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 mary is both kind and old then alice is not rich or not kind. Everyone who is brave is either old or not rich. If alice is both not calm and quiet then someone is both brave and not brave and vice versa. If someone is either not kind or not happy then alice is old. Everyone who is both happy and not old is not kind.... | Susan is happy. | contradiction | (((kind(mary)&old(mary)))=>((~rich(alice)|~kind(alice))))&
(![X]:(brave(X)=>(old(X)<~>~rich(X))))&
(((~calm(alice)&quiet(alice)))<=>(?[X]:((brave(X)&~brave(X)))))&
((?[X]:((~kind(X)<~>~happy(X))))=>(old(alice)))&
(![X]:((happy(X)&~old(X))=>~kind(X)))&
(![X]:((~funny(X)&rich(X))=>(generous(X)|~kind(X))))&
(![X]:((~stron... | happy(susan) | [
"p3",
"p4",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1755533411453922760965462
% SZS output start Proof for 1755533411453922760965462
4. ? [X0] : (~kind(X0) <~> ~happy(X0)) => old(alice) [input p3]
5. ! [X0] : ((~old(X0) & happy(X0)) => ~kind(X0)) [input p4]
10. ! [X0] : (~rich(X0) => (~creative(X0) & creative(X0))) [input p9]
11. ! [X0] : ... | 0 |
If someone is rich then someone is both not calm and not humble and vice versa. If someone is both not generous and not brave then someone is either not rich or wise. If john is either creative or patient then someone is either not kind or funny and vice versa. Everyone who is not kind is both not strong and kind. Ever... | Alice is not calm. | entailment | ((?[X]:(rich(X)))<=>(?[X]:((~calm(X)&~humble(X)))))&
((?[X]:((~generous(X)&~brave(X))))=>(?[X]:((~rich(X)<~>wise(X)))))&
(((creative(john)<~>patient(john)))<=>(?[X]:((~kind(X)<~>funny(X)))))&
(![X]:(~kind(X)=>(~strong(X)&kind(X))))&
(![X]:((~curious(X)|quiet(X))<=>(~happy(X)|curious(X))))&
(![X]:((wise(X)|~strong(X))<=... | ~calm(alice) | [
"p3",
"p8",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 70839460416348471255324
% SZS output start Proof for 70839460416348471255324
4. ! [X0] : (~kind(X0) => (kind(X0) & ~strong(X0))) [input p3]
9. ! [X0] : (happy(X0) <=> (calm(X0) & ~brave(X0))) [input p8]
12. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (kind(X0) <~> ~creative(X0))) [input p11... | 0 |
If john is either not calm or tall then john is either not strong or not humble. If someone is both rich and not tall then lucy is either old or not happy. Everyone who is both calm and humble is not funny or quiet. Everyone who is either not creative or funny is both not kind and creative. Everyone who is both not pat... | Mary is old. | contradiction | (((~calm(john)<~>tall(john)))=>((~strong(john)<~>~humble(john))))&
((?[X]:((rich(X)&~tall(X))))=>((old(lucy)<~>~happy(lucy))))&
(![X]:((calm(X)&humble(X))=>(~funny(X)|quiet(X))))&
(![X]:((~creative(X)<~>funny(X))=>(~kind(X)&creative(X))))&
(![X]:((~patient(X)&quiet(X))=>(~rich(X)<~>strong(X))))&
(((~patient(alice)|brav... | old(mary) | [
"p8",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8780436746485991764516609
% SZS output start Proof for 8780436746485991764516609
9. ! [X0] : (kind(X0) <=> (~kind(X0) & ~generous(X0))) [input p8]
10. ! [X0] : (curious(X0) => (quiet(X0) & tall(X0))) [input p9]
11. ! [X0] : ((~humble(X0) & curious(X0)) <=> (~creative(X0) | ~calm(X0))) [in... | 0 |
Everyone who is not generous or funny is kind.
Everyone who is not brave is kind and vice versa.
Everyone who is strong is either not old or not brave and vice versa.
Everyone who is both funny and generous is either wise or not creative.
If susan is both not strong and not curious then john is old or happy and vice ve... | John is funny. | neutral | (![X]:((~generous(X)|funny(X))=>kind(X)))&
(![X]:(~brave(X)<=>kind(X)))&
(![X]:(strong(X)<=>(~old(X)<~>~brave(X))))&
(![X]:((funny(X)&generous(X))=>(wise(X)<~>~creative(X))))&
(((~strong(susan)&~curious(susan)))<=>((old(john)|happy(john))))&
((?[X]:((creative(X)&patient(X))))<=>(?[X]:((~generous(X)&~tall(X)))))&
((~wis... | funny(john) | [] | null | 0 |
If fred is either not humble or tall then someone is patient and vice versa.
If someone is curious or not old then susan is both tall and not rich and vice versa.
If mary is not patient or not rich then paul is not creative.
If fred is tall then someone is kind or not tall.
Everyone who is both creative and not calm is... | Fred is not funny. | entailment | (((~humble(fred)<~>tall(fred)))<=>(?[X]:(patient(X))))&
((?[X]:((curious(X)|~old(X))))<=>((tall(susan)&~rich(susan))))&
(((~patient(mary)|~rich(mary)))=>(~creative(paul)))&
((tall(fred))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:((creative(X)&~calm(X))=>(tall(X)|~kind(X))))&
((?[X]:((~quiet(X)|~old(X))))<=>((~patient(fred)&... | ~funny(fred) | [
"p0",
"p1",
"p6",
"p7",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8395561382296079897281407
% SZS output start Proof for 8395561382296079897281407
1. (~humble(fred) <~> tall(fred)) <=> ? [X0] : patient(X0) [input p0]
2. ? [X0] : (~old(X0) | curious(X0)) <=> (~rich(susan) & tall(susan)) [input p1]
7. (wise(susan) <~> ~patient(susan)) => (~curious(paul) <... | 0 |
Everyone who is kind is humble and vice versa. If someone is both quiet and patient then someone is both not generous and creative and vice versa. If someone is both not calm and rich then mary is not tall and vice versa. If susan is quiet or not calm then paul is creative and vice versa. If someone is both not tall an... | Paul is not creative. | contradiction | (![X]:(kind(X)<=>humble(X)))&
((?[X]:((quiet(X)&patient(X))))<=>(?[X]:((~generous(X)&creative(X)))))&
((?[X]:((~calm(X)&rich(X))))<=>(~tall(mary)))&
(((quiet(susan)|~calm(susan)))<=>(creative(paul)))&
((?[X]:((~tall(X)&generous(X))))<=>(?[X]:((strong(X)<~>~tall(X)))))&
(![X]:((rich(X)&generous(X))<=>(~funny(X)|patient(... | ~creative(paul) | [
"p3",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 833919114301350884125442
% SZS output start Proof for 833919114301350884125442
4. (~calm(susan) | quiet(susan)) <=> creative(paul) [input p3]
22. ~calm(susan) & ~creative(susan) [input p21]
25. ~creative(paul) [input hypothesis]
44. ((~calm(susan) | quiet(susan)) | ~creative(paul)) & (cre... | 0 |
If someone is curious or not old then someone is not humble or kind and vice versa.
Everyone who is both happy and creative is generous and vice versa.
Everyone who is both creative and not rich is either patient or kind.
Everyone who is not curious is not wise.
Everyone who is calm or not kind is not tall.
If lucy is ... | Lucy is calm. | neutral | ((?[X]:((curious(X)|~old(X))))<=>(?[X]:((~humble(X)|kind(X)))))&
(![X]:((happy(X)&creative(X))<=>generous(X)))&
(![X]:((creative(X)&~rich(X))=>(patient(X)<~>kind(X))))&
(![X]:(~curious(X)=>~wise(X)))&
(![X]:((calm(X)|~kind(X))=>~tall(X)))&
(((calm(lucy)&wise(lucy)))<=>(~calm(susan)))&
((?[X]:((rich(X)<~>~happy(X))))<=>... | calm(lucy) | [] | null | 0 |
If someone is not strong then susan is both not calm and not old.
If alice is either not humble or brave then alice is either not wise or brave and vice versa.
Everyone who is not funny is wise.
Everyone who is rich or not wise is not rich or not humble and vice versa.
If fred is patient or rich then someone is not qui... | John is brave. | neutral | ((?[X]:(~strong(X)))=>((~calm(susan)&~old(susan))))&
(((~humble(alice)<~>brave(alice)))<=>((~wise(alice)<~>brave(alice))))&
(![X]:(~funny(X)=>wise(X)))&
(![X]:((rich(X)|~wise(X))<=>(~rich(X)|~humble(X))))&
(((patient(fred)|rich(fred)))<=>(?[X]:(~quiet(X))))&
(((~kind(mary)|~curious(mary)))=>((tall(paul)&~strong(paul)))... | brave(john) | [] | null | 0 |
If susan is curious or calm then someone is either not rich or not old and vice versa.
If someone is either humble or kind then john is calm or not old and vice versa.
Everyone who is not generous or not wise is not humble.
Everyone who is both brave and kind is not creative and vice versa.
If john is both old and curi... | Fred is funny. | contradiction | (((curious(susan)|calm(susan)))<=>(?[X]:((~rich(X)<~>~old(X)))))&
((?[X]:((humble(X)<~>kind(X))))<=>((calm(john)|~old(john))))&
(![X]:((~generous(X)|~wise(X))=>~humble(X)))&
(![X]:((brave(X)&kind(X))<=>~creative(X)))&
(((old(john)&curious(john)))=>(?[X]:((~humble(X)|~curious(X)))))&
((?[X]:((~creative(X)|~happy(X))))=>... | funny(fred) | [
"p2",
"p3",
"p7",
"p8",
"p9",
"p10",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1701241712528537577421260
% SZS output start Proof for 1701241712528537577421260
3. ! [X0] : ((~wise(X0) | ~generous(X0)) => ~humble(X0)) [input p2]
4. ! [X0] : ((kind(X0) & brave(X0)) <=> ~creative(X0)) [input p3]
8. ! [X0] : ((~humble(X0) & ~kind(X0)) => ~rich(X0)) [input p7]
9. ! [X0] ... | 0 |
If paul is calm or not brave then paul is kind. If john is humble then someone is kind or not rich and vice versa. Everyone who is both not rich and not funny is both calm and patient and vice versa. Everyone who is either not calm or humble is generous or not generous. Everyone who is either not quiet or funny is both... | Fred is not calm. | neutral | (((calm(paul)|~brave(paul)))=>(kind(paul)))&
((humble(john))<=>(?[X]:((kind(X)|~rich(X)))))&
(![X]:((~rich(X)&~funny(X))<=>(calm(X)&patient(X))))&
(![X]:((~calm(X)<~>humble(X))=>(generous(X)|~generous(X))))&
(![X]:((~quiet(X)<~>funny(X))<=>(~old(X)&~patient(X))))&
(((~curious(lucy)<~>humble(lucy)))<=>((brave(john)&gene... | ~calm(fred) | [] | null | 0 |
Everyone who is either not generous or not creative is both not quiet and not strong.
Everyone who is kind is either not patient or rich.
Everyone who is both not funny and quiet is either not humble or not curious and vice versa.
Everyone who is either not brave or rich is not wise and vice versa.
Everyone who is not ... | Fred is not wise. | contradiction | (![X]:((~generous(X)<~>~creative(X))=>(~quiet(X)&~strong(X))))&
(![X]:(kind(X)=>(~patient(X)<~>rich(X))))&
(![X]:((~funny(X)&quiet(X))<=>(~humble(X)<~>~curious(X))))&
(![X]:((~brave(X)<~>rich(X))<=>~wise(X)))&
(![X]:((~rich(X)|happy(X))<=>(~old(X)|brave(X))))&
(((~creative(susan)|brave(susan)))<=>((happy(alice)<~>humbl... | ~wise(fred) | [
"p2",
"p7",
"p10",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1024587499701558542544675
% SZS output start Proof for 1024587499701558542544675
3. ! [X0] : ((quiet(X0) & ~funny(X0)) <=> (~humble(X0) <~> ~curious(X0))) [input p2]
8. ! [X0] : ((~funny(X0) | ~creative(X0)) => wise(X0)) [input p7]
11. ! [X0] : (~curious(X0) <=> (happy(X0) | wise(X0))) [i... | 0 |
Everyone who is both humble and not tall is either not tall or not curious.
If mary is either not old or happy then paul is both happy and creative.
Everyone who is both not creative and not kind is not old and vice versa.
If paul is either not calm or not tall then someone is either not strong or not brave and vice ve... | Alice is calm. | neutral | (![X]:((humble(X)&~tall(X))=>(~tall(X)<~>~curious(X))))&
(((~old(mary)<~>happy(mary)))=>((happy(paul)&creative(paul))))&
(![X]:((~creative(X)&~kind(X))<=>~old(X)))&
(((~calm(paul)<~>~tall(paul)))<=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:(~old(X)<=>~happy(X)))&
(![X]:((~generous(X)<~>~humble(X))<=>(~old(X)<~>quiet(X)... | calm(alice) | [] | null | 0 |
If someone is either generous or kind then someone is generous or not brave and vice versa.
Everyone who is not creative is either calm or not generous and vice versa.
If alice is both not happy and humble then someone is curious.
Everyone who is calm or not humble is both humble and wise and vice versa.
If someone is ... | Susan is quiet. | entailment | ((?[X]:((generous(X)<~>kind(X))))<=>(?[X]:((generous(X)|~brave(X)))))&
(![X]:(~creative(X)<=>(calm(X)<~>~generous(X))))&
(((~happy(alice)&humble(alice)))=>(?[X]:(curious(X))))&
(![X]:((calm(X)|~humble(X))<=>(humble(X)&wise(X))))&
((?[X]:(patient(X)))=>(?[X]:((~quiet(X)<~>curious(X)))))&
(![X]:((generous(X)|~funny(X))=>... | quiet(susan) | [
"p3",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1348526085053507864996176
% SZS output start Proof for 1348526085053507864996176
4. ! [X0] : ((~humble(X0) | calm(X0)) <=> (wise(X0) & humble(X0))) [input p3]
7. ! [X0] : ((wise(X0) <~> patient(X0)) <=> (~patient(X0) | humble(X0))) [input p6]
13. ! [X0] : ((~funny(X0) | ~quiet(X0)) <=> (~... | 0 |
If someone is either not strong or not rich then john is either not generous or rich.
