X))=>generous(X)))&
(![X]:((creative(X)|wise(X))<=>(old(X)<~>~happy(X))))&
(![X]:((rich(X)<~>happy(X))=>patient(X)))&
(![X]:((happy(X)|br... | brave(john) | [
"p3",
"p4",
"p6",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3945192126602193233132619
% SZS output start Proof for 3945192126602193233132619
4. ! [X0] : ((~rich(X0) <~> rich(X0)) => generous(X0)) [input p3]
5. ! [X0] : ((wise(X0) | creative(X0)) <=> (old(X0) <~> ~happy(X0))) [input p4]
7. ! [X0] : ((brave(X0) | happy(X0)) <=> ~creative(X0)) [input... | 0 |
Everyone who is not quiet is either old or not wise and vice versa. If someone is either rich or calm then mary is rich or strong. Everyone who is not calm is both not old and calm. If mary is not tall or not brave then someone is kind or strong. If someone is both not kind and not wise then someone is funny or wise. I... | Susan is not calm. | contradiction | (![X]:(~quiet(X)<=>(old(X)<~>~wise(X))))&
((?[X]:((rich(X)<~>calm(X))))=>((rich(mary)|strong(mary))))&
(![X]:(~calm(X)=>(~old(X)&calm(X))))&
(((~tall(mary)|~brave(mary)))=>(?[X]:((kind(X)|strong(X)))))&
((?[X]:((~kind(X)&~wise(X))))=>(?[X]:((funny(X)|wise(X)))))&
((?[X]:(calm(X)))<=>(?[X]:(wise(X))))&
(![X]:((curious(X... | ~calm(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2029143455462787942105119
% SZS output start Proof for 2029143455462787942105119
3. ! [X0] : (~calm(X0) => (calm(X0) & ~old(X0))) [input p2]
24. ~calm(susan) [input hypothesis]
30. ! [X0] : ((calm(X0) & ~old(X0)) | calm(X0)) [ennf transformation 3]
84. calm(X0) | calm(X0) [cnf transformat... | 0 |
Everyone who is either not curious or not funny is either not happy or humble and vice versa.
If alice is not wise then mary is not quiet or old and vice versa.
If mary is not happy or old then john is either not curious or calm.
If someone is calm then mary is both generous and not rich.
Everyone who is either not cal... | Fred is not brave. | contradiction | (![X]:((~curious(X)<~>~funny(X))<=>(~happy(X)<~>humble(X))))&
((~wise(alice))<=>((~quiet(mary)|old(mary))))&
(((~happy(mary)|old(mary)))=>((~curious(john)<~>calm(john))))&
((?[X]:(calm(X)))=>((generous(mary)&~rich(mary))))&
(![X]:((~calm(X)<~>kind(X))=>~curious(X)))&
(![X]:((~happy(X)&~wise(X))=>~creative(X)))&
(![X]:(... | ~brave(fred) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 210486414476524752120490
% SZS output start Proof for 210486414476524752120490
20. brave(fred) [input p19]
25. ~brave(fred) [input hypothesis]
124. brave(fred) [cnf transformation 20]
131. ~brave(fred) [cnf transformation 25]
242. $false [subsumption resolution 131,124]
% SZS output end P... | 0 |
If susan is both not tall and not rich then someone is generous or not calm.
If someone is not generous or not rich then someone is not quiet and vice versa.
If someone is not generous then john is both curious and patient and vice versa.
Everyone who is not happy is both not strong and patient and vice versa.
If someo... | Alice is not humble. | contradiction | (((~tall(susan)&~rich(susan)))=>(?[X]:((generous(X)|~calm(X)))))&
((?[X]:((~generous(X)|~rich(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:(~generous(X)))<=>((curious(john)&patient(john))))&
(![X]:(~happy(X)<=>(~strong(X)&patient(X))))&
((?[X]:((wise(X)|patient(X))))<=>(?[X]:((kind(X)|happy(X)))))&
(((brave(john)|~quiet(john)))... | ~humble(alice) | [
"p1",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3902880546653434287178915
% SZS output start Proof for 3902880546653434287178915
2. ? [X0] : (~rich(X0) | ~generous(X0)) <=> ? [X0] : ~quiet(X0) [input p1]
11. ! [X0] : ((rich(X0) & quiet(X0)) => ~tall(X0)) [input p10]
13. ? [X0] : (~tall(X0) | ~quiet(X0)) <=> (~wise(alice) & humble(alice... | 0 |
Everyone who is not curious or calm is either humble or patient and vice versa. Everyone who is both tall and curious is either calm or humble. Everyone who is strong or not tall is either wise or not strong. If someone is either not curious or not generous then mary is not rich. Everyone who is either not rich or not ... | Lucy is not strong. | contradiction | (![X]:((~curious(X)|calm(X))<=>(humble(X)<~>patient(X))))&
(![X]:((tall(X)&curious(X))=>(calm(X)<~>humble(X))))&
(![X]:((strong(X)|~tall(X))=>(wise(X)<~>~strong(X))))&
((?[X]:((~curious(X)<~>~generous(X))))=>(~rich(mary)))&
(![X]:((~rich(X)<~>~happy(X))<=>(funny(X)|calm(X))))&
(((kind(john)|tall(john)))=>(~humble(susan... | ~strong(lucy) | [
"p0",
"p4",
"p7",
"p9",
"p11",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8145429148057819504181989
% SZS output start Proof for 8145429148057819504181989
1. ! [X0] : ((calm(X0) | ~curious(X0)) <=> (humble(X0) <~> patient(X0))) [input p0]
5. ! [X0] : ((~rich(X0) <~> ~happy(X0)) <=> (calm(X0) | funny(X0))) [input p4]
8. ! [X0] : ((patient(X0) | ~rich(X0)) => (ki... | 0 |
If mary is tall or not brave then someone is calm or strong and vice versa. If someone is either not funny or not brave then someone is both not humble and not old. If someone is either rich or not creative then susan is not rich or not humble and vice versa. Everyone who is both funny and not patient is curious or not... | Susan is old. | contradiction | (((tall(mary)|~brave(mary)))<=>(?[X]:((calm(X)|strong(X)))))&
((?[X]:((~funny(X)<~>~brave(X))))=>(?[X]:((~humble(X)&~old(X)))))&
((?[X]:((rich(X)<~>~creative(X))))<=>((~rich(susan)|~humble(susan))))&
(![X]:((funny(X)&~patient(X))<=>(curious(X)|~funny(X))))&
((?[X]:((rich(X)&~patient(X))))=>((rich(alice)<~>~quiet(alice)... | old(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 28759424737522349285136
% SZS output start Proof for 28759424737522349285136
10. ! [X0] : ((~tall(X0) | ~old(X0)) <=> (~old(X0) | tall(X0))) [input p9]
21. old(susan) [input hypothesis]
62. ! [X0] : (((~tall(X0) | ~old(X0)) | (old(X0) & ~tall(X0))) & ((~old(X0) | tall(X0)) | (tall(X0) & o... | 0 |
If john is either not kind or kind then john is happy.
Everyone who is old or not calm is calm.
Everyone who is not rich is not quiet.
If susan is both not quiet and strong then someone is not humble and vice versa.
Everyone who is either quiet or not rich is quiet.
Everyone who is both not humble and quiet is both not... | Susan is not rich. | contradiction | (((~kind(john)<~>kind(john)))=>(happy(john)))&
(![X]:((old(X)|~calm(X))=>calm(X)))&
(![X]:(~rich(X)=>~quiet(X)))&
(((~quiet(susan)&strong(susan)))<=>(?[X]:(~humble(X))))&
(![X]:((quiet(X)<~>~rich(X))=>quiet(X)))&
(![X]:((~humble(X)&quiet(X))<=>(~tall(X)&~calm(X))))&
(![X]:((~quiet(X)|rich(X))<=>(~calm(X)<~>~humble(X)))... | ~rich(susan) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3229453168078902248641977
% SZS output start Proof for 3229453168078902248641977
3. ! [X0] : (~rich(X0) => ~quiet(X0)) [input p2]
5. ! [X0] : ((quiet(X0) <~> ~rich(X0)) => quiet(X0)) [input p4]
23. ~rich(susan) [input hypothesis]
27. ! [X0] : (~quiet(X0) | rich(X0)) [ennf transformation 3... | 0 |
Everyone who is quiet or rich is generous and vice versa.
If someone is both not patient and generous then someone is not creative or old.
Everyone who is generous is brave or generous.
If someone is either curious or patient then john is not curious or not funny.
Everyone who is either humble or not old is both genero... | Mary is rich. | entailment | (![X]:((quiet(X)|rich(X))<=>generous(X)))&
((?[X]:((~patient(X)&generous(X))))=>(?[X]:((~creative(X)|old(X)))))&
(![X]:(generous(X)=>(brave(X)|generous(X))))&
((?[X]:((curious(X)<~>patient(X))))=>((~curious(john)|~funny(john))))&
(![X]:((humble(X)<~>~old(X))=>(generous(X)&~rich(X))))&
((?[X]:((quiet(X)|wise(X))))=>(?[X... | rich(mary) | [
"p0",
"p4",
"p5",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3597290085793746469125762
% SZS output start Proof for 3597290085793746469125762
1. ! [X0] : ((rich(X0) | quiet(X0)) <=> generous(X0)) [input p0]
5. ! [X0] : ((humble(X0) <~> ~old(X0)) => (~rich(X0) & generous(X0))) [input p4]
6. ? [X0] : (wise(X0) | quiet(X0)) => ? [X0] : (old(X0) & humb... | 0 |
If john is either not curious or creative then someone is not wise and vice versa.
Everyone who is not calm or curious is not generous.
Everyone who is both not tall and not strong is either brave or humble and vice versa.
Everyone who is kind is not strong.
If john is not wise then alice is rich.
