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 not funny or wise then lucy is either not old or not brave.
Everyone who is both curious and humble is not brave or happy and vice versa.
If someone is both quiet and strong then susan is not curious or not rich.
Everyone who is not kind is both calm and not wise and vice versa.
Everyone who is both not b... | Lucy is happy. | entailment | ((?[X]:((~funny(X)|wise(X))))=>((~old(lucy)<~>~brave(lucy))))&
(![X]:((curious(X)&humble(X))<=>(~brave(X)|happy(X))))&
((?[X]:((quiet(X)&strong(X))))=>((~curious(susan)|~rich(susan))))&
(![X]:(~kind(X)<=>(calm(X)&~wise(X))))&
(![X]:((~brave(X)&~generous(X))<=>(~happy(X)|quiet(X))))&
(![X]:((~humble(X)&quiet(X))=>(rich(... | happy(lucy) | [
"p0",
"p3",
"p4",
"p6",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7250181354338957582768718
% SZS output start Proof for 7250181354338957582768718
1. ? [X0] : (wise(X0) | ~funny(X0)) => (~old(lucy) <~> ~brave(lucy)) [input p0]
4. ! [X0] : (~kind(X0) <=> (~wise(X0) & calm(X0))) [input p3]
5. ! [X0] : ((~generous(X0) & ~brave(X0)) <=> (quiet(X0) | ~happy(... | 0 |
Everyone who is both not generous and strong is not rich or not curious. Everyone who is both brave and strong is both patient and brave and vice versa. Everyone who is not brave is not humble. If john is either humble or quiet then alice is both creative and not old and vice versa. Everyone who is either brave or not ... | Lucy is creative. | neutral | (![X]:((~generous(X)&strong(X))=>(~rich(X)|~curious(X))))&
(![X]:((brave(X)&strong(X))<=>(patient(X)&brave(X))))&
(![X]:(~brave(X)=>~humble(X)))&
(((humble(john)<~>quiet(john)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:(... | creative(lucy) | [] | null | 0 |
If someone is not quiet then alice is either not wise or wise and vice versa.
Everyone who is curious or patient is both humble and not rich.
Everyone who is both not calm and humble is not curious or tall and vice versa.
Everyone who is not old or not curious is strong and vice versa.
If someone is either not curious ... | Alice is not rich. | neutral | ((?[X]:(~quiet(X)))<=>((~wise(alice)<~>wise(alice))))&
(![X]:((curious(X)|patient(X))=>(humble(X)&~rich(X))))&
(![X]:((~calm(X)&humble(X))<=>(~curious(X)|tall(X))))&
(![X]:((~old(X)|~curious(X))<=>strong(X)))&
((?[X]:((~curious(X)<~>~creative(X))))<=>(?[X]:((tall(X)&creative(X)))))&
(![X]:((~strong(X)&funny(X))<=>(~old... | ~rich(alice) | [] | null | 0 |
If someone is either not old or not generous then lucy is both old and not old and vice versa.
Everyone who is not wise is calm and vice versa.
If alice is both not old and patient then fred is both not strong and curious and vice versa.
Everyone who is either patient or creative is creative or patient and vice versa.
... | Fred is strong. | neutral | ((?[X]:((~old(X)<~>~generous(X))))<=>((old(lucy)&~old(lucy))))&
(![X]:(~wise(X)<=>calm(X)))&
(((~old(alice)&patient(alice)))<=>((~strong(fred)&curious(fred))))&
(![X]:((patient(X)<~>creative(X))<=>(creative(X)|patient(X))))&
(![X]:((~patient(X)|kind(X))=>humble(X)))&
(![X]:(~patient(X)<=>humble(X)))&
(![X]:(~curious(X)... | strong(fred) | [] | null | 0 |
Everyone who is tall is not creative or not strong and vice versa. Everyone who is either not funny or curious is both not old and not wise. If susan is both humble and rich then john is either not old or humble and vice versa. Everyone who is brave or happy is generous. If paul is not rich then someone is brave or ric... | Alice is strong. | entailment | (![X]:(tall(X)<=>(~creative(X)|~strong(X))))&
(![X]:((~funny(X)<~>curious(X))=>(~old(X)&~wise(X))))&
(((humble(susan)&rich(susan)))<=>((~old(john)<~>humble(john))))&
(![X]:((brave(X)|happy(X))=>generous(X)))&
((~rich(paul))<=>(?[X]:((brave(X)|rich(X)))))&
(![X]:((~generous(X)&patient(X))<=>(~tall(X)<~>patient(X))))&
(!... | strong(alice) | [
"p0",
"p1",
"p3",
"p6",
"p7",
"p11",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6425168404077029765876509
% SZS output start Proof for 6425168404077029765876509
1. ! [X0] : (tall(X0) <=> (~strong(X0) | ~creative(X0))) [input p0]
2. ! [X0] : ((~funny(X0) <~> curious(X0)) => (~wise(X0) & ~old(X0))) [input p1]
4. ! [X0] : ((happy(X0) | brave(X0)) => generous(X0)) [input... | 0 |
Everyone who is both not tall and funny is both not humble and not brave.
Everyone who is either creative or not brave is both not creative and brave and vice versa.
Everyone who is not tall or creative is tall or not kind.
If someone is humble or patient then someone is either not tall or not curious and vice versa.
E... | John is happy. | entailment | (![X]:((~tall(X)&funny(X))=>(~humble(X)&~brave(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(~creative(X)&brave(X))))&
(![X]:((~tall(X)|creative(X))=>(tall(X)|~kind(X))))&
((?[X]:((humble(X)|patient(X))))<=>(?[X]:((~tall(X)<~>~curious(X)))))&
(![X]:((curious(X)&~calm(X))<=>(~humble(X)|~happy(X))))&
(((~humble(fred)<~>rich... | happy(john) | [
"p4",
"p10",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2044563809882720161317744
% SZS output start Proof for 2044563809882720161317744
5. ! [X0] : ((~calm(X0) & curious(X0)) <=> (~happy(X0) | ~humble(X0))) [input p4]
11. ! [X0] : (~rich(X0) => wise(X0)) [input p10]
12. ! [X0] : (wise(X0) => (calm(X0) | ~curious(X0))) [input p11]
13. ! [X0] :... | 0 |
If someone is either tall or not brave then someone is both creative and not humble and vice versa.
Everyone who is both quiet and wise is both not calm and not quiet.
Everyone who is either rich or old is not tall or old.
Everyone who is not happy is strong and vice versa.
Everyone who is not brave or not calm is both... | Mary is not quiet. | neutral | ((?[X]:((tall(X)<~>~brave(X))))<=>(?[X]:((creative(X)&~humble(X)))))&
(![X]:((quiet(X)&wise(X))=>(~calm(X)&~quiet(X))))&
(![X]:((rich(X)<~>old(X))=>(~tall(X)|old(X))))&
(![X]:(~happy(X)<=>strong(X)))&
(![X]:((~brave(X)|~calm(X))<=>(~kind(X)&~patient(X))))&
(![X]:((strong(X)|happy(X))<=>~strong(X)))&
(((old(paul)|kind(p... | ~quiet(mary) | [] | null | 0 |
Everyone who is either not creative or funny is rich and vice versa.
If fred is either not funny or not old then lucy is tall or not rich.
If lucy is either old or brave then paul is not funny or not old.
If someone is not patient then paul is not kind or strong.
Everyone who is not generous or not old is not rich or w... | Paul is not kind. | neutral | (![X]:((~creative(X)<~>funny(X))<=>rich(X)))&
(((~funny(fred)<~>~old(fred)))=>((tall(lucy)|~rich(lucy))))&
(((old(lucy)<~>brave(lucy)))=>((~funny(paul)|~old(paul))))&
((?[X]:(~patient(X)))=>((~kind(paul)|strong(paul))))&
(![X]:((~generous(X)|~old(X))<=>(~rich(X)|wise(X))))&
(![X]:((funny(X)<~>~old(X))=>(~rich(X)&calm(X... | ~kind(paul) | [] | null | 0 |
Everyone who is either happy or not tall is both not calm and not kind.
Everyone who is not happy is calm and vice versa.
If someone is either calm or not calm then paul is either not old or not strong.
Everyone who is not generous is either rich or curious.
Everyone who is either not curious or wise is generous or not... | John is tall. | neutral | (![X]:((happy(X)<~>~tall(X))=>(~calm(X)&~kind(X))))&
(![X]:(~happy(X)<=>calm(X)))&
((?[X]:((calm(X)<~>~calm(X))))=>((~old(paul)<~>~strong(paul))))&
(![X]:(~generous(X)=>(rich(X)<~>curious(X))))&
(![X]:((~curious(X)<~>wise(X))<=>(generous(X)|~calm(X))))&
(((~kind(lucy)|~generous(lucy)))<=>(?[X]:((humble(X)<~>tall(X)))))... | tall(john) | [] | null | 0 |
If someone is both not funny and not quiet then someone is either not happy or not strong and vice versa. If someone is not strong or not generous then lucy is not calm or not quiet. Everyone who is both not brave and not tall is humble or old. Everyone who is either calm or not patient is not kind or curious and vice ... | Paul is not old. | entailment | ((?[X]:((~funny(X)&~quiet(X))))<=>(?[X]:((~happy(X)<~>~strong(X)))))&
((?[X]:((~strong(X)|~generous(X))))=>((~calm(lucy)|~quiet(lucy))))&
(![X]:((~brave(X)&~tall(X))=>(humble(X)|old(X))))&
(![X]:((calm(X)<~>~patient(X))<=>(~kind(X)|curious(X))))&
(((generous(alice)&~funny(alice)))<=>(?[X]:((patient(X)<~>~patient(X)))))... | ~old(paul) | [
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7764435097697183181844641
% SZS output start Proof for 7764435097697183181844641
12. ? [X0] : (curious(X0) | funny(X0)) <=> (~old(paul) & ~humble(paul)) [input p11]
22. humble(susan) & curious(susan) [input p21]
25. old(paul) [input hypothesis]
67. (? [X0] : (curious(X0) | funny(X0)) | (o... | 0 |
Everyone who is kind or rich is tall or not calm and vice versa. Everyone who is curious or brave is not patient and vice versa. Everyone who is not brave or patient is either not rich or not creative. Everyone who is either brave or calm is curious. Everyone who is both strong and rich is quiet or generous. If lucy is... | Susan is not kind. | neutral | (![X]:((kind(X)|rich(X))<=>(tall(X)|~calm(X))))&
(![X]:((curious(X)|brave(X))<=>~patient(X)))&
(![X]:((~brave(X)|patient(X))=>(~rich(X)<~>~creative(X))))&
(![X]:((brave(X)<~>calm(X))=>curious(X)))&
(![X]:((strong(X)&rich(X))=>(quiet(X)|generous(X))))&
(((~creative(lucy)|tall(lucy)))<=>((happy(susan)<~>kind(susan))))&
(... | ~kind(susan) | [] | null | 0 |
Everyone who is old is both wise and not funny and vice versa.
Everyone who is either not humble or not generous is kind or not humble.
If lucy is not wise then someone is both patient and not patient.
If someone is both strong and not strong then someone is both not brave and kind.
Everyone who is either not humble or... | Alice is not tall. | neutral | (![X]:(old(X)<=>(wise(X)&~funny(X))))&
(![X]:((~humble(X)<~>~generous(X))=>(kind(X)|~humble(X))))&
((~wise(lucy))=>(?[X]:((patient(X)&~patient(X)))))&
((?[X]:((strong(X)&~strong(X))))=>(?[X]:((~brave(X)&kind(X)))))&
(![X]:((~humble(X)<~>~patient(X))=>(patient(X)&~creative(X))))&
(![X]:((calm(X)<~>~calm(X))=>~strong(X))... | ~tall(alice) | [] | null | 0 |
Everyone who is both curious and calm is either calm or not happy and vice versa.
Everyone who is kind or not strong is either not curious or old.
If lucy is both not patient and not happy then someone is both not strong and not brave and vice versa.
If paul is either strong or calm then fred is either not old or tall ... | Lucy is not funny. | contradiction | (![X]:((curious(X)&calm(X))<=>(calm(X)<~>~happy(X))))&
(![X]:((kind(X)|~strong(X))=>(~curious(X)<~>old(X))))&
(((~patient(lucy)&~happy(lucy)))<=>(?[X]:((~strong(X)&~brave(X)))))&
(((strong(paul)<~>calm(paul)))<=>((~old(fred)<~>tall(fred))))&
(![X]:(quiet(X)<=>(~brave(X)|curious(X))))&
(![X]:((~funny(X)|creative(X))<=>(... | ~funny(lucy) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4006560368344243003914580
% SZS output start Proof for 4006560368344243003914580
6. ! [X0] : ((creative(X0) | ~funny(X0)) <=> (~curious(X0) & ~old(X0))) [input p5]
16. ! [X0] : ((curious(X0) & tall(X0)) <=> (~curious(X0) | ~funny(X0))) [input p15]
22. ~funny(lucy) [input hypothesis]
46. !... | 0 |
Everyone who is either strong or not patient is both humble and not wise.
Everyone who is creative or not funny is either old or not strong.
If someone is not rich or not curious then fred is either happy or creative.
Everyone who is not calm is either not old or tall and vice versa.