If alice is either not curious or not quiet then alice is humble or creative.
If alice is both not generous and not happy then fred is both not calm and patient.
Everyone who is either not quiet or not creative is not wise and vice ve... | John is tall. | contradiction | ((?[X]:((~strong(X)<~>~rich(X))))=>((~generous(john)<~>rich(john))))&
(((~curious(alice)<~>~quiet(alice)))=>((humble(alice)|creative(alice))))&
(((~generous(alice)&~happy(alice)))=>((~calm(fred)&patient(fred))))&
(![X]:((~quiet(X)<~>~creative(X))<=>~wise(X)))&
(![X]:(~old(X)<=>(old(X)&creative(X))))&
(![X]:((happy(X)|~... | tall(john) | [
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6153612510929699722710330
% SZS output start Proof for 6153612510929699722710330
4. ! [X0] : ((~quiet(X0) <~> ~creative(X0)) <=> ~wise(X0)) [input p3]
5. ! [X0] : (~old(X0) <=> (creative(X0) & old(X0))) [input p4]
6. ! [X0] : ((~wise(X0) | happy(X0)) => ~wise(X0)) [input p5]
7. ? [X0] : (... | 0 |
If lucy is either tall or not funny then john is either not happy or not tall and vice versa. Everyone who is either not humble or calm is not wise or quiet and vice versa. Everyone who is both happy and not patient is both not calm and patient. If someone is wise then fred is not strong and vice versa. If someone is b... | Mary is not quiet. | contradiction | (((tall(lucy)<~>~funny(lucy)))<=>((~happy(john)<~>~tall(john))))&
(![X]:((~humble(X)<~>calm(X))<=>(~wise(X)|quiet(X))))&
(![X]:((happy(X)&~patient(X))=>(~calm(X)&patient(X))))&
((?[X]:(wise(X)))<=>(~strong(fred)))&
((?[X]:((~creative(X)&calm(X))))=>(?[X]:((~funny(X)|~generous(X)))))&
(((tall(susan)<~>~kind(susan)))<=>(... | ~quiet(mary) | [
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8230863831361097517241234
% SZS output start Proof for 8230863831361097517241234
16. (calm(mary) & quiet(mary)) <=> ? [X0] : (happy(X0) | rich(X0)) [input p15]
23. happy(paul) & quiet(paul) [input p22]
24. ~quiet(mary) [input hypothesis]
73. ((calm(mary) & quiet(mary)) | ! [X0] : (~happy(... | 0 |
Everyone who is not brave is rich and vice versa.
If susan is rich then someone is either wise or not creative and vice versa.
If susan is humble or patient then someone is both happy and not curious.
If someone is not calm then mary is either curious or not patient.
Everyone who is creative or not patient is either br... | Susan is not creative. | contradiction | (![X]:(~brave(X)<=>rich(X)))&
((rich(susan))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susan)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:(~calm(X)))=>((curious(mary)<~>~patient(mary))))&
(![X]:((creative(X)|~patient(X))=>(brave(X)<~>creative(X))))&
(![X]:((generous(X)|humble(X))=>tall(X)))&
(![X]:... | ~creative(susan) | [
"p0",
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7157143699266250243126058
% SZS output start Proof for 7157143699266250243126058
1. ! [X0] : (~brave(X0) <=> rich(X0)) [input p0]
5. ! [X0] : ((~patient(X0) | creative(X0)) => (brave(X0) <~> creative(X0))) [input p4]
7. ! [X0] : ((~old(X0) | ~rich(X0)) <=> patient(X0)) [input p6]
9. ! [X0... | 0 |
If someone is strong or tall then alice is not strong.
Everyone who is either funny or humble is not creative.
Everyone who is curious is humble or not old.
If paul is both generous and not generous then alice is not humble.
Everyone who is both old and curious is old or not old and vice versa.
If someone is curious or... | Susan is not funny. | neutral | ((?[X]:((strong(X)|tall(X))))=>(~strong(alice)))&
(![X]:((funny(X)<~>humble(X))=>~creative(X)))&
(![X]:(curious(X)=>(humble(X)|~old(X))))&
(((generous(paul)&~generous(paul)))=>(~humble(alice)))&
(![X]:((old(X)&curious(X))<=>(old(X)|~old(X))))&
((?[X]:((curious(X)|~humble(X))))<=>(?[X]:(humble(X))))&
(![X]:((~funny(X)|k... | ~funny(susan) | [] | null | 0 |
If john is both not curious and funny then someone is wise and vice versa. Everyone who is either generous or not calm is not happy. Everyone who is not calm is tall and vice versa. Everyone who is either creative or humble is generous or not strong. Everyone who is not happy or patient is not old. If susan is either r... | John is calm. | contradiction | (((~curious(john)&funny(john)))<=>(?[X]:(wise(X))))&
(![X]:((generous(X)<~>~calm(X))=>~happy(X)))&
(![X]:(~calm(X)<=>tall(X)))&
(![X]:((creative(X)<~>humble(X))=>(generous(X)|~strong(X))))&
(![X]:((~happy(X)|patient(X))=>~old(X)))&
(((rich(susan)<~>~patient(susan)))<=>(?[X]:((~happy(X)|tall(X)))))&
(![X]:((creative(X)|... | calm(john) | [
"p0",
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1856042538918024165139580
% SZS output start Proof for 1856042538918024165139580
1. (funny(john) & ~curious(john)) <=> ? [X0] : wise(X0) [input p0]
7. ! [X0] : ((~curious(X0) | creative(X0)) => (generous(X0) & ~calm(X0))) [input p6]
22. ? [X0] : (~patient(X0) & wise(X0)) [input p21]
25. c... | 0 |
Everyone who is not tall or wise is both not generous and curious. If someone is not old then someone is both creative and not rich and vice versa. If someone is both not kind and humble then someone is either not kind or not calm and vice versa. Everyone who is not rich or generous is both not tall and not funny. If s... | Paul is not wise. | contradiction | (![X]:((~tall(X)|wise(X))=>(~generous(X)&curious(X))))&
((?[X]:(~old(X)))<=>(?[X]:((creative(X)&~rich(X)))))&
((?[X]:((~kind(X)&humble(X))))<=>(?[X]:((~kind(X)<~>~calm(X)))))&
(![X]:((~rich(X)|generous(X))=>(~tall(X)&~funny(X))))&
((?[X]:(wise(X)))<=>(?[X]:((~creative(X)&funny(X)))))&
(![X]:((wise(X)&~tall(X))<=>(wise(... | ~wise(paul) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8187966106703069394882513
% SZS output start Proof for 8187966106703069394882513
1. ! [X0] : ((wise(X0) | ~tall(X0)) => (curious(X0) & ~generous(X0))) [input p0]
2. ? [X0] : ~old(X0) <=> ? [X0] : (~rich(X0) & creative(X0)) [input p1]
4. ! [X0] : ((generous(X0) | ~rich(X0)) => (~funny(X0) ... | 0 |
Everyone who is either not wise or generous is not generous or not brave and vice versa. If mary is both not calm and happy then lucy is either not strong or funny. Everyone who is not generous or strong is either creative or not strong and vice versa. If someone is brave or old then lucy is not old. If alice is both t... | Lucy is funny. | contradiction | (![X]:((~wise(X)<~>generous(X))<=>(~generous(X)|~brave(X))))&
(((~calm(mary)&happy(mary)))=>((~strong(lucy)<~>funny(lucy))))&
(![X]:((~generous(X)|strong(X))<=>(creative(X)<~>~strong(X))))&
((?[X]:((brave(X)|old(X))))=>(~old(lucy)))&
(((tall(alice)&~funny(alice)))<=>(?[X]:(~humble(X))))&
(((tall(susan)&happy(susan)))<=... | funny(lucy) | [
"p0",
"p1",
"p2",
"p6",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 407830871298664132606160
% SZS output start Proof for 407830871298664132606160
1. ! [X0] : ((~wise(X0) <~> generous(X0)) <=> (~brave(X0) | ~generous(X0))) [input p0]
2. (happy(mary) & ~calm(mary)) => (~strong(lucy) <~> funny(lucy)) [input p1]
3. ! [X0] : ((strong(X0) | ~generous(X0)) <=> ... | 0 |
Everyone who is tall is humble and vice versa.
If someone is brave then lucy is rich or not brave.
If lucy is both not rich and rich then someone is strong or patient.
Everyone who is both not kind and not happy is both not funny and creative.
Everyone who is not brave is both not old and not strong.
If lucy is not qui... | Lucy is not humble. | entailment | (![X]:(tall(X)<=>humble(X)))&
((?[X]:(brave(X)))=>((rich(lucy)|~brave(lucy))))&
(((~rich(lucy)&rich(lucy)))=>(?[X]:((strong(X)|patient(X)))))&
(![X]:((~kind(X)&~happy(X))=>(~funny(X)&creative(X))))&
(![X]:(~brave(X)=>(~old(X)&~strong(X))))&
(((~quiet(lucy)|brave(lucy)))<=>(?[X]:((~kind(X)|~brave(X)))))&
((?[X]:((old(X)... | ~humble(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p8",
"p10",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2037387555609822751233495
% SZS output start Proof for 2037387555609822751233495
1. ! [X0] : (tall(X0) <=> humble(X0)) [input p0]
2. ? [X0] : brave(X0) => (~brave(lucy) | rich(lucy)) [input p1]
4. ! [X0] : ((~happy(X0) & ~kind(X0)) => (creative(X0) & ~funny(X0))) [input p3]
5. ! [X0] : (~... | 0 |
Everyone who is either humble or not old is both old and curious.
If someone is humble or rich then mary is wise and vice versa.
Everyone who is either not kind or happy is brave.
Everyone who is calm is brave or not strong and vice versa.
If john is both happy and funny then someone is strong or not generous and vice ... | Lucy is not old. | contradiction | (![X]:((humble(X)<~>~old(X))=>(old(X)&curious(X))))&
((?[X]:((humble(X)|rich(X))))<=>(wise(mary)))&
(![X]:((~kind(X)<~>happy(X))=>brave(X)))&
(![X]:(calm(X)<=>(brave(X)|~strong(X))))&
(((happy(john)&funny(john)))<=>(?[X]:((strong(X)|~generous(X)))))&
(![X]:((~strong(X)|kind(X))<=>(old(X)&happy(X))))&
(![X]:((~humble(X)... | ~old(lucy) | [
"p4",
"p5",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8309437302928561508987818
% SZS output start Proof for 8309437302928561508987818
5. (funny(john) & happy(john)) <=> ? [X0] : (~generous(X0) | strong(X0)) [input p4]
6. ! [X0] : ((kind(X0) | ~strong(X0)) <=> (happy(X0) & old(X0))) [input p5]
7. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> funn... | 0 |
If alice is strong or tall then susan is not calm or not patient and vice versa.
Everyone who is either not kind or kind is calm.
Everyone who is not quiet is both not rich and generous and vice versa.
If fred is not tall or not patient then someone is either not patient or not funny.
Everyone who is both strong and no... | Fred is patient. | contradiction | (((strong(alice)|tall(alice)))<=>((~calm(susan)|~patient(susan))))&
(![X]:((~kind(X)<~>kind(X))=>calm(X)))&
(![X]:(~quiet(X)<=>(~rich(X)&generous(X))))&
(((~tall(fred)|~patient(fred)))=>(?[X]:((~patient(X)<~>~funny(X)))))&
(![X]:((strong(X)&~quiet(X))<=>(~funny(X)|~happy(X))))&
(![X]:((humble(X)|generous(X))=>(~humble(... | patient(fred) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3111884455913924362924636
% SZS output start Proof for 3111884455913924362924636
23. ~patient(fred) [input p22]
25. patient(fred) [input hypothesis]
128. ~patient(fred) [cnf transformation 23]
130. patient(fred) [cnf transformation 25]
157. 5 <=> patient(fred) [avatar definition]
261. ~5 ... | 0 |
If mary is both not strong and not quiet then someone is both not curious and not old and vice versa. If someone is kind or not calm then mary is not tall. Everyone who is not happy or rich is quiet. Everyone who is not kind or not calm is strong. If someone is not humble or brave then someone is not brave and vice ver... | Mary is not tall. | entailment | (((~strong(mary)&~quiet(mary)))<=>(?[X]:((~curious(X)&~old(X)))))&
((?[X]:((kind(X)|~calm(X))))=>(~tall(mary)))&
(![X]:((~happy(X)|rich(X))=>quiet(X)))&
(![X]:((~kind(X)|~calm(X))=>strong(X)))&
((?[X]:((~humble(X)|brave(X))))<=>(?[X]:(~brave(X))))&
((?[X]:((~brave(X)&rich(X))))<=>(?[X]:((~calm(X)<~>~old(X)))))&
((?[X]:... | ~tall(mary) | [
"p1",
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4722712839578915833578284
% SZS output start Proof for 4722712839578915833578284
2. ? [X0] : (~calm(X0) | kind(X0)) => ~tall(mary) [input p1]
4. ! [X0] : ((~calm(X0) | ~kind(X0)) => strong(X0)) [input p3]
18. ? [X0] : ~strong(X0) [input p17]
25. tall(mary) [input hypothesis]
37. ~tall(mar... | 0 |
If someone is curious then someone is brave and vice versa. Everyone who is not happy is not calm or creative and vice versa. Everyone who is either brave or not creative is either generous or quiet. If someone is both not humble and not tall then john is not kind or generous and vice versa. If someone is both not crea... | Alice is generous. | neutral | ((?[X]:(curious(X)))<=>(?[X]:(brave(X))))&
(![X]:(~happy(X)<=>(~calm(X)|creative(X))))&
(![X]:((brave(X)<~>~creative(X))=>(generous(X)<~>quiet(X))))&
((?[X]:((~humble(X)&~tall(X))))<=>((~kind(john)|generous(john))))&
((?[X]:((~creative(X)&curious(X))))<=>((~old(susan)<~>funny(susan))))&
(![X]:(happy(X)<=>(quiet(X)&~pat... | generous(alice) | [] | null | 0 |
Everyone who is either not brave or not wise is happy and vice versa.
