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 either old or wise then lucy is old.
If fred is both not creative and not happy then susan is either not patient or curious and vice versa.
Everyone who is both not quiet and curious is either wise or kind and vice versa.
If someone is calm then alice is both creative and tall and vice versa.
Everyone who... | Paul is not old. | neutral | ((?[X]:((old(X)<~>wise(X))))=>(old(lucy)))&
(((~creative(fred)&~happy(fred)))<=>((~patient(susan)<~>curious(susan))))&
(![X]:((~quiet(X)&curious(X))<=>(wise(X)<~>kind(X))))&
((?[X]:(calm(X)))<=>((creative(alice)&tall(alice))))&
(![X]:((~patient(X)&funny(X))=>(brave(X)<~>funny(X))))&
(![X]:((tall(X)<~>~generous(X))=>(~c... | ~old(paul) | [] | null | 0 |
If lucy is either not creative or not quiet then john is both tall and not strong. Everyone who is either old or quiet is not old or not kind. If someone is both not patient and strong then paul is quiet or funny and vice versa. Everyone who is either not tall or funny is not funny or not tall and vice versa. Everyone ... | Paul is not old. | contradiction | (((~creative(lucy)<~>~quiet(lucy)))=>((tall(john)&~strong(john))))&
(![X]:((old(X)<~>quiet(X))=>(~old(X)|~kind(X))))&
((?[X]:((~patient(X)&strong(X))))<=>((quiet(paul)|funny(paul))))&
(![X]:((~tall(X)<~>funny(X))<=>(~funny(X)|~tall(X))))&
(![X]:((old(X)<~>~wise(X))<=>(kind(X)<~>~tall(X))))&
(![X]:((~happy(X)&old(X))=>(... | ~old(paul) | [
"p3",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 406782796752087477253365
% SZS output start Proof for 406782796752087477253365
4. ! [X0] : ((~tall(X0) <~> funny(X0)) <=> (~tall(X0) | ~funny(X0))) [input p3]
5. ! [X0] : ((old(X0) <~> ~wise(X0)) <=> (kind(X0) <~> ~tall(X0))) [input p4]
9. ! [X0] : ((~kind(X0) & wise(X0)) <=> (~funny(X0) ... | 0 |
If someone is tall or kind then alice is both not patient and not strong and vice versa. Everyone who is both not quiet and not curious is kind or curious and vice versa. If someone is old then fred is not humble and vice versa. Everyone who is tall is generous and vice versa. If someone is both curious and funny then ... | Paul is patient. | entailment | ((?[X]:((tall(X)|kind(X))))<=>((~patient(alice)&~strong(alice))))&
(![X]:((~quiet(X)&~curious(X))<=>(kind(X)|curious(X))))&
((?[X]:(old(X)))<=>(~humble(fred)))&
(![X]:(tall(X)<=>generous(X)))&
((?[X]:((curious(X)&funny(X))))<=>(?[X]:((curious(X)<~>~humble(X)))))&
(((~wise(paul)&~kind(paul)))<=>(?[X]:((~rich(X)|~calm(X)... | patient(paul) | [
"p1",
"p2",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2564901414535825817325135
% SZS output start Proof for 2564901414535825817325135
2. ! [X0] : ((~curious(X0) & ~quiet(X0)) <=> (curious(X0) | kind(X0))) [input p1]
3. ? [X0] : old(X0) <=> ~humble(fred) [input p2]
5. ? [X0] : (funny(X0) & curious(X0)) <=> ? [X0] : (curious(X0) <~> ~humble(X... | 0 |
If someone is not strong then someone is both wise and rich and vice versa.
Everyone who is not curious is either wise or not brave and vice versa.
If alice is both not wise and not calm then john is not tall or not wise.
Everyone who is either not happy or not brave is creative or not rich.
Everyone who is both not ki... | Susan is not humble. | entailment | ((?[X]:(~strong(X)))<=>(?[X]:((wise(X)&rich(X)))))&
(![X]:(~curious(X)<=>(wise(X)<~>~brave(X))))&
(((~wise(alice)&~calm(alice)))=>((~tall(john)|~wise(john))))&
(![X]:((~happy(X)<~>~brave(X))=>(creative(X)|~rich(X))))&
(![X]:((~kind(X)&happy(X))<=>(tall(X)|wise(X))))&
(![X]:((old(X)<~>brave(X))<=>~old(X)))&
(![X]:((tall... | ~humble(susan) | [
"p4",
"p8",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 563316049620433912135950
% SZS output start Proof for 563316049620433912135950
5. ! [X0] : ((happy(X0) & ~kind(X0)) <=> (wise(X0) | tall(X0))) [input p4]
9. ! [X0] : ((strong(X0) & humble(X0)) => (kind(X0) & brave(X0))) [input p8]
14. ? [X0] : (~wise(X0) | curious(X0)) => (~creative(john)... | 0 |
Everyone who is not old or funny is either not wise or not humble. If someone is happy then john is both patient and not rich. If mary is funny then someone is either not old or not happy. If alice is curious then someone is generous. If someone is humble then alice is both quiet and not old and vice versa. Everyone wh... | John is rich. | contradiction | (![X]:((~old(X)|funny(X))=>(~wise(X)<~>~humble(X))))&
((?[X]:(happy(X)))=>((patient(john)&~rich(john))))&
((funny(mary))=>(?[X]:((~old(X)<~>~happy(X)))))&
((curious(alice))=>(?[X]:(generous(X))))&
((?[X]:(humble(X)))<=>((quiet(alice)&~old(alice))))&
(![X]:((~humble(X)<~>~creative(X))=>~calm(X)))&
(((rich(paul)<~>~patie... | rich(john) | [
"p1",
"p5",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 163712418843620481883135
% SZS output start Proof for 163712418843620481883135
2. ? [X0] : happy(X0) => (~rich(john) & patient(john)) [input p1]
6. ! [X0] : ((~humble(X0) <~> ~creative(X0)) => ~calm(X0)) [input p5]
13. ! [X0] : ((calm(X0) | creative(X0)) => (~creative(X0) <~> ~happy(X0)))... | 0 |
Everyone who is not generous or rich is calm or not rich.
Everyone who is generous is both not happy and not curious and vice versa.
Everyone who is either calm or humble is either not wise or generous.
If someone is either kind or old then someone is not funny or kind and vice versa.
Everyone who is not generous or ha... | Paul is not strong. | entailment | (![X]:((~generous(X)|rich(X))=>(calm(X)|~rich(X))))&
(![X]:(generous(X)<=>(~happy(X)&~curious(X))))&
(![X]:((calm(X)<~>humble(X))=>(~wise(X)<~>generous(X))))&
((?[X]:((kind(X)<~>old(X))))<=>(?[X]:((~funny(X)|kind(X)))))&
(![X]:((~generous(X)|happy(X))=>(tall(X)<~>~wise(X))))&
(((tall(paul)<~>creative(paul)))<=>(?[X]:((... | ~strong(paul) | [
"p1",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 162909651237086394432798
% SZS output start Proof for 162909651237086394432798
2. ! [X0] : (generous(X0) <=> (~curious(X0) & ~happy(X0))) [input p1]
9. ! [X0] : (~funny(X0) => (old(X0) & happy(X0))) [input p8]
15. ! [X0] : ((brave(X0) | strong(X0)) => (~funny(X0) & generous(X0))) [input p... | 0 |
Everyone who is both not rich and not brave is both happy and not humble and vice versa.
Everyone who is old is not rich and vice versa.
Everyone who is either not curious or strong is either funny or not kind.
If alice is patient then paul is either not kind or not humble.
If someone is either rich or not funny then s... | Lucy is strong. | neutral | (![X]:((~rich(X)&~brave(X))<=>(happy(X)&~humble(X))))&
(![X]:(old(X)<=>~rich(X)))&
(![X]:((~curious(X)<~>strong(X))=>(funny(X)<~>~kind(X))))&
((patient(alice))=>((~kind(paul)<~>~humble(paul))))&
((?[X]:((rich(X)<~>~funny(X))))<=>(~happy(susan)))&
((?[X]:(brave(X)))=>((humble(john)|brave(john))))&
(((~old(mary)&~rich(ma... | strong(lucy) | [] | null | 0 |
If mary is both tall and funny then someone is either not creative or not rich and vice versa.
If someone is not creative then someone is both tall and brave and vice versa.
If lucy is either not happy or not curious then someone is either old or not happy and vice versa.
If paul is curious or not happy then someone is... | Susan is not rich. | entailment | (((tall(mary)&funny(mary)))<=>(?[X]:((~creative(X)<~>~rich(X)))))&
((?[X]:(~creative(X)))<=>(?[X]:((tall(X)&brave(X)))))&
(((~happy(lucy)<~>~curious(lucy)))<=>(?[X]:((old(X)<~>~happy(X)))))&
(((curious(paul)|~happy(paul)))<=>(?[X]:(~humble(X))))&
(![X]:((~humble(X)|~kind(X))=>tall(X)))&
(![X]:((curious(X)&quiet(X))=>(c... | ~rich(susan) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6961372338795044118214031
% SZS output start Proof for 6961372338795044118214031
23. old(susan) & ~rich(susan) [input p22]
25. rich(susan) [input hypothesis]
143. ~rich(susan) [cnf transformation 23]
146. rich(susan) [cnf transformation 25]
314. $false [subsumption resolution 146,143]
% S... | 0 |
If susan is both not funny and not quiet then someone is not tall. If lucy is old then someone is not wise or brave. If someone is old or tall then someone is either not humble or not strong and vice versa. If someone is tall or curious then john is both rich and patient. If someone is not patient then someone is both ... | Alice is not brave. | neutral | (((~funny(susan)&~quiet(susan)))=>(?[X]:(~tall(X))))&
((old(lucy))=>(?[X]:((~wise(X)|brave(X)))))&
((?[X]:((old(X)|tall(X))))<=>(?[X]:((~humble(X)<~>~strong(X)))))&
((?[X]:((tall(X)|curious(X))))=>((rich(john)&patient(john))))&
((?[X]:(~patient(X)))<=>(?[X]:((kind(X)&rich(X)))))&
((?[X]:((~old(X)<~>curious(X))))=>(?[X]... | ~brave(alice) | [] | null | 0 |
If someone is either not humble or not wise then someone is both not happy and wise.
If paul is not tall then alice is not brave.
Everyone who is patient is both generous and not funny.
Everyone who is strong or tall is both not humble and not generous.
If john is not strong or not kind then alice is generous.
Everyone... | Paul is not old. | contradiction | ((?[X]:((~humble(X)<~>~wise(X))))=>(?[X]:((~happy(X)&wise(X)))))&
((~tall(paul))=>(~brave(alice)))&
(![X]:(patient(X)=>(generous(X)&~funny(X))))&
(![X]:((strong(X)|tall(X))=>(~humble(X)&~generous(X))))&
(((~strong(john)|~kind(john)))=>(generous(alice)))&
(![X]:((strong(X)&~strong(X))=>(humble(X)<~>~happy(X))))&
((?[X]:... | ~old(paul) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2504515083573189154109961
% SZS output start Proof for 2504515083573189154109961
15. ! [X0] : ((~old(X0) <~> creative(X0)) <=> creative(X0)) [input p14]
24. ~old(paul) [input hypothesis]
69. ! [X0] : ((((~creative(X0) | old(X0)) & (creative(X0) | ~old(X0))) | ~creative(X0)) & (creative(X0... | 0 |
Everyone who is not rich or brave is not funny and vice versa.
If someone is both humble and strong then someone is both funny and wise and vice versa.
Everyone who is either not generous or creative is either not generous or not wise.
Everyone who is both not happy and wise is either generous or creative.
