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 someone is wise or not curious then someone is either creative or not brave. Everyone who is both not humble and not strong is brave and vice versa. If someone is not curious or not creative then fred is kind or wise and vice versa. Everyone who is strong is not tall and vice versa. Everyone who is both patient and ... | Lucy is patient. | neutral | ((?[X]:((wise(X)|~curious(X))))=>(?[X]:((creative(X)<~>~brave(X)))))&
(![X]:((~humble(X)&~strong(X))<=>brave(X)))&
((?[X]:((~curious(X)|~creative(X))))<=>((kind(fred)|wise(fred))))&
(![X]:(strong(X)<=>~tall(X)))&
(![X]:((patient(X)&rich(X))=>(~rich(X)&tall(X))))&
((humble(john))=>(?[X]:((~strong(X)|~patient(X)))))&
((?... | patient(lucy) | [] | null | 0 |
If alice is both old and not creative then someone is both not patient and not rich. If someone is not patient or not curious then someone is calm and vice versa. Everyone who is both patient and happy is not tall or happy and vice versa. Everyone who is both not calm and patient is not creative and vice versa. If fred... | Fred is creative. | entailment | (((old(alice)&~creative(alice)))=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((~patient(X)|~curious(X))))<=>(?[X]:(calm(X))))&
(![X]:((patient(X)&happy(X))<=>(~tall(X)|happy(X))))&
(![X]:((~calm(X)&patient(X))<=>~creative(X)))&
(((~rich(fred)&~brave(fred)))=>(curious(fred)))&
(![X]:(rich(X)=>(~old(X)|quiet(X))))&
((?[X]:... | creative(fred) | [
"p3",
"p7",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3525971840569716580480792
% SZS output start Proof for 3525971840569716580480792
4. ! [X0] : ((patient(X0) & ~calm(X0)) <=> ~creative(X0)) [input p3]
8. ! [X0] : (~wise(X0) <=> (~funny(X0) | ~creative(X0))) [input p7]
13. ! [X0] : ((creative(X0) <~> ~strong(X0)) => (~calm(X0) & calm(X0)))... | 0 |
Everyone who is both brave and not creative is either curious or kind and vice versa.
Everyone who is wise or not curious is both not creative and not patient.
If someone is both not rich and not old then someone is either rich or curious.
Everyone who is both humble and creative is not quiet or kind and vice versa.
Ev... | Alice is not brave. | contradiction | (![X]:((brave(X)&~creative(X))<=>(curious(X)<~>kind(X))))&
(![X]:((wise(X)|~curious(X))=>(~creative(X)&~patient(X))))&
((?[X]:((~rich(X)&~old(X))))=>(?[X]:((rich(X)<~>curious(X)))))&
(![X]:((humble(X)&creative(X))<=>(~quiet(X)|kind(X))))&
(![X]:(humble(X)=>wise(X)))&
(![X]:((~happy(X)&~funny(X))=>(~strong(X)&happy(X)))... | ~brave(alice) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6534402979096394843258738
% SZS output start Proof for 6534402979096394843258738
1. ! [X0] : ((~creative(X0) & brave(X0)) <=> (curious(X0) <~> kind(X0))) [input p0]
2. ! [X0] : ((~curious(X0) | wise(X0)) => (~patient(X0) & ~creative(X0))) [input p1]
4. ! [X0] : ((creative(X0) & humble(X0)... | 0 |
If someone is both kind and old then someone is not quiet. Everyone who is either calm or not creative is not calm or brave. If someone is either happy or not funny then someone is both brave and not brave and vice versa. Everyone who is not kind is not patient. If john is either generous or old then someone is not fun... | John is generous. | neutral | ((?[X]:((kind(X)&old(X))))=>(?[X]:(~quiet(X))))&
(![X]:((calm(X)<~>~creative(X))=>(~calm(X)|brave(X))))&
((?[X]:((happy(X)<~>~funny(X))))<=>(?[X]:((brave(X)&~brave(X)))))&
(![X]:(~kind(X)=>~patient(X)))&
(((generous(john)<~>old(john)))=>(?[X]:(~funny(X))))&
(![X]:((~curious(X)&curious(X))=>(wise(X)&funny(X))))&
(![X]:(... | generous(john) | [] | null | 0 |
If alice is either not brave or not patient then alice is not quiet or not generous and vice versa.
Everyone who is either not curious or strong is not old.
If someone is either not funny or not generous then someone is not curious or old and vice versa.
Everyone who is not creative is humble and vice versa.
Everyone w... | Susan is not tall. | entailment | (((~brave(alice)<~>~patient(alice)))<=>((~quiet(alice)|~generous(alice))))&
(![X]:((~curious(X)<~>strong(X))=>~old(X)))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(?[X]:((~curious(X)|old(X)))))&
(![X]:(~creative(X)<=>humble(X)))&
(![X]:((~quiet(X)&~rich(X))=>(strong(X)|rich(X))))&
(![X]:((~wise(X)&brave(X))<=>~kind(X)))&
... | ~tall(susan) | [
"p3",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4715251832566636939258031
% SZS output start Proof for 4715251832566636939258031
4. ! [X0] : (~creative(X0) <=> humble(X0)) [input p3]
7. ? [X0] : (patient(X0) <~> creative(X0)) => ? [X0] : (~funny(X0) & funny(X0)) [input p6]
8. ! [X0] : ((humble(X0) | ~tall(X0)) <=> patient(X0)) [input p... | 0 |
Everyone who is both patient and humble is not kind and vice versa. Everyone who is strong is not happy. If john is not strong then someone is calm and vice versa. If someone is either not quiet or quiet then john is both not generous and not creative and vice versa. Everyone who is either patient or not curious is not... | Mary is calm. | entailment | (![X]:((patient(X)&humble(X))<=>~kind(X)))&
(![X]:(strong(X)=>~happy(X)))&
((~strong(john))<=>(?[X]:(calm(X))))&
((?[X]:((~quiet(X)<~>quiet(X))))<=>((~generous(john)&~creative(john))))&
(![X]:((patient(X)<~>~curious(X))<=>(~wise(X)|generous(X))))&
(![X]:((~humble(X)|~curious(X))=>~rich(X)))&
(![X]:((~brave(X)&curious(X... | calm(mary) | [
"p5",
"p6",
"p8",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4777433274776536261421779
% SZS output start Proof for 4777433274776536261421779
6. ! [X0] : ((~curious(X0) | ~humble(X0)) => ~rich(X0)) [input p5]
7. ! [X0] : ((curious(X0) & ~brave(X0)) <=> (~calm(X0) <~> rich(X0))) [input p6]
9. ! [X0] : ((~quiet(X0) & brave(X0)) <=> ~calm(X0)) [input ... | 0 |
If someone is not wise or generous then someone is both humble and patient and vice versa.
Everyone who is brave or not humble is both not creative and not quiet and vice versa.
If john is either not curious or not wise then someone is not generous and vice versa.
Everyone who is creative or funny is curious and vice v... | Lucy is not curious. | contradiction | ((?[X]:((~wise(X)|generous(X))))<=>(?[X]:((humble(X)&patient(X)))))&
(![X]:((brave(X)|~humble(X))<=>(~creative(X)&~quiet(X))))&
(((~curious(john)<~>~wise(john)))<=>(?[X]:(~generous(X))))&
(![X]:((creative(X)|funny(X))<=>curious(X)))&
(![X]:(rich(X)<=>calm(X)))&
(![X]:((~rich(X)|~creative(X))<=>(~calm(X)&wise(X))))&
(![... | ~curious(lucy) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p10",
"p14",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7800142211822893367867006
% SZS output start Proof for 7800142211822893367867006
1. ? [X0] : (generous(X0) | ~wise(X0)) <=> ? [X0] : (patient(X0) & humble(X0)) [input p0]
3. (~curious(john) <~> ~wise(john)) <=> ? [X0] : ~generous(X0) [input p2]
4. ! [X0] : ((funny(X0) | creative(X0)) <=> ... | 0 |
Everyone who is curious or not generous is either not funny or not patient and vice versa.
Everyone who is not tall is funny or not tall and vice versa.
If someone is kind or not rich then fred is not funny or brave.
If alice is curious or not tall then mary is not old and vice versa.
If someone is not old or generous ... | Paul is not curious. | neutral | (![X]:((curious(X)|~generous(X))<=>(~funny(X)<~>~patient(X))))&
(![X]:(~tall(X)<=>(funny(X)|~tall(X))))&
((?[X]:((kind(X)|~rich(X))))=>((~funny(fred)|brave(fred))))&
(((curious(alice)|~tall(alice)))<=>(~old(mary)))&
((?[X]:((~old(X)|generous(X))))=>(?[X]:((~rich(X)<~>strong(X)))))&
((~funny(alice))=>(?[X]:((quiet(X)|~f... | ~curious(paul) | [] | null | 0 |
If fred is either not generous or not humble then alice is both not quiet and generous.
If john is either not wise or creative then paul is not rich.
If someone is not funny then mary is either not old or curious.
If john is not funny then paul is rich and vice versa.
If alice is both happy and rich then someone is cre... | Mary is curious. | neutral | (((~generous(fred)<~>~humble(fred)))=>((~quiet(alice)&generous(alice))))&
(((~wise(john)<~>creative(john)))=>(~rich(paul)))&
((?[X]:(~funny(X)))=>((~old(mary)<~>curious(mary))))&
((~funny(john))<=>(rich(paul)))&
(((happy(alice)&rich(alice)))<=>(?[X]:((creative(X)|wise(X)))))&
(![X]:((quiet(X)<~>kind(X))=>rich(X)))&
(![... | curious(mary) | [] | null | 0 |
Everyone who is wise is either curious or not patient and vice versa.
If someone is not brave then someone is both not creative and not old.
Everyone who is both not patient and not happy is either generous or curious and vice versa.
Everyone who is wise is either brave or not generous.
If mary is both not humble and n... | John is not humble. | entailment | (![X]:(wise(X)<=>(curious(X)<~>~patient(X))))&
((?[X]:(~brave(X)))=>(?[X]:((~creative(X)&~old(X)))))&
(![X]:((~patient(X)&~happy(X))<=>(generous(X)<~>curious(X))))&
(![X]:(wise(X)=>(brave(X)<~>~generous(X))))&
(((~humble(mary)&~happy(mary)))<=>(curious(lucy)))&
(![X]:((~wise(X)&~happy(X))<=>kind(X)))&
(![X]:((~patient(... | ~humble(john) | [
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3169413244859689628882070
% SZS output start Proof for 3169413244859689628882070
14. (~patient(john) & ~humble(john)) <=> ? [X0] : ~humble(X0) [input p13]
21. ? [X0] : (~humble(X0) & generous(X0)) [input p20]
25. humble(john) [input hypothesis]
61. ((~patient(john) & ~humble(john)) | ! [X... | 0 |
If someone is rich then someone is kind or not generous.
Everyone who is both strong and curious is either strong or quiet.
Everyone who is not generous is wise and vice versa.
If someone is curious or funny then paul is kind.
If someone is not happy or kind then susan is both kind and curious.
If someone is not brave ... | Lucy is calm. | contradiction | ((?[X]:(rich(X)))=>(?[X]:((kind(X)|~generous(X)))))&
(![X]:((strong(X)&curious(X))=>(strong(X)<~>quiet(X))))&
(![X]:(~generous(X)<=>wise(X)))&
((?[X]:((curious(X)|funny(X))))=>(kind(paul)))&
((?[X]:((~happy(X)|kind(X))))=>((kind(susan)&curious(susan))))&
((?[X]:(~brave(X)))=>(?[X]:((brave(X)|old(X)))))&
(![X]:((~strong... | calm(lucy) | [
"p2",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 311999959188745486555491
% SZS output start Proof for 311999959188745486555491
3. ! [X0] : (~generous(X0) <=> wise(X0)) [input p2]
8. ! [X0] : ((old(X0) | ~wise(X0)) <=> (generous(X0) | ~wise(X0))) [input p7]
13. ! [X0] : ((old(X0) & wise(X0)) <=> (rich(X0) | calm(X0))) [input p12]
23. ca... | 0 |
If lucy is either not patient or not kind then alice is both tall and strong and vice versa.
Everyone who is either wise or not wise is curious or strong and vice versa.
Everyone who is not generous is either rich or not tall and vice versa.