If someone is either not old or patient then someone is both funny and curious and vice versa.
Everyone who is not old is funny or calm and vice versa.
Everyone who is funny is not happy or happy and vice versa.
If fred is not brave or not patient th... | Mary is quiet. | neutral | (![X]:((~brave(X)<~>~wise(X))<=>happy(X)))&
((?[X]:((~old(X)<~>patient(X))))<=>(?[X]:((funny(X)&curious(X)))))&
(![X]:(~old(X)<=>(funny(X)|calm(X))))&
(![X]:(funny(X)<=>(~happy(X)|happy(X))))&
(((~brave(fred)|~patient(fred)))=>((~old(fred)&brave(fred))))&
((?[X]:((~strong(X)&~rich(X))))<=>((~patient(mary)&~wise(mary)))... | quiet(mary) | [] | null | 0 |
Everyone who is either curious or not kind is both not creative and creative and vice versa.
Everyone who is brave is not rich or tall and vice versa.
If someone is brave or tall then someone is not wise or not funny.
If someone is not tall or old then someone is either strong or calm.
Everyone who is either strong or ... | Mary is strong. | neutral | (![X]:((curious(X)<~>~kind(X))<=>(~creative(X)&creative(X))))&
(![X]:(brave(X)<=>(~rich(X)|tall(X))))&
((?[X]:((brave(X)|tall(X))))=>(?[X]:((~wise(X)|~funny(X)))))&
((?[X]:((~tall(X)|old(X))))=>(?[X]:((strong(X)<~>calm(X)))))&
(![X]:((strong(X)<~>~strong(X))=>(funny(X)|~calm(X))))&
(![X]:((~curious(X)<~>~humble(X))<=>~... | strong(mary) | [] | null | 0 |
If john is tall then someone is either not calm or brave. If someone is either patient or not calm then someone is both not generous and humble. If paul is not quiet then lucy is not calm. If john is either not humble or tall then someone is not happy or happy and vice versa. If lucy is both not humble and creative the... | Susan is quiet. | neutral | ((tall(john))=>(?[X]:((~calm(X)<~>brave(X)))))&
((?[X]:((patient(X)<~>~calm(X))))=>(?[X]:((~generous(X)&humble(X)))))&
((~quiet(paul))=>(~calm(lucy)))&
(((~humble(john)<~>tall(john)))<=>(?[X]:((~happy(X)|happy(X)))))&
(((~humble(lucy)&creative(lucy)))=>(quiet(susan)))&
((~patient(lucy))=>(~generous(alice)))&
(![X]:((~f... | quiet(susan) | [] | null | 0 |
If someone is either humble or not old then paul is both kind and wise.
If john is not curious then fred is not funny.
Everyone who is not calm is either not patient or wise and vice versa.
If someone is wise then mary is either not creative or not happy and vice versa.
Everyone who is not funny is both not strong and ... | John is quiet. | contradiction | ((?[X]:((humble(X)<~>~old(X))))=>((kind(paul)&wise(paul))))&
((~curious(john))=>(~funny(fred)))&
(![X]:(~calm(X)<=>(~patient(X)<~>wise(X))))&
((?[X]:(wise(X)))<=>((~creative(mary)<~>~happy(mary))))&
(![X]:(~funny(X)<=>(~strong(X)&funny(X))))&
((patient(fred))<=>(calm(mary)))&
(![X]:((old(X)<~>~calm(X))<=>(~curious(X)<~... | quiet(john) | [
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7279493599928659540785592
% SZS output start Proof for 7279493599928659540785592
5. ! [X0] : (~funny(X0) <=> (funny(X0) & ~strong(X0))) [input p4]
11. ? [X0] : creative(X0) <=> ? [X0] : (~funny(X0) & ~tall(X0)) [input p10]
13. ! [X0] : ((~old(X0) & ~quiet(X0)) <=> ~creative(X0)) [input p1... | 0 |
If someone is not brave or not quiet then paul is both brave and not old and vice versa. Everyone who is either not wise or not quiet is both not curious and not strong and vice versa. If someone is tall then someone is quiet or not rich. If someone is both not humble and not quiet then mary is not kind and vice versa.... | Mary is old. | entailment | ((?[X]:((~brave(X)|~quiet(X))))<=>((brave(paul)&~old(paul))))&
(![X]:((~wise(X)<~>~quiet(X))<=>(~curious(X)&~strong(X))))&
((?[X]:(tall(X)))=>(?[X]:((quiet(X)|~rich(X)))))&
((?[X]:((~humble(X)&~quiet(X))))<=>(~kind(mary)))&
(![X]:(wise(X)=>(rich(X)<~>~curious(X))))&
((?[X]:((humble(X)|~calm(X))))<=>(humble(fred)))&
(![... | old(mary) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6179915766515598289293403
% SZS output start Proof for 6179915766515598289293403
10. ! [X0] : (~happy(X0) => (~curious(X0) & happy(X0))) [input p9]
15. ! [X0] : (old(X0) <=> (happy(X0) | ~quiet(X0))) [input p14]
23. ~old(mary) [input hypothesis]
32. ! [X0] : ((~curious(X0) & happy(X0)) | ... | 0 |
Everyone who is not generous or funny is generous and vice versa.
If someone is not happy then someone is both not brave and rich.
If fred is both tall and not kind then susan is either creative or kind.
If paul is not tall then someone is both tall and curious and vice versa.
If susan is generous then fred is not humb... | Paul is not tall. | neutral | (![X]:((~generous(X)|funny(X))<=>generous(X)))&
((?[X]:(~happy(X)))=>(?[X]:((~brave(X)&rich(X)))))&
(((tall(fred)&~kind(fred)))=>((creative(susan)<~>kind(susan))))&
((~tall(paul))<=>(?[X]:((tall(X)&curious(X)))))&
((generous(susan))<=>((~humble(fred)|~rich(fred))))&
(![X]:((rich(X)<~>~strong(X))<=>(~creative(X)&~funny(... | ~tall(paul) | [] | null | 0 |
Everyone who is not humble or tall is either rich or humble. If someone is not brave then someone is either calm or not calm. Everyone who is both not funny and not rich is calm and vice versa. Everyone who is wise or brave is either happy or not calm. Everyone who is either old or not calm is not generous and vice ver... | John is not strong. | neutral | (![X]:((~humble(X)|tall(X))=>(rich(X)<~>humble(X))))&
((?[X]:(~brave(X)))=>(?[X]:((calm(X)<~>~calm(X)))))&
(![X]:((~funny(X)&~rich(X))<=>calm(X)))&
(![X]:((wise(X)|brave(X))=>(happy(X)<~>~calm(X))))&
(![X]:((old(X)<~>~calm(X))<=>~generous(X)))&
(![X]:((~funny(X)&strong(X))=>rich(X)))&
(![X]:((~funny(X)|~quiet(X))=>(gen... | ~strong(john) | [] | null | 0 |
If fred is humble or curious then someone is both rich and not humble.
If someone is both not generous and not kind then lucy is not happy or not generous.
If someone is funny or not old then mary is both not strong and funny and vice versa.
If someone is either not quiet or not patient then lucy is old and vice versa.... | Paul is rich. | neutral | (((humble(fred)|curious(fred)))=>(?[X]:((rich(X)&~humble(X)))))&
((?[X]:((~generous(X)&~kind(X))))=>((~happy(lucy)|~generous(lucy))))&
((?[X]:((funny(X)|~old(X))))<=>((~strong(mary)&funny(mary))))&
((?[X]:((~quiet(X)<~>~patient(X))))<=>(old(lucy)))&
(![X]:((rich(X)|humble(X))<=>(~generous(X)|generous(X))))&
(![X]:(~ric... | rich(paul) | [] | null | 0 |
Everyone who is not happy is curious or not humble.
Everyone who is either humble or not brave is not wise or not creative.
Everyone who is both happy and not happy is generous or not brave and vice versa.
Everyone who is both not brave and not happy is not old or strong and vice versa.
Everyone who is rich or patient ... | Mary is not humble. | contradiction | (![X]:(~happy(X)=>(curious(X)|~humble(X))))&
(![X]:((humble(X)<~>~brave(X))=>(~wise(X)|~creative(X))))&
(![X]:((happy(X)&~happy(X))<=>(generous(X)|~brave(X))))&
(![X]:((~brave(X)&~happy(X))<=>(~old(X)|strong(X))))&
(![X]:((rich(X)|patient(X))=>(~humble(X)&~kind(X))))&
((?[X]:((~kind(X)&generous(X))))<=>((curious(alice)... | ~humble(mary) | [
"p2",
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5772650314052450273307043
% SZS output start Proof for 5772650314052450273307043
3. ! [X0] : ((~happy(X0) & happy(X0)) <=> (~brave(X0) | generous(X0))) [input p2]
4. ! [X0] : ((~happy(X0) & ~brave(X0)) <=> (strong(X0) | ~old(X0))) [input p3]
18. ~old(mary) | humble(mary) [input p17]
22. ~... | 0 |
If lucy is both wise and kind then fred is not kind or not curious.
If someone is calm then someone is both not funny and curious.
Everyone who is quiet or not creative is not kind or calm.
Everyone who is not old is both generous and calm.
If someone is not curious or not humble then paul is either patient or not quie... | Lucy is quiet. | contradiction | (((wise(lucy)&kind(lucy)))=>((~kind(fred)|~curious(fred))))&
((?[X]:(calm(X)))=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:((quiet(X)|~creative(X))=>(~kind(X)|calm(X))))&
(![X]:(~old(X)=>(generous(X)&calm(X))))&
((?[X]:((~curious(X)|~humble(X))))=>((patient(paul)<~>~quiet(paul))))&
(![X]:((~humble(X)&~generous(X))<=>(~ric... | quiet(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6066098216414925821444919
% SZS output start Proof for 6066098216414925821444919
11. ? [X0] : (quiet(X0) | ~creative(X0)) => ? [X0] : (~wise(X0) & wise(X0)) [input p10]
20. quiet(lucy) [input hypothesis]
23. ? [X0] : (quiet(X0) | ~creative(X0)) => ? [X1] : (~wise(X1) & wise(X1)) [rectify ... | 0 |
Everyone who is not happy or quiet is both not kind and not brave and vice versa.
If someone is both not quiet and not patient then someone is happy and vice versa.
If someone is patient then mary is either patient or creative.
If someone is both not humble and generous then someone is humble or strong and vice versa.
... | Mary is not calm. | neutral | (![X]:((~happy(X)|quiet(X))<=>(~kind(X)&~brave(X))))&
((?[X]:((~quiet(X)&~patient(X))))<=>(?[X]:(happy(X))))&
((?[X]:(patient(X)))=>((patient(mary)<~>creative(mary))))&
((?[X]:((~humble(X)&generous(X))))<=>(?[X]:((humble(X)|strong(X)))))&
(![X]:(calm(X)=>(~calm(X)<~>~old(X))))&
(![X]:((humble(X)|patient(X))<=>(wise(X)&... | ~calm(mary) | [] | null | 0 |
If paul is not wise or not rich then susan is not tall or funny and vice versa.
Everyone who is either rich or not creative is both not tall and kind and vice versa.
Everyone who is both tall and generous is curious.
If someone is either not calm or strong then someone is not patient and vice versa.
If someone is not p... | Susan is not old. | neutral | (((~wise(paul)|~rich(paul)))<=>((~tall(susan)|funny(susan))))&
(![X]:((rich(X)<~>~creative(X))<=>(~tall(X)&kind(X))))&
(![X]:((tall(X)&generous(X))=>curious(X)))&
((?[X]:((~calm(X)<~>strong(X))))<=>(?[X]:(~patient(X))))&
((?[X]:((~patient(X)|~happy(X))))<=>((~humble(susan)|funny(susan))))&
(![X]:((~strong(X)&~old(X))=>... | ~old(susan) | [] | null | 0 |
If fred is both tall and not creative then alice is both not quiet and curious.
Everyone who is not wise is curious or not kind and vice versa.
Everyone who is not patient is tall or brave and vice versa.
If someone is not patient or quiet then someone is either not strong or not humble and vice versa.
Everyone who is ... | Alice is humble. | neutral | (((tall(fred)&~creative(fred)))=>((~quiet(alice)&curious(alice))))&
(![X]:(~wise(X)<=>(curious(X)|~kind(X))))&
(![X]:(~patient(X)<=>(tall(X)|brave(X))))&
((?[X]:((~patient(X)|quiet(X))))<=>(?[X]:((~strong(X)<~>~humble(X)))))&
(![X]:((~wise(X)&rich(X))<=>(brave(X)|~patient(X))))&
(![X]:((~funny(X)&old(X))=>~generous(X))... | humble(alice) | [] | null | 0 |
If someone is either not curious or tall then fred is not patient or kind.
If alice is both not funny and not happy then someone is either rich or not curious and vice versa.
If john is not humble or calm then john is either brave or not rich and vice versa.
Everyone who is both quiet and happy is old or happy and vice... | Alice is old. | contradiction | ((?[X]:((~curious(X)<~>tall(X))))=>((~patient(fred)|kind(fred))))&
(((~funny(alice)&~happy(alice)))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(((~humble(john)|calm(john)))<=>((brave(john)<~>~rich(john))))&
(![X]:((quiet(X)&happy(X))<=>(old(X)|happy(X))))&
(((~curious(mary)&rich(mary)))=>(?[X]:((rich(X)&~strong(X)))))&
(![X]... | old(alice) | [
"p3",
"p6",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8870853141067044769505391
% SZS output start Proof for 8870853141067044769505391
4. ! [X0] : ((happy(X0) & quiet(X0)) <=> (happy(X0) | old(X0))) [input p3]
7. ! [X0] : ((quiet(X0) <~> ~funny(X0)) <=> (creative(X0) & generous(X0))) [input p6]
8. ! [X0] : ((calm(X0) | tall(X0)) => ~generous... | 0 |
Everyone who is kind is either not quiet or kind and vice versa.