Everyone who is calm ... | Alice is not strong. | entailment | (((~curious(john)<~>creative(john)))<=>(?[X]:(~wise(X))))&
(![X]:((~calm(X)|curious(X))=>~generous(X)))&
(![X]:((~tall(X)&~strong(X))<=>(brave(X)<~>humble(X))))&
(![X]:(kind(X)=>~strong(X)))&
((~wise(john))=>(rich(alice)))&
(![X]:((calm(X)|generous(X))=>(~brave(X)|kind(X))))&
(![X]:(~old(X)=>(funny(X)<~>generous(X))))&... | ~strong(alice) | [
"p3",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 896328690319556887136675
% SZS output start Proof for 896328690319556887136675
4. ! [X0] : (kind(X0) => ~strong(X0)) [input p3]
11. ! [X0] : ((creative(X0) | ~kind(X0)) => ~curious(X0)) [input p10]
19. curious(alice) & ~creative(alice) [input p18]
25. strong(alice) [input hypothesis]
28. ... | 0 |
Everyone who is both brave and creative is both not happy and brave. If alice is either not happy or not rich then someone is both wise and not tall. If someone is either not brave or funny then someone is patient. If someone is either not wise or rich then paul is either not old or curious. Everyone who is both not st... | John is not creative. | contradiction | (![X]:((brave(X)&creative(X))=>(~happy(X)&brave(X))))&
(((~happy(alice)<~>~rich(alice)))=>(?[X]:((wise(X)&~tall(X)))))&
((?[X]:((~brave(X)<~>funny(X))))=>(?[X]:(patient(X))))&
((?[X]:((~wise(X)<~>rich(X))))=>((~old(paul)<~>curious(paul))))&
(![X]:((~strong(X)&rich(X))=>(~rich(X)|quiet(X))))&
((?[X]:((patient(X)|~funny(... | ~creative(john) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8281104389624310299475246
% SZS output start Proof for 8281104389624310299475246
11. ! [X0] : ((~happy(X0) | ~kind(X0)) => (old(X0) & creative(X0))) [input p10]
13. ! [X0] : ((quiet(X0) | happy(X0)) => (patient(X0) & ~patient(X0))) [input p12]
21. ~creative(john) [input hypothesis]
36. ! ... | 0 |
Everyone who is both happy and generous is both old and humble. If fred is both tall and funny then someone is wise or not happy and vice versa. Everyone who is not kind or humble is not strong and vice versa. If someone is both not creative and humble then someone is both quiet and not kind. Everyone who is both calm ... | Paul is not tall. | neutral | (![X]:((happy(X)&generous(X))=>(old(X)&humble(X))))&
(((tall(fred)&funny(fred)))<=>(?[X]:((wise(X)|~happy(X)))))&
(![X]:((~kind(X)|humble(X))<=>~strong(X)))&
((?[X]:((~creative(X)&humble(X))))=>(?[X]:((quiet(X)&~kind(X)))))&
(![X]:((calm(X)&~funny(X))=>(~old(X)&~brave(X))))&
(((tall(lucy)<~>humble(lucy)))=>(?[X]:(gener... | ~tall(paul) | [] | null | 0 |
If someone is not rich then alice is both rich and not happy.
If someone is both strong and not kind then someone is either creative or kind and vice versa.
Everyone who is calm is either not humble or not funny.
If alice is brave or funny then fred is not funny.
Everyone who is not quiet is not wise or happy.
Everyone... | Alice is curious. | neutral | ((?[X]:(~rich(X)))=>((rich(alice)&~happy(alice))))&
((?[X]:((strong(X)&~kind(X))))<=>(?[X]:((creative(X)<~>kind(X)))))&
(![X]:(calm(X)=>(~humble(X)<~>~funny(X))))&
(((brave(alice)|funny(alice)))=>(~funny(fred)))&
(![X]:(~quiet(X)=>(~wise(X)|happy(X))))&
(![X]:((quiet(X)&~curious(X))=>(rich(X)|~tall(X))))&
((?[X]:((quie... | curious(alice) | [] | null | 0 |
Everyone who is both not patient and brave is either creative or curious. If someone is not creative then susan is humble. Everyone who is quiet or not strong is either not tall or calm. Everyone who is tall or kind is generous and vice versa. Everyone who is both not tall and not quiet is brave. If john is not humble ... | John is not kind. | entailment | (![X]:((~patient(X)&brave(X))=>(creative(X)<~>curious(X))))&
((?[X]:(~creative(X)))=>(humble(susan)))&
(![X]:((quiet(X)|~strong(X))=>(~tall(X)<~>calm(X))))&
(![X]:((tall(X)|kind(X))<=>generous(X)))&
(![X]:((~tall(X)&~quiet(X))=>brave(X)))&
(((~humble(john)|patient(john)))=>(?[X]:((rich(X)|~generous(X)))))&
((?[X]:(~hum... | ~kind(john) | [
"p1",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 412875286388273060247047
% SZS output start Proof for 412875286388273060247047
2. ? [X0] : ~creative(X0) => humble(susan) [input p1]
11. ! [X0] : ((humble(X0) | kind(X0)) => (kind(X0) & ~creative(X0))) [input p10]
24. ~humble(susan) [input p23]
25. kind(john) [input hypothesis]
35. humble... | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is old or patient is both not old and not strong.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is both not quiet and tall then someone is tal... | Alice is not creative. | neutral | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|patient(X))=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))&... | ~creative(alice) | [] | null | 0 |
Everyone who is rich or not calm is either quiet or not curious and vice versa. Everyone who is not calm is tall or rich and vice versa. If someone is old then someone is both strong and not happy. Everyone who is either not patient or not humble is patient and vice versa. Everyone who is strong or kind is either not w... | John is not old. | entailment | (![X]:((rich(X)|~calm(X))<=>(quiet(X)<~>~curious(X))))&
(![X]:(~calm(X)<=>(tall(X)|rich(X))))&
((?[X]:(old(X)))=>(?[X]:((strong(X)&~happy(X)))))&
(![X]:((~patient(X)<~>~humble(X))<=>patient(X)))&
(![X]:((strong(X)|kind(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((~patient(X)&~kind(X))<=>(humble(X)<~>~kind(X))))&
(![X]:((~humb... | ~old(john) | [
"p3",
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4097303678859762225458355
% SZS output start Proof for 4097303678859762225458355
4. ! [X0] : ((~patient(X0) <~> ~humble(X0)) <=> patient(X0)) [input p3]
6. ! [X0] : ((~kind(X0) & ~patient(X0)) <=> (humble(X0) <~> ~kind(X0))) [input p5]
10. ~patient(paul) => ~old(john) [input p9]
11. ! [X0... | 0 |
If someone is patient or not old then someone is both not strong and curious and vice versa.
If someone is not kind then someone is both strong and happy and vice versa.
If someone is humble or creative then fred is either rich or calm.
Everyone who is rich or not happy is wise and vice versa.
If someone is both not ri... | Fred is not strong. | contradiction | ((?[X]:((patient(X)|~old(X))))<=>(?[X]:((~strong(X)&curious(X)))))&
((?[X]:(~kind(X)))<=>(?[X]:((strong(X)&happy(X)))))&
((?[X]:((humble(X)|creative(X))))=>((rich(fred)<~>calm(fred))))&
(![X]:((rich(X)|~happy(X))<=>wise(X)))&
((?[X]:((~rich(X)&kind(X))))<=>(?[X]:((~generous(X)<~>strong(X)))))&
(![X]:((~rich(X)|curious(... | ~strong(fred) | [
"p3",
"p5",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4284580590391166779767106
% SZS output start Proof for 4284580590391166779767106
4. ! [X0] : ((~happy(X0) | rich(X0)) <=> wise(X0)) [input p3]
6. ! [X0] : ((curious(X0) | ~rich(X0)) <=> (~strong(X0) <~> ~brave(X0))) [input p5]
8. ! [X0] : ((~wise(X0) & brave(X0)) => patient(X0)) [input p7... | 0 |
If someone is either not creative or wise then paul is not wise or funny. Everyone who is either not patient or quiet is both patient and not quiet and vice versa. Everyone who is happy or humble is both generous and not calm. If paul is either not old or brave then susan is either patient or not generous. Everyone who... | Paul is creative. | entailment | ((?[X]:((~creative(X)<~>wise(X))))=>((~wise(paul)|funny(paul))))&
(![X]:((~patient(X)<~>quiet(X))<=>(patient(X)&~quiet(X))))&
(![X]:((happy(X)|humble(X))=>(generous(X)&~calm(X))))&
(((~old(paul)<~>brave(paul)))=>((patient(susan)<~>~generous(susan))))&
(![X]:((curious(X)|~funny(X))<=>(~patient(X)|generous(X))))&
(((funn... | creative(paul) | [
"p1",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 115657321842372134732220
% SZS output start Proof for 115657321842372134732220
2. ! [X0] : ((~patient(X0) <~> quiet(X0)) <=> (~quiet(X0) & patient(X0))) [input p1]
12. ! [X0] : (~generous(X0) <=> patient(X0)) [input p11]
14. ! [X0] : ((~kind(X0) | calm(X0)) => (generous(X0) & ~generous(X0... | 0 |
If someone is generous then alice is either humble or not funny.
If someone is rich then paul is not patient or calm and vice versa.
If someone is either happy or not kind then paul is both patient and not curious.
Everyone who is both patient and funny is not happy and vice versa.
If john is not wise then someone is b... | Fred is not strong. | entailment | ((?[X]:(generous(X)))=>((humble(alice)<~>~funny(alice))))&
((?[X]:(rich(X)))<=>((~patient(paul)|calm(paul))))&
((?[X]:((happy(X)<~>~kind(X))))=>((patient(paul)&~curious(paul))))&
(![X]:((patient(X)&funny(X))<=>~happy(X)))&
((~wise(john))<=>(?[X]:((~happy(X)&old(X)))))&
(![X]:((~curious(X)|~old(X))=>(funny(X)|quiet(X)))... | ~strong(fred) | [
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4376195355678499944669450
% SZS output start Proof for 4376195355678499944669450
16. ! [X0] : ((~brave(X0) | strong(X0)) => (~curious(X0) & ~brave(X0))) [input p15]
21. curious(fred) & creative(fred) [input p20]
25. strong(fred) [input hypothesis]
27. curious(fred) [pure predicate removal... | 0 |
Everyone who is strong is not tall or not kind and vice versa.
If someone is not quiet then someone is either not creative or not quiet.
Everyone who is tall or not funny is both brave and not generous and vice versa.
If lucy is both not strong and not quiet then someone is not kind and vice versa.
If someone is not st... | Paul is not rich. | entailment | (![X]:(strong(X)<=>(~tall(X)|~kind(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~creative(X)<~>~quiet(X)))))&
(![X]:((tall(X)|~funny(X))<=>(brave(X)&~generous(X))))&
(((~strong(lucy)&~quiet(lucy)))<=>(?[X]:(~kind(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((funny(X)<~>~brave(X)))))&
((~funny(mary))=>((strong(fred)&tall(fred))))&
(![X]... | ~rich(paul) | [
"p0",
"p2",
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5859532148350003306775619
% SZS output start Proof for 5859532148350003306775619
1. ! [X0] : (strong(X0) <=> (~kind(X0) | ~tall(X0))) [input p0]
3. ! [X0] : ((~funny(X0) | tall(X0)) <=> (~generous(X0) & brave(X0))) [input p2]
5. ? [X0] : ~strong(X0) <=> ? [X0] : (funny(X0) <~> ~brave(X0))... | 0 |
Everyone who is either not tall or not humble is old or not happy and vice versa.
