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 strong or not rich then susan is not rich or curious and vice versa.
If someone is not calm then paul is curious or creative.
Everyone who is not wise or curious is both not generous and kind and vice versa.
If john is both not old and happy then john is not generous or wise and vice versa.
Everyone who i... | Fred is tall. | entailment | ((?[X]:((strong(X)|~rich(X))))<=>((~rich(susan)|curious(susan))))&
((?[X]:(~calm(X)))=>((curious(paul)|creative(paul))))&
(![X]:((~wise(X)|curious(X))<=>(~generous(X)&kind(X))))&
(((~old(john)&happy(john)))<=>((~generous(john)|wise(john))))&
(![X]:((~kind(X)|~patient(X))<=>(~funny(X)&funny(X))))&
(![X]:((rich(X)<~>~tal... | tall(fred) | [
"p4",
"p5",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 384439235214281933295337
% SZS output start Proof for 384439235214281933295337
5. ! [X0] : ((~patient(X0) | ~kind(X0)) <=> (funny(X0) & ~funny(X0))) [input p4]
6. ! [X0] : ((rich(X0) <~> ~tall(X0)) => (tall(X0) & ~quiet(X0))) [input p5]
11. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> (tall(X0) ... | 0 |
If someone is not old or not quiet then alice is both not quiet and not wise and vice versa. If mary is not kind or not wise then alice is either old or not calm. Everyone who is not rich is old. Everyone who is happy or not quiet is not curious or curious and vice versa. If lucy is not old then alice is not old and vi... | Paul is not creative. | neutral | ((?[X]:((~old(X)|~quiet(X))))<=>((~quiet(alice)&~wise(alice))))&
(((~kind(mary)|~wise(mary)))=>((old(alice)<~>~calm(alice))))&
(![X]:(~rich(X)=>old(X)))&
(![X]:((happy(X)|~quiet(X))<=>(~curious(X)|curious(X))))&
((~old(lucy))<=>(~old(alice)))&
(((calm(lucy)<~>~generous(lucy)))=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:((~qu... | ~creative(paul) | [] | null | 0 |
Everyone who is both patient and wise is both funny and not creative. Everyone who is either not funny or wise is either brave or not rich. Everyone who is not quiet is both not brave and curious. If susan is both not curious and calm then someone is both not patient and not rich and vice versa. If someone is both crea... | Fred is not funny. | contradiction | (![X]:((patient(X)&wise(X))=>(funny(X)&~creative(X))))&
(![X]:((~funny(X)<~>wise(X))=>(brave(X)<~>~rich(X))))&
(![X]:(~quiet(X)=>(~brave(X)&curious(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((creative(X)&curious(X))))<=>(?[X]:((patient(X)|~funny(X)))))&
((?[X]:((humble(X)|~quiet... | ~funny(fred) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6966437155214369357508247
% SZS output start Proof for 6966437155214369357508247
5. ? [X0] : (curious(X0) & creative(X0)) <=> ? [X0] : (~funny(X0) | patient(X0)) [input p4]
8. ! [X0] : ((~strong(X0) | creative(X0)) => ~creative(X0)) [input p7]
25. ~funny(fred) [input hypothesis]
26. ? [X0... | 0 |
If someone is either not rich or happy then someone is both generous and kind and vice versa.
If someone is both not funny and creative then someone is either not patient or creative and vice versa.
Everyone who is both not patient and curious is both kind and not rich and vice versa.
Everyone who is both not brave and... | Susan is happy. | entailment | ((?[X]:((~rich(X)<~>happy(X))))<=>(?[X]:((generous(X)&kind(X)))))&
((?[X]:((~funny(X)&creative(X))))<=>(?[X]:((~patient(X)<~>creative(X)))))&
(![X]:((~patient(X)&curious(X))<=>(kind(X)&~rich(X))))&
(![X]:((~brave(X)&~rich(X))=>(~creative(X)|~happy(X))))&
(![X]:((~rich(X)|~happy(X))=>(~patient(X)<~>~happy(X))))&
(![X]:(... | happy(susan) | [
"p4",
"p5",
"p7",
"p10",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 964286405548463044568554
% SZS output start Proof for 964286405548463044568554
5. ! [X0] : ((~happy(X0) | ~rich(X0)) => (~patient(X0) <~> ~happy(X0))) [input p4]
6. ! [X0] : (~curious(X0) <=> (~happy(X0) | generous(X0))) [input p5]
8. ? [X0] : (~happy(X0) & ~strong(X0)) => ? [X0] : (wise(... | 0 |
Everyone who is both not strong and not rich is not happy or creative.
Everyone who is tall is not tall.
If john is either humble or not strong then fred is either patient or calm and vice versa.
Everyone who is either not kind or not humble is not kind.
If mary is both rich and funny then someone is not quiet or funny... | Alice is patient. | neutral | (![X]:((~strong(X)&~rich(X))=>(~happy(X)|creative(X))))&
(![X]:(tall(X)=>~tall(X)))&
(((humble(john)<~>~strong(john)))<=>((patient(fred)<~>calm(fred))))&
(![X]:((~kind(X)<~>~humble(X))=>~kind(X)))&
(((rich(mary)&funny(mary)))=>(?[X]:((~quiet(X)|funny(X)))))&
((?[X]:(kind(X)))=>(?[X]:((~wise(X)&happy(X)))))&
((?[X]:((wi... | patient(alice) | [] | null | 0 |
If lucy is either not generous or happy then someone is both not strong and strong. If someone is not curious or kind then john is both not kind and not happy. If someone is both not kind and rich then lucy is either humble or not curious. Everyone who is not rich is curious and vice versa. Everyone who is old or not b... | John is not creative. | entailment | (((~generous(lucy)<~>happy(lucy)))=>(?[X]:((~strong(X)&strong(X)))))&
((?[X]:((~curious(X)|kind(X))))=>((~kind(john)&~happy(john))))&
((?[X]:((~kind(X)&rich(X))))=>((humble(lucy)<~>~curious(lucy))))&
(![X]:(~rich(X)<=>curious(X)))&
(![X]:((old(X)|~brave(X))<=>rich(X)))&
(![X]:((~old(X)|~humble(X))<=>(~creative(X)&rich(... | ~creative(john) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7629853772815567260729057
% SZS output start Proof for 7629853772815567260729057
6. ! [X0] : ((~humble(X0) | ~old(X0)) <=> (rich(X0) & ~creative(X0))) [input p5]
15. ! [X0] : ((~patient(X0) & patient(X0)) <=> humble(X0)) [input p14]
23. creative(john) [input hypothesis]
42. ! [X0] : (((~h... | 0 |
Everyone who is old or not calm is not humble.
Everyone who is brave is both tall and not happy.
Everyone who is either not patient or calm is not generous or not rich.
Everyone who is both quiet and not old is not patient and vice versa.
If mary is both calm and not tall then someone is not rich.
Everyone who is eithe... | Mary is not rich. | neutral | (![X]:((old(X)|~calm(X))=>~humble(X)))&
(![X]:(brave(X)=>(tall(X)&~happy(X))))&
(![X]:((~patient(X)<~>calm(X))=>(~generous(X)|~rich(X))))&
(![X]:((quiet(X)&~old(X))<=>~patient(X)))&
(((calm(mary)&~tall(mary)))=>(?[X]:(~rich(X))))&
(![X]:((~generous(X)<~>creative(X))<=>(strong(X)<~>~generous(X))))&
(![X]:((~strong(X)|~c... | ~rich(mary) | [] | null | 0 |
If someone is generous or not brave then someone is either kind or not quiet. Everyone who is both curious and not tall is either humble or not tall. Everyone who is both funny and not creative is either quiet or not calm. Everyone who is both not patient and patient is either funny or not rich. If someone is both crea... | John is tall. | contradiction | ((?[X]:((generous(X)|~brave(X))))=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:((curious(X)&~tall(X))=>(humble(X)<~>~tall(X))))&
(![X]:((funny(X)&~creative(X))=>(quiet(X)<~>~calm(X))))&
(![X]:((~patient(X)&patient(X))=>(funny(X)<~>~rich(X))))&
((?[X]:((creative(X)&~old(X))))=>(?[X]:(~calm(X))))&
(![X]:(old(X)<=>(~humble(X)&... | tall(john) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8929886306270010058596386
% SZS output start Proof for 8929886306270010058596386
19. ~humble(john) & ~tall(john) [input p18]
25. tall(john) [input hypothesis]
124. ~tall(john) [cnf transformation 19]
132. tall(john) [cnf transformation 25]
235. $false [subsumption resolution 132,124]
% SZ... | 0 |
Everyone who is not rich or kind is both not tall and happy and vice versa.
Everyone who is brave is both not funny and wise and vice versa.
Everyone who is both quiet and not creative is either happy or not kind.
If someone is not curious or not wise then lucy is not humble and vice versa.
If lucy is both humble and n... | Alice is curious. | neutral | (![X]:((~rich(X)|kind(X))<=>(~tall(X)&happy(X))))&
(![X]:(brave(X)<=>(~funny(X)&wise(X))))&
(![X]:((quiet(X)&~creative(X))=>(happy(X)<~>~kind(X))))&
((?[X]:((~curious(X)|~wise(X))))<=>(~humble(lucy)))&
(((humble(lucy)&~humble(lucy)))<=>(?[X]:((~curious(X)<~>happy(X)))))&
((tall(susan))<=>(?[X]:((~old(X)|quiet(X)))))&
(... | curious(alice) | [] | null | 0 |
Everyone who is both funny and not funny is not humble or not calm and vice versa. If someone is not strong then fred is either not tall or not happy and vice versa. Everyone who is either not funny or old is both not calm and not strong and vice versa. If paul is either not quiet or not calm then john is curious or ge... | Paul is not calm. | contradiction | (![X]:((funny(X)&~funny(X))<=>(~humble(X)|~calm(X))))&
((?[X]:(~strong(X)))<=>((~tall(fred)<~>~happy(fred))))&
(![X]:((~funny(X)<~>old(X))<=>(~calm(X)&~strong(X))))&
(((~quiet(paul)<~>~calm(paul)))<=>((curious(john)|generous(john))))&
(![X]:(~old(X)=>(wise(X)&humble(X))))&
(![X]:(~strong(X)<=>(~old(X)<~>~humble(X))))&
... | ~calm(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 518124948947307649743284
% SZS output start Proof for 518124948947307649743284
1. ! [X0] : ((~funny(X0) & funny(X0)) <=> (~calm(X0) | ~humble(X0))) [input p0]
22. ~calm(paul) [input hypothesis]
31. ! [X0] : (((~funny(X0) & funny(X0)) | (calm(X0) & humble(X0))) & ((~calm(X0) | ~humble(X0))... | 0 |
Everyone who is not generous is curious.
If susan is not happy or old then someone is not humble and vice versa.
Everyone who is both tall and kind is both generous and rich and vice versa.
If john is rich then lucy is both not funny and not rich and vice versa.
Everyone who is calm or humble is both creative and tall ... | Fred is not creative. | contradiction | (![X]:(~generous(X)=>curious(X)))&
(((~happy(susan)|old(susan)))<=>(?[X]:(~humble(X))))&
(![X]:((tall(X)&kind(X))<=>(generous(X)&rich(X))))&
((rich(john))<=>((~funny(lucy)&~rich(lucy))))&
(![X]:((calm(X)|humble(X))<=>(creative(X)&tall(X))))&
(((creative(alice)<~>~calm(alice)))=>((~tall(paul)|generous(paul))))&
(![X]:(s... | ~creative(fred) | [
"p4",
"p8",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6458760719399957326642370
% SZS output start Proof for 6458760719399957326642370
5. ! [X0] : ((humble(X0) | calm(X0)) <=> (tall(X0) & creative(X0))) [input p4]
9. ! [X0] : ((old(X0) | ~calm(X0)) => brave(X0)) [input p8]
10. ! [X0] : ((old(X0) <~> ~rich(X0)) <=> rich(X0)) [input p9]
15. ! ... | 0 |
Everyone who is both not funny and not humble is tall or rich.
Everyone who is either not humble or brave is generous and vice versa.
Everyone who is either not kind or kind is brave or wise and vice versa.
Everyone who is both not funny and not strong is calm and vice versa.