Everyone who is both not happy and not tall is both creative and brave and vic... | Lucy is tall. | entailment | (((~patient(lucy)<~>~kind(lucy)))<=>((tall(alice)&strong(alice))))&
(![X]:((wise(X)<~>~wise(X))<=>(curious(X)|strong(X))))&
(![X]:(~generous(X)<=>(rich(X)<~>~tall(X))))&
(![X]:((~happy(X)&~tall(X))<=>(creative(X)&brave(X))))&
(![X]:((brave(X)&wise(X))<=>(quiet(X)&~humble(X))))&
(![X]:((~humble(X)|calm(X))<=>~calm(X)))&... | tall(lucy) | [
"p4",
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2167299765229554628262158
% SZS output start Proof for 2167299765229554628262158
5. ! [X0] : ((wise(X0) & brave(X0)) <=> (~humble(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((calm(X0) | ~humble(X0)) <=> ~calm(X0)) [input p5]
8. (~brave(alice) & ~patient(alice)) <=> ? [X0] : (happy(X0) | ~ta... | 0 |
If lucy is funny or brave then someone is rich or brave and vice versa. Everyone who is both kind and wise is both kind and not old. Everyone who is creative is curious and vice versa. If mary is humble or not curious then someone is not calm. Everyone who is strong or not quiet is both not creative and happy. Everyone... | Lucy is not kind. | contradiction | (((funny(lucy)|brave(lucy)))<=>(?[X]:((rich(X)|brave(X)))))&
(![X]:((kind(X)&wise(X))=>(kind(X)&~old(X))))&
(![X]:(creative(X)<=>curious(X)))&
(((humble(mary)|~curious(mary)))=>(?[X]:(~calm(X))))&
(![X]:((strong(X)|~quiet(X))=>(~creative(X)&happy(X))))&
(![X]:(wise(X)=>(~strong(X)<~>~old(X))))&
(![X]:(happy(X)=>(~curio... | ~kind(lucy) | [
"p4",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 45896583069910102131697
% SZS output start Proof for 45896583069910102131697
5. ! [X0] : ((~quiet(X0) | strong(X0)) => (happy(X0) & ~creative(X0))) [input p4]
8. ! [X0] : (~funny(X0) <=> (~strong(X0) <~> ~kind(X0))) [input p7]
9. ! [X0] : (funny(X0) <=> (creative(X0) <~> happy(X0))) [inpu... | 0 |
Everyone who is kind is both not tall and not creative. If someone is either old or creative then alice is not wise or quiet and vice versa. Everyone who is brave or tall is both not patient and old and vice versa. If someone is either calm or not strong then mary is either not old or kind. Everyone who is either old o... | Paul is generous. | entailment | (![X]:(kind(X)=>(~tall(X)&~creative(X))))&
((?[X]:((old(X)<~>creative(X))))<=>((~wise(alice)|quiet(alice))))&
(![X]:((brave(X)|tall(X))<=>(~patient(X)&old(X))))&
((?[X]:((calm(X)<~>~strong(X))))=>((~old(mary)<~>kind(mary))))&
(![X]:((old(X)<~>~strong(X))=>(~kind(X)|~funny(X))))&
(((~patient(paul)&~rich(paul)))=>(?[X]:(... | generous(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 198973262386171261764161
% SZS output start Proof for 198973262386171261764161
13. (~quiet(susan) & quiet(susan)) <=> ? [X0] : ~generous(X0) [input p12]
23. ~generous(paul) [input hypothesis]
57. ((~quiet(susan) & quiet(susan)) | ! [X0] : generous(X0)) & (? [X0] : ~generous(X0) | (quiet(s... | 0 |
If john is not strong or rich then someone is humble.
Everyone who is both funny and happy is both curious and not quiet.
Everyone who is both not happy and not tall is not patient or generous.
If lucy is not curious then someone is not funny or humble.
If lucy is not curious or creative then paul is either rich or not... | Fred is not quiet. | neutral | (((~strong(john)|rich(john)))=>(?[X]:(humble(X))))&
(![X]:((funny(X)&happy(X))=>(curious(X)&~quiet(X))))&
(![X]:((~happy(X)&~tall(X))=>(~patient(X)|generous(X))))&
((~curious(lucy))=>(?[X]:((~funny(X)|humble(X)))))&
(((~curious(lucy)|creative(lucy)))=>((rich(paul)<~>~patient(paul))))&
(((calm(john)<~>tall(john)))<=>(?[... | ~quiet(fred) | [] | null | 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 wise and vice versa.
Everyone who is not quiet or not old is calm and vice versa.
If john is not wise or curious then someone is not patient.
If paul is strong or old then paul is not tall and vice ... | Alice is happy. | neutral | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(X))))&
(![X]:((~rich(X)&~humble(X))<=>(generous(X)&wise(X))))&
(![X]:((~quiet(X)|~old(X))<=>calm(X)))&
(((~wise(john)|curious(john)))=>(?[X]:(~patient(X))))&
(((strong(paul)|old(paul)))<=>(~tall(paul)))&
((?[X]:((wise(X)|kind(X))))<=>(?[X]:((quiet(X)&calm(X)))))&
(((happy(... | happy(alice) | [] | null | 0 |
Everyone who is not strong or creative is not wise and vice versa.
Everyone who is not wise or tall is both not calm and wise and vice versa.
If mary is funny then john is old or patient.
If lucy is both quiet and not rich then mary is not funny or humble.
If someone is both funny and patient then paul is old.
Everyone... | Paul is calm. | contradiction | (![X]:((~strong(X)|creative(X))<=>~wise(X)))&
(![X]:((~wise(X)|tall(X))<=>(~calm(X)&wise(X))))&
((funny(mary))=>((old(john)|patient(john))))&
(((quiet(lucy)&~rich(lucy)))=>((~funny(mary)|humble(mary))))&
((?[X]:((funny(X)&patient(X))))=>(old(paul)))&
(![X]:(~tall(X)=>(~calm(X)&~happy(X))))&
((?[X]:((strong(X)<~>~patien... | calm(paul) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7712096588689849713940926
% SZS output start Proof for 7712096588689849713940926
2. ! [X0] : ((tall(X0) | ~wise(X0)) <=> (wise(X0) & ~calm(X0))) [input p1]
6. ! [X0] : (~tall(X0) => (~happy(X0) & ~calm(X0))) [input p5]
21. calm(paul) [input hypothesis]
29. ! [X0] : ((~happy(X0) & ~calm(X0... | 0 |
If paul is not humble then lucy is both not creative and not calm and vice versa.
If paul is creative or not generous then someone is both old and strong.
If paul is not funny then paul is humble or not quiet.
If john is generous then mary is strong and vice versa.
Everyone who is both not wise and generous is not kind... | Mary is not strong. | neutral | ((~humble(paul))<=>((~creative(lucy)&~calm(lucy))))&
(((creative(paul)|~generous(paul)))=>(?[X]:((old(X)&strong(X)))))&
((~funny(paul))=>((humble(paul)|~quiet(paul))))&
((generous(john))<=>(strong(mary)))&
(![X]:((~wise(X)&generous(X))<=>(~kind(X)|~brave(X))))&
(((tall(lucy)<~>~humble(lucy)))<=>(?[X]:((curious(X)<~>tal... | ~strong(mary) | [] | null | 0 |
If john is happy or curious then someone is either not tall or curious and vice versa.
Everyone who is both not tall and brave is either not strong or generous and vice versa.
Everyone who is both creative and funny is both not curious and generous and vice versa.
If john is either strong or not happy then susan is eit... | Fred is curious. | neutral | (((happy(john)|curious(john)))<=>(?[X]:((~tall(X)<~>curious(X)))))&
(![X]:((~tall(X)&brave(X))<=>(~strong(X)<~>generous(X))))&
(![X]:((creative(X)&funny(X))<=>(~curious(X)&generous(X))))&
(((strong(john)<~>~happy(john)))=>((calm(susan)<~>strong(susan))))&
(![X]:((~curious(X)&wise(X))=>(~tall(X)&calm(X))))&
(![X]:((wise... | curious(fred) | [] | null | 0 |
If fred is tall then john is not generous.
Everyone who is creative is not generous or not funny and vice versa.
Everyone who is either generous or quiet is both patient and tall and vice versa.
If someone is not patient or calm then susan is not strong.
Everyone who is either not brave or not creative is not rich.
If ... | Mary is strong. | neutral | ((tall(fred))=>(~generous(john)))&
(![X]:(creative(X)<=>(~generous(X)|~funny(X))))&
(![X]:((generous(X)<~>quiet(X))<=>(patient(X)&tall(X))))&
((?[X]:((~patient(X)|calm(X))))=>(~strong(susan)))&
(![X]:((~brave(X)<~>~creative(X))=>~rich(X)))&
((?[X]:(tall(X)))=>((wise(susan)|curious(susan))))&
(((~patient(susan)|humble(s... | strong(mary) | [] | null | 0 |
Everyone who is both not rich and not strong is both rich and not calm and vice versa.
If mary is either not rich or not brave then someone is either curious or humble.
Everyone who is both creative and quiet is both not brave and not funny and vice versa.
If alice is not patient or not humble then john is generous or ... | Paul is quiet. | neutral | (![X]:((~rich(X)&~strong(X))<=>(rich(X)&~calm(X))))&
(((~rich(mary)<~>~brave(mary)))=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((creative(X)&quiet(X))<=>(~brave(X)&~funny(X))))&
(((~patient(alice)|~humble(alice)))<=>((generous(john)|happy(john))))&
((kind(john))<=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:(~humble(X)<=>... | quiet(paul) | [] | null | 0 |
If someone is not wise or creative then someone is either not patient or old.
Everyone who is brave is not tall or generous and vice versa.
Everyone who is generous or calm is either happy or tall.
If someone is either not curious or rich then paul is creative or not curious and vice versa.
Everyone who is either creat... | Susan is not calm. | entailment | ((?[X]:((~wise(X)|creative(X))))=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:(brave(X)<=>(~tall(X)|generous(X))))&
(![X]:((generous(X)|calm(X))=>(happy(X)<~>tall(X))))&
((?[X]:((~curious(X)<~>rich(X))))<=>((creative(paul)|~curious(paul))))&
(![X]:((creative(X)<~>old(X))=>(~patient(X)|quiet(X))))&
(((curious(susan)|~genero... | ~calm(susan) | [
"p1",
"p2",
"p5",
"p6",
"p7",
"p8",
"p10",
"p12",
"p13",
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1349827807326659192149103
% SZS output start Proof for 1349827807326659192149103
2. ! [X0] : (brave(X0) <=> (generous(X0) | ~tall(X0))) [input p1]
3. ! [X0] : ((calm(X0) | generous(X0)) => (happy(X0) <~> tall(X0))) [input p2]
6. (~generous(susan) | curious(susan)) <=> (tall(fred) & ~patie... | 0 |
If mary is either generous or not generous then someone is either curious or not brave and vice versa.
Everyone who is not tall is both rich and quiet.
Everyone who is happy is both old and creative and vice versa.
Everyone who is curious is strong or not quiet and vice versa.
Everyone who is strong is wise or funny.
E... | Alice is not wise. | contradiction | (((generous(mary)<~>~generous(mary)))<=>(?[X]:((curious(X)<~>~brave(X)))))&
(![X]:(~tall(X)=>(rich(X)&quiet(X))))&
(![X]:(happy(X)<=>(old(X)&creative(X))))&
(![X]:(curious(X)<=>(strong(X)|~quiet(X))))&
(![X]:(strong(X)=>(wise(X)|funny(X))))&
(![X]:((kind(X)&~kind(X))=>(~old(X)<~>~happy(X))))&
(![X]:((happy(X)&quiet(X))... | ~wise(alice) | [
"p1",
"p3",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 339341671268329958514967
% SZS output start Proof for 339341671268329958514967
2. ! [X0] : (~tall(X0) => (quiet(X0) & rich(X0))) [input p1]
4. ! [X0] : (curious(X0) <=> (~quiet(X0) | strong(X0))) [input p3]
12. (~humble(john) | quiet(john)) <=> (~quiet(alice) & kind(alice)) [input p11]
13... | 0 |
Everyone who is not patient is either curious or not humble and vice versa.
Everyone who is either generous or quiet is calm.
Everyone who is patient or tall is old or not quiet and vice versa.
Everyone who is calm is not strong or funny.
Everyone who is both calm and not brave is not creative and vice versa.
Everyone ... | Lucy is brave. | neutral | (![X]:(~patient(X)<=>(curious(X)<~>~humble(X))))&
(![X]:((generous(X)<~>quiet(X))=>calm(X)))&
(![X]:((patient(X)|tall(X))<=>(old(X)|~quiet(X))))&
(![X]:(calm(X)=>(~strong(X)|funny(X))))&
(![X]:((calm(X)&~brave(X))<=>~creative(X)))&
(![X]:((wise(X)&~kind(X))=>wise(X)))&
(![X]:((~generous(X)&~strong(X))<=>(~patient(X)|ca... | brave(lucy) | [] | null | 0 |
If someone is not calm or calm then lucy is not quiet. Everyone who is both quiet and not happy is not happy and vice versa. Everyone who is creative is not wise or tall and vice versa. If john is not patient then susan is either not curious or creative and vice versa. If someone is both not funny and not generous then... | Alice is not creative. | entailment | ((?[X]:((~calm(X)|calm(X))))=>(~quiet(lucy)))&
(![X]:((quiet(X)&~happy(X))<=>~happy(X)))&
(![X]:(creative(X)<=>(~wise(X)|tall(X))))&
((~patient(john))<=>((~curious(susan)<~>creative(susan))))&
((?[X]:((~funny(X)&~generous(X))))<=>((strong(paul)|brave(paul))))&
((?[X]:(humble(X)))<=>(?[X]:((kind(X)&~funny(X)))))&
(![X]:... | ~creative(alice) | [
"p1",
"p4",
"p6",
"p7",
"p9",
"p10",
"p13",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7393495170033566247224547
% SZS output start Proof for 7393495170033566247224547
2. ! [X0] : ((~happy(X0) & quiet(X0)) <=> ~happy(X0)) [input p1]
5. ? [X0] : (~generous(X0) & ~funny(X0)) <=> (brave(paul) | strong(paul)) [input p4]
7. ! [X0] : ((strong(X0) | ~happy(X0)) => (~strong(X0) <~>... | 0 |
Everyone who is both calm and curious is wise or happy. If someone is both not calm and quiet then someone is not brave or not tall and vice versa. Everyone who is both not generous and kind is either not kind or not funny and vice versa. Everyone who is wise or quiet is both not curious and brave and vice versa. If so... | Alice is kind. | entailment | (![X]:((calm(X)&curious(X))=>(wise(X)|happy(X))))&
((?[X]:((~calm(X)&quiet(X))))<=>(?[X]:((~brave(X)|~tall(X)))))&
(![X]:((~generous(X)&kind(X))<=>(~kind(X)<~>~funny(X))))&
(![X]:((wise(X)|quiet(X))<=>(~curious(X)&brave(X))))&
((?[X]:((creative(X)<~>old(X))))=>(?[X]:((calm(X)&kind(X)))))&
(![X]:((~curious(X)&~old(X))=>... | kind(alice) | [
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4541065467885543190348223
% SZS output start Proof for 4541065467885543190348223
8. ! [X0] : ((~generous(X0) <~> generous(X0)) => (~wise(X0) <~> happy(X0))) [input p7]
12. ! [X0] : ((~old(X0) | ~kind(X0)) => ~patient(X0)) [input p11]
16. ? [X0] : (~patient(X0) | funny(X0)) <=> (wise(john)... | 0 |
If susan is both generous and not kind then someone is happy or not calm. Everyone who is creative is both not creative and quiet and vice versa. If someone is both not patient and not brave then someone is both not quiet and wise. Everyone who is not quiet or not old is either patient or not curious and vice versa. Ev... | Fred is not generous. | contradiction | (((generous(susan)&~kind(susan)))=>(?[X]:((happy(X)|~calm(X)))))&
(![X]:(creative(X)<=>(~creative(X)&quiet(X))))&
((?[X]:((~patient(X)&~brave(X))))=>(?[X]:((~quiet(X)&wise(X)))))&
(![X]:((~quiet(X)|~old(X))<=>(patient(X)<~>~curious(X))))&
(![X]:((~generous(X)|kind(X))<=>(~wise(X)|patient(X))))&
(((funny(john)&~quiet(jo... | ~generous(fred) | [
"p1",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5088118365230670778970010
% SZS output start Proof for 5088118365230670778970010
2. ! [X0] : (creative(X0) <=> (quiet(X0) & ~creative(X0))) [input p1]
18. generous(fred) <~> brave(fred) [input p17]
19. quiet(fred) <~> ~brave(fred) [input p18]
25. ~generous(fred) [input hypothesis]
45. ! [... | 0 |
If mary is not brave then mary is either tall or kind and vice versa.