Everyone who is quiet is either quiet or brave.
If someone is both kind and quiet then someone is both curious and creative and vice versa.
If susan is kind then someone is patient or rich and vice versa.
Everyone who is happy is both not... | Alice is not rich. | contradiction | (![X]:((~tall(X)<~>~humble(X))<=>(old(X)|~happy(X))))&
(![X]:(quiet(X)=>(quiet(X)<~>brave(X))))&
((?[X]:((kind(X)&quiet(X))))<=>(?[X]:((curious(X)&creative(X)))))&
((kind(susan))<=>(?[X]:((patient(X)|rich(X)))))&
(![X]:(happy(X)<=>(~humble(X)&brave(X))))&
(![X]:((~strong(X)|tall(X))<=>(strong(X)&humble(X))))&
(((old(jo... | ~rich(alice) | [
"p0",
"p4",
"p5",
"p8",
"p9",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6450722178879833716828253
% SZS output start Proof for 6450722178879833716828253
1. ! [X0] : ((~tall(X0) <~> ~humble(X0)) <=> (~happy(X0) | old(X0))) [input p0]
5. ! [X0] : (happy(X0) <=> (brave(X0) & ~humble(X0))) [input p4]
6. ! [X0] : ((tall(X0) | ~strong(X0)) <=> (humble(X0) & strong(... | 0 |
Everyone who is either not happy or happy is both curious and not rich. Everyone who is not kind is curious or not tall. Everyone who is both not calm and not funny is both curious and not happy. Everyone who is not generous or tall is not quiet or wise and vice versa. Everyone who is both not tall and not creative is ... | Paul is not rich. | entailment | (![X]:((~happy(X)<~>happy(X))=>(curious(X)&~rich(X))))&
(![X]:(~kind(X)=>(curious(X)|~tall(X))))&
(![X]:((~calm(X)&~funny(X))=>(curious(X)&~happy(X))))&
(![X]:((~generous(X)|tall(X))<=>(~quiet(X)|wise(X))))&
(![X]:((~tall(X)&~creative(X))=>(tall(X)<~>~happy(X))))&
(![X]:((~kind(X)<~>~rich(X))<=>(~quiet(X)&~happy(X))))&... | ~rich(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3876335208841525684932070
% SZS output start Proof for 3876335208841525684932070
1. ! [X0] : ((~happy(X0) <~> happy(X0)) => (~rich(X0) & curious(X0))) [input p0]
25. rich(paul) [input hypothesis]
28. ! [X0] : ((~rich(X0) & curious(X0)) | (~happy(X0) <=> happy(X0))) [ennf transformation 1]... | 0 |
If paul is either not creative or rich then someone is either strong or not brave and vice versa.
If alice is not calm or not funny then lucy is either not tall or not funny and vice versa.
If john is both tall and funny then someone is both patient and not old.
Everyone who is not generous or not humble is kind or cal... | Lucy is happy. | contradiction | (((~creative(paul)<~>rich(paul)))<=>(?[X]:((strong(X)<~>~brave(X)))))&
(((~calm(alice)|~funny(alice)))<=>((~tall(lucy)<~>~funny(lucy))))&
(((tall(john)&funny(john)))=>(?[X]:((patient(X)&~old(X)))))&
(![X]:((~generous(X)|~humble(X))=>(kind(X)|calm(X))))&
((generous(lucy))<=>(?[X]:((calm(X)<~>patient(X)))))&
(![X]:((stro... | happy(lucy) | [
"p3",
"p4",
"p8",
"p10",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6177063688288225325691037
% SZS output start Proof for 6177063688288225325691037
4. ! [X0] : ((~humble(X0) | ~generous(X0)) => (calm(X0) | kind(X0))) [input p3]
5. generous(lucy) <=> ? [X0] : (calm(X0) <~> patient(X0)) [input p4]
9. ! [X0] : ((patient(X0) <~> ~happy(X0)) <=> (~tall(X0) <~... | 0 |
If paul is both old and happy then someone is brave or curious and vice versa. Everyone who is either not wise or strong is either not generous or quiet. Everyone who is not humble or old is either kind or curious and vice versa. Everyone who is both calm and not humble is both humble and creative and vice versa. If pa... | John is rich. | contradiction | (((old(paul)&happy(paul)))<=>(?[X]:((brave(X)|curious(X)))))&
(![X]:((~wise(X)<~>strong(X))=>(~generous(X)<~>quiet(X))))&
(![X]:((~humble(X)|old(X))<=>(kind(X)<~>curious(X))))&
(![X]:((calm(X)&~humble(X))<=>(humble(X)&creative(X))))&
(((~patient(paul)|~creative(paul)))<=>(~patient(mary)))&
(![X]:((~funny(X)&~happy(X))=... | rich(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6938131253876772923916051
% SZS output start Proof for 6938131253876772923916051
7. ! [X0] : (rich(X0) <=> (~rich(X0) & humble(X0))) [input p6]
23. rich(john) [input hypothesis]
48. ! [X0] : ((rich(X0) | (rich(X0) | ~humble(X0))) & ((~rich(X0) & humble(X0)) | ~rich(X0))) [nnf transformati... | 0 |
Everyone who is either patient or funny is strong and vice versa. If paul is either not old or brave then fred is either creative or happy. Everyone who is wise is not curious or quiet and vice versa. If paul is happy then someone is not humble. Everyone who is either happy or not rich is creative or not tall. If alice... | Paul is not strong. | neutral | (![X]:((patient(X)<~>funny(X))<=>strong(X)))&
(((~old(paul)<~>brave(paul)))=>((creative(fred)<~>happy(fred))))&
(![X]:(wise(X)<=>(~curious(X)|quiet(X))))&
((happy(paul))=>(?[X]:(~humble(X))))&
(![X]:((happy(X)<~>~rich(X))=>(creative(X)|~tall(X))))&
((happy(alice))=>(~wise(mary)))&
(![X]:((rich(X)|kind(X))=>(generous(X)... | ~strong(paul) | [] | null | 0 |
Everyone who is both curious and not rich is not creative or not tall.
Everyone who is not humble or not wise is old.
If alice is both funny and not curious then fred is both quiet and wise and vice versa.
Everyone who is not generous is both creative and not humble.
Everyone who is both generous and not old is both ca... | Susan is not calm. | neutral | (![X]:((curious(X)&~rich(X))=>(~creative(X)|~tall(X))))&
(![X]:((~humble(X)|~wise(X))=>old(X)))&
(((funny(alice)&~curious(alice)))<=>((quiet(fred)&wise(fred))))&
(![X]:(~generous(X)=>(creative(X)&~humble(X))))&
(![X]:((generous(X)&~old(X))=>(calm(X)&kind(X))))&
(![X]:((~quiet(X)|~generous(X))=>(happy(X)<~>generous(X)))... | ~calm(susan) | [] | null | 0 |
If someone is not brave or not wise then john is either old or not wise and vice versa.
If paul is either tall or creative then someone is rich.
If someone is not happy or humble then someone is generous.
Everyone who is both not generous and kind is curious or calm.
Everyone who is strong or not calm is both not creat... | Susan is patient. | contradiction | ((?[X]:((~brave(X)|~wise(X))))<=>((old(john)<~>~wise(john))))&
(((tall(paul)<~>creative(paul)))=>(?[X]:(rich(X))))&
((?[X]:((~happy(X)|humble(X))))=>(?[X]:(generous(X))))&
(![X]:((~generous(X)&kind(X))=>(curious(X)|calm(X))))&
(![X]:((strong(X)|~calm(X))=>(~creative(X)&quiet(X))))&
(![X]:((funny(X)&~curious(X))=>~old(X... | patient(susan) | [
"p4",
"p8",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2663418540843997416314775
% SZS output start Proof for 2663418540843997416314775
5. ! [X0] : ((~calm(X0) | strong(X0)) => (quiet(X0) & ~creative(X0))) [input p4]
9. ! [X0] : ((patient(X0) & rich(X0)) <=> patient(X0)) [input p8]
12. ! [X0] : ((~patient(X0) <~> quiet(X0)) => (~kind(X0) & ~r... | 0 |
If john is not happy or patient then lucy is humble or not patient and vice versa.
Everyone who is either not kind or not humble is both generous and rich.
If someone is either happy or calm then someone is both funny and old.
Everyone who is rich or humble is both happy and not strong.
If someone is old or generous th... | John is wise. | neutral | (((~happy(john)|patient(john)))<=>((humble(lucy)|~patient(lucy))))&
(![X]:((~kind(X)<~>~humble(X))=>(generous(X)&rich(X))))&
((?[X]:((happy(X)<~>calm(X))))=>(?[X]:((funny(X)&old(X)))))&
(![X]:((rich(X)|humble(X))=>(happy(X)&~strong(X))))&
((?[X]:((old(X)|generous(X))))<=>(generous(lucy)))&
(![X]:((brave(X)&creative(X))... | wise(john) | [] | null | 0 |
Everyone who is either not calm or humble is both happy and not strong.
Everyone who is both creative and not funny is both generous and not brave.
If mary is both not creative and funny then someone is either not creative or not generous and vice versa.