If someone is not calm then mary is not humble or rich.
Everyone who is humble or not funny is both funny and not strong.
If paul is either calm or rich then lucy is both wise and not tall and vice versa.
If someone is generous then someone is not humble ... | Lucy is wise. | neutral | (![X]:(kind(X)<=>(~quiet(X)<~>kind(X))))&
((?[X]:(~calm(X)))=>((~humble(mary)|rich(mary))))&
(![X]:((humble(X)|~funny(X))=>(funny(X)&~strong(X))))&
(((calm(paul)<~>rich(paul)))<=>((wise(lucy)&~tall(lucy))))&
((?[X]:(generous(X)))<=>(?[X]:(~humble(X))))&
(((~wise(mary)<~>humble(mary)))<=>((~old(susan)&~brave(susan))))&
... | wise(lucy) | [] | null | 0 |
Everyone who is old or wise is both funny and not creative and vice versa.
If someone is both strong and wise then someone is either not quiet or quiet.
Everyone who is strong is happy or not rich.
If someone is humble or not old then fred is old and vice versa.
Everyone who is calm or not creative is either not humble... | Fred is happy. | entailment | (![X]:((old(X)|wise(X))<=>(funny(X)&~creative(X))))&
((?[X]:((strong(X)&wise(X))))=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(![X]:(strong(X)=>(happy(X)|~rich(X))))&
((?[X]:((humble(X)|~old(X))))<=>(old(fred)))&
(![X]:((calm(X)|~creative(X))=>(~humble(X)<~>calm(X))))&
((?[X]:((~kind(X)&~calm(X))))<=>(?[X]:((~creative(X)<~>~pa... | happy(fred) | [
"p0",
"p7",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8810685059466333531930913
% SZS output start Proof for 8810685059466333531930913
1. ! [X0] : ((wise(X0) | old(X0)) <=> (~creative(X0) & funny(X0))) [input p0]
8. ! [X0] : ((old(X0) & happy(X0)) <=> (calm(X0) | ~strong(X0))) [input p7]
9. ! [X0] : ((funny(X0) | creative(X0)) => (~strong(X0... | 0 |
Everyone who is not patient or patient is not funny.
If someone is not creative then someone is both happy and brave and vice versa.
If alice is not humble or tall then susan is both not generous and humble.
If someone is both strong and funny then someone is both old and not wise and vice versa.
If someone is either n... | Alice is not strong. | entailment | (![X]:((~patient(X)|patient(X))=>~funny(X)))&
((?[X]:(~creative(X)))<=>(?[X]:((happy(X)&brave(X)))))&
(((~humble(alice)|tall(alice)))=>((~generous(susan)&humble(susan))))&
((?[X]:((strong(X)&funny(X))))<=>(?[X]:((old(X)&~wise(X)))))&
((?[X]:((~calm(X)<~>~generous(X))))<=>(?[X]:(~curious(X))))&
(![X]:((rich(X)<~>brave(X... | ~strong(alice) | [
"p0",
"p2",
"p9",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 897756325908559059018192
% SZS output start Proof for 897756325908559059018192
1. ! [X0] : ((patient(X0) | ~patient(X0)) => ~funny(X0)) [input p0]
3. (tall(alice) | ~humble(alice)) => (humble(susan) & ~generous(susan)) [input p2]
10. ! [X0] : ((old(X0) & ~humble(X0)) <=> (~funny(X0) & gen... | 0 |
If fred is rich then someone is not wise and vice versa.
Everyone who is rich or not quiet is either brave or not quiet and vice versa.
Everyone who is both happy and not kind is either not happy or brave and vice versa.
If john is either not quiet or not humble then someone is not strong and vice versa.
Everyone who i... | Susan is not calm. | entailment | ((rich(fred))<=>(?[X]:(~wise(X))))&
(![X]:((rich(X)|~quiet(X))<=>(brave(X)<~>~quiet(X))))&
(![X]:((happy(X)&~kind(X))<=>(~happy(X)<~>brave(X))))&
(((~quiet(john)<~>~humble(john)))<=>(?[X]:(~strong(X))))&
(![X]:((~humble(X)|kind(X))<=>(~humble(X)&brave(X))))&
(((~funny(susan)<~>calm(susan)))<=>(?[X]:((happy(X)|~rich(X))... | ~calm(susan) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 33598611356972427179885
% SZS output start Proof for 33598611356972427179885
2. ! [X0] : ((~quiet(X0) | rich(X0)) <=> (brave(X0) <~> ~quiet(X0))) [input p1]
3. ! [X0] : ((~kind(X0) & happy(X0)) <=> (~happy(X0) <~> brave(X0))) [input p2]
5. ! [X0] : ((kind(X0) | ~humble(X0)) <=> (brave(X0)... | 0 |
If john is either strong or not humble then john is both brave and not wise.
Everyone who is not funny or not wise is both strong and not wise.
Everyone who is both not curious and tall is both brave and not wise and vice versa.
Everyone who is both not tall and tall is not wise or not calm and vice versa.
Everyone who... | Alice is not rich. | contradiction | (((strong(john)<~>~humble(john)))=>((brave(john)&~wise(john))))&
(![X]:((~funny(X)|~wise(X))=>(strong(X)&~wise(X))))&
(![X]:((~curious(X)&tall(X))<=>(brave(X)&~wise(X))))&
(![X]:((~tall(X)&tall(X))<=>(~wise(X)|~calm(X))))&
(![X]:((generous(X)|~strong(X))<=>(~brave(X)<~>~funny(X))))&
(![X]:(rich(X)<=>(~happy(X)|~generou... | ~rich(alice) | [
"p1",
"p3",
"p5",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4827107258171683670139293
% SZS output start Proof for 4827107258171683670139293
2. ! [X0] : ((~wise(X0) | ~funny(X0)) => (~wise(X0) & strong(X0))) [input p1]
4. ! [X0] : ((tall(X0) & ~tall(X0)) <=> (~calm(X0) | ~wise(X0))) [input p3]
6. ! [X0] : (rich(X0) <=> (~generous(X0) | ~happy(X0))... | 0 |
If paul is both not tall and patient then someone is either not creative or curious and vice versa. Everyone who is not humble is either not creative or old and vice versa. Everyone who is both calm and not patient is patient or funny and vice versa. Everyone who is wise is either not kind or not humble and vice versa.... | Susan is not funny. | entailment | (((~tall(paul)&patient(paul)))<=>(?[X]:((~creative(X)<~>curious(X)))))&
(![X]:(~humble(X)<=>(~creative(X)<~>old(X))))&
(![X]:((calm(X)&~patient(X))<=>(patient(X)|funny(X))))&
(![X]:(wise(X)<=>(~kind(X)<~>~humble(X))))&
(![X]:((patient(X)&creative(X))<=>(~tall(X)|wise(X))))&
(((quiet(fred)&calm(fred)))=>(?[X]:(patient(X... | ~funny(susan) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 127150388581151751302932
% SZS output start Proof for 127150388581151751302932
1. (patient(paul) & ~tall(paul)) <=> ? [X0] : (~creative(X0) <~> curious(X0)) [input p0]
2. ! [X0] : (~humble(X0) <=> (~creative(X0) <~> old(X0))) [input p1]
3. ! [X0] : ((~patient(X0) & calm(X0)) <=> (funny(X0... | 0 |
Everyone who is not funny or funny is both not wise and not generous and vice versa.
If susan is not generous or rich then someone is either not funny or brave.
If someone is either not brave or not generous then john is not tall and vice versa.
Everyone who is either not wise or not funny is either not tall or not bra... | Fred is wise. | contradiction | (![X]:((~funny(X)|funny(X))<=>(~wise(X)&~generous(X))))&
(((~generous(susan)|rich(susan)))=>(?[X]:((~funny(X)<~>brave(X)))))&
((?[X]:((~brave(X)<~>~generous(X))))<=>(~tall(john)))&
(![X]:((~wise(X)<~>~funny(X))<=>(~tall(X)<~>~brave(X))))&
((?[X]:((~rich(X)&~patient(X))))=>(kind(lucy)))&
(![X]:((~wise(X)&patient(X))<=>(... | wise(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8580316227458755531226502
% SZS output start Proof for 8580316227458755531226502
1. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~generous(X0) & ~wise(X0))) [input p0]
25. wise(fred) [input hypothesis]
38. ! [X0] : (((funny(X0) | ~funny(X0)) | (generous(X0) | wise(X0))) & ((~generous(X0) & ~wi... | 0 |
Everyone who is not happy or not kind is calm or brave.
If lucy is not kind then someone is either calm or generous and vice versa.
If susan is both calm and not funny then susan is both kind and not strong and vice versa.
Everyone who is wise or brave is funny or not calm and vice versa.
Everyone who is kind is not hu... | Susan is not funny. | contradiction | (![X]:((~happy(X)|~kind(X))=>(calm(X)|brave(X))))&
((~kind(lucy))<=>(?[X]:((calm(X)<~>generous(X)))))&
(((calm(susan)&~funny(susan)))<=>((kind(susan)&~strong(susan))))&
(![X]:((wise(X)|brave(X))<=>(funny(X)|~calm(X))))&
(![X]:(kind(X)<=>~humble(X)))&
(![X]:((~humble(X)|happy(X))<=>(~funny(X)<~>rich(X))))&
(![X]:((kind(... | ~funny(susan) | [
"p7",
"p8",
"p13",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3665131420174480381556310
% SZS output start Proof for 3665131420174480381556310
8. ! [X0] : ((old(X0) <~> funny(X0)) => brave(X0)) [input p7]
9. ! [X0] : ((~generous(X0) <~> creative(X0)) <=> ~brave(X0)) [input p8]
14. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> (~old(X0) <~> ~humble(X0))) ... | 0 |
Everyone who is both not funny and patient is either not rich or wise and vice versa.
Everyone who is either not generous or quiet is generous or humble.
Everyone who is wise or not creative is either not happy or not curious and vice versa.
If someone is both not calm and not happy then someone is both not happy and n... | Mary is creative. | neutral | (![X]:((~funny(X)&patient(X))<=>(~rich(X)<~>wise(X))))&
(![X]:((~generous(X)<~>quiet(X))=>(generous(X)|humble(X))))&
(![X]:((wise(X)|~creative(X))<=>(~happy(X)<~>~curious(X))))&
((?[X]:((~calm(X)&~happy(X))))<=>(?[X]:((~happy(X)&~generous(X)))))&
((~tall(fred))=>((creative(alice)&~quiet(alice))))&
((?[X]:(~kind(X)))<=>... | creative(mary) | [] | null | 0 |
If alice is both not tall and not quiet then mary is either not creative or rich. Everyone who is tall or not generous is not strong or not curious and vice versa. If someone is either strong or humble then someone is either wise or not kind. Everyone who is not kind or patient is both not humble and generous. Everyone... | John is curious. | contradiction | (((~tall(alice)&~quiet(alice)))=>((~creative(mary)<~>rich(mary))))&
(![X]:((tall(X)|~generous(X))<=>(~strong(X)|~curious(X))))&
((?[X]:((strong(X)<~>humble(X))))=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((~kind(X)|patient(X))=>(~humble(X)&generous(X))))&
(![X]:((~brave(X)|tall(X))=>(~brave(X)<~>calm(X))))&
((?[X]:((~tall... | curious(john) | [
"p1",
"p2",
"p3",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3171628629429623551988008
% SZS output start Proof for 3171628629429623551988008
2. ! [X0] : ((~generous(X0) | tall(X0)) <=> (~curious(X0) | ~strong(X0))) [input p1]
3. ? [X0] : (strong(X0) <~> humble(X0)) => ? [X0] : (wise(X0) <~> ~kind(X0)) [input p2]
4. ! [X0] : ((patient(X0) | ~kind(X... | 0 |
If alice is brave or quiet then someone is brave or not rich.
If alice is humble then someone is both not old and not funny and vice versa.
Everyone who is either kind or creative is either wise or old and vice versa.
Everyone who is either tall or not strong is both tall and generous and vice versa.
Everyone who is no... | John is happy. | neutral | (((brave(alice)|quiet(alice)))=>(?[X]:((brave(X)|~rich(X)))))&
((humble(alice))<=>(?[X]:((~old(X)&~funny(X)))))&
(![X]:((kind(X)<~>creative(X))<=>(wise(X)<~>old(X))))&
(![X]:((tall(X)<~>~strong(X))<=>(tall(X)&generous(X))))&
(![X]:((~calm(X)|~strong(X))=>(tall(X)|strong(X))))&
(![X]:((brave(X)&~tall(X))<=>~old(X)))&
((... | happy(john) | [] | null | 0 |
Everyone who is not strong or not humble is both not generous and patient.
Everyone who is not happy is not old and vice versa.
If alice is wise then fred is not curious or not funny and vice versa.
If someone is creative then someone is both quiet and not wise.
If lucy is strong then fred is funny.
