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 |
|---|---|---|---|---|---|---|---|
Everyone who is either kind or not calm is not brave and vice versa.
If someone is tall then someone is wise and vice versa.
Everyone who is not curious or curious is either not funny or brave.
Everyone who is both brave and kind is not strong or happy and vice versa.
If john is not happy or patient then someone is kin... | Fred is not happy. | neutral | (![X]:((kind(X)<~>~calm(X))<=>~brave(X)))&
((?[X]:(tall(X)))<=>(?[X]:(wise(X))))&
(![X]:((~curious(X)|curious(X))=>(~funny(X)<~>brave(X))))&
(![X]:((brave(X)&kind(X))<=>(~strong(X)|happy(X))))&
(((~happy(john)|patient(john)))=>(?[X]:(kind(X))))&
(![X]:(strong(X)<=>(~tall(X)&funny(X))))&
(((~wise(paul)<~>old(paul)))=>(?... | ~happy(fred) | [] | null | 0 |
If someone is not wise or calm then someone is not wise or creative and vice versa.
If someone is both not kind and not wise then someone is either old or not wise.
Everyone who is kind or strong is either quiet or not patient and vice versa.
Everyone who is both brave and funny is creative.
If fred is both wise and no... | Lucy is not generous. | neutral | ((?[X]:((~wise(X)|calm(X))))<=>(?[X]:((~wise(X)|creative(X)))))&
((?[X]:((~kind(X)&~wise(X))))=>(?[X]:((old(X)<~>~wise(X)))))&
(![X]:((kind(X)|strong(X))<=>(quiet(X)<~>~patient(X))))&
(![X]:((brave(X)&funny(X))=>creative(X)))&
(((wise(fred)&~old(fred)))<=>((strong(alice)|tall(alice))))&
(![X]:(~humble(X)<=>quiet(X)))&
... | ~generous(lucy) | [] | null | 0 |
Everyone who is both calm and not funny is humble or not generous and vice versa. Everyone who is either funny or happy is not patient. If susan is not happy then someone is not brave or wise. If someone is both humble and creative then lucy is old or brave and vice versa. If someone is either brave or not humble then ... | Lucy is not generous. | contradiction | (![X]:((calm(X)&~funny(X))<=>(humble(X)|~generous(X))))&
(![X]:((funny(X)<~>happy(X))=>~patient(X)))&
((~happy(susan))=>(?[X]:((~brave(X)|wise(X)))))&
((?[X]:((humble(X)&creative(X))))<=>((old(lucy)|brave(lucy))))&
((?[X]:((brave(X)<~>~humble(X))))<=>((tall(lucy)<~>creative(lucy))))&
((?[X]:(~old(X)))<=>(~humble(fred))... | ~generous(lucy) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3153808716168727274782260
% SZS output start Proof for 3153808716168727274782260
1. ! [X0] : ((~funny(X0) & calm(X0)) <=> (~generous(X0) | humble(X0))) [input p0]
15. ! [X0] : ((funny(X0) & ~brave(X0)) <=> (wise(X0) | ~funny(X0))) [input p14]
22. ~generous(lucy) [input hypothesis]
30. ! [... | 0 |
If someone is strong or not rich then paul is both quiet and kind.
If someone is rich then lucy is either not generous or kind.
If someone is tall then fred is patient and vice versa.
If someone is both humble and not patient then someone is both not brave and kind.
If someone is either brave or creative then mary is n... | Mary is strong. | entailment | ((?[X]:((strong(X)|~rich(X))))=>((quiet(paul)&kind(paul))))&
((?[X]:(rich(X)))=>((~generous(lucy)<~>kind(lucy))))&
((?[X]:(tall(X)))<=>(patient(fred)))&
((?[X]:((humble(X)&~patient(X))))=>(?[X]:((~brave(X)&kind(X)))))&
((?[X]:((brave(X)<~>creative(X))))<=>((~brave(mary)|~patient(mary))))&
((?[X]:((~curious(X)&~quiet(X)... | strong(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8562358858109996650488384
% SZS output start Proof for 8562358858109996650488384
13. ! [X0] : (rich(X0) <=> (~rich(X0) <~> strong(X0))) [input p12]
25. ~strong(mary) [input hypothesis]
69. ! [X0] : ((rich(X0) | ((~rich(X0) | ~strong(X0)) & (strong(X0) | rich(X0)))) & (((~strong(X0) | rich... | 0 |
Everyone who is either not generous or happy is both not patient and not happy.
Everyone who is creative or brave is not strong or not happy.
If someone is quiet then mary is not creative and vice versa.
If paul is both generous and creative then someone is not funny or happy and vice versa.
Everyone who is patient or ... | Paul is wise. | entailment | (![X]:((~generous(X)<~>happy(X))=>(~patient(X)&~happy(X))))&
(![X]:((creative(X)|brave(X))=>(~strong(X)|~happy(X))))&
((?[X]:(quiet(X)))<=>(~creative(mary)))&
(((generous(paul)&creative(paul)))<=>(?[X]:((~funny(X)|happy(X)))))&
(![X]:((patient(X)|~wise(X))=>~curious(X)))&
((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:((~calm(X... | wise(paul) | [
"p4",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2977731556812954663438096
% SZS output start Proof for 2977731556812954663438096
5. ! [X0] : ((~wise(X0) | patient(X0)) => ~curious(X0)) [input p4]
7. ! [X0] : ((strong(X0) | patient(X0)) <=> (happy(X0) & kind(X0))) [input p6]
15. ? [X0] : happy(X0) <=> (curious(lucy) & ~wise(lucy)) [inpu... | 0 |
Everyone who is both not curious and calm is both humble and patient and vice versa. If someone is not rich or brave then lucy is both old and wise. Everyone who is not humble is generous or tall. Everyone who is curious is both humble and rich and vice versa. If someone is both not patient and strong then john is stro... | Paul is not wise. | entailment | (![X]:((~curious(X)&calm(X))<=>(humble(X)&patient(X))))&
((?[X]:((~rich(X)|brave(X))))=>((old(lucy)&wise(lucy))))&
(![X]:(~humble(X)=>(generous(X)|tall(X))))&
(![X]:(curious(X)<=>(humble(X)&rich(X))))&
((?[X]:((~patient(X)&strong(X))))<=>(strong(john)))&
(((calm(susan)|~kind(susan)))<=>((creative(fred)&~happy(fred))))&... | ~wise(paul) | [
"p0",
"p3",
"p8",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 674249477296874393241256
% SZS output start Proof for 674249477296874393241256
1. ! [X0] : ((calm(X0) & ~curious(X0)) <=> (patient(X0) & humble(X0))) [input p0]
4. ! [X0] : (curious(X0) <=> (rich(X0) & humble(X0))) [input p3]
9. ! [X0] : (wise(X0) <=> (old(X0) & ~humble(X0))) [input p8]
1... | 0 |
Everyone who is both not brave and patient is both quiet and not creative.
If fred is both not funny and not strong then susan is both rich and curious.
Everyone who is either curious or not wise is not strong.
Everyone who is both not funny and not quiet is creative.
Everyone who is either rich or not happy is both no... | Paul is tall. | contradiction | (![X]:((~brave(X)&patient(X))=>(quiet(X)&~creative(X))))&
(((~funny(fred)&~strong(fred)))=>((rich(susan)&curious(susan))))&
(![X]:((curious(X)<~>~wise(X))=>~strong(X)))&
(![X]:((~funny(X)&~quiet(X))=>creative(X)))&
(![X]:((rich(X)<~>~happy(X))<=>(~old(X)&~happy(X))))&
(((brave(susan)<~>curious(susan)))=>(?[X]:((strong(... | tall(paul) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 401580327494245273336179
% SZS output start Proof for 401580327494245273336179
17. ~tall(paul) & rich(paul) [input p16]
25. tall(paul) [input hypothesis]
119. ~tall(paul) [cnf transformation 17]
131. tall(paul) [cnf transformation 25]
291. $false [subsumption resolution 131,119]
% SZS out... | 0 |
Everyone who is not calm or calm is funny. If someone is rich or not curious then john is rich or not rich. If someone is not rich or not funny then susan is tall or not old and vice versa. Everyone who is both not curious and not generous is either old or kind and vice versa. Everyone who is not curious or not generou... | Alice is creative. | entailment | (![X]:((~calm(X)|calm(X))=>funny(X)))&
((?[X]:((rich(X)|~curious(X))))=>((rich(john)|~rich(john))))&
((?[X]:((~rich(X)|~funny(X))))<=>((tall(susan)|~old(susan))))&
(![X]:((~curious(X)&~generous(X))<=>(old(X)<~>kind(X))))&
(![X]:((~curious(X)|~generous(X))=>(tall(X)<~>creative(X))))&
(((~kind(susan)<~>brave(susan)))<=>(... | creative(alice) | [
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 805368596315449636521081
% SZS output start Proof for 805368596315449636521081
8. ? [X0] : (kind(X0) & ~quiet(X0)) <=> (creative(alice) & strong(alice)) [input p7]
20. ~quiet(john) & kind(john) [input p19]
25. ~creative(alice) [input hypothesis]
49. (? [X0] : (kind(X0) & ~quiet(X0)) | (~c... | 0 |
If susan is rich or funny then alice is both rich and brave.
Everyone who is either kind or not calm is not brave or kind and vice versa.
If alice is not happy or old then fred is brave.
Everyone who is not generous or not old is both not brave and brave.
Everyone who is not kind is either not tall or not funny and vic... | Lucy is not funny. | entailment | (((rich(susan)|funny(susan)))=>((rich(alice)&brave(alice))))&
(![X]:((kind(X)<~>~calm(X))<=>(~brave(X)|kind(X))))&
(((~happy(alice)|old(alice)))=>(brave(fred)))&
(![X]:((~generous(X)|~old(X))=>(~brave(X)&brave(X))))&
(![X]:(~kind(X)<=>(~tall(X)<~>~funny(X))))&
(![X]:((~wise(X)&~old(X))=>(~humble(X)&~kind(X))))&
(![X]:(... | ~funny(lucy) | [
"p1",
"p6",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8737402868312850229496865
% SZS output start Proof for 8737402868312850229496865
2. ! [X0] : ((kind(X0) <~> ~calm(X0)) <=> (kind(X0) | ~brave(X0))) [input p1]
7. ! [X0] : ((~funny(X0) | ~brave(X0)) => ~calm(X0)) [input p6]
8. ? [X0] : (~kind(X0) | ~generous(X0)) <=> ~funny(lucy) [input p7... | 0 |
Everyone who is not calm or kind is either quiet or creative and vice versa.
If fred is either happy or generous then someone is either not humble or generous.
If susan is happy or creative then susan is both rich and not old and vice versa.
Everyone who is tall or not old is both calm and brave.
Everyone who is happy ... | Mary is not generous. | neutral | (![X]:((~calm(X)|kind(X))<=>(quiet(X)<~>creative(X))))&
(((happy(fred)<~>generous(fred)))=>(?[X]:((~humble(X)<~>generous(X)))))&
(((happy(susan)|creative(susan)))<=>((rich(susan)&~old(susan))))&
(![X]:((tall(X)|~old(X))=>(calm(X)&brave(X))))&
(![X]:((happy(X)|~kind(X))<=>~rich(X)))&
(![X]:((happy(X)&~old(X))<=>~calm(X)... | ~generous(mary) | [] | null | 0 |
If alice is both not generous and not brave then someone is both funny and not kind. Everyone who is not happy is both not kind and not funny. Everyone who is both funny and not humble is both kind and not strong and vice versa. Everyone who is either not tall or not happy is either not patient or not old and vice vers... | Lucy is wise. | neutral | (((~generous(alice)&~brave(alice)))=>(?[X]:((funny(X)&~kind(X)))))&
(![X]:(~happy(X)=>(~kind(X)&~funny(X))))&
(![X]:((funny(X)&~humble(X))<=>(kind(X)&~strong(X))))&
(![X]:((~tall(X)<~>~happy(X))<=>(~patient(X)<~>~old(X))))&
((?[X]:((curious(X)&~humble(X))))=>((rich(lucy)&~wise(lucy))))&
(((curious(mary)&~tall(mary)))=>... | wise(lucy) | [] | null | 0 |
Everyone who is happy is not strong and vice versa.