Everyone who... | Susan is rich. | entailment | (![X]:((~rich(X)|brave(X))<=>~funny(X)))&
((?[X]:((humble(X)&strong(X))))<=>(?[X]:((funny(X)&wise(X)))))&
(![X]:((~generous(X)<~>creative(X))=>(~generous(X)<~>~wise(X))))&
(![X]:((~happy(X)&wise(X))=>(generous(X)<~>creative(X))))&
(![X]:(humble(X)<=>(~creative(X)&~kind(X))))&
(((strong(alice)&tall(alice)))=>(?[X]:((~hu... | rich(susan) | [
"p0",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4009779992344663717750506
% SZS output start Proof for 4009779992344663717750506
1. ! [X0] : ((brave(X0) | ~rich(X0)) <=> ~funny(X0)) [input p0]
10. ! [X0] : ((~old(X0) & patient(X0)) <=> (~rich(X0) | ~calm(X0))) [input p9]
13. ! [X0] : (~old(X0) => (~rich(X0) <~> strong(X0))) [input p12]... | 0 |
Everyone who is not curious is both not rich and happy. Everyone who is not curious is generous and vice versa. If someone is both not humble and not curious then alice is rich or not calm. Everyone who is both not generous and brave is both not rich and happy and vice versa. If someone is both not brave and wise then ... | Mary is happy. | entailment | (![X]:(~curious(X)=>(~rich(X)&happy(X))))&
(![X]:(~curious(X)<=>generous(X)))&
((?[X]:((~humble(X)&~curious(X))))=>((rich(alice)|~calm(alice))))&
(![X]:((~generous(X)&brave(X))<=>(~rich(X)&happy(X))))&
((?[X]:((~brave(X)&wise(X))))=>(?[X]:(humble(X))))&
(![X]:(~quiet(X)=>humble(X)))&
(![X]:((~curious(X)&~humble(X))=>(~... | happy(mary) | [
"p0",
"p1",
"p3",
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7372531262376201421643343
% SZS output start Proof for 7372531262376201421643343
1. ! [X0] : (~curious(X0) => (happy(X0) & ~rich(X0))) [input p0]
2. ! [X0] : (~curious(X0) <=> generous(X0)) [input p1]
4. ! [X0] : ((brave(X0) & ~generous(X0)) <=> (happy(X0) & ~rich(X0))) [input p3]
5. ? [X... | 0 |
If someone is both not creative and humble then mary is either calm or not old and vice versa. Everyone who is either strong or old is both not creative and not curious. Everyone who is both not curious and humble is either humble or creative and vice versa. If lucy is calm then mary is not curious or curious and vice ... | Alice is curious. | neutral | ((?[X]:((~creative(X)&humble(X))))<=>((calm(mary)<~>~old(mary))))&
(![X]:((strong(X)<~>old(X))=>(~creative(X)&~curious(X))))&
(![X]:((~curious(X)&humble(X))<=>(humble(X)<~>creative(X))))&
((calm(lucy))<=>((~curious(mary)|curious(mary))))&
(![X]:((~wise(X)|strong(X))<=>~creative(X)))&
(((~brave(lucy)|~curious(lucy)))=>(... | curious(alice) | [] | null | 0 |
Everyone who is not generous is both not brave and not happy and vice versa. If john is either strong or humble then fred is both not calm and happy and vice versa. If someone is either not curious or rich then someone is not patient or wise and vice versa. Everyone who is either not strong or not creative is either ol... | Alice is not strong. | contradiction | (![X]:(~generous(X)<=>(~brave(X)&~happy(X))))&
(((strong(john)<~>humble(john)))<=>((~calm(fred)&happy(fred))))&
((?[X]:((~curious(X)<~>rich(X))))<=>(?[X]:((~patient(X)|wise(X)))))&
(![X]:((~strong(X)<~>~creative(X))=>(old(X)<~>~strong(X))))&
(![X]:((wise(X)&~old(X))<=>(~old(X)&happy(X))))&
(![X]:(creative(X)<=>(~tall(X... | ~strong(alice) | [
"p3",
"p5",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2040930219164765191643981
% SZS output start Proof for 2040930219164765191643981
4. ! [X0] : ((~strong(X0) <~> ~creative(X0)) => (old(X0) <~> ~strong(X0))) [input p3]
6. ! [X0] : (creative(X0) <=> (generous(X0) | ~tall(X0))) [input p5]
7. ! [X0] : (~old(X0) => (quiet(X0) & ~patient(X0))) ... | 0 |
If susan is either not kind or not tall then fred is not quiet or not wise and vice versa.
Everyone who is either tall or not calm is either kind or rich.
Everyone who is not generous is not strong.
If fred is not calm then someone is not funny.
Everyone who is either not brave or not old is both strong and not kind an... | Alice is not quiet. | entailment | (((~kind(susan)<~>~tall(susan)))<=>((~quiet(fred)|~wise(fred))))&
(![X]:((tall(X)<~>~calm(X))=>(kind(X)<~>rich(X))))&
(![X]:(~generous(X)=>~strong(X)))&
((~calm(fred))=>(?[X]:(~funny(X))))&
(![X]:((~brave(X)<~>~old(X))<=>(strong(X)&~kind(X))))&
(((rich(mary)|~tall(mary)))=>(~quiet(alice)))&
((?[X]:((tall(X)|~curious(X)... | ~quiet(alice) | [
"p1",
"p5",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6549819452952154045801975
% SZS output start Proof for 6549819452952154045801975
2. ! [X0] : ((tall(X0) <~> ~calm(X0)) => (kind(X0) <~> rich(X0))) [input p1]
6. (~tall(mary) | rich(mary)) => ~quiet(alice) [input p5]
15. ! [X0] : ((~calm(X0) | humble(X0)) <=> (~rich(X0) & old(X0))) [input ... | 0 |
Everyone who is strong or not creative is brave and vice versa.
If someone is either not rich or rich then someone is either calm or not creative and vice versa.
Everyone who is not funny or not curious is not strong and vice versa.
If paul is calm then someone is both not creative and not calm.
If someone is either fu... | Mary is rich. | entailment | (![X]:((strong(X)|~creative(X))<=>brave(X)))&
((?[X]:((~rich(X)<~>rich(X))))<=>(?[X]:((calm(X)<~>~creative(X)))))&
(![X]:((~funny(X)|~curious(X))<=>~strong(X)))&
((calm(paul))=>(?[X]:((~creative(X)&~calm(X)))))&
((?[X]:((funny(X)<~>~wise(X))))<=>((tall(susan)<~>old(susan))))&
(![X]:((kind(X)&strong(X))=>(generous(X)<~>... | rich(mary) | [
"p3",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2527058051005399524336788
% SZS output start Proof for 2527058051005399524336788
4. calm(paul) => ? [X0] : (~calm(X0) & ~creative(X0)) [input p3]
12. ? [X0] : (~brave(X0) <~> calm(X0)) <=> (~humble(mary) & rich(mary)) [input p11]
14. ! [X0] : ((~patient(X0) <~> brave(X0)) <=> (calm(X0) | ... | 0 |
Everyone who is both tall and patient is either not quiet or rich.
If someone is strong then someone is tall.
Everyone who is not patient is not creative or not tall.
Everyone who is both not patient and not wise is either brave or not funny.
Everyone who is both generous and not curious is calm.
If someone is not wise... | Susan is curious. | neutral | (![X]:((tall(X)&patient(X))=>(~quiet(X)<~>rich(X))))&
((?[X]:(strong(X)))=>(?[X]:(tall(X))))&
(![X]:(~patient(X)=>(~creative(X)|~tall(X))))&
(![X]:((~patient(X)&~wise(X))=>(brave(X)<~>~funny(X))))&
(![X]:((generous(X)&~curious(X))=>calm(X)))&
((?[X]:(~wise(X)))<=>((kind(susan)|~old(susan))))&
((?[X]:((funny(X)<~>genero... | curious(susan) | [] | null | 0 |
If fred is either wise or patient then john is either kind or not old and vice versa.
Everyone who is both patient and not humble is both not humble and not curious and vice versa.
If john is curious then someone is not creative or funny and vice versa.
Everyone who is either not tall or brave is not curious or not str... | Paul is happy. | contradiction | (((wise(fred)<~>patient(fred)))<=>((kind(john)<~>~old(john))))&
(![X]:((patient(X)&~humble(X))<=>(~humble(X)&~curious(X))))&
((curious(john))<=>(?[X]:((~creative(X)|funny(X)))))&
(![X]:((~tall(X)<~>brave(X))<=>(~curious(X)|~strong(X))))&
(![X]:((happy(X)<~>rich(X))<=>(~patient(X)|rich(X))))&
(((strong(fred)&wise(fred))... | happy(paul) | [
"p4",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5791179371319053906340319
% SZS output start Proof for 5791179371319053906340319
5. ! [X0] : ((happy(X0) <~> rich(X0)) <=> (rich(X0) | ~patient(X0))) [input p4]
8. ! [X0] : (~patient(X0) => (kind(X0) & funny(X0))) [input p7]
10. ! [X0] : (kind(X0) <=> (funny(X0) & ~rich(X0))) [input p9]
1... | 0 |
If fred is tall then someone is not old or not wise.
If someone is rich or not funny then paul is funny.
Everyone who is either not brave or not tall is both not creative and happy.
If someone is curious or not creative then someone is both not tall and strong.
If john is curious then fred is either not happy or not wi... | Alice is rich. | entailment | ((tall(fred))=>(?[X]:((~old(X)|~wise(X)))))&
((?[X]:((rich(X)|~funny(X))))=>(funny(paul)))&
(![X]:((~brave(X)<~>~tall(X))=>(~creative(X)&happy(X))))&
((?[X]:((curious(X)|~creative(X))))=>(?[X]:((~tall(X)&strong(X)))))&
((curious(john))<=>((~happy(fred)<~>~wise(fred))))&
(![X]:((rich(X)|~old(X))<=>(~calm(X)&~tall(X))))&... | rich(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2398740286511381304983277
% SZS output start Proof for 2398740286511381304983277
11. ! [X0] : ((rich(X0) <~> ~kind(X0)) <=> kind(X0)) [input p10]
23. ~rich(alice) [input hypothesis]
55. ! [X0] : ((((kind(X0) | ~rich(X0)) & (~kind(X0) | rich(X0))) | ~kind(X0)) & (kind(X0) | ((rich(X0) | ki... | 0 |
Everyone who is not humble is both not kind and funny and vice versa.
If alice is not humble then mary is strong or wise and vice versa.
Everyone who is both happy and not curious is both not generous and not rich and vice versa.
Everyone who is patient or humble is not funny and vice versa.
Everyone who is humble or c... | Paul is not funny. | neutral | (![X]:(~humble(X)<=>(~kind(X)&funny(X))))&
((~humble(alice))<=>((strong(mary)|wise(mary))))&
(![X]:((happy(X)&~curious(X))<=>(~generous(X)&~rich(X))))&
(![X]:((patient(X)|humble(X))<=>~funny(X)))&
(![X]:((humble(X)|curious(X))<=>(happy(X)&~patient(X))))&
(((happy(alice)&brave(alice)))<=>((~wise(susan)|old(susan))))&
((... | ~funny(paul) | [] | null | 0 |
Everyone who is either not tall or kind is not old or strong. Everyone who is both not humble and not creative is not patient or old. If susan is both not old and not tall then someone is both not happy and old. Everyone who is patient or rich is not patient and vice versa. If mary is not generous or patient then someo... | Mary is not tall. | entailment | (![X]:((~tall(X)<~>kind(X))=>(~old(X)|strong(X))))&
(![X]:((~humble(X)&~creative(X))=>(~patient(X)|old(X))))&
(((~old(susan)&~tall(susan)))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:((patient(X)|rich(X))<=>~patient(X)))&
(((~generous(mary)|patient(mary)))=>(?[X]:((quiet(X)<~>funny(X)))))&
(![X]:((~generous(X)|strong(X))=>(r... | ~tall(mary) | [
"p3",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4117229075946930097136281
% SZS output start Proof for 4117229075946930097136281
4. ! [X0] : ((rich(X0) | patient(X0)) <=> ~patient(X0)) [input p3]
8. ? [X0] : ~rich(X0) <=> ~brave(alice) [input p7]
11. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~rich(X0) & curious(X0))) [input p10]
22. ta... | 0 |
If someone is either not quiet or brave then paul is calm.
Everyone who is either patient or not funny is both not generous and curious.
If john is either brave or funny then paul is not calm.
If susan is both strong and not tall then paul is either not curious or not brave.
If someone is either not strong or generous ... | Paul is not quiet. | contradiction | ((?[X]:((~quiet(X)<~>brave(X))))=>(calm(paul)))&
(![X]:((patient(X)<~>~funny(X))=>(~generous(X)&curious(X))))&
(((brave(john)<~>funny(john)))=>(~calm(paul)))&
(((strong(susan)&~tall(susan)))=>((~curious(paul)<~>~brave(paul))))&
((?[X]:((~strong(X)<~>generous(X))))=>((happy(paul)|curious(paul))))&
(![X]:((happy(X)|~wise... | ~quiet(paul) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1356341846833381083936805
% SZS output start Proof for 1356341846833381083936805
7. ! [X0] : ((~quiet(X0) & ~curious(X0)) <=> (~quiet(X0) | ~creative(X0))) [input p6]
10. ! [X0] : ((~calm(X0) & calm(X0)) <=> ~curious(X0)) [input p9]
21. ~quiet(paul) [input hypothesis]
38. ! [X0] : (((~qui... | 0 |
Everyone who is both humble and creative is either not humble or humble and vice versa. Everyone who is humble or funny is not brave and vice versa. If paul is both rich and patient then someone is either not brave or not tall. If someone is not rich or curious then someone is both generous and tall. Everyone who is bo... | Susan is strong. | neutral | (![X]:((humble(X)&creative(X))<=>(~humble(X)<~>humble(X))))&
(![X]:((humble(X)|funny(X))<=>~brave(X)))&
(((rich(paul)&patient(paul)))=>(?[X]:((~brave(X)<~>~tall(X)))))&
((?[X]:((~rich(X)|curious(X))))=>(?[X]:((generous(X)&tall(X)))))&
(![X]:((~brave(X)&funny(X))=>(tall(X)&~curious(X))))&
(((~happy(fred)<~>~patient(fred... | strong(susan) | [] | null | 0 |
If john is both not happy and wise then john is both not humble and humble.
Everyone who is either strong or not tall is both not brave and old.
If john is tall or generous then someone is old or not quiet and vice versa.
If fred is either tall or patient then someone is generous.
If someone is not rich or not brave th... | John is not wise. | neutral | (((~happy(john)&wise(john)))=>((~humble(john)&humble(john))))&
(![X]:((strong(X)<~>~tall(X))=>(~brave(X)&old(X))))&
(((tall(john)|generous(john)))<=>(?[X]:((old(X)|~quiet(X)))))&
(((tall(fred)<~>patient(fred)))=>(?[X]:(generous(X))))&
((?[X]:((~rich(X)|~brave(X))))=>(?[X]:((brave(X)<~>rich(X)))))&
(![X]:((calm(X)<~>hap... | ~wise(john) | [] | null | 0 |
Everyone who is humble or kind is both patient and strong.
If someone is strong or brave then alice is both quiet and brave and vice versa.
Everyone who is wise or not generous is patient.
If lucy is either not tall or not patient then someone is not humble and vice versa.