Everyone who is not rich or not hum... | Fred is not calm. | contradiction | (![X]:((strong(X)<~>~patient(X))=>(humble(X)&~wise(X))))&
(![X]:((creative(X)|~funny(X))=>(old(X)<~>~strong(X))))&
((?[X]:((~rich(X)|~curious(X))))=>((happy(fred)<~>creative(fred))))&
(![X]:(~calm(X)<=>(~old(X)<~>tall(X))))&
(![X]:((~rich(X)|~humble(X))<=>(~rich(X)<~>~curious(X))))&
(((~tall(susan)&~wise(susan)))<=>((~... | ~calm(fred) | [
"p2",
"p4",
"p6",
"p7",
"p8",
"p14",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 601313277483009330209758
% SZS output start Proof for 601313277483009330209758
3. ? [X0] : (~curious(X0) | ~rich(X0)) => (happy(fred) <~> creative(fred)) [input p2]
5. ! [X0] : ((~humble(X0) | ~rich(X0)) <=> (~rich(X0) <~> ~curious(X0))) [input p4]
7. ! [X0] : ((~happy(X0) & ~calm(X0)) <=... | 0 |
Everyone who is both not creative and funny is either kind or not quiet and vice versa. Everyone who is both not patient and patient is creative or funny and vice versa. Everyone who is wise or patient is both humble and not strong. If paul is not rich then someone is both not rich and kind. If someone is both not quie... | Fred is not curious. | contradiction | (![X]:((~creative(X)&funny(X))<=>(kind(X)<~>~quiet(X))))&
(![X]:((~patient(X)&patient(X))<=>(creative(X)|funny(X))))&
(![X]:((wise(X)|patient(X))=>(humble(X)&~strong(X))))&
((~rich(paul))=>(?[X]:((~rich(X)&kind(X)))))&
((?[X]:((~quiet(X)&strong(X))))=>((tall(lucy)|kind(lucy))))&
(![X]:(kind(X)=>(~strong(X)<~>~rich(X)))... | ~curious(fred) | [
"p2",
"p7",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 642805985561231199737526
% SZS output start Proof for 642805985561231199737526
3. ! [X0] : ((patient(X0) | wise(X0)) => (~strong(X0) & humble(X0))) [input p2]
8. ! [X0] : (rich(X0) <=> curious(X0)) [input p7]
10. (~calm(john) & ~rich(john)) <=> ? [X0] : (generous(X0) | wise(X0)) [input p9... | 0 |
If fred is both brave and wise then someone is tall.
If someone is both not funny and not patient then mary is either not brave or tall and vice versa.
If john is not wise or kind then someone is not wise and vice versa.
Everyone who is not generous is both not calm and not quiet and vice versa.
If someone is not happy... | John is kind. | entailment | (((brave(fred)&wise(fred)))=>(?[X]:(tall(X))))&
((?[X]:((~funny(X)&~patient(X))))<=>((~brave(mary)<~>tall(mary))))&
(((~wise(john)|kind(john)))<=>(?[X]:(~wise(X))))&
(![X]:(~generous(X)<=>(~calm(X)&~quiet(X))))&
((?[X]:((~happy(X)|patient(X))))<=>(?[X]:((~brave(X)|quiet(X)))))&
(((brave(paul)&generous(paul)))=>(?[X]:((... | kind(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2803505137049780729317161
% SZS output start Proof for 2803505137049780729317161
8. ! [X0] : (~kind(X0) => (~quiet(X0) & quiet(X0))) [input p7]
25. ~kind(john) [input hypothesis]
33. ! [X0] : ((~quiet(X0) & quiet(X0)) | kind(X0)) [ennf transformation 8]
103. quiet(X0) | kind(X0) [cnf tran... | 0 |
If someone is quiet or creative then mary is not creative or not generous and vice versa.
Everyone who is either not strong or creative is wise.
Everyone who is not calm is both not funny and calm and vice versa.
If alice is wise or patient then someone is wise or not quiet.
If someone is not quiet then mary is both no... | Mary is not funny. | contradiction | ((?[X]:((quiet(X)|creative(X))))<=>((~creative(mary)|~generous(mary))))&
(![X]:((~strong(X)<~>creative(X))=>wise(X)))&
(![X]:(~calm(X)<=>(~funny(X)&calm(X))))&
(((wise(alice)|patient(alice)))=>(?[X]:((wise(X)|~quiet(X)))))&
((?[X]:(~quiet(X)))=>((~wise(mary)&kind(mary))))&
((?[X]:((happy(X)<~>~rich(X))))<=>(?[X]:((old(... | ~funny(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2779228364892980965675965
% SZS output start Proof for 2779228364892980965675965
3. ! [X0] : (~calm(X0) <=> (calm(X0) & ~funny(X0))) [input p2]
23. ~funny(mary) [input hypothesis]
43. ! [X0] : ((~calm(X0) | (~calm(X0) | funny(X0))) & ((calm(X0) & ~funny(X0)) | calm(X0))) [nnf transformati... | 0 |
If someone is rich or not happy then mary is rich or old and vice versa.
Everyone who is both not happy and curious is both happy and not strong and vice versa.
If someone is both not quiet and humble then susan is not wise and vice versa.
Everyone who is both not quiet and rich is not creative.
If someone is either wi... | Lucy is wise. | neutral | ((?[X]:((rich(X)|~happy(X))))<=>((rich(mary)|old(mary))))&
(![X]:((~happy(X)&curious(X))<=>(happy(X)&~strong(X))))&
((?[X]:((~quiet(X)&humble(X))))<=>(~wise(susan)))&
(![X]:((~quiet(X)&rich(X))=>~creative(X)))&
((?[X]:((wise(X)<~>calm(X))))=>((~calm(lucy)<~>generous(lucy))))&
((?[X]:((old(X)|~patient(X))))=>(?[X]:(~cre... | wise(lucy) | [] | null | 0 |
Everyone who is brave or happy is both quiet and not quiet and vice versa.
If mary is either creative or happy then paul is funny or not humble.
If someone is not curious then someone is both not curious and not calm and vice versa.
If someone is not generous or funny then john is not curious.
If alice is either creati... | Mary is not humble. | contradiction | (![X]:((brave(X)|happy(X))<=>(quiet(X)&~quiet(X))))&
(((creative(mary)<~>happy(mary)))=>((funny(paul)|~humble(paul))))&
((?[X]:(~curious(X)))<=>(?[X]:((~curious(X)&~calm(X)))))&
((?[X]:((~generous(X)|funny(X))))=>(~curious(john)))&
(((creative(alice)<~>wise(alice)))=>(?[X]:((old(X)<~>creative(X)))))&
((?[X]:((~curious(... | ~humble(mary) | [
"p0",
"p11",
"p12",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4764624283641090795468698
% SZS output start Proof for 4764624283641090795468698
1. ! [X0] : ((happy(X0) | brave(X0)) <=> (~quiet(X0) & quiet(X0))) [input p0]
12. ! [X0] : ((~rich(X0) & ~patient(X0)) <=> ~humble(X0)) [input p11]
13. ? [X0] : (patient(X0) & humble(X0)) => (~happy(mary) <~>... | 0 |
If someone is wise or funny then someone is not old and vice versa.
If someone is rich then someone is funny or not rich.
Everyone who is rich or calm is either patient or not kind.
Everyone who is not kind is wise.
Everyone who is not generous is both not rich and humble.
If someone is not rich or generous then someon... | Paul is not rich. | entailment | ((?[X]:((wise(X)|funny(X))))<=>(?[X]:(~old(X))))&
((?[X]:(rich(X)))=>(?[X]:((funny(X)|~rich(X)))))&
(![X]:((rich(X)|calm(X))=>(patient(X)<~>~kind(X))))&
(![X]:(~kind(X)=>wise(X)))&
(![X]:(~generous(X)=>(~rich(X)&humble(X))))&
((?[X]:((~rich(X)|generous(X))))=>(?[X]:((patient(X)&~creative(X)))))&
(![X]:(~calm(X)<=>(~cal... | ~rich(paul) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3449581160365280445126498
% SZS output start Proof for 3449581160365280445126498
5. ! [X0] : (~generous(X0) => (humble(X0) & ~rich(X0))) [input p4]
8. ! [X0] : ((generous(X0) | humble(X0)) <=> ~generous(X0)) [input p7]
24. rich(paul) [input hypothesis]
33. ! [X0] : ((humble(X0) & ~rich(X0... | 0 |
If someone is both tall and funny then someone is both funny and humble.
If someone is not calm then lucy is either not happy or not generous.
Everyone who is rich is both patient and old.
Everyone who is humble or strong is both not calm and wise and vice versa.
If someone is both not calm and generous then susan is n... | Lucy is rich. | contradiction | ((?[X]:((tall(X)&funny(X))))=>(?[X]:((funny(X)&humble(X)))))&
((?[X]:(~calm(X)))=>((~happy(lucy)<~>~generous(lucy))))&
(![X]:(rich(X)=>(patient(X)&old(X))))&
(![X]:((humble(X)|strong(X))<=>(~calm(X)&wise(X))))&
((?[X]:((~calm(X)&generous(X))))=>((~happy(susan)|~patient(susan))))&
(![X]:((curious(X)<~>generous(X))<=>gen... | rich(lucy) | [
"p2",
"p7",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1283620166677978146781596
% SZS output start Proof for 1283620166677978146781596
3. ! [X0] : (rich(X0) => (old(X0) & patient(X0))) [input p2]
8. ! [X0] : (~quiet(X0) <=> (~calm(X0) <~> funny(X0))) [input p7]
11. ? [X0] : (creative(X0) & ~creative(X0)) <=> ? [X0] : (patient(X0) & quiet(X0)... | 0 |
If someone is either not humble or generous then john is not creative and vice versa.
Everyone who is generous or not quiet is either not strong or not funny.
If someone is both not creative and wise then john is quiet and vice versa.
Everyone who is not rich is not calm or not wise.
Everyone who is both generous and n... | Alice is not rich. | contradiction | ((?[X]:((~humble(X)<~>generous(X))))<=>(~creative(john)))&
(![X]:((generous(X)|~quiet(X))=>(~strong(X)<~>~funny(X))))&
((?[X]:((~creative(X)&wise(X))))<=>(quiet(john)))&
(![X]:(~rich(X)=>(~calm(X)|~wise(X))))&
(![X]:((generous(X)&~patient(X))<=>patient(X)))&
((?[X]:((~strong(X)|~brave(X))))<=>((~patient(john)&creative(... | ~rich(alice) | [
"p3",
"p4",
"p7",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6166609069430060160490677
% SZS output start Proof for 6166609069430060160490677
4. ! [X0] : (~rich(X0) => (~wise(X0) | ~calm(X0))) [input p3]
5. ! [X0] : ((~patient(X0) & generous(X0)) <=> patient(X0)) [input p4]
8. ! [X0] : ((funny(X0) <~> ~creative(X0)) <=> (calm(X0) <~> wise(X0))) [in... | 0 |
Everyone who is humble or funny is not calm and vice versa. If mary is either calm or not funny then john is both curious and kind. If susan is both old and humble then fred is either patient or happy. Everyone who is both rich and not old is either wise or calm and vice versa. Everyone who is humble is not happy and v... | Mary is brave. | entailment | (![X]:((humble(X)|funny(X))<=>~calm(X)))&
(((calm(mary)<~>~funny(mary)))=>((curious(john)&kind(john))))&
(((old(susan)&humble(susan)))=>((patient(fred)<~>happy(fred))))&
(![X]:((rich(X)&~old(X))<=>(wise(X)<~>calm(X))))&
(![X]:(humble(X)<=>~happy(X)))&
((?[X]:(funny(X)))=>(?[X]:((~kind(X)|~old(X)))))&
((?[X]:((~brave(X)... | brave(mary) | [
"p0",
"p3",
"p4",
"p6",
"p11",
"p12",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7638100264218057472956412
% SZS output start Proof for 7638100264218057472956412
1. ! [X0] : ((funny(X0) | humble(X0)) <=> ~calm(X0)) [input p0]
4. ! [X0] : ((~old(X0) & rich(X0)) <=> (wise(X0) <~> calm(X0))) [input p3]
5. ! [X0] : (humble(X0) <=> ~happy(X0)) [input p4]
7. ? [X0] : (funny... | 0 |
If susan is not happy or not wise then lucy is both tall and not tall. If susan is calm then someone is tall and vice versa. Everyone who is either not generous or not happy is rich and vice versa. If someone is both generous and creative then someone is brave or not calm. Everyone who is rich is tall. If someone is no... | John is not strong. | neutral | (((~happy(susan)|~wise(susan)))=>((tall(lucy)&~tall(lucy))))&
((calm(susan))<=>(?[X]:(tall(X))))&
(![X]:((~generous(X)<~>~happy(X))<=>rich(X)))&
((?[X]:((generous(X)&creative(X))))=>(?[X]:((brave(X)|~calm(X)))))&
(![X]:(rich(X)=>tall(X)))&
((?[X]:((~wise(X)|~calm(X))))<=>(?[X]:((rich(X)<~>wise(X)))))&
((~tall(susan))=>... | ~strong(john) | [] | null | 0 |
Everyone who is not tall or not calm is humble or not humble and vice versa. If someone is either happy or not happy then someone is not generous. Everyone who is not creative or not quiet is both humble and not brave. Everyone who is both wise and not rich is generous. Everyone who is patient or not quiet is not kind ... | Mary is not humble. | contradiction | (![X]:((~tall(X)|~calm(X))<=>(humble(X)|~humble(X))))&
((?[X]:((happy(X)<~>~happy(X))))=>(?[X]:(~generous(X))))&
(![X]:((~creative(X)|~quiet(X))=>(humble(X)&~brave(X))))&
(![X]:((wise(X)&~rich(X))=>generous(X)))&
(![X]:((patient(X)|~quiet(X))=>(~kind(X)|~curious(X))))&
(![X]:((~funny(X)|~humble(X))=>(~patient(X)&humble... | ~humble(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5755734363980771423859824
% SZS output start Proof for 5755734363980771423859824
6. ! [X0] : ((~humble(X0) | ~funny(X0)) => (humble(X0) & ~patient(X0))) [input p5]
25. ~humble(mary) [input hypothesis]
34. ! [X0] : ((humble(X0) & ~patient(X0)) | (humble(X0) & funny(X0))) [ennf transformati... | 0 |
If mary is calm then someone is rich and vice versa.
If paul is funny or not tall then susan is either not brave or not quiet.
If someone is both not funny and patient then someone is wise.
Everyone who is both not humble and not happy is both not wise and not quiet.