Everyone who is not old is kind or old and vice versa.
Everyone who is quiet or happy is either patient or old and vice versa.
If fred is either tall or humble then susan is kind or brave and vice versa.
Everyone who is both not rich and quiet is eit... | Fred is tall. | contradiction | ((~brave(mary))<=>((tall(mary)<~>kind(mary))))&
(![X]:(~old(X)<=>(kind(X)|old(X))))&
(![X]:((quiet(X)|happy(X))<=>(patient(X)<~>old(X))))&
(((tall(fred)<~>humble(fred)))<=>((kind(susan)|brave(susan))))&
(![X]:((~rich(X)&quiet(X))<=>(strong(X)<~>~curious(X))))&
((funny(lucy))=>(tall(paul)))&
((?[X]:(generous(X)))=>((~ge... | tall(fred) | [
"p1",
"p2",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 469332787034285567282752
% SZS output start Proof for 469332787034285567282752
2. ! [X0] : (~old(X0) <=> (old(X0) | kind(X0))) [input p1]
3. ! [X0] : ((happy(X0) | quiet(X0)) <=> (patient(X0) <~> old(X0))) [input p2]
8. ! [X0] : ((old(X0) <~> kind(X0)) <=> happy(X0)) [input p7]
11. ! [X0]... | 0 |
Everyone who is happy is both not happy and not calm and vice versa. If alice is either not happy or patient then john is old. If susan is either tall or creative then someone is curious. Everyone who is rich is calm and vice versa. If someone is not wise then fred is either creative or not brave. Everyone who is eithe... | Fred is happy. | contradiction | (![X]:(happy(X)<=>(~happy(X)&~calm(X))))&
(((~happy(alice)<~>patient(alice)))=>(old(john)))&
(((tall(susan)<~>creative(susan)))=>(?[X]:(curious(X))))&
(![X]:(rich(X)<=>calm(X)))&
((?[X]:(~wise(X)))=>((creative(fred)<~>~brave(fred))))&
(![X]:((funny(X)<~>~wise(X))=>(calm(X)|funny(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~w... | happy(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 475962281096633023921661
% SZS output start Proof for 475962281096633023921661
1. ! [X0] : (happy(X0) <=> (~calm(X0) & ~happy(X0))) [input p0]
23. happy(fred) [input hypothesis]
34. ! [X0] : ((happy(X0) | (calm(X0) | happy(X0))) & ((~calm(X0) & ~happy(X0)) | ~happy(X0))) [nnf transformati... | 0 |
If someone is either not old or quiet then someone is either not tall or wise.
Everyone who is both rich and humble is either funny or brave.
Everyone who is not curious or tall is not calm or quiet.
If mary is patient or rich then paul is not strong or rich and vice versa.
Everyone who is both not patient and curious ... | Alice is not rich. | entailment | ((?[X]:((~old(X)<~>quiet(X))))=>(?[X]:((~tall(X)<~>wise(X)))))&
(![X]:((rich(X)&humble(X))=>(funny(X)<~>brave(X))))&
(![X]:((~curious(X)|tall(X))=>(~calm(X)|quiet(X))))&
(((patient(mary)|rich(mary)))<=>((~strong(paul)|rich(paul))))&
(![X]:((~patient(X)&curious(X))=>(happy(X)|~creative(X))))&
((?[X]:(~calm(X)))<=>(?[X]:... | ~rich(alice) | [
"p1",
"p5",
"p6",
"p7",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6372369600783344992479046
% SZS output start Proof for 6372369600783344992479046
2. ! [X0] : ((humble(X0) & rich(X0)) => (funny(X0) <~> brave(X0))) [input p1]
6. ? [X0] : ~calm(X0) <=> ? [X0] : tall(X0) [input p5]
7. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (~happy(X0) & humble(X0))) [inpu... | 0 |
Everyone who is funny is not kind or humble.
Everyone who is happy is either curious or not strong and vice versa.
If someone is rich or not happy then someone is either tall or quiet.
Everyone who is humble or not wise is generous and vice versa.
If someone is not generous then someone is both strong and not funny.
Ev... | Lucy is wise. | entailment | (![X]:(funny(X)=>(~kind(X)|humble(X))))&
(![X]:(happy(X)<=>(curious(X)<~>~strong(X))))&
((?[X]:((rich(X)|~happy(X))))=>(?[X]:((tall(X)<~>quiet(X)))))&
(![X]:((humble(X)|~wise(X))<=>generous(X)))&
((?[X]:(~generous(X)))=>(?[X]:((strong(X)&~funny(X)))))&
(![X]:((~funny(X)<~>old(X))=>(~funny(X)<~>~tall(X))))&
(![X]:((~bra... | wise(lucy) | [
"p3",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 572524469599431251165931
% SZS output start Proof for 572524469599431251165931
4. ! [X0] : ((~wise(X0) | humble(X0)) <=> generous(X0)) [input p3]
12. ! [X0] : ((~humble(X0) <~> ~calm(X0)) => ~funny(X0)) [input p11]
14. ! [X0] : (generous(X0) <=> (calm(X0) & funny(X0))) [input p13]
23. ~hu... | 0 |
If someone is not calm then someone is both brave and creative and vice versa.
Everyone who is curious or not wise is kind.
Everyone who is either not tall or strong is either not rich or not brave and vice versa.
If someone is not tall or not generous then susan is tall and vice versa.
If alice is not brave then someo... | Susan is not wise. | entailment | ((?[X]:(~calm(X)))<=>(?[X]:((brave(X)&creative(X)))))&
(![X]:((curious(X)|~wise(X))=>kind(X)))&
(![X]:((~tall(X)<~>strong(X))<=>(~rich(X)<~>~brave(X))))&
((?[X]:((~tall(X)|~generous(X))))<=>(tall(susan)))&
((~brave(alice))=>(?[X]:((~funny(X)<~>~calm(X)))))&
(![X]:((~quiet(X)<~>~humble(X))<=>(~generous(X)|calm(X))))&
(!... | ~wise(susan) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 853644731009942170684946
% SZS output start Proof for 853644731009942170684946
7. ! [X0] : ((generous(X0) | wise(X0)) => (calm(X0) & old(X0))) [input p6]
12. ! [X0] : (old(X0) <=> ~wise(X0)) [input p11]
24. wise(susan) [input hypothesis]
28. ! [X0] : ((calm(X0) & old(X0)) | (~generous(X0)... | 0 |
Everyone who is not humble is not quiet. If john is funny or not creative then john is both happy and curious and vice versa. If someone is either strong or tall then alice is both not quiet and not old. If lucy is not creative or rich then john is not tall or not kind and vice versa. If susan is either not humble or w... | Mary is not kind. | entailment | (![X]:(~humble(X)=>~quiet(X)))&
(((funny(john)|~creative(john)))<=>((happy(john)&curious(john))))&
((?[X]:((strong(X)<~>tall(X))))=>((~quiet(alice)&~old(alice))))&
(((~creative(lucy)|rich(lucy)))<=>((~tall(john)|~kind(john))))&
(((~humble(susan)<~>wise(susan)))<=>(calm(alice)))&
((?[X]:((~strong(X)|tall(X))))=>((~rich(... | ~kind(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3871584996133552711213293
% SZS output start Proof for 3871584996133552711213293
15. ! [X0] : ((~funny(X0) <~> funny(X0)) => ~kind(X0)) [input p14]
25. kind(mary) [input hypothesis]
36. ! [X0] : (~kind(X0) | (~funny(X0) <=> funny(X0))) [ennf transformation 15]
56. ! [X0] : (~kind(X0) | ((... | 0 |
If someone is either wise or generous then someone is both rich and curious and vice versa. Everyone who is not kind is curious or wise. If someone is not rich then susan is not quiet. Everyone who is both not patient and not curious is either not wise or not funny. Everyone who is calm or creative is old and vice vers... | Fred is quiet. | contradiction | ((?[X]:((wise(X)<~>generous(X))))<=>(?[X]:((rich(X)&curious(X)))))&
(![X]:(~kind(X)=>(curious(X)|wise(X))))&
((?[X]:(~rich(X)))=>(~quiet(susan)))&
(![X]:((~patient(X)&~curious(X))=>(~wise(X)<~>~funny(X))))&
(![X]:((calm(X)|creative(X))<=>old(X)))&
((?[X]:((curious(X)&~brave(X))))=>(?[X]:((happy(X)|tall(X)))))&
(![X]:((... | quiet(fred) | [
"p6",
"p10",
"p11",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8893209022191836436556972
% SZS output start Proof for 8893209022191836436556972
7. ! [X0] : ((rich(X0) & ~brave(X0)) => (generous(X0) <~> kind(X0))) [input p6]
11. ! [X0] : ((~old(X0) | ~kind(X0)) <=> (~funny(X0) & kind(X0))) [input p10]
12. ! [X0] : (~brave(X0) <=> quiet(X0)) [input p11... | 0 |
Everyone who is not humble is old or not old and vice versa.
Everyone who is both kind and rich is either happy or wise.
If mary is either not curious or not funny then someone is both not tall and strong.
Everyone who is kind or not creative is strong.
Everyone who is brave or not funny is not rich.
If susan is either... | Paul is not tall. | contradiction | (![X]:(~humble(X)<=>(old(X)|~old(X))))&
(![X]:((kind(X)&rich(X))=>(happy(X)<~>wise(X))))&
(((~curious(mary)<~>~funny(mary)))=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((kind(X)|~creative(X))=>strong(X)))&
(![X]:((brave(X)|~funny(X))=>~rich(X)))&
(((~generous(susan)<~>~humble(susan)))=>(?[X]:((generous(X)<~>~happy(X)))))&
... | ~tall(paul) | [
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6353622399401718834273070
% SZS output start Proof for 6353622399401718834273070
15. (~tall(paul) | humble(paul)) => (~funny(john) & strong(john)) [input p14]
22. funny(john) [input p21]
25. ~tall(paul) [input hypothesis]
39. (~funny(john) & strong(john)) | (tall(paul) & ~humble(paul)) [e... | 0 |
If someone is both not old and not funny then alice is not humble.
Everyone who is not calm or not wise is both rich and creative and vice versa.
If someone is both not happy and not rich then someone is not creative and vice versa.
If someone is both kind and wise then fred is either generous or not funny.
Everyone wh... | Paul is not strong. | entailment | ((?[X]:((~old(X)&~funny(X))))=>(~humble(alice)))&
(![X]:((~calm(X)|~wise(X))<=>(rich(X)&creative(X))))&
((?[X]:((~happy(X)&~rich(X))))<=>(?[X]:(~creative(X))))&
((?[X]:((kind(X)&wise(X))))=>((generous(fred)<~>~funny(fred))))&
(![X]:(~tall(X)<=>~rich(X)))&
(((~happy(susan)<~>strong(susan)))=>(?[X]:(rich(X))))&
((?[X]:((... | ~strong(paul) | [
"p1",
"p4",
"p9",
"p12",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5583959340543794280859170
% SZS output start Proof for 5583959340543794280859170
2. ! [X0] : ((~wise(X0) | ~calm(X0)) <=> (creative(X0) & rich(X0))) [input p1]
5. ! [X0] : (~tall(X0) <=> ~rich(X0)) [input p4]
10. ? [X0] : ~brave(X0) <=> (wise(paul) <~> strong(paul)) [input p9]
13. ! [X0] ... | 0 |
Everyone who is either patient or curious is strong or not quiet.
Everyone who is either brave or not rich is both quiet and not old.
If john is either not old or not wise then alice is either not happy or not quiet and vice versa.
Everyone who is both generous and humble is both happy and old and vice versa.
If someon... | Lucy is brave. | contradiction | (![X]:((patient(X)<~>curious(X))=>(strong(X)|~quiet(X))))&
(![X]:((brave(X)<~>~rich(X))=>(quiet(X)&~old(X))))&
(((~old(john)<~>~wise(john)))<=>((~happy(alice)<~>~quiet(alice))))&
(![X]:((generous(X)&humble(X))<=>(happy(X)&old(X))))&
((?[X]:((~kind(X)|~curious(X))))<=>((generous(lucy)|~patient(lucy))))&
((?[X]:((~kind(X... | brave(lucy) | [
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3671001986774980687129759
% SZS output start Proof for 3671001986774980687129759
12. ! [X0] : (strong(X0) <=> (happy(X0) & ~kind(X0))) [input p11]
14. ! [X0] : (happy(X0) => (~strong(X0) & curious(X0))) [input p13]
16. ? [X0] : (~funny(X0) | ~strong(X0)) <=> ~brave(lucy) [input p15]
24. b... | 0 |
If someone is either not wise or old then susan is both strong and kind and vice versa.