Everyone who is both not patient and not happy... | Paul is funny. | contradiction | (![X]:((humble(X)|kind(X))=>(patient(X)&strong(X))))&
((?[X]:((strong(X)|brave(X))))<=>((quiet(alice)&brave(alice))))&
(![X]:((wise(X)|~generous(X))=>patient(X)))&
(((~tall(lucy)<~>~patient(lucy)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)&~happy(X))<=>~creative(X)))&
(![X]:((~creative(X)&tall(X))=>(wise(X)&happy(X))... | funny(paul) | [
"p4",
"p5",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3229791226242123874499789
% SZS output start Proof for 3229791226242123874499789
5. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> ~creative(X0)) [input p4]
6. ! [X0] : ((tall(X0) & ~creative(X0)) => (happy(X0) & wise(X0))) [input p5]
11. ! [X0] : ((~creative(X0) | kind(X0)) => (~tall(X0) & ta... | 0 |
Everyone who is rich or generous is both not funny and not quiet. Everyone who is not brave is creative or brave. If mary is either calm or not generous then someone is not tall and vice versa. If john is either not patient or tall then someone is not creative and vice versa. If susan is either patient or not tall then... | Mary is not old. | contradiction | (![X]:((rich(X)|generous(X))=>(~funny(X)&~quiet(X))))&
(![X]:(~brave(X)=>(creative(X)|brave(X))))&
(((calm(mary)<~>~generous(mary)))<=>(?[X]:(~tall(X))))&
(((~patient(john)<~>tall(john)))<=>(?[X]:(~creative(X))))&
(((patient(susan)<~>~tall(susan)))<=>((~old(fred)&~wise(fred))))&
(![X]:((funny(X)|~quiet(X))=>(generous(X... | ~old(mary) | [
"p0",
"p1",
"p5",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 412492967482614686265370
% SZS output start Proof for 412492967482614686265370
1. ! [X0] : ((generous(X0) | rich(X0)) => (~quiet(X0) & ~funny(X0))) [input p0]
2. ! [X0] : (~brave(X0) => (brave(X0) | creative(X0))) [input p1]
6. ! [X0] : ((~quiet(X0) | funny(X0)) => (generous(X0) <~> ~quie... | 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... | Alice is strong. | entailment | ((?[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(alice) | [
"p1",
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6561203145984332924746
% SZS output start Proof for 6561203145984332924746
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] : ((~quiet... | 0 |
If someone is both quiet and happy then someone is both generous and not brave and vice versa.
Everyone who is both not rich and kind is happy.
If paul is either calm or not generous then someone is not generous or brave.
If john is not strong or happy then someone is either brave or not rich and vice versa.
Everyone w... | Paul is generous. | contradiction | ((?[X]:((quiet(X)&happy(X))))<=>(?[X]:((generous(X)&~brave(X)))))&
(![X]:((~rich(X)&kind(X))=>happy(X)))&
(((calm(paul)<~>~generous(paul)))=>(?[X]:((~generous(X)|brave(X)))))&
(((~strong(john)|happy(john)))<=>(?[X]:((brave(X)<~>~rich(X)))))&
(![X]:((wise(X)<~>creative(X))<=>creative(X)))&
((?[X]:((~generous(X)&funny(X)... | generous(paul) | [
"p4",
"p6",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7953169352275712967733411
% SZS output start Proof for 7953169352275712967733411
5. ! [X0] : ((wise(X0) <~> creative(X0)) <=> creative(X0)) [input p4]
7. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> brave(X0)) [input p6]
8. ! [X0] : (patient(X0) => (generous(X0) <~> curious(X0))) [input p7]... | 0 |
Everyone who is both not happy and quiet is both not tall and curious. Everyone who is rich or tall is not brave. Everyone who is generous is old and vice versa. Everyone who is not brave is not old or not happy. If someone is both not funny and old then someone is not curious. Everyone who is rich is either humble or ... | Mary is old. | contradiction | (![X]:((~happy(X)&quiet(X))=>(~tall(X)&curious(X))))&
(![X]:((rich(X)|tall(X))=>~brave(X)))&
(![X]:(generous(X)<=>old(X)))&
(![X]:(~brave(X)=>(~old(X)|~happy(X))))&
((?[X]:((~funny(X)&old(X))))=>(?[X]:(~curious(X))))&
(![X]:(rich(X)=>(humble(X)<~>wise(X))))&
(![X]:(patient(X)<=>(~calm(X)|humble(X))))&
(((creative(lucy)... | old(mary) | [
"p1",
"p2",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2409560153388738254393585
% SZS output start Proof for 2409560153388738254393585
2. ! [X0] : ((tall(X0) | rich(X0)) => ~brave(X0)) [input p1]
3. ! [X0] : (generous(X0) <=> old(X0)) [input p2]
8. (~creative(lucy) & creative(lucy)) <=> ? [X0] : (~tall(X0) & brave(X0)) [input p7]
9. ! [X0] :... | 0 |
If someone is happy or not rich then someone is calm or not quiet.
Everyone who is not strong is both not creative and not tall and vice versa.
Everyone who is old is not curious or happy.
Everyone who is both calm and not happy is patient and vice versa.
Everyone who is not wise or wise is not humble or strong and vic... | John is not rich. | neutral | ((?[X]:((happy(X)|~rich(X))))=>(?[X]:((calm(X)|~quiet(X)))))&
(![X]:(~strong(X)<=>(~creative(X)&~tall(X))))&
(![X]:(old(X)=>(~curious(X)|happy(X))))&
(![X]:((calm(X)&~happy(X))<=>patient(X)))&
(![X]:((~wise(X)|wise(X))<=>(~humble(X)|strong(X))))&
(![X]:((brave(X)<~>tall(X))=>~curious(X)))&
(((~wise(alice)&creative(alic... | ~rich(john) | [] | null | 0 |
Everyone who is both not wise and wise is both not old and brave and vice versa.
If someone is not wise then lucy is either wise or not kind and vice versa.
Everyone who is generous is not patient.
If someone is both humble and tall then mary is either not quiet or wise.
If paul is both not curious and not patient then... | Fred is tall. | entailment | (![X]:((~wise(X)&wise(X))<=>(~old(X)&brave(X))))&
((?[X]:(~wise(X)))<=>((wise(lucy)<~>~kind(lucy))))&
(![X]:(generous(X)=>~patient(X)))&
((?[X]:((humble(X)&tall(X))))=>((~quiet(mary)<~>wise(mary))))&
(((~curious(paul)&~patient(paul)))<=>((old(lucy)|~humble(lucy))))&
(![X]:((~humble(X)&humble(X))<=>(strong(X)<~>~quiet(X... | tall(fred) | [
"p5",
"p7",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 471906894119637423735901
% SZS output start Proof for 471906894119637423735901
6. ! [X0] : ((humble(X0) & ~humble(X0)) <=> (strong(X0) <~> ~quiet(X0))) [input p5]
8. ! [X0] : ((happy(X0) | ~old(X0)) <=> (~quiet(X0) & generous(X0))) [input p7]
10. ? [X0] : (strong(X0) & generous(X0)) <=> (... | 0 |
Everyone who is both rich and not wise is not humble and vice versa.
Everyone who is calm or not strong is both not wise and not creative and vice versa.
Everyone who is not generous is either patient or not patient and vice versa.
If john is both not quiet and not brave then fred is tall or not generous and vice versa... | John is not curious. | contradiction | (![X]:((rich(X)&~wise(X))<=>~humble(X)))&
(![X]:((calm(X)|~strong(X))<=>(~wise(X)&~creative(X))))&
(![X]:(~generous(X)<=>(patient(X)<~>~patient(X))))&
(((~quiet(john)&~brave(john)))<=>((tall(fred)|~generous(fred))))&
(![X]:((~rich(X)<~>~calm(X))=>patient(X)))&
(![X]:((calm(X)&~wise(X))=>(~generous(X)<~>humble(X))))&
(!... | ~curious(john) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6090387168710454334765772
% SZS output start Proof for 6090387168710454334765772
3. ! [X0] : (~generous(X0) <=> (patient(X0) <~> ~patient(X0))) [input p2]
7. ! [X0] : ((~generous(X0) | ~calm(X0)) => (~funny(X0) & curious(X0))) [input p6]
25. ~curious(john) [input hypothesis]
29. ! [X0] : ... | 0 |
If someone is generous then mary is brave or not rich and vice versa. If someone is both not brave and humble then someone is not strong or not humble. Everyone who is either patient or creative is both old and quiet. Everyone who is both not happy and generous is not calm and vice versa. Everyone who is not strong is ... | Mary is strong. | contradiction | ((?[X]:(generous(X)))<=>((brave(mary)|~rich(mary))))&
((?[X]:((~brave(X)&humble(X))))=>(?[X]:((~strong(X)|~humble(X)))))&
(![X]:((patient(X)<~>creative(X))=>(old(X)&quiet(X))))&
(![X]:((~happy(X)&generous(X))<=>~calm(X)))&
(![X]:(~strong(X)<=>(kind(X)|old(X))))&
(![X]:((kind(X)|old(X))<=>quiet(X)))&
(![X]:((~humble(X)&... | strong(mary) | [
"p2",
"p3",
"p4",
"p6",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1978825090492019724185151
% SZS output start Proof for 1978825090492019724185151
3. ! [X0] : ((patient(X0) <~> creative(X0)) => (quiet(X0) & old(X0))) [input p2]
4. ! [X0] : ((generous(X0) & ~happy(X0)) <=> ~calm(X0)) [input p3]
5. ! [X0] : (~strong(X0) <=> (old(X0) | kind(X0))) [input p4... | 0 |
Everyone who is not strong is quiet. Everyone who is either not patient or calm is not patient and vice versa. If someone is not kind then paul is both funny and curious. If someone is strong or not brave then alice is not funny or not humble. Everyone who is both old and not old is not creative or not wise and vice ve... | Fred is strong. | contradiction | (![X]:(~strong(X)=>quiet(X)))&
(![X]:((~patient(X)<~>calm(X))<=>~patient(X)))&
((?[X]:(~kind(X)))=>((funny(paul)&curious(paul))))&
((?[X]:((strong(X)|~brave(X))))=>((~funny(alice)|~humble(alice))))&
(![X]:((old(X)&~old(X))<=>(~creative(X)|~wise(X))))&
((generous(alice))<=>((strong(paul)&old(paul))))&
(![X]:(~funny(X)<=... | strong(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 333730771180723490760653
% SZS output start Proof for 333730771180723490760653
8. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> (~patient(X0) | strong(X0))) [input p7]
18. strong(fred) [input hypothesis]
31. ! [X0] : (((~patient(X0) & ~strong(X0)) | (patient(X0) & ~strong(X0))) & ((~patient(... | 0 |
Everyone who is both patient and humble is either not curious or brave and vice versa.
Everyone who is funny is either funny or not tall and vice versa.
Everyone who is not patient is both quiet and calm and vice versa.
If someone is either not patient or rich then someone is both not patient and calm.
Everyone who is ... | John is tall. | entailment | (![X]:((patient(X)&humble(X))<=>(~curious(X)<~>brave(X))))&
(![X]:(funny(X)<=>(funny(X)<~>~tall(X))))&
(![X]:(~patient(X)<=>(quiet(X)&calm(X))))&
((?[X]:((~patient(X)<~>rich(X))))=>(?[X]:((~patient(X)&calm(X)))))&
(![X]:(~curious(X)<=>(~rich(X)|~strong(X))))&
(((~brave(lucy)<~>humble(lucy)))<=>(strong(john)))&
((?[X]:(... | tall(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5393176407594603359521543
% SZS output start Proof for 5393176407594603359521543
2. ! [X0] : (funny(X0) <=> (funny(X0) <~> ~tall(X0))) [input p1]
25. ~tall(john) [input hypothesis]
41. ! [X0] : ((funny(X0) | ((funny(X0) | tall(X0)) & (~tall(X0) | ~funny(X0)))) & (((tall(X0) | ~funny(X0)) ... | 0 |
Everyone who is both strong and not creative is rich and vice versa.
Everyone who is generous is patient or humble and vice versa.
Everyone who is not strong or not humble is creative or kind and vice versa.
Everyone who is creative or not funny is not humble or old and vice versa.
Everyone who is both curious and not ... | Susan is creative. | entailment | (![X]:((strong(X)&~creative(X))<=>rich(X)))&
(![X]:(generous(X)<=>(patient(X)|humble(X))))&
(![X]:((~strong(X)|~humble(X))<=>(creative(X)|kind(X))))&
(![X]:((creative(X)|~funny(X))<=>(~humble(X)|old(X))))&
(![X]:((curious(X)&~humble(X))<=>(~quiet(X)<~>~strong(X))))&
(((~calm(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|funny... | creative(susan) | [
"p6",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1026101951364456597670059
% SZS output start Proof for 1026101951364456597670059
7. ! [X0] : ((generous(X0) <~> ~generous(X0)) => (~generous(X0) | curious(X0))) [input p6]
14. ! [X0] : ((~funny(X0) <~> curious(X0)) <=> (~funny(X0) <~> creative(X0))) [input p13]
20. ~rich(susan) & generous... | 0 |
If someone is both not kind and not old then someone is both not happy and brave and vice versa. If someone is either not calm or creative then paul is both calm and not quiet. Everyone who is not curious is not happy. If someone is both old and not calm then someone is curious or calm. If someone is both brave and tal... | Lucy is not old. | neutral | ((?[X]:((~kind(X)&~old(X))))<=>(?[X]:((~happy(X)&brave(X)))))&
((?[X]:((~calm(X)<~>creative(X))))=>((calm(paul)&~quiet(paul))))&
(![X]:(~curious(X)=>~happy(X)))&
((?[X]:((old(X)&~calm(X))))=>(?[X]:((curious(X)|calm(X)))))&
((?[X]:((brave(X)&tall(X))))<=>(?[X]:(~generous(X))))&
(![X]:((calm(X)|~happy(X))<=>(~generous(X)... | ~old(lucy) | [] | null | 0 |
Everyone who is not funny is not kind.
Everyone who is old is both generous and not kind and vice versa.
If someone is funny then someone is not old or happy and vice versa.