Everyone who is both rich and not strong is not tall... | Paul is tall. | entailment | ((calm(mary))<=>(?[X]:(rich(X))))&
(((funny(paul)|~tall(paul)))=>((~brave(susan)<~>~quiet(susan))))&
((?[X]:((~funny(X)&patient(X))))=>(?[X]:(wise(X))))&
(![X]:((~humble(X)&~happy(X))=>(~wise(X)&~quiet(X))))&
(![X]:((rich(X)&~strong(X))<=>(~tall(X)|rich(X))))&
(((~calm(paul)|~rich(paul)))=>(?[X]:((~wise(X)<~>brave(X)))... | tall(paul) | [
"p4",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5986157009297372588241900
% SZS output start Proof for 5986157009297372588241900
5. ! [X0] : ((~strong(X0) & rich(X0)) <=> (rich(X0) | ~tall(X0))) [input p4]
21. tall(paul) | ~rich(paul) [input p20]
25. ~tall(paul) [input hypothesis]
53. ! [X0] : (((~strong(X0) & rich(X0)) | (~rich(X0) & ... | 0 |
Everyone who is not generous is happy or generous and vice versa. If someone is either not wise or not generous then someone is either not strong or not quiet. Everyone who is humble or tall is tall or funny and vice versa. Everyone who is either not brave or rich is not rich or patient and vice versa. Everyone who is ... | Fred is strong. | entailment | (![X]:(~generous(X)<=>(happy(X)|generous(X))))&
((?[X]:((~wise(X)<~>~generous(X))))=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:((humble(X)|tall(X))<=>(tall(X)|funny(X))))&
(![X]:((~brave(X)<~>rich(X))<=>(~rich(X)|patient(X))))&
(![X]:((wise(X)|~patient(X))=>(curious(X)&humble(X))))&
(![X]:((generous(X)|~quiet(X))=>(~pa... | strong(fred) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6419493819250125166396044
% SZS output start Proof for 6419493819250125166396044
1. ! [X0] : (~generous(X0) <=> (generous(X0) | happy(X0))) [input p0]
11. ! [X0] : ((~humble(X0) & generous(X0)) <=> ~strong(X0)) [input p10]
22. ~strong(fred) [input hypothesis]
30. ! [X0] : ((~generous(X0) ... | 0 |
Everyone who is not quiet is kind and vice versa.
If paul is not strong or funny then susan is not rich or not tall and vice versa.
If someone is both not happy and generous then susan is not calm or patient and vice versa.
Everyone who is rich or creative is both not strong and not wise.
Everyone who is not happy is b... | Susan is not strong. | entailment | (![X]:(~quiet(X)<=>kind(X)))&
(((~strong(paul)|funny(paul)))<=>((~rich(susan)|~tall(susan))))&
((?[X]:((~happy(X)&generous(X))))<=>((~calm(susan)|patient(susan))))&
(![X]:((rich(X)|creative(X))=>(~strong(X)&~wise(X))))&
(![X]:(~happy(X)<=>(~generous(X)&~brave(X))))&
(![X]:((~kind(X)<~>~tall(X))=>(creative(X)|~patient(X... | ~strong(susan) | [
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5506008038885651939292511
% SZS output start Proof for 5506008038885651939292511
4. ! [X0] : ((creative(X0) | rich(X0)) => (~wise(X0) & ~strong(X0))) [input p3]
13. ! [X0] : ((happy(X0) | ~creative(X0)) <=> (~rich(X0) & ~strong(X0))) [input p12]
25. strong(susan) [input hypothesis]
27. ! ... | 0 |
If fred is tall or not calm then someone is not calm or humble. Everyone who is either not brave or not kind is either old or not kind and vice versa. If someone is not strong or wise then alice is brave or old and vice versa. If alice is not happy then someone is not patient. Everyone who is funny is both not humble a... | Susan is funny. | entailment | (((tall(fred)|~calm(fred)))=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:((~brave(X)<~>~kind(X))<=>(old(X)<~>~kind(X))))&
((?[X]:((~strong(X)|wise(X))))<=>((brave(alice)|old(alice))))&
((~happy(alice))=>(?[X]:(~patient(X))))&
(![X]:(funny(X)=>(~humble(X)&happy(X))))&
(![X]:((~brave(X)<~>old(X))=>(curious(X)&brave(X))))&
(((~... | funny(susan) | [
"p1",
"p7",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 769115768739440475111248
% SZS output start Proof for 769115768739440475111248
2. ! [X0] : ((~brave(X0) <~> ~kind(X0)) <=> (old(X0) <~> ~kind(X0))) [input p1]
8. ! [X0] : ((~wise(X0) <~> rich(X0)) <=> (~funny(X0) & ~wise(X0))) [input p7]
14. ! [X0] : ((~brave(X0) <~> ~strong(X0)) <=> ~old... | 0 |
Everyone who is either not calm or patient is not calm or brave and vice versa. If someone is either not generous or not calm then someone is both curious and patient. If mary is both kind and wise then susan is not funny. If john is either wise or rich then john is both not wise and calm and vice versa. Everyone who i... | Paul is not old. | entailment | (![X]:((~calm(X)<~>patient(X))<=>(~calm(X)|brave(X))))&
((?[X]:((~generous(X)<~>~calm(X))))=>(?[X]:((curious(X)&patient(X)))))&
(((kind(mary)&wise(mary)))=>(~funny(susan)))&
(((wise(john)<~>rich(john)))<=>((~wise(john)&calm(john))))&
(![X]:(humble(X)=>(~curious(X)<~>~quiet(X))))&
((?[X]:((~kind(X)&quiet(X))))=>((happy(... | ~old(paul) | [
"p6",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3492658351782452774666977
% SZS output start Proof for 3492658351782452774666977
7. ? [X0] : (quiet(X0) | tall(X0)) => (~rich(paul) & ~brave(paul)) [input p6]
9. ! [X0] : ((brave(X0) & ~calm(X0)) <=> (~curious(X0) | ~happy(X0))) [input p8]
14. ! [X0] : (curious(X0) <=> ~old(X0)) [input p1... | 0 |
If someone is tall or curious then susan is not kind and vice versa. Everyone who is wise is funny. If someone is both humble and curious then alice is either happy or not happy. If fred is not generous then someone is not humble or not strong and vice versa. If susan is not strong then john is kind. If lucy is creativ... | Susan is not funny. | contradiction | ((?[X]:((tall(X)|curious(X))))<=>(~kind(susan)))&
(![X]:(wise(X)=>funny(X)))&
((?[X]:((humble(X)&curious(X))))=>((happy(alice)<~>~happy(alice))))&
((~generous(fred))<=>(?[X]:((~humble(X)|~strong(X)))))&
((~strong(susan))=>(kind(john)))&
((creative(lucy))=>(?[X]:((happy(X)&funny(X)))))&
(![X]:((quiet(X)&humble(X))<=>(~o... | ~funny(susan) | [
"p1",
"p6",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 879025937771487038679827
% SZS output start Proof for 879025937771487038679827
2. ! [X0] : (wise(X0) => funny(X0)) [input p1]
7. ! [X0] : ((humble(X0) & quiet(X0)) <=> (~funny(X0) & ~old(X0))) [input p6]
8. ! [X0] : (old(X0) <=> (~tall(X0) & humble(X0))) [input p7]
13. ! [X0] : ((~wise(X0... | 0 |
If someone is not calm or not happy then someone is both not funny and creative.
If lucy is humble then susan is happy and vice versa.
Everyone who is not rich or humble is either creative or not rich.
If someone is either strong or not calm then someone is either rich or humble and vice versa.
If alice is quiet then a... | Mary is not patient. | contradiction | ((?[X]:((~calm(X)|~happy(X))))=>(?[X]:((~funny(X)&creative(X)))))&
((humble(lucy))<=>(happy(susan)))&
(![X]:((~rich(X)|humble(X))=>(creative(X)<~>~rich(X))))&
((?[X]:((strong(X)<~>~calm(X))))<=>(?[X]:((rich(X)<~>humble(X)))))&
((quiet(alice))<=>((creative(alice)|quiet(alice))))&
(![X]:((~curious(X)<~>curious(X))=>(happ... | ~patient(mary) | [
"p5",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 117930232135952742150520
% SZS output start Proof for 117930232135952742150520
6. ! [X0] : ((~curious(X0) <~> curious(X0)) => (wise(X0) & happy(X0))) [input p5]
12. ! [X0] : ((generous(X0) & ~brave(X0)) <=> (tall(X0) | ~patient(X0))) [input p11]
14. ! [X0] : ((wise(X0) & generous(X0)) <=>... | 0 |
If someone is both not creative and not humble then susan is either not kind or generous and vice versa.
Everyone who is either creative or not wise is not calm or not brave and vice versa.
If mary is not rich or curious then susan is calm or not brave.
If lucy is both strong and not tall then fred is old and vice vers... | Paul is generous. | entailment | ((?[X]:((~creative(X)&~humble(X))))<=>((~kind(susan)<~>generous(susan))))&
(![X]:((creative(X)<~>~wise(X))<=>(~calm(X)|~brave(X))))&
(((~rich(mary)|curious(mary)))=>((calm(susan)|~brave(susan))))&
(((strong(lucy)&~tall(lucy)))<=>(old(fred)))&
(![X]:(~strong(X)<=>(~brave(X)&funny(X))))&
(![X]:((calm(X)|quiet(X))<=>(~fun... | generous(paul) | [
"p3",
"p7",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3371609999037188971538078
% SZS output start Proof for 3371609999037188971538078
4. (~tall(lucy) & strong(lucy)) <=> old(fred) [input p3]
8. ? [X0] : (~generous(X0) | ~curious(X0)) <=> (old(fred) & creative(fred)) [input p7]
15. (~calm(fred) & calm(fred)) <=> (strong(lucy) | rich(lucy)) [... | 0 |
Everyone who is either creative or calm is not quiet or not wise and vice versa. If someone is not old or kind then john is not wise or not creative and vice versa. If someone is not quiet then someone is strong or kind. If fred is not patient then someone is calm. Everyone who is not happy or not patient is not old or... | Susan is tall. | contradiction | (![X]:((creative(X)<~>calm(X))<=>(~quiet(X)|~wise(X))))&
((?[X]:((~old(X)|kind(X))))<=>((~wise(john)|~creative(john))))&
((?[X]:(~quiet(X)))=>(?[X]:((strong(X)|kind(X)))))&
((~patient(fred))=>(?[X]:(calm(X))))&
(![X]:((~happy(X)|~patient(X))=>(~old(X)|~generous(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~creative(X)<~>~tall... | tall(susan) | [
"p0",
"p5",
"p7",
"p10",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4618056966890566711440822
% SZS output start Proof for 4618056966890566711440822
1. ! [X0] : ((creative(X0) <~> calm(X0)) <=> (~wise(X0) | ~quiet(X0))) [input p0]
6. ! [X0] : ((~calm(X0) & ~funny(X0)) <=> (~creative(X0) <~> ~tall(X0))) [input p5]
8. ! [X0] : ((~patient(X0) <~> funny(X0)) ... | 0 |
If someone is either not creative 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 e... | John is not patient. | contradiction | ((?[X]:((~creative(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)|~... | ~patient(john) | [
"p7",
"p10",
"p12",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4595924534351202033283640
% SZS output start Proof for 4595924534351202033283640
8. ! [X0] : ((rich(X0) | calm(X0)) <=> (~strong(X0) & ~creative(X0))) [input p7]
11. ! [X0] : ((~patient(X0) <~> ~funny(X0)) <=> (creative(X0) <~> calm(X0))) [input p10]
13. ! [X0] : ((~patient(X0) <~> creati... | 0 |
If john is not humble or not curious then someone is either not calm or not creative.
Everyone who is either not strong or patient is tall.
If someone is not generous or not rich then someone is either not strong or generous.
Everyone who is funny is both humble and curious and vice versa.
Everyone who is not calm or p... | Lucy is creative. | entailment | (((~humble(john)|~curious(john)))=>(?[X]:((~calm(X)<~>~creative(X)))))&
(![X]:((~strong(X)<~>patient(X))=>tall(X)))&
((?[X]:((~generous(X)|~rich(X))))=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:(funny(X)<=>(humble(X)&curious(X))))&
(![X]:((~calm(X)|patient(X))<=>(~tall(X)<~>~strong(X))))&
(![X]:((~strong(X)&~tall(X))... | creative(lucy) | [
"p3",
"p8",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 228563482554212431569415
% SZS output start Proof for 228563482554212431569415
4. ! [X0] : (funny(X0) <=> (curious(X0) & humble(X0))) [input p3]
9. ! [X0] : ((~kind(X0) <~> ~curious(X0)) => (creative(X0) & ~happy(X0))) [input p8]
10. ? [X0] : (funny(X0) | ~humble(X0)) => (rich(susan) & ~r... | 0 |
If someone is either not wise or not happy then someone is either generous or not funny.
Everyone who is patient or generous is both not tall and rich and vice versa.
If someone is either not creative or kind then alice is humble or strong and vice versa.
If john is either not brave or not generous then someone is not ... | Mary is generous. | contradiction | ((?[X]:((~wise(X)<~>~happy(X))))=>(?[X]:((generous(X)<~>~funny(X)))))&
(![X]:((patient(X)|generous(X))<=>(~tall(X)&rich(X))))&
((?[X]:((~creative(X)<~>kind(X))))<=>((humble(alice)|strong(alice))))&
(((~brave(john)<~>~generous(john)))<=>(?[X]:((~tall(X)|humble(X)))))&
(![X]:(~generous(X)=>(quiet(X)&kind(X))))&
(![X]:((h... | generous(mary) | [
"p1",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7503453990961226725902135
% SZS output start Proof for 7503453990961226725902135
2. ! [X0] : ((generous(X0) | patient(X0)) <=> (rich(X0) & ~tall(X0))) [input p1]
11. ! [X0] : (kind(X0) <=> (brave(X0) | ~kind(X0))) [input p10]
15. ? [X0] : (~humble(X0) | rich(X0)) <=> ~brave(mary) [input p... | 0 |
If paul is both not happy and funny then someone is both happy and not strong and vice versa.
If someone is either not old or not curious then someone is rich or not tall and vice versa.