If mary is both cur... | Mary is generous. | contradiction | (![X]:((~strong(X)|~humble(X))=>(~generous(X)&patient(X))))&
(![X]:(~happy(X)<=>~old(X)))&
((wise(alice))<=>((~curious(fred)|~funny(fred))))&
((?[X]:(creative(X)))=>(?[X]:((quiet(X)&~wise(X)))))&
((strong(lucy))=>(funny(fred)))&
(((curious(mary)&calm(mary)))=>((patient(lucy)&~patient(lucy))))&
(![X]:((~wise(X)|~humble(... | generous(mary) | [
"p0",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7257949412038959732902997
% SZS output start Proof for 7257949412038959732902997
1. ! [X0] : ((~humble(X0) | ~strong(X0)) => (patient(X0) & ~generous(X0))) [input p0]
20. ~humble(mary) & kind(mary) [input p19]
25. generous(mary) [input hypothesis]
30. ! [X0] : ((patient(X0) & ~generous(X0... | 0 |
Everyone who is not humble or not wise is not funny or quiet and vice versa. Everyone who is not strong or not humble is both not strong and not calm and vice versa. Everyone who is both humble and not strong is both not happy and humble. Everyone who is tall is either not rich or not funny and vice versa. Everyone who... | John is wise. | contradiction | (![X]:((~humble(X)|~wise(X))<=>(~funny(X)|quiet(X))))&
(![X]:((~strong(X)|~humble(X))<=>(~strong(X)&~calm(X))))&
(![X]:((humble(X)&~strong(X))=>(~happy(X)&humble(X))))&
(![X]:(tall(X)<=>(~rich(X)<~>~funny(X))))&
(![X]:((brave(X)&~generous(X))<=>humble(X)))&
(((wise(lucy)|~happy(lucy)))<=>((brave(fred)|~kind(fred))))&
(... | wise(john) | [
"p1",
"p4",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 551333409816413216381768
% SZS output start Proof for 551333409816413216381768
2. ! [X0] : ((~humble(X0) | ~strong(X0)) <=> (~calm(X0) & ~strong(X0))) [input p1]
5. ! [X0] : ((~generous(X0) & brave(X0)) <=> humble(X0)) [input p4]
7. ! [X0] : (strong(X0) <=> (~brave(X0) & humble(X0))) [inp... | 0 |
If someone is either funny or happy then alice is not wise or not old.
If mary is either old or funny then susan is either not creative or humble.
If alice is both patient and generous then mary is old and vice versa.
If fred is happy or patient then fred is not quiet or not curious.
If someone is patient or not patien... | Mary is not happy. | contradiction | ((?[X]:((funny(X)<~>happy(X))))=>((~wise(alice)|~old(alice))))&
(((old(mary)<~>funny(mary)))=>((~creative(susan)<~>humble(susan))))&
(((patient(alice)&generous(alice)))<=>(old(mary)))&
(((happy(fred)|patient(fred)))=>((~quiet(fred)|~curious(fred))))&
((?[X]:((patient(X)|~patient(X))))<=>((wise(john)&kind(john))))&
(![X... | ~happy(mary) | [
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 188251652288125694466786
% SZS output start Proof for 188251652288125694466786
7. ! [X0] : ((~wise(X0) & ~generous(X0)) <=> brave(X0)) [input p6]
8. ! [X0] : (~brave(X0) => (tall(X0) & happy(X0))) [input p7]
10. ! [X0] : ((brave(X0) & wise(X0)) <=> (~patient(X0) | brave(X0))) [input p9]
2... | 0 |
Everyone who is either humble or brave is both strong and not quiet and vice versa. If paul is not wise then lucy is strong or creative. Everyone who is both not happy and strong is not funny or not curious and vice versa. Everyone who is both not funny and not happy is not strong or not funny and vice versa. Everyone ... | Fred is wise. | contradiction | (![X]:((humble(X)<~>brave(X))<=>(strong(X)&~quiet(X))))&
((~wise(paul))=>((strong(lucy)|creative(lucy))))&
(![X]:((~happy(X)&strong(X))<=>(~funny(X)|~curious(X))))&
(![X]:((~funny(X)&~happy(X))<=>(~strong(X)|~funny(X))))&
(![X]:((quiet(X)|wise(X))=>(~curious(X)&~funny(X))))&
(((rich(mary)<~>~tall(mary)))<=>(~quiet(susa... | wise(fred) | [
"p2",
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7451680327293978781715551
% SZS output start Proof for 7451680327293978781715551
3. ! [X0] : ((strong(X0) & ~happy(X0)) <=> (~curious(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> (~funny(X0) | ~strong(X0))) [input p3]
5. ! [X0] : ((wise(X0) | quiet(X0)) => (~fu... | 0 |
Everyone who is either creative or wise is not funny or tall and vice versa.
Everyone who is not calm or not kind is humble or not old and vice versa.
If someone is humble then alice is creative or not wise.
If someone is both funny and not calm then lucy is either wise or patient and vice versa.
Everyone who is either... | Fred is curious. | entailment | (![X]:((creative(X)<~>wise(X))<=>(~funny(X)|tall(X))))&
(![X]:((~calm(X)|~kind(X))<=>(humble(X)|~old(X))))&
((?[X]:(humble(X)))=>((creative(alice)|~wise(alice))))&
((?[X]:((funny(X)&~calm(X))))<=>((wise(lucy)<~>patient(lucy))))&
(![X]:((creative(X)<~>~calm(X))<=>(creative(X)<~>~funny(X))))&
((?[X]:((~tall(X)|~creative(... | curious(fred) | [
"p0",
"p4",
"p5",
"p6",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6389377337939801096576121
% SZS output start Proof for 6389377337939801096576121
1. ! [X0] : ((creative(X0) <~> wise(X0)) <=> (tall(X0) | ~funny(X0))) [input p0]
5. ! [X0] : ((creative(X0) <~> ~calm(X0)) <=> (creative(X0) <~> ~funny(X0))) [input p4]
6. ? [X0] : (~creative(X0) | ~tall(X0))... | 0 |
If susan is quiet or not old then someone is both not generous and not happy.
If fred is not tall or curious then paul is both not patient and not creative.
Everyone who is both not tall and not strong is quiet or not creative and vice versa.
If someone is both not creative and tall then john is not generous.
Everyone ... | Susan is calm. | entailment | (((quiet(susan)|~old(susan)))=>(?[X]:((~generous(X)&~happy(X)))))&
(((~tall(fred)|curious(fred)))=>((~patient(paul)&~creative(paul))))&
(![X]:((~tall(X)&~strong(X))<=>(quiet(X)|~creative(X))))&
((?[X]:((~creative(X)&tall(X))))=>(~generous(john)))&
(![X]:(~curious(X)<=>(~old(X)|~brave(X))))&
(((~calm(alice)|humble(alice... | calm(susan) | [
"p0",
"p6",
"p9",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8574466605020478394525882
% SZS output start Proof for 8574466605020478394525882
1. (~old(susan) | quiet(susan)) => ? [X0] : (~happy(X0) & ~generous(X0)) [input p0]
7. ! [X0] : ((kind(X0) | ~rich(X0)) <=> (tall(X0) <~> generous(X0))) [input p6]
10. ! [X0] : (brave(X0) <=> (~humble(X0) | s... | 0 |
Everyone who is both not happy and quiet is both not tall and curious. Everyone who is rich or tall is not brave. Everyone who is generous is old and vice versa. Everyone who is not brave is not old or not happy. If someone is both not funny and old then someone is not curious. Everyone who is rich is either humble or ... | Susan is not quiet. | entailment | (![X]:((~happy(X)&quiet(X))=>(~tall(X)&curious(X))))&
(![X]:((rich(X)|tall(X))=>~brave(X)))&
(![X]:(generous(X)<=>old(X)))&
(![X]:(~brave(X)=>(~old(X)|~happy(X))))&
((?[X]:((~funny(X)&old(X))))=>(?[X]:(~curious(X))))&
(![X]:(rich(X)=>(humble(X)<~>wise(X))))&
(![X]:(patient(X)<=>(~calm(X)|humble(X))))&
(((creative(lucy)... | ~quiet(susan) | [
"p0",
"p1",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3703466500955749642569608
% SZS output start Proof for 3703466500955749642569608
1. ! [X0] : ((quiet(X0) & ~happy(X0)) => (curious(X0) & ~tall(X0))) [input p0]
2. ! [X0] : ((tall(X0) | rich(X0)) => ~brave(X0)) [input p1]
8. (~creative(lucy) & creative(lucy)) <=> ? [X0] : (~tall(X0) & brav... | 0 |
Everyone who is quiet or wise is both calm and quiet.
Everyone who is not happy or not generous is not kind and vice versa.
If fred is patient then someone is not wise or creative and vice versa.
If someone is not brave then mary is both kind and not rich and vice versa.
Everyone who is not quiet is both humble and old... | Mary is strong. | neutral | (![X]:((quiet(X)|wise(X))=>(calm(X)&quiet(X))))&
(![X]:((~happy(X)|~generous(X))<=>~kind(X)))&
((patient(fred))<=>(?[X]:((~wise(X)|creative(X)))))&
((?[X]:(~brave(X)))<=>((kind(mary)&~rich(mary))))&
(![X]:(~quiet(X)<=>(humble(X)&old(X))))&
(![X]:((~humble(X)|~creative(X))=>~creative(X)))&
(![X]:((generous(X)|~calm(X))=... | strong(mary) | [] | null | 0 |
If someone is strong then mary is either funny or not tall and vice versa.
Everyone who is both calm and tall is not happy and vice versa.
Everyone who is kind or humble is both tall and not calm.
Everyone who is not old is not patient.
If susan is tall then someone is either not humble or not kind and vice versa.
If m... | Susan is strong. | contradiction | ((?[X]:(strong(X)))<=>((funny(mary)<~>~tall(mary))))&
(![X]:((calm(X)&tall(X))<=>~happy(X)))&
(![X]:((kind(X)|humble(X))=>(tall(X)&~calm(X))))&
(![X]:(~old(X)=>~patient(X)))&
((tall(susan))<=>(?[X]:((~humble(X)<~>~kind(X)))))&
(((~tall(mary)<~>~brave(mary)))=>(?[X]:((generous(X)<~>~patient(X)))))&
(![X]:((generous(X)<~... | strong(susan) | [
"p0",
"p2",
"p8",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1283517608820548176828534
% SZS output start Proof for 1283517608820548176828534
1. ? [X0] : strong(X0) <=> (funny(mary) <~> ~tall(mary)) [input p0]
3. ! [X0] : ((humble(X0) | kind(X0)) => (~calm(X0) & tall(X0))) [input p2]
9. ! [X0] : (generous(X0) => (rich(X0) & ~tall(X0))) [input p8]
1... | 0 |
If someone is old then someone is either wise or tall and vice versa.
If fred is either curious or patient then someone is both old and tall.
If alice is either not calm or not strong then someone is humble or rich.
Everyone who is not old or not humble is not strong or not calm and vice versa.
If lucy is either not qu... | Mary is not curious. | entailment | ((?[X]:(old(X)))<=>(?[X]:((wise(X)<~>tall(X)))))&
(((curious(fred)<~>patient(fred)))=>(?[X]:((old(X)&tall(X)))))&
(((~calm(alice)<~>~strong(alice)))=>(?[X]:((humble(X)|rich(X)))))&
(![X]:((~old(X)|~humble(X))<=>(~strong(X)|~calm(X))))&
(((~quiet(lucy)<~>~creative(lucy)))<=>(?[X]:((~funny(X)<~>kind(X)))))&
(![X]:((patie... | ~curious(mary) | [
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3337447342715574463468064
% SZS output start Proof for 3337447342715574463468064
16. ! [X0] : ((rich(X0) | humble(X0)) => (~curious(X0) & wise(X0))) [input p15]
22. humble(mary) & ~happy(mary) [input p21]
25. curious(mary) [input hypothesis]
27. humble(mary) [pure predicate removal 22]
33... | 0 |
Everyone who is either generous or wise is both not creative and calm. Everyone who is funny is both humble and not humble and vice versa. If john is not happy or patient then mary is not creative and vice versa. If mary is both not brave and not kind then someone is rich or not strong and vice versa. If someone is ric... | Mary is not humble. | contradiction | (![X]:((generous(X)<~>wise(X))=>(~creative(X)&calm(X))))&
(![X]:(funny(X)<=>(humble(X)&~humble(X))))&
(((~happy(john)|patient(john)))<=>(~creative(mary)))&
(((~brave(mary)&~kind(mary)))<=>(?[X]:((rich(X)|~strong(X)))))&
((?[X]:((rich(X)|~strong(X))))<=>(?[X]:(~humble(X))))&
(![X]:((patient(X)|generous(X))=>creative(X))... | ~humble(mary) | [
"p1",
"p3",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3408281066847198084924967
% SZS output start Proof for 3408281066847198084924967
2. ! [X0] : (funny(X0) <=> (~humble(X0) & humble(X0))) [input p1]
4. (~kind(mary) & ~brave(mary)) <=> ? [X0] : (~strong(X0) | rich(X0)) [input p3]
5. ? [X0] : (~strong(X0) | rich(X0)) <=> ? [X0] : ~humble(X0)... | 0 |
Everyone who is old is tall and vice versa.
Everyone who is either quiet or generous is both not rich and not funny.
Everyone who is either not strong or patient is humble or wise and vice versa.
If lucy is both quiet and not quiet then susan is curious and vice versa.
Everyone who is either not quiet or not tall is ei... | John is not calm. | entailment | (![X]:(old(X)<=>tall(X)))&
(![X]:((quiet(X)<~>generous(X))=>(~rich(X)&~funny(X))))&
(![X]:((~strong(X)<~>patient(X))<=>(humble(X)|wise(X))))&
(((quiet(lucy)&~quiet(lucy)))<=>(curious(susan)))&
(![X]:((~quiet(X)<~>~tall(X))<=>(~brave(X)<~>~creative(X))))&
((?[X]:((kind(X)<~>~brave(X))))<=>(?[X]:((patient(X)|kind(X)))))&... | ~calm(john) | [
"p1",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3319888759318598420990485
% SZS output start Proof for 3319888759318598420990485
2. ! [X0] : ((quiet(X0) <~> generous(X0)) => (~funny(X0) & ~rich(X0))) [input p1]
11. ! [X0] : (~generous(X0) <=> (kind(X0) | brave(X0))) [input p10]
12. ! [X0] : ((calm(X0) | strong(X0)) <=> quiet(X0)) [inpu... | 0 |
If someone is both humble and calm then someone is calm or not brave and vice versa.
If mary is both not calm and happy then lucy is either not strong or funny.
Everyone who is not generous or strong is either creative or not strong and vice versa.
If someone is brave or old then lucy is not old.