Everyone who is either not calm or not wise is both calm and generous.
If someone is wise or quiet then lucy is both quiet and tall.
If fred is st... | John is old. | neutral | (![X]:(~funny(X)=>~kind(X)))&
(![X]:(old(X)<=>(generous(X)&~kind(X))))&
((?[X]:(funny(X)))<=>(?[X]:((~old(X)|happy(X)))))&
(![X]:((~calm(X)<~>~wise(X))=>(calm(X)&generous(X))))&
((?[X]:((wise(X)|quiet(X))))=>((quiet(lucy)&tall(lucy))))&
((strong(fred))=>(?[X]:((~old(X)&~brave(X)))))&
((?[X]:(humble(X)))<=>(?[X]:(curiou... | old(john) | [] | null | 0 |
Everyone who is both generous and funny is humble. If lucy is brave then someone is strong or not old. Everyone who is brave is not brave or not funny and vice versa. Everyone who is wise is either patient or not patient and vice versa. If paul is both not brave and wise then john is either patient or not funny and vic... | Mary is not funny. | entailment | (![X]:((generous(X)&funny(X))=>humble(X)))&
((brave(lucy))=>(?[X]:((strong(X)|~old(X)))))&
(![X]:(brave(X)<=>(~brave(X)|~funny(X))))&
(![X]:(wise(X)<=>(patient(X)<~>~patient(X))))&
(((~brave(paul)&wise(paul)))<=>((patient(john)<~>~funny(john))))&
((?[X]:(funny(X)))=>((~rich(paul)|~tall(paul))))&
((?[X]:((happy(X)<~>cre... | ~funny(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6667352936554246022994037
% SZS output start Proof for 6667352936554246022994037
3. ! [X0] : (brave(X0) <=> (~funny(X0) | ~brave(X0))) [input p2]
25. funny(mary) [input hypothesis]
44. ! [X0] : ((brave(X0) | (funny(X0) & brave(X0))) & ((~funny(X0) | ~brave(X0)) | ~brave(X0))) [nnf transfo... | 0 |
Everyone who is humble is both calm and wise and vice versa. Everyone who is both not tall and not strong is either not wise or not strong and vice versa. Everyone who is both old and creative is either strong or not wise and vice versa. If paul is not brave then alice is brave and vice versa. If mary is creative or no... | Mary is calm. | entailment | (![X]:(humble(X)<=>(calm(X)&wise(X))))&
(![X]:((~tall(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((old(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((~brave(paul))<=>(brave(alice)))&
(((creative(mary)|~calm(mary)))<=>((tall(lucy)|~strong(lucy))))&
(![X]:((creative(X)<~>~funny(X))<=>brave(X)))&
(((~kind(lucy)&~hum... | calm(mary) | [
"p0",
"p1",
"p2",
"p7",
"p11",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5731564952175656021547182
% SZS output start Proof for 5731564952175656021547182
1. ! [X0] : (humble(X0) <=> (wise(X0) & calm(X0))) [input p0]
2. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~wise(X0) <~> ~strong(X0))) [input p1]
3. ! [X0] : ((creative(X0) & old(X0)) <=> (strong(X0) <~> ~wise... | 0 |
If someone is both not kind and not tall then alice is either strong or not brave. If lucy is brave then john is both old and not funny and vice versa. If someone is strong or old then someone is both not brave and kind. Everyone who is both not old and not patient is not curious or not creative and vice versa. If some... | Paul is old. | contradiction | ((?[X]:((~kind(X)&~tall(X))))=>((strong(alice)<~>~brave(alice))))&
((brave(lucy))<=>((old(john)&~funny(john))))&
((?[X]:((strong(X)|old(X))))=>(?[X]:((~brave(X)&kind(X)))))&
(![X]:((~old(X)&~patient(X))<=>(~curious(X)|~creative(X))))&
((?[X]:(~old(X)))=>(?[X]:((funny(X)&old(X)))))&
(![X]:((kind(X)<~>~tall(X))<=>(calm(X... | old(paul) | [
"p2",
"p3",
"p4",
"p5",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5113052546732007948678256
% SZS output start Proof for 5113052546732007948678256
3. ? [X0] : (old(X0) | strong(X0)) => ? [X0] : (kind(X0) & ~brave(X0)) [input p2]
4. ! [X0] : ((~patient(X0) & ~old(X0)) <=> (~creative(X0) | ~curious(X0))) [input p3]
5. ? [X0] : ~old(X0) => ? [X0] : (old(X0... | 0 |
Everyone who is both not quiet and generous is not calm. Everyone who is not strong is kind or old and vice versa. Everyone who is kind or old is quiet and vice versa. Everyone who is both not humble and funny is either not generous or creative and vice versa. Everyone who is funny or generous is not quiet. If someone ... | Mary is generous. | contradiction | (![X]:((~quiet(X)&generous(X))=>~calm(X)))&
(![X]:(~strong(X)<=>(kind(X)|old(X))))&
(![X]:((kind(X)|old(X))<=>quiet(X)))&
(![X]:((~humble(X)&funny(X))<=>(~generous(X)<~>creative(X))))&
(![X]:((funny(X)|generous(X))=>~quiet(X)))&
((?[X]:((tall(X)<~>kind(X))))=>(calm(fred)))&
(![X]:((wise(X)|~patient(X))=>~generous(X)))&... | generous(mary) | [
"p2",
"p4",
"p6",
"p8",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7189779457018921946709145
% SZS output start Proof for 7189779457018921946709145
3. ! [X0] : ((old(X0) | kind(X0)) <=> quiet(X0)) [input p2]
5. ! [X0] : ((generous(X0) | funny(X0)) => ~quiet(X0)) [input p4]
7. ! [X0] : ((~patient(X0) | wise(X0)) => ~generous(X0)) [input p6]
9. ! [X0] : ((... | 0 |
If john is not wise or curious then someone is either humble or not old and vice versa.
If someone is creative or not curious then mary is not generous and vice versa.
If someone is both generous and not humble then someone is not happy.
Everyone who is not creative is not calm or not tall.
Everyone who is either wise ... | Fred is not curious. | neutral | (((~wise(john)|curious(john)))<=>(?[X]:((humble(X)<~>~old(X)))))&
((?[X]:((creative(X)|~curious(X))))<=>(~generous(mary)))&
((?[X]:((generous(X)&~humble(X))))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)=>(~calm(X)|~tall(X))))&
(![X]:((wise(X)<~>generous(X))<=>(~wise(X)|~calm(X))))&
(![X]:((~wise(X)|creative(X))=>(~happy(... | ~curious(fred) | [] | null | 0 |
Everyone who is either not rich or curious is both funny and rich.
If alice is both kind and tall then someone is either not tall or not calm and vice versa.
Everyone who is not patient is either quiet or patient and vice versa.
Everyone who is not rich or funny is either not wise or not brave.
If john is strong or not... | John is not wise. | neutral | (![X]:((~rich(X)<~>curious(X))=>(funny(X)&rich(X))))&
(((kind(alice)&tall(alice)))<=>(?[X]:((~tall(X)<~>~calm(X)))))&
(![X]:(~patient(X)<=>(quiet(X)<~>patient(X))))&
(![X]:((~rich(X)|funny(X))=>(~wise(X)<~>~brave(X))))&
(((strong(john)|~patient(john)))=>(?[X]:((calm(X)|~brave(X)))))&
(![X]:(~old(X)=>(happy(X)|~funny(X)... | ~wise(john) | [] | null | 0 |
Everyone who is both not happy and happy is strong. If someone is both not patient and rich then lucy is funny or not brave and vice versa. If john is quiet then susan is both not brave and not tall. Everyone who is quiet or not patient is both not rich and quiet and vice versa. Everyone who is both quiet and happy is ... | John is humble. | entailment | (![X]:((~happy(X)&happy(X))=>strong(X)))&
((?[X]:((~patient(X)&rich(X))))<=>((funny(lucy)|~brave(lucy))))&
((quiet(john))=>((~brave(susan)&~tall(susan))))&
(![X]:((quiet(X)|~patient(X))<=>(~rich(X)&quiet(X))))&
(![X]:((quiet(X)&happy(X))<=>~kind(X)))&
(![X]:((happy(X)&kind(X))<=>(kind(X)|~tall(X))))&
(![X]:((patient(X)... | humble(john) | [
"p2",
"p3",
"p4",
"p5",
"p9",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5634047741760980396310808
% SZS output start Proof for 5634047741760980396310808
3. quiet(john) => (~tall(susan) & ~brave(susan)) [input p2]
4. ! [X0] : ((~patient(X0) | quiet(X0)) <=> (quiet(X0) & ~rich(X0))) [input p3]
5. ! [X0] : ((happy(X0) & quiet(X0)) <=> ~kind(X0)) [input p4]
6. ! ... | 0 |
If someone is not brave or not quiet then fred is humble.
If someone is not quiet or calm then someone is creative.
Everyone who is tall or not creative is both not happy and not creative.
If someone is either not wise or strong then alice is both not humble and tall.
If someone is kind then paul is old and vice versa.... | Paul is kind. | contradiction | ((?[X]:((~brave(X)|~quiet(X))))=>(humble(fred)))&
((?[X]:((~quiet(X)|calm(X))))=>(?[X]:(creative(X))))&
(![X]:((tall(X)|~creative(X))=>(~happy(X)&~creative(X))))&
((?[X]:((~wise(X)<~>strong(X))))=>((~humble(alice)&tall(alice))))&
((?[X]:(kind(X)))<=>(old(paul)))&
(![X]:(~quiet(X)<=>(~creative(X)|~quiet(X))))&
(![X]:((~... | kind(paul) | [
"p2",
"p4",
"p5",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2503512284423118874897213
% SZS output start Proof for 2503512284423118874897213
3. ! [X0] : ((~creative(X0) | tall(X0)) => (~creative(X0) & ~happy(X0))) [input p2]
5. ? [X0] : kind(X0) <=> old(paul) [input p4]
6. ! [X0] : (~quiet(X0) <=> (~quiet(X0) | ~creative(X0))) [input p5]
9. ! [X0]... | 0 |
If mary is humble or brave then paul is both strong and calm.
Everyone who is either not curious or not generous is either strong or generous and vice versa.
Everyone who is both funny and old is both curious and not old.
Everyone who is both brave and patient is patient or not humble.
Everyone who is tall or not old i... | Alice is humble. | entailment | (((humble(mary)|brave(mary)))=>((strong(paul)&calm(paul))))&
(![X]:((~curious(X)<~>~generous(X))<=>(strong(X)<~>generous(X))))&
(![X]:((funny(X)&old(X))=>(curious(X)&~old(X))))&
(![X]:((brave(X)&patient(X))=>(patient(X)|~humble(X))))&
(![X]:((tall(X)|~old(X))<=>(~rich(X)|brave(X))))&
(![X]:((~calm(X)|~kind(X))<=>(~happ... | humble(alice) | [
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2235953098777011493563709
% SZS output start Proof for 2235953098777011493563709
6. ! [X0] : ((~kind(X0) | ~calm(X0)) <=> (strong(X0) & ~happy(X0))) [input p5]
14. ! [X0] : ((~quiet(X0) | strong(X0)) <=> (humble(X0) & kind(X0))) [input p13]
15. ! [X0] : (kind(X0) => (quiet(X0) <~> kind(X0... | 0 |
If someone is not brave or not calm then someone is not quiet and vice versa. If lucy is either curious or strong then someone is not quiet. Everyone who is brave or calm is tall. Everyone who is both generous and happy is not tall or calm and vice versa. If mary is both kind and happy then susan is both not brave and ... | John is generous. | neutral | ((?[X]:((~brave(X)|~calm(X))))<=>(?[X]:(~quiet(X))))&
(((curious(lucy)<~>strong(lucy)))=>(?[X]:(~quiet(X))))&
(![X]:((brave(X)|calm(X))=>tall(X)))&
(![X]:((generous(X)&happy(X))<=>(~tall(X)|calm(X))))&
(((kind(mary)&happy(mary)))<=>((~brave(susan)&~old(susan))))&
(((humble(susan)|~kind(susan)))<=>(?[X]:((patient(X)|wis... | generous(john) | [] | null | 0 |
Everyone who is not tall is both not rich and tall and vice versa. If mary is brave or wise then paul is not tall and vice versa. If someone is humble then paul is brave or not generous and vice versa. If someone is not kind then alice is both not brave and curious. If alice is both not quiet and old then someone is pa... | Alice is not brave. | entailment | (![X]:(~tall(X)<=>(~rich(X)&tall(X))))&
(((brave(mary)|wise(mary)))<=>(~tall(paul)))&
((?[X]:(humble(X)))<=>((brave(paul)|~generous(paul))))&
((?[X]:(~kind(X)))=>((~brave(alice)&curious(alice))))&
(((~quiet(alice)&old(alice)))<=>(?[X]:(patient(X))))&
(((strong(alice)&rich(alice)))=>(~rich(lucy)))&
(((tall(fred)<~>~brav... | ~brave(alice) | [
"p3",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8559114509638540798673634
% SZS output start Proof for 8559114509638540798673634
4. ? [X0] : ~kind(X0) => (curious(alice) & ~brave(alice)) [input p3]
8. ! [X0] : ((rich(X0) & ~kind(X0)) <=> ~curious(X0)) [input p7]
21. ~curious(susan) & old(susan) [input p20]
23. brave(alice) [input hypot... | 0 |
If someone is not tall or not calm then john is either not brave or not patient and vice versa.
Everyone who is not kind is not funny or not quiet and vice versa.
Everyone who is curious is happy.
If someone is either not curious or not strong then someone is rich.