If someone is not funny then susan is eithe... | John is rich. | neutral | (![X]:((~funny(X)&~humble(X))=>(tall(X)|rich(X))))&
(![X]:((~humble(X)<~>brave(X))<=>generous(X)))&
(![X]:((~kind(X)<~>kind(X))<=>(brave(X)|wise(X))))&
(![X]:((~funny(X)&~strong(X))<=>calm(X)))&
((?[X]:(~funny(X)))<=>((~brave(susan)<~>curious(susan))))&
((~generous(susan))<=>(?[X]:((patient(X)&humble(X)))))&
((?[X]:((o... | rich(john) | [] | null | 0 |
Everyone who is patient or not patient is both not wise and patient and vice versa. Everyone who is not old or brave is either not kind or not generous. Everyone who is either not generous or not curious is both not old and funny. Everyone who is both quiet and not curious is not wise or brave and vice versa. Everyone ... | Fred is not quiet. | contradiction | (![X]:((patient(X)|~patient(X))<=>(~wise(X)&patient(X))))&
(![X]:((~old(X)|brave(X))=>(~kind(X)<~>~generous(X))))&
(![X]:((~generous(X)<~>~curious(X))=>(~old(X)&funny(X))))&
(![X]:((quiet(X)&~curious(X))<=>(~wise(X)|brave(X))))&
(![X]:(~kind(X)<=>(calm(X)&humble(X))))&
((?[X]:(patient(X)))=>(?[X]:((creative(X)&generous... | ~quiet(fred) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 852236033219553782763267
% SZS output start Proof for 852236033219553782763267
1. ! [X0] : ((~patient(X0) | patient(X0)) <=> (patient(X0) & ~wise(X0))) [input p0]
4. ! [X0] : ((~curious(X0) & quiet(X0)) <=> (brave(X0) | ~wise(X0))) [input p3]
24. ~quiet(fred) [input hypothesis]
39. ! [X0]... | 0 |
Everyone who is both not quiet and generous is old or not creative and vice versa. Everyone who is both not old and not generous is either not happy or not generous. Everyone who is either brave or not tall is either not old or not rich and vice versa. Everyone who is creative is not strong or kind. If alice is not fun... | Lucy is not brave. | neutral | (![X]:((~quiet(X)&generous(X))<=>(old(X)|~creative(X))))&
(![X]:((~old(X)&~generous(X))=>(~happy(X)<~>~generous(X))))&
(![X]:((brave(X)<~>~tall(X))<=>(~old(X)<~>~rich(X))))&
(![X]:(creative(X)=>(~strong(X)|kind(X))))&
(((~funny(alice)|rich(alice)))=>(patient(fred)))&
(((old(alice)&~creative(alice)))<=>(?[X]:((happy(X)|... | ~brave(lucy) | [] | null | 0 |
If someone is not tall or tall then mary is kind and vice versa. If someone is not wise or not creative then someone is either not wise or wise and vice versa. Everyone who is both patient and not funny is rich and vice versa. Everyone who is both not brave and not kind is either not patient or not kind. Everyone who i... | Alice is not happy. | neutral | ((?[X]:((~tall(X)|tall(X))))<=>(kind(mary)))&
((?[X]:((~wise(X)|~creative(X))))<=>(?[X]:((~wise(X)<~>wise(X)))))&
(![X]:((patient(X)&~funny(X))<=>rich(X)))&
(![X]:((~brave(X)&~kind(X))=>(~patient(X)<~>~kind(X))))&
(![X]:((~calm(X)<~>creative(X))<=>(~patient(X)<~>brave(X))))&
((?[X]:((~calm(X)|happy(X))))=>((old(fred)|h... | ~happy(alice) | [] | null | 0 |
Everyone who is either patient or not old is either not rich or not happy and vice versa.
Everyone who is either humble or not curious is either calm or not tall.
Everyone who is either not strong or old is either strong or brave and vice versa.
If paul is either not old or not patient then someone is calm.
Everyone wh... | Paul is not tall. | contradiction | (![X]:((patient(X)<~>~old(X))<=>(~rich(X)<~>~happy(X))))&
(![X]:((humble(X)<~>~curious(X))=>(calm(X)<~>~tall(X))))&
(![X]:((~strong(X)<~>old(X))<=>(strong(X)<~>brave(X))))&
(((~old(paul)<~>~patient(paul)))=>(?[X]:(calm(X))))&
(![X]:((creative(X)|~brave(X))=>curious(X)))&
(![X]:(humble(X)<=>(~strong(X)&curious(X))))&
(!... | ~tall(paul) | [
"p0",
"p1",
"p4",
"p9",
"p10",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3880985608271726704645416
% SZS output start Proof for 3880985608271726704645416
1. ! [X0] : ((patient(X0) <~> ~old(X0)) <=> (~rich(X0) <~> ~happy(X0))) [input p0]
2. ! [X0] : ((humble(X0) <~> ~curious(X0)) => (calm(X0) <~> ~tall(X0))) [input p1]
5. ! [X0] : ((~brave(X0) | creative(X0)) =... | 0 |
Everyone who is either kind or not patient is tall and vice versa. Everyone who is creative is not funny or not generous. Everyone who is not old or humble is either humble or generous. Everyone who is calm or happy is kind and vice versa. Everyone who is quiet is both not generous and not kind. Everyone who is both ki... | Lucy is rich. | contradiction | (![X]:((kind(X)<~>~patient(X))<=>tall(X)))&
(![X]:(creative(X)=>(~funny(X)|~generous(X))))&
(![X]:((~old(X)|humble(X))=>(humble(X)<~>generous(X))))&
(![X]:((calm(X)|happy(X))<=>kind(X)))&
(![X]:(quiet(X)=>(~generous(X)&~kind(X))))&
(![X]:((kind(X)&generous(X))<=>(rich(X)|~brave(X))))&
(((~brave(alice)&funny(alice)))=>(... | rich(lucy) | [
"p0",
"p2",
"p5",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5277803981941472526626328
% SZS output start Proof for 5277803981941472526626328
1. ! [X0] : ((kind(X0) <~> ~patient(X0)) <=> tall(X0)) [input p0]
3. ! [X0] : ((humble(X0) | ~old(X0)) => (humble(X0) <~> generous(X0))) [input p2]
6. ! [X0] : ((generous(X0) & kind(X0)) <=> (~brave(X0) | ric... | 0 |
Everyone who is either generous or not rich is patient. If someone is either strong or brave then fred is not funny. Everyone who is creative or not wise is curious. Everyone who is not creative or not happy is both curious and wise. Everyone who is rich or not creative is both not kind and not curious and vice versa. ... | Lucy is not rich. | entailment | (![X]:((generous(X)<~>~rich(X))=>patient(X)))&
((?[X]:((strong(X)<~>brave(X))))=>(~funny(fred)))&
(![X]:((creative(X)|~wise(X))=>curious(X)))&
(![X]:((~creative(X)|~happy(X))=>(curious(X)&wise(X))))&
(![X]:((rich(X)|~creative(X))<=>(~kind(X)&~curious(X))))&
((?[X]:(~kind(X)))<=>(calm(paul)))&
(![X]:((~humble(X)<~>quiet... | ~rich(lucy) | [
"p2",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5447512961302842990987410
% SZS output start Proof for 5447512961302842990987410
3. ! [X0] : ((~wise(X0) | creative(X0)) => curious(X0)) [input p2]
4. ! [X0] : ((~happy(X0) | ~creative(X0)) => (wise(X0) & curious(X0))) [input p3]
5. ! [X0] : ((~creative(X0) | rich(X0)) <=> (~curious(X0) &... | 0 |
Everyone who is both not creative and not calm is either not patient or kind and vice versa. If susan is not quiet or not kind then someone is both not rich and not generous and vice versa. Everyone who is not brave or not strong is both tall and curious and vice versa. If someone is either kind or brave then someone i... | Susan is not humble. | entailment | (![X]:((~creative(X)&~calm(X))<=>(~patient(X)<~>kind(X))))&
(((~quiet(susan)|~kind(susan)))<=>(?[X]:((~rich(X)&~generous(X)))))&
(![X]:((~brave(X)|~strong(X))<=>(tall(X)&curious(X))))&
((?[X]:((kind(X)<~>brave(X))))=>(?[X]:((quiet(X)|~curious(X)))))&
(((~happy(alice)<~>tall(alice)))<=>(?[X]:((happy(X)&~rich(X)))))&
(![... | ~humble(susan) | [
"p1",
"p2",
"p5",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 13116238845390177936199
% SZS output start Proof for 13116238845390177936199
2. (~kind(susan) | ~quiet(susan)) <=> ? [X0] : (~generous(X0) & ~rich(X0)) [input p1]
3. ! [X0] : ((~strong(X0) | ~brave(X0)) <=> (curious(X0) & tall(X0))) [input p2]
6. ! [X0] : ((~rich(X0) | ~patient(X0)) => (~... | 0 |
If mary is not wise then susan is not brave and vice versa. Everyone who is either not quiet or humble is both happy and kind and vice versa. If fred is both not calm and curious then alice is not kind and vice versa. Everyone who is tall is either calm or not humble. Everyone who is either not generous or curious is b... | Mary is not rich. | neutral | ((~wise(mary))<=>(~brave(susan)))&
(![X]:((~quiet(X)<~>humble(X))<=>(happy(X)&kind(X))))&
(((~calm(fred)&curious(fred)))<=>(~kind(alice)))&
(![X]:(tall(X)=>(calm(X)<~>~humble(X))))&
(![X]:((~generous(X)<~>curious(X))=>(~rich(X)&~generous(X))))&
(![X]:((~kind(X)<~>brave(X))<=>(~patient(X)&~happy(X))))&
(![X]:(~brave(X)=... | ~rich(mary) | [] | null | 0 |
Everyone who is not humble or calm is both old and patient and vice versa.
If someone is not strong then someone is either not generous or quiet and vice versa.
Everyone who is not generous or patient is tall or not strong and vice versa.
Everyone who is quiet or not strong is not funny.
Everyone who is either brave or... | Fred is generous. | contradiction | (![X]:((~humble(X)|calm(X))<=>(old(X)&patient(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~generous(X)<~>quiet(X)))))&
(![X]:((~generous(X)|patient(X))<=>(tall(X)|~strong(X))))&
(![X]:((quiet(X)|~strong(X))=>~funny(X)))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)|~calm(X))))&
(((quiet(lucy)&generous(lucy)))<=>(?[X]:(~brave(X... | generous(fred) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8445005782610540737363297
% SZS output start Proof for 8445005782610540737363297
1. ! [X0] : ((calm(X0) | ~humble(X0)) <=> (patient(X0) & old(X0))) [input p0]
3. ! [X0] : ((patient(X0) | ~generous(X0)) <=> (~strong(X0) | tall(X0))) [input p2]
4. ! [X0] : ((~strong(X0) | quiet(X0)) => ~fun... | 0 |
If mary is both curious and not wise then fred is both tall and curious.
If mary is not calm then mary is both not quiet and not kind and vice versa.
Everyone who is curious or wise is rich or calm.
If someone is not calm or tall then paul is curious and vice versa.
Everyone who is rich is either funny or strong.
If fr... | Lucy is curious. | neutral | (((curious(mary)&~wise(mary)))=>((tall(fred)&curious(fred))))&
((~calm(mary))<=>((~quiet(mary)&~kind(mary))))&
(![X]:((curious(X)|wise(X))=>(rich(X)|calm(X))))&
((?[X]:((~calm(X)|tall(X))))<=>(curious(paul)))&
(![X]:(rich(X)=>(funny(X)<~>strong(X))))&
(((wise(fred)&humble(fred)))=>((~strong(alice)<~>tall(alice))))&
(![... | curious(lucy) | [] | null | 0 |
Everyone who is both rich and kind is generous.
If someone is both happy and humble then someone is generous or not old and vice versa.
Everyone who is calm is curious.
If john is not funny or not wise then mary is either not brave or not happy and vice versa.
Everyone who is either wise or strong is both creative and ... | Alice is patient. | contradiction | (![X]:((rich(X)&kind(X))=>generous(X)))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:((generous(X)|~old(X)))))&
(![X]:(calm(X)=>curious(X)))&
(((~funny(john)|~wise(john)))<=>((~brave(mary)<~>~happy(mary))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)&~wise(X))))&
(![X]:(~brave(X)<=>(~creative(X)|~patient(X))))&
((?[X]:((~g... | patient(alice) | [
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6532598588201419142555570
% SZS output start Proof for 6532598588201419142555570
13. ! [X0] : ((~quiet(X0) | brave(X0)) => (~rich(X0) & ~patient(X0))) [input p12]
15. ! [X0] : ((~generous(X0) & ~quiet(X0)) <=> (curious(X0) | creative(X0))) [input p14]
19. old(alice) & creative(alice) [inp... | 0 |
If someone is not quiet then john is rich or curious.
If fred is either not old or not happy then someone is not patient and vice versa.
If someone is either creative or strong then someone is not strong or patient.
Everyone who is both not kind and kind is either patient or creative.
Everyone who is not kind is not ri... | Mary is not old. | entailment | ((?[X]:(~quiet(X)))=>((rich(john)|curious(john))))&
(((~old(fred)<~>~happy(fred)))<=>(?[X]:(~patient(X))))&
((?[X]:((creative(X)<~>strong(X))))=>(?[X]:((~strong(X)|patient(X)))))&
(![X]:((~kind(X)&kind(X))=>(patient(X)<~>creative(X))))&
(![X]:(~kind(X)=>~rich(X)))&
(![X]:((happy(X)&~old(X))<=>~calm(X)))&
(![X]:(happy(X... | ~old(mary) | [
"p5",
"p6",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1977899051119989482337235
% SZS output start Proof for 1977899051119989482337235
6. ! [X0] : ((~old(X0) & happy(X0)) <=> ~calm(X0)) [input p5]
7. ! [X0] : (happy(X0) <=> (brave(X0) & ~creative(X0))) [input p6]
9. ! [X0] : ((~calm(X0) | creative(X0)) <=> (brave(X0) | funny(X0))) [input p8]... | 0 |
Everyone who is either generous or curious is either not calm or not tall and vice versa.
If john is both generous and not calm then someone is not curious and vice versa.
Everyone who is both not generous and not creative is either kind or creative.
If paul is not rich then mary is not creative.