If alice is either tall or not curious then someone is both calm ... | Mary is not wise. | neutral | (![X]:((~calm(X)<~>humble(X))=>(happy(X)&~strong(X))))&
(![X]:((creative(X)&~funny(X))=>(generous(X)&~brave(X))))&
(((~creative(mary)&funny(mary)))<=>(?[X]:((~creative(X)<~>~generous(X)))))&
(((tall(alice)<~>~curious(alice)))<=>(?[X]:((calm(X)&~curious(X)))))&
((?[X]:((humble(X)|~generous(X))))<=>(~strong(fred)))&
(![X... | ~wise(mary) | [] | null | 0 |
Everyone who is not curious is both not rich and happy. Everyone who is not curious is generous and vice versa. If someone is both not humble and not curious then alice is rich or not calm. Everyone who is both not generous and brave is both not rich and happy and vice versa. If someone is both not brave and wise then ... | Fred is humble. | contradiction | (![X]:(~curious(X)=>(~rich(X)&happy(X))))&
(![X]:(~curious(X)<=>generous(X)))&
((?[X]:((~humble(X)&~curious(X))))=>((rich(alice)|~calm(alice))))&
(![X]:((~generous(X)&brave(X))<=>(~rich(X)&happy(X))))&
((?[X]:((~brave(X)&wise(X))))=>(?[X]:(humble(X))))&
(![X]:(~quiet(X)=>humble(X)))&
(![X]:((~curious(X)&~humble(X))=>(~... | humble(fred) | [
"p0",
"p1",
"p8",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1392998876593664246482480
% SZS output start Proof for 1392998876593664246482480
1. ! [X0] : (~curious(X0) => (happy(X0) & ~rich(X0))) [input p0]
2. ! [X0] : (~curious(X0) <=> generous(X0)) [input p1]
9. ! [X0] : (happy(X0) <=> (curious(X0) <~> ~strong(X0))) [input p8]
11. ! [X0] : ((~wis... | 0 |
Everyone who is either generous or curious is either not funny or rich and vice versa. Everyone who is brave or not brave is not funny or humble. Everyone who is either curious or kind is either not kind or not patient and vice versa. Everyone who is both not old and not kind is not strong and vice versa. Everyone who ... | Fred is not strong. | contradiction | (![X]:((generous(X)<~>curious(X))<=>(~funny(X)<~>rich(X))))&
(![X]:((brave(X)|~brave(X))=>(~funny(X)|humble(X))))&
(![X]:((curious(X)<~>kind(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((~old(X)&~kind(X))<=>~strong(X)))&
(![X]:(~tall(X)<=>(~old(X)&calm(X))))&
(![X]:((~curious(X)|~humble(X))=>rich(X)))&
(![X]:((~quiet(X)&wi... | ~strong(fred) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"p12",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7952327856495114875694493
% SZS output start Proof for 7952327856495114875694493
3. ! [X0] : ((curious(X0) <~> kind(X0)) <=> (~kind(X0) <~> ~patient(X0))) [input p2]
4. ! [X0] : ((~kind(X0) & ~old(X0)) <=> ~strong(X0)) [input p3]
5. ! [X0] : (~tall(X0) <=> (calm(X0) & ~old(X0))) [input p4... | 0 |
Everyone who is creative or not patient is both not generous and calm.
Everyone who is creative or not quiet is both happy and quiet and vice versa.
Everyone who is not generous is calm or not wise.
If susan is not wise then someone is not tall and vice versa.
If someone is either kind or humble then someone is not str... | Susan is tall. | entailment | (![X]:((creative(X)|~patient(X))=>(~generous(X)&calm(X))))&
(![X]:((creative(X)|~quiet(X))<=>(happy(X)&quiet(X))))&
(![X]:(~generous(X)=>(calm(X)|~wise(X))))&
((~wise(susan))<=>(?[X]:(~tall(X))))&
((?[X]:((kind(X)<~>humble(X))))<=>(?[X]:((~strong(X)|humble(X)))))&
(![X]:(~creative(X)<=>(generous(X)&~creative(X))))&
((?... | tall(susan) | [
"p0",
"p1",
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7244222775200178794712884
% SZS output start Proof for 7244222775200178794712884
1. ! [X0] : ((~patient(X0) | creative(X0)) => (calm(X0) & ~generous(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (quiet(X0) & happy(X0))) [input p1]
6. ! [X0] : (~creative(X0) <=> (~creative(... | 0 |
Everyone who is both kind and not strong is not creative or not tall. If someone is patient then someone is either not curious or not creative and vice versa. If john is either not happy or not kind then someone is tall and vice versa. If someone is not tall then someone is either not curious or not rich. If paul is ei... | John is quiet. | entailment | (![X]:((kind(X)&~strong(X))=>(~creative(X)|~tall(X))))&
((?[X]:(patient(X)))<=>(?[X]:((~curious(X)<~>~creative(X)))))&
(((~happy(john)<~>~kind(john)))<=>(?[X]:(tall(X))))&
((?[X]:(~tall(X)))=>(?[X]:((~curious(X)<~>~rich(X)))))&
(((humble(paul)<~>calm(paul)))<=>(?[X]:((old(X)&~strong(X)))))&
((?[X]:((~generous(X)<~>~cre... | quiet(john) | [
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3246689698466500523580812
% SZS output start Proof for 3246689698466500523580812
11. (happy(john) | ~tall(john)) <=> (quiet(john) & ~creative(john)) [input p10]
13. ! [X0] : ((happy(X0) <~> ~wise(X0)) <=> (~old(X0) | tall(X0))) [input p12]
19. quiet(john) | wise(john) [input p18]
25. ~qui... | 0 |
If someone is either humble or not old then lucy is both wise and humble and vice versa. If alice is not curious or not generous then paul is both humble and patient. Everyone who is not kind or not tall is quiet or creative and vice versa. If fred is not happy or not tall then someone is happy and vice versa. If susan... | John is generous. | contradiction | ((?[X]:((humble(X)<~>~old(X))))<=>((wise(lucy)&humble(lucy))))&
(((~curious(alice)|~generous(alice)))=>((humble(paul)&patient(paul))))&
(![X]:((~kind(X)|~tall(X))<=>(quiet(X)|creative(X))))&
(((~happy(fred)|~tall(fred)))<=>(?[X]:(happy(X))))&
(((wise(susan)|tall(susan)))=>(?[X]:(kind(X))))&
(![X]:((old(X)<~>~old(X))=>~... | generous(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1052542412297882480968201
% SZS output start Proof for 1052542412297882480968201
6. ! [X0] : ((old(X0) <~> ~old(X0)) => ~generous(X0)) [input p5]
24. generous(john) [input hypothesis]
28. ! [X0] : (~generous(X0) | (old(X0) <=> ~old(X0))) [ennf transformation 6]
51. ! [X0] : (~generous(X0)... | 0 |
Everyone who is not old or old is both funny and creative. Everyone who is curious or tall is happy and vice versa. Everyone who is both not old and patient is generous and vice versa. Everyone who is rich or patient is not patient or not strong and vice versa. Everyone who is either funny or happy is not patient. Ever... | Alice is not kind. | contradiction | (![X]:((~old(X)|old(X))=>(funny(X)&creative(X))))&
(![X]:((curious(X)|tall(X))<=>happy(X)))&
(![X]:((~old(X)&patient(X))<=>generous(X)))&
(![X]:((rich(X)|patient(X))<=>(~patient(X)|~strong(X))))&
(![X]:((funny(X)<~>happy(X))=>~patient(X)))&
(![X]:((brave(X)|~patient(X))<=>(~tall(X)|funny(X))))&
(![X]:((~strong(X)<~>~wi... | ~kind(alice) | [
"p0",
"p2",
"p3",
"p4",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5281355037327900739641860
% SZS output start Proof for 5281355037327900739641860
1. ! [X0] : ((old(X0) | ~old(X0)) => (creative(X0) & funny(X0))) [input p0]
3. ! [X0] : ((patient(X0) & ~old(X0)) <=> generous(X0)) [input p2]
4. ! [X0] : ((patient(X0) | rich(X0)) <=> (~strong(X0) | ~patient... | 0 |
Everyone who is both quiet and not brave is quiet or not generous and vice versa.
If someone is both not happy and wise then alice is calm or not kind and vice versa.
Everyone who is happy is both not wise and not rich and vice versa.
If john is quiet or humble then someone is old.
Everyone who is either not calm or cu... | John is humble. | neutral | (![X]:((quiet(X)&~brave(X))<=>(quiet(X)|~generous(X))))&
((?[X]:((~happy(X)&wise(X))))<=>((calm(alice)|~kind(alice))))&
(![X]:(happy(X)<=>(~wise(X)&~rich(X))))&
(((quiet(john)|humble(john)))=>(?[X]:(old(X))))&
(![X]:((~calm(X)<~>curious(X))<=>(patient(X)|~strong(X))))&
(![X]:((old(X)<~>~happy(X))=>(~patient(X)&~calm(X)... | humble(john) | [] | null | 0 |
If someone is either brave or not strong then fred is either not calm or not wise and vice versa. If fred is curious then someone is both not kind and strong. If someone is not rich then someone is funny or not generous and vice versa. If fred is either calm or strong then fred is creative or not strong. If paul is not... | Paul is funny. | neutral | ((?[X]:((brave(X)<~>~strong(X))))<=>((~calm(fred)<~>~wise(fred))))&
((curious(fred))=>(?[X]:((~kind(X)&strong(X)))))&
((?[X]:(~rich(X)))<=>(?[X]:((funny(X)|~generous(X)))))&
(((calm(fred)<~>strong(fred)))=>((creative(fred)|~strong(fred))))&
(((~humble(paul)|~rich(paul)))<=>(?[X]:((~strong(X)&~brave(X)))))&
(![X]:(~funn... | funny(paul) | [] | null | 0 |
Everyone who is either not curious or funny is both old and not creative. Everyone who is old or humble is creative. If someone is not curious then mary is either creative or not funny and vice versa. Everyone who is rich or old is both curious and not quiet and vice versa. If someone is both old and patient then alice... | Alice is not creative. | neutral | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|humble(X))=>creative(X)))&
((?[X]:(~curious(X)))<=>((creative(mary)<~>~funny(mary))))&
(![X]:((rich(X)|old(X))<=>(curious(X)&~quiet(X))))&
((?[X]:((old(X)&patient(X))))<=>((kind(alice)|curious(alice))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&k... | ~creative(alice) | [] | null | 0 |
Everyone who is both curious and kind is either not patient or happy.
Everyone who is either not curious or kind is both creative and not calm.
If someone is either wise or not rich then someone is humble or not calm.
Everyone who is tall is both not rich and not funny and vice versa.
Everyone who is either kind or not... | Fred is tall. | contradiction | (![X]:((curious(X)&kind(X))=>(~patient(X)<~>happy(X))))&
(![X]:((~curious(X)<~>kind(X))=>(creative(X)&~calm(X))))&
((?[X]:((wise(X)<~>~rich(X))))=>(?[X]:((humble(X)|~calm(X)))))&
(![X]:(tall(X)<=>(~rich(X)&~funny(X))))&
(![X]:((kind(X)<~>~creative(X))=>(~kind(X)|kind(X))))&
(![X]:((humble(X)&happy(X))<=>(~creative(X)<~... | tall(fred) | [
"p3",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6306540211484210870997427
% SZS output start Proof for 6306540211484210870997427
4. ! [X0] : (tall(X0) <=> (~funny(X0) & ~rich(X0))) [input p3]
10. ! [X0] : ((~curious(X0) <~> funny(X0)) <=> (~brave(X0) <~> curious(X0))) [input p9]
12. ! [X0] : (rich(X0) <=> (~wise(X0) | calm(X0))) [input... | 0 |
Everyone who is not old is not tall or calm and vice versa.