Everyone who is either not calm or funny is calm.
If paul is either kind or not calm then susan is not strong or generous.
Everyone w... | Alice is brave. | entailment | (((~happy(paul)&funny(paul)))<=>(?[X]:((happy(X)&~strong(X)))))&
((?[X]:((~old(X)<~>~curious(X))))<=>(?[X]:((rich(X)|~tall(X)))))&
(![X]:((~calm(X)<~>funny(X))=>calm(X)))&
(((kind(paul)<~>~calm(paul)))=>((~strong(susan)|generous(susan))))&
(![X]:((~wise(X)&wise(X))<=>(~generous(X)&~strong(X))))&
(![X]:((happy(X)|~calm(... | brave(alice) | [
"p5",
"p8",
"p11",
"p12",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4763174674595361623912328
% SZS output start Proof for 4763174674595361623912328
6. ! [X0] : ((~calm(X0) | happy(X0)) <=> (~wise(X0) <~> ~happy(X0))) [input p5]
9. ! [X0] : ((~wise(X0) <~> curious(X0)) => (~quiet(X0) | brave(X0))) [input p8]
12. ! [X0] : ((calm(X0) & old(X0)) <=> (~old(X0... | 0 |
Everyone who is not curious or not strong is either curious or quiet.
If alice is not wise then someone is brave or wise and vice versa.
Everyone who is not happy or curious is curious.
Everyone who is both generous and patient is not calm or not happy and vice versa.
Everyone who is quiet or not wise is either not gen... | John is wise. | entailment | (![X]:((~curious(X)|~strong(X))=>(curious(X)<~>quiet(X))))&
((~wise(alice))<=>(?[X]:((brave(X)|wise(X)))))&
(![X]:((~happy(X)|curious(X))=>curious(X)))&
(![X]:((generous(X)&patient(X))<=>(~calm(X)|~happy(X))))&
(![X]:((quiet(X)|~wise(X))=>(~generous(X)<~>~calm(X))))&
(![X]:((~old(X)|strong(X))<=>(~generous(X)&curious(X... | wise(john) | [
"p9",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8121430958379549064610431
% SZS output start Proof for 8121430958379549064610431
10. ! [X0] : (~humble(X0) => wise(X0)) [input p9]
16. ! [X0] : ((humble(X0) <~> ~patient(X0)) <=> (funny(X0) & ~patient(X0))) [input p15]
24. funny(john) <~> patient(john) [input p23]
25. ~wise(john) [input h... | 0 |
Everyone who is either generous or not brave is both not creative and not quiet. Everyone who is either not tall or not funny is both humble and not generous and vice versa. Everyone who is happy is not calm or strong and vice versa. Everyone who is both brave and not curious is patient or not patient. Everyone who is ... | Alice is not tall. | entailment | (![X]:((generous(X)<~>~brave(X))=>(~creative(X)&~quiet(X))))&
(![X]:((~tall(X)<~>~funny(X))<=>(humble(X)&~generous(X))))&
(![X]:(happy(X)<=>(~calm(X)|strong(X))))&
(![X]:((brave(X)&~curious(X))=>(patient(X)|~patient(X))))&
(![X]:(~tall(X)=>(old(X)|generous(X))))&
(![X]:((~funny(X)<~>old(X))<=>(~patient(X)|~tall(X))))&
... | ~tall(alice) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6527776516537586012607142
% SZS output start Proof for 6527776516537586012607142
9. ! [X0] : (~wise(X0) => (~calm(X0) & wise(X0))) [input p8]
12. ! [X0] : ((~humble(X0) | tall(X0)) => (~wise(X0) & ~quiet(X0))) [input p11]
23. tall(alice) [input hypothesis]
32. ! [X0] : ((~calm(X0) & wise(... | 0 |
Everyone who is either not wise or quiet is both not calm and not kind and vice versa.
Everyone who is funny or not patient is not creative or wise and vice versa.
If someone is strong then someone is not tall and vice versa.
Everyone who is not brave or not humble is either not generous or not calm and vice versa.
Eve... | Alice is not funny. | contradiction | (![X]:((~wise(X)<~>quiet(X))<=>(~calm(X)&~kind(X))))&
(![X]:((funny(X)|~patient(X))<=>(~creative(X)|wise(X))))&
((?[X]:(strong(X)))<=>(?[X]:(~tall(X))))&
(![X]:((~brave(X)|~humble(X))<=>(~generous(X)<~>~calm(X))))&
(![X]:(~calm(X)=>humble(X)))&
(![X]:((quiet(X)<~>~kind(X))<=>(patient(X)&~funny(X))))&
(![X]:((brave(X)<~... | ~funny(alice) | [
"p1",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8828253095860892357558867
% SZS output start Proof for 8828253095860892357558867
2. ! [X0] : ((~patient(X0) | funny(X0)) <=> (wise(X0) | ~creative(X0))) [input p1]
9. ! [X0] : ((creative(X0) <~> curious(X0)) <=> rich(X0)) [input p8]
11. ! [X0] : ((~curious(X0) <~> strong(X0)) <=> (~rich(X... | 0 |
Everyone who is calm is not humble and vice versa. Everyone who is curious is not calm and vice versa. Everyone who is both not calm and humble is either calm or not old and vice versa. Everyone who is either calm or tall is either not patient or not kind and vice versa. Everyone who is funny or quiet is not kind and v... | Alice is not calm. | entailment | (![X]:(calm(X)<=>~humble(X)))&
(![X]:(curious(X)<=>~calm(X)))&
(![X]:((~calm(X)&humble(X))<=>(calm(X)<~>~old(X))))&
(![X]:((calm(X)<~>tall(X))<=>(~patient(X)<~>~kind(X))))&
(![X]:((funny(X)|quiet(X))<=>~kind(X)))&
((?[X]:((~humble(X)|~quiet(X))))<=>((~calm(paul)<~>~strong(paul))))&
(![X]:((tall(X)|~curious(X))=>(~patie... | ~calm(alice) | [
"p0",
"p1",
"p2",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4599102316580270517470444
% SZS output start Proof for 4599102316580270517470444
1. ! [X0] : (calm(X0) <=> ~humble(X0)) [input p0]
2. ! [X0] : (curious(X0) <=> ~calm(X0)) [input p1]
3. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (calm(X0) <~> ~old(X0))) [input p2]
7. ! [X0] : ((~curious(X0) | ... | 0 |
Everyone who is not happy is not patient and vice versa.
If someone is not rich then someone is wise or not calm.
Everyone who is either kind or brave is either not wise or not quiet and vice versa.
If someone is both not old and curious then mary is not kind.
Everyone who is either not quiet or not old is not creative... | Lucy is quiet. | neutral | (![X]:(~happy(X)<=>~patient(X)))&
((?[X]:(~rich(X)))=>(?[X]:((wise(X)|~calm(X)))))&
(![X]:((kind(X)<~>brave(X))<=>(~wise(X)<~>~quiet(X))))&
((?[X]:((~old(X)&curious(X))))=>(~kind(mary)))&
(![X]:((~quiet(X)<~>~old(X))=>~creative(X)))&
((~calm(lucy))<=>((quiet(alice)&~brave(alice))))&
(((tall(mary)|~generous(mary)))=>(?[... | quiet(lucy) | [] | null | 0 |
If susan is rich or tall then someone is not old or not humble and vice versa.
If someone is old then paul is both curious and not curious and vice versa.
If susan is either calm or creative then fred is either not humble or tall and vice versa.
If paul is both happy and strong then someone is both not rich and old and... | Mary is old. | contradiction | (((rich(susan)|tall(susan)))<=>(?[X]:((~old(X)|~humble(X)))))&
((?[X]:(old(X)))<=>((curious(paul)&~curious(paul))))&
(((calm(susan)<~>creative(susan)))<=>((~humble(fred)<~>tall(fred))))&
(((happy(paul)&strong(paul)))<=>(?[X]:((~rich(X)&old(X)))))&
(((rich(mary)|tall(mary)))<=>(?[X]:((funny(X)|~wise(X)))))&
((~humble(jo... | old(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8261390020536037963625670
% SZS output start Proof for 8261390020536037963625670
2. ? [X0] : old(X0) <=> (~curious(paul) & curious(paul)) [input p1]
25. old(mary) [input hypothesis]
42. (? [X0] : old(X0) | (curious(paul) | ~curious(paul))) & ((~curious(paul) & curious(paul)) | ! [X0] : ~o... | 0 |
Everyone who is either brave or not wise is both kind and wise and vice versa.
Everyone who is brave or strong is both not old and tall and vice versa.
If mary is either generous or rich then susan is not rich.
Everyone who is not kind or not old is both not wise and not creative and vice versa.
Everyone who is either ... | John is not quiet. | neutral | (![X]:((brave(X)<~>~wise(X))<=>(kind(X)&wise(X))))&
(![X]:((brave(X)|strong(X))<=>(~old(X)&tall(X))))&
(((generous(mary)<~>rich(mary)))=>(~rich(susan)))&
(![X]:((~kind(X)|~old(X))<=>(~wise(X)&~creative(X))))&
(![X]:((kind(X)<~>~patient(X))<=>(~creative(X)<~>~curious(X))))&
(![X]:((~kind(X)&quiet(X))<=>(patient(X)&curio... | ~quiet(john) | [] | null | 0 |
Everyone who is kind or tall is not generous or humble and vice versa.
Everyone who is either creative or curious is old or not tall and vice versa.
Everyone who is either brave or curious is humble and vice versa.
If someone is both kind and not wise then someone is both funny and not funny and vice versa.
Everyone wh... | Fred is not kind. | neutral | (![X]:((kind(X)|tall(X))<=>(~generous(X)|humble(X))))&
(![X]:((creative(X)<~>curious(X))<=>(old(X)|~tall(X))))&
(![X]:((brave(X)<~>curious(X))<=>humble(X)))&
((?[X]:((kind(X)&~wise(X))))<=>(?[X]:((funny(X)&~funny(X)))))&
(![X]:((rich(X)<~>~humble(X))=>~curious(X)))&
((~humble(fred))<=>(~generous(john)))&
(((funny(john)... | ~kind(fred) | [] | null | 0 |
Everyone who is both funny and not patient is not calm or not brave and vice versa.
If john is not rich then someone is both rich and curious and vice versa.
If someone is patient then someone is either humble or not funny.
If susan is not old or calm then susan is old.
Everyone who is not old or generous is not brave ... | John is not happy. | contradiction | (![X]:((funny(X)&~patient(X))<=>(~calm(X)|~brave(X))))&
((~rich(john))<=>(?[X]:((rich(X)&curious(X)))))&
((?[X]:(patient(X)))=>(?[X]:((humble(X)<~>~funny(X)))))&
(((~old(susan)|calm(susan)))=>(old(susan)))&
(![X]:((~old(X)|generous(X))<=>~brave(X)))&
(![X]:((rich(X)|~strong(X))<=>(curious(X)|~tall(X))))&
(((happy(lucy)... | ~happy(john) | [
"p0",
"p8",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1330194770555615366294687
% SZS output start Proof for 1330194770555615366294687
1. ! [X0] : ((~patient(X0) & funny(X0)) <=> (~brave(X0) | ~calm(X0))) [input p0]
9. ! [X0] : ((~brave(X0) <~> ~wise(X0)) <=> (kind(X0) <~> ~calm(X0))) [input p8]
11. ! [X0] : ((~calm(X0) & brave(X0)) <=> (~wi... | 0 |
If paul is rich or not generous then paul is not quiet. Everyone who is either patient or rich is not curious or quiet. Everyone who is both old and calm is happy or not old. Everyone who is both brave and happy is either not brave or generous. Everyone who is both not curious and not old is curious and vice versa. Eve... | Paul is patient. | neutral | (((rich(paul)|~generous(paul)))=>(~quiet(paul)))&
(![X]:((patient(X)<~>rich(X))=>(~curious(X)|quiet(X))))&
(![X]:((old(X)&calm(X))=>(happy(X)|~old(X))))&
(![X]:((brave(X)&happy(X))=>(~brave(X)<~>generous(X))))&
(![X]:((~curious(X)&~old(X))<=>curious(X)))&
(![X]:(~generous(X)<=>~creative(X)))&
(![X]:(patient(X)=>(~stron... | patient(paul) | [] | null | 0 |
If someone is not calm then alice is funny or not happy. If alice is either creative or strong then someone is either humble or not curious and vice versa. Everyone who is funny or generous is either rich or not curious and vice versa. If susan is either not kind or brave then paul is either kind or generous and vice v... | Mary is patient. | neutral | ((?[X]:(~calm(X)))=>((funny(alice)|~happy(alice))))&
(((creative(alice)<~>strong(alice)))<=>(?[X]:((humble(X)<~>~curious(X)))))&
(![X]:((funny(X)|generous(X))<=>(rich(X)<~>~curious(X))))&
(((~kind(susan)<~>brave(susan)))<=>((kind(paul)<~>generous(paul))))&
(![X]:((~happy(X)<~>~rich(X))<=>~kind(X)))&
(![X]:(~kind(X)=>(~... | patient(mary) | [] | null | 0 |
Everyone who is generous or not kind is both not curious and wise and vice versa.
Everyone who is either not happy or not creative is generous or kind and vice versa.
Everyone who is generous or happy is either not strong or not wise.
If mary is both generous and not creative then paul is both not tall and not creative... | Mary is strong. | neutral | (![X]:((generous(X)|~kind(X))<=>(~curious(X)&wise(X))))&
(![X]:((~happy(X)<~>~creative(X))<=>(generous(X)|kind(X))))&
(![X]:((generous(X)|happy(X))=>(~strong(X)<~>~wise(X))))&
(((generous(mary)&~creative(mary)))<=>((~tall(paul)&~creative(paul))))&
(![X]:((~happy(X)&~humble(X))<=>(~brave(X)|rich(X))))&
(![X]:((strong(X)... | strong(mary) | [] | null | 0 |
If someone is both quiet and not quiet then someone is either patient or not happy.