If mary is not quiet then someone is either humble or ... | Susan is tall. | neutral | ((?[X]:((~tall(X)|~calm(X))))<=>((~brave(john)<~>~patient(john))))&
(![X]:(~kind(X)<=>(~funny(X)|~quiet(X))))&
(![X]:(curious(X)=>happy(X)))&
((?[X]:((~curious(X)<~>~strong(X))))=>(?[X]:(rich(X))))&
((~quiet(mary))=>(?[X]:((humble(X)<~>~wise(X)))))&
((?[X]:((strong(X)<~>patient(X))))=>((~happy(susan)|tall(susan))))&
(!... | tall(susan) | [] | null | 0 |
Everyone who is both not strong and not creative is either not creative or creative and vice versa.
If fred is either not patient or creative then lucy is quiet or generous and vice versa.
If someone is both calm and brave then john is wise or not wise and vice versa.
Everyone who is tall or not generous is strong.
If ... | Fred is not rich. | neutral | (![X]:((~strong(X)&~creative(X))<=>(~creative(X)<~>creative(X))))&
(((~patient(fred)<~>creative(fred)))<=>((quiet(lucy)|generous(lucy))))&
((?[X]:((calm(X)&brave(X))))<=>((wise(john)|~wise(john))))&
(![X]:((tall(X)|~generous(X))=>strong(X)))&
((?[X]:(~funny(X)))<=>((creative(paul)&~brave(paul))))&
((?[X]:((~tall(X)|~cr... | ~rich(fred) | [] | null | 0 |
Everyone who is both not happy and not strong is kind or tall.
Everyone who is both not tall and kind is either not rich or happy and vice versa.
Everyone who is both tall and rich is both not rich and quiet and vice versa.
If paul is generous then someone is not strong or tall and vice versa.
Everyone who is not gener... | Lucy is quiet. | neutral | (![X]:((~happy(X)&~strong(X))=>(kind(X)|tall(X))))&
(![X]:((~tall(X)&kind(X))<=>(~rich(X)<~>happy(X))))&
(![X]:((tall(X)&rich(X))<=>(~rich(X)&quiet(X))))&
((generous(paul))<=>(?[X]:((~strong(X)|tall(X)))))&
(![X]:(~generous(X)<=>~calm(X)))&
((strong(alice))=>((~happy(mary)|~tall(mary))))&
(![X]:((~funny(X)|calm(X))=>(~... | quiet(lucy) | [] | null | 0 |
If john is quiet then alice is not rich and vice versa. Everyone who is either old or tall is not funny or funny and vice versa. If fred is not old or not tall then alice is either tall or kind and vice versa. Everyone who is either strong or not brave is tall. Everyone who is both not curious and not humble is both no... | Lucy is not happy. | neutral | ((quiet(john))<=>(~rich(alice)))&
(![X]:((old(X)<~>tall(X))<=>(~funny(X)|funny(X))))&
(((~old(fred)|~tall(fred)))<=>((tall(alice)<~>kind(alice))))&
(![X]:((strong(X)<~>~brave(X))=>tall(X)))&
(![X]:((~curious(X)&~humble(X))<=>(~creative(X)&rich(X))))&
(![X]:((~brave(X)|curious(X))<=>(strong(X)&~strong(X))))&
((?[X]:((~w... | ~happy(lucy) | [] | null | 0 |
If lucy is curious or not funny then someone is not strong or not quiet. Everyone who is both funny and not patient is not happy and vice versa. Everyone who is rich is either kind or not humble. Everyone who is strong or generous is not funny. Everyone who is not patient or not old is not kind or not generous. If some... | Susan is not curious. | neutral | (((curious(lucy)|~funny(lucy)))=>(?[X]:((~strong(X)|~quiet(X)))))&
(![X]:((funny(X)&~patient(X))<=>~happy(X)))&
(![X]:(rich(X)=>(kind(X)<~>~humble(X))))&
(![X]:((strong(X)|generous(X))=>~funny(X)))&
(![X]:((~patient(X)|~old(X))=>(~kind(X)|~generous(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~wise(X)|~happy(X)))))&
(![X]:((~qui... | ~curious(susan) | [] | null | 0 |
Everyone who is curious is not funny. Everyone who is either calm or creative is strong. Everyone who is either not rich or not strong is happy. If someone is both tall and not creative then someone is kind and vice versa. Everyone who is either funny or rich is either not curious or creative and vice versa. Everyone w... | John is humble. | entailment | (![X]:(curious(X)=>~funny(X)))&
(![X]:((calm(X)<~>creative(X))=>strong(X)))&
(![X]:((~rich(X)<~>~strong(X))=>happy(X)))&
((?[X]:((tall(X)&~creative(X))))<=>(?[X]:(kind(X))))&
(![X]:((funny(X)<~>rich(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((~brave(X)&~kind(X))=>(~patient(X)<~>kind(X))))&
(![X]:((~happy(X)<~>rich(X))... | humble(john) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2199300670060975937463661
% SZS output start Proof for 2199300670060975937463661
7. ! [X0] : ((~happy(X0) <~> rich(X0)) <=> (rich(X0) | humble(X0))) [input p6]
15. ! [X0] : (humble(X0) <=> (happy(X0) | wise(X0))) [input p14]
23. ~humble(john) [input hypothesis]
42. ! [X0] : ((((~rich(X0) ... | 0 |
If fred is not happy then someone is not strong or rich and vice versa. Everyone who is not patient or not brave is both not curious and not funny. If mary is both generous and not funny then john is funny or not curious and vice versa. Everyone who is strong is not patient or not funny. Everyone who is either happy or... | Mary is not kind. | entailment | ((~happy(fred))<=>(?[X]:((~strong(X)|rich(X)))))&
(![X]:((~patient(X)|~brave(X))=>(~curious(X)&~funny(X))))&
(((generous(mary)&~funny(mary)))<=>((funny(john)|~curious(john))))&
(![X]:(strong(X)=>(~patient(X)|~funny(X))))&
(![X]:((happy(X)<~>~quiet(X))=>(funny(X)<~>tall(X))))&
(![X]:((curious(X)&~happy(X))=>(happy(X)<~>... | ~kind(mary) | [
"p1",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 511142549153110564146937
% SZS output start Proof for 511142549153110564146937
2. ! [X0] : ((~brave(X0) | ~patient(X0)) => (~funny(X0) & ~curious(X0))) [input p1]
8. ! [X0] : (patient(X0) <=> (wise(X0) | ~curious(X0))) [input p7]
9. ! [X0] : (funny(X0) <=> (~kind(X0) <~> ~brave(X0))) [inp... | 0 |
Everyone who is humble is either strong or creative and vice versa.
Everyone who is not calm is creative and vice versa.
Everyone who is not strong or not tall is not generous or quiet.
If susan is not tall then mary is both not happy and humble.
If john is not calm then lucy is kind or humble and vice versa.
Everyone ... | Lucy is not humble. | entailment | (![X]:(humble(X)<=>(strong(X)<~>creative(X))))&
(![X]:(~calm(X)<=>creative(X)))&
(![X]:((~strong(X)|~tall(X))=>(~generous(X)|quiet(X))))&
((~tall(susan))=>((~happy(mary)&humble(mary))))&
((~calm(john))<=>((kind(lucy)|humble(lucy))))&
(![X]:((curious(X)|kind(X))=>(~kind(X)<~>~quiet(X))))&
(((brave(fred)&patient(fred)))=... | ~humble(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9083147075640607984211749
% SZS output start Proof for 9083147075640607984211749
14. ? [X0] : humble(X0) => (calm(fred) & ~calm(fred)) [input p13]
25. humble(lucy) [input hypothesis]
36. (calm(fred) & ~calm(fred)) | ! [X0] : ~humble(X0) [ennf transformation 14]
125. ~calm(fred) | ~humble(... | 0 |
Everyone who is both humble and curious is humble and vice versa.
Everyone who is both not tall and humble is not rich or not generous and vice versa.
If mary is both happy and not old then someone is not humble.
If someone is happy then susan is both not curious and not generous.
Everyone who is generous or not brave ... | Lucy is tall. | contradiction | (![X]:((humble(X)&curious(X))<=>humble(X)))&
(![X]:((~tall(X)&humble(X))<=>(~rich(X)|~generous(X))))&
(((happy(mary)&~old(mary)))=>(?[X]:(~humble(X))))&
((?[X]:(happy(X)))=>((~curious(susan)&~generous(susan))))&
(![X]:((generous(X)|~brave(X))=>(~wise(X)<~>tall(X))))&
((~patient(john))=>(?[X]:((rich(X)<~>kind(X)))))&
(!... | tall(lucy) | [
"p0",
"p1",
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4853138409719745436753049
% SZS output start Proof for 4853138409719745436753049
1. ! [X0] : ((curious(X0) & humble(X0)) <=> humble(X0)) [input p0]
2. ! [X0] : ((humble(X0) & ~tall(X0)) <=> (~generous(X0) | ~rich(X0))) [input p1]
4. ? [X0] : happy(X0) => (~generous(susan) & ~curious(susan... | 0 |
Everyone who is either rich or brave is either not creative or old and vice versa. Everyone who is either not kind or curious is not rich or not old. Everyone who is either humble or not curious is either not quiet or not humble and vice versa. Everyone who is tall is either quiet or not strong and vice versa. If someo... | Fred is old. | neutral | (![X]:((rich(X)<~>brave(X))<=>(~creative(X)<~>old(X))))&
(![X]:((~kind(X)<~>curious(X))=>(~rich(X)|~old(X))))&
(![X]:((humble(X)<~>~curious(X))<=>(~quiet(X)<~>~humble(X))))&
(![X]:(tall(X)<=>(quiet(X)<~>~strong(X))))&
((?[X]:((~tall(X)<~>~humble(X))))=>(?[X]:(funny(X))))&
(![X]:(~creative(X)=>(~kind(X)|tall(X))))&
((?[... | old(fred) | [] | null | 0 |
Everyone who is not patient or brave is quiet or rich and vice versa. Everyone who is both not patient and curious is kind. If lucy is old then lucy is both rich and not kind. Everyone who is both not rich and tall is both not generous and calm and vice versa. If someone is either strong or rich then someone is either ... | Fred is not tall. | neutral | (![X]:((~patient(X)|brave(X))<=>(quiet(X)|rich(X))))&
(![X]:((~patient(X)&curious(X))=>kind(X)))&
((old(lucy))=>((rich(lucy)&~kind(lucy))))&
(![X]:((~rich(X)&tall(X))<=>(~generous(X)&calm(X))))&
((?[X]:((strong(X)<~>rich(X))))=>(?[X]:((~curious(X)<~>~brave(X)))))&
((?[X]:((~wise(X)&brave(X))))=>((rich(susan)|patient(su... | ~tall(fred) | [] | null | 0 |
Everyone who is not rich or quiet is not brave.
If alice is humble then someone is both rich and not old.
If susan is not funny or not quiet then paul is either rich or not funny and vice versa.
Everyone who is either not old or old is brave and vice versa.
Everyone who is old or not old is not creative or not wise and... | Fred is rich. | entailment | (![X]:((~rich(X)|quiet(X))=>~brave(X)))&
((humble(alice))=>(?[X]:((rich(X)&~old(X)))))&
(((~funny(susan)|~quiet(susan)))<=>((rich(paul)<~>~funny(paul))))&
(![X]:((~old(X)<~>old(X))<=>brave(X)))&
(![X]:((old(X)|~old(X))<=>(~creative(X)|~wise(X))))&
(![X]:(~creative(X)=>(~creative(X)|rich(X))))&
((?[X]:((old(X)|~old(X)))... | rich(fred) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1615943001640722232165051
% SZS output start Proof for 1615943001640722232165051
1. ! [X0] : ((quiet(X0) | ~rich(X0)) => ~brave(X0)) [input p0]
4. ! [X0] : ((~old(X0) <~> old(X0)) <=> brave(X0)) [input p3]
22. ~rich(fred) [input hypothesis]
25. ! [X0] : (~brave(X0) | (~quiet(X0) & rich(X0... | 0 |
Everyone who is either quiet or old is rich and vice versa. Everyone who is both calm and not brave is not generous or not old. If someone is not humble or happy then someone is either happy or not patient. If john is both not old and tall then paul is old and vice versa. Everyone who is both not old and not generous i... | Mary is curious. | entailment | (![X]:((quiet(X)<~>old(X))<=>rich(X)))&
(![X]:((calm(X)&~brave(X))=>(~generous(X)|~old(X))))&
((?[X]:((~humble(X)|happy(X))))=>(?[X]:((happy(X)<~>~patient(X)))))&
(((~old(john)&tall(john)))<=>(old(paul)))&
(![X]:((~old(X)&~generous(X))<=>(~calm(X)|calm(X))))&
(![X]:((creative(X)<~>~old(X))<=>(~humble(X)|strong(X))))&
(... | curious(mary) | [
"p2",
"p7",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4634754929676543476445242
% SZS output start Proof for 4634754929676543476445242
3. ? [X0] : (happy(X0) | ~humble(X0)) => ? [X0] : (happy(X0) <~> ~patient(X0)) [input p2]
8. ! [X0] : (rich(X0) <=> (rich(X0) <~> happy(X0))) [input p7]
13. ! [X0] : ((~quiet(X0) & happy(X0)) <=> (~patient(X0... | 0 |
Everyone who is either not brave or kind is not curious. Everyone who is both not funny and not old is curious or not kind. Everyone who is either not happy or not calm is happy or not strong and vice versa. Everyone who is calm is either happy or strong and vice versa. If paul is generous or old then someone is patien... | Susan is old. | neutral | (![X]:((~brave(X)<~>kind(X))=>~curious(X)))&
(![X]:((~funny(X)&~old(X))=>(curious(X)|~kind(X))))&
(![X]:((~happy(X)<~>~calm(X))<=>(happy(X)|~strong(X))))&
(![X]:(calm(X)<=>(happy(X)<~>strong(X))))&
(((generous(paul)|old(paul)))<=>(?[X]:((patient(X)|~old(X)))))&
(![X]:((~strong(X)&kind(X))<=>(~brave(X)&~kind(X))))&
(![X... | old(susan) | [] | null | 0 |
Everyone who is both curious and not quiet is not creative or not calm. Everyone who is not rich is both funny and wise. Everyone who is either funny or tall is strong or not generous and vice versa. Everyone who is both generous and not calm is kind. If paul is brave then alice is kind. Everyone who is either happy or... | Alice is not tall. | neutral | (![X]:((curious(X)&~quiet(X))=>(~creative(X)|~calm(X))))&
(![X]:(~rich(X)=>(funny(X)&wise(X))))&
(![X]:((funny(X)<~>tall(X))<=>(strong(X)|~generous(X))))&
(![X]:((generous(X)&~calm(X))=>kind(X)))&
((brave(paul))=>(kind(alice)))&
(![X]:((happy(X)<~>kind(X))<=>(~curious(X)&wise(X))))&
(![X]:((generous(X)|funny(X))=>(rich... | ~tall(alice) | [] | null | 0 |
Everyone who is happy or not quiet is both not humble and not tall.