If fred is either not generous or tall then someone is not creative.
Everyone who is either not kind or funny is not funny.
Everyone who is not patient or old is not brave or quiet and vice versa.
If someone is creative or generous then someone is either not s... | Alice is not rich. | neutral | (![X]:(~old(X)<=>(~tall(X)|calm(X))))&
(((~generous(fred)<~>tall(fred)))=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)<~>funny(X))=>~funny(X)))&
(![X]:((~patient(X)|old(X))<=>(~brave(X)|quiet(X))))&
((?[X]:((creative(X)|generous(X))))<=>(?[X]:((~strong(X)<~>~creative(X)))))&
(![X]:((~happy(X)|~curious(X))<=>(generous(X)<~>... | ~rich(alice) | [] | null | 0 |
Everyone who is either wise or generous is quiet or strong and vice versa.
Everyone who is either not patient or old is both not kind and not old and vice versa.
If someone is both not humble and not tall then alice is kind.
Everyone who is both not rich and humble is not old.
Everyone who is not curious or not old is ... | Paul is not kind. | contradiction | (![X]:((wise(X)<~>generous(X))<=>(quiet(X)|strong(X))))&
(![X]:((~patient(X)<~>old(X))<=>(~kind(X)&~old(X))))&
((?[X]:((~humble(X)&~tall(X))))=>(kind(alice)))&
(![X]:((~rich(X)&humble(X))=>~old(X)))&
(![X]:((~curious(X)|~old(X))=>funny(X)))&
(![X]:((~happy(X)|~tall(X))<=>(~happy(X)|patient(X))))&
(![X]:((~kind(X)|~curi... | ~kind(paul) | [
"p1",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3250746489018928708910911
% SZS output start Proof for 3250746489018928708910911
2. ! [X0] : ((~patient(X0) <~> old(X0)) <=> (~old(X0) & ~kind(X0))) [input p1]
13. ! [X0] : ((curious(X0) & funny(X0)) <=> ~funny(X0)) [input p12]
20. curious(paul) <~> patient(paul) [input p19]
24. ~kind(pau... | 0 |
If paul is either not tall or calm then paul is both not patient and calm. If susan is not old then fred is both tall and not strong. If alice is either patient or old then someone is both not strong and humble. Everyone who is not strong is calm or brave and vice versa. Everyone who is both kind and calm is brave or s... | Mary is not patient. | contradiction | (((~tall(paul)<~>calm(paul)))=>((~patient(paul)&calm(paul))))&
((~old(susan))=>((tall(fred)&~strong(fred))))&
(((patient(alice)<~>old(alice)))=>(?[X]:((~strong(X)&humble(X)))))&
(![X]:(~strong(X)<=>(calm(X)|brave(X))))&
(![X]:((kind(X)&calm(X))<=>(brave(X)|strong(X))))&
(![X]:((happy(X)<~>~rich(X))=>quiet(X)))&
((?[X]:... | ~patient(mary) | [
"p3",
"p4",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2989638293316286597628345
% SZS output start Proof for 2989638293316286597628345
4. ! [X0] : (~strong(X0) <=> (brave(X0) | calm(X0))) [input p3]
5. ! [X0] : ((calm(X0) & kind(X0)) <=> (strong(X0) | brave(X0))) [input p4]
8. ! [X0] : ((~happy(X0) <~> ~strong(X0)) <=> (patient(X0) & ~brave(... | 0 |
If mary is not happy or brave then mary is rich.
Everyone who is humble or kind is not calm.
Everyone who is not kind or wise is both curious and funny.
Everyone who is either funny or not funny is either not wise or brave.
Everyone who is humble or quiet is not humble or happy.
Everyone who is not generous is not rich... | John is happy. | contradiction | (((~happy(mary)|brave(mary)))=>(rich(mary)))&
(![X]:((humble(X)|kind(X))=>~calm(X)))&
(![X]:((~kind(X)|wise(X))=>(curious(X)&funny(X))))&
(![X]:((funny(X)<~>~funny(X))=>(~wise(X)<~>brave(X))))&
(![X]:((humble(X)|quiet(X))=>(~humble(X)|happy(X))))&
(![X]:(~generous(X)<=>(~rich(X)|~old(X))))&
(![X]:((rich(X)<~>brave(X))=... | happy(john) | [
"p1",
"p2",
"p5",
"p9",
"p12",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8081060248484333239617883
% SZS output start Proof for 8081060248484333239617883
2. ! [X0] : ((kind(X0) | humble(X0)) => ~calm(X0)) [input p1]
3. ! [X0] : ((wise(X0) | ~kind(X0)) => (funny(X0) & curious(X0))) [input p2]
6. ! [X0] : (~generous(X0) <=> (~old(X0) | ~rich(X0))) [input p5]
10.... | 0 |
Everyone who is both not rich and not humble is either old or rich and vice versa. If someone is either not humble or kind then alice is not happy or not humble. Everyone who is calm or not brave is not old. Everyone who is both not calm and patient is not strong or not tall and vice versa. If john is both not brave an... | Susan is strong. | entailment | (![X]:((~rich(X)&~humble(X))<=>(old(X)<~>rich(X))))&
((?[X]:((~humble(X)<~>kind(X))))=>((~happy(alice)|~humble(alice))))&
(![X]:((calm(X)|~brave(X))=>~old(X)))&
(![X]:((~calm(X)&patient(X))<=>(~strong(X)|~tall(X))))&
(((~brave(john)&rich(john)))<=>(?[X]:((patient(X)|~strong(X)))))&
(((~quiet(alice)<~>generous(alice)))<... | strong(susan) | [
"p0",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1796731862387861050479798
% SZS output start Proof for 1796731862387861050479798
1. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> (old(X0) <~> rich(X0))) [input p0]
3. ! [X0] : ((~brave(X0) | calm(X0)) => ~old(X0)) [input p2]
5. (rich(john) & ~brave(john)) <=> ? [X0] : (~strong(X0) | patient(X0... | 0 |
Everyone who is old is funny and vice versa.
Everyone who is either not humble or humble is either not patient or kind and vice versa.
Everyone who is tall or not tall is either not wise or curious and vice versa.
If paul is either generous or not rich then fred is patient and vice versa.
If alice is both not wise and ... | John is happy. | entailment | (![X]:(old(X)<=>funny(X)))&
(![X]:((~humble(X)<~>humble(X))<=>(~patient(X)<~>kind(X))))&
(![X]:((tall(X)|~tall(X))<=>(~wise(X)<~>curious(X))))&
(((generous(paul)<~>~rich(paul)))<=>(patient(fred)))&
(((~wise(alice)&~patient(alice)))=>(?[X]:((~happy(X)|~curious(X)))))&
(![X]:((~generous(X)<~>~strong(X))<=>(strong(X)|~tal... | happy(john) | [
"p1",
"p5",
"p7",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 549177342995364871502513
% SZS output start Proof for 549177342995364871502513
2. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~patient(X0) <~> kind(X0))) [input p1]
6. ! [X0] : ((~generous(X0) <~> ~strong(X0)) <=> (~tall(X0) | strong(X0))) [input p5]
8. ! [X0] : (~tall(X0) => (patient(X0)... | 0 |
If someone is not rich or not kind then someone is either rich or happy and vice versa.
Everyone who is both not kind and wise is either not strong or kind.
Everyone who is happy or not funny is funny or not calm.
Everyone who is both not strong and funny is happy or not generous and vice versa.
If someone is either no... | Paul is happy. | contradiction | ((?[X]:((~rich(X)|~kind(X))))<=>(?[X]:((rich(X)<~>happy(X)))))&
(![X]:((~kind(X)&wise(X))=>(~strong(X)<~>kind(X))))&
(![X]:((happy(X)|~funny(X))=>(funny(X)|~calm(X))))&
(![X]:((~strong(X)&funny(X))<=>(happy(X)|~generous(X))))&
((?[X]:((~curious(X)<~>~funny(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~wise(X)<~>tall(X))<=>(crea... | happy(paul) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 244084682638026794308571
% SZS output start Proof for 244084682638026794308571
19. ~happy(paul) [input p18]
25. happy(paul) [input hypothesis]
156. ~happy(paul) [cnf transformation 19]
166. happy(paul) [cnf transformation 25]
311. 32 <=> happy(paul) [avatar definition]
376. ~32 [avatar sp... | 0 |
Everyone who is wise or patient is either humble or not wise and vice versa.
If mary is both not rich and wise then someone is either not calm or strong and vice versa.
If someone is either quiet or not calm then someone is both generous and not strong and vice versa.
If someone is not generous then someone is tall or ... | John is quiet. | entailment | (![X]:((wise(X)|patient(X))<=>(humble(X)<~>~wise(X))))&
(((~rich(mary)&wise(mary)))<=>(?[X]:((~calm(X)<~>strong(X)))))&
((?[X]:((quiet(X)<~>~calm(X))))<=>(?[X]:((generous(X)&~strong(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((tall(X)|curious(X)))))&
((~tall(john))=>(?[X]:(~humble(X))))&
(![X]:((~generous(X)|~tall(X))=>(~t... | quiet(john) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5274939946982767410432764
% SZS output start Proof for 5274939946982767410432764
1. ! [X0] : ((patient(X0) | wise(X0)) <=> (humble(X0) <~> ~wise(X0))) [input p0]
7. ? [X0] : ~quiet(X0) => ? [X0] : (~humble(X0) & ~patient(X0)) [input p6]
25. ~quiet(john) [input hypothesis]
28. ? [X0] : ~qu... | 0 |
Everyone who is either calm or not rich is both kind and not quiet. If mary is curious or rich then susan is not wise and vice versa. If someone is not wise or not calm then alice is not wise. Everyone who is either not brave or not funny is creative. Everyone who is both not generous and funny is kind or not rich. Eve... | Susan is not rich. | neutral | (![X]:((calm(X)<~>~rich(X))=>(kind(X)&~quiet(X))))&
(((curious(mary)|rich(mary)))<=>(~wise(susan)))&
((?[X]:((~wise(X)|~calm(X))))=>(~wise(alice)))&
(![X]:((~brave(X)<~>~funny(X))=>creative(X)))&
(![X]:((~generous(X)&funny(X))=>(kind(X)|~rich(X))))&
(![X]:((~wise(X)|happy(X))<=>(kind(X)&~creative(X))))&
(![X]:((~strong... | ~rich(susan) | [] | null | 0 |
Everyone who is both happy and funny is not happy.
Everyone who is both not humble and not kind is both not curious and tall.