If mary is not funny then lucy is calm or not kind.
Everyone who is not quiet or not rich is both creative and generous and vice versa.
If someone is brave or not strong then susan is rich.
Everyone who is either calm or patient is quie... | Lucy is quiet. | neutral | ((?[X]:((quiet(X)&~quiet(X))))=>(?[X]:((patient(X)<~>~happy(X)))))&
((~funny(mary))=>((calm(lucy)|~kind(lucy))))&
(![X]:((~quiet(X)|~rich(X))<=>(creative(X)&generous(X))))&
((?[X]:((brave(X)|~strong(X))))=>(rich(susan)))&
(![X]:((calm(X)<~>patient(X))=>(quiet(X)|~old(X))))&
((?[X]:((~tall(X)<~>curious(X))))=>((generous... | quiet(lucy) | [] | null | 0 |
If fred is either creative or not humble then someone is strong and vice versa. If paul is both kind and not strong then someone is both brave and not patient and vice versa. If someone is not old or funny then someone is both wise and creative and vice versa. If someone is not happy or not tall then fred is both kind ... | Alice is rich. | entailment | (((creative(fred)<~>~humble(fred)))<=>(?[X]:(strong(X))))&
(((kind(paul)&~strong(paul)))<=>(?[X]:((brave(X)&~patient(X)))))&
((?[X]:((~old(X)|funny(X))))<=>(?[X]:((wise(X)&creative(X)))))&
((?[X]:((~happy(X)|~tall(X))))<=>((kind(fred)&old(fred))))&
((?[X]:(~calm(X)))<=>(?[X]:((~tall(X)<~>~kind(X)))))&
((?[X]:(quiet(X))... | rich(alice) | [
"p1",
"p3",
"p7",
"p8",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4112484808636004403136548
% SZS output start Proof for 4112484808636004403136548
2. (~strong(paul) & kind(paul)) <=> ? [X0] : (~patient(X0) & brave(X0)) [input p1]
4. ? [X0] : (~tall(X0) | ~happy(X0)) <=> (old(fred) & kind(fred)) [input p3]
8. ! [X0] : ((kind(X0) | ~old(X0)) <=> (~old(X0)... | 0 |
Everyone who is either creative or rich is not funny. Everyone who is both quiet and not kind is not old or not generous and vice versa. Everyone who is either not wise or not old is not wise and vice versa. Everyone who is not generous or not old is not happy and vice versa. Everyone who is both happy and tall is happ... | Fred is not wise. | contradiction | (![X]:((creative(X)<~>rich(X))=>~funny(X)))&
(![X]:((quiet(X)&~kind(X))<=>(~old(X)|~generous(X))))&
(![X]:((~wise(X)<~>~old(X))<=>~wise(X)))&
(![X]:((~generous(X)|~old(X))<=>~happy(X)))&
(![X]:((happy(X)&tall(X))<=>happy(X)))&
(![X]:(patient(X)<=>(calm(X)|tall(X))))&
((?[X]:((calm(X)|~curious(X))))<=>((funny(alice)|~br... | ~wise(fred) | [
"p2",
"p3",
"p4",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5497572006832232301145919
% SZS output start Proof for 5497572006832232301145919
3. ! [X0] : ((~wise(X0) <~> ~old(X0)) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((~old(X0) | ~generous(X0)) <=> ~happy(X0)) [input p3]
5. ! [X0] : ((tall(X0) & happy(X0)) <=> happy(X0)) [input p4]
6. ! [X0] : (pa... | 0 |
Everyone who is patient is not generous or generous. If mary is either not tall or tall then someone is either patient or humble and vice versa. If someone is either not curious or generous then lucy is not kind or not happy and vice versa. If someone is both not kind and not patient then someone is both curious and qu... | Alice is creative. | neutral | (![X]:(patient(X)=>(~generous(X)|generous(X))))&
(((~tall(mary)<~>tall(mary)))<=>(?[X]:((patient(X)<~>humble(X)))))&
((?[X]:((~curious(X)<~>generous(X))))<=>((~kind(lucy)|~happy(lucy))))&
((?[X]:((~kind(X)&~patient(X))))=>(?[X]:((curious(X)&quiet(X)))))&
((?[X]:(~humble(X)))<=>((brave(john)<~>rich(john))))&
(((~humble(... | creative(alice) | [] | null | 0 |
Everyone who is both not calm and tall is creative or not creative and vice versa.
If someone is both funny and quiet then someone is old or not tall.
Everyone who is both tall and not happy is both not humble and not happy and vice versa.
Everyone who is funny is not calm or old and vice versa.
Everyone who is not cal... | Susan is not patient. | neutral | (![X]:((~calm(X)&tall(X))<=>(creative(X)|~creative(X))))&
((?[X]:((funny(X)&quiet(X))))=>(?[X]:((old(X)|~tall(X)))))&
(![X]:((tall(X)&~happy(X))<=>(~humble(X)&~happy(X))))&
(![X]:(funny(X)<=>(~calm(X)|old(X))))&
(![X]:((~calm(X)|kind(X))<=>strong(X)))&
(![X]:(~funny(X)<=>(humble(X)&~wise(X))))&
(![X]:((~kind(X)|generou... | ~patient(susan) | [] | null | 0 |
Everyone who is either not kind or tall is creative and vice versa. Everyone who is both happy and not generous is either not calm or wise and vice versa. Everyone who is either not generous or curious is kind or brave. If someone is calm then someone is both not strong and curious. Everyone who is not brave is both ta... | Susan is not curious. | contradiction | (![X]:((~kind(X)<~>tall(X))<=>creative(X)))&
(![X]:((happy(X)&~generous(X))<=>(~calm(X)<~>wise(X))))&
(![X]:((~generous(X)<~>curious(X))=>(kind(X)|brave(X))))&
((?[X]:(calm(X)))=>(?[X]:((~strong(X)&curious(X)))))&
(![X]:(~brave(X)<=>(tall(X)&~creative(X))))&
(![X]:((~wise(X)&~funny(X))<=>(strong(X)<~>~humble(X))))&
(![... | ~curious(susan) | [
"p0",
"p1",
"p2",
"p4",
"p8",
"p15",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 389762306244739863378175
% SZS output start Proof for 389762306244739863378175
1. ! [X0] : ((~kind(X0) <~> tall(X0)) <=> creative(X0)) [input p0]
2. ! [X0] : ((~generous(X0) & happy(X0)) <=> (~calm(X0) <~> wise(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> curious(X0)) => (brave(X0) | ... | 0 |
If john is both old and brave then someone is not rich.
Everyone who is either creative or quiet is both not strong and not quiet.
Everyone who is not generous is not rich.
Everyone who is either not old or humble is not old or calm and vice versa.
If someone is either funny or not patient then alice is patient or stro... | Susan is tall. | contradiction | (((old(john)&brave(john)))=>(?[X]:(~rich(X))))&
(![X]:((creative(X)<~>quiet(X))=>(~strong(X)&~quiet(X))))&
(![X]:(~generous(X)=>~rich(X)))&
(![X]:((~old(X)<~>humble(X))<=>(~old(X)|calm(X))))&
((?[X]:((funny(X)<~>~patient(X))))<=>((patient(alice)|strong(alice))))&
(![X]:((~strong(X)&wise(X))<=>(~brave(X)<~>~curious(X)))... | tall(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8241624687454267480458615
% SZS output start Proof for 8241624687454267480458615
13. ! [X0] : ((~funny(X0) <~> funny(X0)) => (~tall(X0) & ~kind(X0))) [input p12]
25. tall(susan) [input hypothesis]
36. ! [X0] : ((~tall(X0) & ~kind(X0)) | (~funny(X0) <=> funny(X0))) [ennf transformation 13]... | 0 |
If fred is either kind or happy then someone is either creative or not kind. If john is generous or quiet then susan is not patient or not creative. Everyone who is not strong is both wise and not patient and vice versa. If mary is both brave and strong then someone is strong or wise. Everyone who is funny is not quiet... | Susan is not kind. | neutral | (((kind(fred)<~>happy(fred)))=>(?[X]:((creative(X)<~>~kind(X)))))&
(((generous(john)|quiet(john)))=>((~patient(susan)|~creative(susan))))&
(![X]:(~strong(X)<=>(wise(X)&~patient(X))))&
(((brave(mary)&strong(mary)))=>(?[X]:((strong(X)|wise(X)))))&
(![X]:(funny(X)=>~quiet(X)))&
((?[X]:((~old(X)<~>~tall(X))))<=>((~humble(s... | ~kind(susan) | [] | null | 0 |
Everyone who is kind or not humble is either tall or strong.
If someone is happy then alice is both wise and not wise.
Everyone who is both not brave and rich is both not rich and kind and vice versa.
Everyone who is either not quiet or tall is either not funny or not patient.
If john is both not old and old then someo... | Alice is not humble. | contradiction | (![X]:((kind(X)|~humble(X))=>(tall(X)<~>strong(X))))&
((?[X]:(happy(X)))=>((wise(alice)&~wise(alice))))&
(![X]:((~brave(X)&rich(X))<=>(~rich(X)&kind(X))))&
(![X]:((~quiet(X)<~>tall(X))=>(~funny(X)<~>~patient(X))))&
(((~old(john)&old(john)))=>(?[X]:((old(X)&funny(X)))))&
(![X]:((~wise(X)|tall(X))=>~wise(X)))&
(((~strong... | ~humble(alice) | [
"p1",
"p2",
"p7",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8346986377955551379913056
% SZS output start Proof for 8346986377955551379913056
2. ? [X0] : happy(X0) => (~wise(alice) & wise(alice)) [input p1]
3. ! [X0] : ((rich(X0) & ~brave(X0)) <=> (kind(X0) & ~rich(X0))) [input p2]
8. (~tall(alice) & kind(alice)) <=> (~happy(alice) | brave(alice)) ... | 0 |
If someone is either kind or patient then john is strong.
If mary is both not humble and brave then john is both strong and not quiet.
Everyone who is not calm is tall.
Everyone who is quiet or curious is both not kind and not humble.
Everyone who is not tall is both not creative and not brave and vice versa.
Everyone ... | Mary is not humble. | neutral | ((?[X]:((kind(X)<~>patient(X))))=>(strong(john)))&
(((~humble(mary)&brave(mary)))=>((strong(john)&~quiet(john))))&
(![X]:(~calm(X)=>tall(X)))&
(![X]:((quiet(X)|curious(X))=>(~kind(X)&~humble(X))))&
(![X]:(~tall(X)<=>(~creative(X)&~brave(X))))&
(![X]:((happy(X)&patient(X))=>(old(X)&brave(X))))&
(![X]:((~patient(X)&brave... | ~humble(mary) | [] | null | 0 |
If someone is either happy or not generous then mary is either not kind or not brave and vice versa. Everyone who is not humble is either strong or generous. Everyone who is either generous or funny is calm or not creative. If fred is wise then lucy is either funny or not brave and vice versa. Everyone who is calm is o... | John is not patient. | neutral | ((?[X]:((happy(X)<~>~generous(X))))<=>((~kind(mary)<~>~brave(mary))))&
(![X]:(~humble(X)=>(strong(X)<~>generous(X))))&
(![X]:((generous(X)<~>funny(X))=>(calm(X)|~creative(X))))&
((wise(fred))<=>((funny(lucy)<~>~brave(lucy))))&
(![X]:(calm(X)<=>old(X)))&
((~funny(fred))=>(strong(fred)))&
((?[X]:(funny(X)))=>(?[X]:((~cre... | ~patient(john) | [] | null | 0 |
If someone is either old or calm then alice is not humble or creative and vice versa.
If someone is both not patient and creative then someone is wise and vice versa.
If lucy is both patient and not generous then someone is not curious or calm and vice versa.
Everyone who is not generous is either not kind or not quiet... | Paul is creative. | neutral | ((?[X]:((old(X)<~>calm(X))))<=>((~humble(alice)|creative(alice))))&
((?[X]:((~patient(X)&creative(X))))<=>(?[X]:(wise(X))))&
(((patient(lucy)&~generous(lucy)))<=>(?[X]:((~curious(X)|calm(X)))))&
(![X]:(~generous(X)=>(~kind(X)<~>~quiet(X))))&
((?[X]:((~strong(X)<~>rich(X))))=>((~happy(lucy)|~kind(lucy))))&
(![X]:((rich(... | creative(paul) | [] | null | 0 |
If susan is generous or not tall then susan is both rich and wise and vice versa.
Everyone who is both not quiet and not creative is either calm or creative and vice versa.
If someone is happy then paul is calm or creative and vice versa.
If paul is patient then mary is either not humble or kind.
If paul is either not ... | Susan is quiet. | entailment | (((generous(susan)|~tall(susan)))<=>((rich(susan)&wise(susan))))&
(![X]:((~quiet(X)&~creative(X))<=>(calm(X)<~>creative(X))))&
((?[X]:(happy(X)))<=>((calm(paul)|creative(paul))))&
((patient(paul))=>((~humble(mary)<~>kind(mary))))&
(((~old(paul)<~>creative(paul)))<=>(?[X]:((~happy(X)<~>~patient(X)))))&
(![X]:(~humble(X)... | quiet(susan) | [
"p0",
"p1",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6833554299818569985275763
% SZS output start Proof for 6833554299818569985275763
1. (~tall(susan) | generous(susan)) <=> (wise(susan) & rich(susan)) [input p0]
2. ! [X0] : ((~creative(X0) & ~quiet(X0)) <=> (calm(X0) <~> creative(X0))) [input p1]
10. ? [X0] : (calm(X0) <~> ~old(X0)) => ? [... | 0 |
Everyone who is generous is curious.
Everyone who is either quiet or kind is not wise and vice versa.
If paul is not curious or funny then someone is not quiet and vice versa.
Everyone who is happy is both creative and not strong and vice versa.
Everyone who is quiet is creative or not generous.