If someone is not brave then someone is calm.
If someone is not rich or old then someone is not rich and vice versa.
If mary is both funny and not kind then someone is both brave and wise.
Everyone who is both kind and happy is eith... | Susan is wise. | neutral | ((?[X]:((~wise(X)<~>old(X))))<=>((strong(susan)&kind(susan))))&
((?[X]:(~brave(X)))=>(?[X]:(calm(X))))&
((?[X]:((~rich(X)|old(X))))<=>(?[X]:(~rich(X))))&
(((funny(mary)&~kind(mary)))=>(?[X]:((brave(X)&wise(X)))))&
(![X]:((kind(X)&happy(X))=>(~funny(X)<~>quiet(X))))&
((~curious(alice))<=>(?[X]:((~creative(X)<~>happy(X))... | wise(susan) | [] | null | 0 |
If someone is not tall then susan is generous or kind and vice versa. Everyone who is not patient is either wise or strong and vice versa. Everyone who is calm is both not wise and not funny. Everyone who is both not curious and not rich is rich and vice versa. If someone is not old or not calm then lucy is funny or ha... | Lucy is rich. | contradiction | ((?[X]:(~tall(X)))<=>((generous(susan)|kind(susan))))&
(![X]:(~patient(X)<=>(wise(X)<~>strong(X))))&
(![X]:(calm(X)=>(~wise(X)&~funny(X))))&
(![X]:((~curious(X)&~rich(X))<=>rich(X)))&
((?[X]:((~old(X)|~calm(X))))<=>((funny(lucy)|happy(lucy))))&
(((~creative(mary)<~>~funny(mary)))=>((strong(alice)&~quiet(alice))))&
((?[... | rich(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6577363249702166866349481
% SZS output start Proof for 6577363249702166866349481
4. ! [X0] : ((~rich(X0) & ~curious(X0)) <=> rich(X0)) [input p3]
25. rich(lucy) [input hypothesis]
44. ! [X0] : (((~rich(X0) & ~curious(X0)) | ~rich(X0)) & (rich(X0) | (rich(X0) | curious(X0)))) [nnf transfor... | 0 |
If lucy is either not funny or strong then someone is both old and not strong. Everyone who is calm or generous is either humble or wise. If mary is not rich then paul is not calm or not happy. Everyone who is curious is creative. If someone is both humble and creative then mary is quiet. Everyone who is not calm is bo... | Lucy is not calm. | contradiction | (((~funny(lucy)<~>strong(lucy)))=>(?[X]:((old(X)&~strong(X)))))&
(![X]:((calm(X)|generous(X))=>(humble(X)<~>wise(X))))&
((~rich(mary))=>((~calm(paul)|~happy(paul))))&
(![X]:(curious(X)=>creative(X)))&
((?[X]:((humble(X)&creative(X))))=>(quiet(mary)))&
(![X]:(~calm(X)<=>(~brave(X)&old(X))))&
(![X]:((brave(X)&funny(X))<=... | ~calm(lucy) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4549966417368942049390165
% SZS output start Proof for 4549966417368942049390165
6. ! [X0] : (~calm(X0) <=> (old(X0) & ~brave(X0))) [input p5]
7. ! [X0] : ((funny(X0) & brave(X0)) <=> (old(X0) | brave(X0))) [input p6]
25. ~calm(lucy) [input hypothesis]
26. ! [X0] : (~calm(X0) => (old(X0) ... | 0 |
Everyone who is both not wise and calm is both wise and not curious and vice versa. If someone is both not calm and happy then mary is either generous or not generous. Everyone who is not creative is either patient or not strong and vice versa. If someone is not brave then susan is either not tall or not quiet. Everyon... | Susan is wise. | contradiction | (![X]:((~wise(X)&calm(X))<=>(wise(X)&~curious(X))))&
((?[X]:((~calm(X)&happy(X))))=>((generous(mary)<~>~generous(mary))))&
(![X]:(~creative(X)<=>(patient(X)<~>~strong(X))))&
((?[X]:(~brave(X)))=>((~tall(susan)<~>~quiet(susan))))&
(![X]:((~brave(X)|~patient(X))=>~generous(X)))&
(![X]:(~brave(X)=>(funny(X)|~wise(X))))&
(... | wise(susan) | [
"p3",
"p7",
"p8",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7625163634673131582623402
% SZS output start Proof for 7625163634673131582623402
4. ? [X0] : ~brave(X0) => (~tall(susan) <~> ~quiet(susan)) [input p3]
8. ! [X0] : ((~wise(X0) & kind(X0)) <=> (tall(X0) | brave(X0))) [input p7]
9. ! [X0] : ((~old(X0) & old(X0)) <=> (~quiet(X0) <~> ~generous... | 0 |
If someone is quiet then fred is either creative or generous.
Everyone who is not kind or not old is creative and vice versa.
Everyone who is either not funny or not rich is curious and vice versa.
If someone is creative then someone is either not tall or patient and vice versa.
Everyone who is both happy and curious i... | Alice is not tall. | entailment | ((?[X]:(quiet(X)))=>((creative(fred)<~>generous(fred))))&
(![X]:((~kind(X)|~old(X))<=>creative(X)))&
(![X]:((~funny(X)<~>~rich(X))<=>curious(X)))&
((?[X]:(creative(X)))<=>(?[X]:((~tall(X)<~>patient(X)))))&
(![X]:((happy(X)&curious(X))<=>(~happy(X)|curious(X))))&
(![X]:(~curious(X)=>(~generous(X)&~humble(X))))&
((?[X]:(... | ~tall(alice) | [
"p7",
"p8",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6714651960548758511624328
% SZS output start Proof for 6714651960548758511624328
8. ! [X0] : (~creative(X0) => ~patient(X0)) [input p7]
9. ? [X0] : ~old(X0) => ? [X0] : (~tall(X0) & ~brave(X0)) [input p8]
11. ! [X0] : ((~rich(X0) & ~generous(X0)) <=> (~creative(X0) <~> rich(X0))) [input p... | 0 |
If someone is either not creative or not humble then someone is both quiet and tall and vice versa.
If paul is either kind or generous then someone is not brave or not kind.
Everyone who is both not happy and tall is both old and not brave and vice versa.
Everyone who is not generous is curious or not happy.
If someone... | Paul is happy. | contradiction | ((?[X]:((~creative(X)<~>~humble(X))))<=>(?[X]:((quiet(X)&tall(X)))))&
(((kind(paul)<~>generous(paul)))=>(?[X]:((~brave(X)|~kind(X)))))&
(![X]:((~happy(X)&tall(X))<=>(old(X)&~brave(X))))&
(![X]:(~generous(X)=>(curious(X)|~happy(X))))&
((?[X]:(kind(X)))=>((~kind(fred)&~rich(fred))))&
(![X]:((~calm(X)&~patient(X))=>(funny... | happy(paul) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5298655328238480685660555
% SZS output start Proof for 5298655328238480685660555
3. ! [X0] : ((tall(X0) & ~happy(X0)) <=> (~brave(X0) & old(X0))) [input p2]
13. ! [X0] : ((~old(X0) | brave(X0)) => (~happy(X0) & ~brave(X0))) [input p12]
23. happy(paul) [input hypothesis]
35. ! [X0] : ((~ha... | 0 |
Everyone who is old is happy or not kind and vice versa.
If someone is not calm or tall then someone is either not humble or not strong and vice versa.
Everyone who is not kind is both wise and not strong.
Everyone who is either old or not curious is either not strong or generous and vice versa.
If someone is either no... | Mary is strong. | neutral | (![X]:(old(X)<=>(happy(X)|~kind(X))))&
((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~humble(X)<~>~strong(X)))))&
(![X]:(~kind(X)=>(wise(X)&~strong(X))))&
(![X]:((old(X)<~>~curious(X))<=>(~strong(X)<~>generous(X))))&
((?[X]:((~funny(X)<~>~creative(X))))<=>(?[X]:((~brave(X)<~>brave(X)))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>((~... | strong(mary) | [] | null | 0 |
If someone is either happy or funny then fred is not quiet or not funny and vice versa. Everyone who is both not happy and not quiet is either wise or not happy and vice versa. Everyone who is either not wise or not brave is both curious and not strong. If fred is old then lucy is either wise or not creative and vice v... | Lucy is not humble. | neutral | ((?[X]:((happy(X)<~>funny(X))))<=>((~quiet(fred)|~funny(fred))))&
(![X]:((~happy(X)&~quiet(X))<=>(wise(X)<~>~happy(X))))&
(![X]:((~wise(X)<~>~brave(X))=>(curious(X)&~strong(X))))&
((old(fred))<=>((wise(lucy)<~>~creative(lucy))))&
(![X]:((brave(X)<~>tall(X))=>(wise(X)&~brave(X))))&
(((generous(susan)&~generous(susan)))<... | ~humble(lucy) | [] | null | 0 |
If someone is old or wise then alice is calm. Everyone who is either not kind or not happy is either not quiet or old and vice versa. If someone is not old then susan is not funny. If mary is patient then someone is not calm and vice versa. If john is either not happy or rich then someone is old or not strong and vice ... | Alice is wise. | contradiction | ((?[X]:((old(X)|wise(X))))=>(calm(alice)))&
(![X]:((~kind(X)<~>~happy(X))<=>(~quiet(X)<~>old(X))))&
((?[X]:(~old(X)))=>(~funny(susan)))&
((patient(mary))<=>(?[X]:(~calm(X))))&
(((~happy(john)<~>rich(john)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((~quiet(X)|~happy(X))<=>(~funny(X)&rich(X))))&
(![X]:((~quiet(X)<~>calm(X... | wise(alice) | [
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2118836788005547582529051
% SZS output start Proof for 2118836788005547582529051
10. ! [X0] : ((~quiet(X0) & ~calm(X0)) => (~creative(X0) & calm(X0))) [input p9]
11. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (~quiet(X0) | ~funny(X0))) [input p10]
15. ! [X0] : ((~rich(X0) | quiet(X0)) => (~w... | 0 |
If fred is both not creative and not humble then someone is not funny or not kind and vice versa.
Everyone who is not humble is creative.
Everyone who is either wise or not rich is not generous.
If someone is not patient then someone is either old or quiet.
Everyone who is both not curious and not generous is not stron... | Mary is wise. | contradiction | (((~creative(fred)&~humble(fred)))<=>(?[X]:((~funny(X)|~kind(X)))))&
(![X]:(~humble(X)=>creative(X)))&
(![X]:((wise(X)<~>~rich(X))=>~generous(X)))&
((?[X]:(~patient(X)))=>(?[X]:((old(X)<~>quiet(X)))))&
(![X]:((~curious(X)&~generous(X))=>~strong(X)))&
(![X]:((happy(X)&generous(X))<=>~strong(X)))&
(![X]:((rich(X)|creativ... | wise(mary) | [
"p2",
"p5",
"p14",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4520699499345594664377288
% SZS output start Proof for 4520699499345594664377288
3. ! [X0] : ((wise(X0) <~> ~rich(X0)) => ~generous(X0)) [input p2]
6. ! [X0] : ((generous(X0) & happy(X0)) <=> ~strong(X0)) [input p5]
15. ! [X0] : ((wise(X0) <~> brave(X0)) => (~strong(X0) | ~wise(X0))) [inp... | 0 |
Everyone who is strong or creative is not old and vice versa.
Everyone who is both wise and creative is both curious and generous and vice versa.
Everyone who is funny or not creative is both not strong and not wise.
If someone is not rich then john is either brave or funny.
If lucy is both curious and rich then someon... | Mary is not funny. | entailment | (![X]:((strong(X)|creative(X))<=>~old(X)))&
(![X]:((wise(X)&creative(X))<=>(curious(X)&generous(X))))&
(![X]:((funny(X)|~creative(X))=>(~strong(X)&~wise(X))))&
((?[X]:(~rich(X)))=>((brave(john)<~>funny(john))))&
(((curious(lucy)&rich(lucy)))=>(?[X]:(~rich(X))))&
(![X]:((~quiet(X)&strong(X))<=>~creative(X)))&
((?[X]:((~... | ~funny(mary) | [
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5466575086476157943461651
% SZS output start Proof for 5466575086476157943461651
3. ! [X0] : ((~creative(X0) | funny(X0)) => (~wise(X0) & ~strong(X0))) [input p2]
6. ! [X0] : ((strong(X0) & ~quiet(X0)) <=> ~creative(X0)) [input p5]
10. ! [X0] : ((strong(X0) & ~creative(X0)) <=> ~wise(X0))... | 0 |
Everyone who is either patient or not humble is not kind or not creative and vice versa.
Everyone who is either not rich or not generous is both not kind and not brave.
If john is old or calm then someone is not strong or curious and vice versa.
If someone is strong or wise then fred is not tall or not patient and vice... | Mary is wise. | neutral | (![X]:((patient(X)<~>~humble(X))<=>(~kind(X)|~creative(X))))&
(![X]:((~rich(X)<~>~generous(X))=>(~kind(X)&~brave(X))))&
(((old(john)|calm(john)))<=>(?[X]:((~strong(X)|curious(X)))))&
((?[X]:((strong(X)|wise(X))))<=>((~tall(fred)|~patient(fred))))&
((?[X]:((funny(X)|quiet(X))))<=>(~calm(mary)))&
(![X]:((kind(X)<~>~wise(... | wise(mary) | [] | null | 0 |
Everyone who is kind or not quiet is not funny or not kind and vice versa.
Everyone who is strong or patient is either strong or old and vice versa.
If someone is creative then lucy is calm.
If john is funny then mary is not generous or funny.
Everyone who is not patient or not strong is kind.