Everyone who is either not tall or strong is either quiet or not brave and vice versa.
If someone is quiet or brave then someone is both strong and funny.
If susan is both not patient and old then someone is both calm and humble and vice versa.
Everyone who is both ri... | Susan is not kind. | neutral | (![X]:(happy(X)<=>~strong(X)))&
(![X]:((~tall(X)<~>strong(X))<=>(quiet(X)<~>~brave(X))))&
((?[X]:((quiet(X)|brave(X))))=>(?[X]:((strong(X)&funny(X)))))&
(((~patient(susan)&old(susan)))<=>(?[X]:((calm(X)&humble(X)))))&
(![X]:((rich(X)&~funny(X))<=>happy(X)))&
(![X]:((~old(X)<~>strong(X))=>brave(X)))&
(![X]:((~kind(X)<~>... | ~kind(susan) | [] | null | 0 |
Everyone who is not calm or not happy is both not funny and not rich and vice versa. If fred is funny then someone is funny or calm. Everyone who is tall or rich is either humble or not rich. If alice is either patient or not rich then lucy is not old and vice versa. If paul is not kind then someone is both quiet and n... | Alice is funny. | contradiction | (![X]:((~calm(X)|~happy(X))<=>(~funny(X)&~rich(X))))&
((funny(fred))=>(?[X]:((funny(X)|calm(X)))))&
(![X]:((tall(X)|rich(X))=>(humble(X)<~>~rich(X))))&
(((patient(alice)<~>~rich(alice)))<=>(~old(lucy)))&
((~kind(paul))<=>(?[X]:((quiet(X)&~happy(X)))))&
(![X]:(~happy(X)<=>(~creative(X)&~tall(X))))&
(![X]:((wise(X)|~quie... | funny(alice) | [
"p0",
"p2",
"p6",
"p8",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4189572648199157411349857
% SZS output start Proof for 4189572648199157411349857
1. ! [X0] : ((~happy(X0) | ~calm(X0)) <=> (~rich(X0) & ~funny(X0))) [input p0]
3. ! [X0] : ((rich(X0) | tall(X0)) => (humble(X0) <~> ~rich(X0))) [input p2]
7. ! [X0] : ((~quiet(X0) | wise(X0)) => tall(X0)) [i... | 0 |
If someone is both not tall and not humble then john is either strong or not curious and vice versa.
Everyone who is not kind is tall or not curious.
Everyone who is creative or not patient is not kind and vice versa.
If someone is not funny then susan is both not wise and patient and vice versa.
If someone is either c... | Mary is not curious. | contradiction | ((?[X]:((~tall(X)&~humble(X))))<=>((strong(john)<~>~curious(john))))&
(![X]:(~kind(X)=>(tall(X)|~curious(X))))&
(![X]:((creative(X)|~patient(X))<=>~kind(X)))&
((?[X]:(~funny(X)))<=>((~wise(susan)&patient(susan))))&
((?[X]:((curious(X)<~>tall(X))))<=>(?[X]:((~happy(X)<~>~generous(X)))))&
(![X]:((creative(X)|~humble(X))=... | ~curious(mary) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7492571467986563377776947
% SZS output start Proof for 7492571467986563377776947
6. ! [X0] : ((~humble(X0) | creative(X0)) => curious(X0)) [input p5]
8. ! [X0] : (humble(X0) <=> (~curious(X0) & creative(X0))) [input p7]
23. ~curious(mary) [input hypothesis]
31. ! [X0] : (curious(X0) | (hu... | 0 |
If mary is both not funny and not curious then mary is both not rich and not tall and vice versa.
If someone is either not generous or generous then someone is both funny and not rich and vice versa.
If someone is either not calm or not kind then someone is funny.
If fred is kind then susan is either humble or not stro... | Mary is calm. | contradiction | (((~funny(mary)&~curious(mary)))<=>((~rich(mary)&~tall(mary))))&
((?[X]:((~generous(X)<~>generous(X))))<=>(?[X]:((funny(X)&~rich(X)))))&
((?[X]:((~calm(X)<~>~kind(X))))=>(?[X]:(funny(X))))&
((kind(fred))=>((humble(susan)<~>~strong(susan))))&
((?[X]:(~wise(X)))=>(?[X]:((humble(X)|~quiet(X)))))&
((~brave(paul))<=>(~gener... | calm(mary) | [
"p6",
"p8",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 225798928463453920531219
% SZS output start Proof for 225798928463453920531219
7. ! [X0] : ((~wise(X0) | ~rich(X0)) <=> (~generous(X0) <~> happy(X0))) [input p6]
9. ! [X0] : ((~generous(X0) <~> rich(X0)) <=> ~calm(X0)) [input p8]
12. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (curious(X0)... | 0 |
Everyone who is not kind or curious is happy and vice versa.
If paul is both quiet and not kind then john is both quiet and not quiet and vice versa.
Everyone who is not curious is not creative or patient.
Everyone who is either not quiet or kind is both patient and not patient.
Everyone who is not funny is both not cr... | Paul is not creative. | entailment | (![X]:((~kind(X)|curious(X))<=>happy(X)))&
(((quiet(paul)&~kind(paul)))<=>((quiet(john)&~quiet(john))))&
(![X]:(~curious(X)=>(~creative(X)|patient(X))))&
(![X]:((~quiet(X)<~>kind(X))=>(patient(X)&~patient(X))))&
(![X]:(~funny(X)<=>(~creative(X)&rich(X))))&
((?[X]:(~tall(X)))<=>(?[X]:(tall(X))))&
(((wise(paul)&~creative... | ~creative(paul) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4605518826832552177292969
% SZS output start Proof for 4605518826832552177292969
23. ~creative(paul) & curious(paul) [input p22]
24. creative(paul) [input hypothesis]
127. ~creative(paul) [cnf transformation 23]
128. creative(paul) [cnf transformation 24]
167. 9 <=> creative(paul) [avatar... | 0 |
If someone is quiet or not kind then john is brave and vice versa.
If mary is rich then someone is creative.
Everyone who is either not kind or kind is not tall and vice versa.
If alice is either not curious or not old then alice is happy or not generous and vice versa.
If john is both happy and not calm then someone i... | Fred is strong. | contradiction | ((?[X]:((quiet(X)|~kind(X))))<=>(brave(john)))&
((rich(mary))=>(?[X]:(creative(X))))&
(![X]:((~kind(X)<~>kind(X))<=>~tall(X)))&
(((~curious(alice)<~>~old(alice)))<=>((happy(alice)|~generous(alice))))&
(((happy(john)&~calm(john)))<=>(?[X]:(~strong(X))))&
((?[X]:((~patient(X)|humble(X))))<=>(?[X]:(rich(X))))&
(((~calm(jo... | strong(fred) | [
"p2",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2562831226622848721475594
% SZS output start Proof for 2562831226622848721475594
3. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> ~tall(X0)) [input p2]
10. ! [X0] : ((strong(X0) | calm(X0)) <=> (creative(X0) & brave(X0))) [input p9]
11. ! [X0] : (strong(X0) <=> (tall(X0) <~> ~brave(X0))) [input ... | 0 |
If lucy is both not calm and not humble then alice is not kind and vice versa.
Everyone who is either brave or not old is quiet and vice versa.
If john is both happy and rich then someone is not humble or funny and vice versa.
If paul is not funny or creative then alice is both not curious and not strong and vice versa... | Alice is wise. | entailment | (((~calm(lucy)&~humble(lucy)))<=>(~kind(alice)))&
(![X]:((brave(X)<~>~old(X))<=>quiet(X)))&
(((happy(john)&rich(john)))<=>(?[X]:((~humble(X)|funny(X)))))&
(((~funny(paul)|creative(paul)))<=>((~curious(alice)&~strong(alice))))&
(![X]:((patient(X)&~tall(X))<=>(rich(X)|~patient(X))))&
(![X]:((quiet(X)|wise(X))=>(~quiet(X)... | wise(alice) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6238978569355125828528351
% SZS output start Proof for 6238978569355125828528351
2. ! [X0] : ((brave(X0) <~> ~old(X0)) <=> quiet(X0)) [input p1]
3. (rich(john) & happy(john)) <=> ? [X0] : (funny(X0) | ~humble(X0)) [input p2]
5. ! [X0] : ((~tall(X0) & patient(X0)) <=> (~patient(X0) | rich(... | 0 |
Everyone who is both calm and not happy is either patient or not patient and vice versa.
If someone is creative or not tall then lucy is either not happy or funny.
Everyone who is creative or not funny is both not strong and kind.
If someone is either funny or humble then someone is both not curious and generous and vi... | Mary is not calm. | contradiction | (![X]:((calm(X)&~happy(X))<=>(patient(X)<~>~patient(X))))&
((?[X]:((creative(X)|~tall(X))))=>((~happy(lucy)<~>funny(lucy))))&
(![X]:((creative(X)|~funny(X))=>(~strong(X)&kind(X))))&
((?[X]:((funny(X)<~>humble(X))))<=>(?[X]:((~curious(X)&generous(X)))))&
(![X]:(~funny(X)<=>(rich(X)<~>strong(X))))&
(![X]:(kind(X)<=>(~ric... | ~calm(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 796132620776890377991830
% SZS output start Proof for 796132620776890377991830
1. ! [X0] : ((~happy(X0) & calm(X0)) <=> (patient(X0) <~> ~patient(X0))) [input p0]
23. ~calm(mary) [input hypothesis]
45. ! [X0] : (((~happy(X0) & calm(X0)) | ((patient(X0) | patient(X0)) & (~patient(X0) | ~pa... | 0 |
If john is not calm or not quiet then lucy is tall or generous. Everyone who is either not humble or not old is both not quiet and rich. Everyone who is either not tall or not creative is not tall or brave and vice versa. If john is either patient or kind then john is not kind. If fred is calm then susan is both not fu... | Susan is humble. | neutral | (((~calm(john)|~quiet(john)))=>((tall(lucy)|generous(lucy))))&
(![X]:((~humble(X)<~>~old(X))=>(~quiet(X)&rich(X))))&
(![X]:((~tall(X)<~>~creative(X))<=>(~tall(X)|brave(X))))&
(((patient(john)<~>kind(john)))=>(~kind(john)))&
((calm(fred))=>((~funny(susan)&kind(susan))))&
(![X]:((kind(X)&wise(X))<=>~calm(X)))&
(![X]:(pat... | humble(susan) | [] | null | 0 |
Everyone who is not humble or curious is happy.
Everyone who is both patient and not patient is not old or wise and vice versa.
Everyone who is either not happy or patient is old.
Everyone who is kind is both funny and not funny.
If fred is not patient then someone is either generous or creative and vice versa.