If paul is not kind the... | Susan is not kind. | contradiction | (![X]:(generous(X)=>curious(X)))&
(![X]:((quiet(X)<~>kind(X))<=>~wise(X)))&
(((~curious(paul)|funny(paul)))<=>(?[X]:(~quiet(X))))&
(![X]:(happy(X)<=>(creative(X)&~strong(X))))&
(![X]:(quiet(X)=>(creative(X)|~generous(X))))&
((~kind(paul))=>((curious(fred)&~happy(fred))))&
((?[X]:((quiet(X)|~generous(X))))<=>(?[X]:((~ol... | ~kind(susan) | [
"p1",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 877621283877149676325905
% SZS output start Proof for 877621283877149676325905
2. ! [X0] : ((quiet(X0) <~> kind(X0)) <=> ~wise(X0)) [input p1]
7. ? [X0] : (~generous(X0) | quiet(X0)) <=> ? [X0] : (~tall(X0) & ~old(X0)) [input p6]
12. ! [X0] : ((wise(X0) | patient(X0)) <=> quiet(X0)) [inpu... | 0 |
If paul is not quiet or not strong then someone is not generous and vice versa.
Everyone who is brave is kind.
If john is not patient or kind then someone is either patient or creative and vice versa.
Everyone who is both not tall and old is rich or curious and vice versa.
If alice is tall then lucy is either not old o... | John is not curious. | contradiction | (((~quiet(paul)|~strong(paul)))<=>(?[X]:(~generous(X))))&
(![X]:(brave(X)=>kind(X)))&
(((~patient(john)|kind(john)))<=>(?[X]:((patient(X)<~>creative(X)))))&
(![X]:((~tall(X)&old(X))<=>(rich(X)|curious(X))))&
((tall(alice))=>((~old(lucy)<~>~curious(lucy))))&
(![X]:(quiet(X)<=>(rich(X)<~>creative(X))))&
((~patient(lucy))... | ~curious(john) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8014454677524627605951644
% SZS output start Proof for 8014454677524627605951644
24. curious(john) [input p23]
25. ~curious(john) [input hypothesis]
144. curious(john) [cnf transformation 24]
145. ~curious(john) [cnf transformation 25]
294. 33 <=> curious(john) [avatar definition]
395. 33... | 0 |
Everyone who is humble is strong or quiet. Everyone who is tall is both not curious and old. If someone is both not tall and generous then someone is both not humble and happy. If fred is either not strong or rich then someone is either curious or tall. Everyone who is both humble and not old is both not generous and c... | Alice is old. | contradiction | (![X]:(humble(X)=>(strong(X)|quiet(X))))&
(![X]:(tall(X)=>(~curious(X)&old(X))))&
((?[X]:((~tall(X)&generous(X))))=>(?[X]:((~humble(X)&happy(X)))))&
(((~strong(fred)<~>rich(fred)))=>(?[X]:((curious(X)<~>tall(X)))))&
(![X]:((humble(X)&~old(X))<=>(~generous(X)&curious(X))))&
(![X]:(~tall(X)<=>funny(X)))&
(![X]:((~generou... | old(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8666352982446539943119044
% SZS output start Proof for 8666352982446539943119044
11. ! [X0] : ((tall(X0) & ~tall(X0)) <=> old(X0)) [input p10]
25. old(alice) [input hypothesis]
54. ! [X0] : (((tall(X0) & ~tall(X0)) | ~old(X0)) & (old(X0) | (~tall(X0) | tall(X0)))) [nnf transformation 11]
... | 0 |
If someone is not funny then someone is not quiet or humble and vice versa.
Everyone who is either not patient or wise is not happy or not quiet and vice versa.
If someone is either rich or not funny then someone is both happy and not kind and vice versa.
Everyone who is rich is both old and quiet.
Everyone who is humb... | Lucy is creative. | entailment | ((?[X]:(~funny(X)))<=>(?[X]:((~quiet(X)|humble(X)))))&
(![X]:((~patient(X)<~>wise(X))<=>(~happy(X)|~quiet(X))))&
((?[X]:((rich(X)<~>~funny(X))))<=>(?[X]:((happy(X)&~kind(X)))))&
(![X]:(rich(X)=>(old(X)&quiet(X))))&
(![X]:(humble(X)<=>(~wise(X)<~>~strong(X))))&
((?[X]:((funny(X)<~>~calm(X))))=>(?[X]:((~old(X)<~>creative... | creative(lucy) | [
"p3",
"p4",
"p7",
"p11",
"p12",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1406720030649379392987953
% SZS output start Proof for 1406720030649379392987953
4. ! [X0] : (rich(X0) => (quiet(X0) & old(X0))) [input p3]
5. ! [X0] : (humble(X0) <=> (~wise(X0) <~> ~strong(X0))) [input p4]
8. ! [X0] : ((~strong(X0) | ~quiet(X0)) => ~generous(X0)) [input p7]
12. ! [X0] :... | 0 |
Everyone who is both funny and tall is either not quiet or not happy. Everyone who is not strong or strong is either not wise or old and vice versa. Everyone who is calm or not calm is not creative or funny and vice versa. If someone is both not generous and not tall then someone is not humble or not calm. Everyone who... | Alice is not creative. | neutral | (![X]:((funny(X)&tall(X))=>(~quiet(X)<~>~happy(X))))&
(![X]:((~strong(X)|strong(X))<=>(~wise(X)<~>old(X))))&
(![X]:((calm(X)|~calm(X))<=>(~creative(X)|funny(X))))&
((?[X]:((~generous(X)&~tall(X))))=>(?[X]:((~humble(X)|~calm(X)))))&
(![X]:((curious(X)|generous(X))<=>(~happy(X)<~>calm(X))))&
((?[X]:((tall(X)&~wise(X))))<... | ~creative(alice) | [] | null | 0 |
Everyone who is wise is not funny or not generous.
Everyone who is not quiet or not humble is either not rich or not calm and vice versa.
If someone is not happy or wise then mary is either not rich or not happy and vice versa.
Everyone who is not old is not funny or not curious.
Everyone who is not quiet or not patien... | John is brave. | entailment | (![X]:(wise(X)=>(~funny(X)|~generous(X))))&
(![X]:((~quiet(X)|~humble(X))<=>(~rich(X)<~>~calm(X))))&
((?[X]:((~happy(X)|wise(X))))<=>((~rich(mary)<~>~happy(mary))))&
(![X]:(~old(X)=>(~funny(X)|~curious(X))))&
(![X]:((~quiet(X)|~patient(X))=>brave(X)))&
(![X]:((~humble(X)&~rich(X))<=>(~rich(X)|~humble(X))))&
((?[X]:((~g... | brave(john) | [
"p1",
"p4",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7929156337583574393740945
% SZS output start Proof for 7929156337583574393740945
2. ! [X0] : ((~humble(X0) | ~quiet(X0)) <=> (~rich(X0) <~> ~calm(X0))) [input p1]
5. ! [X0] : ((~patient(X0) | ~quiet(X0)) => brave(X0)) [input p4]
6. ! [X0] : ((~rich(X0) & ~humble(X0)) <=> (~humble(X0) | ~r... | 0 |
If paul is either not rich or creative then someone is both happy and old and vice versa.
Everyone who is wise is not generous or not funny and vice versa.
If someone is either creative or not tall then susan is both brave and old.
If someone is either brave or patient then john is either not generous or not old and vi... | Fred is not creative. | neutral | (((~rich(paul)<~>creative(paul)))<=>(?[X]:((happy(X)&old(X)))))&
(![X]:(wise(X)<=>(~generous(X)|~funny(X))))&
((?[X]:((creative(X)<~>~tall(X))))=>((brave(susan)&old(susan))))&
((?[X]:((brave(X)<~>patient(X))))<=>((~generous(john)<~>~old(john))))&
((?[X]:((~tall(X)&~curious(X))))=>((~kind(paul)|~strong(paul))))&
(((~bra... | ~creative(fred) | [] | null | 0 |
If someone is both wise and rich then mary is both humble and rich. If someone is happy then alice is not brave. Everyone who is not wise or not brave is brave and vice versa. If someone is either happy or not tall then someone is both happy and calm. Everyone who is both not creative and not wise is strong or not kind... | Alice is not wise. | entailment | ((?[X]:((wise(X)&rich(X))))=>((humble(mary)&rich(mary))))&
((?[X]:(happy(X)))=>(~brave(alice)))&
(![X]:((~wise(X)|~brave(X))<=>brave(X)))&
((?[X]:((happy(X)<~>~tall(X))))=>(?[X]:((happy(X)&calm(X)))))&
(![X]:((~creative(X)&~wise(X))<=>(strong(X)|~kind(X))))&
(((humble(paul)|brave(paul)))=>((humble(alice)|wise(alice))))... | ~wise(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1380071319598480756120648
% SZS output start Proof for 1380071319598480756120648
3. ! [X0] : ((~brave(X0) | ~wise(X0)) <=> brave(X0)) [input p2]
22. wise(alice) [input hypothesis]
40. ! [X0] : (((~brave(X0) | ~wise(X0)) | ~brave(X0)) & (brave(X0) | (brave(X0) & wise(X0)))) [nnf transforma... | 0 |
If john is either calm or generous then someone is not wise and vice versa.
If someone is either old or not strong then someone is tall and vice versa.
Everyone who is humble or quiet is both not humble and not brave and vice versa.
Everyone who is old is either not tall or not strong.
If fred is not wise or old then s... | Paul is wise. | entailment | (((calm(john)<~>generous(john)))<=>(?[X]:(~wise(X))))&
((?[X]:((old(X)<~>~strong(X))))<=>(?[X]:(tall(X))))&
(![X]:((humble(X)|quiet(X))<=>(~humble(X)&~brave(X))))&
(![X]:(old(X)=>(~tall(X)<~>~strong(X))))&
(((~wise(fred)|old(fred)))<=>(?[X]:(~brave(X))))&
(![X]:((wise(X)|~funny(X))<=>(generous(X)|~calm(X))))&
(((~rich(... | wise(paul) | [
"p0",
"p2",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8031524457433278913708293
% SZS output start Proof for 8031524457433278913708293
1. (calm(john) <~> generous(john)) <=> ? [X0] : ~wise(X0) [input p0]
3. ! [X0] : ((quiet(X0) | humble(X0)) <=> (~brave(X0) & ~humble(X0))) [input p2]
11. ! [X0] : (quiet(X0) <=> (~brave(X0) <~> brave(X0))) [i... | 0 |
If someone is both curious and rich then fred is both not funny and humble and vice versa. Everyone who is not old or not tall is both generous and not brave and vice versa. Everyone who is generous or not funny is not funny and vice versa. If someone is either not rich or not generous then mary is happy and vice versa... | Fred is wise. | neutral | ((?[X]:((curious(X)&rich(X))))<=>((~funny(fred)&humble(fred))))&
(![X]:((~old(X)|~tall(X))<=>(generous(X)&~brave(X))))&
(![X]:((generous(X)|~funny(X))<=>~funny(X)))&
((?[X]:((~rich(X)<~>~generous(X))))<=>(happy(mary)))&
(![X]:(funny(X)<=>(~rich(X)<~>kind(X))))&
(![X]:((funny(X)&curious(X))<=>(wise(X)&~tall(X))))&
(![X]... | wise(fred) | [] | null | 0 |
If someone is creative then someone is either tall or quiet.
Everyone who is happy is either funny or patient and vice versa.
Everyone who is tall is rich.
If john is either not patient or kind then someone is not creative and vice versa.
Everyone who is patient is both not curious and strong and vice versa.
Everyone w... | Fred is happy. | neutral | ((?[X]:(creative(X)))=>(?[X]:((tall(X)<~>quiet(X)))))&
(![X]:(happy(X)<=>(funny(X)<~>patient(X))))&
(![X]:(tall(X)=>rich(X)))&
(((~patient(john)<~>kind(john)))<=>(?[X]:(~creative(X))))&
(![X]:(patient(X)<=>(~curious(X)&strong(X))))&
(![X]:(strong(X)<=>happy(X)))&
((curious(paul))=>(?[X]:(~happy(X))))&
((?[X]:((funny(X)... | happy(fred) | [] | null | 0 |
Everyone who is not brave is calm or old.
Everyone who is tall or not brave is both not quiet and not happy and vice versa.
Everyone who is either not curious or not wise is wise and vice versa.
Everyone who is either humble or calm is both patient and not creative.
If susan is not generous or funny then someone is not... | Susan is not funny. | contradiction | (![X]:(~brave(X)=>(calm(X)|old(X))))&
(![X]:((tall(X)|~brave(X))<=>(~quiet(X)&~happy(X))))&
(![X]:((~curious(X)<~>~wise(X))<=>wise(X)))&
(![X]:((humble(X)<~>calm(X))=>(patient(X)&~creative(X))))&
(((~generous(susan)|funny(susan)))<=>(?[X]:(~curious(X))))&
(![X]:((patient(X)|~happy(X))<=>(quiet(X)<~>~kind(X))))&
((?[X]:... | ~funny(susan) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 198053926782800787345015
% SZS output start Proof for 198053926782800787345015
2. ! [X0] : ((~brave(X0) | tall(X0)) <=> (~happy(X0) & ~quiet(X0))) [input p1]
3. ! [X0] : ((~curious(X0) <~> ~wise(X0)) <=> wise(X0)) [input p2]
5. (funny(susan) | ~generous(susan)) <=> ? [X0] : ~curious(X0) [... | 0 |
If someone is both happy and not calm then someone is not quiet or old.
If fred is not curious or not patient then susan is funny or not humble.
If mary is not brave then someone is both not brave and rich and vice versa.
If someone is not funny or not humble then fred is not old.