If alice is both tall ... | Susan is happy. | entailment | ((?[X]:((humble(X)&calm(X))))<=>(?[X]:((calm(X)|~brave(X)))))&
(((~calm(mary)&happy(mary)))=>((~strong(lucy)<~>funny(lucy))))&
(![X]:((~generous(X)|strong(X))<=>(creative(X)<~>~strong(X))))&
((?[X]:((brave(X)|old(X))))=>(~old(lucy)))&
(((tall(alice)&~funny(alice)))<=>(?[X]:(~humble(X))))&
(((tall(susan)&happy(susan)))<... | happy(susan) | [
"p2",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2341627514218809707780408
% SZS output start Proof for 2341627514218809707780408
3. ! [X0] : ((strong(X0) | ~generous(X0)) <=> (creative(X0) <~> ~strong(X0))) [input p2]
15. ! [X0] : ((happy(X0) & ~humble(X0)) <=> creative(X0)) [input p14]
16. ! [X0] : ((creative(X0) <~> ~strong(X0)) => (... | 0 |
If someone is both not quiet and quiet then mary is both quiet and not patient and vice versa. If alice is either quiet or not brave then paul is either strong or wise and vice versa. If someone is not rich then john is either not tall or happy and vice versa. Everyone who is either old or generous is either curious or... | Mary is tall. | contradiction | ((?[X]:((~quiet(X)&quiet(X))))<=>((quiet(mary)&~patient(mary))))&
(((quiet(alice)<~>~brave(alice)))<=>((strong(paul)<~>wise(paul))))&
((?[X]:(~rich(X)))<=>((~tall(john)<~>happy(john))))&
(![X]:((old(X)<~>generous(X))=>(curious(X)<~>~curious(X))))&
(![X]:((generous(X)&~rich(X))<=>(~old(X)&humble(X))))&
(![X]:(brave(X)<=... | tall(mary) | [
"p5",
"p7",
"p8",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8706659049378740457193626
% SZS output start Proof for 8706659049378740457193626
6. ! [X0] : (brave(X0) <=> ~kind(X0)) [input p5]
8. (wise(lucy) | old(lucy)) => (quiet(mary) <~> strong(mary)) [input p7]
9. ! [X0] : ((funny(X0) & ~brave(X0)) <=> ~funny(X0)) [input p8]
11. ! [X0] : ((strong... | 0 |
Everyone who is not kind is either brave or quiet.
If someone is both not brave and funny then mary is either wise or kind and vice versa.
If fred is not creative then paul is either not tall or not calm and vice versa.
If someone is creative or not humble then fred is both kind and rich and vice versa.
If someone is o... | Fred is not old. | entailment | (![X]:(~kind(X)=>(brave(X)<~>quiet(X))))&
((?[X]:((~brave(X)&funny(X))))<=>((wise(mary)<~>kind(mary))))&
((~creative(fred))<=>((~tall(paul)<~>~calm(paul))))&
((?[X]:((creative(X)|~humble(X))))<=>((kind(fred)&rich(fred))))&
((?[X]:((old(X)|generous(X))))=>(?[X]:((~happy(X)|generous(X)))))&
(![X]:((~curious(X)&curious(X)... | ~old(fred) | [
"p3",
"p8",
"p10",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3062557572647748128353138
% SZS output start Proof for 3062557572647748128353138
4. ? [X0] : (~humble(X0) | creative(X0)) <=> (rich(fred) & kind(fred)) [input p3]
9. ! [X0] : (quiet(X0) => (rich(X0) & ~old(X0))) [input p8]
11. ! [X0] : (~quiet(X0) => (~humble(X0) & tall(X0))) [input p10]
... | 0 |
If someone is both not brave and rich then someone is not brave or not humble and vice versa.
If someone is not generous then someone is both not humble and not rich.
Everyone who is brave or not kind is not tall and vice versa.
If someone is both generous and not creative then someone is either not strong or humble.
E... | Lucy is not kind. | contradiction | ((?[X]:((~brave(X)&rich(X))))<=>(?[X]:((~brave(X)|~humble(X)))))&
((?[X]:(~generous(X)))=>(?[X]:((~humble(X)&~rich(X)))))&
(![X]:((brave(X)|~kind(X))<=>~tall(X)))&
((?[X]:((generous(X)&~creative(X))))=>(?[X]:((~strong(X)<~>humble(X)))))&
(![X]:(calm(X)=>~quiet(X)))&
(((~rich(fred)|~happy(fred)))=>((funny(mary)<~>rich(m... | ~kind(lucy) | [
"p1",
"p3",
"p6",
"p8",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3715113248698054461478972
% SZS output start Proof for 3715113248698054461478972
2. ? [X0] : ~generous(X0) => ? [X0] : (~rich(X0) & ~humble(X0)) [input p1]
4. ? [X0] : (~creative(X0) & generous(X0)) => ? [X0] : (~strong(X0) <~> humble(X0)) [input p3]
7. ! [X0] : ((strong(X0) | ~calm(X0)) ... | 0 |
If alice is not funny or not strong then someone is not calm and vice versa. If someone is both generous and not quiet then john is not humble or funny and vice versa. If someone is kind then lucy is both not patient and creative and vice versa. Everyone who is either not brave or not creative is both not generous and ... | Fred is not happy. | neutral | (((~funny(alice)|~strong(alice)))<=>(?[X]:(~calm(X))))&
((?[X]:((generous(X)&~quiet(X))))<=>((~humble(john)|funny(john))))&
((?[X]:(kind(X)))<=>((~patient(lucy)&creative(lucy))))&
(![X]:((~brave(X)<~>~creative(X))<=>(~generous(X)&~rich(X))))&
(![X]:((creative(X)|wise(X))<=>generous(X)))&
(![X]:(old(X)<=>~calm(X)))&
((?... | ~happy(fred) | [] | null | 0 |
If someone is not funny then someone is not rich or kind and vice versa. Everyone who is not old is both strong and not curious. Everyone who is calm or wise is both patient and strong. Everyone who is both not funny and patient is both calm and not rich and vice versa. If someone is brave or not strong then someone is... | Fred is not calm. | contradiction | ((?[X]:(~funny(X)))<=>(?[X]:((~rich(X)|kind(X)))))&
(![X]:(~old(X)=>(strong(X)&~curious(X))))&
(![X]:((calm(X)|wise(X))=>(patient(X)&strong(X))))&
(![X]:((~funny(X)&patient(X))<=>(calm(X)&~rich(X))))&
((?[X]:((brave(X)|~strong(X))))=>(?[X]:((tall(X)|kind(X)))))&
(![X]:((funny(X)|~tall(X))<=>(calm(X)&~tall(X))))&
(![X]:... | ~calm(fred) | [
"p2",
"p3",
"p5",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2865567136464077624791718
% SZS output start Proof for 2865567136464077624791718
3. ! [X0] : ((wise(X0) | calm(X0)) => (strong(X0) & patient(X0))) [input p2]
4. ! [X0] : ((patient(X0) & ~funny(X0)) <=> (~rich(X0) & calm(X0))) [input p3]
6. ! [X0] : ((~tall(X0) | funny(X0)) <=> (~tall(X0) ... | 0 |
Everyone who is quiet or not curious is rich or not creative and vice versa.
If john is patient or not quiet then someone is both not creative and creative and vice versa.
If paul is both funny and generous then john is not old or not generous.
Everyone who is not humble is quiet or brave and vice versa.
Everyone who i... | Paul is creative. | neutral | (![X]:((quiet(X)|~curious(X))<=>(rich(X)|~creative(X))))&
(((patient(john)|~quiet(john)))<=>(?[X]:((~creative(X)&creative(X)))))&
(((funny(paul)&generous(paul)))=>((~old(john)|~generous(john))))&
(![X]:(~humble(X)<=>(quiet(X)|brave(X))))&
(![X]:((curious(X)&quiet(X))<=>(~old(X)&~tall(X))))&
((?[X]:((happy(X)|strong(X))... | creative(paul) | [] | null | 0 |
Everyone who is not wise is either not tall or quiet and vice versa.
Everyone who is calm or not happy is brave or funny.
Everyone who is either generous or not calm is either not funny or not tall.
Everyone who is either kind or wise is strong and vice versa.
Everyone who is both not funny and calm is both humble and ... | Fred is not happy. | neutral | (![X]:(~wise(X)<=>(~tall(X)<~>quiet(X))))&
(![X]:((calm(X)|~happy(X))=>(brave(X)|funny(X))))&
(![X]:((generous(X)<~>~calm(X))=>(~funny(X)<~>~tall(X))))&
(![X]:((kind(X)<~>wise(X))<=>strong(X)))&
(![X]:((~funny(X)&calm(X))<=>(humble(X)&~humble(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(~wise(X)&~strong(X))))&
(((~wise(john)... | ~happy(fred) | [] | null | 0 |
Everyone who is either wise or rich is not curious and vice versa. Everyone who is both not strong and rich is not patient or not humble and vice versa. Everyone who is kind or not patient is not creative or wise and vice versa. Everyone who is not old is either not calm or not wise and vice versa. Everyone who is wise... | Susan is old. | entailment | (![X]:((wise(X)<~>rich(X))<=>~curious(X)))&
(![X]:((~strong(X)&rich(X))<=>(~patient(X)|~humble(X))))&
(![X]:((kind(X)|~patient(X))<=>(~creative(X)|wise(X))))&
(![X]:(~old(X)<=>(~calm(X)<~>~wise(X))))&
(![X]:(wise(X)<=>(happy(X)|brave(X))))&
(![X]:((~generous(X)&~quiet(X))=>(~tall(X)|~old(X))))&
((?[X]:(~wise(X)))<=>((c... | old(susan) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 581576723025494947153382
% SZS output start Proof for 581576723025494947153382
15. ! [X0] : ((humble(X0) <~> ~humble(X0)) => ~humble(X0)) [input p14]
20. humble(susan) <~> old(susan) [input p19]
24. ~old(susan) [input hypothesis]
34. ! [X0] : (~humble(X0) | (humble(X0) <=> ~humble(X0))) [... | 0 |
Everyone who is not curious is kind.
If someone is quiet or not wise then someone is both not calm and creative and vice versa.
If lucy is not kind then susan is either patient or not creative.
If john is either not patient or not creative then alice is both not rich and rich.
If someone is either creative or not creat... | John is not patient. | contradiction | (![X]:(~curious(X)=>kind(X)))&
((?[X]:((quiet(X)|~wise(X))))<=>(?[X]:((~calm(X)&creative(X)))))&
((~kind(lucy))=>((patient(susan)<~>~creative(susan))))&
(((~patient(john)<~>~creative(john)))=>((~rich(alice)&rich(alice))))&
((?[X]:((creative(X)<~>~creative(X))))<=>(patient(lucy)))&
(![X]:((~patient(X)|~tall(X))=>(~tall(... | ~patient(john) | [
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4664618176185364644236843
% SZS output start Proof for 4664618176185364644236843
10. ! [X0] : ((calm(X0) | generous(X0)) <=> (~funny(X0) & wise(X0))) [input p9]
15. ! [X0] : ((~patient(X0) | ~quiet(X0)) <=> (funny(X0) & ~generous(X0))) [input p14]
18. calm(john) [input p17]
25. ~patient(j... | 0 |
Everyone who is not generous is both rich and not curious and vice versa. If john is both happy and brave then someone is wise or tall. Everyone who is either not strong or wise is tall. If someone is both patient and not kind then someone is strong. If alice is generous or kind then someone is either not rich or not g... | Susan is not rich. | entailment | (![X]:(~generous(X)<=>(rich(X)&~curious(X))))&
(((happy(john)&brave(john)))=>(?[X]:((wise(X)|tall(X)))))&
(![X]:((~strong(X)<~>wise(X))=>tall(X)))&
((?[X]:((patient(X)&~kind(X))))=>(?[X]:(strong(X))))&
(((generous(alice)|kind(alice)))<=>(?[X]:((~rich(X)<~>~generous(X)))))&
(![X]:((strong(X)&rich(X))<=>(~happy(X)&tall(X... | ~rich(susan) | [
"p2",
"p5",
"p7",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 611502260781560082967044
% SZS output start Proof for 611502260781560082967044
3. ! [X0] : ((~strong(X0) <~> wise(X0)) => tall(X0)) [input p2]
6. ! [X0] : ((rich(X0) & strong(X0)) <=> (tall(X0) & ~happy(X0))) [input p5]
8. ! [X0] : ((~funny(X0) | humble(X0)) <=> ~brave(X0)) [input p7]
11.... | 0 |
If someone is either quiet or not generous then someone is either tall or creative.
Everyone who is either not brave or rich is not funny.
If someone is not wise or rich then paul is generous.
Everyone who is both generous and creative is both not happy and not rich and vice versa.
If someone is not creative or tall th... | Paul is funny. | neutral | ((?[X]:((quiet(X)<~>~generous(X))))=>(?[X]:((tall(X)<~>creative(X)))))&
(![X]:((~brave(X)<~>rich(X))=>~funny(X)))&
((?[X]:((~wise(X)|rich(X))))=>(generous(paul)))&
(![X]:((generous(X)&creative(X))<=>(~happy(X)&~rich(X))))&
((?[X]:((~creative(X)|tall(X))))=>(?[X]:(quiet(X))))&
((?[X]:((quiet(X)<~>~curious(X))))=>(?[X]:(... | funny(paul) | [] | null | 0 |
Everyone who is both not quiet and generous is either tall or not curious and vice versa.
If someone is not humble or not generous then alice is either quiet or not brave and vice versa.
If fred is either not strong or creative then alice is either brave or curious.