If alice is both humbl... | Mary is creative. | contradiction | (![X]:((generous(X)<~>curious(X))<=>(~calm(X)<~>~tall(X))))&
(((generous(john)&~calm(john)))<=>(?[X]:(~curious(X))))&
(![X]:((~generous(X)&~creative(X))=>(kind(X)<~>creative(X))))&
((~rich(paul))=>(~creative(mary)))&
(((humble(alice)&~wise(alice)))<=>(?[X]:(happy(X))))&
(![X]:((generous(X)&brave(X))<=>(humble(X)<~>~bra... | creative(mary) | [
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4442657052676773891578942
% SZS output start Proof for 4442657052676773891578942
4. ~rich(paul) => ~creative(mary) [input p3]
16. ? [X0] : rich(X0) <=> (happy(john) & ~happy(john)) [input p15]
25. creative(mary) [input hypothesis]
29. ~creative(mary) | rich(paul) [ennf transformation 4]
7... | 0 |
If lucy is both not wise and not old then susan is both not creative and not old and vice versa. If someone is either not happy or calm then john is both not old and not wise. If someone is both not patient and old then john is not creative or generous. Everyone who is quiet or not patient is either old or quiet and vi... | John is funny. | neutral | (((~wise(lucy)&~old(lucy)))<=>((~creative(susan)&~old(susan))))&
((?[X]:((~happy(X)<~>calm(X))))=>((~old(john)&~wise(john))))&
((?[X]:((~patient(X)&old(X))))=>((~creative(john)|generous(john))))&
(![X]:((quiet(X)|~patient(X))<=>(old(X)<~>quiet(X))))&
(![X]:(creative(X)<=>(funny(X)|~humble(X))))&
(![X]:(~brave(X)=>(kind... | funny(john) | [] | null | 0 |
Everyone who is not humble is not old.
If someone is curious or not strong then john is either creative or old and vice versa.
Everyone who is either old or not generous is either not tall or not quiet and vice versa.
Everyone who is both brave and rich is either not creative or not old.
Everyone who is not patient or ... | Alice is creative. | neutral | (![X]:(~humble(X)=>~old(X)))&
((?[X]:((curious(X)|~strong(X))))<=>((creative(john)<~>old(john))))&
(![X]:((old(X)<~>~generous(X))<=>(~tall(X)<~>~quiet(X))))&
(![X]:((brave(X)&rich(X))=>(~creative(X)<~>~old(X))))&
(![X]:((~patient(X)|~rich(X))=>(~strong(X)|~brave(X))))&
(![X]:((~tall(X)|wise(X))<=>(~funny(X)|quiet(X))))... | creative(alice) | [] | null | 0 |
If john is not creative or tall then paul is either not rich or curious and vice versa. Everyone who is not quiet is either tall or not strong and vice versa. If lucy is both happy and humble then alice is either not strong or brave and vice versa. Everyone who is happy is patient or not old and vice versa. If paul is ... | Fred is not happy. | neutral | (((~creative(john)|tall(john)))<=>((~rich(paul)<~>curious(paul))))&
(![X]:(~quiet(X)<=>(tall(X)<~>~strong(X))))&
(((happy(lucy)&humble(lucy)))<=>((~strong(alice)<~>brave(alice))))&
(![X]:(happy(X)<=>(patient(X)|~old(X))))&
((~wise(paul))<=>(?[X]:((quiet(X)&curious(X)))))&
(((brave(lucy)<~>~calm(lucy)))=>((~creative(ali... | ~happy(fred) | [] | null | 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 ... | John is not rich. | 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)))))&
(!... | ~rich(john) | [
"p0",
"p1",
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 369653583896885312739665
% SZS output start Proof for 369653583896885312739665
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 curious is both brave and creative and vice versa.
If fred is creative or not rich then someone is not calm.
Everyone who is both not tall and generous is not old and vice versa.
If susan is either not wise or not funny then someone is not rich or not patient and vice versa.
If alice is either quiet or ... | Susan is tall. | neutral | (![X]:(curious(X)<=>(brave(X)&creative(X))))&
(((creative(fred)|~rich(fred)))=>(?[X]:(~calm(X))))&
(![X]:((~tall(X)&generous(X))<=>~old(X)))&
(((~wise(susan)<~>~funny(susan)))<=>(?[X]:((~rich(X)|~patient(X)))))&
(((quiet(alice)<~>funny(alice)))=>(?[X]:(~creative(X))))&
(((wise(paul)<~>~calm(paul)))=>((funny(lucy)&curio... | tall(susan) | [] | null | 0 |
If someone is both not funny and happy then paul is creative and vice versa.
Everyone who is either creative or not quiet is either not brave or not curious and vice versa.
Everyone who is not generous is wise or creative and vice versa.
Everyone who is not wise or not humble is not funny and vice versa.
If someone is ... | Lucy is not generous. | entailment | ((?[X]:((~funny(X)&happy(X))))<=>(creative(paul)))&
(![X]:((creative(X)<~>~quiet(X))<=>(~brave(X)<~>~curious(X))))&
(![X]:(~generous(X)<=>(wise(X)|creative(X))))&
(![X]:((~wise(X)|~humble(X))<=>~funny(X)))&
((?[X]:(kind(X)))=>(?[X]:((~tall(X)|generous(X)))))&
(![X]:((~funny(X)|~humble(X))=>(~generous(X)|humble(X))))&
(... | ~generous(lucy) | [
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7271536006437393704694623
% SZS output start Proof for 7271536006437393704694623
3. ! [X0] : (~generous(X0) <=> (creative(X0) | wise(X0))) [input p2]
6. ! [X0] : ((~humble(X0) | ~funny(X0)) => (humble(X0) | ~generous(X0))) [input p5]
10. ! [X0] : ((~humble(X0) | old(X0)) <=> (creative(X0)... | 0 |
Everyone who is not humble or happy is both not tall and quiet and vice versa.
If someone is either not kind or not generous then fred is both happy and not creative.
If someone is either not brave or not funny then someone is either not curious or not strong and vice versa.
If someone is quiet then susan is both kind ... | Mary is not tall. | entailment | (![X]:((~humble(X)|happy(X))<=>(~tall(X)&quiet(X))))&
((?[X]:((~kind(X)<~>~generous(X))))=>((happy(fred)&~creative(fred))))&
((?[X]:((~brave(X)<~>~funny(X))))<=>(?[X]:((~curious(X)<~>~strong(X)))))&
((?[X]:(quiet(X)))<=>((kind(susan)&~kind(susan))))&
(![X]:((~rich(X)|~funny(X))=>~humble(X)))&
((?[X]:((calm(X)<~>patient... | ~tall(mary) | [
"p0",
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3055187283116826201122550
% SZS output start Proof for 3055187283116826201122550
1. ! [X0] : ((happy(X0) | ~humble(X0)) <=> (quiet(X0) & ~tall(X0))) [input p0]
4. ? [X0] : quiet(X0) <=> (~kind(susan) & kind(susan)) [input p3]
5. ! [X0] : ((~funny(X0) | ~rich(X0)) => ~humble(X0)) [input p4... | 0 |
Everyone who is both not calm and not kind is both quiet and not creative and vice versa.
If someone is either quiet or tall then lucy is not rich and vice versa.
Everyone who is both creative and not tall is not quiet or not generous.
If susan is both happy and not tall then alice is rich and vice versa.
If someone is... | Fred is calm. | entailment | (![X]:((~calm(X)&~kind(X))<=>(quiet(X)&~creative(X))))&
((?[X]:((quiet(X)<~>tall(X))))<=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?[X]:((~creative(X)|~wise(X))))=>((~curious(lucy)&patient(lucy))))&
(((~funny(paul)<~>~kind(paul)))=>((ri... | calm(fred) | [
"p0",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5177629576164985921864742
% SZS output start Proof for 5177629576164985921864742
1. ! [X0] : ((~kind(X0) & ~calm(X0)) <=> (~creative(X0) & quiet(X0))) [input p0]
8. ! [X0] : ((wise(X0) & ~creative(X0)) <=> strong(X0)) [input p7]
9. ! [X0] : ((~happy(X0) | ~funny(X0)) <=> (~strong(X0) & ~r... | 0 |
If mary is wise then lucy is both creative and not tall and vice versa.
Everyone who is either wise or quiet is either not strong or calm and vice versa.
Everyone who is either generous or not patient is not generous and vice versa.
Everyone who is either not funny or not old is both not rich and happy and vice versa.
... | Paul is patient. | contradiction | ((wise(mary))<=>((creative(lucy)&~tall(lucy))))&
(![X]:((wise(X)<~>quiet(X))<=>(~strong(X)<~>calm(X))))&
(![X]:((generous(X)<~>~patient(X))<=>~generous(X)))&
(![X]:((~funny(X)<~>~old(X))<=>(~rich(X)&happy(X))))&
(![X]:((~old(X)|creative(X))=>~strong(X)))&
((?[X]:((~humble(X)&~tall(X))))<=>(?[X]:((creative(X)<~>funny(X)... | patient(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1018657572572330309109913
% SZS output start Proof for 1018657572572330309109913
3. ! [X0] : ((generous(X0) <~> ~patient(X0)) <=> ~generous(X0)) [input p2]
21. patient(paul) [input hypothesis]
34. ! [X0] : ((((patient(X0) | ~generous(X0)) & (~patient(X0) | generous(X0))) | generous(X0)) &... | 0 |
If john is not old then someone is both generous and not curious and vice versa.
Everyone who is both wise and strong is not wise and vice versa.
Everyone who is not wise or not generous is both not creative and not kind.
Everyone who is patient is either kind or not brave.
If mary is either strong or creative then som... | Mary is not strong. | entailment | ((~old(john))<=>(?[X]:((generous(X)&~curious(X)))))&
(![X]:((wise(X)&strong(X))<=>~wise(X)))&
(![X]:((~wise(X)|~generous(X))=>(~creative(X)&~kind(X))))&
(![X]:(patient(X)=>(kind(X)<~>~brave(X))))&
(((strong(mary)<~>creative(mary)))=>(?[X]:((quiet(X)|old(X)))))&
(![X]:(tall(X)<=>(~calm(X)&~funny(X))))&
(![X]:((~brave(X)... | ~strong(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5867261787454651828503678
% SZS output start Proof for 5867261787454651828503678
2. ! [X0] : ((strong(X0) & wise(X0)) <=> ~wise(X0)) [input p1]
25. strong(mary) [input hypothesis]
45. ! [X0] : (((strong(X0) & wise(X0)) | wise(X0)) & (~wise(X0) | (~strong(X0) | ~wise(X0)))) [nnf transforma... | 0 |
Everyone who is either not brave or rich is either creative or patient.
If someone is either not calm or not generous then someone is either not quiet or kind.
Everyone who is humble is either humble or not wise and vice versa.
Everyone who is either not happy or not quiet is either creative or not curious and vice ver... | Lucy is not creative. | neutral | (![X]:((~brave(X)<~>rich(X))=>(creative(X)<~>patient(X))))&
((?[X]:((~calm(X)<~>~generous(X))))=>(?[X]:((~quiet(X)<~>kind(X)))))&
(![X]:(humble(X)<=>(humble(X)<~>~wise(X))))&
(![X]:((~happy(X)<~>~quiet(X))<=>(creative(X)<~>~curious(X))))&
((?[X]:((~calm(X)|brave(X))))<=>((strong(fred)<~>~kind(fred))))&
(![X]:((~patient... | ~creative(lucy) | [] | null | 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... | Paul is not 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(paul) | [] | null | 0 |
Everyone who is either strong or not funny is rich. If john is either strong or not curious then paul is either not calm or not curious and vice versa. If alice is either brave or not creative then alice is both curious and not generous. Everyone who is strong is old or rich and vice versa. Everyone who is not brave or... | John is not tall. | neutral | (![X]:((strong(X)<~>~funny(X))=>rich(X)))&
(((strong(john)<~>~curious(john)))<=>((~calm(paul)<~>~curious(paul))))&
(((brave(alice)<~>~creative(alice)))=>((curious(alice)&~generous(alice))))&
(![X]:(strong(X)<=>(old(X)|rich(X))))&
(![X]:((~brave(X)|happy(X))=>(~kind(X)&funny(X))))&
(![X]:((~kind(X)&happy(X))=>(creative(... | ~tall(john) | [] | null | 0 |
If someone is not old then someone is either not old or not rich and vice versa.
Everyone who is either tall or brave is both not humble and humble and vice versa.
If mary is either humble or kind then someone is both humble and generous.
If someone is not funny then paul is either not calm or not tall.
If fred is eith... | Alice is not brave. | contradiction | ((?[X]:(~old(X)))<=>(?[X]:((~old(X)<~>~rich(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(~humble(X)&humble(X))))&
(((humble(mary)<~>kind(mary)))=>(?[X]:((humble(X)&generous(X)))))&
((?[X]:(~funny(X)))=>((~calm(paul)<~>~tall(paul))))&
(((brave(fred)<~>happy(fred)))<=>(?[X]:((~funny(X)|~generous(X)))))&
(![X]:(funny(X)<=>(~fun... | ~brave(alice) | [
"p1",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8436008363064693648565711
% SZS output start Proof for 8436008363064693648565711
2. ! [X0] : ((tall(X0) <~> brave(X0)) <=> (humble(X0) & ~humble(X0))) [input p1]
15. ! [X0] : ((tall(X0) <~> wise(X0)) => tall(X0)) [input p14]
21. wise(alice) [input p20]
23. ~brave(alice) [input hypothesis]... | 0 |
If someone is both brave and not generous then john is either not creative or generous and vice versa.
Everyone who is patient is both not humble and not creative.
Everyone who is quiet or tall is calm.
Everyone who is old or creative is calm or funny.