If alic... | Susan is not calm. | contradiction | (![X]:((~humble(X)|curious(X))=>happy(X)))&
(![X]:((patient(X)&~patient(X))<=>(~old(X)|wise(X))))&
(![X]:((~happy(X)<~>patient(X))=>old(X)))&
(![X]:(kind(X)=>(funny(X)&~funny(X))))&
((~patient(fred))<=>(?[X]:((generous(X)<~>creative(X)))))&
((~brave(alice))<=>((~creative(paul)<~>wise(paul))))&
(![X]:((~creative(X)|~ric... | ~calm(susan) | [
"p1",
"p4",
"p7",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7270485698991763041447765
% SZS output start Proof for 7270485698991763041447765
2. ! [X0] : ((~patient(X0) & patient(X0)) <=> (wise(X0) | ~old(X0))) [input p1]
5. ~patient(fred) <=> ? [X0] : (generous(X0) <~> creative(X0)) [input p4]
8. (creative(john) & rich(john)) <=> (strong(paul) | o... | 0 |
If john is both not curious and not creative then mary is either not generous or old.
Everyone who is quiet or not kind is both kind and not generous and vice versa.
Everyone who is not old or curious is creative or not kind.
If someone is either old or calm then someone is either not patient or not happy and vice vers... | Paul is not generous. | neutral | (((~curious(john)&~creative(john)))=>((~generous(mary)<~>old(mary))))&
(![X]:((quiet(X)|~kind(X))<=>(kind(X)&~generous(X))))&
(![X]:((~old(X)|curious(X))=>(creative(X)|~kind(X))))&
((?[X]:((old(X)<~>calm(X))))<=>(?[X]:((~patient(X)<~>~happy(X)))))&
((?[X]:((~wise(X)<~>~quiet(X))))<=>((~quiet(mary)&~funny(mary))))&
(![X... | ~generous(paul) | [] | null | 0 |
Everyone who is both not wise and humble is both not brave and not old.
If john is not creative then someone is curious or generous.
If paul is kind then mary is not curious or rich.
Everyone who is both rich and tall is not happy or tall.
If someone is not strong or strong then john is both not tall and not wise.
Ever... | Paul is brave. | contradiction | (![X]:((~wise(X)&humble(X))=>(~brave(X)&~old(X))))&
((~creative(john))=>(?[X]:((curious(X)|generous(X)))))&
((kind(paul))=>((~curious(mary)|rich(mary))))&
(![X]:((rich(X)&tall(X))=>(~happy(X)|tall(X))))&
((?[X]:((~strong(X)|strong(X))))=>((~tall(john)&~wise(john))))&
(![X]:(~patient(X)=>(old(X)<~>curious(X))))&
(![X]:(... | brave(paul) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7455195279770252561209715
% SZS output start Proof for 7455195279770252561209715
14. ! [X0] : (~quiet(X0) <=> (brave(X0) | ~patient(X0))) [input p13]
15. ! [X0] : (brave(X0) => quiet(X0)) [input p14]
24. brave(paul) [input hypothesis]
40. ! [X0] : (quiet(X0) | ~brave(X0)) [ennf transforma... | 0 |
If someone is not patient then someone is either funny or calm.
Everyone who is both not generous and not patient is not quiet or not wise.
If someone is not curious or not humble then someone is not quiet and vice versa.
If someone is both wise and not happy then mary is not funny or curious.
Everyone who is not patie... | Alice is curious. | entailment | ((?[X]:(~patient(X)))=>(?[X]:((funny(X)<~>calm(X)))))&
(![X]:((~generous(X)&~patient(X))=>(~quiet(X)|~wise(X))))&
((?[X]:((~curious(X)|~humble(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:((wise(X)&~happy(X))))=>((~funny(mary)|curious(mary))))&
(![X]:(~patient(X)<=>(~strong(X)&~curious(X))))&
((?[X]:((~old(X)<~>~generous(X))))=... | curious(alice) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 764214442549617193134613
% SZS output start Proof for 764214442549617193134613
5. ! [X0] : (~patient(X0) <=> (~curious(X0) & ~strong(X0))) [input p4]
7. ! [X0] : (patient(X0) <=> ~strong(X0)) [input p6]
23. ~curious(alice) [input hypothesis]
50. ! [X0] : ((~patient(X0) | (curious(X0) | st... | 0 |
Everyone who is either not calm or not wise is happy and vice versa. If fred is funny then fred is both rich and not brave. Everyone who is curious is both not funny and not generous and vice versa. If mary is both brave and humble then john is either not generous or humble and vice versa. Everyone who is either not hu... | Alice is kind. | entailment | (![X]:((~calm(X)<~>~wise(X))<=>happy(X)))&
((funny(fred))=>((rich(fred)&~brave(fred))))&
(![X]:(curious(X)<=>(~funny(X)&~generous(X))))&
(((brave(mary)&humble(mary)))<=>((~generous(john)<~>humble(john))))&
(![X]:((~humble(X)<~>old(X))<=>(funny(X)&~tall(X))))&
(![X]:((~funny(X)|~calm(X))<=>(wise(X)&humble(X))))&
(![X]:(... | kind(alice) | [
"p0",
"p2",
"p5",
"p6",
"p7",
"p12",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6873245598940340140278704
% SZS output start Proof for 6873245598940340140278704
1. ! [X0] : ((~calm(X0) <~> ~wise(X0)) <=> happy(X0)) [input p0]
3. ! [X0] : (curious(X0) <=> (~generous(X0) & ~funny(X0))) [input p2]
6. ! [X0] : ((~calm(X0) | ~funny(X0)) <=> (humble(X0) & wise(X0))) [input... | 0 |
If john is not wise or curious then someone is either humble or not old and vice versa.
If someone is creative or not curious then mary is not generous and vice versa.
If someone is both generous and not humble then someone is not happy.
Everyone who is not creative is not calm or not tall.
Everyone who is either wise ... | Susan is funny. | neutral | (((~wise(john)|curious(john)))<=>(?[X]:((humble(X)<~>~old(X)))))&
((?[X]:((creative(X)|~curious(X))))<=>(~generous(mary)))&
((?[X]:((generous(X)&~humble(X))))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)=>(~calm(X)|~tall(X))))&
(![X]:((wise(X)<~>generous(X))<=>(~wise(X)|~calm(X))))&
(![X]:((~wise(X)|creative(X))=>(~happy(... | funny(susan) | [] | null | 0 |
If paul is either quiet or rich then fred is not curious or calm. If someone is not calm or generous then fred is happy or quiet. Everyone who is old is not quiet or calm and vice versa. If someone is not rich or tall then someone is both funny and curious and vice versa. Everyone who is both not curious and not tall i... | Mary is rich. | entailment | (((quiet(paul)<~>rich(paul)))=>((~curious(fred)|calm(fred))))&
((?[X]:((~calm(X)|generous(X))))=>((happy(fred)|quiet(fred))))&
(![X]:(old(X)<=>(~quiet(X)|calm(X))))&
((?[X]:((~rich(X)|tall(X))))<=>(?[X]:((funny(X)&curious(X)))))&
(![X]:((~curious(X)&~tall(X))<=>(~strong(X)<~>funny(X))))&
((?[X]:((happy(X)|patient(X))))... | rich(mary) | [
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1073286613090825595317434
% SZS output start Proof for 1073286613090825595317434
4. ? [X0] : (tall(X0) | ~rich(X0)) <=> ? [X0] : (curious(X0) & funny(X0)) [input p3]
11. ! [X0] : (curious(X0) => (~tall(X0) & tall(X0))) [input p10]
21. ~rich(mary) [input hypothesis]
22. ? [X0] : (tall(X0) ... | 0 |
If paul is either kind or strong then lucy is both quiet and not happy. If someone is calm then someone is strong or humble and vice versa. If someone is both calm and humble then someone is either rich or not quiet. If someone is both kind and not patient then someone is both tall and not old. If someone is not genero... | Paul is not wise. | contradiction | (((kind(paul)<~>strong(paul)))=>((quiet(lucy)&~happy(lucy))))&
((?[X]:(calm(X)))<=>(?[X]:((strong(X)|humble(X)))))&
((?[X]:((calm(X)&humble(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
((?[X]:((kind(X)&~patient(X))))=>(?[X]:((tall(X)&~old(X)))))&
((?[X]:((~generous(X)|generous(X))))<=>((rich(fred)<~>~patient(fred))))&
(![X]... | ~wise(paul) | [
"p1",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 422029961380094366834300
% SZS output start Proof for 422029961380094366834300
2. ? [X0] : calm(X0) <=> ? [X0] : (humble(X0) | strong(X0)) [input p1]
8. ! [X0] : (~humble(X0) <=> (wise(X0) & ~old(X0))) [input p7]
13. ! [X0] : (~brave(X0) => (~brave(X0) & ~calm(X0))) [input p12]
14. ! [X0]... | 0 |
Everyone who is either not brave or kind is both brave and not tall.
Everyone who is either generous or happy is rich.
Everyone who is not calm or not funny is rich or strong and vice versa.
If someone is calm or kind then someone is both kind and rich.
Everyone who is both kind and not old is both calm and not curious... | Lucy is tall. | contradiction | (![X]:((~brave(X)<~>kind(X))=>(brave(X)&~tall(X))))&
(![X]:((generous(X)<~>happy(X))=>rich(X)))&
(![X]:((~calm(X)|~funny(X))<=>(rich(X)|strong(X))))&
((?[X]:((calm(X)|kind(X))))=>(?[X]:((kind(X)&rich(X)))))&
(![X]:((kind(X)&~old(X))<=>(calm(X)&~curious(X))))&
(![X]:(~wise(X)=>kind(X)))&
(((~old(fred)<~>strong(fred)))<=... | tall(lucy) | [
"p0",
"p11",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 280011093900448719842417
% SZS output start Proof for 280011093900448719842417
1. ! [X0] : ((~brave(X0) <~> kind(X0)) => (~tall(X0) & brave(X0))) [input p0]
12. ! [X0] : ((~brave(X0) <~> ~old(X0)) <=> (~old(X0) & ~kind(X0))) [input p11]
20. kind(lucy) & ~wise(lucy) [input p19]
22. old(luc... | 0 |
If paul is creative then someone is not brave or kind.
If susan is patient or not funny then someone is both tall and brave.
If someone is either funny or not creative then lucy is not wise or not strong and vice versa.
If john is both not happy and humble then paul is not rich.
If john is both tall and not old then so... | Fred is not creative. | neutral | ((creative(paul))=>(?[X]:((~brave(X)|kind(X)))))&
(((patient(susan)|~funny(susan)))=>(?[X]:((tall(X)&brave(X)))))&
((?[X]:((funny(X)<~>~creative(X))))<=>((~wise(lucy)|~strong(lucy))))&
(((~happy(john)&humble(john)))=>(~rich(paul)))&
(((tall(john)&~old(john)))<=>(?[X]:((~funny(X)&calm(X)))))&
((?[X]:((generous(X)|~happy... | ~creative(fred) | [] | null | 0 |
If lucy is not quiet or kind then mary is both not old and not rich.
Everyone who is not brave or generous is creative or not happy and vice versa.
If lucy is either curious or not wise then fred is funny and vice versa.
Everyone who is either curious or not humble is tall and vice versa.