Everyone who is not old or rich is not quiet and vice versa.
If fred is either kind or not old then lucy is either quiet or not humble.
Everyone who is old or not patient is both rich and not cr... | Lucy is not quiet. | entailment | (![X]:((happy(X)&funny(X))=>~happy(X)))&
(![X]:((~humble(X)&~kind(X))=>(~curious(X)&tall(X))))&
(![X]:((~old(X)|rich(X))<=>~quiet(X)))&
(((kind(fred)<~>~old(fred)))=>((quiet(lucy)<~>~humble(lucy))))&
(![X]:((old(X)|~patient(X))<=>(rich(X)&~creative(X))))&
(![X]:((humble(X)&~kind(X))=>(~wise(X)|~rich(X))))&
(![X]:(~tall... | ~quiet(lucy) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5185516146021495350909356
% SZS output start Proof for 5185516146021495350909356
3. ! [X0] : ((rich(X0) | ~old(X0)) <=> ~quiet(X0)) [input p2]
5. ! [X0] : ((~patient(X0) | old(X0)) <=> (~creative(X0) & rich(X0))) [input p4]
25. quiet(lucy) [input hypothesis]
40. ! [X0] : (((rich(X0) | ~ol... | 0 |
Everyone who is strong is either not strong or not tall and vice versa.
If susan is either strong or old then someone is tall.
Everyone who is either not brave or not creative is either happy or not happy.
Everyone who is not curious or not brave is either kind or calm and vice versa.
Everyone who is not quiet or happy... | Lucy is not wise. | contradiction | (![X]:(strong(X)<=>(~strong(X)<~>~tall(X))))&
(((strong(susan)<~>old(susan)))=>(?[X]:(tall(X))))&
(![X]:((~brave(X)<~>~creative(X))=>(happy(X)<~>~happy(X))))&
(![X]:((~curious(X)|~brave(X))<=>(kind(X)<~>calm(X))))&
(![X]:((~quiet(X)|happy(X))<=>(tall(X)|~funny(X))))&
(![X]:((~happy(X)|wise(X))=>(~wise(X)<~>~generous(X)... | ~wise(lucy) | [
"p0",
"p4",
"p7",
"p8",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7548241399329534879716551
% SZS output start Proof for 7548241399329534879716551
1. ! [X0] : (strong(X0) <=> (~strong(X0) <~> ~tall(X0))) [input p0]
5. ! [X0] : ((happy(X0) | ~quiet(X0)) <=> (~funny(X0) | tall(X0))) [input p4]
8. ! [X0] : ((~patient(X0) & rich(X0)) <=> (wise(X0) | ~rich(X... | 0 |
If someone is both kind and not strong then someone is patient.
If someone is happy then someone is not rich or brave.
Everyone who is either not tall or not brave is both not brave and not old and vice versa.
If someone is not quiet or generous then someone is generous or kind and vice versa.
Everyone who is kind or h... | Lucy is generous. | entailment | ((?[X]:((kind(X)&~strong(X))))=>(?[X]:(patient(X))))&
((?[X]:(happy(X)))=>(?[X]:((~rich(X)|brave(X)))))&
(![X]:((~tall(X)<~>~brave(X))<=>(~brave(X)&~old(X))))&
((?[X]:((~quiet(X)|generous(X))))<=>(?[X]:((generous(X)|kind(X)))))&
(![X]:((kind(X)|humble(X))=>(~quiet(X)&kind(X))))&
((?[X]:((~strong(X)|~funny(X))))<=>(?[X]... | generous(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 413579364322487147536426
% SZS output start Proof for 413579364322487147536426
13. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (~generous(X0) | happy(X0))) [input p12]
25. ~generous(lucy) [input hypothesis]
78. ! [X0] : (((calm(X0) & ~calm(X0)) | (generous(X0) & ~happy(X0))) & ((~generous(X0) | ... | 0 |
Everyone who is either not tall or happy is either not tall or strong and vice versa. Everyone who is funny is either not curious or tall and vice versa. If susan is curious then susan is both funny and not humble and vice versa. Everyone who is not funny is tall. Everyone who is either patient or old is both rich and ... | Paul is not humble. | neutral | (![X]:((~tall(X)<~>happy(X))<=>(~tall(X)<~>strong(X))))&
(![X]:(funny(X)<=>(~curious(X)<~>tall(X))))&
((curious(susan))<=>((funny(susan)&~humble(susan))))&
(![X]:(~funny(X)=>tall(X)))&
(![X]:((patient(X)<~>old(X))=>(rich(X)&wise(X))))&
((?[X]:((rich(X)&happy(X))))<=>(?[X]:(strong(X))))&
(![X]:((~kind(X)|~tall(X))=>wise... | ~humble(paul) | [] | null | 0 |
Everyone who is both not humble and not kind is either not old or not wise and vice versa.
Everyone who is not creative is either calm or not funny.
Everyone who is not tall is not curious or not strong and vice versa.
If alice is funny then mary is strong or patient.
Everyone who is either old or not creative is eithe... | Susan is not humble. | contradiction | (![X]:((~humble(X)&~kind(X))<=>(~old(X)<~>~wise(X))))&
(![X]:(~creative(X)=>(calm(X)<~>~funny(X))))&
(![X]:(~tall(X)<=>(~curious(X)|~strong(X))))&
((funny(alice))=>((strong(mary)|patient(mary))))&
(![X]:((old(X)<~>~creative(X))=>(strong(X)<~>~wise(X))))&
(![X]:((funny(X)&~quiet(X))<=>(humble(X)|creative(X))))&
(![X]:((... | ~humble(susan) | [
"p0",
"p2",
"p4",
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8896575605350948082148550
% SZS output start Proof for 8896575605350948082148550
1. ! [X0] : ((~kind(X0) & ~humble(X0)) <=> (~old(X0) <~> ~wise(X0))) [input p0]
3. ! [X0] : (~tall(X0) <=> (~strong(X0) | ~curious(X0))) [input p2]
5. ! [X0] : ((old(X0) <~> ~creative(X0)) => (strong(X0) <~> ... | 0 |
Everyone who is either not humble or not wise is either curious or not humble.
If someone is either not calm or not happy then susan is either generous or not curious and vice versa.
Everyone who is both generous and not old is either strong or not kind and vice versa.
Everyone who is either old or not strong is old or... | Lucy is not tall. | contradiction | (![X]:((~humble(X)<~>~wise(X))=>(curious(X)<~>~humble(X))))&
((?[X]:((~calm(X)<~>~happy(X))))<=>((generous(susan)<~>~curious(susan))))&
(![X]:((generous(X)&~old(X))<=>(strong(X)<~>~kind(X))))&
(![X]:((old(X)<~>~strong(X))<=>(old(X)|brave(X))))&
(![X]:((~quiet(X)<~>quiet(X))<=>(wise(X)&tall(X))))&
((?[X]:((wise(X)&kind(... | ~tall(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3682528275382493733384421
% SZS output start Proof for 3682528275382493733384421
5. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (tall(X0) & wise(X0))) [input p4]
20. ~tall(lucy) [input hypothesis]
37. ! [X0] : ((((~quiet(X0) | quiet(X0)) & (quiet(X0) | ~quiet(X0))) | (~tall(X0) | ~wise(X0)))... | 0 |
Everyone who is creative or wise is rich or wise and vice versa. If paul is creative then alice is not humble or not curious. If someone is not kind or happy then john is rich and vice versa. Everyone who is both brave and quiet is either curious or not patient and vice versa. If someone is both old and curious then so... | Alice is tall. | entailment | (![X]:((creative(X)|wise(X))<=>(rich(X)|wise(X))))&
((creative(paul))=>((~humble(alice)|~curious(alice))))&
((?[X]:((~kind(X)|happy(X))))<=>(rich(john)))&
(![X]:((brave(X)&quiet(X))<=>(curious(X)<~>~patient(X))))&
((?[X]:((old(X)&curious(X))))<=>(?[X]:((generous(X)&strong(X)))))&
(![X]:(kind(X)=>tall(X)))&
(![X]:(calm(... | tall(alice) | [
"p2",
"p5",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1965012225798703678886523
% SZS output start Proof for 1965012225798703678886523
3. ? [X0] : (happy(X0) | ~kind(X0)) <=> rich(john) [input p2]
6. ! [X0] : (kind(X0) => tall(X0)) [input p5]
7. ! [X0] : (calm(X0) => (~brave(X0) | ~old(X0))) [input p6]
9. ! [X0] : ((brave(X0) <~> rich(X0)) <... | 0 |
If susan is not quiet then someone is strong and vice versa. If someone is either not patient or calm then someone is either calm or funny. Everyone who is not curious or not creative is both not happy and curious. Everyone who is not rich is both not quiet and not calm and vice versa. Everyone who is tall or curious i... | Fred is not rich. | contradiction | ((~quiet(susan))<=>(?[X]:(strong(X))))&
((?[X]:((~patient(X)<~>calm(X))))=>(?[X]:((calm(X)<~>funny(X)))))&
(![X]:((~curious(X)|~creative(X))=>(~happy(X)&curious(X))))&
(![X]:(~rich(X)<=>(~quiet(X)&~calm(X))))&
(![X]:((tall(X)|curious(X))=>(calm(X)<~>~kind(X))))&
(![X]:((strong(X)|~calm(X))=>(curious(X)<~>strong(X))))&
... | ~rich(fred) | [
"p0",
"p2",
"p5",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1586097327758530103263864
% SZS output start Proof for 1586097327758530103263864
1. ~quiet(susan) <=> ? [X0] : strong(X0) [input p0]
3. ! [X0] : ((~creative(X0) | ~curious(X0)) => (curious(X0) & ~happy(X0))) [input p2]
6. ! [X0] : ((~calm(X0) | strong(X0)) => (curious(X0) <~> strong(X0)))... | 0 |
If john is not quiet then someone is not brave or tall.
If someone is not creative or humble then paul is both not calm and not patient.
Everyone who is strong or humble is not quiet or curious and vice versa.
If john is not old or patient then someone is both brave and old.
If someone is either strong or not happy the... | Susan is brave. | neutral | ((~quiet(john))=>(?[X]:((~brave(X)|tall(X)))))&
((?[X]:((~creative(X)|humble(X))))=>((~calm(paul)&~patient(paul))))&
(![X]:((strong(X)|humble(X))<=>(~quiet(X)|curious(X))))&
(((~old(john)|patient(john)))=>(?[X]:((brave(X)&old(X)))))&
((?[X]:((strong(X)<~>~happy(X))))<=>((quiet(paul)|kind(paul))))&
(((~tall(paul)&~patie... | brave(susan) | [] | null | 0 |
If fred is calm then lucy is either not patient or humble and vice versa.