If fred is rich or not happy then susan is both not calm and funny.... | Susan is strong. | neutral | ((?[X]:((brave(X)&~generous(X))))<=>((~creative(john)<~>generous(john))))&
(![X]:(patient(X)=>(~humble(X)&~creative(X))))&
(![X]:((quiet(X)|tall(X))=>calm(X)))&
(![X]:((old(X)|creative(X))=>(calm(X)|funny(X))))&
(((rich(fred)|~happy(fred)))=>((~calm(susan)&funny(susan))))&
(![X]:((rich(X)&~strong(X))=>(old(X)&~curious(... | strong(susan) | [] | null | 0 |
Everyone who is both rich and not happy is either not generous or not happy and vice versa. Everyone who is both old and tall is wise or generous and vice versa. Everyone who is not brave or not rich is both funny and old. If alice is either not wise or tall then lucy is either not quiet or not tall. Everyone who is ei... | Alice is not brave. | contradiction | (![X]:((rich(X)&~happy(X))<=>(~generous(X)<~>~happy(X))))&
(![X]:((old(X)&tall(X))<=>(wise(X)|generous(X))))&
(![X]:((~brave(X)|~rich(X))=>(funny(X)&old(X))))&
(((~wise(alice)<~>tall(alice)))=>((~quiet(lucy)<~>~tall(lucy))))&
(![X]:((rich(X)<~>old(X))<=>(calm(X)&~creative(X))))&
(![X]:(curious(X)=>(happy(X)<~>brave(X))... | ~brave(alice) | [
"p0",
"p1",
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3189168393486085607196893
% SZS output start Proof for 3189168393486085607196893
1. ! [X0] : ((~happy(X0) & rich(X0)) <=> (~generous(X0) <~> ~happy(X0))) [input p0]
2. ! [X0] : ((tall(X0) & old(X0)) <=> (generous(X0) | wise(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | ~brave(X0)) => (old(X0... | 0 |
Everyone who is not rich is either not quiet or old and vice versa.
Everyone who is not patient is both not patient and tall.
If john is both not rich and happy then someone is both funny and not funny.
If susan is either happy or not generous then mary is not tall.
If someone is both not quiet and not rich then someon... | Lucy is old. | contradiction | (![X]:(~rich(X)<=>(~quiet(X)<~>old(X))))&
(![X]:(~patient(X)=>(~patient(X)&tall(X))))&
(((~rich(john)&happy(john)))=>(?[X]:((funny(X)&~funny(X)))))&
(((happy(susan)<~>~generous(susan)))=>(~tall(mary)))&
((?[X]:((~quiet(X)&~rich(X))))<=>(?[X]:(tall(X))))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:(funny(X))))&
(![X]:(hap... | old(lucy) | [
"p0",
"p4",
"p5",
"p8",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4591908546137563027672918
% SZS output start Proof for 4591908546137563027672918
1. ! [X0] : (~rich(X0) <=> (~quiet(X0) <~> old(X0))) [input p0]
5. ? [X0] : (~rich(X0) & ~quiet(X0)) <=> ? [X0] : tall(X0) [input p4]
6. ? [X0] : (~kind(X0) | ~creative(X0)) => ? [X0] : funny(X0) [input p5]
9... | 0 |
Everyone who is either patient or wise is either wise or curious. If someone is both not humble and brave then fred is either wise or not wise. Everyone who is wise is either old or not curious. Everyone who is not curious is generous or not patient. Everyone who is not kind is both not curious and not generous. If som... | Fred is patient. | neutral | (![X]:((patient(X)<~>wise(X))=>(wise(X)<~>curious(X))))&
((?[X]:((~humble(X)&brave(X))))=>((wise(fred)<~>~wise(fred))))&
(![X]:(wise(X)=>(old(X)<~>~curious(X))))&
(![X]:(~curious(X)=>(generous(X)|~patient(X))))&
(![X]:(~kind(X)=>(~curious(X)&~generous(X))))&
((?[X]:((~kind(X)<~>~tall(X))))<=>(?[X]:((curious(X)<~>~wise(... | patient(fred) | [] | null | 0 |
Everyone who is not quiet or not tall is either creative or not quiet.
If john is both not patient and not creative then someone is calm or humble.
Everyone who is either not strong or wise is tall and vice versa.
Everyone who is both not rich and not patient is both not wise and not calm and vice versa.
If paul is bot... | Fred is tall. | contradiction | (![X]:((~quiet(X)|~tall(X))=>(creative(X)<~>~quiet(X))))&
(((~patient(john)&~creative(john)))=>(?[X]:((calm(X)|humble(X)))))&
(![X]:((~strong(X)<~>wise(X))<=>tall(X)))&
(![X]:((~rich(X)&~patient(X))<=>(~wise(X)&~calm(X))))&
(((calm(paul)&creative(paul)))<=>(?[X]:((happy(X)|quiet(X)))))&
((rich(fred))=>(?[X]:((generous(... | tall(fred) | [
"p2",
"p6",
"p10",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7919578214748866785467891
% SZS output start Proof for 7919578214748866785467891
3. ! [X0] : ((~strong(X0) <~> wise(X0)) <=> tall(X0)) [input p2]
7. ! [X0] : (curious(X0) => (~curious(X0) <~> strong(X0))) [input p6]
11. ! [X0] : (wise(X0) => (creative(X0) & ~brave(X0))) [input p10]
15. ! ... | 0 |
Everyone who is either quiet or not humble is both not rich and not curious and vice versa.
Everyone who is not quiet is both wise and happy and vice versa.
Everyone who is not quiet is not strong or creative.
Everyone who is either patient or funny is both brave and not wise.
Everyone who is not kind is not patient or... | Paul is brave. | entailment | (![X]:((quiet(X)<~>~humble(X))<=>(~rich(X)&~curious(X))))&
(![X]:(~quiet(X)<=>(wise(X)&happy(X))))&
(![X]:(~quiet(X)=>(~strong(X)|creative(X))))&
(![X]:((patient(X)<~>funny(X))=>(brave(X)&~wise(X))))&
(![X]:(~kind(X)=>(~patient(X)|~happy(X))))&
(((~rich(mary)|~calm(mary)))=>((tall(mary)<~>~kind(mary))))&
(![X]:(~curiou... | brave(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5767955491835125132340422
% SZS output start Proof for 5767955491835125132340422
10. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (funny(X0) & ~funny(X0))) [input p9]
25. ~brave(paul) [input hypothesis]
51. ! [X0] : (((~brave(X0) | ~calm(X0)) | (~funny(X0) | funny(X0))) & ((funny(X0) & ~funny(X... | 0 |
If someone is either not curious or not old then paul is not curious or not humble and vice versa.
If alice is not brave or curious then someone is not strong and vice versa.
Everyone who is not tall is both not kind and brave.
Everyone who is either strong or patient is not tall or not kind and vice versa.
If someone ... | John is not generous. | entailment | ((?[X]:((~curious(X)<~>~old(X))))<=>((~curious(paul)|~humble(paul))))&
(((~brave(alice)|curious(alice)))<=>(?[X]:(~strong(X))))&
(![X]:(~tall(X)=>(~kind(X)&brave(X))))&
(![X]:((strong(X)<~>patient(X))<=>(~tall(X)|~kind(X))))&
((?[X]:((~curious(X)|funny(X))))<=>((old(fred)|quiet(fred))))&
(![X]:(creative(X)<=>(curious(X... | ~generous(john) | [
"p2",
"p7",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1127431917050347969839864
% SZS output start Proof for 1127431917050347969839864
3. ! [X0] : (~tall(X0) => (brave(X0) & ~kind(X0))) [input p2]
8. ! [X0] : ((brave(X0) & ~quiet(X0)) <=> (~quiet(X0) <~> ~kind(X0))) [input p7]
13. ! [X0] : ((humble(X0) | ~generous(X0)) <=> ~brave(X0)) [input... | 0 |
Everyone who is either not funny or not curious is both not funny and not generous.
Everyone who is both not humble and not wise is either not humble or not brave.
If fred is humble then paul is creative and vice versa.
Everyone who is either creative or not quiet is either calm or not happy and vice versa.
Everyone wh... | Alice is not generous. | neutral | (![X]:((~funny(X)<~>~curious(X))=>(~funny(X)&~generous(X))))&
(![X]:((~humble(X)&~wise(X))=>(~humble(X)<~>~brave(X))))&
((humble(fred))<=>(creative(paul)))&
(![X]:((creative(X)<~>~quiet(X))<=>(calm(X)<~>~happy(X))))&
(![X]:((~funny(X)|~happy(X))<=>(~calm(X)&~brave(X))))&
(((~curious(john)|~generous(john)))<=>(?[X]:((~t... | ~generous(alice) | [] | null | 0 |
Everyone who is both tall and not curious is rich and vice versa. Everyone who is curious is wise or brave and vice versa. Everyone who is calm is not generous. If susan is either creative or not humble then paul is not patient and vice versa. Everyone who is either wise or patient is either not generous or not humble.... | Susan is happy. | neutral | (![X]:((tall(X)&~curious(X))<=>rich(X)))&
(![X]:(curious(X)<=>(wise(X)|brave(X))))&
(![X]:(calm(X)=>~generous(X)))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>patient(X))=>(~generous(X)<~>~humble(X))))&
((generous(susan))<=>(happy(susan)))&
((?[X]:((kind(X)&~humble(X))))=>((~funny(fred... | happy(susan) | [] | null | 0 |
If mary is not humble or not strong then fred is not creative and vice versa.
If someone is both not wise and kind then someone is both not creative and old.
Everyone who is strong is both old and curious and vice versa.
If someone is curious then susan is not curious.
If lucy is old then someone is either curious or n... | Paul is not old. | neutral | (((~humble(mary)|~strong(mary)))<=>(~creative(fred)))&
((?[X]:((~wise(X)&kind(X))))=>(?[X]:((~creative(X)&old(X)))))&
(![X]:(strong(X)<=>(old(X)&curious(X))))&
((?[X]:(curious(X)))=>(~curious(susan)))&
((old(lucy))=>(?[X]:((curious(X)<~>~quiet(X)))))&
(((tall(paul)<~>patient(paul)))=>(?[X]:((funny(X)&wise(X)))))&
(![X]... | ~old(paul) | [] | null | 0 |
If someone is not tall or tall then someone is generous and vice versa.
Everyone who is both not curious and not brave is tall.
If mary is both not quiet and funny then someone is not old or patient and vice versa.
If mary is not old then someone is both humble and not generous and vice versa.
Everyone who is either ca... | Mary is humble. | contradiction | ((?[X]:((~tall(X)|tall(X))))<=>(?[X]:(generous(X))))&
(![X]:((~curious(X)&~brave(X))=>tall(X)))&
(((~quiet(mary)&funny(mary)))<=>(?[X]:((~old(X)|patient(X)))))&
((~old(mary))<=>(?[X]:((humble(X)&~generous(X)))))&
(![X]:((calm(X)<~>happy(X))=>~old(X)))&
(![X]:((curious(X)&funny(X))=>~quiet(X)))&
(![X]:((~curious(X)|brav... | humble(mary) | [
"p7",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 800104495696753942473759
% SZS output start Proof for 800104495696753942473759
8. ! [X0] : (humble(X0) => (~calm(X0) & ~tall(X0))) [input p7]
12. ? [X0] : (tall(X0) & ~quiet(X0)) <=> ? [X0] : (~tall(X0) & generous(X0)) [input p11]
14. ! [X0] : ((~brave(X0) | brave(X0)) => quiet(X0)) [inpu... | 0 |
Everyone who is both curious and strong is not strong or not creative and vice versa.
Everyone who is not happy or not funny is both funny and strong and vice versa.
If someone is either old or not funny then john is rich or not quiet.
If alice is both kind and not funny then someone is patient and vice versa.
Everyone... | Susan is quiet. | contradiction | (![X]:((curious(X)&strong(X))<=>(~strong(X)|~creative(X))))&
(![X]:((~happy(X)|~funny(X))<=>(funny(X)&strong(X))))&
((?[X]:((old(X)<~>~funny(X))))=>((rich(john)|~quiet(john))))&
(((kind(alice)&~funny(alice)))<=>(?[X]:(patient(X))))&
(![X]:((humble(X)&rich(X))=>(kind(X)|~tall(X))))&
((?[X]:((~funny(X)|~creative(X))))<=>... | quiet(susan) | [
"p1",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7515469755163276274850490
% SZS output start Proof for 7515469755163276274850490
2. ! [X0] : ((~funny(X0) | ~happy(X0)) <=> (strong(X0) & funny(X0))) [input p1]
16. ~quiet(susan) <~> ~funny(susan) [input p15]
23. quiet(susan) [input hypothesis]
40. ! [X0] : (((~funny(X0) | ~happy(X0)) | (... | 0 |
Everyone who is both quiet and patient is kind. Everyone who is humble is either not old or not kind. If someone is both not curious and strong then fred is tall or not humble and vice versa. Everyone who is either brave or not wise is either not funny or wise and vice versa. If someone is not calm or not generous then... | Lucy is humble. | neutral | (![X]:((quiet(X)&patient(X))=>kind(X)))&
(![X]:(humble(X)=>(~old(X)<~>~kind(X))))&
((?[X]:((~curious(X)&strong(X))))<=>((tall(fred)|~humble(fred))))&
(![X]:((brave(X)<~>~wise(X))<=>(~funny(X)<~>wise(X))))&
((?[X]:((~calm(X)|~generous(X))))<=>(funny(mary)))&
((?[X]:(wise(X)))<=>((generous(alice)<~>~old(alice))))&
((~wis... | humble(lucy) | [] | null | 0 |
If someone is not rich then someone is either not humble or wise. Everyone who is not generous or not brave is not strong. Everyone who is brave is creative or not tall and vice versa. If someone is happy then susan is both calm and rich and vice versa. If someone is both not happy and generous then someone is either k... | Susan is not calm. | contradiction | ((?[X]:(~rich(X)))=>(?[X]:((~humble(X)<~>wise(X)))))&
(![X]:((~generous(X)|~brave(X))=>~strong(X)))&
(![X]:(brave(X)<=>(creative(X)|~tall(X))))&
((?[X]:(happy(X)))<=>((calm(susan)&rich(susan))))&
((?[X]:((~happy(X)&generous(X))))<=>(?[X]:((kind(X)<~>~curious(X)))))&
(![X]:((happy(X)|generous(X))=>(~strong(X)|kind(X))))... | ~calm(susan) | [
"p3",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8862581761191990965594524
% SZS output start Proof for 8862581761191990965594524
4. ? [X0] : happy(X0) <=> (rich(susan) & calm(susan)) [input p3]
22. ? [X0] : (happy(X0) & tall(X0)) [input p21]
24. ~calm(susan) [input hypothesis]
46. (? [X0] : happy(X0) | (~rich(susan) | ~calm(susan))) & ... | 0 |
If paul is not rich then alice is generous or not wise.