Everyone who is not generous o... | Alice is not brave. | contradiction | (((~quiet(lucy)|kind(lucy)))=>((~old(mary)&~rich(mary))))&
(![X]:((~brave(X)|generous(X))<=>(creative(X)|~happy(X))))&
(((curious(lucy)<~>~wise(lucy)))<=>(funny(fred)))&
(![X]:((curious(X)<~>~humble(X))<=>tall(X)))&
(![X]:((~generous(X)|old(X))<=>old(X)))&
((?[X]:((~creative(X)<~>rich(X))))<=>(~wise(fred)))&
(![X]:((~f... | ~brave(alice) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4380199985299857232808190
% SZS output start Proof for 4380199985299857232808190
19. happy(alice) & brave(alice) [input p18]
25. ~brave(alice) [input hypothesis]
135. brave(alice) [cnf transformation 19]
145. ~brave(alice) [cnf transformation 25]
251. 22 <=> brave(alice) [avatar definitio... | 0 |
Everyone who is tall or not tall is either not calm or not generous. Everyone who is either humble or old is rich or kind and vice versa. Everyone who is rich or not wise is generous. Everyone who is not strong is not tall or patient. Everyone who is both not creative and not generous is not calm and vice versa. If mar... | John is creative. | entailment | (![X]:((tall(X)|~tall(X))=>(~calm(X)<~>~generous(X))))&
(![X]:((humble(X)<~>old(X))<=>(rich(X)|kind(X))))&
(![X]:((rich(X)|~wise(X))=>generous(X)))&
(![X]:(~strong(X)=>(~tall(X)|patient(X))))&
(![X]:((~creative(X)&~generous(X))<=>~calm(X)))&
(((kind(mary)&happy(mary)))<=>((~kind(susan)<~>quiet(susan))))&
(![X]:((~tall(... | creative(john) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7141175992061449882573316
% SZS output start Proof for 7141175992061449882573316
1. ! [X0] : ((~tall(X0) | tall(X0)) => (~calm(X0) <~> ~generous(X0))) [input p0]
5. ! [X0] : ((~generous(X0) & ~creative(X0)) <=> ~calm(X0)) [input p4]
23. ~creative(john) [input hypothesis]
27. ! [X0] : ((~c... | 0 |
Everyone who is both tall and strong is not wise or not happy and vice versa.
If susan is not curious then someone is either not kind or not wise.
Everyone who is not humble is both not humble and not creative.
If someone is either not happy or not patient then alice is both strong and not creative.
If someone is not r... | Alice is generous. | contradiction | (![X]:((tall(X)&strong(X))<=>(~wise(X)|~happy(X))))&
((~curious(susan))=>(?[X]:((~kind(X)<~>~wise(X)))))&
(![X]:(~humble(X)=>(~humble(X)&~creative(X))))&
((?[X]:((~happy(X)<~>~patient(X))))=>((strong(alice)&~creative(alice))))&
((?[X]:((~rich(X)|rich(X))))=>((~kind(paul)<~>~calm(paul))))&
(![X]:((curious(X)|tall(X))<=>... | generous(alice) | [
"p0",
"p3",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7851962436984861061740922
% SZS output start Proof for 7851962436984861061740922
1. ! [X0] : ((strong(X0) & tall(X0)) <=> (~happy(X0) | ~wise(X0))) [input p0]
4. ? [X0] : (~happy(X0) <~> ~patient(X0)) => (~creative(alice) & strong(alice)) [input p3]
8. ! [X0] : ((~patient(X0) <~> ~kind(X0... | 0 |
Everyone who is not funny is curious or rich and vice versa. If fred is rich then alice is not calm or quiet and vice versa. Everyone who is both not wise and quiet is old. If susan is funny or not humble then someone is either generous or tall and vice versa. If susan is not calm or generous then john is both not old ... | Alice is tall. | contradiction | (![X]:(~funny(X)<=>(curious(X)|rich(X))))&
((rich(fred))<=>((~calm(alice)|quiet(alice))))&
(![X]:((~wise(X)&quiet(X))=>old(X)))&
(((funny(susan)|~humble(susan)))<=>(?[X]:((generous(X)<~>tall(X)))))&
(((~calm(susan)|generous(susan)))=>((~old(john)&tall(john))))&
(![X]:((happy(X)&kind(X))<=>~funny(X)))&
(![X]:((~funny(X)... | tall(alice) | [
"p0",
"p1",
"p5",
"p7",
"p8",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9219329990639801294722525
% SZS output start Proof for 9219329990639801294722525
1. ! [X0] : (~funny(X0) <=> (rich(X0) | curious(X0))) [input p0]
2. rich(fred) <=> (quiet(alice) | ~calm(alice)) [input p1]
6. ! [X0] : ((kind(X0) & happy(X0)) <=> ~funny(X0)) [input p5]
8. ! [X0] : ((happy(X... | 0 |
Everyone who is both funny and curious is either creative or not kind.
Everyone who is either not tall or not brave is rich or quiet.
Everyone who is rich is either not funny or tall.
Everyone who is curious or old is rich or not old and vice versa.
Everyone who is brave is generous or not old and vice versa.
If paul i... | Mary is patient. | entailment | (![X]:((funny(X)&curious(X))=>(creative(X)<~>~kind(X))))&
(![X]:((~tall(X)<~>~brave(X))=>(rich(X)|quiet(X))))&
(![X]:(rich(X)=>(~funny(X)<~>tall(X))))&
(![X]:((curious(X)|old(X))<=>(rich(X)|~old(X))))&
(![X]:(brave(X)<=>(generous(X)|~old(X))))&
((~funny(paul))=>(?[X]:((wise(X)&~generous(X)))))&
((?[X]:((curious(X)<~>ta... | patient(mary) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9048807257251806781956221
% SZS output start Proof for 9048807257251806781956221
9. ! [X0] : ((curious(X0) | ~patient(X0)) => ~creative(X0)) [input p8]
10. ! [X0] : ((~creative(X0) | wise(X0)) => (~rich(X0) & patient(X0))) [input p9]
24. ~patient(mary) [input hypothesis]
36. ! [X0] : (~cr... | 0 |
Everyone who is not patient or curious is either kind or happy and vice versa. If someone is happy or not strong then lucy is both calm and not creative and vice versa. Everyone who is both creative and strong is either not rich or curious and vice versa. If someone is brave then someone is either not tall or not stron... | Lucy is not quiet. | neutral | (![X]:((~patient(X)|curious(X))<=>(kind(X)<~>happy(X))))&
((?[X]:((happy(X)|~strong(X))))<=>((calm(lucy)&~creative(lucy))))&
(![X]:((creative(X)&strong(X))<=>(~rich(X)<~>curious(X))))&
((?[X]:(brave(X)))=>(?[X]:((~tall(X)<~>~strong(X)))))&
((?[X]:(strong(X)))=>((generous(fred)<~>~wise(fred))))&
(![X]:((quiet(X)|~curiou... | ~quiet(lucy) | [] | null | 0 |
Everyone who is either funny or tall is either humble or not funny and vice versa.
Everyone who is either creative or not calm is either generous or patient and vice versa.
If lucy is not wise or old then fred is both rich and generous.
If susan is either funny or not strong then someone is both funny and not rich and ... | Alice is quiet. | entailment | (![X]:((funny(X)<~>tall(X))<=>(humble(X)<~>~funny(X))))&
(![X]:((creative(X)<~>~calm(X))<=>(generous(X)<~>patient(X))))&
(((~wise(lucy)|old(lucy)))=>((rich(fred)&generous(fred))))&
(((funny(susan)<~>~strong(susan)))<=>(?[X]:((funny(X)&~rich(X)))))&
((?[X]:(~strong(X)))=>((funny(fred)&~calm(fred))))&
(((~quiet(mary)&old... | quiet(alice) | [
"p13",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7510391565039698140759673
% SZS output start Proof for 7510391565039698140759673
14. ! [X0] : ((~quiet(X0) <~> ~patient(X0)) <=> (happy(X0) & curious(X0))) [input p13]
20. ~happy(alice) & ~funny(alice) [input p19]
23. strong(alice) & patient(alice) [input p22]
25. ~quiet(alice) [input hyp... | 0 |
If someone is both kind and calm then someone is not creative.
If someone is wise or strong then someone is generous.
Everyone who is creative or generous is both old and not old and vice versa.
If someone is not calm then fred is not brave.
If someone is not tall or not calm then someone is both calm and not humble.
E... | Fred is kind. | contradiction | ((?[X]:((kind(X)&calm(X))))=>(?[X]:(~creative(X))))&
((?[X]:((wise(X)|strong(X))))=>(?[X]:(generous(X))))&
(![X]:((creative(X)|generous(X))<=>(old(X)&~old(X))))&
((?[X]:(~calm(X)))=>(~brave(fred)))&
((?[X]:((~tall(X)|~calm(X))))=>(?[X]:((calm(X)&~humble(X)))))&
(![X]:((~generous(X)|~strong(X))=>(wise(X)<~>funny(X))))&
... | kind(fred) | [
"p1",
"p2",
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1262815651765793640553549
% SZS output start Proof for 1262815651765793640553549
2. ? [X0] : (strong(X0) | wise(X0)) => ? [X0] : generous(X0) [input p1]
3. ! [X0] : ((generous(X0) | creative(X0)) <=> (~old(X0) & old(X0))) [input p2]
6. ! [X0] : ((~strong(X0) | ~generous(X0)) => (wise(X0) ... | 0 |
If someone is generous or tall then susan is not humble or old and vice versa. If someone is not happy then lucy is both tall and creative and vice versa. Everyone who is either not old or not creative is funny and vice versa. If fred is strong then mary is not wise or kind and vice versa. Everyone who is both not stro... | Lucy is kind. | entailment | ((?[X]:((generous(X)|tall(X))))<=>((~humble(susan)|old(susan))))&
((?[X]:(~happy(X)))<=>((tall(lucy)&creative(lucy))))&
(![X]:((~old(X)<~>~creative(X))<=>funny(X)))&
((strong(fred))<=>((~wise(mary)|kind(mary))))&
(![X]:((~strong(X)&old(X))=>funny(X)))&
(![X]:((tall(X)|~humble(X))=>(~curious(X)<~>~old(X))))&
(![X]:((~fu... | kind(lucy) | [
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1719846559078339036880288
% SZS output start Proof for 1719846559078339036880288
16. ! [X0] : ((~kind(X0) <~> ~tall(X0)) <=> ~generous(X0)) [input p15]
21. generous(lucy) <~> ~tall(lucy) [input p20]
24. ~kind(lucy) [input hypothesis]
66. ! [X0] : ((((tall(X0) | kind(X0)) & (~tall(X0) | ~k... | 0 |
If susan is strong or generous then mary is not brave.
Everyone who is happy is both brave and calm.
If someone is old or not calm then someone is both not funny and not brave.
If someone is tall then someone is not patient and vice versa.
Everyone who is either creative or funny is both funny and tall.
Everyone who is... | Mary is not brave. | contradiction | (((strong(susan)|generous(susan)))=>(~brave(mary)))&
(![X]:(happy(X)=>(brave(X)&calm(X))))&
((?[X]:((old(X)|~calm(X))))=>(?[X]:((~funny(X)&~brave(X)))))&
((?[X]:(tall(X)))<=>(?[X]:(~patient(X))))&
(![X]:((creative(X)<~>funny(X))=>(funny(X)&tall(X))))&
(![X]:((happy(X)<~>old(X))<=>humble(X)))&
(![X]:((~brave(X)|rich(X))... | ~brave(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4562645886183618116527321
% SZS output start Proof for 4562645886183618116527321
7. ! [X0] : ((rich(X0) | ~brave(X0)) => (~patient(X0) & brave(X0))) [input p6]
24. ~brave(mary) [input hypothesis]
32. ! [X0] : ((~patient(X0) & brave(X0)) | (~rich(X0) & brave(X0))) [ennf transformation 7]
8... | 0 |
Everyone who is either generous or not calm is both funny and not patient and vice versa.