Everyone who is not rich is either funny or not patient and vice versa.
Everyone who is humble or quiet is generous or not brave and vice versa.
Everyone who is not funny or patient is not generous.
Everyone who is either not patient or not happy is ei... | Susan is not tall. | entailment | (![X]:((happy(X)|~quiet(X))=>(~humble(X)&~tall(X))))&
(![X]:(~rich(X)<=>(funny(X)<~>~patient(X))))&
(![X]:((humble(X)|quiet(X))<=>(generous(X)|~brave(X))))&
(![X]:((~funny(X)|patient(X))=>~generous(X)))&
(![X]:((~patient(X)<~>~happy(X))<=>(~patient(X)<~>~tall(X))))&
(![X]:((~rich(X)|~strong(X))=>(~strong(X)|~patient(X)... | ~tall(susan) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7958635175278567860521565
% SZS output start Proof for 7958635175278567860521565
1. ! [X0] : ((~quiet(X0) | happy(X0)) => (~tall(X0) & ~humble(X0))) [input p0]
5. ! [X0] : ((~patient(X0) <~> ~happy(X0)) <=> (~patient(X0) <~> ~tall(X0))) [input p4]
23. tall(susan) [input hypothesis]
25. ! ... | 0 |
Everyone who is both not brave and not generous is funny or not kind and vice versa.
If someone is patient or not wise then someone is wise and vice versa.
If fred is both brave and patient then fred is either quiet or strong.
Everyone who is curious or happy is wise or funny.
Everyone who is either not wise or not qui... | John is happy. | contradiction | (![X]:((~brave(X)&~generous(X))<=>(funny(X)|~kind(X))))&
((?[X]:((patient(X)|~wise(X))))<=>(?[X]:(wise(X))))&
(((brave(fred)&patient(fred)))=>((quiet(fred)<~>strong(fred))))&
(![X]:((curious(X)|happy(X))=>(wise(X)|funny(X))))&
(![X]:((~wise(X)<~>~quiet(X))<=>(~generous(X)|~kind(X))))&
(((calm(alice)|~kind(alice)))<=>(?... | happy(john) | [
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4678698169359079624647238
% SZS output start Proof for 4678698169359079624647238
7. ? [X0] : patient(X0) <=> (~wise(john) & ~happy(john)) [input p6]
19. patient(john) & rich(john) [input p18]
25. happy(john) [input hypothesis]
55. (? [X0] : patient(X0) | (wise(john) | happy(john))) & ((~w... | 0 |
Everyone who is either not brave or not generous is both not brave and not tall and vice versa.
If someone is not wise or humble then mary is patient or strong.
If lucy is curious then someone is not brave and vice versa.
Everyone who is not old or not brave is either happy or not old.
Everyone who is curious or tall i... | Mary is strong. | neutral | (![X]:((~brave(X)<~>~generous(X))<=>(~brave(X)&~tall(X))))&
((?[X]:((~wise(X)|humble(X))))=>((patient(mary)|strong(mary))))&
((curious(lucy))<=>(?[X]:(~brave(X))))&
(![X]:((~old(X)|~brave(X))=>(happy(X)<~>~old(X))))&
(![X]:((curious(X)|tall(X))=>calm(X)))&
((?[X]:((tall(X)&~curious(X))))=>((~brave(paul)|~creative(paul)... | strong(mary) | [] | null | 0 |
If fred is patient or rich then someone is either creative or not kind and vice versa.
Everyone who is humble or not quiet is not funny or not humble.
If paul is not tall or wise then fred is kind or not old and vice versa.
Everyone who is both not rich and not wise is either creative or curious and vice versa.
If some... | Susan is not rich. | neutral | (((patient(fred)|rich(fred)))<=>(?[X]:((creative(X)<~>~kind(X)))))&
(![X]:((humble(X)|~quiet(X))=>(~funny(X)|~humble(X))))&
(((~tall(paul)|wise(paul)))<=>((kind(fred)|~old(fred))))&
(![X]:((~rich(X)&~wise(X))<=>(creative(X)<~>curious(X))))&
((?[X]:((wise(X)|~patient(X))))<=>(~tall(mary)))&
((?[X]:((curious(X)<~>strong(... | ~rich(susan) | [] | null | 0 |
If mary is both not kind and not rich then alice is funny and vice versa.
If fred is happy then someone is not curious and vice versa.
If mary is either not old or not calm then john is not funny.
If paul is either happy or not curious then fred is not brave or funny.
Everyone who is either funny or not patient is brav... | Mary is rich. | contradiction | (((~kind(mary)&~rich(mary)))<=>(funny(alice)))&
((happy(fred))<=>(?[X]:(~curious(X))))&
(((~old(mary)<~>~calm(mary)))=>(~funny(john)))&
(((happy(paul)<~>~curious(paul)))=>((~brave(fred)|funny(fred))))&
(![X]:((funny(X)<~>~patient(X))<=>(brave(X)|old(X))))&
(![X]:((~kind(X)<~>quiet(X))=>(~wise(X)&curious(X))))&
((?[X]:(... | rich(mary) | [
"p0",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2067979832654287957615407
% SZS output start Proof for 2067979832654287957615407
1. (~rich(mary) & ~kind(mary)) <=> funny(alice) [input p0]
9. ! [X0] : (old(X0) <=> (~creative(X0) | ~funny(X0))) [input p8]
11. ! [X0] : ((funny(X0) & brave(X0)) <=> old(X0)) [input p10]
24. rich(mary) [inpu... | 0 |
Everyone who is generous is not rich.
If someone is either not creative or calm then someone is both rich and wise.
If fred is either tall or not humble then someone is both not funny and not creative.
If someone is curious then mary is not generous and vice versa.
Everyone who is not quiet is not tall or brave and vic... | John is calm. | entailment | (![X]:(generous(X)=>~rich(X)))&
((?[X]:((~creative(X)<~>calm(X))))=>(?[X]:((rich(X)&wise(X)))))&
(((tall(fred)<~>~humble(fred)))=>(?[X]:((~funny(X)&~creative(X)))))&
((?[X]:(curious(X)))<=>(~generous(mary)))&
(![X]:(~quiet(X)<=>(~tall(X)|brave(X))))&
(![X]:(~strong(X)=>(~kind(X)<~>old(X))))&
(![X]:((~strong(X)<~>~creat... | calm(john) | [
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5839942059549578089828583
% SZS output start Proof for 5839942059549578089828583
8. ! [X0] : ((~creative(X0) & ~calm(X0)) <=> (funny(X0) | humble(X0))) [input p7]
10. ! [X0] : ((~old(X0) | old(X0)) => (~humble(X0) <~> creative(X0))) [input p9]
13. ! [X0] : (~creative(X0) => (strong(X0) & ... | 0 |
Everyone who is not funny or tall is both brave and not generous and vice versa. Everyone who is both not rich and quiet is both not creative and funny and vice versa. If alice is not humble or not old then fred is either not strong or rich. If alice is both kind and funny then paul is generous. If someone is either no... | Paul is not tall. | contradiction | (![X]:((~funny(X)|tall(X))<=>(brave(X)&~generous(X))))&
(![X]:((~rich(X)&quiet(X))<=>(~creative(X)&funny(X))))&
(((~humble(alice)|~old(alice)))=>((~strong(fred)<~>rich(fred))))&
(((kind(alice)&funny(alice)))=>(generous(paul)))&
((?[X]:((~tall(X)<~>curious(X))))<=>((~humble(alice)<~>wise(alice))))&
(![X]:((~brave(X)&str... | ~tall(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1060803125940461672921546
% SZS output start Proof for 1060803125940461672921546
8. ! [X0] : ((~brave(X0) & tall(X0)) <=> (old(X0) | ~tall(X0))) [input p7]
21. ~tall(paul) [input hypothesis]
45. ! [X0] : (((~brave(X0) & tall(X0)) | (~old(X0) & tall(X0))) & ((old(X0) | ~tall(X0)) | (brave(... | 0 |
If someone is not strong then someone is kind or patient.
Everyone who is not funny or humble is both not wise and wise.
If mary is not calm then someone is not old or humble and vice versa.
If someone is humble then someone is both old and not creative and vice versa.
If someone is happy or brave then someone is not w... | Fred is humble. | contradiction | ((?[X]:(~strong(X)))=>(?[X]:((kind(X)|patient(X)))))&
(![X]:((~funny(X)|humble(X))=>(~wise(X)&wise(X))))&
((~calm(mary))<=>(?[X]:((~old(X)|humble(X)))))&
((?[X]:(humble(X)))<=>(?[X]:((old(X)&~creative(X)))))&
((?[X]:((happy(X)|brave(X))))=>(?[X]:(~wise(X))))&
((?[X]:((~humble(X)|happy(X))))<=>(?[X]:((~rich(X)|generous(... | humble(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4126601890218171897497443
% SZS output start Proof for 4126601890218171897497443
2. ! [X0] : ((humble(X0) | ~funny(X0)) => (wise(X0) & ~wise(X0))) [input p1]
25. humble(fred) [input hypothesis]
36. ! [X0] : ((wise(X0) & ~wise(X0)) | (~humble(X0) & funny(X0))) [ennf transformation 2]
90. ~... | 0 |
If lucy is either generous or not wise then someone is either not wise or creative. If paul is funny then someone is either patient or not humble and vice versa. Everyone who is both not kind and brave is either rich or humble and vice versa. If susan is wise or funny then alice is either not wise or quiet and vice ver... | Alice is not funny. | neutral | (((generous(lucy)<~>~wise(lucy)))=>(?[X]:((~wise(X)<~>creative(X)))))&
((funny(paul))<=>(?[X]:((patient(X)<~>~humble(X)))))&
(![X]:((~kind(X)&brave(X))<=>(rich(X)<~>humble(X))))&
(((wise(susan)|funny(susan)))<=>((~wise(alice)<~>quiet(alice))))&
(![X]:(~generous(X)=>(~kind(X)|~brave(X))))&
((?[X]:((~quiet(X)&rich(X))))<... | ~funny(alice) | [] | null | 0 |
If paul is not curious then someone is quiet or tall and vice versa.
If lucy is either wise or calm then paul is quiet and vice versa.
If susan is not wise then someone is not happy or patient and vice versa.
Everyone who is not strong or brave is generous or curious.
If someone is both not generous and creative then m... | Lucy is not wise. | contradiction | ((~curious(paul))<=>(?[X]:((quiet(X)|tall(X)))))&
(((wise(lucy)<~>calm(lucy)))<=>(quiet(paul)))&
((~wise(susan))<=>(?[X]:((~happy(X)|patient(X)))))&
(![X]:((~strong(X)|brave(X))=>(generous(X)|curious(X))))&
((?[X]:((~generous(X)&creative(X))))=>((~strong(mary)&~curious(mary))))&
((~funny(paul))<=>(?[X]:(calm(X))))&
(![... | ~wise(lucy) | [
"p0",
"p1",
"p12",
"p13",
"p14",
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7019316742587607855241969
% SZS output start Proof for 7019316742587607855241969
1. ~curious(paul) <=> ? [X0] : (tall(X0) | quiet(X0)) [input p0]
2. (wise(lucy) <~> calm(lucy)) <=> quiet(paul) [input p1]
13. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p12]
14. ! [X0] : ((~wise(X0) <~> ~ha... | 0 |
Everyone who is not generous is both humble and not patient. If someone is both not strong and not curious then someone is either strong or not patient. If lucy is either humble or not kind then someone is both not quiet and not rich. If someone is either creative or rich then someone is either not strong or not genero... | Alice is old. | contradiction | (![X]:(~generous(X)=>(humble(X)&~patient(X))))&
((?[X]:((~strong(X)&~curious(X))))=>(?[X]:((strong(X)<~>~patient(X)))))&
(((humble(lucy)<~>~kind(lucy)))=>(?[X]:((~quiet(X)&~rich(X)))))&
((?[X]:((creative(X)<~>rich(X))))<=>(?[X]:((~strong(X)<~>~generous(X)))))&
(((curious(mary)&patient(mary)))=>(?[X]:((~tall(X)&~rich(X)... | old(alice) | [
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7104255342383040888966195
% SZS output start Proof for 7104255342383040888966195
12. ! [X0] : (~tall(X0) <=> (~wise(X0) & wise(X0))) [input p11]
13. ! [X0] : (~old(X0) <=> tall(X0)) [input p12]
25. old(alice) [input hypothesis]
71. ! [X0] : ((~tall(X0) | (wise(X0) | ~wise(X0))) & ((~wise(... | 0 |
Everyone who is either tall or not patient is both tall and quiet and vice versa.