If someone is either not calm or strong then susan is wise and vice versa.
Everyone who is not tall is either generous or creative.
Everyone who is not curious or not generous is both not kind and wise and vice versa.
If lucy is happy then someone is either wise o... | Lucy is not creative. | entailment | ((~rich(paul))=>((generous(alice)|~wise(alice))))&
((?[X]:((~calm(X)<~>strong(X))))<=>(wise(susan)))&
(![X]:(~tall(X)=>(generous(X)<~>creative(X))))&
(![X]:((~curious(X)|~generous(X))<=>(~kind(X)&wise(X))))&
((happy(lucy))=>(?[X]:((wise(X)<~>~strong(X)))))&
(![X]:(creative(X)<=>(~tall(X)&humble(X))))&
(((~calm(paul)|~h... | ~creative(lucy) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1874268795633592437371043
% SZS output start Proof for 1874268795633592437371043
6. ! [X0] : (creative(X0) <=> (humble(X0) & ~tall(X0))) [input p5]
19. ~humble(lucy) & ~calm(lucy) [input p18]
24. creative(lucy) [input hypothesis]
51. ! [X0] : ((creative(X0) | (~humble(X0) | tall(X0))) & (... | 0 |
Everyone who is not happy or not creative is both not old and not tall.
If susan is not quiet then someone is brave or not humble.
If someone is both funny and not curious then mary is either patient or tall.
Everyone who is old is not patient or tall and vice versa.
Everyone who is happy is not generous and vice versa... | John is humble. | neutral | (![X]:((~happy(X)|~creative(X))=>(~old(X)&~tall(X))))&
((~quiet(susan))=>(?[X]:((brave(X)|~humble(X)))))&
((?[X]:((funny(X)&~curious(X))))=>((patient(mary)<~>tall(mary))))&
(![X]:(old(X)<=>(~patient(X)|tall(X))))&
(![X]:(happy(X)<=>~generous(X)))&
(![X]:((~old(X)<~>~rich(X))=>(~wise(X)<~>wise(X))))&
(![X]:(rich(X)=>(~c... | humble(john) | [] | null | 0 |
Everyone who is not calm is kind or not wise and vice versa.
Everyone who is both not generous and not strong is quiet and vice versa.
If someone is either wise or kind then paul is both not brave and not patient.
Everyone who is either not curious or happy is either not humble or not rich.
Everyone who is creative or ... | Mary is strong. | contradiction | (![X]:(~calm(X)<=>(kind(X)|~wise(X))))&
(![X]:((~generous(X)&~strong(X))<=>quiet(X)))&
((?[X]:((wise(X)<~>kind(X))))=>((~brave(paul)&~patient(paul))))&
(![X]:((~curious(X)<~>happy(X))=>(~humble(X)<~>~rich(X))))&
(![X]:((creative(X)|old(X))=>(wise(X)|quiet(X))))&
(((curious(mary)&kind(mary)))<=>(?[X]:(wise(X))))&
(![X]:... | strong(mary) | [
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6250220614322725438581980
% SZS output start Proof for 6250220614322725438581980
2. ! [X0] : ((~strong(X0) & ~generous(X0)) <=> quiet(X0)) [input p1]
15. ! [X0] : ((~calm(X0) | quiet(X0)) <=> (quiet(X0) <~> calm(X0))) [input p14]
22. strong(mary) [input hypothesis]
36. ! [X0] : (((~strong... | 0 |
Everyone who is both rich and creative is both old and curious and vice versa.
Everyone who is not happy is not wise and vice versa.
Everyone who is either patient or humble is both not brave and not strong and vice versa.
Everyone who is wise or kind is either not kind or not curious and vice versa.
If someone is both... | Mary is not kind. | neutral | (![X]:((rich(X)&creative(X))<=>(old(X)&curious(X))))&
(![X]:(~happy(X)<=>~wise(X)))&
(![X]:((patient(X)<~>humble(X))<=>(~brave(X)&~strong(X))))&
(![X]:((wise(X)|kind(X))<=>(~kind(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((~old(X)&old(X)))))&
(![X]:(~strong(X)=>(quiet(X)&~generous(X))))&
(![X]:(strong... | ~kind(mary) | [] | null | 0 |
If alice is not old then someone is creative or not funny and vice versa. If someone is calm then someone is calm or not funny and vice versa. Everyone who is patient is tall or not old and vice versa. Everyone who is generous is both rich and not quiet and vice versa. Everyone who is not funny is either not old or pat... | Fred is generous. | contradiction | ((~old(alice))<=>(?[X]:((creative(X)|~funny(X)))))&
((?[X]:(calm(X)))<=>(?[X]:((calm(X)|~funny(X)))))&
(![X]:(patient(X)<=>(tall(X)|~old(X))))&
(![X]:(generous(X)<=>(rich(X)&~quiet(X))))&
(![X]:(~funny(X)<=>(~old(X)<~>patient(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((~brave(X)|~generous(X)))))&
(![X]:((curious(X)<~>~quiet(X)... | generous(fred) | [
"p2",
"p3",
"p4",
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3960942764809653142450847
% SZS output start Proof for 3960942764809653142450847
3. ! [X0] : (patient(X0) <=> (~old(X0) | tall(X0))) [input p2]
4. ! [X0] : (generous(X0) <=> (~quiet(X0) & rich(X0))) [input p3]
5. ! [X0] : (~funny(X0) <=> (~old(X0) <~> patient(X0))) [input p4]
8. (generous... | 0 |
Everyone who is not humble or not tall is not calm or humble and vice versa. If susan is both not generous and kind then fred is either not brave or not kind. Everyone who is both not old and tall is creative or old and vice versa. Everyone who is both not humble and not patient is not brave or patient and vice versa. ... | Fred is brave. | contradiction | (![X]:((~humble(X)|~tall(X))<=>(~calm(X)|humble(X))))&
(((~generous(susan)&kind(susan)))=>((~brave(fred)<~>~kind(fred))))&
(![X]:((~old(X)&tall(X))<=>(creative(X)|old(X))))&
(![X]:((~humble(X)&~patient(X))<=>(~brave(X)|patient(X))))&
(![X]:((~creative(X)|wise(X))=>(~curious(X)|humble(X))))&
(![X]:((tall(X)|~tall(X))=>(... | brave(fred) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1438871686748903492449447
% SZS output start Proof for 1438871686748903492449447
3. ! [X0] : ((tall(X0) & ~old(X0)) <=> (old(X0) | creative(X0))) [input p2]
6. ! [X0] : ((~tall(X0) | tall(X0)) => (~brave(X0) <~> old(X0))) [input p5]
20. brave(fred) [input hypothesis]
28. ! [X0] : ((~brave... | 0 |
Everyone who is not humble is both curious and strong.
Everyone who is not generous is either not brave or not happy.
Everyone who is both not rich and generous is not kind and vice versa.
Everyone who is kind or not generous is either creative or not humble and vice versa.
If someone is not brave then someone is both ... | Alice is happy. | contradiction | (![X]:(~humble(X)=>(curious(X)&strong(X))))&
(![X]:(~generous(X)=>(~brave(X)<~>~happy(X))))&
(![X]:((~rich(X)&generous(X))<=>~kind(X)))&
(![X]:((kind(X)|~generous(X))<=>(creative(X)<~>~humble(X))))&
((?[X]:(~brave(X)))=>(?[X]:((curious(X)&~creative(X)))))&
(((quiet(lucy)<~>happy(lucy)))=>((calm(mary)|wise(mary))))&
((?... | happy(alice) | [
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3076420418942481498762553
% SZS output start Proof for 3076420418942481498762553
11. ! [X0] : ((patient(X0) | happy(X0)) => ~humble(X0)) [input p10]
18. humble(alice) & generous(alice) [input p17]
23. happy(alice) [input hypothesis]
31. ! [X0] : (~humble(X0) | (~patient(X0) & ~happy(X0)))... | 0 |
If someone is both strong and not brave then someone is generous or not rich and vice versa.
Everyone who is both not funny and not happy is tall and vice versa.
Everyone who is both not creative and happy is both not quiet and calm and vice versa.
Everyone who is not creative or tall is both rich and old and vice vers... | Mary is not generous. | entailment | ((?[X]:((strong(X)&~brave(X))))<=>(?[X]:((generous(X)|~rich(X)))))&
(![X]:((~funny(X)&~happy(X))<=>tall(X)))&
(![X]:((~creative(X)&happy(X))<=>(~quiet(X)&calm(X))))&
(![X]:((~creative(X)|tall(X))<=>(rich(X)&old(X))))&
(![X]:((~curious(X)|~rich(X))<=>(~quiet(X)&patient(X))))&
((?[X]:((~curious(X)<~>old(X))))<=>(curious(... | ~generous(mary) | [
"p2",
"p3",
"p4",
"p5",
"p9",
"p10",
"p12",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 371776661915414802641033
% SZS output start Proof for 371776661915414802641033
3. ! [X0] : ((happy(X0) & ~creative(X0)) <=> (calm(X0) & ~quiet(X0))) [input p2]
4. ! [X0] : ((tall(X0) | ~creative(X0)) <=> (old(X0) & rich(X0))) [input p3]
5. ! [X0] : ((~rich(X0) | ~curious(X0)) <=> (patient... | 0 |
Everyone who is either quiet or not tall is either not quiet or not funny and vice versa.
If lucy is not patient then someone is both not patient and creative and vice versa.
Everyone who is kind or strong is quiet.
If someone is both not funny and not humble then mary is not kind and vice versa.
Everyone who is funny ... | Fred is patient. | contradiction | (![X]:((quiet(X)<~>~tall(X))<=>(~quiet(X)<~>~funny(X))))&
((~patient(lucy))<=>(?[X]:((~patient(X)&creative(X)))))&
(![X]:((kind(X)|strong(X))=>quiet(X)))&
((?[X]:((~funny(X)&~humble(X))))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<... | patient(fred) | [
"p0",
"p4",
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 548963658771543052033187
% SZS output start Proof for 548963658771543052033187
1. ! [X0] : ((quiet(X0) <~> ~tall(X0)) <=> (~quiet(X0) <~> ~funny(X0))) [input p0]
5. ! [X0] : (funny(X0) <=> (wise(X0) | ~funny(X0))) [input p4]
6. ! [X0] : ((patient(X0) | ~strong(X0)) <=> (brave(X0) | ~funny... | 0 |
Everyone who is not creative is not brave or not tall and vice versa.
If mary is patient or kind then someone is not strong.
Everyone who is not kind is not wise or not quiet and vice versa.
If lucy is not humble then someone is not curious.
Everyone who is both not happy and not creative is both not rich and not patie... | Susan is not curious. | neutral | (![X]:(~creative(X)<=>(~brave(X)|~tall(X))))&
(((patient(mary)|kind(mary)))=>(?[X]:(~strong(X))))&
(![X]:(~kind(X)<=>(~wise(X)|~quiet(X))))&
((~humble(lucy))=>(?[X]:(~curious(X))))&
(![X]:((~happy(X)&~creative(X))<=>(~rich(X)&~patient(X))))&
(![X]:((humble(X)&generous(X))<=>(brave(X)|tall(X))))&
(![X]:(patient(X)<=>gen... | ~curious(susan) | [] | null | 0 |
Everyone who is quiet or not wise is strong.
Everyone who is not generous or not strong is both happy and wise and vice versa.
Everyone who is not happy is either not curious or not old.
Everyone who is both patient and not humble is either curious or not tall and vice versa.