If someone is strong then someone is rich or not humb... | Lucy is not quiet. | neutral | (![X]:((~quiet(X)&generous(X))<=>(tall(X)<~>~curious(X))))&
((?[X]:((~humble(X)|~generous(X))))<=>((quiet(alice)<~>~brave(alice))))&
(((~strong(fred)<~>creative(fred)))=>((brave(alice)<~>curious(alice))))&
((?[X]:(strong(X)))=>(?[X]:((rich(X)|~humble(X)))))&
((?[X]:((~quiet(X)|~creative(X))))<=>(?[X]:((rich(X)|~happy(X... | ~quiet(lucy) | [] | null | 0 |
If someone is both not tall and not old then paul is not tall and vice versa. Everyone who is either not creative or wise is not old. Everyone who is either not brave or not creative is happy and vice versa. If someone is either not calm or tall then someone is either kind or not tall. Everyone who is funny is not rich... | Fred is not generous. | neutral | ((?[X]:((~tall(X)&~old(X))))<=>(~tall(paul)))&
(![X]:((~creative(X)<~>wise(X))=>~old(X)))&
(![X]:((~brave(X)<~>~creative(X))<=>happy(X)))&
((?[X]:((~calm(X)<~>tall(X))))=>(?[X]:((kind(X)<~>~tall(X)))))&
(![X]:(funny(X)<=>(~rich(X)|rich(X))))&
(![X]:((curious(X)<~>patient(X))<=>~creative(X)))&
(![X]:(~kind(X)=>(humble(X... | ~generous(fred) | [] | null | 0 |
Everyone who is not kind is rich and vice versa.
Everyone who is not wise is not curious or not patient and vice versa.
Everyone who is either brave or strong is not creative or happy and vice versa.
If someone is old then someone is brave or not funny and vice versa.
If someone is strong or brave then lucy is not humb... | Susan is quiet. | neutral | (![X]:(~kind(X)<=>rich(X)))&
(![X]:(~wise(X)<=>(~curious(X)|~patient(X))))&
(![X]:((brave(X)<~>strong(X))<=>(~creative(X)|happy(X))))&
((?[X]:(old(X)))<=>(?[X]:((brave(X)|~funny(X)))))&
((?[X]:((strong(X)|brave(X))))=>((~humble(lucy)|calm(lucy))))&
(((~humble(john)|~quiet(john)))<=>((kind(john)<~>~strong(john))))&
((~s... | quiet(susan) | [] | null | 0 |
Everyone who is not kind or not brave is strong and vice versa.
Everyone who is strong or not old is either wise or curious.
Everyone who is not tall or kind is old or not generous and vice versa.
If fred is both humble and not happy then lucy is not wise.
If someone is patient then alice is wise or not brave.
If someo... | John is not generous. | neutral | (![X]:((~kind(X)|~brave(X))<=>strong(X)))&
(![X]:((strong(X)|~old(X))=>(wise(X)<~>curious(X))))&
(![X]:((~tall(X)|kind(X))<=>(old(X)|~generous(X))))&
(((humble(fred)&~happy(fred)))=>(~wise(lucy)))&
((?[X]:(patient(X)))=>((wise(alice)|~brave(alice))))&
((?[X]:((tall(X)<~>~brave(X))))<=>(?[X]:((~quiet(X)&~generous(X)))))... | ~generous(john) | [] | null | 0 |
Everyone who is either rich or not calm is not wise or creative.
If someone is either brave or curious then alice is brave or funny.
If paul is either quiet or not creative then mary is humble.
Everyone who is not curious or kind is not patient or not rich and vice versa.
Everyone who is both not humble and happy is bo... | Fred is not happy. | contradiction | (![X]:((rich(X)<~>~calm(X))=>(~wise(X)|creative(X))))&
((?[X]:((brave(X)<~>curious(X))))=>((brave(alice)|funny(alice))))&
(((quiet(paul)<~>~creative(paul)))=>(humble(mary)))&
(![X]:((~curious(X)|kind(X))<=>(~patient(X)|~rich(X))))&
(![X]:((~humble(X)&happy(X))=>(~kind(X)&~curious(X))))&
((?[X]:((happy(X)|~humble(X))))=... | ~happy(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3797054843404403411162901
% SZS output start Proof for 3797054843404403411162901
13. ? [X0] : ~happy(X0) <=> (~quiet(alice) & quiet(alice)) [input p12]
25. ~happy(fred) [input hypothesis]
56. (? [X0] : ~happy(X0) | (quiet(alice) | ~quiet(alice))) & ((~quiet(alice) & quiet(alice)) | ! [X0]... | 0 |
Everyone who is either creative or wise is not funny. If fred is either not funny or strong then someone is not happy or quiet. Everyone who is quiet is not calm or not kind and vice versa. If someone is either not brave or strong then someone is not old. If someone is not patient or patient then lucy is both wise and ... | Fred is not kind. | neutral | (![X]:((creative(X)<~>wise(X))=>~funny(X)))&
(((~funny(fred)<~>strong(fred)))=>(?[X]:((~happy(X)|quiet(X)))))&
(![X]:(quiet(X)<=>(~calm(X)|~kind(X))))&
((?[X]:((~brave(X)<~>strong(X))))=>(?[X]:(~old(X))))&
((?[X]:((~patient(X)|patient(X))))<=>((wise(lucy)&old(lucy))))&
(((~creative(susan)&quiet(susan)))<=>(?[X]:(patien... | ~kind(fred) | [] | null | 0 |
Everyone who is either not wise or quiet is tall or not patient.
Everyone who is not calm is not patient.
Everyone who is not generous or not kind is not rich and vice versa.
If someone is either patient or not wise then john is not creative.
If paul is brave or wise then someone is kind and vice versa.
Everyone who is... | Lucy is not tall. | entailment | (![X]:((~wise(X)<~>quiet(X))=>(tall(X)|~patient(X))))&
(![X]:(~calm(X)=>~patient(X)))&
(![X]:((~generous(X)|~kind(X))<=>~rich(X)))&
((?[X]:((patient(X)<~>~wise(X))))=>(~creative(john)))&
(((brave(paul)|wise(paul)))<=>(?[X]:(kind(X))))&
(![X]:((tall(X)<~>old(X))=>(~brave(X)&happy(X))))&
(![X]:((wise(X)&~quiet(X))=>(humb... | ~tall(lucy) | [
"p1",
"p2",
"p9",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 376509769298426926879188
% SZS output start Proof for 376509769298426926879188
2. ! [X0] : (~calm(X0) => ~patient(X0)) [input p1]
3. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> ~rich(X0)) [input p2]
10. ! [X0] : ((~generous(X0) | ~calm(X0)) <=> (~creative(X0) & ~patient(X0))) [input p9]
15.... | 0 |
Everyone who is either humble or quiet is curious.
Everyone who is not patient is tall or kind and vice versa.
If someone is tall or not creative then john is not calm and vice versa.
Everyone who is either not happy or old is either wise or not happy.
Everyone who is kind or not funny is both not creative and not funn... | Susan is not patient. | entailment | (![X]:((humble(X)<~>quiet(X))=>curious(X)))&
(![X]:(~patient(X)<=>(tall(X)|kind(X))))&
((?[X]:((tall(X)|~creative(X))))<=>(~calm(john)))&
(![X]:((~happy(X)<~>old(X))=>(wise(X)<~>~happy(X))))&
(![X]:((kind(X)|~funny(X))<=>(~creative(X)&~funny(X))))&
(((funny(susan)|kind(susan)))=>((kind(susan)|~funny(susan))))&
((?[X]:(... | ~patient(susan) | [
"p1",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6615623889980160637342835
% SZS output start Proof for 6615623889980160637342835
2. ! [X0] : (~patient(X0) <=> (kind(X0) | tall(X0))) [input p1]
7. ? [X0] : (~patient(X0) <~> old(X0)) => (tall(susan) <~> kind(susan)) [input p6]
16. ! [X0] : ((~generous(X0) | ~old(X0)) => ~patient(X0)) [in... | 0 |
If someone is both calm and patient then someone is not generous or quiet and vice versa.
If alice is humble then paul is either wise or calm.
If someone is either humble or not humble then someone is both not creative and not kind.
If someone is patient or not creative then someone is either not old or strong.
Everyon... | Susan is not old. | contradiction | ((?[X]:((calm(X)&patient(X))))<=>(?[X]:((~generous(X)|quiet(X)))))&
((humble(alice))=>((wise(paul)<~>calm(paul))))&
((?[X]:((humble(X)<~>~humble(X))))=>(?[X]:((~creative(X)&~kind(X)))))&
((?[X]:((patient(X)|~creative(X))))=>(?[X]:((~old(X)<~>strong(X)))))&
(![X]:((~creative(X)<~>~kind(X))<=>(~patient(X)&~funny(X))))&
(... | ~old(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1602163070807655443487996
% SZS output start Proof for 1602163070807655443487996
17. old(susan) [input p16]
25. ~old(susan) [input hypothesis]
159. old(susan) [cnf transformation 17]
169. ~old(susan) [cnf transformation 25]
440. $false [subsumption resolution 169,159]
% SZS output end Pro... | 0 |
Everyone who is both old and not strong is either not wise or creative.
If someone is both not generous and patient then someone is both kind and not kind.
If fred is both wise and generous then paul is either funny or creative and vice versa.
If someone is both happy and patient then mary is wise or generous and vice ... | John is not rich. | entailment | (![X]:((old(X)&~strong(X))=>(~wise(X)<~>creative(X))))&
((?[X]:((~generous(X)&patient(X))))=>(?[X]:((kind(X)&~kind(X)))))&
(((wise(fred)&generous(fred)))<=>((funny(paul)<~>creative(paul))))&
((?[X]:((happy(X)&patient(X))))<=>((wise(mary)|generous(mary))))&
(![X]:((generous(X)&~quiet(X))<=>~old(X)))&
(![X]:(~curious(X)=... | ~rich(john) | [
"p4",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8708361314330238523939392
% SZS output start Proof for 8708361314330238523939392
5. ! [X0] : ((~quiet(X0) & generous(X0)) <=> ~old(X0)) [input p4]
9. ! [X0] : ((old(X0) | creative(X0)) => ~quiet(X0)) [input p8]
15. ! [X0] : ((~rich(X0) | ~quiet(X0)) <=> (quiet(X0) <~> ~rich(X0))) [input p... | 0 |
If someone is not funny or happy then someone is wise or curious and vice versa. If mary is both patient and not generous then someone is not calm or humble. Everyone who is either rich or calm is strong or not creative and vice versa. Everyone who is both not humble and not patient is both brave and not wise and vice ... | Susan is not happy. | neutral | ((?[X]:((~funny(X)|happy(X))))<=>(?[X]:((wise(X)|curious(X)))))&
(((patient(mary)&~generous(mary)))=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:((rich(X)<~>calm(X))<=>(strong(X)|~creative(X))))&
(![X]:((~humble(X)&~patient(X))<=>(brave(X)&~wise(X))))&
((?[X]:(~old(X)))<=>((quiet(john)&~tall(john))))&
(![X]:((funny(X)<~>~fun... | ~happy(susan) | [] | null | 0 |
Everyone who is both not calm and kind is not creative or not funny and vice versa.
Everyone who is not patient or quiet is not quiet and vice versa.
Everyone who is both strong and not humble is not humble or not calm and vice versa.
Everyone who is not kind or creative is either strong or old and vice versa.
If mary ... | John is strong. | entailment | (![X]:((~calm(X)&kind(X))<=>(~creative(X)|~funny(X))))&
(![X]:((~patient(X)|quiet(X))<=>~quiet(X)))&
(![X]:((strong(X)&~humble(X))<=>(~humble(X)|~calm(X))))&
(![X]:((~kind(X)|creative(X))<=>(strong(X)<~>old(X))))&
(((~curious(mary)|~humble(mary)))<=>(?[X]:((patient(X)|funny(X)))))&
((?[X]:(humble(X)))=>(?[X]:((calm(X)|... | strong(john) | [
"p0",
"p1",
"p2",
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1242349113469436086149955
% SZS output start Proof for 1242349113469436086149955
1. ! [X0] : ((kind(X0) & ~calm(X0)) <=> (~funny(X0) | ~creative(X0))) [input p0]
2. ! [X0] : ((quiet(X0) | ~patient(X0)) <=> ~quiet(X0)) [input p1]
3. ! [X0] : ((~humble(X0) & strong(X0)) <=> (~calm(X0) | ~hu... | 0 |
Everyone who is either not curious or calm is both humble and generous. Everyone who is not generous is both humble and creative. If john is not curious then susan is not generous or quiet and vice versa. If john is not kind then susan is not tall or funny and vice versa. If someone is either patient or not creative th... | Mary is humble. | entailment | (![X]:((~curious(X)<~>calm(X))=>(humble(X)&generous(X))))&
(![X]:(~generous(X)=>(humble(X)&creative(X))))&
((~curious(john))<=>((~generous(susan)|quiet(susan))))&
((~kind(john))<=>((~tall(susan)|funny(susan))))&
((?[X]:((patient(X)<~>~creative(X))))<=>((strong(mary)<~>quiet(mary))))&
(![X]:(~calm(X)<=>~patient(X)))&
((... | humble(mary) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5756733627440311704789901
% SZS output start Proof for 5756733627440311704789901
2. ! [X0] : (~generous(X0) => (creative(X0) & humble(X0))) [input p1]
7. ? [X0] : generous(X0) => ? [X0] : (~generous(X0) & ~humble(X0)) [input p6]
23. ~humble(mary) [input hypothesis]
24. ? [X0] : generous(X... | 0 |
Everyone who is patient or not patient is calm or tall. Everyone who is both not rich and not humble is both generous and not quiet and vice versa. If paul is tall then fred is both kind and not happy and vice versa. Everyone who is both brave and old is not tall and vice versa. If john is not rich or not tall then pau... | Paul is calm. | entailment | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(X))))&
(![X]:((~rich(X)&~humble(X))<=>(generous(X)&~quiet(X))))&
((tall(paul))<=>((kind(fred)&~happy(fred))))&
(![X]:((brave(X)&old(X))<=>~tall(X)))&
(((~rich(john)|~tall(john)))=>((wise(paul)&generous(paul))))&
(![X]:((funny(X)|calm(X))<=>(~tall(X)&wise(X))))&
(![X]:(tall... | calm(paul) | [
"p0",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 56797026226767818261731
% SZS output start Proof for 56797026226767818261731
1. ! [X0] : ((~patient(X0) | patient(X0)) => (tall(X0) | calm(X0))) [input p0]
6. ! [X0] : ((calm(X0) | funny(X0)) <=> (wise(X0) & ~tall(X0))) [input p5]
7. ! [X0] : (tall(X0) => (~happy(X0) & funny(X0))) [input ... | 0 |
If susan is both not happy and kind then someone is either not calm or wise and vice versa.