Everyone who is not humble or not rich is both creative and kind and vice versa.
If someone is not creative then fred is either not tall or not brave.
If someone is either brave or creative then someone is not quiet or not brave.
If someone is no... | Susan is not calm. | contradiction | ((calm(fred))<=>((~patient(lucy)<~>humble(lucy))))&
(![X]:((~humble(X)|~rich(X))<=>(creative(X)&kind(X))))&
((?[X]:(~creative(X)))=>((~tall(fred)<~>~brave(fred))))&
((?[X]:((brave(X)<~>creative(X))))=>(?[X]:((~quiet(X)|~brave(X)))))&
((?[X]:(~humble(X)))<=>(?[X]:((~wise(X)<~>generous(X)))))&
(![X]:((~funny(X)|~generous... | ~calm(susan) | [
"p5",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3565571843104553586335865
% SZS output start Proof for 3565571843104553586335865
6. ! [X0] : ((~generous(X0) | ~funny(X0)) => ~brave(X0)) [input p5]
12. ! [X0] : ((~funny(X0) & ~kind(X0)) <=> (generous(X0) | strong(X0))) [input p11]
16. ? [X0] : (~calm(X0) | brave(X0)) => (creative(paul) ... | 0 |
If someone is rich or not old then alice is either old or wise and vice versa.
Everyone who is either kind or quiet is both not patient and calm.
Everyone who is humble or old is old or not brave and vice versa.
Everyone who is not strong or not patient is not funny and vice versa.
Everyone who is not calm or calm is n... | Susan is not tall. | entailment | ((?[X]:((rich(X)|~old(X))))<=>((old(alice)<~>wise(alice))))&
(![X]:((kind(X)<~>quiet(X))=>(~patient(X)&calm(X))))&
(![X]:((humble(X)|old(X))<=>(old(X)|~brave(X))))&
(![X]:((~strong(X)|~patient(X))<=>~funny(X)))&
(![X]:((~calm(X)|calm(X))=>~happy(X)))&
(![X]:((~calm(X)<~>~kind(X))<=>(~rich(X)|~generous(X))))&
(((~happy(... | ~tall(susan) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7244403963841996945191155
% SZS output start Proof for 7244403963841996945191155
5. ! [X0] : ((calm(X0) | ~calm(X0)) => ~happy(X0)) [input p4]
11. ? [X0] : happy(X0) <=> ? [X0] : tall(X0) [input p10]
25. tall(susan) [input hypothesis]
27. ? [X0] : happy(X0) <=> ? [X1] : tall(X1) [rectify ... | 0 |
Everyone who is either humble or wise is both not funny and strong. If mary is both not rich and brave then someone is not creative. If lucy is not curious or not quiet then alice is not wise or not old. If alice is old then someone is not creative and vice versa. Everyone who is not funny or generous is not calm. Ever... | Susan is not tall. | contradiction | (![X]:((humble(X)<~>wise(X))=>(~funny(X)&strong(X))))&
(((~rich(mary)&brave(mary)))=>(?[X]:(~creative(X))))&
(((~curious(lucy)|~quiet(lucy)))=>((~wise(alice)|~old(alice))))&
((old(alice))<=>(?[X]:(~creative(X))))&
(![X]:((~funny(X)|generous(X))=>~calm(X)))&
(![X]:((curious(X)<~>funny(X))<=>(brave(X)<~>quiet(X))))&
((?[... | ~tall(susan) | [
"p4",
"p6",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 812515384966005696667286
% SZS output start Proof for 812515384966005696667286
5. ! [X0] : ((generous(X0) | ~funny(X0)) => ~calm(X0)) [input p4]
7. ? [X0] : (~generous(X0) | quiet(X0)) <=> (~quiet(susan) & tall(susan)) [input p6]
14. ? [X0] : patient(X0) <=> ? [X0] : (~wise(X0) & calm(X0)... | 0 |
Everyone who is patient or not calm is both not quiet and old and vice versa.
Everyone who is both not kind and not curious is kind or not curious and vice versa.
If mary is brave or not curious then paul is both quiet and not quiet.
Everyone who is not wise is not quiet or wise and vice versa.
Everyone who is both not... | Fred is not rich. | contradiction | (![X]:((patient(X)|~calm(X))<=>(~quiet(X)&old(X))))&
(![X]:((~kind(X)&~curious(X))<=>(kind(X)|~curious(X))))&
(((brave(mary)|~curious(mary)))=>((quiet(paul)&~quiet(paul))))&
(![X]:(~wise(X)<=>(~quiet(X)|wise(X))))&
(![X]:((~rich(X)&kind(X))<=>(strong(X)<~>humble(X))))&
((patient(mary))=>(rich(fred)))&
(![X]:((~brave(X)... | ~rich(fred) | [
"p1",
"p3",
"p8",
"p9",
"p12",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2536870880098331926516096
% SZS output start Proof for 2536870880098331926516096
2. ! [X0] : ((~curious(X0) & ~kind(X0)) <=> (~curious(X0) | kind(X0))) [input p1]
4. ! [X0] : (~wise(X0) <=> (wise(X0) | ~quiet(X0))) [input p3]
9. ! [X0] : ((~tall(X0) <~> ~curious(X0)) <=> ~brave(X0)) [inpu... | 0 |
If someone is either not old or patient then john is creative or not quiet and vice versa. Everyone who is calm or tall is not tall. If paul is not strong or creative then someone is either quiet or not curious and vice versa. Everyone who is not brave or quiet is both not generous and funny. Everyone who is either qui... | Fred is not old. | contradiction | ((?[X]:((~old(X)<~>patient(X))))<=>((creative(john)|~quiet(john))))&
(![X]:((calm(X)|tall(X))=>~tall(X)))&
(((~strong(paul)|creative(paul)))<=>(?[X]:((quiet(X)<~>~curious(X)))))&
(![X]:((~brave(X)|quiet(X))=>(~generous(X)&funny(X))))&
(![X]:((quiet(X)<~>creative(X))<=>(strong(X)&~wise(X))))&
(![X]:((old(X)<~>~old(X))<=... | ~old(fred) | [
"p2",
"p3",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5380436111108339287703278
% SZS output start Proof for 5380436111108339287703278
3. (creative(paul) | ~strong(paul)) <=> ? [X0] : (quiet(X0) <~> ~curious(X0)) [input p2]
4. ! [X0] : ((quiet(X0) | ~brave(X0)) => (funny(X0) & ~generous(X0))) [input p3]
8. ! [X0] : (~happy(X0) <=> (~creative... | 0 |
If lucy is not generous then lucy is old or calm and vice versa.
If someone is old or quiet then lucy is either patient or not creative.
Everyone who is old or patient is old and vice versa.
Everyone who is not curious or wise is happy and vice versa.
Everyone who is not brave or rich is both kind and brave.
Everyone w... | Lucy is not brave. | contradiction | ((~generous(lucy))<=>((old(lucy)|calm(lucy))))&
((?[X]:((old(X)|quiet(X))))=>((patient(lucy)<~>~creative(lucy))))&
(![X]:((old(X)|patient(X))<=>old(X)))&
(![X]:((~curious(X)|wise(X))<=>happy(X)))&
(![X]:((~brave(X)|rich(X))=>(kind(X)&brave(X))))&
(![X]:((funny(X)<~>creative(X))=>(calm(X)&~kind(X))))&
(![X]:((~patient(X... | ~brave(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6126375196143457803716479
% SZS output start Proof for 6126375196143457803716479
5. ! [X0] : ((rich(X0) | ~brave(X0)) => (brave(X0) & kind(X0))) [input p4]
23. ~brave(lucy) [input hypothesis]
28. ! [X0] : ((brave(X0) & kind(X0)) | (~rich(X0) & brave(X0))) [ennf transformation 5]
81. brave... | 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... | Alice is not curious. | 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)|... | ~curious(alice) | [] | null | 0 |
If someone is either wise or not rich then someone is both generous and not creative.
Everyone who is not happy is not brave.
If someone is either not creative or patient then someone is not humble and vice versa.
If lucy is either not funny or wise then susan is either not patient or strong.
If alice is not curious th... | Alice is tall. | entailment | ((?[X]:((wise(X)<~>~rich(X))))=>(?[X]:((generous(X)&~creative(X)))))&
(![X]:(~happy(X)=>~brave(X)))&
((?[X]:((~creative(X)<~>patient(X))))<=>(?[X]:(~humble(X))))&
(((~funny(lucy)<~>wise(lucy)))=>((~patient(susan)<~>strong(susan))))&
((~curious(alice))=>((~creative(susan)|~humble(susan))))&
((?[X]:((quiet(X)|~tall(X))))... | tall(alice) | [
"p7",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5947196017913932260237125
% SZS output start Proof for 5947196017913932260237125
8. ! [X0] : (tall(X0) <=> (~curious(X0) | creative(X0))) [input p7]
12. ! [X0] : ((rich(X0) & kind(X0)) <=> (quiet(X0) <~> ~quiet(X0))) [input p11]
13. ! [X0] : ((generous(X0) <~> ~happy(X0)) <=> (happy(X0) <... | 0 |
Everyone who is both patient and not funny is not rich or rich and vice versa.
Everyone who is not creative or not quiet is either not calm or funny and vice versa.
Everyone who is both tall and rich is either not wise or not funny.
If paul is not humble then fred is either happy or tall.
If alice is either not kind or... | Paul is not brave. | contradiction | (![X]:((patient(X)&~funny(X))<=>(~rich(X)|rich(X))))&
(![X]:((~creative(X)|~quiet(X))<=>(~calm(X)<~>funny(X))))&
(![X]:((tall(X)&rich(X))=>(~wise(X)<~>~funny(X))))&
((~humble(paul))=>((happy(fred)<~>tall(fred))))&
(((~kind(alice)<~>~rich(alice)))<=>(?[X]:((brave(X)<~>rich(X)))))&
((?[X]:((~old(X)<~>~patient(X))))<=>((~... | ~brave(paul) | [
"p0",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3845249887644299689904278
% SZS output start Proof for 3845249887644299689904278
1. ! [X0] : ((~funny(X0) & patient(X0)) <=> (rich(X0) | ~rich(X0))) [input p0]
11. ! [X0] : ((happy(X0) & funny(X0)) <=> (curious(X0) <~> brave(X0))) [input p10]
20. curious(paul) & ~kind(paul) [input p19]
23... | 0 |
Everyone who is strong or not curious is both not creative and tall and vice versa.