Everyone who is old is both not strong and ... | Mary is not creative. | entailment | (![X]:((quiet(X)|~wise(X))=>strong(X)))&
(![X]:((~generous(X)|~strong(X))<=>(happy(X)&wise(X))))&
(![X]:(~happy(X)=>(~curious(X)<~>~old(X))))&
(![X]:((patient(X)&~humble(X))<=>(curious(X)<~>~tall(X))))&
(![X]:(old(X)=>(~strong(X)&~rich(X))))&
((?[X]:((wise(X)|~humble(X))))<=>(?[X]:((curious(X)<~>~brave(X)))))&
(![X]:((... | ~creative(mary) | [
"p0",
"p4",
"p6",
"p7",
"p8",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8451105668962802674651238
% SZS output start Proof for 8451105668962802674651238
1. ! [X0] : ((~wise(X0) | quiet(X0)) => strong(X0)) [input p0]
5. ! [X0] : (old(X0) => (~rich(X0) & ~strong(X0))) [input p4]
7. ! [X0] : ((brave(X0) & ~quiet(X0)) => (~strong(X0) & humble(X0))) [input p6]
8. ... | 0 |
Everyone who is not creative is creative or strong. If someone is either brave or humble then alice is both not curious and not generous. If someone is both calm and patient then john is both not generous and not funny and vice versa. Everyone who is both not creative and not humble is not brave or not wise and vice ve... | Alice is patient. | contradiction | (![X]:(~creative(X)=>(creative(X)|strong(X))))&
((?[X]:((brave(X)<~>humble(X))))=>((~curious(alice)&~generous(alice))))&
((?[X]:((calm(X)&patient(X))))<=>((~generous(john)&~funny(john))))&
(![X]:((~creative(X)&~humble(X))<=>(~brave(X)|~wise(X))))&
(![X]:(~wise(X)<=>(rich(X)&~wise(X))))&
(![X]:((~generous(X)|humble(X))<... | patient(alice) | [
"p3",
"p5",
"p9",
"p11",
"p12",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4742874133911643207490414
% SZS output start Proof for 4742874133911643207490414
4. ! [X0] : ((~humble(X0) & ~creative(X0)) <=> (~wise(X0) | ~brave(X0))) [input p3]
6. ! [X0] : ((humble(X0) | ~generous(X0)) <=> (~brave(X0) & ~calm(X0))) [input p5]
10. ! [X0] : ((~humble(X0) <~> kind(X0)) ... | 0 |
Everyone who is both not happy and strong is not patient or humble and vice versa.
Everyone who is not generous or curious is either creative or kind and vice versa.
Everyone who is rich is not rich or old and vice versa.
If someone is either wise or tall then lucy is funny.
Everyone who is both not old and tall is hum... | Susan is not funny. | neutral | (![X]:((~happy(X)&strong(X))<=>(~patient(X)|humble(X))))&
(![X]:((~generous(X)|curious(X))<=>(creative(X)<~>kind(X))))&
(![X]:(rich(X)<=>(~rich(X)|old(X))))&
((?[X]:((wise(X)<~>tall(X))))=>(funny(lucy)))&
(![X]:((~old(X)&tall(X))<=>(humble(X)|brave(X))))&
(((curious(susan)|~happy(susan)))=>(?[X]:((patient(X)<~>~quiet(X... | ~funny(susan) | [] | null | 0 |
Everyone who is either not calm or funny is both not generous and not kind and vice versa.
If lucy is not old or not tall then someone is funny or happy.
Everyone who is both not strong and tall is rich and vice versa.
If someone is both not strong and not quiet then someone is brave or not humble.
Everyone who is both... | Susan is not quiet. | contradiction | (![X]:((~calm(X)<~>funny(X))<=>(~generous(X)&~kind(X))))&
(((~old(lucy)|~tall(lucy)))=>(?[X]:((funny(X)|happy(X)))))&
(![X]:((~strong(X)&tall(X))<=>rich(X)))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~kin... | ~quiet(susan) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2630508285126030834898
% SZS output start Proof for 2630508285126030834898
5. ! [X0] : ((curious(X0) & quiet(X0)) <=> (~generous(X0) <~> ~quiet(X0))) [input p4]
14. ! [X0] : (quiet(X0) <=> (~kind(X0) | ~generous(X0))) [input p13]
23. ~quiet(susan) [input hypothesis]
42. ! [X0] : (((curiou... | 0 |
Everyone who is both wise and kind is either not old or brave.
Everyone who is not generous is calm and vice versa.
Everyone who is either not generous or not rich is not kind and vice versa.
If paul is either generous or patient then someone is not tall or not generous and vice versa.
If someone is strong then mary is... | Susan is kind. | entailment | (![X]:((wise(X)&kind(X))=>(~old(X)<~>brave(X))))&
(![X]:(~generous(X)<=>calm(X)))&
(![X]:((~generous(X)<~>~rich(X))<=>~kind(X)))&
(((generous(paul)<~>patient(paul)))<=>(?[X]:((~tall(X)|~generous(X)))))&
((?[X]:(strong(X)))=>((curious(mary)<~>~calm(mary))))&
(![X]:(~brave(X)=>(~happy(X)|~funny(X))))&
(![X]:((~wise(X)|br... | kind(susan) | [
"p1",
"p3",
"p6",
"p7",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8675779520783065566988428
% SZS output start Proof for 8675779520783065566988428
2. ! [X0] : (~generous(X0) <=> calm(X0)) [input p1]
4. (generous(paul) <~> patient(paul)) <=> ? [X0] : (~generous(X0) | ~tall(X0)) [input p3]
7. ! [X0] : ((brave(X0) | ~wise(X0)) <=> calm(X0)) [input p6]
8. ?... | 0 |
Everyone who is not humble is both curious and not patient. Everyone who is creative is either curious or not tall and vice versa. Everyone who is both old and not old is quiet and vice versa. If someone is patient or not strong then mary is either not brave or not wise and vice versa. If alice is either strong or crea... | Mary is not quiet. | entailment | (![X]:(~humble(X)=>(curious(X)&~patient(X))))&
(![X]:(creative(X)<=>(curious(X)<~>~tall(X))))&
(![X]:((old(X)&~old(X))<=>quiet(X)))&
((?[X]:((patient(X)|~strong(X))))<=>((~brave(mary)<~>~wise(mary))))&
(((strong(alice)<~>creative(alice)))<=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:((happy(X)|~generous(X))<=>(~brave(X... | ~quiet(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 8204867380219813169532643
% SZS output start Proof for 8204867380219813169532643
3. ! [X0] : ((~old(X0) & old(X0)) <=> quiet(X0)) [input p2]
24. quiet(mary) [input hypothesis]
39. ! [X0] : (((~old(X0) & old(X0)) | ~quiet(X0)) & (quiet(X0) | (old(X0) | ~old(X0)))) [nnf transformation 3]
40... | 0 |
If someone is both tall and kind then someone is either not brave or kind.
If someone is not funny then fred is either old or not rich.
If paul is either not quiet or not creative then john is not happy or happy and vice versa.
Everyone who is creative or not calm is not kind or not curious and vice versa.
Everyone who... | Mary is not happy. | contradiction | ((?[X]:((tall(X)&kind(X))))=>(?[X]:((~brave(X)<~>kind(X)))))&
((?[X]:(~funny(X)))=>((old(fred)<~>~rich(fred))))&
(((~quiet(paul)<~>~creative(paul)))<=>((~happy(john)|happy(john))))&
(![X]:((creative(X)|~calm(X))<=>(~kind(X)|~curious(X))))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X... | ~happy(mary) | [
"p3",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2743691242080197367995378
% SZS output start Proof for 2743691242080197367995378
4. ! [X0] : ((~calm(X0) | creative(X0)) <=> (~curious(X0) | ~kind(X0))) [input p3]
11. ! [X0] : ((~calm(X0) | ~generous(X0)) <=> (funny(X0) <~> patient(X0))) [input p10]
15. ! [X0] : ((~funny(X0) & ~curious(X... | 0 |
Everyone who is either calm or not tall is tall.
Everyone who is both not calm and not humble is both not old and quiet and vice versa.
Everyone who is both not humble and tall is kind.
Everyone who is quiet is rich.
If someone is both old and quiet then someone is both not patient and happy and vice versa.
If someone ... | Mary is not patient. | neutral | (![X]:((calm(X)<~>~tall(X))=>tall(X)))&
(![X]:((~calm(X)&~humble(X))<=>(~old(X)&quiet(X))))&
(![X]:((~humble(X)&tall(X))=>kind(X)))&
(![X]:(quiet(X)=>rich(X)))&
((?[X]:((old(X)&quiet(X))))<=>(?[X]:((~patient(X)&happy(X)))))&
((?[X]:((kind(X)&~brave(X))))<=>((~old(susan)|~wise(susan))))&
(((~humble(susan)<~>happy(susan)... | ~patient(mary) | [] | null | 0 |
Everyone who is not patient or not creative is calm or not old.
If paul is quiet then someone is either strong or humble.
If someone is either not funny or happy then someone is either not generous or not kind.
Everyone who is not brave is both not funny and not calm.
If someone is both not generous and humble then joh... | Paul is curious. | entailment | (![X]:((~patient(X)|~creative(X))=>(calm(X)|~old(X))))&
((quiet(paul))=>(?[X]:((strong(X)<~>humble(X)))))&
((?[X]:((~funny(X)<~>happy(X))))=>(?[X]:((~generous(X)<~>~kind(X)))))&
(![X]:(~brave(X)=>(~funny(X)&~calm(X))))&
((?[X]:((~generous(X)&humble(X))))<=>((quiet(john)&generous(john))))&
(![X]:((happy(X)&funny(X))<=>~... | curious(paul) | [
"p3",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 475430250789601177619079
% SZS output start Proof for 475430250789601177619079
4. ! [X0] : (~brave(X0) => (~calm(X0) & ~funny(X0))) [input p3]
6. ! [X0] : ((funny(X0) & happy(X0)) <=> ~brave(X0)) [input p5]
15. ! [X0] : ((~brave(X0) & ~curious(X0)) <=> (~curious(X0) | humble(X0))) [input ... | 0 |
If someone is either calm or curious then someone is both calm and not humble.
If john is both quiet and old then someone is creative or humble and vice versa.
Everyone who is both not kind and not quiet is not kind or tall.
Everyone who is not curious or patient is not rich and vice versa.
Everyone who is not generous... | Fred is not funny. | neutral | ((?[X]:((calm(X)<~>curious(X))))=>(?[X]:((calm(X)&~humble(X)))))&
(((quiet(john)&old(john)))<=>(?[X]:((creative(X)|humble(X)))))&
(![X]:((~kind(X)&~quiet(X))=>(~kind(X)|tall(X))))&
(![X]:((~curious(X)|patient(X))<=>~rich(X)))&
(![X]:((~generous(X)|old(X))=>(~rich(X)&strong(X))))&
((brave(paul))<=>((quiet(alice)&~wise(a... | ~funny(fred) | [] | null | 0 |
If lucy is either not kind or curious then lucy is calm or curious.
If alice is not wise or tall then susan is creative or not kind.
If paul is rich then someone is not tall or not generous.
If someone is not wise or not creative then someone is either wise or not calm and vice versa.
Everyone who is either not strong ... | Susan is creative. | neutral | (((~kind(lucy)<~>curious(lucy)))=>((calm(lucy)|curious(lucy))))&
(((~wise(alice)|tall(alice)))=>((creative(susan)|~kind(susan))))&
((rich(paul))=>(?[X]:((~tall(X)|~generous(X)))))&
((?[X]:((~wise(X)|~creative(X))))<=>(?[X]:((wise(X)<~>~calm(X)))))&
(![X]:((~strong(X)<~>~creative(X))=>(creative(X)&funny(X))))&
(((funny(... | creative(susan) | [] | null | 0 |
If someone is either happy or funny then fred is not quiet or not funny and vice versa. Everyone who is both not happy and not quiet is either wise or not happy and vice versa. Everyone who is either not wise or not brave is both curious and not strong. If fred is old then lucy is either wise or not creative and vice v... | Mary is strong. | contradiction | ((?[X]:((happy(X)<~>funny(X))))<=>((~quiet(fred)|~funny(fred))))&
(![X]:((~happy(X)&~quiet(X))<=>(wise(X)<~>~happy(X))))&
(![X]:((~wise(X)<~>~brave(X))=>(curious(X)&~strong(X))))&
((old(fred))<=>((wise(lucy)<~>~creative(lucy))))&
(![X]:((brave(X)<~>tall(X))=>(wise(X)&~brave(X))))&
(((generous(susan)&~generous(susan)))<... | strong(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3868012108819343483676492
% SZS output start Proof for 3868012108819343483676492
6. (~generous(susan) & generous(susan)) <=> ? [X0] : (generous(X0) | strong(X0)) [input p5]
22. strong(mary) [input hypothesis]
46. ((~generous(susan) & generous(susan)) | ! [X0] : (~generous(X0) & ~strong(X0... | 0 |
Everyone who is not kind or creative is either not tall or funny.
Everyone who is either not curious or brave is either funny or generous.
If someone is tall or kind then susan is humble.
If alice is either not happy or not calm then john is funny or calm.
Everyone who is not wise is both wise and generous and vice ver... | Susan is not humble. | contradiction | (![X]:((~kind(X)|creative(X))=>(~tall(X)<~>funny(X))))&
(![X]:((~curious(X)<~>brave(X))=>(funny(X)<~>generous(X))))&
((?[X]:((tall(X)|kind(X))))=>(humble(susan)))&
(((~happy(alice)<~>~calm(alice)))=>((funny(john)|calm(john))))&
(![X]:(~wise(X)<=>(wise(X)&generous(X))))&
(((wise(paul)<~>~brave(paul)))<=>((patient(susan)... | ~humble(susan) | [
"p0",
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3655201228224273905465000
% SZS output start Proof for 3655201228224273905465000
1. ! [X0] : ((creative(X0) | ~kind(X0)) => (~tall(X0) <~> funny(X0))) [input p0]
3. ? [X0] : (kind(X0) | tall(X0)) => humble(susan) [input p2]
9. ? [X0] : (quiet(X0) | ~quiet(X0)) <=> (funny(alice) & ~curious... | 0 |
If someone is not rich then someone is either old or not kind.