Everyone who is rich or not patient is both not patient and humble and vice versa.
If someone is either not wise or not happy then alice is both not calm and not kind.
Everyone who is either not happy or not patient is both rich a... | John is not patient. | neutral | (![X]:((generous(X)<~>~calm(X))<=>(funny(X)&~patient(X))))&
(![X]:((rich(X)|~patient(X))<=>(~patient(X)&humble(X))))&
((?[X]:((~wise(X)<~>~happy(X))))=>((~calm(alice)&~kind(alice))))&
(![X]:((~happy(X)<~>~patient(X))=>(rich(X)&~wise(X))))&
(![X]:((old(X)<~>~tall(X))=>(~generous(X)|rich(X))))&
((kind(fred))<=>((tall(sus... | ~patient(john) | [] | null | 0 |
Everyone who is not generous is both not generous and not quiet.
Everyone who is either old or not kind is both calm and not patient and vice versa.
If someone is both rich and not generous then lucy is both not calm and brave.
Everyone who is both wise and strong is not generous and vice versa.
If mary is either not h... | Alice is not creative. | neutral | (![X]:(~generous(X)=>(~generous(X)&~quiet(X))))&
(![X]:((old(X)<~>~kind(X))<=>(calm(X)&~patient(X))))&
((?[X]:((rich(X)&~generous(X))))=>((~calm(lucy)&brave(lucy))))&
(![X]:((wise(X)&strong(X))<=>~generous(X)))&
(((~humble(mary)<~>~quiet(mary)))=>((kind(john)<~>funny(john))))&
(((creative(alice)<~>happy(alice)))<=>(?[X... | ~creative(alice) | [] | null | 0 |
If fred is generous then someone is either brave or generous.
If someone is either not tall or old then susan is both not patient and not calm and vice versa.
Everyone who is rich or happy is rich.
If fred is both not strong and wise then someone is not rich or not creative and vice versa.
Everyone who is not wise is c... | Susan is not calm. | entailment | ((generous(fred))=>(?[X]:((brave(X)<~>generous(X)))))&
((?[X]:((~tall(X)<~>old(X))))<=>((~patient(susan)&~calm(susan))))&
(![X]:((rich(X)|happy(X))=>rich(X)))&
(((~strong(fred)&wise(fred)))<=>(?[X]:((~rich(X)|~creative(X)))))&
(![X]:(~wise(X)<=>calm(X)))&
(((~calm(john)|~wise(john)))<=>((~brave(paul)&happy(paul))))&
(!... | ~calm(susan) | [
"p1",
"p6",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4444707557854983086577552
% SZS output start Proof for 4444707557854983086577552
2. ? [X0] : (~tall(X0) <~> old(X0)) <=> (~calm(susan) & ~patient(susan)) [input p1]
7. ! [X0] : ((strong(X0) & ~generous(X0)) <=> (~brave(X0) | ~rich(X0))) [input p6]
12. ! [X0] : ((~strong(X0) <~> ~brave(X0)... | 0 |
Everyone who is not patient is both wise and not tall and vice versa.
Everyone who is brave is wise or calm.
If paul is not creative or calm then someone is not strong and vice versa.
If someone is both tall and not creative then someone is both not curious and wise and vice versa.
If someone is both not kind and not w... | Paul is not happy. | neutral | (![X]:(~patient(X)<=>(wise(X)&~tall(X))))&
(![X]:(brave(X)=>(wise(X)|calm(X))))&
(((~creative(paul)|calm(paul)))<=>(?[X]:(~strong(X))))&
((?[X]:((tall(X)&~creative(X))))<=>(?[X]:((~curious(X)&wise(X)))))&
((?[X]:((~kind(X)&~wise(X))))<=>((~tall(mary)<~>kind(mary))))&
(![X]:((~patient(X)&kind(X))<=>curious(X)))&
(((~hum... | ~happy(paul) | [] | null | 0 |
If someone is old or not generous then fred is strong or not tall and vice versa.
Everyone who is curious or not creative is wise or rich.
Everyone who is not strong or brave is not generous or rich and vice versa.
Everyone who is not curious is both not curious and quiet.
Everyone who is both creative and tall is both... | Paul is not curious. | entailment | ((?[X]:((old(X)|~generous(X))))<=>((strong(fred)|~tall(fred))))&
(![X]:((curious(X)|~creative(X))=>(wise(X)|rich(X))))&
(![X]:((~strong(X)|brave(X))<=>(~generous(X)|rich(X))))&
(![X]:(~curious(X)=>(~curious(X)&quiet(X))))&
(![X]:((creative(X)&tall(X))<=>(~generous(X)&generous(X))))&
((?[X]:(~strong(X)))=>(?[X]:((creati... | ~curious(paul) | [
"p2",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4061760565139807816791764
% SZS output start Proof for 4061760565139807816791764
3. ! [X0] : ((brave(X0) | ~strong(X0)) <=> (rich(X0) | ~generous(X0))) [input p2]
15. ! [X0] : ((curious(X0) | ~wise(X0)) => (generous(X0) & ~rich(X0))) [input p14]
19. ~curious(paul) <~> ~strong(paul) [input... | 0 |
If someone is not strong then someone is not strong or not tall and vice versa. If susan is either not wise or not rich then mary is curious and vice versa. Everyone who is not generous or funny is both calm and not calm and vice versa. Everyone who is curious or calm is not generous. If susan is both not quiet and str... | Paul is wise. | neutral | ((?[X]:(~strong(X)))<=>(?[X]:((~strong(X)|~tall(X)))))&
(((~wise(susan)<~>~rich(susan)))<=>(curious(mary)))&
(![X]:((~generous(X)|funny(X))<=>(calm(X)&~calm(X))))&
(![X]:((curious(X)|calm(X))=>~generous(X)))&
(((~quiet(susan)&strong(susan)))<=>(?[X]:((humble(X)|~humble(X)))))&
(((rich(mary)&creative(mary)))<=>(?[X]:((c... | wise(paul) | [] | null | 0 |
Everyone who is not patient is either not humble or funny and vice versa.
Everyone who is wise is both not tall and not brave and vice versa.
Everyone who is not brave is either brave or not calm and vice versa.
Everyone who is not generous is generous.
If someone is quiet then someone is curious and vice versa.
Everyo... | Fred is generous. | entailment | (![X]:(~patient(X)<=>(~humble(X)<~>funny(X))))&
(![X]:(wise(X)<=>(~tall(X)&~brave(X))))&
(![X]:(~brave(X)<=>(brave(X)<~>~calm(X))))&
(![X]:(~generous(X)=>generous(X)))&
((?[X]:(quiet(X)))<=>(?[X]:(curious(X))))&
(![X]:((~humble(X)&strong(X))<=>(~funny(X)&funny(X))))&
(((~quiet(mary)<~>~generous(mary)))<=>((~funny(susan... | generous(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 828743016805611894450887
% SZS output start Proof for 828743016805611894450887
4. ! [X0] : (~generous(X0) => generous(X0)) [input p3]
21. ~generous(fred) [input hypothesis]
24. ! [X0] : (generous(X0) | generous(X0)) [ennf transformation 4]
64. generous(X0) | generous(X0) [cnf transformati... | 0 |
Everyone who is not generous is not humble.
If someone is not strong or not tall then someone is both not old and funny and vice versa.
Everyone who is both generous and not wise is either not strong or not happy and vice versa.
Everyone who is either tall or patient is both humble and wise.
If someone is both happy an... | Mary is funny. | neutral | (![X]:(~generous(X)=>~humble(X)))&
((?[X]:((~strong(X)|~tall(X))))<=>(?[X]:((~old(X)&funny(X)))))&
(![X]:((generous(X)&~wise(X))<=>(~strong(X)<~>~happy(X))))&
(![X]:((tall(X)<~>patient(X))=>(humble(X)&wise(X))))&
((?[X]:((happy(X)&tall(X))))<=>((creative(alice)<~>~funny(alice))))&
(![X]:((~rich(X)<~>patient(X))=>(rich(... | funny(mary) | [] | null | 0 |
If john is not tall or not generous then someone is creative.
If someone is both not old and rich then alice is not old or humble and vice versa.
Everyone who is both brave and not creative is not brave or not rich and vice versa.
If someone is both kind and happy then john is both curious and generous and vice versa.
... | Paul is not creative. | contradiction | (((~tall(john)|~generous(john)))=>(?[X]:(creative(X))))&
((?[X]:((~old(X)&rich(X))))<=>((~old(alice)|humble(alice))))&
(![X]:((brave(X)&~creative(X))<=>(~brave(X)|~rich(X))))&
((?[X]:((kind(X)&happy(X))))<=>((curious(john)&generous(john))))&
(![X]:((~calm(X)|curious(X))=>(~humble(X)|~curious(X))))&
((?[X]:((old(X)<~>br... | ~creative(paul) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4173517433197772368563051
% SZS output start Proof for 4173517433197772368563051
3. ! [X0] : ((~creative(X0) & brave(X0)) <=> (~rich(X0) | ~brave(X0))) [input p2]
8. ! [X0] : ((~brave(X0) & ~patient(X0)) <=> (~rich(X0) | ~humble(X0))) [input p7]
22. ~creative(paul) [input hypothesis]
39. ... | 0 |
If someone is not wise then paul is old or calm.
If someone is both not wise and creative then someone is both not curious and not creative.
Everyone who is both wise and not quiet is creative and vice versa.
If someone is rich then someone is both not brave and creative and vice versa.
If alice is not tall then mary i... | Paul is rich. | contradiction | ((?[X]:(~wise(X)))=>((old(paul)|calm(paul))))&
((?[X]:((~wise(X)&creative(X))))=>(?[X]:((~curious(X)&~creative(X)))))&
(![X]:((wise(X)&~quiet(X))<=>creative(X)))&
((?[X]:(rich(X)))<=>(?[X]:((~brave(X)&creative(X)))))&
((~tall(alice))<=>((wise(mary)<~>curious(mary))))&
(![X]:((~patient(X)&calm(X))<=>strong(X)))&
(![X]:(... | rich(paul) | [
"p2",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1844984977668177079165489
% SZS output start Proof for 1844984977668177079165489
3. ! [X0] : ((~quiet(X0) & wise(X0)) <=> creative(X0)) [input p2]
4. ? [X0] : rich(X0) <=> ? [X0] : (creative(X0) & ~brave(X0)) [input p3]
11. ! [X0] : ((curious(X0) & ~quiet(X0)) <=> ~curious(X0)) [input p10... | 0 |
If someone is not brave or not rich then susan is generous and vice versa.
Everyone who is generous is funny.
Everyone who is wise is both not kind and brave.
If susan is either patient or not rich then mary is patient or not wise and vice versa.
Everyone who is not funny is both strong and wise.