If paul is either rich or not strong t... | Mary is not tall. | entailment | ((?[X]:((happy(X)&~calm(X))))=>(?[X]:((~quiet(X)|old(X)))))&
(((~curious(fred)|~patient(fred)))=>((funny(susan)|~humble(susan))))&
((~brave(mary))<=>(?[X]:((~brave(X)&rich(X)))))&
((?[X]:((~funny(X)|~humble(X))))=>(~old(fred)))&
(((rich(paul)<~>~strong(paul)))<=>((~brave(paul)|strong(paul))))&
((~strong(alice))<=>((cre... | ~tall(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2969109732891272601481251
% SZS output start Proof for 2969109732891272601481251
8. ! [X0] : (tall(X0) <=> (~tall(X0) & ~calm(X0))) [input p7]
23. tall(mary) [input hypothesis]
47. ! [X0] : ((tall(X0) | (tall(X0) | calm(X0))) & ((~tall(X0) & ~calm(X0)) | ~tall(X0))) [nnf transformation 8]... | 0 |
Everyone who is either not generous or generous is not old.
Everyone who is not old is funny.
If someone is either not kind or not brave then lucy is not patient or not calm and vice versa.
Everyone who is both not wise and strong is either not creative or not humble.
Everyone who is not calm is both curious and calm.
... | Lucy is quiet. | contradiction | (![X]:((~generous(X)<~>generous(X))=>~old(X)))&
(![X]:(~old(X)=>funny(X)))&
((?[X]:((~kind(X)<~>~brave(X))))<=>((~patient(lucy)|~calm(lucy))))&
(![X]:((~wise(X)&strong(X))=>(~creative(X)<~>~humble(X))))&
(![X]:(~calm(X)=>(curious(X)&calm(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~wise(X)&tall(X)))))&
(((~wise(fred)<~>~happy(f... | quiet(lucy) | [
"p0",
"p1",
"p4",
"p10",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3570034697919125754811083
% SZS output start Proof for 3570034697919125754811083
1. ! [X0] : ((~generous(X0) <~> generous(X0)) => ~old(X0)) [input p0]
2. ! [X0] : (~old(X0) => funny(X0)) [input p1]
5. ! [X0] : (~calm(X0) => (calm(X0) & curious(X0))) [input p4]
11. ! [X0] : ((~rich(X0) <~>... | 0 |
If susan is either not generous or not patient then someone is either wise or not tall and vice versa.
Everyone who is brave or not patient is not generous.
Everyone who is not patient or not rich is both happy and not old and vice versa.
Everyone who is both not rich and not brave is not wise or rich.
If paul is kind ... | Mary is strong. | neutral | (((~generous(susan)<~>~patient(susan)))<=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:((brave(X)|~patient(X))=>~generous(X)))&
(![X]:((~patient(X)|~rich(X))<=>(happy(X)&~old(X))))&
(![X]:((~rich(X)&~brave(X))=>(~wise(X)|rich(X))))&
((kind(paul))=>((kind(paul)<~>~old(paul))))&
(![X]:((~patient(X)|rich(X))<=>(~patient(X)<~>~ca... | strong(mary) | [] | null | 0 |
Everyone who is creative or not generous is both rich and not patient.
If alice is both curious and not kind then someone is both calm and not generous.
If someone is tall then someone is either wise or creative.
If fred is not quiet or not kind then someone is not rich.
Everyone who is patient or happy is either not f... | John is kind. | entailment | (![X]:((creative(X)|~generous(X))=>(rich(X)&~patient(X))))&
(((curious(alice)&~kind(alice)))=>(?[X]:((calm(X)&~generous(X)))))&
((?[X]:(tall(X)))=>(?[X]:((wise(X)<~>creative(X)))))&
(((~quiet(fred)|~kind(fred)))=>(?[X]:(~rich(X))))&
(![X]:((patient(X)|happy(X))<=>(~funny(X)<~>~wise(X))))&
(![X]:((quiet(X)&generous(X))<... | kind(john) | [
"p0",
"p11",
"p12",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 738156819401421869167615
% SZS output start Proof for 738156819401421869167615
1. ! [X0] : ((~generous(X0) | creative(X0)) => (~patient(X0) & rich(X0))) [input p0]
12. ! [X0] : ((~calm(X0) & strong(X0)) <=> (kind(X0) & ~humble(X0))) [input p11]
13. ! [X0] : ((~strong(X0) | patient(X0)) =>... | 0 |
Everyone who is generous or not humble is either creative or wise. Everyone who is both strong and not patient is wise and vice versa. Everyone who is both creative and not old is both not creative and not quiet and vice versa. Everyone who is both not calm and not humble is not wise or funny and vice versa. If paul is... | John is tall. | contradiction | (![X]:((generous(X)|~humble(X))=>(creative(X)<~>wise(X))))&
(![X]:((strong(X)&~patient(X))<=>wise(X)))&
(![X]:((creative(X)&~old(X))<=>(~creative(X)&~quiet(X))))&
(![X]:((~calm(X)&~humble(X))<=>(~wise(X)|funny(X))))&
(((~funny(paul)<~>tall(paul)))=>(?[X]:((~humble(X)&humble(X)))))&
(![X]:((curious(X)|old(X))=>(curious(... | tall(john) | [
"p1",
"p2",
"p3",
"p7",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8147956023251126339810261
% SZS output start Proof for 8147956023251126339810261
2. ! [X0] : ((~patient(X0) & strong(X0)) <=> wise(X0)) [input p1]
3. ! [X0] : ((~old(X0) & creative(X0)) <=> (~quiet(X0) & ~creative(X0))) [input p2]
4. ! [X0] : ((~humble(X0) & ~calm(X0)) <=> (funny(X0) | ~w... | 0 |
If someone is both wise and calm then someone is funny or brave and vice versa.
If someone is both not old and not wise then someone is not humble and vice versa.
Everyone who is either not wise or not patient is old.
Everyone who is patient is kind and vice versa.
Everyone who is both not old and kind is happy or quie... | Lucy is patient. | neutral | ((?[X]:((wise(X)&calm(X))))<=>(?[X]:((funny(X)|brave(X)))))&
((?[X]:((~old(X)&~wise(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~wise(X)<~>~patient(X))=>old(X)))&
(![X]:(patient(X)<=>kind(X)))&
(![X]:((~old(X)&kind(X))<=>(happy(X)|quiet(X))))&
(((humble(lucy)<~>~tall(lucy)))=>((~humble(john)<~>~curious(john))))&
(![X]:((crea... | patient(lucy) | [] | null | 0 |
Everyone who is old or funny is not old and vice versa. If someone is not humble or not generous then someone is both not humble and kind and vice versa. Everyone who is not quiet is both happy and humble. If someone is both not brave and not quiet then john is both not strong and kind and vice versa. If mary is not cr... | Paul is not curious. | contradiction | (![X]:((old(X)|funny(X))<=>~old(X)))&
((?[X]:((~humble(X)|~generous(X))))<=>(?[X]:((~humble(X)&kind(X)))))&
(![X]:(~quiet(X)=>(happy(X)&humble(X))))&
((?[X]:((~brave(X)&~quiet(X))))<=>((~strong(john)&kind(john))))&
(((~creative(mary)|~quiet(mary)))<=>(?[X]:((~wise(X)&curious(X)))))&
(((~generous(lucy)<~>~calm(lucy)))=>... | ~curious(paul) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3598590897920275682634450
% SZS output start Proof for 3598590897920275682634450
1. ! [X0] : ((funny(X0) | old(X0)) <=> ~old(X0)) [input p0]
7. ! [X0] : ((~old(X0) & ~curious(X0)) <=> (strong(X0) & creative(X0))) [input p6]
12. ! [X0] : ((rich(X0) | strong(X0)) <=> (old(X0) & funny(X0))) ... | 0 |
Everyone who is both happy and not creative is happy and vice versa.
Everyone who is either not tall or not patient is both patient and not creative.
Everyone who is both not strong and quiet is wise and vice versa.
Everyone who is not creative or not brave is either creative or not brave and vice versa.
If fred is eit... | Fred is happy. | contradiction | (![X]:((happy(X)&~creative(X))<=>happy(X)))&
(![X]:((~tall(X)<~>~patient(X))=>(patient(X)&~creative(X))))&
(![X]:((~strong(X)&quiet(X))<=>wise(X)))&
(![X]:((~creative(X)|~brave(X))<=>(creative(X)<~>~brave(X))))&
(((~kind(fred)<~>patient(fred)))=>(?[X]:((~curious(X)<~>~kind(X)))))&
((~tall(lucy))=>(?[X]:(curious(X))))&
... | happy(fred) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8074743979753037962651714
% SZS output start Proof for 8074743979753037962651714
4. ! [X0] : ((~brave(X0) | ~creative(X0)) <=> (creative(X0) <~> ~brave(X0))) [input p3]
8. ! [X0] : ((brave(X0) | ~creative(X0)) <=> (creative(X0) <~> ~happy(X0))) [input p7]
25. happy(fred) [input hypothesis... | 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... | Fred is not kind. | neutral | (![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(... | ~kind(fred) | [] | null | 0 |
Everyone who is both happy and not kind is either not quiet or old.
If mary is both brave and wise then someone is either not happy or creative.
Everyone who is not curious is both patient and not calm and vice versa.
If someone is not calm then someone is both not funny and generous and vice versa.
If someone is eithe... | Mary is curious. | entailment | (![X]:((happy(X)&~kind(X))=>(~quiet(X)<~>old(X))))&
(((brave(mary)&wise(mary)))=>(?[X]:((~happy(X)<~>creative(X)))))&
(![X]:(~curious(X)<=>(patient(X)&~calm(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~funny(X)&generous(X)))))&
((?[X]:((~curious(X)<~>~calm(X))))=>(?[X]:(~generous(X))))&
(![X]:(funny(X)<=>(old(X)&~curious(X))))... | curious(mary) | [
"p2",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6995691808391913114955950
% SZS output start Proof for 6995691808391913114955950
3. ! [X0] : (~curious(X0) <=> (~calm(X0) & patient(X0))) [input p2]
9. ! [X0] : ((happy(X0) & creative(X0)) <=> ~creative(X0)) [input p8]
15. ! [X0] : ((~quiet(X0) | patient(X0)) => (~strong(X0) & happy(X0)))... | 0 |
Everyone who is both not calm and calm is not generous. If john is either not calm or not old then someone is both not patient and not quiet. If someone is both old and strong then someone is patient or not brave and vice versa. If someone is both not quiet and quiet then someone is either calm or happy and vice versa.... | John is not funny. | entailment | (![X]:((~calm(X)&calm(X))=>~generous(X)))&
(((~calm(john)<~>~old(john)))=>(?[X]:((~patient(X)&~quiet(X)))))&
((?[X]:((old(X)&strong(X))))<=>(?[X]:((patient(X)|~brave(X)))))&
((?[X]:((~quiet(X)&quiet(X))))<=>(?[X]:((calm(X)<~>happy(X)))))&
(![X]:((~strong(X)&happy(X))=>~tall(X)))&
((?[X]:((~quiet(X)&quiet(X))))<=>(funny... | ~funny(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7689639050945581734331532
% SZS output start Proof for 7689639050945581734331532
6. ? [X0] : (quiet(X0) & ~quiet(X0)) <=> funny(john) [input p5]
25. funny(john) [input hypothesis]
54. (? [X0] : (quiet(X0) & ~quiet(X0)) | ~funny(john)) & (funny(john) | ! [X0] : (~quiet(X0) | quiet(X0))) [n... | 0 |
If lucy is either tall or not quiet then someone is not calm and vice versa.
Everyone who is both not old and creative is either not kind or strong and vice versa.
Everyone who is either not humble or not brave is both not curious and not kind.
If someone is both not curious and not brave then someone is not humble and... | Susan is not wise. | entailment | (((tall(lucy)<~>~quiet(lucy)))<=>(?[X]:(~calm(X))))&
(![X]:((~old(X)&creative(X))<=>(~kind(X)<~>strong(X))))&
(![X]:((~humble(X)<~>~brave(X))=>(~curious(X)&~kind(X))))&
((?[X]:((~curious(X)&~brave(X))))<=>(?[X]:(~humble(X))))&
((?[X]:(quiet(X)))<=>(?[X]:(calm(X))))&
((funny(susan))<=>(?[X]:((~wise(X)<~>~humble(X)))))&
... | ~wise(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 629878112514484984538244
% SZS output start Proof for 629878112514484984538244
14. ! [X0] : (wise(X0) => (~calm(X0) & ~wise(X0))) [input p13]
25. wise(susan) [input hypothesis]
36. ! [X0] : ((~calm(X0) & ~wise(X0)) | ~wise(X0)) [ennf transformation 14]
129. ~wise(X0) | ~wise(X0) [cnf tran... | 0 |
If someone is either not calm or not strong then susan is kind. Everyone who is rich or not creative is both tall and not quiet. If someone is either not brave or creative then susan is not rich. If someone is not kind then someone is strong or curious and vice versa. Everyone who is curious is either patient or humble... | Fred is patient. | contradiction | ((?[X]:((~calm(X)<~>~strong(X))))=>(kind(susan)))&
(![X]:((rich(X)|~creative(X))=>(tall(X)&~quiet(X))))&
((?[X]:((~brave(X)<~>creative(X))))=>(~rich(susan)))&
((?[X]:(~kind(X)))<=>(?[X]:((strong(X)|curious(X)))))&
(![X]:(curious(X)=>(patient(X)<~>humble(X))))&
(![X]:((~happy(X)<~>~curious(X))<=>~humble(X)))&
(![X]:((st... | patient(fred) | [
"p9",
"p12",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2917451132425934125849701
% SZS output start Proof for 2917451132425934125849701
10. ! [X0] : ((~wise(X0) | rich(X0)) <=> ~kind(X0)) [input p9]
13. ! [X0] : (~rich(X0) => (strong(X0) <~> ~patient(X0))) [input p12]
22. ~patient(fred) | kind(fred) [input p21]
23. ~strong(fred) [input p22]
2... | 0 |
Everyone who is creative or not patient is both not generous and calm.
Everyone who is creative or not quiet is both happy and quiet and vice versa.
Everyone who is not generous is calm or not wise.
If susan is not wise then someone is not tall and vice versa.