If mary is funny then mary is not strong.
Everyone who is funny or quiet is both not brave and not patient and vice versa.
Everyone who is both not rich and happy is either not calm or tall.
If someone is either not rich or not happy then someone is either ... | Mary is happy. | contradiction | ((?[X]:(~rich(X)))=>(?[X]:((old(X)<~>~kind(X)))))&
((funny(mary))=>(~strong(mary)))&
(![X]:((funny(X)|quiet(X))<=>(~brave(X)&~patient(X))))&
(![X]:((~rich(X)&happy(X))=>(~calm(X)<~>tall(X))))&
((?[X]:((~rich(X)<~>~happy(X))))=>(?[X]:((kind(X)<~>calm(X)))))&
(![X]:((wise(X)&~humble(X))=>~happy(X)))&
(![X]:((brave(X)&~pa... | happy(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7862512114102797338609745
% SZS output start Proof for 7862512114102797338609745
18. quiet(mary) & ~happy(mary) [input p17]
25. happy(mary) [input hypothesis]
127. ~happy(mary) [cnf transformation 18]
138. happy(mary) [cnf transformation 25]
300. $false [subsumption resolution 138,127]
% ... | 0 |
Everyone who is either strong or quiet is either wise or calm and vice versa.
If someone is not generous or not brave then lucy is either quiet or not quiet.
Everyone who is both not humble and not funny is both brave and not strong.
Everyone who is not funny is not kind and vice versa.
Everyone who is either happy or ... | Lucy is old. | neutral | (![X]:((strong(X)<~>quiet(X))<=>(wise(X)<~>calm(X))))&
((?[X]:((~generous(X)|~brave(X))))=>((quiet(lucy)<~>~quiet(lucy))))&
(![X]:((~humble(X)&~funny(X))=>(brave(X)&~strong(X))))&
(![X]:(~funny(X)<=>~kind(X)))&
(![X]:((happy(X)<~>~rich(X))<=>(~tall(X)|happy(X))))&
((calm(paul))=>((funny(john)&~patient(john))))&
(![X]:(... | old(lucy) | [] | null | 0 |
Everyone who is calm or creative is both not old and not curious.
If someone is old then mary is not creative or kind and vice versa.
Everyone who is not curious is not calm and vice versa.
If someone is happy or not kind then someone is not patient or not strong.
Everyone who is not funny or not old is both not quiet ... | Alice is not curious. | entailment | (![X]:((calm(X)|creative(X))=>(~old(X)&~curious(X))))&
((?[X]:(old(X)))<=>((~creative(mary)|kind(mary))))&
(![X]:(~curious(X)<=>~calm(X)))&
((?[X]:((happy(X)|~kind(X))))=>(?[X]:((~patient(X)|~strong(X)))))&
(![X]:((~funny(X)|~old(X))<=>(~quiet(X)&generous(X))))&
(((wise(paul)|~tall(paul)))<=>((curious(john)|~tall(john)... | ~curious(alice) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1536470798668992701705596
% SZS output start Proof for 1536470798668992701705596
1. ! [X0] : ((creative(X0) | calm(X0)) => (~curious(X0) & ~old(X0))) [input p0]
3. ! [X0] : (~curious(X0) <=> ~calm(X0)) [input p2]
23. curious(alice) [input hypothesis]
28. ! [X0] : ((~curious(X0) & ~old(X0)... | 0 |
If someone is not generous then fred is either rich or kind and vice versa.
If mary is not happy or humble then someone is not happy or not generous and vice versa.
If susan is calm or not creative then someone is not happy and vice versa.
If alice is not strong or not funny then someone is tall.
If someone is both fun... | Alice is not generous. | entailment | ((?[X]:(~generous(X)))<=>((rich(fred)<~>kind(fred))))&
(((~happy(mary)|humble(mary)))<=>(?[X]:((~happy(X)|~generous(X)))))&
(((calm(susan)|~creative(susan)))<=>(?[X]:(~happy(X))))&
(((~strong(alice)|~funny(alice)))=>(?[X]:(tall(X))))&
((?[X]:((funny(X)&~strong(X))))<=>(?[X]:(rich(X))))&
((?[X]:((strong(X)&calm(X))))<=>... | ~generous(alice) | [
"p4",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8712863755083942114939572
% SZS output start Proof for 8712863755083942114939572
5. ? [X0] : (~strong(X0) & funny(X0)) <=> ? [X0] : rich(X0) [input p4]
8. ! [X0] : ((~strong(X0) & ~happy(X0)) <=> happy(X0)) [input p7]
10. ! [X0] : ((creative(X0) | ~happy(X0)) => (calm(X0) & ~creative(X0))... | 0 |
Everyone who is both curious and not curious is either old or humble and vice versa. If mary is both tall and not patient then someone is old or humble and vice versa. If fred is both calm and not calm then mary is either funny or not curious and vice versa. If susan is strong then mary is either not creative or strong... | Susan is not generous. | neutral | (![X]:((curious(X)&~curious(X))<=>(old(X)<~>humble(X))))&
(((tall(mary)&~patient(mary)))<=>(?[X]:((old(X)|humble(X)))))&
(((calm(fred)&~calm(fred)))<=>((funny(mary)<~>~curious(mary))))&
((strong(susan))<=>((~creative(mary)<~>strong(mary))))&
(((~rich(fred)&strong(fred)))=>(?[X]:((~quiet(X)&brave(X)))))&
(((~happy(mary)... | ~generous(susan) | [] | null | 0 |
Everyone who is both not tall and strong is funny and vice versa.
Everyone who is both curious and kind is not quiet or happy and vice versa.
Everyone who is not patient is not curious.
Everyone who is not patient or strong is either not quiet or humble.
Everyone who is not tall or not creative is humble and vice versa... | Susan is happy. | contradiction | (![X]:((~tall(X)&strong(X))<=>funny(X)))&
(![X]:((curious(X)&kind(X))<=>(~quiet(X)|happy(X))))&
(![X]:(~patient(X)=>~curious(X)))&
(![X]:((~patient(X)|strong(X))=>(~quiet(X)<~>humble(X))))&
(![X]:((~tall(X)|~creative(X))<=>humble(X)))&
(![X]:(quiet(X)<=>(~generous(X)&rich(X))))&
(![X]:((~humble(X)&creative(X))=>patient... | happy(susan) | [
"p0",
"p1",
"p4",
"p10",
"p11",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2406893616485877357460850
% SZS output start Proof for 2406893616485877357460850
1. ! [X0] : ((strong(X0) & ~tall(X0)) <=> funny(X0)) [input p0]
2. ! [X0] : ((kind(X0) & curious(X0)) <=> (happy(X0) | ~quiet(X0))) [input p1]
5. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> humble(X0)) [input p... | 0 |
Everyone who is both not kind and not tall is not happy or calm.
If lucy is rich or humble then lucy is not rich or not patient.
Everyone who is not wise or not happy is not curious or rich.
Everyone who is not strong is funny or brave and vice versa.
Everyone who is not tall or old is not wise and vice versa.
If alice... | Fred is wise. | entailment | (![X]:((~kind(X)&~tall(X))=>(~happy(X)|calm(X))))&
(((rich(lucy)|humble(lucy)))=>((~rich(lucy)|~patient(lucy))))&
(![X]:((~wise(X)|~happy(X))=>(~curious(X)|rich(X))))&
(![X]:(~strong(X)<=>(funny(X)|brave(X))))&
(![X]:((~tall(X)|old(X))<=>~wise(X)))&
(((creative(alice)&tall(alice)))<=>(?[X]:((funny(X)|~generous(X)))))&
... | wise(fred) | [
"p2",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 660217672345802626022788
% SZS output start Proof for 660217672345802626022788
3. ! [X0] : ((~happy(X0) | ~wise(X0)) => (rich(X0) | ~curious(X0))) [input p2]
8. ! [X0] : ((tall(X0) & curious(X0)) <=> rich(X0)) [input p7]
14. ! [X0] : ((curious(X0) <~> wise(X0)) <=> ~rich(X0)) [input p13]
... | 0 |
Everyone who is not quiet or not tall is either creative or not quiet.
If john is both not patient and not creative then someone is calm or humble.
Everyone who is either not strong or wise is tall and vice versa.
Everyone who is both not rich and not patient is both not wise and not calm and vice versa.
If paul is bot... | Fred is tall. | contradiction | (![X]:((~quiet(X)|~tall(X))=>(creative(X)<~>~quiet(X))))&
(((~patient(john)&~creative(john)))=>(?[X]:((calm(X)|humble(X)))))&
(![X]:((~strong(X)<~>wise(X))<=>tall(X)))&
(![X]:((~rich(X)&~patient(X))<=>(~wise(X)&~calm(X))))&
(((calm(paul)&creative(paul)))<=>(?[X]:((happy(X)|quiet(X)))))&
((rich(fred))=>(?[X]:((generous(... | tall(fred) | [
"p2",
"p6",
"p10",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7919578214748866785133535
% SZS output start Proof for 7919578214748866785133535
3. ! [X0] : ((~strong(X0) <~> wise(X0)) <=> tall(X0)) [input p2]
7. ! [X0] : (curious(X0) => (~curious(X0) <~> strong(X0))) [input p6]
11. ! [X0] : (wise(X0) => (creative(X0) & ~brave(X0))) [input p10]
15. ! ... | 0 |
Everyone who is either creative or not kind is either kind or not tall. If susan is both funny and rich then someone is both not funny and brave. Everyone who is not creative or not calm is both not patient and creative. Everyone who is both creative and not curious is patient or humble. Everyone who is both not funny ... | John is brave. | neutral | (![X]:((creative(X)<~>~kind(X))=>(kind(X)<~>~tall(X))))&
(((funny(susan)&rich(susan)))=>(?[X]:((~funny(X)&brave(X)))))&
(![X]:((~creative(X)|~calm(X))=>(~patient(X)&creative(X))))&
(![X]:((creative(X)&~curious(X))=>(patient(X)|humble(X))))&
(![X]:((~funny(X)&quiet(X))<=>(~old(X)<~>~kind(X))))&
(![X]:(quiet(X)=>(~curiou... | brave(john) | [] | null | 0 |
If john is patient then lucy is not quiet.
Everyone who is both brave and rich is calm or not patient.
Everyone who is both calm and curious is either not patient or rich.
Everyone who is both humble and not tall is quiet and vice versa.
If someone is not strong then someone is both quiet and not rich and vice versa.
E... | Mary is not funny. | neutral | ((patient(john))=>(~quiet(lucy)))&
(![X]:((brave(X)&rich(X))=>(calm(X)|~patient(X))))&
(![X]:((calm(X)&curious(X))=>(~patient(X)<~>rich(X))))&
(![X]:((humble(X)&~tall(X))<=>quiet(X)))&
((?[X]:(~strong(X)))<=>(?[X]:((quiet(X)&~rich(X)))))&
(![X]:(old(X)=>(~wise(X)|patient(X))))&
((?[X]:((~happy(X)&curious(X))))=>(?[X]:(... | ~funny(mary) | [] | null | 0 |
If susan is either not tall or generous then someone is humble and vice versa.
Everyone who is either not old or not creative is strong or curious.
Everyone who is generous or funny is both not funny and not quiet.
If susan is kind or wise then someone is either generous or old and vice versa.
Everyone who is both quie... | Paul is kind. | entailment | (((~tall(susan)<~>generous(susan)))<=>(?[X]:(humble(X))))&
(![X]:((~old(X)<~>~creative(X))=>(strong(X)|curious(X))))&
(![X]:((generous(X)|funny(X))=>(~funny(X)&~quiet(X))))&
(((kind(susan)|wise(susan)))<=>(?[X]:((generous(X)<~>old(X)))))&
(![X]:((quiet(X)&calm(X))<=>(~happy(X)&patient(X))))&
(![X]:((~kind(X)&curious(X)... | kind(paul) | [
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2647581945761229607110516
% SZS output start Proof for 2647581945761229607110516
8. (~kind(paul) | ~creative(paul)) => (brave(john) | ~wise(john)) [input p7]
19. ~brave(john) & wise(john) [input p18]
25. ~kind(paul) [input hypothesis]
31. (brave(john) | ~wise(john)) | (kind(paul) & creati... | 0 |
Everyone who is both curious and not quiet is either brave or calm and vice versa.
If someone is both calm and not wise then someone is patient or calm and vice versa.
If someone is either not happy or quiet then mary is both not patient and not calm and vice versa.
If paul is both creative and not rich then mary is no... | Susan is funny. | contradiction | (![X]:((curious(X)&~quiet(X))<=>(brave(X)<~>calm(X))))&
((?[X]:((calm(X)&~wise(X))))<=>(?[X]:((patient(X)|calm(X)))))&
((?[X]:((~happy(X)<~>quiet(X))))<=>((~patient(mary)&~calm(mary))))&
(((creative(paul)&~rich(paul)))=>((~tall(mary)|creative(mary))))&
(![X]:((~old(X)|funny(X))=>(old(X)<~>~patient(X))))&
((~wise(john))... | funny(susan) | [
"p1",
"p4",
"p6",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 387655058182514287663483
% SZS output start Proof for 387655058182514287663483
2. ? [X0] : (~wise(X0) & calm(X0)) <=> ? [X0] : (calm(X0) | patient(X0)) [input p1]
5. ! [X0] : ((funny(X0) | ~old(X0)) => (old(X0) <~> ~patient(X0))) [input p4]
7. ! [X0] : (~calm(X0) <=> (~wise(X0) | creative... | 0 |
Everyone who is wise is old and vice versa.