Everyone who is creative ... | Lucy is quiet. | entailment | (![X]:((kind(X)|~quiet(X))<=>(~funny(X)|~kind(X))))&
(![X]:((strong(X)|patient(X))<=>(strong(X)<~>old(X))))&
((?[X]:(creative(X)))=>(calm(lucy)))&
((funny(john))=>((~generous(mary)|funny(mary))))&
(![X]:((~patient(X)|~strong(X))=>kind(X)))&
(![X]:((creative(X)|~funny(X))=>(~tall(X)|patient(X))))&
(![X]:(~strong(X)=>qui... | quiet(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6799211642039654275384001
% SZS output start Proof for 6799211642039654275384001
12. ! [X0] : ((brave(X0) & quiet(X0)) <=> (~quiet(X0) | ~humble(X0))) [input p11]
25. ~quiet(lucy) [input hypothesis]
55. ! [X0] : (((brave(X0) & quiet(X0)) | (quiet(X0) & humble(X0))) & ((~quiet(X0) | ~humbl... | 0 |
If someone is patient then someone is both old and generous. If fred is both not curious and not rich then someone is quiet. Everyone who is both not humble and humble is either not funny or old and vice versa. Everyone who is happy or tall is either not curious or creative. Everyone who is both tall and creative is no... | Susan is creative. | contradiction | ((?[X]:(patient(X)))=>(?[X]:((old(X)&generous(X)))))&
(((~curious(fred)&~rich(fred)))=>(?[X]:(quiet(X))))&
(![X]:((~humble(X)&humble(X))<=>(~funny(X)<~>old(X))))&
(![X]:((happy(X)|tall(X))=>(~curious(X)<~>creative(X))))&
(![X]:((tall(X)&creative(X))=>~humble(X)))&
(![X]:((old(X)|~wise(X))=>(~funny(X)<~>patient(X))))&
(... | creative(susan) | [
"p4",
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1438436800318089627659660
% SZS output start Proof for 1438436800318089627659660
5. ! [X0] : ((creative(X0) & tall(X0)) => ~humble(X0)) [input p4]
7. ? [X0] : (~curious(X0) | creative(X0)) <=> ? [X0] : (wise(X0) & old(X0)) [input p6]
11. ! [X0] : ((tall(X0) & creative(X0)) <=> wise(X0)) [... | 0 |
If fred is generous then alice is both tall and not happy and vice versa. Everyone who is not rich or generous is not old. Everyone who is either not humble or happy is not tall or old. If fred is both not rich and funny then paul is both not happy and strong and vice versa. If someone is not kind or curious then susan... | John is creative. | contradiction | ((generous(fred))<=>((tall(alice)&~happy(alice))))&
(![X]:((~rich(X)|generous(X))=>~old(X)))&
(![X]:((~humble(X)<~>happy(X))=>(~tall(X)|old(X))))&
(((~rich(fred)&funny(fred)))<=>((~happy(paul)&strong(paul))))&
((?[X]:((~kind(X)|curious(X))))=>(wise(susan)))&
(((~calm(susan)|~patient(susan)))=>(?[X]:((patient(X)<~>~brav... | creative(john) | [
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3290171602612564084723670
% SZS output start Proof for 3290171602612564084723670
7. ! [X0] : ((happy(X0) <~> ~rich(X0)) <=> happy(X0)) [input p6]
8. ! [X0] : ((~funny(X0) & ~rich(X0)) <=> creative(X0)) [input p7]
23. creative(john) [input hypothesis]
42. ! [X0] : ((((rich(X0) | ~happy(X0)... | 0 |
If someone is humble or brave then someone is creative and vice versa.
If lucy is both not patient and not creative then susan is not calm or not funny and vice versa.
Everyone who is not brave or not wise is not strong or wise.
Everyone who is both not calm and calm is funny or patient and vice versa.
Everyone who is ... | Mary is not funny. | entailment | ((?[X]:((humble(X)|brave(X))))<=>(?[X]:(creative(X))))&
(((~patient(lucy)&~creative(lucy)))<=>((~calm(susan)|~funny(susan))))&
(![X]:((~brave(X)|~wise(X))=>(~strong(X)|wise(X))))&
(![X]:((~calm(X)&calm(X))<=>(funny(X)|patient(X))))&
(![X]:((~curious(X)|generous(X))=>(funny(X)|quiet(X))))&
((?[X]:((wise(X)|~rich(X))))<=... | ~funny(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3866682734131264843710249
% SZS output start Proof for 3866682734131264843710249
4. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (patient(X0) | funny(X0))) [input p3]
18. funny(mary) [input hypothesis]
42. ! [X0] : (((calm(X0) & ~calm(X0)) | (~patient(X0) & ~funny(X0))) & ((patient(X0) | funny(X0... | 0 |
If someone is not tall then susan is both not kind and rich and vice versa. If someone is both not creative and wise then someone is not rich or not humble. Everyone who is either not tall or humble is both rich and calm and vice versa. If paul is not brave then john is humble or old and vice versa. Everyone who is eit... | Lucy is not old. | neutral | ((?[X]:(~tall(X)))<=>((~kind(susan)&rich(susan))))&
((?[X]:((~creative(X)&wise(X))))=>(?[X]:((~rich(X)|~humble(X)))))&
(![X]:((~tall(X)<~>humble(X))<=>(rich(X)&calm(X))))&
((~brave(paul))<=>((humble(john)|old(john))))&
(![X]:((creative(X)<~>brave(X))<=>(brave(X)&~creative(X))))&
((curious(alice))=>(~patient(susan)))&
(... | ~old(lucy) | [] | null | 0 |
Everyone who is not generous or generous is not rich and vice versa.
Everyone who is not funny or quiet is not patient and vice versa.
Everyone who is not old is generous.
If someone is both patient and brave then alice is not creative or generous and vice versa.
Everyone who is both curious and not kind is either rich... | Fred is patient. | neutral | (![X]:((~generous(X)|generous(X))<=>~rich(X)))&
(![X]:((~funny(X)|quiet(X))<=>~patient(X)))&
(![X]:(~old(X)=>generous(X)))&
((?[X]:((patient(X)&brave(X))))<=>((~creative(alice)|generous(alice))))&
(![X]:((curious(X)&~kind(X))=>(rich(X)<~>~old(X))))&
(![X]:((~happy(X)&~old(X))<=>(~quiet(X)&~curious(X))))&
((curious(mary... | patient(fred) | [] | null | 0 |
Everyone who is tall or not rich is quiet or not brave. Everyone who is not quiet is not happy. If paul is not curious then someone is creative or not generous. If someone is either not wise or not curious then susan is quiet or kind. Everyone who is happy is not curious. If susan is humble then someone is not generous... | Paul is not patient. | neutral | (![X]:((tall(X)|~rich(X))=>(quiet(X)|~brave(X))))&
(![X]:(~quiet(X)=>~happy(X)))&
((~curious(paul))=>(?[X]:((creative(X)|~generous(X)))))&
((?[X]:((~wise(X)<~>~curious(X))))=>((quiet(susan)|kind(susan))))&
(![X]:(happy(X)=>~curious(X)))&
((humble(susan))<=>(?[X]:(~generous(X))))&
(![X]:(~wise(X)=>(~kind(X)<~>generous(X... | ~patient(paul) | [] | null | 0 |
If mary is both not happy and rich then someone is either not quiet or kind and vice versa.
Everyone who is calm or humble is not strong or patient.
Everyone who is either patient or not humble is not patient or not quiet.
Everyone who is either not curious or not brave is rich or not tall and vice versa.
If mary is bo... | Paul is not curious. | contradiction | (((~happy(mary)&rich(mary)))<=>(?[X]:((~quiet(X)<~>kind(X)))))&
(![X]:((calm(X)|humble(X))=>(~strong(X)|patient(X))))&
(![X]:((patient(X)<~>~humble(X))=>(~patient(X)|~quiet(X))))&
(![X]:((~curious(X)<~>~brave(X))<=>(rich(X)|~tall(X))))&
(((~creative(mary)&~humble(mary)))=>(?[X]:(rich(X))))&
(![X]:((kind(X)&quiet(X))<=>... | ~curious(paul) | [
"p3",
"p5",
"p6",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2162179738007030803715411
% SZS output start Proof for 2162179738007030803715411
4. ! [X0] : ((~curious(X0) <~> ~brave(X0)) <=> (~tall(X0) | rich(X0))) [input p3]
6. ! [X0] : ((quiet(X0) & kind(X0)) <=> (rich(X0) | tall(X0))) [input p5]
7. ? [X0] : (calm(X0) & rich(X0)) <=> ? [X0] : (humb... | 0 |
Everyone who is brave or kind is not strong.
If someone is either not humble or humble then fred is both humble and quiet.
Everyone who is either brave or not calm is not brave and vice versa.
Everyone who is either quiet or creative is not patient and vice versa.
Everyone who is both not quiet and not brave is both no... | Lucy is funny. | contradiction | (![X]:((brave(X)|kind(X))=>~strong(X)))&
((?[X]:((~humble(X)<~>humble(X))))=>((humble(fred)&quiet(fred))))&
(![X]:((brave(X)<~>~calm(X))<=>~brave(X)))&
(![X]:((quiet(X)<~>creative(X))<=>~patient(X)))&
(![X]:((~quiet(X)&~brave(X))<=>(~brave(X)&funny(X))))&
((?[X]:((humble(X)<~>~quiet(X))))=>((calm(mary)|~quiet(mary))))&... | funny(lucy) | [
"p8",
"p10",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7127340251570011937136279
% SZS output start Proof for 7127340251570011937136279
9. ! [X0] : (~generous(X0) => happy(X0)) [input p8]
11. ! [X0] : (funny(X0) => (~funny(X0) | ~happy(X0))) [input p10]
14. (~kind(lucy) & ~generous(lucy)) <=> ? [X0] : curious(X0) [input p13]
22. ? [X0] : (cur... | 0 |
Everyone who is either humble or not happy is brave and vice versa. Everyone who is quiet or patient is not strong. Everyone who is either calm or not funny is both not curious and not generous. Everyone who is not generous or creative is either brave or kind and vice versa. Everyone who is humble or not rich is not ri... | Lucy is not wise. | contradiction | (![X]:((humble(X)<~>~happy(X))<=>brave(X)))&
(![X]:((quiet(X)|patient(X))=>~strong(X)))&
(![X]:((calm(X)<~>~funny(X))=>(~curious(X)&~generous(X))))&
(![X]:((~generous(X)|creative(X))<=>(brave(X)<~>kind(X))))&
(![X]:((humble(X)|~rich(X))=>(~rich(X)|~brave(X))))&
(![X]:((patient(X)&calm(X))<=>(~funny(X)<~>~kind(X))))&
(!... | ~wise(lucy) | [
"p3",
"p5",
"p7",
"p8",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7211837808167163055539513
% SZS output start Proof for 7211837808167163055539513
4. ! [X0] : ((creative(X0) | ~generous(X0)) <=> (brave(X0) <~> kind(X0))) [input p3]
6. ! [X0] : ((calm(X0) & patient(X0)) <=> (~funny(X0) <~> ~kind(X0))) [input p5]
8. ! [X0] : (creative(X0) <=> (~wise(X0) |... | 0 |
Everyone who is both rich and kind is generous. If someone is both happy and humble then someone is both rich and not patient and vice versa. Everyone who is either wise or kind is generous or not old and vice versa. Everyone who is calm is curious. If john is not funny or not wise then mary is either not brave or not ... | Susan is not patient. | neutral | (![X]:((rich(X)&kind(X))=>generous(X)))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:((rich(X)&~patient(X)))))&
(![X]:((wise(X)<~>kind(X))<=>(generous(X)|~old(X))))&
(![X]:(calm(X)=>curious(X)))&
(((~funny(john)|~wise(john)))<=>((~brave(mary)<~>~happy(mary))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)&~wise(X))))&
(![X]:... | ~patient(susan) | [] | null | 0 |
If someone is brave or humble then susan is not rich or not generous and vice versa.
If someone is either not generous or not strong then alice is tall and vice versa.
Everyone who is both not wise and not quiet is both not tall and not curious.
If someone is creative then john is both curious and strong.
Everyone who ... | Paul is calm. | neutral | ((?[X]:((brave(X)|humble(X))))<=>((~rich(susan)|~generous(susan))))&
((?[X]:((~generous(X)<~>~strong(X))))<=>(tall(alice)))&
(![X]:((~wise(X)&~quiet(X))=>(~tall(X)&~curious(X))))&
((?[X]:(creative(X)))=>((curious(john)&strong(john))))&
(![X]:(~generous(X)=>(creative(X)<~>old(X))))&
(![X]:((~wise(X)<~>rich(X))=>creative... | calm(paul) | [] | null | 0 |
Everyone who is either not patient or not curious is not funny.
Everyone who is curious is both brave and not quiet and vice versa.
If someone is wise then someone is humble or calm.
Everyone who is both quiet and generous is not old or strong.
If lucy is both not quiet and calm then someone is both not curious and bra... | Susan is not tall. | contradiction | (![X]:((~patient(X)<~>~curious(X))=>~funny(X)))&
(![X]:(curious(X)<=>(brave(X)&~quiet(X))))&
((?[X]:(wise(X)))=>(?[X]:((humble(X)|calm(X)))))&
(![X]:((quiet(X)&generous(X))=>(~old(X)|strong(X))))&
(((~quiet(lucy)&calm(lucy)))=>(?[X]:((~curious(X)&brave(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((creative(X)<~>~quiet(X)))))&
(... | ~tall(susan) | [
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1121106566421887118843891
% SZS output start Proof for 1121106566421887118843891
10. ? [X0] : (tall(X0) <~> humble(X0)) <=> (tall(susan) & patient(susan)) [input p9]
20. ? [X0] : (humble(X0) & ~tall(X0)) [input p19]
24. ~tall(susan) [input hypothesis]
51. (? [X0] : ((~humble(X0) | ~tall(X... | 0 |
If fred is curious or tall then fred is not creative or not tall.
Everyone who is both not strong and old is not tall.
Everyone who is both happy and not old is kind or not calm and vice versa.