Everyone who is not ri... | Mary is not happy. | neutral | ((?[X]:((~brave(X)|~rich(X))))<=>(generous(susan)))&
(![X]:(generous(X)=>funny(X)))&
(![X]:(wise(X)=>(~kind(X)&brave(X))))&
(((patient(susan)<~>~rich(susan)))<=>((patient(mary)|~wise(mary))))&
(![X]:(~funny(X)=>(strong(X)&wise(X))))&
(![X]:(~rich(X)=>(~curious(X)<~>quiet(X))))&
((?[X]:(calm(X)))=>((~calm(alice)&~quiet(... | ~happy(mary) | [] | null | 0 |
Everyone who is not wise or calm is tall or not brave. If someone is both not tall and rich then john is either not kind or not creative. Everyone who is not strong or quiet is not brave and vice versa. Everyone who is not quiet or not humble is kind or creative. Everyone who is both not humble and strong is curious an... | Mary is tall. | neutral | (![X]:((~wise(X)|calm(X))=>(tall(X)|~brave(X))))&
((?[X]:((~tall(X)&rich(X))))=>((~kind(john)<~>~creative(john))))&
(![X]:((~strong(X)|quiet(X))<=>~brave(X)))&
(![X]:((~quiet(X)|~humble(X))=>(kind(X)|creative(X))))&
(![X]:((~humble(X)&strong(X))<=>curious(X)))&
(![X]:(brave(X)<=>(creative(X)&~strong(X))))&
(![X]:((happ... | tall(mary) | [] | null | 0 |
Everyone who is not tall or not quiet is tall and vice versa.
If someone is kind then someone is not strong or calm and vice versa.
If mary is curious or wise then mary is creative or not kind and vice versa.
Everyone who is both not humble and not kind is either humble or creative and vice versa.
Everyone who is old i... | Paul is not kind. | entailment | (![X]:((~tall(X)|~quiet(X))<=>tall(X)))&
((?[X]:(kind(X)))<=>(?[X]:((~strong(X)|calm(X)))))&
(((curious(mary)|wise(mary)))<=>((creative(mary)|~kind(mary))))&
(![X]:((~humble(X)&~kind(X))<=>(humble(X)<~>creative(X))))&
(![X]:(old(X)=>(patient(X)|~patient(X))))&
((~curious(susan))=>(tall(mary)))&
((?[X]:((strong(X)<~>fun... | ~kind(paul) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4427873770599589106662279
% SZS output start Proof for 4427873770599589106662279
1. ! [X0] : ((~quiet(X0) | ~tall(X0)) <=> tall(X0)) [input p0]
11. ! [X0] : (kind(X0) => (kind(X0) <~> tall(X0))) [input p10]
24. kind(paul) [input hypothesis]
32. ! [X0] : ((kind(X0) <~> tall(X0)) | ~kind(X0... | 0 |
If someone is both generous and creative then john is both old and not curious. Everyone who is both quiet and happy is either not quiet or not funny. If mary is either not tall or kind then lucy is not quiet and vice versa. Everyone who is not creative is both not brave and not strong and vice versa. If susan is not h... | Mary is not wise. | neutral | ((?[X]:((generous(X)&creative(X))))=>((old(john)&~curious(john))))&
(![X]:((quiet(X)&happy(X))=>(~quiet(X)<~>~funny(X))))&
(((~tall(mary)<~>kind(mary)))<=>(~quiet(lucy)))&
(![X]:(~creative(X)<=>(~brave(X)&~strong(X))))&
((~humble(susan))<=>(~creative(alice)))&
(![X]:((funny(X)&~humble(X))=>(old(X)|~humble(X))))&
(![X]:... | ~wise(mary) | [] | null | 0 |
Everyone who is curious is strong and vice versa.
Everyone who is not strong is not brave or old and vice versa.
Everyone who is both happy and patient is either not kind or brave.
If someone is not tall then someone is humble and vice versa.
If mary is generous or not patient then someone is humble or rich.
Everyone w... | John is rich. | neutral | (![X]:(curious(X)<=>strong(X)))&
(![X]:(~strong(X)<=>(~brave(X)|old(X))))&
(![X]:((happy(X)&patient(X))=>(~kind(X)<~>brave(X))))&
((?[X]:(~tall(X)))<=>(?[X]:(humble(X))))&
(((generous(mary)|~patient(mary)))=>(?[X]:((humble(X)|rich(X)))))&
(![X]:((brave(X)&tall(X))=>(~calm(X)|curious(X))))&
(![X]:((~rich(X)<~>brave(X))<... | rich(john) | [] | null | 0 |
Everyone who is curious is old and vice versa.
If someone is not patient or happy then susan is either not funny or curious and vice versa.
Everyone who is both not calm and generous is not humble or funny and vice versa.
Everyone who is both not old and not curious is both not tall and not calm.
If lucy is both not wi... | Mary is not patient. | neutral | (![X]:(curious(X)<=>old(X)))&
((?[X]:((~patient(X)|happy(X))))<=>((~funny(susan)<~>curious(susan))))&
(![X]:((~calm(X)&generous(X))<=>(~humble(X)|funny(X))))&
(![X]:((~old(X)&~curious(X))=>(~tall(X)&~calm(X))))&
(((~wise(lucy)&~funny(lucy)))<=>((~brave(mary)|~tall(mary))))&
((?[X]:(~patient(X)))=>(?[X]:((kind(X)<~>wise... | ~patient(mary) | [] | null | 0 |
Everyone who is both not old and tall is both calm and patient and vice versa.
If mary is not humble then someone is not tall or happy.
If alice is not happy or funny then mary is either quiet or not happy and vice versa.
Everyone who is either generous or brave is humble and vice versa.
Everyone who is both old and hu... | Paul is not patient. | contradiction | (![X]:((~old(X)&tall(X))<=>(calm(X)&patient(X))))&
((~humble(mary))=>(?[X]:((~tall(X)|happy(X)))))&
(((~happy(alice)|funny(alice)))<=>((quiet(mary)<~>~happy(mary))))&
(![X]:((generous(X)<~>brave(X))<=>humble(X)))&
(![X]:((old(X)&humble(X))<=>(generous(X)|~kind(X))))&
(![X]:((creative(X)<~>generous(X))<=>(humble(X)<~>fu... | ~patient(paul) | [
"p3",
"p4",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6629161847143290668842886
% SZS output start Proof for 6629161847143290668842886
4. ! [X0] : ((generous(X0) <~> brave(X0)) <=> humble(X0)) [input p3]
5. ! [X0] : ((humble(X0) & old(X0)) <=> (~kind(X0) | generous(X0))) [input p4]
14. ! [X0] : ((patient(X0) <~> brave(X0)) => (~humble(X0) & ... | 0 |
If fred is not brave then fred is wise or tall and vice versa. Everyone who is funny is humble. Everyone who is both rich and happy is either not strong or not creative. Everyone who is not rich is either not strong or not patient and vice versa. Everyone who is both not curious and quiet is not generous and vice versa... | Fred is not wise. | contradiction | ((~brave(fred))<=>((wise(fred)|tall(fred))))&
(![X]:(funny(X)=>humble(X)))&
(![X]:((rich(X)&happy(X))=>(~strong(X)<~>~creative(X))))&
(![X]:(~rich(X)<=>(~strong(X)<~>~patient(X))))&
(![X]:((~curious(X)&quiet(X))<=>~generous(X)))&
((?[X]:((~funny(X)&~humble(X))))=>((~strong(mary)|~brave(mary))))&
(![X]:((generous(X)|kin... | ~wise(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 9132093865663083271440897
% SZS output start Proof for 9132093865663083271440897
9. ! [X0] : ((tall(X0) <~> ~wise(X0)) <=> tall(X0)) [input p8]
24. ~wise(fred) [input hypothesis]
48. ! [X0] : ((((wise(X0) | ~tall(X0)) & (~wise(X0) | tall(X0))) | ~tall(X0)) & (tall(X0) | ((tall(X0) | wise(... | 0 |
If someone is either calm or not calm then susan is not generous or strong.
Everyone who is creative or kind is either old or not rich and vice versa.
Everyone who is both strong and not old is both not quiet and creative.
Everyone who is both creative and not tall is either not quiet or funny.
Everyone who is both fun... | Lucy is calm. | neutral | ((?[X]:((calm(X)<~>~calm(X))))=>((~generous(susan)|strong(susan))))&
(![X]:((creative(X)|kind(X))<=>(old(X)<~>~rich(X))))&
(![X]:((strong(X)&~old(X))=>(~quiet(X)&creative(X))))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)<~>funny(X))))&
(![X]:((funny(X)&strong(X))<=>old(X)))&
(![X]:((strong(X)&~creative(X))<=>(~kind(X)<~... | calm(lucy) | [] | null | 0 |
If fred is both wise and curious then susan is both not wise and curious.
Everyone who is not tall or rich is both not old and humble and vice versa.
If susan is both not wise and not funny then lucy is not wise and vice versa.
If susan is both generous and patient then someone is not brave or not tall.
If fred is humb... | Fred is not curious. | neutral | (((wise(fred)&curious(fred)))=>((~wise(susan)&curious(susan))))&
(![X]:((~tall(X)|rich(X))<=>(~old(X)&humble(X))))&
(((~wise(susan)&~funny(susan)))<=>(~wise(lucy)))&
(((generous(susan)&patient(susan)))=>(?[X]:((~brave(X)|~tall(X)))))&
(((humble(fred)|~old(fred)))<=>((calm(mary)|~tall(mary))))&
((?[X]:(~generous(X)))<=>... | ~curious(fred) | [] | null | 0 |
If lucy is both not funny and kind then paul is quiet and vice versa.
Everyone who is calm is not tall.
Everyone who is both not wise and tall is not strong or funny and vice versa.
Everyone who is not rich or not humble is either not generous or wise and vice versa.
Everyone who is both not patient and creative is cal... | Mary is not patient. | entailment | (((~funny(lucy)&kind(lucy)))<=>(quiet(paul)))&
(![X]:(calm(X)=>~tall(X)))&
(![X]:((~wise(X)&tall(X))<=>(~strong(X)|funny(X))))&
(![X]:((~rich(X)|~humble(X))<=>(~generous(X)<~>wise(X))))&
(![X]:((~patient(X)&creative(X))=>calm(X)))&
(((~happy(mary)&patient(mary)))<=>(?[X]:((~kind(X)&brave(X)))))&
(![X]:((generous(X)&str... | ~patient(mary) | [
"p15",
"p17",
"p18",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7241688695868733164791752
% SZS output start Proof for 7241688695868733164791752
16. ! [X0] : (~happy(X0) <=> (~humble(X0) & patient(X0))) [input p15]
18. quiet(mary) & ~kind(mary) [input p17]
19. ~happy(mary) <~> ~humble(mary) [input p18]
21. ~rich(mary) | kind(mary) [input p20]
23. rich... | 0 |
If someone is either not patient or not old then someone is either not quiet or tall. If mary is either not kind or not creative then lucy is happy or funny. Everyone who is not old or not creative is not curious and vice versa. Everyone who is not rich is rich or curious. Everyone who is both not old and tall is both ... | Mary is not wise. | entailment | ((?[X]:((~patient(X)<~>~old(X))))=>(?[X]:((~quiet(X)<~>tall(X)))))&
(((~kind(mary)<~>~creative(mary)))=>((happy(lucy)|funny(lucy))))&
(![X]:((~old(X)|~creative(X))<=>~curious(X)))&
(![X]:(~rich(X)=>(rich(X)|curious(X))))&
(![X]:((~old(X)&tall(X))=>(~calm(X)&rich(X))))&
(![X]:(~happy(X)=>(calm(X)&tall(X))))&
((?[X]:(~ta... | ~wise(mary) | [
"p5",
"p7",
"p8",
"p9",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 516278063297187640159300
% SZS output start Proof for 516278063297187640159300
6. ! [X0] : (~happy(X0) => (tall(X0) & calm(X0))) [input p5]
8. ? [X0] : (~strong(X0) | ~patient(X0)) => ~calm(mary) [input p7]
9. ! [X0] : (~funny(X0) <=> (~wise(X0) <~> brave(X0))) [input p8]
10. ! [X0] : ((f... | 0 |
Everyone who is either not creative or not old is both not calm and not strong.