If john is not brave then mary is either old or not kind and vice versa.
Everyone who is either not rich or funny is either not kind or old.
Everyone who is both not old and not generous is patient or not kind.
Everyone who is patient or ... | Paul is generous. | neutral | (![X]:((tall(X)<~>~patient(X))<=>(tall(X)&quiet(X))))&
((~brave(john))<=>((old(mary)<~>~kind(mary))))&
(![X]:((~rich(X)<~>funny(X))=>(~kind(X)<~>old(X))))&
(![X]:((~old(X)&~generous(X))=>(patient(X)|~kind(X))))&
(![X]:((patient(X)|old(X))<=>(tall(X)&~wise(X))))&
(![X]:((patient(X)&~old(X))<=>(~old(X)|funny(X))))&
(((qu... | generous(paul) | [] | null | 0 |
Everyone who is generous is either not happy or kind. If someone is not old or not tall then someone is not wise and vice versa. If alice is kind then someone is both not strong and not quiet and vice versa. Everyone who is not funny or not tall is not tall and vice versa. If someone is both not rich and not old then j... | Susan is patient. | neutral | (![X]:(generous(X)=>(~happy(X)<~>kind(X))))&
((?[X]:((~old(X)|~tall(X))))<=>(?[X]:(~wise(X))))&
((kind(alice))<=>(?[X]:((~strong(X)&~quiet(X)))))&
(![X]:((~funny(X)|~tall(X))<=>~tall(X)))&
((?[X]:((~rich(X)&~old(X))))=>((funny(john)|quiet(john))))&
(![X]:((~wise(X)|curious(X))=>(funny(X)|~kind(X))))&
(((~patient(susan)... | patient(susan) | [] | null | 0 |
If someone is either not patient or not old then someone is either not quiet or tall. If mary is either not kind or not creative then lucy is happy or funny. Everyone who is not old or not creative is not curious and vice versa. Everyone who is not rich is rich or curious. Everyone who is both not old and tall is both ... | Alice is not old. | contradiction | ((?[X]:((~patient(X)<~>~old(X))))=>(?[X]:((~quiet(X)<~>tall(X)))))&
(((~kind(mary)<~>~creative(mary)))=>((happy(lucy)|funny(lucy))))&
(![X]:((~old(X)|~creative(X))<=>~curious(X)))&
(![X]:(~rich(X)=>(rich(X)|curious(X))))&
(![X]:((~old(X)&tall(X))=>(~calm(X)&rich(X))))&
(![X]:(~happy(X)=>(calm(X)&tall(X))))&
((?[X]:(~ta... | ~old(alice) | [
"p5",
"p7",
"p14",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 650139536381433508654719
% SZS output start Proof for 650139536381433508654719
6. ! [X0] : (~happy(X0) => (tall(X0) & calm(X0))) [input p5]
8. ? [X0] : (~strong(X0) | ~patient(X0)) => ~calm(mary) [input p7]
15. ? [X0] : (kind(X0) | quiet(X0)) => ~happy(mary) [input p14]
17. ~strong(john) ... | 0 |
If someone is old or quiet then someone is either not funny or not quiet and vice versa.
If someone is curious then someone is both curious and old and vice versa.
Everyone who is happy is both kind and not happy and vice versa.
If paul is not calm then someone is both not rich and old.
If mary is strong then someone i... | Fred is not curious. | neutral | ((?[X]:((old(X)|quiet(X))))<=>(?[X]:((~funny(X)<~>~quiet(X)))))&
((?[X]:(curious(X)))<=>(?[X]:((curious(X)&old(X)))))&
(![X]:(happy(X)<=>(kind(X)&~happy(X))))&
((~calm(paul))=>(?[X]:((~rich(X)&old(X)))))&
((strong(mary))=>(?[X]:(creative(X))))&
((?[X]:((quiet(X)<~>patient(X))))<=>(curious(lucy)))&
((?[X]:(old(X)))=>(?[... | ~curious(fred) | [] | null | 0 |
Everyone who is not funny or funny is either not happy or generous and vice versa.
If susan is both creative and kind then someone is not patient.
Everyone who is both not humble and not happy is kind or generous and vice versa.
Everyone who is not rich is not strong or humble.
Everyone who is wise is both not creative... | John is humble. | contradiction | (![X]:((~funny(X)|funny(X))<=>(~happy(X)<~>generous(X))))&
(((creative(susan)&kind(susan)))=>(?[X]:(~patient(X))))&
(![X]:((~humble(X)&~happy(X))<=>(kind(X)|generous(X))))&
(![X]:(~rich(X)=>(~strong(X)|humble(X))))&
(![X]:(wise(X)=>(~creative(X)&~patient(X))))&
(![X]:(generous(X)=>(rich(X)<~>quiet(X))))&
(![X]:((strong... | humble(john) | [
"p0",
"p2",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5798645778229250499355596
% SZS output start Proof for 5798645778229250499355596
1. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~happy(X0) <~> generous(X0))) [input p0]
3. ! [X0] : ((~happy(X0) & ~humble(X0)) <=> (generous(X0) | kind(X0))) [input p2]
12. old(mary) <=> (~old(john) <~> funny(jo... | 0 |
If someone is quiet then lucy is both not patient and strong and vice versa.
If someone is not happy then someone is wise and vice versa.
If someone is both funny and patient then lucy is either not happy or not rich and vice versa.
Everyone who is both tall and not curious is not generous or not funny and vice versa.
... | John is not patient. | entailment | ((?[X]:(quiet(X)))<=>((~patient(lucy)&strong(lucy))))&
((?[X]:(~happy(X)))<=>(?[X]:(wise(X))))&
((?[X]:((funny(X)&patient(X))))<=>((~happy(lucy)<~>~rich(lucy))))&
(![X]:((tall(X)&~curious(X))<=>(~generous(X)|~funny(X))))&
(![X]:(~patient(X)<=>(humble(X)|~curious(X))))&
((?[X]:((quiet(X)<~>~curious(X))))=>(?[X]:((curiou... | ~patient(john) | [
"p3",
"p4",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4575552833141265250305504
% SZS output start Proof for 4575552833141265250305504
4. ! [X0] : ((~curious(X0) & tall(X0)) <=> (~funny(X0) | ~generous(X0))) [input p3]
5. ! [X0] : (~patient(X0) <=> (~curious(X0) | humble(X0))) [input p4]
10. ! [X0] : (~humble(X0) <=> (~generous(X0) | ~tall(X... | 0 |
If john is old or strong then fred is not curious or not happy.
If someone is patient or not tall then someone is brave.
If someone is quiet or rich then someone is both not curious and curious.
Everyone who is both not wise and not patient is wise and vice versa.
If john is not brave or not curious then lucy is both n... | John is happy. | neutral | (((old(john)|strong(john)))=>((~curious(fred)|~happy(fred))))&
((?[X]:((patient(X)|~tall(X))))=>(?[X]:(brave(X))))&
((?[X]:((quiet(X)|rich(X))))=>(?[X]:((~curious(X)&curious(X)))))&
(![X]:((~wise(X)&~patient(X))<=>wise(X)))&
(((~brave(john)|~curious(john)))=>((~creative(lucy)&quiet(lucy))))&
(![X]:((calm(X)<~>~rich(X))... | happy(john) | [] | null | 0 |
Everyone who is not brave or calm is brave or not funny and vice versa. Everyone who is not creative is rich or patient. If someone is both generous and not brave then someone is both creative and quiet. If fred is not strong or not funny then paul is old and vice versa. Everyone who is not happy is both wise and not o... | Fred is not calm. | contradiction | (![X]:((~brave(X)|calm(X))<=>(brave(X)|~funny(X))))&
(![X]:(~creative(X)=>(rich(X)|patient(X))))&
((?[X]:((generous(X)&~brave(X))))=>(?[X]:((creative(X)&quiet(X)))))&
(((~strong(fred)|~funny(fred)))<=>(old(paul)))&
(![X]:(~happy(X)<=>(wise(X)&~old(X))))&
(![X]:(rich(X)<=>strong(X)))&
(![X]:((~brave(X)<~>wise(X))<=>(~cr... | ~calm(fred) | [
"p0",
"p4",
"p5",
"p6",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6307078641877807405858022
% SZS output start Proof for 6307078641877807405858022
1. ! [X0] : ((calm(X0) | ~brave(X0)) <=> (~funny(X0) | brave(X0))) [input p0]
5. ! [X0] : (~happy(X0) <=> (~old(X0) & wise(X0))) [input p4]
6. ! [X0] : (rich(X0) <=> strong(X0)) [input p5]
7. ! [X0] : ((~brav... | 0 |
Everyone who is both not wise and wise is both not old and brave and vice versa.
If someone is not wise then lucy is either wise or not kind and vice versa.
Everyone who is generous is not patient.
If someone is both humble and tall then mary is either not quiet or wise.
If paul is both not curious and not patient then... | Lucy is humble. | neutral | (![X]:((~wise(X)&wise(X))<=>(~old(X)&brave(X))))&
((?[X]:(~wise(X)))<=>((wise(lucy)<~>~kind(lucy))))&
(![X]:(generous(X)=>~patient(X)))&
((?[X]:((humble(X)&tall(X))))=>((~quiet(mary)<~>wise(mary))))&
(((~curious(paul)&~patient(paul)))<=>((old(lucy)|~humble(lucy))))&
(![X]:((~humble(X)&humble(X))<=>(strong(X)<~>~quiet(X... | humble(lucy) | [] | null | 0 |
Everyone who is funny is either kind or not strong and vice versa.
Everyone who is quiet is both not tall and patient.
If fred is either quiet or rich then mary is both tall and not happy.
If mary is both not creative and patient then someone is either not quiet or not brave.
Everyone who is both generous and quiet is ... | Fred is quiet. | contradiction | (![X]:(funny(X)<=>(kind(X)<~>~strong(X))))&
(![X]:(quiet(X)=>(~tall(X)&patient(X))))&
(((quiet(fred)<~>rich(fred)))=>((tall(mary)&~happy(mary))))&
(((~creative(mary)&patient(mary)))=>(?[X]:((~quiet(X)<~>~brave(X)))))&
(![X]:((generous(X)&quiet(X))=>~patient(X)))&
((?[X]:(~humble(X)))<=>(~rich(alice)))&
(![X]:(~wise(X)=... | quiet(fred) | [
"p2",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5647119066220845924642442
% SZS output start Proof for 5647119066220845924642442
3. (quiet(fred) <~> rich(fred)) => (~happy(mary) & tall(mary)) [input p2]
9. ! [X0] : (~old(X0) <=> (old(X0) | ~rich(X0))) [input p8]
13. ? [X0] : (calm(X0) & rich(X0)) <=> ? [X0] : (~happy(X0) & ~brave(X0)) ... | 0 |
If lucy is not quiet or not old then someone is either brave or tall.
Everyone who is rich or funny is both creative and funny and vice versa.
Everyone who is calm is not tall and vice versa.
If susan is both not funny and not strong then someone is either not rich or curious and vice versa.
If fred is either brave or ... | John is not calm. | entailment | (((~quiet(lucy)|~old(lucy)))=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((rich(X)|funny(X))<=>(creative(X)&funny(X))))&
(![X]:(calm(X)<=>~tall(X)))&
(((~funny(susan)&~strong(susan)))<=>(?[X]:((~rich(X)<~>curious(X)))))&
(((brave(fred)<~>~wise(fred)))=>(?[X]:((~kind(X)|~curious(X)))))&
(![X]:((strong(X)<~>~strong(X))=>(~ric... | ~calm(john) | [
"p5",
"p7",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3230430099688901007321617
% SZS output start Proof for 3230430099688901007321617
6. ! [X0] : ((strong(X0) <~> ~strong(X0)) => (strong(X0) | ~rich(X0))) [input p5]
8. ? [X0] : ~happy(X0) => ? [X0] : (rich(X0) & ~strong(X0)) [input p7]
10. ! [X0] : ((brave(X0) | humble(X0)) <=> (brave(X0) <... | 0 |
If someone is not funny or funny then someone is not funny and vice versa.
Everyone who is not patient is both brave and not brave.
If someone is both not calm and not kind then someone is either not tall or old and vice versa.
Everyone who is not brave is not tall and vice versa.
Everyone who is happy is not patient.
... | Lucy is not wise. | contradiction | ((?[X]:((~funny(X)|funny(X))))<=>(?[X]:(~funny(X))))&
(![X]:(~patient(X)=>(brave(X)&~brave(X))))&
((?[X]:((~calm(X)&~kind(X))))<=>(?[X]:((~tall(X)<~>old(X)))))&
(![X]:(~brave(X)<=>~tall(X)))&
(![X]:(happy(X)=>~patient(X)))&
(((old(paul)|~creative(paul)))<=>((~wise(lucy)<~>~calm(lucy))))&
(((~happy(lucy)&~patient(lucy))... | ~wise(lucy) | [
"p1",
"p4",
"p5",
"p8",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6627389395490073835161547
% SZS output start Proof for 6627389395490073835161547
2. ! [X0] : (~patient(X0) => (~brave(X0) & brave(X0))) [input p1]
5. ! [X0] : (happy(X0) => ~patient(X0)) [input p4]
6. (~creative(paul) | old(paul)) <=> (~wise(lucy) <~> ~calm(lucy)) [input p5]
9. ! [X0] : (... | 0 |
Everyone who is both not curious and kind is both curious and quiet and vice versa. Everyone who is either quiet or calm is both brave and kind and vice versa. Everyone who is both tall and old is funny or generous and vice versa. If someone is either not patient or creative then someone is not calm. If someone is eith... | Susan is strong. | contradiction | (![X]:((~curious(X)&kind(X))<=>(curious(X)&quiet(X))))&
(![X]:((quiet(X)<~>calm(X))<=>(brave(X)&kind(X))))&
(![X]:((tall(X)&old(X))<=>(funny(X)|generous(X))))&
((?[X]:((~patient(X)<~>creative(X))))=>(?[X]:(~calm(X))))&
((?[X]:((curious(X)<~>~kind(X))))=>(?[X]:((~old(X)&generous(X)))))&
(![X]:((~generous(X)|generous(X))... | strong(susan) | [
"p0",
"p2",
"p4",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9113794218695866479772872
% SZS output start Proof for 9113794218695866479772872
1. ! [X0] : ((kind(X0) & ~curious(X0)) <=> (quiet(X0) & curious(X0))) [input p0]
3. ! [X0] : ((old(X0) & tall(X0)) <=> (generous(X0) | funny(X0))) [input p2]
5. ? [X0] : (curious(X0) <~> ~kind(X0)) => ? [X0] ... | 0 |
Everyone who is either not kind or calm is both humble and wise and vice versa.