If someone is both not quiet and not old then alice is both not calm and not humble and vice versa.
If someone is either not w... | Paul is happy. | entailment | (((curious(fred)|tall(fred)))=>((~creative(fred)|~tall(fred))))&
(![X]:((~strong(X)&old(X))=>~tall(X)))&
(![X]:((happy(X)&~old(X))<=>(kind(X)|~calm(X))))&
((?[X]:((~quiet(X)&~old(X))))<=>((~calm(alice)&~humble(alice))))&
((?[X]:((~wise(X)<~>kind(X))))<=>((~calm(john)&calm(john))))&
(![X]:(funny(X)=>(brave(X)|~quiet(X))... | happy(paul) | [
"p2",
"p4",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 235525649109114188616409
% SZS output start Proof for 235525649109114188616409
3. ! [X0] : ((~old(X0) & happy(X0)) <=> (~calm(X0) | kind(X0))) [input p2]
5. ? [X0] : (~wise(X0) <~> kind(X0)) <=> (calm(john) & ~calm(john)) [input p4]
8. ! [X0] : ((~old(X0) | ~happy(X0)) <=> (~humble(X0) & ... | 0 |
Everyone who is quiet is strong or humble and vice versa.
Everyone who is both not happy and tall is happy or kind and vice versa.
If someone is not old then paul is either creative or not humble and vice versa.
If someone is either funny or not creative then someone is not generous or kind and vice versa.
Everyone who... | Alice is happy. | contradiction | (![X]:(quiet(X)<=>(strong(X)|humble(X))))&
(![X]:((~happy(X)&tall(X))<=>(happy(X)|kind(X))))&
((?[X]:(~old(X)))<=>((creative(paul)<~>~humble(paul))))&
((?[X]:((funny(X)<~>~creative(X))))<=>(?[X]:((~generous(X)|kind(X)))))&
(![X]:((wise(X)<~>~calm(X))=>(~patient(X)|kind(X))))&
(![X]:((~funny(X)&~kind(X))=>(generous(X)|~... | happy(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8672094156284207816779009
% SZS output start Proof for 8672094156284207816779009
2. ! [X0] : ((tall(X0) & ~happy(X0)) <=> (kind(X0) | happy(X0))) [input p1]
21. happy(alice) [input hypothesis]
36. ! [X0] : (((tall(X0) & ~happy(X0)) | (~kind(X0) & ~happy(X0))) & ((kind(X0) | happy(X0)) | (... | 0 |
Everyone who is both not rich and patient is strong. Everyone who is calm is not old. If someone is both not curious and old then lucy is not wise. Everyone who is both calm and not brave is either not tall or curious and vice versa. Everyone who is both not rich and not tall is not rich. Everyone who is tall or not wi... | Fred is strong. | neutral | (![X]:((~rich(X)&patient(X))=>strong(X)))&
(![X]:(calm(X)=>~old(X)))&
((?[X]:((~curious(X)&old(X))))=>(~wise(lucy)))&
(![X]:((calm(X)&~brave(X))<=>(~tall(X)<~>curious(X))))&
(![X]:((~rich(X)&~tall(X))=>~rich(X)))&
(![X]:((tall(X)|~wise(X))<=>strong(X)))&
(![X]:((tall(X)&calm(X))<=>~quiet(X)))&
((?[X]:((generous(X)&~tal... | strong(fred) | [] | null | 0 |
Everyone who is both not tall and not old is either strong or patient.
Everyone who is either quiet or not tall is not creative and vice versa.
Everyone who is both not rich and rich is not generous or not curious.
If someone is both not funny and not quiet then someone is both not humble and not patient.
Everyone who ... | Mary is humble. | contradiction | (![X]:((~tall(X)&~old(X))=>(strong(X)<~>patient(X))))&
(![X]:((quiet(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((~rich(X)&rich(X))=>(~generous(X)|~curious(X))))&
((?[X]:((~funny(X)&~quiet(X))))=>(?[X]:((~humble(X)&~patient(X)))))&
(![X]:((~quiet(X)&~funny(X))=>(~generous(X)&~curious(X))))&
(![X]:((~brave(X)&tall(X))<=>(ge... | humble(mary) | [
"p1",
"p4",
"p9",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7571179680365770865628905
% SZS output start Proof for 7571179680365770865628905
2. ! [X0] : ((quiet(X0) <~> ~tall(X0)) <=> ~creative(X0)) [input p1]
5. ! [X0] : ((~funny(X0) & ~quiet(X0)) => (~curious(X0) & ~generous(X0))) [input p4]
10. ! [X0] : ((~wise(X0) & ~tall(X0)) <=> (~happy(X0) ... | 0 |
Everyone who is both not rich and strong is either patient or not funny and vice versa.
If john is both not curious and happy then someone is either quiet or happy and vice versa.
Everyone who is humble or strong is both not brave and old.
If mary is not kind or not curious then someone is not calm or calm.
Everyone wh... | Mary is curious. | entailment | (![X]:((~rich(X)&strong(X))<=>(patient(X)<~>~funny(X))))&
(((~curious(john)&happy(john)))<=>(?[X]:((quiet(X)<~>happy(X)))))&
(![X]:((humble(X)|strong(X))=>(~brave(X)&old(X))))&
(((~kind(mary)|~curious(mary)))=>(?[X]:((~calm(X)|calm(X)))))&
(![X]:((~curious(X)<~>old(X))=>(~tall(X)<~>creative(X))))&
(![X]:((~curious(X)|~... | curious(mary) | [
"p2",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1377522048232068006582168
% SZS output start Proof for 1377522048232068006582168
3. ! [X0] : ((strong(X0) | humble(X0)) => (old(X0) & ~brave(X0))) [input p2]
6. ! [X0] : ((~kind(X0) | ~curious(X0)) <=> (creative(X0) & humble(X0))) [input p5]
9. ! [X0] : ((creative(X0) | ~funny(X0)) => (~o... | 0 |
Everyone who is either happy or not curious is not tall or curious and vice versa.
Everyone who is not wise is either not kind or humble and vice versa.
If lucy is curious or not kind then lucy is both not funny and generous and vice versa.
Everyone who is both not quiet and generous is both not tall and not happy.
Eve... | Lucy is not humble. | entailment | (![X]:((happy(X)<~>~curious(X))<=>(~tall(X)|curious(X))))&
(![X]:(~wise(X)<=>(~kind(X)<~>humble(X))))&
(((curious(lucy)|~kind(lucy)))<=>((~funny(lucy)&generous(lucy))))&
(![X]:((~quiet(X)&generous(X))=>(~tall(X)&~happy(X))))&
(![X]:((humble(X)&~generous(X))<=>(~funny(X)|rich(X))))&
(((quiet(susan)&strong(susan)))<=>((t... | ~humble(lucy) | [
"p1",
"p2",
"p4",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 568842647909822985962009
% SZS output start Proof for 568842647909822985962009
2. ! [X0] : (~wise(X0) <=> (~kind(X0) <~> humble(X0))) [input p1]
3. (~kind(lucy) | curious(lucy)) <=> (generous(lucy) & ~funny(lucy)) [input p2]
5. ! [X0] : ((~generous(X0) & humble(X0)) <=> (rich(X0) | ~funny... | 0 |
Everyone who is humble is wise or not wise and vice versa. Everyone who is not old is happy or patient. If someone is old then mary is not tall or strong. Everyone who is both not calm and rich is either not kind or not wise and vice versa. If lucy is either brave or happy then someone is both not kind and not generous... | Alice is not brave. | contradiction | (![X]:(humble(X)<=>(wise(X)|~wise(X))))&
(![X]:(~old(X)=>(happy(X)|patient(X))))&
((?[X]:(old(X)))=>((~tall(mary)|strong(mary))))&
(![X]:((~calm(X)&rich(X))<=>(~kind(X)<~>~wise(X))))&
(((brave(lucy)<~>happy(lucy)))<=>(?[X]:((~kind(X)&~generous(X)))))&
((?[X]:(strong(X)))<=>((happy(lucy)|~wise(lucy))))&
(![X]:((patient(... | ~brave(alice) | [
"p0",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6794254783165491967996853
% SZS output start Proof for 6794254783165491967996853
1. ! [X0] : (humble(X0) <=> (~wise(X0) | wise(X0))) [input p0]
15. (~brave(alice) <~> humble(alice)) <=> ? [X0] : ~strong(X0) [input p14]
21. ? [X0] : (generous(X0) & ~strong(X0)) [input p20]
25. ~brave(alice... | 0 |
Everyone who is not tall is patient or not patient.
Everyone who is curious or funny is both not humble and not tall.
Everyone who is not rich or not old is not generous and vice versa.
If john is either funny or not rich then someone is creative and vice versa.
If someone is both not brave and not funny then someone i... | Susan is not generous. | entailment | (![X]:(~tall(X)=>(patient(X)|~patient(X))))&
(![X]:((curious(X)|funny(X))=>(~humble(X)&~tall(X))))&
(![X]:((~rich(X)|~old(X))<=>~generous(X)))&
(((funny(john)<~>~rich(john)))<=>(?[X]:(creative(X))))&
((?[X]:((~brave(X)&~funny(X))))<=>(?[X]:(~old(X))))&
(![X]:((~rich(X)&~kind(X))<=>quiet(X)))&
(![X]:((curious(X)&generou... | ~generous(susan) | [
"p1",
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3114206158644384734651902
% SZS output start Proof for 3114206158644384734651902
2. ! [X0] : ((funny(X0) | curious(X0)) => (~tall(X0) & ~humble(X0))) [input p1]
7. ! [X0] : ((generous(X0) & curious(X0)) => (humble(X0) & ~calm(X0))) [input p6]
20. curious(susan) [input p19]
24. generous(su... | 0 |
Everyone who is not rich or rich is both not humble and brave.
Everyone who is both strong and brave is not wise.
Everyone who is both not funny and not kind is either strong or happy and vice versa.
If someone is funny then someone is wise or quiet.
Everyone who is not wise or happy is both creative and wise.
If someo... | Paul is brave. | entailment | (![X]:((~rich(X)|rich(X))=>(~humble(X)&brave(X))))&
(![X]:((strong(X)&brave(X))=>~wise(X)))&
(![X]:((~funny(X)&~kind(X))<=>(strong(X)<~>happy(X))))&
((?[X]:(funny(X)))=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((~wise(X)|happy(X))=>(creative(X)&wise(X))))&
((?[X]:((rich(X)|~creative(X))))=>(?[X]:((~curious(X)|old(X)))))&
((... | brave(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 2318633260401100087295408
% SZS output start Proof for 2318633260401100087295408
1. ! [X0] : ((rich(X0) | ~rich(X0)) => (brave(X0) & ~humble(X0))) [input p0]
23. ~brave(paul) [input hypothesis]
26. ! [X0] : ((brave(X0) & ~humble(X0)) | (~rich(X0) & rich(X0))) [ennf transformation 1]
76. b... | 0 |
If someone is not generous or not humble then lucy is either not old or humble.
If someone is either creative or not curious then john is either funny or happy and vice versa.
Everyone who is either curious or not generous is calm or curious and vice versa.
If paul is either not old or not funny then someone is both ha... | John is generous. | contradiction | ((?[X]:((~generous(X)|~humble(X))))=>((~old(lucy)<~>humble(lucy))))&
((?[X]:((creative(X)<~>~curious(X))))<=>((funny(john)<~>happy(john))))&
(![X]:((curious(X)<~>~generous(X))<=>(calm(X)|curious(X))))&
(((~old(paul)<~>~funny(paul)))=>(?[X]:((happy(X)&old(X)))))&
(![X]:((~rich(X)|~generous(X))<=>~old(X)))&
(![X]:(~funny... | generous(john) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9125205258044798715738050
% SZS output start Proof for 9125205258044798715738050
15. (generous(john) | creative(john)) => ? [X0] : (~generous(X0) & generous(X0)) [input p14]
25. generous(john) [input hypothesis]
37. ? [X0] : (~generous(X0) & generous(X0)) | (~generous(john) & ~creative(jo... | 0 |
Everyone who is either not tall or humble is either not creative or not kind and vice versa. If someone is quiet then someone is not calm. If someone is both not humble and creative then lucy is quiet or not tall. Everyone who is either happy or generous is both not creative and quiet. Everyone who is both generous and... | Lucy is not creative. | entailment | (![X]:((~tall(X)<~>humble(X))<=>(~creative(X)<~>~kind(X))))&
((?[X]:(quiet(X)))=>(?[X]:(~calm(X))))&
((?[X]:((~humble(X)&creative(X))))=>((quiet(lucy)|~tall(lucy))))&
(![X]:((happy(X)<~>generous(X))=>(~creative(X)&quiet(X))))&
(![X]:((generous(X)&~quiet(X))<=>(happy(X)&calm(X))))&
((?[X]:((brave(X)|creative(X))))<=>((~... | ~creative(lucy) | [
"p5",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8333356010454068181132305
% SZS output start Proof for 8333356010454068181132305
6. ? [X0] : (creative(X0) | brave(X0)) <=> (~strong(alice) & ~old(alice)) [input p5]
9. ! [X0] : (~tall(X0) => (tall(X0) & wise(X0))) [input p8]
10. ! [X0] : (~generous(X0) <=> (tall(X0) | ~wise(X0))) [input ... | 0 |
If fred is either not creative or patient then lucy is either strong or not brave and vice versa. Everyone who is old is not humble and vice versa. If someone is either not wise or not funny then susan is both not creative and creative. Everyone who is not patient is curious or not curious. Everyone who is rich is old ... | Alice is not generous. | neutral | (((~creative(fred)<~>patient(fred)))<=>((strong(lucy)<~>~brave(lucy))))&
(![X]:(old(X)<=>~humble(X)))&
((?[X]:((~wise(X)<~>~funny(X))))=>((~creative(susan)&creative(susan))))&
(![X]:(~patient(X)=>(curious(X)|~curious(X))))&
(![X]:(rich(X)<=>old(X)))&
(((~curious(alice)|old(alice)))=>(?[X]:((calm(X)&~strong(X)))))&
(((~... | ~generous(alice) | [] | null | 0 |
If fred is tall or not patient then paul is not kind or happy and vice versa. Everyone who is quiet is kind. Everyone who is either rich or funny is either strong or generous and vice versa. Everyone who is either tall or creative is quiet or not strong. Everyone who is both not tall and wise is not curious and vice ve... | Paul is not curious. | contradiction | (((tall(fred)|~patient(fred)))<=>((~kind(paul)|happy(paul))))&
(![X]:(quiet(X)=>kind(X)))&
(![X]:((rich(X)<~>funny(X))<=>(strong(X)<~>generous(X))))&
(![X]:((tall(X)<~>creative(X))=>(quiet(X)|~strong(X))))&
(![X]:((~tall(X)&wise(X))<=>~curious(X)))&
(![X]:(generous(X)<=>(brave(X)|old(X))))&
(![X]:((~rich(X)|brave(X))<=... | ~curious(paul) | [
"p2",
"p3",
"p4",
"p5",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5798737951297405755518675
% SZS output start Proof for 5798737951297405755518675
3. ! [X0] : ((rich(X0) <~> funny(X0)) <=> (strong(X0) <~> generous(X0))) [input p2]
4. ! [X0] : ((tall(X0) <~> creative(X0)) => (~strong(X0) | quiet(X0))) [input p3]
5. ! [X0] : ((wise(X0) & ~tall(X0)) <=> ~c... | 0 |
If someone is not tall then someone is either kind or old.