Everyone who is both not humble and generous is both humble and not creative and vice versa.
Everyone who is either happy or not old is both not tall and not old.
Everyone who is either creative or patient is either not funny or funny a... | Fred is humble. | neutral | (![X]:((strong(X)|~curious(X))<=>(~creative(X)&tall(X))))&
(![X]:((~humble(X)&generous(X))<=>(humble(X)&~creative(X))))&
(![X]:((happy(X)<~>~old(X))=>(~tall(X)&~old(X))))&
(![X]:((creative(X)<~>patient(X))<=>(~funny(X)<~>funny(X))))&
((?[X]:((brave(X)&generous(X))))=>((brave(alice)<~>kind(alice))))&
(![X]:((~funny(X)&s... | humble(fred) | [] | null | 0 |
Everyone who is either not curious or kind is both old and funny. If someone is creative then someone is patient or not humble and vice versa. Everyone who is not creative is both humble and not rich. If someone is either not happy or generous then someone is not patient or calm. Everyone who is brave is both not kind ... | Paul is not strong. | neutral | (![X]:((~curious(X)<~>kind(X))=>(old(X)&funny(X))))&
((?[X]:(creative(X)))<=>(?[X]:((patient(X)|~humble(X)))))&
(![X]:(~creative(X)=>(humble(X)&~rich(X))))&
((?[X]:((~happy(X)<~>generous(X))))=>(?[X]:((~patient(X)|calm(X)))))&
(![X]:(brave(X)=>(~kind(X)&~happy(X))))&
(![X]:((brave(X)<~>patient(X))<=>patient(X)))&
(![X]... | ~strong(paul) | [] | null | 0 |
If fred is either kind or not old then john is both happy and not creative and vice versa.
Everyone who is either not patient or wise is not old or not strong and vice versa.
Everyone who is both creative and wise is either not happy or not generous and vice versa.
If lucy is both not curious and not kind then lucy is ... | Susan is generous. | contradiction | (((kind(fred)<~>~old(fred)))<=>((happy(john)&~creative(john))))&
(![X]:((~patient(X)<~>wise(X))<=>(~old(X)|~strong(X))))&
(![X]:((creative(X)&wise(X))<=>(~happy(X)<~>~generous(X))))&
(((~curious(lucy)&~kind(lucy)))<=>((brave(lucy)&~strong(lucy))))&
(((~calm(alice)<~>~old(alice)))=>((~quiet(lucy)&old(lucy))))&
(![X]:((~... | generous(susan) | [
"p1",
"p2",
"p5",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2192969653173370313972924
% SZS output start Proof for 2192969653173370313972924
2. ! [X0] : ((~patient(X0) <~> wise(X0)) <=> (~strong(X0) | ~old(X0))) [input p1]
3. ! [X0] : ((wise(X0) & creative(X0)) <=> (~happy(X0) <~> ~generous(X0))) [input p2]
6. ! [X0] : ((~strong(X0) | ~happy(X0)) ... | 0 |
If paul is not generous then lucy is not happy or rich.
Everyone who is not quiet or rich is patient.
Everyone who is both not old and happy is both not wise and patient and vice versa.
If john is either not happy or creative then someone is not brave or not tall.
Everyone who is either not funny or not creative is eit... | John is rich. | contradiction | ((~generous(paul))=>((~happy(lucy)|rich(lucy))))&
(![X]:((~quiet(X)|rich(X))=>patient(X)))&
(![X]:((~old(X)&happy(X))<=>(~wise(X)&patient(X))))&
(((~happy(john)<~>creative(john)))=>(?[X]:((~brave(X)|~tall(X)))))&
(![X]:((~funny(X)<~>~creative(X))<=>(~brave(X)<~>wise(X))))&
((?[X]:((rich(X)|wise(X))))<=>(?[X]:((~brave(X... | rich(john) | [
"p1",
"p5",
"p7",
"p8",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5555866801260635619427920
% SZS output start Proof for 5555866801260635619427920
2. ! [X0] : ((rich(X0) | ~quiet(X0)) => patient(X0)) [input p1]
6. ? [X0] : (wise(X0) | rich(X0)) <=> ? [X0] : (~brave(X0) <~> ~wise(X0)) [input p5]
8. (kind(mary) & humble(mary)) <=> ? [X0] : quiet(X0) [inpu... | 0 |
Everyone who is either generous or curious is wise.
Everyone who is either calm or kind is both tall and rich.
If someone is either humble or not kind then someone is humble or not wise and vice versa.
Everyone who is not happy is either not brave or patient and vice versa.
If someone is not happy or strong then fred i... | Alice is funny. | neutral | (![X]:((generous(X)<~>curious(X))=>wise(X)))&
(![X]:((calm(X)<~>kind(X))=>(tall(X)&rich(X))))&
((?[X]:((humble(X)<~>~kind(X))))<=>(?[X]:((humble(X)|~wise(X)))))&
(![X]:(~happy(X)<=>(~brave(X)<~>patient(X))))&
((?[X]:((~happy(X)|strong(X))))=>((wise(fred)|~generous(fred))))&
((?[X]:((brave(X)<~>happy(X))))=>((~quiet(joh... | funny(alice) | [] | null | 0 |
If john is both calm and not strong then someone is either not curious or tall and vice versa.
Everyone who is either creative or not quiet is quiet or not quiet.
If someone is tall then john is wise.
If someone is happy then someone is not generous.
If alice is not humble then someone is either not rich or strong.
If ... | Paul is not wise. | neutral | (((calm(john)&~strong(john)))<=>(?[X]:((~curious(X)<~>tall(X)))))&
(![X]:((creative(X)<~>~quiet(X))=>(quiet(X)|~quiet(X))))&
((?[X]:(tall(X)))=>(wise(john)))&
((?[X]:(happy(X)))=>(?[X]:(~generous(X))))&
((~humble(alice))=>(?[X]:((~rich(X)<~>strong(X)))))&
((?[X]:(~wise(X)))<=>((~creative(alice)<~>creative(alice))))&
(!... | ~wise(paul) | [] | null | 0 |
Everyone who is both not brave and not happy is not brave or quiet.
If someone is either calm or not patient then fred is both not creative and happy and vice versa.
If someone is both tall and not brave then john is brave or not wise and vice versa.
Everyone who is brave is wise or happy and vice versa.
If someone is ... | John is calm. | entailment | (![X]:((~brave(X)&~happy(X))=>(~brave(X)|quiet(X))))&
((?[X]:((calm(X)<~>~patient(X))))<=>((~creative(fred)&happy(fred))))&
((?[X]:((tall(X)&~brave(X))))<=>((brave(john)|~wise(john))))&
(![X]:(brave(X)<=>(wise(X)|happy(X))))&
((?[X]:(~funny(X)))=>(?[X]:(rich(X))))&
(![X]:((wise(X)|rich(X))<=>(strong(X)&kind(X))))&
(![X... | calm(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 821056372109735356128055
% SZS output start Proof for 821056372109735356128055
8. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> rich(X0)) [input p7]
23. ~calm(john) [input hypothesis]
56. ! [X0] : ((((~calm(X0) | rich(X0)) & (calm(X0) | ~rich(X0))) | ~rich(X0)) & (rich(X0) | ((~rich(X0) | ~calm(... | 0 |
Everyone who is kind or not wise is not quiet.
Everyone who is quiet is rich and vice versa.
Everyone who is either not humble or humble is both wise and not quiet and vice versa.
If paul is both kind and patient then someone is curious or not quiet.
Everyone who is not humble is not funny or not brave and vice versa.
... | Lucy is not humble. | entailment | (![X]:((kind(X)|~wise(X))=>~quiet(X)))&
(![X]:(quiet(X)<=>rich(X)))&
(![X]:((~humble(X)<~>humble(X))<=>(wise(X)&~quiet(X))))&
(((kind(paul)&patient(paul)))=>(?[X]:((curious(X)|~quiet(X)))))&
(![X]:(~humble(X)<=>(~funny(X)|~brave(X))))&
(((patient(alice)<~>calm(alice)))<=>(?[X]:((~funny(X)|old(X)))))&
(((~tall(paul)<~>~... | ~humble(lucy) | [
"p1",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 518131755696707568159466
% SZS output start Proof for 518131755696707568159466
2. ! [X0] : (quiet(X0) <=> rich(X0)) [input p1]
3. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~quiet(X0) & wise(X0))) [input p2]
11. ! [X0] : (humble(X0) => (~happy(X0) & rich(X0))) [input p10]
23. humble(lucy... | 0 |
If someone is brave or not brave then someone is either creative or not curious. Everyone who is rich is not creative or not tall. If john is either not generous or not wise then someone is not patient or not wise and vice versa. If mary is either not patient or wise then someone is either not brave or not rich. If som... | Paul is rich. | contradiction | ((?[X]:((brave(X)|~brave(X))))=>(?[X]:((creative(X)<~>~curious(X)))))&
(![X]:(rich(X)=>(~creative(X)|~tall(X))))&
(((~generous(john)<~>~wise(john)))<=>(?[X]:((~patient(X)|~wise(X)))))&
(((~patient(mary)<~>wise(mary)))=>(?[X]:((~brave(X)<~>~rich(X)))))&
((?[X]:((old(X)&~tall(X))))<=>((tall(lucy)|~tall(lucy))))&
((?[X]:(... | rich(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6669520280875651445864418
% SZS output start Proof for 6669520280875651445864418
14. ! [X0] : (rich(X0) => (tall(X0) & ~rich(X0))) [input p13]
25. rich(paul) [input hypothesis]
38. ! [X0] : ((tall(X0) & ~rich(X0)) | ~rich(X0)) [ennf transformation 14]
156. ~rich(X0) | ~rich(X0) [cnf trans... | 0 |
Everyone who is both not calm and not wise is not generous or happy.
If someone is calm then mary is either humble or not rich.
Everyone who is both creative and not brave is both not brave and generous.
Everyone who is both kind and not calm is not wise.
If someone is brave then mary is either not funny or creative an... | Paul is not generous. | neutral | (![X]:((~calm(X)&~wise(X))=>(~generous(X)|happy(X))))&
((?[X]:(calm(X)))=>((humble(mary)<~>~rich(mary))))&
(![X]:((creative(X)&~brave(X))=>(~brave(X)&generous(X))))&
(![X]:((kind(X)&~calm(X))=>~wise(X)))&
((?[X]:(brave(X)))<=>((~funny(mary)<~>creative(mary))))&
(![X]:(rich(X)<=>(generous(X)&creative(X))))&
((?[X]:(~cur... | ~generous(paul) | [] | null | 0 |
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