Everyone who is not brave is both strong and not tall and vice versa.
If alice is both creative and not quiet then lucy is strong and vice versa.
Everyone who is both old and humble is rich or brave and vice versa.
If alice is either curiou... | Fred is funny. | contradiction | (![X]:((~kind(X)<~>calm(X))<=>(humble(X)&wise(X))))&
(![X]:(~brave(X)<=>(strong(X)&~tall(X))))&
(((creative(alice)&~quiet(alice)))<=>(strong(lucy)))&
(![X]:((old(X)&humble(X))<=>(rich(X)|brave(X))))&
(((curious(alice)<~>~brave(alice)))=>(?[X]:((~creative(X)&curious(X)))))&
(((happy(john)<~>patient(john)))<=>(?[X]:(brav... | funny(fred) | [
"p1",
"p3",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4536789923394520527150602
% SZS output start Proof for 4536789923394520527150602
2. ! [X0] : (~brave(X0) <=> (~tall(X0) & strong(X0))) [input p1]
4. ! [X0] : ((humble(X0) & old(X0)) <=> (brave(X0) | rich(X0))) [input p3]
7. funny(fred) <=> (rich(john) & ~quiet(john)) [input p6]
10. ! [X0]... | 0 |
Everyone who is wise or creative is either happy or not brave and vice versa.
Everyone who is either not humble or curious is kind and vice versa.
Everyone who is either not curious or strong is not creative and vice versa.
If john is creative or not patient then alice is either calm or not brave and vice versa.
If som... | Susan is tall. | neutral | (![X]:((wise(X)|creative(X))<=>(happy(X)<~>~brave(X))))&
(![X]:((~humble(X)<~>curious(X))<=>kind(X)))&
(![X]:((~curious(X)<~>strong(X))<=>~creative(X)))&
(((creative(john)|~patient(john)))<=>((calm(alice)<~>~brave(alice))))&
((?[X]:((strong(X)<~>~old(X))))<=>((~humble(alice)&brave(alice))))&
(((~generous(john)&~humble(... | tall(susan) | [] | null | 0 |
If paul is either not kind or quiet then someone is not old and vice versa.
Everyone who is both not curious and not patient is tall and vice versa.
If fred is not generous then paul is both not strong and not humble.
If lucy is either not generous or curious then lucy is both not patient and brave.
Everyone who is bot... | Susan is happy. | entailment | (((~kind(paul)<~>quiet(paul)))<=>(?[X]:(~old(X))))&
(![X]:((~curious(X)&~patient(X))<=>tall(X)))&
((~generous(fred))=>((~strong(paul)&~humble(paul))))&
(((~generous(lucy)<~>curious(lucy)))=>((~patient(lucy)&brave(lucy))))&
(![X]:((rich(X)&~quiet(X))<=>(~curious(X)&~creative(X))))&
(![X]:((~rich(X)&quiet(X))=>(~wise(X)|... | happy(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2248043494924976756743457
% SZS output start Proof for 2248043494924976756743457
21. ~old(susan) & happy(susan) [input p20]
25. ~happy(susan) [input hypothesis]
116. happy(susan) [cnf transformation 21]
122. ~happy(susan) [cnf transformation 25]
231. $false [subsumption resolution 122,116... | 0 |
Everyone who is not brave is tall. If someone is both tall and not humble then mary is calm. If someone is not rich or not humble then john is tall or patient and vice versa. Everyone who is both not wise and not quiet is not funny. Everyone who is old or not strong is both kind and generous. Everyone who is either not... | Susan is not wise. | neutral | (![X]:(~brave(X)=>tall(X)))&
((?[X]:((tall(X)&~humble(X))))=>(calm(mary)))&
((?[X]:((~rich(X)|~humble(X))))<=>((tall(john)|patient(john))))&
(![X]:((~wise(X)&~quiet(X))=>~funny(X)))&
(![X]:((old(X)|~strong(X))=>(kind(X)&generous(X))))&
(![X]:((~patient(X)<~>wise(X))<=>(strong(X)&~wise(X))))&
((?[X]:((old(X)&~calm(X))))... | ~wise(susan) | [] | null | 0 |
Everyone who is both strong and creative is both not kind and humble and vice versa. Everyone who is not curious or strong is both not curious and wise. Everyone who is not curious is funny and vice versa. Everyone who is quiet is either funny or old and vice versa. Everyone who is either not generous or wise is both n... | John is not funny. | entailment | (![X]:((strong(X)&creative(X))<=>(~kind(X)&humble(X))))&
(![X]:((~curious(X)|strong(X))=>(~curious(X)&wise(X))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:(quiet(X)<=>(funny(X)<~>old(X))))&
(![X]:((~generous(X)<~>wise(X))=>(~patient(X)&brave(X))))&
((?[X]:((patient(X)<~>wise(X))))<=>(?[X]:((~happy(X)&curious(X)))))&
(((s... | ~funny(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2996782598832445794963160
% SZS output start Proof for 2996782598832445794963160
13. ! [X0] : (funny(X0) <=> (~funny(X0) & ~old(X0))) [input p12]
23. funny(john) [input hypothesis]
51. ! [X0] : ((funny(X0) | (funny(X0) | old(X0))) & ((~funny(X0) & ~old(X0)) | ~funny(X0))) [nnf transformat... | 0 |
Everyone who is either not happy or not creative is both not quiet and not funny. Everyone who is both not creative and curious is both not rich and creative and vice versa. Everyone who is both curious and funny is both not patient and not tall. If someone is old or curious then someone is both not humble and not quie... | Paul is tall. | contradiction | (![X]:((~happy(X)<~>~creative(X))=>(~quiet(X)&~funny(X))))&
(![X]:((~creative(X)&curious(X))<=>(~rich(X)&creative(X))))&
(![X]:((curious(X)&funny(X))=>(~patient(X)&~tall(X))))&
((?[X]:((old(X)|curious(X))))=>(?[X]:((~humble(X)&~quiet(X)))))&
((?[X]:((~calm(X)&patient(X))))<=>(?[X]:(creative(X))))&
(((~wise(lucy)<~>~cur... | tall(paul) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5457505707019207877915590
% SZS output start Proof for 5457505707019207877915590
23. ~tall(paul) & ~strong(paul) [input p22]
24. tall(paul) [input hypothesis]
28. ~tall(paul) [pure predicate removal 23]
152. ~tall(paul) [cnf transformation 28]
153. tall(paul) [cnf transformation 24]
355. ... | 0 |
Everyone who is not wise or funny is either not wise or not curious. If john is either not strong or strong then paul is either rich or curious and vice versa. Everyone who is either not funny or not creative is curious and vice versa. Everyone who is not rich or not happy is creative or not patient. Everyone who is ei... | Fred is not quiet. | contradiction | (![X]:((~wise(X)|funny(X))=>(~wise(X)<~>~curious(X))))&
(((~strong(john)<~>strong(john)))<=>((rich(paul)<~>curious(paul))))&
(![X]:((~funny(X)<~>~creative(X))<=>curious(X)))&
(![X]:((~rich(X)|~happy(X))=>(creative(X)|~patient(X))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~patient(X)<~>calm(X))))&
(![X]:((~happy(X)|~curious(X... | ~quiet(fred) | [
"p2",
"p4",
"p5",
"p8",
"p11",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7603320356623149297636376
% SZS output start Proof for 7603320356623149297636376
3. ! [X0] : ((~funny(X0) <~> ~creative(X0)) <=> curious(X0)) [input p2]
5. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~patient(X0) <~> calm(X0))) [input p4]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) => (generou... | 0 |
Everyone who is either not curious or generous is humble and vice versa. Everyone who is old is either happy or not creative. Everyone who is both old and not happy is generous or not rich and vice versa. If someone is not patient then someone is both wise and creative and vice versa. If john is not funny then someone ... | Susan is not calm. | contradiction | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((wise(X)&creative(X)))))&
((~funny(john))<=>(?[X]:((kind(X)|happy(X)))))&
((?[X]:((happy(X)|funny(X))))=>(?[X]:((~funny(X)|happy(X)))))&
((~b... | ~calm(susan) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 393616950475481733354585
% SZS output start Proof for 393616950475481733354585
14. ! [X0] : (curious(X0) <=> (calm(X0) & tall(X0))) [input p13]
15. ! [X0] : ((~calm(X0) | patient(X0)) <=> curious(X0)) [input p14]
24. ~calm(susan) [input hypothesis]
63. ! [X0] : ((curious(X0) | (~calm(X0) ... | 0 |
Everyone who is not rich or humble is patient or wise.
If alice is tall or not patient then someone is both quiet and patient and vice versa.
Everyone who is not calm is both not patient and curious and vice versa.
If lucy is both not wise and wise then someone is wise or not quiet and vice versa.
Everyone who is both ... | Fred is calm. | entailment | (![X]:((~rich(X)|humble(X))=>(patient(X)|wise(X))))&
(((tall(alice)|~patient(alice)))<=>(?[X]:((quiet(X)&patient(X)))))&
(![X]:(~calm(X)<=>(~patient(X)&curious(X))))&
(((~wise(lucy)&wise(lucy)))<=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:((~humble(X)&~tall(X))<=>(calm(X)&~funny(X))))&
(![X]:((curious(X)<~>~quiet(X))<=>(~ol... | calm(fred) | [
"p0",
"p2",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5881852421788455126413628
% SZS output start Proof for 5881852421788455126413628
1. ! [X0] : ((humble(X0) | ~rich(X0)) => (wise(X0) | patient(X0))) [input p0]
3. ! [X0] : (~calm(X0) <=> (curious(X0) & ~patient(X0))) [input p2]
10. ! [X0] : ((~rich(X0) <~> ~tall(X0)) <=> (calm(X0) | tall(X... | 0 |
If someone is either not quiet or creative then john is either tall or calm. Everyone who is either happy or strong is not calm. Everyone who is quiet is either not tall or not happy and vice versa. Everyone who is either tall or kind is tall and vice versa. If someone is either not strong or not curious then john is c... | John is tall. | neutral | ((?[X]:((~quiet(X)<~>creative(X))))=>((tall(john)<~>calm(john))))&
(![X]:((happy(X)<~>strong(X))=>~calm(X)))&
(![X]:(quiet(X)<=>(~tall(X)<~>~happy(X))))&
(![X]:((tall(X)<~>kind(X))<=>tall(X)))&
((?[X]:((~strong(X)<~>~curious(X))))=>((creative(john)|wise(john))))&
(![X]:((generous(X)&~humble(X))<=>rich(X)))&
((?[X]:((~f... | tall(john) | [] | null | 0 |
If alice is both generous and not curious then lucy is not tall and vice versa.
If fred is either not creative or curious then paul is either not happy or not tall and vice versa.
Everyone who is wise is generous or not wise and vice versa.
If lucy is either old or quiet then someone is not funny.
Everyone who is both ... | Lucy is not rich. | entailment | (((generous(alice)&~curious(alice)))<=>(~tall(lucy)))&
(((~creative(fred)<~>curious(fred)))<=>((~happy(paul)<~>~tall(paul))))&
(![X]:(wise(X)<=>(generous(X)|~wise(X))))&
(((old(lucy)<~>quiet(lucy)))=>(?[X]:(~funny(X))))&
(![X]:((~rich(X)&~tall(X))<=>(~strong(X)|funny(X))))&
(![X]:((humble(X)&~kind(X))<=>kind(X)))&
(![X... | ~rich(lucy) | [
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 926485303613430813332418
% SZS output start Proof for 926485303613430813332418
6. ! [X0] : ((~kind(X0) & humble(X0)) <=> kind(X0)) [input p5]
8. ! [X0] : ((old(X0) | brave(X0)) <=> (~brave(X0) <~> ~rich(X0))) [input p7]
9. ! [X0] : (~kind(X0) <=> (~old(X0) & ~funny(X0))) [input p8]
25. ri... | 0 |
Everyone who is not kind is not calm.
Everyone who is either not generous or strong is tall or funny and vice versa.
If lucy is not rich or patient then someone is brave.
Everyone who is both tall and not creative is either kind or old and vice versa.
If lucy is rich then someone is either not funny or old.
Everyone wh... | Alice is tall. | neutral | (![X]:(~kind(X)=>~calm(X)))&
(![X]:((~generous(X)<~>strong(X))<=>(tall(X)|funny(X))))&
(((~rich(lucy)|patient(lucy)))=>(?[X]:(brave(X))))&
(![X]:((tall(X)&~creative(X))<=>(kind(X)<~>old(X))))&
((rich(lucy))=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:((wise(X)<~>~tall(X))=>(happy(X)<~>tall(X))))&
((?[X]:((funny(X)&~quiet(X)... | tall(alice) | [] | null | 0 |
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