If someone is both not humble and creative then someone is both not happy and wise and vice versa.
Everyone who is both not strong and humble is both old and not humble and vice versa.
Everyone who is not kind or not creative is not creativ... | Susan is not patient. | entailment | (![X]:((~creative(X)<~>~old(X))=>(~calm(X)&~strong(X))))&
((?[X]:((~humble(X)&creative(X))))<=>(?[X]:((~happy(X)&wise(X)))))&
(![X]:((~strong(X)&humble(X))<=>(old(X)&~humble(X))))&
(![X]:((~kind(X)|~creative(X))=>(~creative(X)|wise(X))))&
(![X]:((~patient(X)&~wise(X))<=>~creative(X)))&
(![X]:((~tall(X)&~happy(X))=>stro... | ~patient(susan) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1877159887839705303447293
% SZS output start Proof for 1877159887839705303447293
5. ! [X0] : ((~wise(X0) & ~patient(X0)) <=> ~creative(X0)) [input p4]
10. ! [X0] : ((~patient(X0) <~> creative(X0)) => (~creative(X0) & ~wise(X0))) [input p9]
23. patient(susan) [input hypothesis]
34. ! [X0] ... | 0 |
If someone is either rich or not generous then lucy is either not calm or kind and vice versa.
Everyone who is not curious or brave is either not old or not happy and vice versa.
If someone is either brave or creative then someone is not brave and vice versa.
Everyone who is curious is funny.
If lucy is funny then fred... | Lucy is kind. | neutral | ((?[X]:((rich(X)<~>~generous(X))))<=>((~calm(lucy)<~>kind(lucy))))&
(![X]:((~curious(X)|brave(X))<=>(~old(X)<~>~happy(X))))&
((?[X]:((brave(X)<~>creative(X))))<=>(?[X]:(~brave(X))))&
(![X]:(curious(X)=>funny(X)))&
((funny(lucy))<=>(~quiet(fred)))&
(![X]:(calm(X)<=>(funny(X)<~>~rich(X))))&
((~kind(john))=>(?[X]:((quiet(... | kind(lucy) | [] | null | 0 |
If john is either not creative or kind then alice is either generous or patient and vice versa.
Everyone who is either kind or not funny is either wise or not strong and vice versa.
Everyone who is kind or old is either not wise or not patient.
Everyone who is not rich is not curious and vice versa.
If susan is either ... | John is not generous. | neutral | (((~creative(john)<~>kind(john)))<=>((generous(alice)<~>patient(alice))))&
(![X]:((kind(X)<~>~funny(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((kind(X)|old(X))=>(~wise(X)<~>~patient(X))))&
(![X]:(~rich(X)<=>~curious(X)))&
(((generous(susan)<~>creative(susan)))=>(?[X]:((~wise(X)<~>~quiet(X)))))&
(![X]:(~calm(X)<=>(~calm(X)|... | ~generous(john) | [] | null | 0 |
If paul is quiet then mary is either not happy or wise and vice versa.
Everyone who is tall or humble is not tall.
Everyone who is both not strong and not humble is old or rich and vice versa.
Everyone who is not wise is strong and vice versa.
Everyone who is old or calm is not brave and vice versa.
If someone is both ... | Lucy is brave. | entailment | ((quiet(paul))<=>((~happy(mary)<~>wise(mary))))&
(![X]:((tall(X)|humble(X))=>~tall(X)))&
(![X]:((~strong(X)&~humble(X))<=>(old(X)|rich(X))))&
(![X]:(~wise(X)<=>strong(X)))&
(![X]:((old(X)|calm(X))<=>~brave(X)))&
((?[X]:((rich(X)&kind(X))))=>(?[X]:((tall(X)&~happy(X)))))&
(![X]:(~tall(X)<=>(~strong(X)&~tall(X))))&
(![X]... | brave(lucy) | [
"p1",
"p3",
"p5",
"p6",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4057352699220616987333861
% SZS output start Proof for 4057352699220616987333861
2. ! [X0] : ((humble(X0) | tall(X0)) => ~tall(X0)) [input p1]
4. ! [X0] : (~wise(X0) <=> strong(X0)) [input p3]
6. ? [X0] : (kind(X0) & rich(X0)) => ? [X0] : (~happy(X0) & tall(X0)) [input p5]
7. ! [X0] : (~t... | 0 |
If mary is either not patient or tall then alice is not kind or not quiet. Everyone who is both wise and not funny is either rich or not humble and vice versa. If someone is either rich or not generous then someone is either not funny or not rich and vice versa. If mary is not old then fred is not generous or brave and... | Mary is old. | neutral | (((~patient(mary)<~>tall(mary)))=>((~kind(alice)|~quiet(alice))))&
(![X]:((wise(X)&~funny(X))<=>(rich(X)<~>~humble(X))))&
((?[X]:((rich(X)<~>~generous(X))))<=>(?[X]:((~funny(X)<~>~rich(X)))))&
((~old(mary))<=>((~generous(fred)|brave(fred))))&
(![X]:((strong(X)<~>~patient(X))=>(kind(X)&~kind(X))))&
((?[X]:(generous(X)))... | old(mary) | [] | null | 0 |
If susan is both brave and not rich then alice is either not humble or creative.
Everyone who is either not brave or not happy is not kind or generous and vice versa.
If someone is both not patient and not happy then someone is either quiet or rich.
Everyone who is not happy is either funny or generous and vice versa.
... | Susan is brave. | contradiction | (((brave(susan)&~rich(susan)))=>((~humble(alice)<~>creative(alice))))&
(![X]:((~brave(X)<~>~happy(X))<=>(~kind(X)|generous(X))))&
((?[X]:((~patient(X)&~happy(X))))=>(?[X]:((quiet(X)<~>rich(X)))))&
(![X]:(~happy(X)<=>(funny(X)<~>generous(X))))&
(![X]:((~quiet(X)|brave(X))<=>(~kind(X)|~old(X))))&
((?[X]:(brave(X)))=>((~c... | brave(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8071659625631208608355688
% SZS output start Proof for 8071659625631208608355688
21. ~brave(susan) & ~strong(susan) [input p20]
25. brave(susan) [input hypothesis]
129. ~brave(susan) [cnf transformation 21]
135. brave(susan) [cnf transformation 25]
139. 1 <=> brave(susan) [avatar definiti... | 0 |
Everyone who is kind is not rich or patient and vice versa.
Everyone who is not happy is either not creative or kind and vice versa.
Everyone who is both not generous and humble is either not creative or patient.
Everyone who is either not kind or not patient is rich or not tall and vice versa.
Everyone who is not curi... | Alice is not curious. | contradiction | (![X]:(kind(X)<=>(~rich(X)|patient(X))))&
(![X]:(~happy(X)<=>(~creative(X)<~>kind(X))))&
(![X]:((~generous(X)&humble(X))=>(~creative(X)<~>patient(X))))&
(![X]:((~kind(X)<~>~patient(X))<=>(rich(X)|~tall(X))))&
(![X]:(~curious(X)=>(creative(X)|kind(X))))&
(![X]:((~humble(X)|calm(X))=>(~brave(X)<~>strong(X))))&
(((~calm(a... | ~curious(alice) | [
"p0",
"p3",
"p9",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 860399161601879962617911
% SZS output start Proof for 860399161601879962617911
1. ! [X0] : (kind(X0) <=> (patient(X0) | ~rich(X0))) [input p0]
4. ! [X0] : ((~kind(X0) <~> ~patient(X0)) <=> (~tall(X0) | rich(X0))) [input p3]
10. ! [X0] : ((patient(X0) <~> curious(X0)) <=> (~curious(X0) | w... | 0 |
If someone is not humble or not quiet then john is humble or not curious and vice versa.
Everyone who is either old or not quiet is either not quiet or not creative.
Everyone who is not quiet or not creative is both strong and not wise and vice versa.
Everyone who is both not brave and kind is either not funny or not c... | Susan is not generous. | entailment | ((?[X]:((~humble(X)|~quiet(X))))<=>((humble(john)|~curious(john))))&
(![X]:((old(X)<~>~quiet(X))=>(~quiet(X)<~>~creative(X))))&
(![X]:((~quiet(X)|~creative(X))<=>(strong(X)&~wise(X))))&
(![X]:((~brave(X)&kind(X))=>(~funny(X)<~>~creative(X))))&
((strong(mary))=>(?[X]:((~tall(X)&~curious(X)))))&
(![X]:((~patient(X)<~>cal... | ~generous(susan) | [
"p1",
"p7",
"p10",
"p12",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3999221608657249613163809
% SZS output start Proof for 3999221608657249613163809
2. ! [X0] : ((old(X0) <~> ~quiet(X0)) => (~quiet(X0) <~> ~creative(X0))) [input p1]
8. ! [X0] : ((~wise(X0) | ~funny(X0)) => (kind(X0) & old(X0))) [input p7]
11. ? [X0] : (brave(X0) <~> calm(X0)) => (~wise(su... | 0 |
If someone is curious then fred is not happy and vice versa.
Everyone who is tall is either humble or not rich and vice versa.
If someone is not creative then someone is both not funny and curious.
If someone is not rich or curious then someone is both brave and not brave.
Everyone who is not happy or not patient is ha... | Susan is curious. | contradiction | ((?[X]:(curious(X)))<=>(~happy(fred)))&
(![X]:(tall(X)<=>(humble(X)<~>~rich(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~funny(X)&curious(X)))))&
((?[X]:((~rich(X)|curious(X))))=>(?[X]:((brave(X)&~brave(X)))))&
(![X]:((~happy(X)|~patient(X))<=>happy(X)))&
((?[X]:(~brave(X)))<=>((~funny(lucy)&~tall(lucy))))&
((~happy(john))=... | curious(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 4914800245883849751653166
% SZS output start Proof for 4914800245883849751653166
4. ? [X0] : (curious(X0) | ~rich(X0)) => ? [X0] : (~brave(X0) & brave(X0)) [input p3]
24. curious(susan) [input hypothesis]
26. ? [X0] : (curious(X0) | ~rich(X0)) => ? [X1] : (~brave(X1) & brave(X1)) [rectify... | 0 |
If someone is both brave and not calm then someone is old or not curious.
If paul is both strong and happy then someone is not patient or humble.
Everyone who is either not wise or not old is not kind or strong.
Everyone who is wise or not strong is both creative and not quiet and vice versa.
If susan is both not wise ... | Alice is not generous. | neutral | ((?[X]:((brave(X)&~calm(X))))=>(?[X]:((old(X)|~curious(X)))))&
(((strong(paul)&happy(paul)))=>(?[X]:((~patient(X)|humble(X)))))&
(![X]:((~wise(X)<~>~old(X))=>(~kind(X)|strong(X))))&
(![X]:((wise(X)|~strong(X))<=>(creative(X)&~quiet(X))))&
(((~wise(susan)&wise(susan)))<=>(?[X]:((~rich(X)&~generous(X)))))&
(![X]:(strong(... | ~generous(alice) | [] | null | 0 |
Everyone who is generous is both funny and rich.
Everyone who is either humble or old is both generous and funny.
Everyone who is humble is calm and vice versa.
Everyone who is humble is generous and vice versa.
If someone is either happy or not humble then someone is either patient or not creative.