Everyone who is either happy or not humble is humble or tall and vice versa.
Everyone who is kind or calm is both patient and not quiet and vice versa.
Everyone who is not rich or happy is not kind.
Everyone who is either patien... | Lucy is not strong. | entailment | (((~happy(susan)&kind(susan)))<=>(?[X]:((~calm(X)<~>wise(X)))))&
(![X]:((happy(X)<~>~humble(X))<=>(humble(X)|tall(X))))&
(![X]:((kind(X)|calm(X))<=>(patient(X)&~quiet(X))))&
(![X]:((~rich(X)|happy(X))=>~kind(X)))&
(![X]:((patient(X)<~>generous(X))<=>(kind(X)&happy(X))))&
(((~rich(john)<~>old(john)))<=>((humble(paul)<~>... | ~strong(lucy) | [
"p2",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4709553445797034250580595
% SZS output start Proof for 4709553445797034250580595
3. ! [X0] : ((calm(X0) | kind(X0)) <=> (~quiet(X0) & patient(X0))) [input p2]
13. ! [X0] : ((old(X0) & ~patient(X0)) <=> strong(X0)) [input p12]
16. ? [X0] : old(X0) <=> (strong(john) & kind(john)) [input p15... | 0 |
Everyone who is not brave or curious is both patient and curious.
If someone is not generous then john is both rich and not funny.
Everyone who is happy is either patient or not tall and vice versa.
If lucy is either tall or happy then lucy is either not curious or not quiet.
Everyone who is tall is not creative or not... | John is tall. | neutral | (![X]:((~brave(X)|curious(X))=>(patient(X)&curious(X))))&
((?[X]:(~generous(X)))=>((rich(john)&~funny(john))))&
(![X]:(happy(X)<=>(patient(X)<~>~tall(X))))&
(((tall(lucy)<~>happy(lucy)))=>((~curious(lucy)<~>~quiet(lucy))))&
(![X]:(tall(X)=>(~creative(X)|~tall(X))))&
(![X]:((happy(X)<~>~rich(X))<=>(~kind(X)&old(X))))&
(... | tall(john) | [] | null | 0 |
Everyone who is wise or not wise is both creative and not brave and vice versa.
Everyone who is tall is both humble and not happy and vice versa.
Everyone who is both humble and not calm is creative or tall.
Everyone who is quiet is not funny.
Everyone who is both brave and calm is patient.
If susan is either not happy... | Alice is creative. | entailment | (![X]:((wise(X)|~wise(X))<=>(creative(X)&~brave(X))))&
(![X]:(tall(X)<=>(humble(X)&~happy(X))))&
(![X]:((humble(X)&~calm(X))=>(creative(X)|tall(X))))&
(![X]:(quiet(X)=>~funny(X)))&
(![X]:((brave(X)&calm(X))=>patient(X)))&
(((~happy(susan)<~>strong(susan)))<=>((~curious(alice)|~generous(alice))))&
(((creative(susan)<~>g... | creative(alice) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1517963830574915749572147
% SZS output start Proof for 1517963830574915749572147
1. ! [X0] : ((~wise(X0) | wise(X0)) <=> (~brave(X0) & creative(X0))) [input p0]
24. ~creative(alice) [input hypothesis]
34. ! [X0] : (((~wise(X0) | wise(X0)) | (brave(X0) | ~creative(X0))) & ((~brave(X0) & cr... | 0 |
Everyone who is not humble is both tall and brave. Everyone who is curious or not funny is kind. Everyone who is either not calm or old is both generous and quiet. If john is either happy or curious then someone is both not creative and not kind and vice versa. Everyone who is not patient or calm is quiet. If fred is n... | Lucy is not funny. | contradiction | (![X]:(~humble(X)=>(tall(X)&brave(X))))&
(![X]:((curious(X)|~funny(X))=>kind(X)))&
(![X]:((~calm(X)<~>old(X))=>(generous(X)&quiet(X))))&
(((happy(john)<~>curious(john)))<=>(?[X]:((~creative(X)&~kind(X)))))&
(![X]:((~patient(X)|calm(X))=>quiet(X)))&
(((~funny(fred)|~old(fred)))<=>(rich(susan)))&
(![X]:((patient(X)|happy... | ~funny(lucy) | [
"p1",
"p4",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5057221260207241692184525
% SZS output start Proof for 5057221260207241692184525
2. ! [X0] : ((~funny(X0) | curious(X0)) => kind(X0)) [input p1]
5. ! [X0] : ((calm(X0) | ~patient(X0)) => quiet(X0)) [input p4]
8. ! [X0] : (~kind(X0) <=> (~quiet(X0) <~> ~humble(X0))) [input p7]
9. ! [X0] : ... | 0 |
If alice is both generous and funny then someone is both not patient and curious and vice versa.
Everyone who is funny is either old or strong.
Everyone who is not tall is not happy or not tall.
If someone is both generous and brave then lucy is both not kind and funny and vice versa.
Everyone who is not wise or humble... | Susan is old. | contradiction | (((generous(alice)&funny(alice)))<=>(?[X]:((~patient(X)&curious(X)))))&
(![X]:(funny(X)=>(old(X)<~>strong(X))))&
(![X]:(~tall(X)=>(~happy(X)|~tall(X))))&
((?[X]:((generous(X)&brave(X))))<=>((~kind(lucy)&funny(lucy))))&
(![X]:((~wise(X)|humble(X))=>(patient(X)&~tall(X))))&
(![X]:((wise(X)&funny(X))<=>(humble(X)<~>~happy... | old(susan) | [
"p1",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 802272246876435394357058
% SZS output start Proof for 802272246876435394357058
2. ! [X0] : (funny(X0) => (old(X0) <~> strong(X0))) [input p1]
14. ! [X0] : ((strong(X0) & rich(X0)) <=> (kind(X0) | ~kind(X0))) [input p13]
21. funny(susan) [input p20]
23. old(susan) [input hypothesis]
27. ! ... | 0 |
If someone is not funny then someone is either creative or funny. Everyone who is tall or not wise is not calm or kind and vice versa. Everyone who is both not creative and old is brave or not strong and vice versa. Everyone who is tall is not brave. Everyone who is either brave or not quiet is either not patient or fu... | Susan is generous. | contradiction | ((?[X]:(~funny(X)))=>(?[X]:((creative(X)<~>funny(X)))))&
(![X]:((tall(X)|~wise(X))<=>(~calm(X)|kind(X))))&
(![X]:((~creative(X)&old(X))<=>(brave(X)|~strong(X))))&
(![X]:(tall(X)=>~brave(X)))&
(![X]:((brave(X)<~>~quiet(X))<=>(~patient(X)<~>funny(X))))&
(![X]:((tall(X)|~brave(X))<=>(~curious(X)<~>~creative(X))))&
((?[X]:... | generous(susan) | [
"p2",
"p6",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2341891726839035435416011
% SZS output start Proof for 2341891726839035435416011
3. ! [X0] : ((old(X0) & ~creative(X0)) <=> (~strong(X0) | brave(X0))) [input p2]
7. ? [X0] : (brave(X0) & humble(X0)) => ~generous(susan) [input p6]
16. ! [X0] : ((humble(X0) | creative(X0)) <=> (~creative(X0... | 0 |
Everyone who is not kind is both not quiet and patient.
Everyone who is both not generous and creative is both not humble and not calm and vice versa.
If john is creative or not creative then someone is not creative.
If someone is either not curious or patient then fred is either kind or calm and vice versa.
Everyone w... | Paul is not kind. | neutral | (![X]:(~kind(X)=>(~quiet(X)&patient(X))))&
(![X]:((~generous(X)&creative(X))<=>(~humble(X)&~calm(X))))&
(((creative(john)|~creative(john)))=>(?[X]:(~creative(X))))&
((?[X]:((~curious(X)<~>patient(X))))<=>((kind(fred)<~>calm(fred))))&
(![X]:((~generous(X)|old(X))=>(~strong(X)|calm(X))))&
(![X]:((~strong(X)<~>~creative(X... | ~kind(paul) | [] | null | 0 |
Everyone who is not kind is happy and vice versa. Everyone who is either not curious or tall is not tall and vice versa. If someone is either tall or not wise then mary is not generous or wise. Everyone who is not curious or not strong is not creative. If someone is not tall then someone is generous. Everyone who is bo... | Fred is not strong. | contradiction | (![X]:(~kind(X)<=>happy(X)))&
(![X]:((~curious(X)<~>tall(X))<=>~tall(X)))&
((?[X]:((tall(X)<~>~wise(X))))=>((~generous(mary)|wise(mary))))&
(![X]:((~curious(X)|~strong(X))=>~creative(X)))&
((?[X]:(~tall(X)))=>(?[X]:(generous(X))))&
(![X]:((quiet(X)&rich(X))<=>brave(X)))&
(![X]:(happy(X)<=>(~brave(X)&~wise(X))))&
((~str... | ~strong(fred) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3265653956319149962504142
% SZS output start Proof for 3265653956319149962504142
2. ! [X0] : ((~curious(X0) <~> tall(X0)) <=> ~tall(X0)) [input p1]
8. ~strong(fred) <=> (~tall(mary) & curious(mary)) [input p7]
24. ~strong(fred) [input hypothesis]
34. ! [X0] : ((((~tall(X0) | curious(X0)) ... | 0 |
Everyone who is both curious and happy is strong or brave and vice versa.
Everyone who is both not strong and rich is calm or old and vice versa.
If someone is either not kind or rich then fred is wise and vice versa.
Everyone who is either generous or not calm is both patient and funny.
Everyone who is not brave is no... | John is old. | contradiction | (![X]:((curious(X)&happy(X))<=>(strong(X)|brave(X))))&
(![X]:((~strong(X)&rich(X))<=>(calm(X)|old(X))))&
((?[X]:((~kind(X)<~>rich(X))))<=>(wise(fred)))&
(![X]:((generous(X)<~>~calm(X))=>(patient(X)&funny(X))))&
(![X]:(~brave(X)<=>(~wise(X)|rich(X))))&
(((funny(susan)|humble(susan)))=>((curious(paul)<~>strong(paul))))&
... | old(john) | [
"p1",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7286092439316891976362574
% SZS output start Proof for 7286092439316891976362574
2. ! [X0] : ((rich(X0) & ~strong(X0)) <=> (old(X0) | calm(X0))) [input p1]
5. ! [X0] : (~brave(X0) <=> (rich(X0) | ~wise(X0))) [input p4]
8. ! [X0] : (rich(X0) => (brave(X0) & humble(X0))) [input p7]
25. old(... | 0 |
Everyone who is happy or not calm is both kind and not happy and vice versa.
Everyone who is either not curious or not generous is not humble and vice versa.
Everyone who is not creative is either strong or patient and vice versa.
Everyone who is both not wise and not brave is brave and vice versa.
Everyone who is both... | Fred is patient. | entailment | (![X]:((happy(X)|~calm(X))<=>(kind(X)&~happy(X))))&
(![X]:((~curious(X)<~>~generous(X))<=>~humble(X)))&
(![X]:(~creative(X)<=>(strong(X)<~>patient(X))))&
(![X]:((~wise(X)&~brave(X))<=>brave(X)))&
(![X]:((kind(X)&~old(X))=>(~kind(X)&humble(X))))&
(((~patient(lucy)&creative(lucy)))<=>(?[X]:((tall(X)|brave(X)))))&
(![X]:(... | patient(fred) | [
"p2",
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1987434976632575485773200
% SZS output start Proof for 1987434976632575485773200
3. ! [X0] : (~creative(X0) <=> (strong(X0) <~> patient(X0))) [input p2]
4. ! [X0] : ((~brave(X0) & ~wise(X0)) <=> brave(X0)) [input p3]
8. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (brave(X0) | ~wise(X0))) [in... | 0 |
If john is rich or not humble then mary is either happy or creative and vice versa.
Everyone who is either not rich or brave is either quiet or not brave and vice versa.
If lucy is not brave or not kind then someone is not tall.
If susan is either not curious or not brave then someone is both not wise and strong.
Every... | Lucy is happy. | contradiction | (((rich(john)|~humble(john)))<=>((happy(mary)<~>creative(mary))))&
(![X]:((~rich(X)<~>brave(X))<=>(quiet(X)<~>~brave(X))))&
(((~brave(lucy)|~kind(lucy)))=>(?[X]:(~tall(X))))&
(((~curious(susan)<~>~brave(susan)))=>(?[X]:((~wise(X)&strong(X)))))&
(![X]:(~rich(X)=>rich(X)))&
(![X]:((~old(X)&strong(X))=>(~wise(X)|wise(X)))... | happy(lucy) | [
"p1",
"p4",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8726544430639174954465641
% SZS output start Proof for 8726544430639174954465641
2. ! [X0] : ((~rich(X0) <~> brave(X0)) <=> (quiet(X0) <~> ~brave(X0))) [input p1]
5. ! [X0] : (~rich(X0) => rich(X0)) [input p4]
11. ! [X0] : (quiet(X0) => (~calm(X0) & curious(X0))) [input p10]
12. ? [X0] : ... | 0 |
If someone is not calm or humble then someone is either not strong or strong.
If susan is either not patient or funny then alice is not old and vice versa.
If fred is either not kind or happy then john is both calm and not kind and vice versa.
Everyone who is both not wise and not humble is both not strong and strong.
... | John is happy. | neutral | ((?[X]:((~calm(X)|humble(X))))=>(?[X]:((~strong(X)<~>strong(X)))))&
(((~patient(susan)<~>funny(susan)))<=>(~old(alice)))&
(((~kind(fred)<~>happy(fred)))<=>((calm(john)&~kind(john))))&
(![X]:((~wise(X)&~humble(X))=>(~strong(X)&strong(X))))&
(![X]:(curious(X)=>(~happy(X)&funny(X))))&
(![X]:((~funny(X)&tall(X))=>kind(X)))... | happy(john) | [] | null | 0 |
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