If john is both not curious and calm then lucy is tall.
Everyone who is either not patient or kind is both not rich and patient and vice versa.
Everyone who is not humble or not patient is either not happy or not brave and vice versa.
Everyone who is strong or curious is not ... | Susan is creative. | neutral | (![X]:(wise(X)<=>old(X)))&
(((~curious(john)&calm(john)))=>(tall(lucy)))&
(![X]:((~patient(X)<~>kind(X))<=>(~rich(X)&patient(X))))&
(![X]:((~humble(X)|~patient(X))<=>(~happy(X)<~>~brave(X))))&
(![X]:((strong(X)|curious(X))<=>~happy(X)))&
(((~calm(mary)&humble(mary)))=>(?[X]:((generous(X)|patient(X)))))&
(![X]:((brave(X... | creative(susan) | [] | null | 0 |
If someone is either not rich or generous then fred is either calm or not old and vice versa. Everyone who is curious or brave is either happy or not patient and vice versa. Everyone who is both not quiet and not patient is brave or humble. Everyone who is both not funny and generous is wise or not tall. Everyone who i... | Lucy is generous. | neutral | ((?[X]:((~rich(X)<~>generous(X))))<=>((calm(fred)<~>~old(fred))))&
(![X]:((curious(X)|brave(X))<=>(happy(X)<~>~patient(X))))&
(![X]:((~quiet(X)&~patient(X))=>(brave(X)|humble(X))))&
(![X]:((~funny(X)&generous(X))=>(wise(X)|~tall(X))))&
(![X]:((brave(X)<~>tall(X))=>(happy(X)|~quiet(X))))&
(((strong(paul)&~tall(paul)))=>... | generous(lucy) | [] | null | 0 |
If fred is either not calm or not curious then alice is strong or not funny and vice versa. Everyone who is not patient is not quiet or old. Everyone who is strong is happy or old. If lucy is not calm or not humble then john is both not happy and patient. If susan is not rich then someone is either quiet or not old and... | Lucy is not curious. | entailment | (((~calm(fred)<~>~curious(fred)))<=>((strong(alice)|~funny(alice))))&
(![X]:(~patient(X)=>(~quiet(X)|old(X))))&
(![X]:(strong(X)=>(happy(X)|old(X))))&
(((~calm(lucy)|~humble(lucy)))=>((~happy(john)&patient(john))))&
((~rich(susan))<=>(?[X]:((quiet(X)<~>~old(X)))))&
((?[X]:((~humble(X)<~>humble(X))))<=>((wise(paul)|quie... | ~curious(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6698631482843228193887456
% SZS output start Proof for 6698631482843228193887456
7. ! [X0] : ((curious(X0) | ~kind(X0)) => (~curious(X0) & quiet(X0))) [input p6]
25. curious(lucy) [input hypothesis]
34. ! [X0] : ((~curious(X0) & quiet(X0)) | (~curious(X0) & kind(X0))) [ennf transformation... | 0 |
Everyone who is creative is not wise.
If someone is either not creative or tall then someone is old.
Everyone who is patient or not generous is both strong and generous and vice versa.
Everyone who is not tall or humble is either creative or quiet and vice versa.
Everyone who is not calm is both old and generous and vi... | Alice is brave. | contradiction | (![X]:(creative(X)=>~wise(X)))&
((?[X]:((~creative(X)<~>tall(X))))=>(?[X]:(old(X))))&
(![X]:((patient(X)|~generous(X))<=>(strong(X)&generous(X))))&
(![X]:((~tall(X)|humble(X))<=>(creative(X)<~>quiet(X))))&
(![X]:(~calm(X)<=>(old(X)&generous(X))))&
(![X]:((strong(X)|calm(X))<=>(tall(X)&funny(X))))&
(![X]:((curious(X)|~c... | brave(alice) | [
"p2",
"p5",
"p7",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2796085521794747600285912
% SZS output start Proof for 2796085521794747600285912
3. ! [X0] : ((~generous(X0) | patient(X0)) <=> (generous(X0) & strong(X0))) [input p2]
6. ! [X0] : ((calm(X0) | strong(X0)) <=> (funny(X0) & tall(X0))) [input p5]
8. ? [X0] : patient(X0) => (~kind(mary) & ric... | 0 |
If alice is curious or funny then lucy is either not tall or not strong and vice versa. If mary is not calm or quiet then someone is not humble and vice versa. Everyone who is not quiet is not rich. Everyone who is either quiet or not calm is both not strong and not quiet and vice versa. Everyone who is wise or calm is... | Fred is not creative. | neutral | (((curious(alice)|funny(alice)))<=>((~tall(lucy)<~>~strong(lucy))))&
(((~calm(mary)|quiet(mary)))<=>(?[X]:(~humble(X))))&
(![X]:(~quiet(X)=>~rich(X)))&
(![X]:((quiet(X)<~>~calm(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((wise(X)|calm(X))<=>~funny(X)))&
((?[X]:((humble(X)&~patient(X))))<=>((quiet(john)&creative(john))))&
((... | ~creative(fred) | [] | null | 0 |
Everyone who is brave is both not tall and quiet.
If john is either not patient or not quiet then lucy is either kind or not wise.
Everyone who is creative or not humble is either not kind or not rich and vice versa.
Everyone who is either funny or curious is calm or not humble and vice versa.
Everyone who is kind or n... | Paul is not rich. | neutral | (![X]:(brave(X)=>(~tall(X)&quiet(X))))&
(((~patient(john)<~>~quiet(john)))=>((kind(lucy)<~>~wise(lucy))))&
(![X]:((creative(X)|~humble(X))<=>(~kind(X)<~>~rich(X))))&
(![X]:((funny(X)<~>curious(X))<=>(calm(X)|~humble(X))))&
(![X]:((kind(X)|~happy(X))<=>(curious(X)<~>~humble(X))))&
(![X]:((~tall(X)|~old(X))<=>(~generous(... | ~rich(paul) | [] | null | 0 |
If someone is not kind or not creative then lucy is not generous and vice versa.
Everyone who is not brave or not quiet is both creative and not kind.
Everyone who is both not patient and not wise is not wise.
If someone is not funny then lucy is either rich or strong and vice versa.
Everyone who is happy or not rich i... | Alice is old. | entailment | ((?[X]:((~kind(X)|~creative(X))))<=>(~generous(lucy)))&
(![X]:((~brave(X)|~quiet(X))=>(creative(X)&~kind(X))))&
(![X]:((~patient(X)&~wise(X))=>~wise(X)))&
((?[X]:(~funny(X)))<=>((rich(lucy)<~>strong(lucy))))&
(![X]:((happy(X)|~rich(X))=>(~wise(X)|kind(X))))&
(![X]:(curious(X)<=>(humble(X)|~rich(X))))&
((old(fred))=>(?[... | old(alice) | [
"p0",
"p5",
"p8",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2891707309499167137459749
% SZS output start Proof for 2891707309499167137459749
1. ? [X0] : (~creative(X0) | ~kind(X0)) <=> ~generous(lucy) [input p0]
6. ! [X0] : (curious(X0) <=> (~rich(X0) | humble(X0))) [input p5]
9. ! [X0] : (creative(X0) => (~patient(X0) | old(X0))) [input p8]
13. (... | 0 |
Everyone who is both not humble and quiet is either not quiet or patient and vice versa.
Everyone who is either funny or rich is not curious or not funny.
If someone is not humble then someone is both not kind and not quiet and vice versa.
If someone is not tall or not creative then paul is strong.
If lucy is both curi... | Susan is not tall. | neutral | (![X]:((~humble(X)&quiet(X))<=>(~quiet(X)<~>patient(X))))&
(![X]:((funny(X)<~>rich(X))=>(~curious(X)|~funny(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((~kind(X)&~quiet(X)))))&
((?[X]:((~tall(X)|~creative(X))))=>(strong(paul)))&
(((curious(lucy)&creative(lucy)))<=>((~curious(susan)<~>~patient(susan))))&
((?[X]:(~funny(X)))=>(... | ~tall(susan) | [] | null | 0 |
If paul is both not funny and funny then someone is either not strong or not old. Everyone who is not wise is either quiet or funny. If someone is brave or generous then fred is not curious and vice versa. Everyone who is kind or rich is wise or not calm and vice versa. Everyone who is either not brave or not wise is n... | Susan is not tall. | entailment | (((~funny(paul)&funny(paul)))=>(?[X]:((~strong(X)<~>~old(X)))))&
(![X]:(~wise(X)=>(quiet(X)<~>funny(X))))&
((?[X]:((brave(X)|generous(X))))<=>(~curious(fred)))&
(![X]:((kind(X)|rich(X))<=>(wise(X)|~calm(X))))&
(![X]:((~brave(X)<~>~wise(X))<=>~rich(X)))&
((?[X]:(patient(X)))<=>(~kind(paul)))&
(![X]:((curious(X)<~>~creat... | ~tall(susan) | [
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1398572771762678930253986
% SZS output start Proof for 1398572771762678930253986
8. ! [X0] : ((generous(X0) | creative(X0)) => (wise(X0) & ~tall(X0))) [input p7]
19. ~creative(susan) <~> ~generous(susan) [input p18]
25. tall(susan) [input hypothesis]
29. ! [X0] : ((wise(X0) & ~tall(X0)) |... | 0 |
If someone is both not quiet and not creative then mary is not funny or not quiet.
Everyone who is both not kind and wise is calm or generous and vice versa.
If someone is generous or creative then someone is both not funny and funny.
Everyone who is not calm is not humble and vice versa.
If someone is patient or happy... | John is happy. | contradiction | ((?[X]:((~quiet(X)&~creative(X))))=>((~funny(mary)|~quiet(mary))))&
(![X]:((~kind(X)&wise(X))<=>(calm(X)|generous(X))))&
((?[X]:((generous(X)|creative(X))))=>(?[X]:((~funny(X)&funny(X)))))&
(![X]:(~calm(X)<=>~humble(X)))&
((?[X]:((patient(X)|happy(X))))=>(?[X]:((strong(X)&creative(X)))))&
((?[X]:((~strong(X)<~>generous... | happy(john) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 246296887571554207812309
% SZS output start Proof for 246296887571554207812309
3. ? [X0] : (creative(X0) | generous(X0)) => ? [X0] : (funny(X0) & ~funny(X0)) [input p2]
5. ? [X0] : (happy(X0) | patient(X0)) => ? [X0] : (creative(X0) & strong(X0)) [input p4]
20. happy(john) [input hypothes... | 0 |
Everyone who is not kind is both rich and strong.
Everyone who is both not calm and calm is humble or creative and vice versa.
Everyone who is both not funny and not patient is not kind or not patient.
If lucy is both not happy and not patient then someone is quiet or not old and vice versa.
Everyone who is both not ol... | Alice is creative. | contradiction | (![X]:(~kind(X)=>(rich(X)&strong(X))))&
(![X]:((~calm(X)&calm(X))<=>(humble(X)|creative(X))))&
(![X]:((~funny(X)&~patient(X))=>(~kind(X)|~patient(X))))&
(((~happy(lucy)&~patient(lucy)))<=>(?[X]:((quiet(X)|~old(X)))))&
(![X]:((~old(X)&brave(X))<=>(~funny(X)|happy(X))))&
(((creative(lucy)&~curious(lucy)))=>(?[X]:((~funny... | creative(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6549315488418554419241320
% SZS output start Proof for 6549315488418554419241320
2. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (creative(X0) | humble(X0))) [input p1]
23. creative(alice) [input hypothesis]
38. ! [X0] : (((calm(X0) & ~calm(X0)) | (~creative(X0) & ~humble(X0))) & ((creative(X0) |... | 0 |
Everyone who is either not tall or not creative is not patient and vice versa.
If someone is old then mary is both humble and not quiet and vice versa.
If john is both strong and curious then paul is either not old or not rich and vice versa.
Everyone who is either generous or humble is either calm or not curious.
Ever... | Fred is not tall. | contradiction | (![X]:((~tall(X)<~>~creative(X))<=>~patient(X)))&
((?[X]:(old(X)))<=>((humble(mary)&~quiet(mary))))&
(((strong(john)&curious(john)))<=>((~old(paul)<~>~rich(paul))))&
(![X]:((generous(X)<~>humble(X))=>(calm(X)<~>~curious(X))))&
(![X]:((~generous(X)|rich(X))<=>kind(X)))&
(![X]:((~patient(X)<~>creative(X))=>creative(X)))&... | ~tall(fred) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p8",
"p10",
"p11",
"p13",
"p14",
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 613827486984717272802246
% SZS output start Proof for 613827486984717272802246
1. ! [X0] : ((~tall(X0) <~> ~creative(X0)) <=> ~patient(X0)) [input p0]
2. ? [X0] : old(X0) <=> (~quiet(mary) & humble(mary)) [input p1]
4. ! [X0] : ((generous(X0) <~> humble(X0)) => (calm(X0) <~> ~curious(X0))... | 0 |
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