If mary is either calm or not calm then someone is not funny and vice versa.
If someone is both not creative and calm then lucy is either not humble or not brave and vice versa.
If someone is either rich or not calm then someone is brave or kind.
If susan is ei... | Alice is not calm. | neutral | ((?[X]:(~tall(X)))=>(?[X]:((kind(X)<~>old(X)))))&
(((calm(mary)<~>~calm(mary)))<=>(?[X]:(~funny(X))))&
((?[X]:((~creative(X)&calm(X))))<=>((~humble(lucy)<~>~brave(lucy))))&
((?[X]:((rich(X)<~>~calm(X))))=>(?[X]:((brave(X)|kind(X)))))&
(((funny(susan)<~>~tall(susan)))<=>((~quiet(john)<~>rich(john))))&
((?[X]:((tall(X)&f... | ~calm(alice) | [] | null | 0 |
Everyone who is creative or not generous is wise.
Everyone who is brave or not rich is not wise or not generous and vice versa.
Everyone who is not quiet or creative is either not quiet or happy and vice versa.
Everyone who is both not quiet and not calm is old or not humble and vice versa.
Everyone who is not calm is ... | Alice is rich. | contradiction | (![X]:((creative(X)|~generous(X))=>wise(X)))&
(![X]:((brave(X)|~rich(X))<=>(~wise(X)|~generous(X))))&
(![X]:((~quiet(X)|creative(X))<=>(~quiet(X)<~>happy(X))))&
(![X]:((~quiet(X)&~calm(X))<=>(old(X)|~humble(X))))&
(![X]:(~calm(X)<=>(wise(X)|strong(X))))&
(![X]:(calm(X)<=>(~calm(X)|~funny(X))))&
(![X]:((calm(X)<~>~funny... | rich(alice) | [
"p1",
"p3",
"p4",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6627840819426939695962361
% SZS output start Proof for 6627840819426939695962361
2. ! [X0] : ((~rich(X0) | brave(X0)) <=> (~generous(X0) | ~wise(X0))) [input p1]
4. ! [X0] : ((~calm(X0) & ~quiet(X0)) <=> (~humble(X0) | old(X0))) [input p3]
5. ! [X0] : (~calm(X0) <=> (strong(X0) | wise(X0)... | 0 |
Everyone who is curious is either not generous or not rich and vice versa.
Everyone who is humble is both not wise and generous.
If susan is tall or creative then someone is both generous and patient.
If someone is both curious and not generous then someone is both not funny and creative.
Everyone who is both not creat... | Paul is brave. | contradiction | (![X]:(curious(X)<=>(~generous(X)<~>~rich(X))))&
(![X]:(humble(X)=>(~wise(X)&generous(X))))&
(((tall(susan)|creative(susan)))=>(?[X]:((generous(X)&patient(X)))))&
((?[X]:((curious(X)&~generous(X))))=>(?[X]:((~funny(X)&creative(X)))))&
(![X]:((~creative(X)&~calm(X))=>(~humble(X)<~>generous(X))))&
(![X]:((~patient(X)&ric... | brave(paul) | [
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 821021859484749406940325
% SZS output start Proof for 821021859484749406940325
7. ! [X0] : ((brave(X0) <~> ~strong(X0)) => (~funny(X0) & wise(X0))) [input p6]
8. ! [X0] : ((funny(X0) <~> ~strong(X0)) <=> (strong(X0) | ~wise(X0))) [input p7]
9. ! [X0] : ((~calm(X0) | ~strong(X0)) <=> ~brav... | 0 |
Everyone who is both not curious and not strong is either not wise or strong.
If someone is not curious or funny then fred is not patient.
Everyone who is old is either not quiet or quiet and vice versa.
If someone is both not kind and not funny then someone is patient.
If someone is not patient or not humble then some... | Alice is creative. | contradiction | (![X]:((~curious(X)&~strong(X))=>(~wise(X)<~>strong(X))))&
((?[X]:((~curious(X)|funny(X))))=>(~patient(fred)))&
(![X]:(old(X)<=>(~quiet(X)<~>quiet(X))))&
((?[X]:((~kind(X)&~funny(X))))=>(?[X]:(patient(X))))&
((?[X]:((~patient(X)|~humble(X))))=>(?[X]:((tall(X)|happy(X)))))&
(((strong(john)&~happy(john)))<=>((~kind(john)... | creative(alice) | [
"p1",
"p2",
"p8",
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1263914497016680152621019
% SZS output start Proof for 1263914497016680152621019
2. ? [X0] : (funny(X0) | ~curious(X0)) => ~patient(fred) [input p1]
3. ! [X0] : (old(X0) <=> (~quiet(X0) <~> quiet(X0))) [input p2]
9. (~quiet(fred) | ~tall(fred)) => (tall(paul) & ~quiet(paul)) [input p8]
12... | 0 |
Everyone who is either not generous or not wise is either creative or not generous and vice versa.
Everyone who is tall or wise is not curious or not kind and vice versa.
If alice is not funny then someone is not humble or quiet.
If alice is both patient and not tall then someone is both not calm and not strong.
If luc... | Lucy is patient. | entailment | (![X]:((~generous(X)<~>~wise(X))<=>(creative(X)<~>~generous(X))))&
(![X]:((tall(X)|wise(X))<=>(~curious(X)|~kind(X))))&
((~funny(alice))=>(?[X]:((~humble(X)|quiet(X)))))&
(((patient(alice)&~tall(alice)))=>(?[X]:((~calm(X)&~strong(X)))))&
((~patient(lucy))=>(?[X]:((patient(X)&~patient(X)))))&
(![X]:(~humble(X)=>(~rich(X... | patient(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1225523355250632732135839
% SZS output start Proof for 1225523355250632732135839
5. ~patient(lucy) => ? [X0] : (~patient(X0) & patient(X0)) [input p4]
20. ~patient(lucy) [input hypothesis]
26. ? [X0] : (~patient(X0) & patient(X0)) | patient(lucy) [ennf transformation 5]
38. ? [X0] : (~pat... | 0 |
If someone is either not funny or curious then lucy is funny and vice versa.
If alice is both not humble and wise then someone is both not brave and generous.
Everyone who is both not creative and old is either generous or calm and vice versa.
Everyone who is either not creative or kind is either not tall or not kind.
... | Susan is humble. | neutral | ((?[X]:((~funny(X)<~>curious(X))))<=>(funny(lucy)))&
(((~humble(alice)&wise(alice)))=>(?[X]:((~brave(X)&generous(X)))))&
(![X]:((~creative(X)&old(X))<=>(generous(X)<~>calm(X))))&
(![X]:((~creative(X)<~>kind(X))=>(~tall(X)<~>~kind(X))))&
(![X]:((brave(X)<~>creative(X))<=>(~brave(X)&generous(X))))&
(![X]:((kind(X)&curiou... | humble(susan) | [] | null | 0 |
Everyone who is either strong or not calm is strong or not creative and vice versa.
Everyone who is either not brave or brave is both not happy and not tall and vice versa.
If alice is either not generous or not curious then someone is not quiet or not old and vice versa.
Everyone who is not quiet or strong is not calm... | Alice is not happy. | entailment | (![X]:((strong(X)<~>~calm(X))<=>(strong(X)|~creative(X))))&
(![X]:((~brave(X)<~>brave(X))<=>(~happy(X)&~tall(X))))&
(((~generous(alice)<~>~curious(alice)))<=>(?[X]:((~quiet(X)|~old(X)))))&
(![X]:((~quiet(X)|strong(X))=>(~calm(X)|calm(X))))&
((?[X]:((humble(X)|~creative(X))))<=>(rich(lucy)))&
((?[X]:((~funny(X)&patient(... | ~happy(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4240212673050424566710339
% SZS output start Proof for 4240212673050424566710339
2. ! [X0] : ((~brave(X0) <~> brave(X0)) <=> (~tall(X0) & ~happy(X0))) [input p1]
23. happy(alice) [input hypothesis]
37. ! [X0] : ((((~brave(X0) | brave(X0)) & (brave(X0) | ~brave(X0))) | (tall(X0) | happy(X0... | 0 |
If lucy is not funny or humble then someone is both generous and not brave and vice versa.
Everyone who is creative or not creative is not rich and vice versa.
If someone is both not funny and not tall then alice is both funny and not kind and vice versa.
Everyone who is not brave or calm is humble or happy and vice ve... | Mary is not curious. | entailment | (((~funny(lucy)|humble(lucy)))<=>(?[X]:((generous(X)&~brave(X)))))&
(![X]:((creative(X)|~creative(X))<=>~rich(X)))&
((?[X]:((~funny(X)&~tall(X))))<=>((funny(alice)&~kind(alice))))&
(![X]:((~brave(X)|calm(X))<=>(humble(X)|happy(X))))&
(![X]:(wise(X)<=>~rich(X)))&
(![X]:((calm(X)|humble(X))=>quiet(X)))&
((calm(susan))<=>... | ~curious(mary) | [
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6160526756611903273235962
% SZS output start Proof for 6160526756611903273235962
12. ~curious(mary) <=> (kind(lucy) | ~happy(lucy)) [input p11]
13. ! [X0] : (~happy(X0) <=> quiet(X0)) [input p12]
18. quiet(lucy) [input p17]
24. curious(mary) [input hypothesis]
60. (~curious(mary) | (~kind... | 0 |
Everyone who is calm is not creative or creative.
Everyone who is either not wise or quiet is either old or not generous.
Everyone who is either brave or strong is both not happy and old and vice versa.
Everyone who is both happy and not patient is both calm and not calm.
If someone is kind or patient then someone is f... | Susan is strong. | neutral | (![X]:(calm(X)=>(~creative(X)|creative(X))))&
(![X]:((~wise(X)<~>quiet(X))=>(old(X)<~>~generous(X))))&
(![X]:((brave(X)<~>strong(X))<=>(~happy(X)&old(X))))&
(![X]:((happy(X)&~patient(X))=>(calm(X)&~calm(X))))&
((?[X]:((kind(X)|patient(X))))<=>(?[X]:((funny(X)|~wise(X)))))&
((?[X]:((calm(X)&~calm(X))))=>(?[X]:(generous(... | strong(susan) | [] | null | 0 |
If someone is quiet or not tall then someone is either tall or brave.
If mary is not tall or humble then alice is not wise or not kind.
If someone is calm then lucy is not kind or not generous and vice versa.
If someone is both not tall and curious then fred is old or humble.
If someone is both tall and not humble then... | Alice is not happy. | neutral | ((?[X]:((quiet(X)|~tall(X))))=>(?[X]:((tall(X)<~>brave(X)))))&
(((~tall(mary)|humble(mary)))=>((~wise(alice)|~kind(alice))))&
((?[X]:(calm(X)))<=>((~kind(lucy)|~generous(lucy))))&
((?[X]:((~tall(X)&curious(X))))=>((old(fred)|humble(fred))))&
((?[X]:((tall(X)&~humble(X))))=>(~generous(fred)))&
(((wise(paul)|generous(pau... | ~happy(alice) | [] | null | 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 happy. | 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)... | happy(alice) | [] | null | 0 |
Everyone who is both funny and not humble is not patient.
Everyone who is both old and not rich is not creative or not kind and vice versa.
Everyone who is either creative or not happy is humble.
Everyone who is not tall is not quiet.
Everyone who is not humble is both not rich and kind and vice versa.
Everyone who is ... | Lucy is wise. | contradiction | (![X]:((funny(X)&~humble(X))=>~patient(X)))&
(![X]:((old(X)&~rich(X))<=>(~creative(X)|~kind(X))))&
(![X]:((creative(X)<~>~happy(X))=>humble(X)))&
(![X]:(~tall(X)=>~quiet(X)))&
(![X]:(~humble(X)<=>(~rich(X)&kind(X))))&
(![X]:((~tall(X)|happy(X))=>(old(X)|~old(X))))&
(((calm(lucy)|~old(lucy)))<=>(~generous(fred)))&
((?[X... | wise(lucy) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2435750933655507068210564
% SZS output start Proof for 2435750933655507068210564
11. ! [X0] : (~tall(X0) <=> ~creative(X0)) [input p10]
12. ! [X0] : ((creative(X0) <~> ~wise(X0)) <=> ~tall(X0)) [input p11]
25. wise(lucy) [input hypothesis]
53. ! [X0] : ((~tall(X0) | creative(X0)) & (~crea... | 0 |
Everyone who is both funny and not wise is either not old or not humble. If fred is both calm and not kind then susan is not tall. Everyone who is not generous is brave and vice versa. Everyone who is both patient and creative is not curious. If someone is both not happy and funny then someone is both not wise and rich... | Mary is not wise. | neutral | (![X]:((funny(X)&~wise(X))=>(~old(X)<~>~humble(X))))&
(((calm(fred)&~kind(fred)))=>(~tall(susan)))&
(![X]:(~generous(X)<=>brave(X)))&
(![X]:((patient(X)&creative(X))=>~curious(X)))&
((?[X]:((~happy(X)&funny(X))))<=>(?[X]:((~wise(X)&rich(X)))))&
((?[X]:(funny(X)))=>(wise(mary)))&
(((brave(paul)|~strong(paul)))=>(?[X]:((... | ~wise(mary) | [] | null | 0 |
Everyone who is not brave is either not generous or strong and vice versa.