If someone is either kind or humble then someone is not str... | Susan is creative. | entailment | (![X]:((creative(X)|~patient(X))=>(~generous(X)&calm(X))))&
(![X]:((creative(X)|~quiet(X))<=>(happy(X)&quiet(X))))&
(![X]:(~generous(X)=>(calm(X)|~wise(X))))&
((~wise(susan))<=>(?[X]:(~tall(X))))&
((?[X]:((kind(X)<~>humble(X))))<=>(?[X]:((~strong(X)|humble(X)))))&
(![X]:(~creative(X)<=>(generous(X)&~creative(X))))&
((?... | creative(susan) | [
"p0",
"p1",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5106099205007664439488316
% SZS output start Proof for 5106099205007664439488316
1. ! [X0] : ((~patient(X0) | creative(X0)) => (calm(X0) & ~generous(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (quiet(X0) & happy(X0))) [input p1]
6. ! [X0] : (~creative(X0) <=> (~creative(... | 0 |
If someone is both not strong and brave then someone is either strong or not strong and vice versa.
If paul is either not happy or not calm then someone is both creative and calm.
If fred is both not wise and brave then john is not old or not wise.
If someone is either tall or not tall then someone is calm or not gener... | Mary is not funny. | contradiction | ((?[X]:((~strong(X)&brave(X))))<=>(?[X]:((strong(X)<~>~strong(X)))))&
(((~happy(paul)<~>~calm(paul)))=>(?[X]:((creative(X)&calm(X)))))&
(((~wise(fred)&brave(fred)))=>((~old(john)|~wise(john))))&
((?[X]:((tall(X)<~>~tall(X))))<=>(?[X]:((calm(X)|~generous(X)))))&
(![X]:((~calm(X)|~generous(X))<=>~rich(X)))&
(![X]:((~pati... | ~funny(mary) | [
"p6",
"p11",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 352147725683244267529645
% SZS output start Proof for 352147725683244267529645
7. ! [X0] : ((~calm(X0) | ~rich(X0)) <=> funny(X0)) [input p6]
12. ! [X0] : ((generous(X0) & ~rich(X0)) <=> (patient(X0) | ~strong(X0))) [input p11]
16. ! [X0] : ((~kind(X0) | ~patient(X0)) <=> (quiet(X0) & ~ol... | 0 |
Everyone who is either tall or strong is not generous and vice versa.
If someone is either not curious or old then someone is both not old and generous and vice versa.
If someone is both generous and not curious then someone is not funny and vice versa.
If john is creative or rich then someone is not strong.
If someone... | Paul is happy. | entailment | (![X]:((tall(X)<~>strong(X))<=>~generous(X)))&
((?[X]:((~curious(X)<~>old(X))))<=>(?[X]:((~old(X)&generous(X)))))&
((?[X]:((generous(X)&~curious(X))))<=>(?[X]:(~funny(X))))&
(((creative(john)|rich(john)))=>(?[X]:(~strong(X))))&
((?[X]:((tall(X)&strong(X))))=>(?[X]:((~happy(X)&rich(X)))))&
(![X]:((~patient(X)<~>~brave(X... | happy(paul) | [
"p0",
"p4",
"p7",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 730153847113622209692493
% SZS output start Proof for 730153847113622209692493
1. ! [X0] : ((tall(X0) <~> strong(X0)) <=> ~generous(X0)) [input p0]
5. ? [X0] : (strong(X0) & tall(X0)) => ? [X0] : (rich(X0) & ~happy(X0)) [input p4]
8. (rich(paul) & strong(paul)) <=> ? [X0] : (~creative(X0)... | 0 |
Everyone who is not old is not tall or calm and vice versa.
If fred is either not generous or tall then someone is not creative.
Everyone who is either not kind or funny is not funny.
Everyone who is not patient or old is not brave or quiet and vice versa.
If someone is creative or generous then someone is either not s... | Susan is not calm. | contradiction | (![X]:(~old(X)<=>(~tall(X)|calm(X))))&
(((~generous(fred)<~>tall(fred)))=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)<~>funny(X))=>~funny(X)))&
(![X]:((~patient(X)|old(X))<=>(~brave(X)|quiet(X))))&
((?[X]:((creative(X)|generous(X))))<=>(?[X]:((~strong(X)<~>~creative(X)))))&
(![X]:((~happy(X)|~curious(X))<=>(generous(X)<~>... | ~calm(susan) | [
"p0",
"p3",
"p5",
"p6",
"p7",
"p9",
"p10",
"p11",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2037615990083691164599733
% SZS output start Proof for 2037615990083691164599733
1. ! [X0] : (~old(X0) <=> (calm(X0) | ~tall(X0))) [input p0]
4. ! [X0] : ((old(X0) | ~patient(X0)) <=> (quiet(X0) | ~brave(X0))) [input p3]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> (generous(X0) <~> ~old(... | 0 |
If someone is either not curious or not old then lucy is not patient or strong and vice versa.
Everyone who is not wise is either not tall or tall and vice versa.
Everyone who is not funny or creative is either wise or happy.
If someone is either not brave or not funny then someone is either generous or not tall.
If so... | John is not strong. | contradiction | ((?[X]:((~curious(X)<~>~old(X))))<=>((~patient(lucy)|strong(lucy))))&
(![X]:(~wise(X)<=>(~tall(X)<~>tall(X))))&
(![X]:((~funny(X)|creative(X))=>(wise(X)<~>happy(X))))&
((?[X]:((~brave(X)<~>~funny(X))))=>(?[X]:((generous(X)<~>~tall(X)))))&
((?[X]:((~calm(X)|~tall(X))))=>(?[X]:((humble(X)<~>~humble(X)))))&
(![X]:((~rich(... | ~strong(john) | [
"p1",
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7875209320392970328345391
% SZS output start Proof for 7875209320392970328345391
2. ! [X0] : (~wise(X0) <=> (~tall(X0) <~> tall(X0))) [input p1]
7. ! [X0] : ((wise(X0) <~> funny(X0)) <=> calm(X0)) [input p6]
9. ? [X0] : (quiet(X0) <~> funny(X0)) => ~quiet(alice) [input p8]
12. ! [X0] : ((... | 0 |
If someone is both not happy and not humble then someone is funny or strong and vice versa.
Everyone who is tall or not wise is not generous and vice versa.
Everyone who is old is either not happy or old and vice versa.
If someone is funny then someone is both not creative and creative.
Everyone who is happy is both ge... | Susan is not tall. | entailment | ((?[X]:((~happy(X)&~humble(X))))<=>(?[X]:((funny(X)|strong(X)))))&
(![X]:((tall(X)|~wise(X))<=>~generous(X)))&
(![X]:(old(X)<=>(~happy(X)<~>old(X))))&
((?[X]:(funny(X)))=>(?[X]:((~creative(X)&creative(X)))))&
(![X]:(happy(X)<=>(generous(X)&patient(X))))&
((?[X]:((~happy(X)|~calm(X))))<=>(?[X]:((strong(X)|curious(X)))))... | ~tall(susan) | [
"p1",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2446925082323453626619865
% SZS output start Proof for 2446925082323453626619865
2. ! [X0] : ((~wise(X0) | tall(X0)) <=> ~generous(X0)) [input p1]
3. ! [X0] : (old(X0) <=> (~happy(X0) <~> old(X0))) [input p2]
5. ! [X0] : (happy(X0) <=> (patient(X0) & generous(X0))) [input p4]
22. tall(sus... | 0 |
Everyone who is not wise is either calm or funny and vice versa.
If mary is not kind then someone is both calm and old.
If someone is either not calm or not tall then someone is either tall or not rich.
Everyone who is old or not calm is either not brave or creative and vice versa.
Everyone who is either not wise or st... | Alice is not curious. | neutral | (![X]:(~wise(X)<=>(calm(X)<~>funny(X))))&
((~kind(mary))=>(?[X]:((calm(X)&old(X)))))&
((?[X]:((~calm(X)<~>~tall(X))))=>(?[X]:((tall(X)<~>~rich(X)))))&
(![X]:((old(X)|~calm(X))<=>(~brave(X)<~>creative(X))))&
(![X]:((~wise(X)<~>strong(X))=>(kind(X)|~brave(X))))&
(![X]:((~patient(X)&rich(X))=>(old(X)|~strong(X))))&
((?[X]... | ~curious(alice) | [] | null | 0 |
Everyone who is not humble is not generous or strong.
Everyone who is not curious is kind.
Everyone who is both not funny and patient is both not wise and not brave.
Everyone who is not creative or not funny is both not quiet and not patient and vice versa.
If someone is not patient or quiet then someone is rich and vi... | John is strong. | entailment | (![X]:(~humble(X)=>(~generous(X)|strong(X))))&
(![X]:(~curious(X)=>kind(X)))&
(![X]:((~funny(X)&patient(X))=>(~wise(X)&~brave(X))))&
(![X]:((~creative(X)|~funny(X))<=>(~quiet(X)&~patient(X))))&
((?[X]:((~patient(X)|quiet(X))))<=>(?[X]:(rich(X))))&
(![X]:((~old(X)&calm(X))<=>(patient(X)|~tall(X))))&
((?[X]:((~kind(X)|~h... | strong(john) | [
"p3",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 310129172383790034624918
% SZS output start Proof for 310129172383790034624918
4. ! [X0] : ((~funny(X0) | ~creative(X0)) <=> (~patient(X0) & ~quiet(X0))) [input p3]
15. ! [X0] : ((~quiet(X0) | wise(X0)) <=> (strong(X0) & ~curious(X0))) [input p14]
22. funny(john) <~> quiet(john) [input p2... | 0 |
Everyone who is not old is not calm and vice versa.
If someone is not curious then someone is not brave or not happy and vice versa.
Everyone who is not strong or kind is either old or not generous.
Everyone who is wise is either not rich or old and vice versa.
Everyone who is either brave or patient is either not kind... | Fred is patient. | entailment | (![X]:(~old(X)<=>~calm(X)))&
((?[X]:(~curious(X)))<=>(?[X]:((~brave(X)|~happy(X)))))&
(![X]:((~strong(X)|kind(X))=>(old(X)<~>~generous(X))))&
(![X]:(wise(X)<=>(~rich(X)<~>old(X))))&
(![X]:((brave(X)<~>patient(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((wise(X)|~brave(X))<=>(~strong(X)|funny(X))))&
((~old(fred))<=>((kind(... | patient(fred) | [
"p2",
"p3",
"p7",
"p8",
"p9",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8524052374379481132284110
% SZS output start Proof for 8524052374379481132284110
3. ! [X0] : ((kind(X0) | ~strong(X0)) => (old(X0) <~> ~generous(X0))) [input p2]
4. ! [X0] : (wise(X0) <=> (~rich(X0) <~> old(X0))) [input p3]
8. ! [X0] : ((~happy(X0) | calm(X0)) => (generous(X0) | happy(X0)... | 0 |
If paul is not tall or tall then mary is not wise or strong. If susan is either strong or not generous then mary is wise. If someone is kind then fred is patient or creative. Everyone who is calm is both old and not calm and vice versa. Everyone who is both strong and not generous is strong or brave. Everyone who is ei... | Paul is tall. | contradiction | (((~tall(paul)|tall(paul)))=>((~wise(mary)|strong(mary))))&
(((strong(susan)<~>~generous(susan)))=>(wise(mary)))&
((?[X]:(kind(X)))=>((patient(fred)|creative(fred))))&
(![X]:(calm(X)<=>(old(X)&~calm(X))))&
(![X]:((strong(X)&~generous(X))=>(strong(X)|brave(X))))&
(![X]:((generous(X)<~>rich(X))=>(creative(X)&rich(X))))&
... | tall(paul) | [
"p3",
"p5",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6472957495424777430454294
% SZS output start Proof for 6472957495424777430454294
4. ! [X0] : (calm(X0) <=> (~calm(X0) & old(X0))) [input p3]
6. ! [X0] : ((generous(X0) <~> rich(X0)) => (rich(X0) & creative(X0))) [input p5]
12. ! [X0] : ((~happy(X0) | ~generous(X0)) => (~brave(X0) & ~tall(... | 0 |
If someone is not brave or not rich then susan is generous and vice versa. Everyone who is both wise and funny is both strong and wise and vice versa. Everyone who is not rich is either not curious or quiet. If someone is calm then alice is both not calm and not quiet. Everyone who is not happy is not rich and vice ver... | Susan is not happy. | neutral | ((?[X]:((~brave(X)|~rich(X))))<=>(generous(susan)))&
(![X]:((wise(X)&funny(X))<=>(strong(X)&wise(X))))&
(![X]:(~rich(X)=>(~curious(X)<~>quiet(X))))&
((?[X]:(calm(X)))=>((~calm(alice)&~quiet(alice))))&
(![X]:(~happy(X)<=>~rich(X)))&
(((strong(mary)<~>old(mary)))=>(?[X]:(~happy(X))))&
((?[X]:(funny(X)))<=>((~brave(john)|... | ~happy(susan) | [] | null | 0 |
If someone is both curious and not wise then john is not patient.
Everyone who is curious or not kind is old.
If fred is not brave then fred is either tall or not old.
Everyone who is curious or rich is either humble or patient and vice versa.
Everyone who is kind is not curious or not tall.
Everyone who is not humble ... | John is funny. | contradiction | ((?[X]:((curious(X)&~wise(X))))=>(~patient(john)))&
(![X]:((curious(X)|~kind(X))=>old(X)))&
((~brave(fred))=>((tall(fred)<~>~old(fred))))&
(![X]:((curious(X)|rich(X))<=>(humble(X)<~>patient(X))))&
(![X]:(kind(X)=>(~curious(X)|~tall(X))))&
(![X]:((~humble(X)|~quiet(X))=>(brave(X)&strong(X))))&
(((~creative(lucy)<~>wise(... | funny(john) | [
"p5",
"p9",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8432954507486544111140843
% SZS output start Proof for 8432954507486544111140843
6. ! [X0] : ((~quiet(X0) | ~humble(X0)) => (strong(X0) & brave(X0))) [input p5]
10. ! [X0] : ((~patient(X0) | calm(X0)) <=> (funny(X0) <~> quiet(X0))) [input p9]
14. ! [X0] : (strong(X0) => (funny(X0) <~> bra... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.