If someone is not calm then lucy is both not wise and not creative.
Everyone who is old or not kind is both not curious and not generous.
Everyone who is both kind and tall is either brave or old.
Everyone who is both not creative and not humble... | John is rich. | entailment | (![X]:(~brave(X)<=>(~generous(X)<~>strong(X))))&
((?[X]:(~calm(X)))=>((~wise(lucy)&~creative(lucy))))&
(![X]:((old(X)|~kind(X))=>(~curious(X)&~generous(X))))&
(![X]:((kind(X)&tall(X))=>(brave(X)<~>old(X))))&
(![X]:((~creative(X)&~humble(X))<=>(~strong(X)&~rich(X))))&
(![X]:((humble(X)<~>tall(X))<=>quiet(X)))&
(((patien... | rich(john) | [
"p5",
"p9",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6346494253703526625730864
% SZS output start Proof for 6346494253703526625730864
6. ! [X0] : ((humble(X0) <~> tall(X0)) <=> quiet(X0)) [input p5]
10. ! [X0] : ((~brave(X0) | brave(X0)) <=> ~brave(X0)) [input p9]
13. ! [X0] : ((quiet(X0) & ~rich(X0)) => (~brave(X0) <~> ~humble(X0))) [input... | 0 |
If someone is not creative then someone is humble and vice versa. If someone is kind then someone is either not happy or happy and vice versa. Everyone who is rich or calm is not calm and vice versa. If paul is either not wise or generous then paul is strong or not strong. If alice is both humble and curious then someo... | Paul is strong. | neutral | ((?[X]:(~creative(X)))<=>(?[X]:(humble(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~happy(X)<~>happy(X)))))&
(![X]:((rich(X)|calm(X))<=>~calm(X)))&
(((~wise(paul)<~>generous(paul)))=>((strong(paul)|~strong(paul))))&
(((humble(alice)&curious(alice)))<=>(?[X]:(~funny(X))))&
((?[X]:(old(X)))<=>((~brave(mary)<~>calm(mary))))&
(((~c... | strong(paul) | [] | null | 0 |
Everyone who is both generous and not creative is both happy and humble.
If susan is either not curious or old then john is either not kind or strong and vice versa.
Everyone who is both not funny and patient is not calm and vice versa.
Everyone who is either not quiet or not old is either not quiet or not strong and v... | Paul is not rich. | contradiction | (![X]:((generous(X)&~creative(X))=>(happy(X)&humble(X))))&
(((~curious(susan)<~>old(susan)))<=>((~kind(john)<~>strong(john))))&
(![X]:((~funny(X)&patient(X))<=>~calm(X)))&
(![X]:((~quiet(X)<~>~old(X))<=>(~quiet(X)<~>~strong(X))))&
(![X]:(happy(X)=>~tall(X)))&
(((curious(lucy)<~>strong(lucy)))=>(?[X]:((~strong(X)|tall(X... | ~rich(paul) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1624038899971260045330983
% SZS output start Proof for 1624038899971260045330983
9. ! [X0] : (strong(X0) => (~rich(X0) & rich(X0))) [input p8]
14. (~old(lucy) & old(lucy)) <=> ? [X0] : (~rich(X0) <~> strong(X0)) [input p13]
25. ~rich(paul) [input hypothesis]
33. ! [X0] : ((~rich(X0) & ric... | 0 |
If someone is both not funny and curious then someone is creative. If lucy is both not old and humble then susan is curious. Everyone who is not funny or funny is funny or not patient and vice versa. Everyone who is happy or not curious is tall and vice versa. Everyone who is both not wise and funny is not brave or str... | Mary is strong. | neutral | ((?[X]:((~funny(X)&curious(X))))=>(?[X]:(creative(X))))&
(((~old(lucy)&humble(lucy)))=>(curious(susan)))&
(![X]:((~funny(X)|funny(X))<=>(funny(X)|~patient(X))))&
(![X]:((happy(X)|~curious(X))<=>tall(X)))&
(![X]:((~wise(X)&funny(X))=>(~brave(X)|strong(X))))&
(![X]:((brave(X)|~humble(X))<=>~generous(X)))&
(![X]:((rich(X)... | strong(mary) | [] | null | 0 |
If someone is both not strong and not quiet then john is both humble and not calm and vice versa.
Everyone who is both not happy and not funny is either old or strong and vice versa.
If someone is generous then someone is either not calm or strong.
Everyone who is generous or not strong is curious or not rich.
Everyone... | Lucy is not wise. | neutral | ((?[X]:((~strong(X)&~quiet(X))))<=>((humble(john)&~calm(john))))&
(![X]:((~happy(X)&~funny(X))<=>(old(X)<~>strong(X))))&
((?[X]:(generous(X)))=>(?[X]:((~calm(X)<~>strong(X)))))&
(![X]:((generous(X)|~strong(X))=>(curious(X)|~rich(X))))&
(![X]:((rich(X)&~quiet(X))=>brave(X)))&
(![X]:((funny(X)&~tall(X))<=>(humble(X)<~>~r... | ~wise(lucy) | [] | null | 0 |
Everyone who is either not brave or patient is not patient.
If someone is either generous or not old then someone is not old or calm and vice versa.
If someone is generous or calm then fred is generous.
Everyone who is both wise and not happy is both happy and not brave and vice versa.
If someone is tall then someone i... | John is not kind. | neutral | (![X]:((~brave(X)<~>patient(X))=>~patient(X)))&
((?[X]:((generous(X)<~>~old(X))))<=>(?[X]:((~old(X)|calm(X)))))&
((?[X]:((generous(X)|calm(X))))=>(generous(fred)))&
(![X]:((wise(X)&~happy(X))<=>(happy(X)&~brave(X))))&
((?[X]:(tall(X)))=>(?[X]:(~generous(X))))&
(![X]:((~rich(X)&kind(X))<=>(~happy(X)<~>~strong(X))))&
(![... | ~kind(john) | [] | null | 0 |
Everyone who is both not brave and not funny is calm and vice versa.
If someone is both not patient and not humble then someone is not brave or curious and vice versa.
Everyone who is either not strong or brave is curious or funny.
If someone is not calm then fred is not wise or happy and vice versa.
Everyone who is bo... | Fred is wise. | neutral | (![X]:((~brave(X)&~funny(X))<=>calm(X)))&
((?[X]:((~patient(X)&~humble(X))))<=>(?[X]:((~brave(X)|curious(X)))))&
(![X]:((~strong(X)<~>brave(X))=>(curious(X)|funny(X))))&
((?[X]:(~calm(X)))<=>((~wise(fred)|happy(fred))))&
(![X]:((old(X)&curious(X))=>(~strong(X)|~funny(X))))&
(![X]:((wise(X)|~happy(X))<=>(~generous(X)&ol... | wise(fred) | [] | null | 0 |
Everyone who is quiet is kind and vice versa.
If susan is both old and kind then someone is both not strong and not creative and vice versa.
Everyone who is not quiet is not creative or not generous.
Everyone who is both curious and not patient is both brave and rich.
Everyone who is generous is either not old or quiet... | Paul is tall. | entailment | (![X]:(quiet(X)<=>kind(X)))&
(((old(susan)&kind(susan)))<=>(?[X]:((~strong(X)&~creative(X)))))&
(![X]:(~quiet(X)=>(~creative(X)|~generous(X))))&
(![X]:((curious(X)&~patient(X))=>(brave(X)&rich(X))))&
(![X]:(generous(X)=>(~old(X)<~>quiet(X))))&
(![X]:((humble(X)&~calm(X))<=>(happy(X)|kind(X))))&
((?[X]:((generous(X)&~wi... | tall(paul) | [
"p0",
"p2",
"p6",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7791016680143987099302508
% SZS output start Proof for 7791016680143987099302508
1. ! [X0] : (quiet(X0) <=> kind(X0)) [input p0]
3. ! [X0] : (~quiet(X0) => (~generous(X0) | ~creative(X0))) [input p2]
7. ? [X0] : (~wise(X0) & generous(X0)) <=> ? [X0] : ~tall(X0) [input p6]
9. ! [X0] : ((cr... | 0 |
Everyone who is either humble or not rich is both not humble and kind.
Everyone who is either funny or rich is not funny.
Everyone who is both curious and not curious is both patient and creative and vice versa.
Everyone who is not curious is not brave and vice versa.
If john is either strong or not funny then paul is ... | Mary is not quiet. | contradiction | (![X]:((humble(X)<~>~rich(X))=>(~humble(X)&kind(X))))&
(![X]:((funny(X)<~>rich(X))=>~funny(X)))&
(![X]:((curious(X)&~curious(X))<=>(patient(X)&creative(X))))&
(![X]:(~curious(X)<=>~brave(X)))&
(((strong(john)<~>~funny(john)))=>(brave(paul)))&
(((strong(alice)|funny(alice)))=>((tall(fred)<~>~strong(fred))))&
(![X]:((~fu... | ~quiet(mary) | [
"p3",
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4446127447723974680326611
% SZS output start Proof for 4446127447723974680326611
4. ! [X0] : (~curious(X0) <=> ~brave(X0)) [input p3]
7. ! [X0] : ((curious(X0) & ~funny(X0)) <=> (curious(X0) <~> ~brave(X0))) [input p6]
24. funny(mary) <~> quiet(mary) [input p23]
25. ~quiet(mary) [input hy... | 0 |
If someone is both creative and strong then alice is not old or wise and vice versa.
If someone is both kind and calm then lucy is not rich or not wise and vice versa.
If someone is both rich and not curious then someone is not funny or not generous and vice versa.
If alice is both not creative and not kind then someon... | Paul is happy. | contradiction | ((?[X]:((creative(X)&strong(X))))<=>((~old(alice)|wise(alice))))&
((?[X]:((kind(X)&calm(X))))<=>((~rich(lucy)|~wise(lucy))))&
((?[X]:((rich(X)&~curious(X))))<=>(?[X]:((~funny(X)|~generous(X)))))&
(((~creative(alice)&~kind(alice)))<=>(?[X]:(happy(X))))&
((?[X]:((~wise(X)|~curious(X))))=>(?[X]:((~creative(X)&kind(X)))))&... | happy(paul) | [
"p2",
"p5",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6017610380066206941229346
% SZS output start Proof for 6017610380066206941229346
3. ? [X0] : (~curious(X0) & rich(X0)) <=> ? [X0] : (~generous(X0) | ~funny(X0)) [input p2]
6. ? [X0] : (rich(X0) | ~curious(X0)) <=> humble(paul) [input p5]
10. ! [X0] : (generous(X0) => ~happy(X0)) [input p9... | 0 |
Everyone who is both humble and not tall is humble. If lucy is both not quiet and strong then alice is both not calm and wise and vice versa. If fred is either not patient or brave then mary is both happy and not rich. If john is not creative then paul is creative or old and vice versa. If susan is not patient then joh... | Fred is rich. | entailment | (![X]:((humble(X)&~tall(X))=>humble(X)))&
(((~quiet(lucy)&strong(lucy)))<=>((~calm(alice)&wise(alice))))&
(((~patient(fred)<~>brave(fred)))=>((happy(mary)&~rich(mary))))&
((~creative(john))<=>((creative(paul)|old(paul))))&
((~patient(susan))=>(~creative(john)))&
(![X]:((~rich(X)&strong(X))<=>~strong(X)))&
((?[X]:(~funn... | rich(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 569976007396368258220636
% SZS output start Proof for 569976007396368258220636
6. ! [X0] : ((strong(X0) & ~rich(X0)) <=> ~strong(X0)) [input p5]
21. ~rich(fred) [input hypothesis]
37. ! [X0] : (((strong(X0) & ~rich(X0)) | strong(X0)) & (~strong(X0) | (~strong(X0) | rich(X0)))) [nnf transf... | 0 |
Everyone who is quiet is not funny or patient and vice versa.
Everyone who is not quiet or not patient is either curious or not brave and vice versa.
If someone is not funny or not wise then someone is brave or not patient.
If alice is not patient or tall then someone is either not rich or calm.
If someone is not brave... | John is patient. | contradiction | (![X]:(quiet(X)<=>(~funny(X)|patient(X))))&
(![X]:((~quiet(X)|~patient(X))<=>(curious(X)<~>~brave(X))))&
((?[X]:((~funny(X)|~wise(X))))=>(?[X]:((brave(X)|~patient(X)))))&
(((~patient(alice)|tall(alice)))=>(?[X]:((~rich(X)<~>calm(X)))))&
((?[X]:(~brave(X)))=>(?[X]:((~generous(X)&~humble(X)))))&
(![X]:(~patient(X)<=>(~pa... | patient(john) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7794444221794049337370400
% SZS output start Proof for 7794444221794049337370400
1. ! [X0] : (quiet(X0) <=> (patient(X0) | ~funny(X0))) [input p0]
12. ! [X0] : ((patient(X0) | ~patient(X0)) <=> ~quiet(X0)) [input p11]
24. patient(john) [input hypothesis]
37. ! [X0] : ((quiet(X0) | (~patie... | 0 |
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