Everyone who is bot... | Alice is creative. | contradiction | (![X]:(generous(X)=>(funny(X)&rich(X))))&
(![X]:((humble(X)<~>old(X))=>(generous(X)&funny(X))))&
(![X]:(humble(X)<=>calm(X)))&
(![X]:(humble(X)<=>generous(X)))&
((?[X]:((happy(X)<~>~humble(X))))=>(?[X]:((patient(X)<~>~creative(X)))))&
(![X]:((~strong(X)&~creative(X))<=>(~brave(X)|tall(X))))&
(![X]:((calm(X)|~quiet(X))<... | creative(alice) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2272002001007632979750141
% SZS output start Proof for 2272002001007632979750141
6. ! [X0] : ((~creative(X0) & ~strong(X0)) <=> (tall(X0) | ~brave(X0))) [input p5]
9. ! [X0] : ((brave(X0) | ~happy(X0)) <=> (~brave(X0) <~> ~creative(X0))) [input p8]
24. creative(alice) [input hypothesis]
4... | 0 |
Everyone who is both not happy and old is strong.
If mary is either tall or calm then someone is either strong or happy.
Everyone who is humble is either wise or rich and vice versa.
If someone is calm or creative then alice is not generous or strong and vice versa.
If lucy is funny then alice is both humble and happy ... | Alice is calm. | neutral | (![X]:((~happy(X)&old(X))=>strong(X)))&
(((tall(mary)<~>calm(mary)))=>(?[X]:((strong(X)<~>happy(X)))))&
(![X]:(humble(X)<=>(wise(X)<~>rich(X))))&
((?[X]:((calm(X)|creative(X))))<=>((~generous(alice)|strong(alice))))&
((funny(lucy))<=>((humble(alice)&happy(alice))))&
(![X]:(~tall(X)<=>calm(X)))&
(((creative(alice)&~gene... | calm(alice) | [] | null | 0 |
Everyone who is either old or not brave is brave and vice versa. Everyone who is both not strong and not old is both not kind and not funny. Everyone who is kind or wise is either not brave or humble. If someone is not patient or not brave then mary is either not tall or not curious and vice versa. If someone is not br... | Susan is creative. | contradiction | (![X]:((old(X)<~>~brave(X))<=>brave(X)))&
(![X]:((~strong(X)&~old(X))=>(~kind(X)&~funny(X))))&
(![X]:((kind(X)|wise(X))=>(~brave(X)<~>humble(X))))&
((?[X]:((~patient(X)|~brave(X))))<=>((~tall(mary)<~>~curious(mary))))&
((?[X]:(~brave(X)))=>(?[X]:((funny(X)|~happy(X)))))&
(((~creative(mary)|~tall(mary)))=>(~creative(sus... | creative(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4616240908542535903779262
% SZS output start Proof for 4616240908542535903779262
9. ! [X0] : (patient(X0) <=> (~creative(X0) <~> ~patient(X0))) [input p8]
25. creative(susan) [input hypothesis]
52. ! [X0] : ((patient(X0) | ((~creative(X0) | patient(X0)) & (~patient(X0) | creative(X0)))) &... | 0 |
If someone is rich or not brave then paul is either wise or not funny. If someone is strong or patient then susan is not curious or strong. Everyone who is curious or tall is either not funny or not patient. If fred is strong then paul is old or kind and vice versa. Everyone who is either happy or not quiet is both cal... | Paul is rich. | neutral | ((?[X]:((rich(X)|~brave(X))))=>((wise(paul)<~>~funny(paul))))&
((?[X]:((strong(X)|patient(X))))=>((~curious(susan)|strong(susan))))&
(![X]:((curious(X)|tall(X))=>(~funny(X)<~>~patient(X))))&
((strong(fred))<=>((old(paul)|kind(paul))))&
(![X]:((happy(X)<~>~quiet(X))<=>(calm(X)&~humble(X))))&
((?[X]:((brave(X)&quiet(X)))... | rich(paul) | [] | null | 0 |
If susan is either calm or generous then susan is both not happy and not old. If paul is not strong or brave then paul is old and vice versa. Everyone who is both not calm and quiet is both not creative and not funny. If someone is rich or not happy then john is not calm and vice versa. Everyone who is either happy or ... | John is not calm. | neutral | (((calm(susan)<~>generous(susan)))=>((~happy(susan)&~old(susan))))&
(((~strong(paul)|brave(paul)))<=>(old(paul)))&
(![X]:((~calm(X)&quiet(X))=>(~creative(X)&~funny(X))))&
((?[X]:((rich(X)|~happy(X))))<=>(~calm(john)))&
(![X]:((happy(X)<~>calm(X))<=>(~funny(X)|~strong(X))))&
(![X]:((kind(X)&~curious(X))<=>(quiet(X)<~>cr... | ~calm(john) | [] | null | 0 |
Everyone who is not generous or not funny is either not calm or rich and vice versa.
If mary is either patient or quiet then someone is both not generous and tall and vice versa.
Everyone who is not curious or not funny is either not old or not quiet.
If someone is either calm or not brave then someone is both not calm... | Lucy is happy. | neutral | (![X]:((~generous(X)|~funny(X))<=>(~calm(X)<~>rich(X))))&
(((patient(mary)<~>quiet(mary)))<=>(?[X]:((~generous(X)&tall(X)))))&
(![X]:((~curious(X)|~funny(X))=>(~old(X)<~>~quiet(X))))&
((?[X]:((calm(X)<~>~brave(X))))<=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:((quiet(X)&~kind(X))=>(~creative(X)&kind(X))))&
((?[X]:(~tall(X)... | happy(lucy) | [] | null | 0 |
If someone is not strong then someone is both wise and not calm and vice versa. Everyone who is calm or creative is both happy and patient. Everyone who is either not generous or not old is not brave or wise and vice versa. If someone is strong or patient then lucy is either brave or not calm and vice versa. If susan i... | Lucy is not brave. | entailment | ((?[X]:(~strong(X)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((calm(X)|creative(X))=>(happy(X)&patient(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(~brave(X)|wise(X))))&
((?[X]:((strong(X)|patient(X))))<=>((brave(lucy)<~>~calm(lucy))))&
(((~wise(susan)|~brave(susan)))<=>(?[X]:(~curious(X))))&
(((~humble(susan)<~>~kind(susan... | ~brave(lucy) | [
"p1",
"p2",
"p3",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4854827995683416376533901
% SZS output start Proof for 4854827995683416376533901
2. ! [X0] : ((creative(X0) | calm(X0)) => (patient(X0) & happy(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> ~old(X0)) <=> (wise(X0) | ~brave(X0))) [input p2]
4. ? [X0] : (patient(X0) | strong(X0)) <=> (br... | 0 |
Everyone who is curious is both not strong and not generous and vice versa. Everyone who is generous or patient is not tall. If mary is wise or not humble then fred is not curious or not calm. Everyone who is either not brave or not funny is not wise or not tall and vice versa. Everyone who is not tall or humble is str... | Susan is not funny. | neutral | (![X]:(curious(X)<=>(~strong(X)&~generous(X))))&
(![X]:((generous(X)|patient(X))=>~tall(X)))&
(((wise(mary)|~humble(mary)))=>((~curious(fred)|~calm(fred))))&
(![X]:((~brave(X)<~>~funny(X))<=>(~wise(X)|~tall(X))))&
(![X]:((~tall(X)|humble(X))=>(strong(X)|~patient(X))))&
(![X]:((~humble(X)<~>~generous(X))<=>(~brave(X)|~h... | ~funny(susan) | [] | null | 0 |
Everyone who is either not creative or brave is both not creative and strong and vice versa.
Everyone who is not curious is either not kind or not humble.
If john is generous then mary is funny.
Everyone who is both not generous and wise is either strong or not wise.
Everyone who is both not old and brave is not brave ... | Alice is creative. | contradiction | (![X]:((~creative(X)<~>brave(X))<=>(~creative(X)&strong(X))))&
(![X]:(~curious(X)=>(~kind(X)<~>~humble(X))))&
((generous(john))=>(funny(mary)))&
(![X]:((~generous(X)&wise(X))=>(strong(X)<~>~wise(X))))&
(![X]:((~old(X)&brave(X))<=>~brave(X)))&
(((~kind(alice)|humble(alice)))<=>((~kind(john)<~>kind(john))))&
((?[X]:((~wi... | creative(alice) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6943921227392062148232440
% SZS output start Proof for 6943921227392062148232440
1. ! [X0] : ((~creative(X0) <~> brave(X0)) <=> (strong(X0) & ~creative(X0))) [input p0]
5. ! [X0] : ((brave(X0) & ~old(X0)) <=> ~brave(X0)) [input p4]
23. creative(alice) [input hypothesis]
37. ! [X0] : ((((~... | 0 |
Everyone who is both not quiet and happy is either not kind or not humble. Everyone who is curious or not brave is both not funny and tall. If mary is tall or not rich then someone is patient or kind and vice versa. Everyone who is either not funny or not quiet is not kind or not happy and vice versa. If fred is not ki... | John is strong. | contradiction | (![X]:((~quiet(X)&happy(X))=>(~kind(X)<~>~humble(X))))&
(![X]:((curious(X)|~brave(X))=>(~funny(X)&tall(X))))&
(((tall(mary)|~rich(mary)))<=>(?[X]:((patient(X)|kind(X)))))&
(![X]:((~funny(X)<~>~quiet(X))<=>(~kind(X)|~happy(X))))&
(((~kind(fred)|wise(fred)))=>(?[X]:((~old(X)&~patient(X)))))&
(![X]:(~strong(X)=>(~quiet(X)... | strong(john) | [
"p1",
"p8",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8853929196387914782460556
% SZS output start Proof for 8853929196387914782460556
2. ! [X0] : ((~brave(X0) | curious(X0)) => (tall(X0) & ~funny(X0))) [input p1]
9. ? [X0] : (kind(X0) | calm(X0)) => (~patient(susan) & curious(susan)) [input p8]
11. ! [X0] : ((generous(X0) | tall(X0)) <=> (f... | 0 |
Everyone who is strong is either old or patient. If mary is both not humble and brave then someone is both rich and not creative and vice versa. If john is not strong then lucy is not rich or tall. Everyone who is either humble or brave is either not strong or calm. If someone is not humble then susan is either not ric... | Alice is happy. | neutral | (![X]:(strong(X)=>(old(X)<~>patient(X))))&
(((~humble(mary)&brave(mary)))<=>(?[X]:((rich(X)&~creative(X)))))&
((~strong(john))=>((~rich(lucy)|tall(lucy))))&
(![X]:((humble(X)<~>brave(X))=>(~strong(X)<~>calm(X))))&
((?[X]:(~humble(X)))<=>((~rich(susan)<~>creative(susan))))&
(![X]:((calm(X)&~quiet(X))<=>(~calm(X)|funny(X... | happy(alice) | [] | null | 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 ... | Paul is not curious. | entailment | (![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))<... | ~curious(paul) | [
"p0",
"p2",
"p4",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5854961956536304301230746
% SZS output start Proof for 5854961956536304301230746
1. ! [X0] : ((quiet(X0) <~> ~tall(X0)) <=> (~quiet(X0) <~> ~funny(X0))) [input p0]
3. ! [X0] : ((strong(X0) | kind(X0)) => quiet(X0)) [input p2]
5. ! [X0] : (funny(X0) <=> (wise(X0) | ~funny(X0))) [input p4]
... | 0 |
If someone is patient then someone is both old and generous. If fred is both not curious and not rich then someone is quiet. Everyone who is both not humble and humble is either not funny or old and vice versa. Everyone who is happy or tall is either not curious or creative. Everyone who is both tall and creative is no... | Susan is wise. | contradiction | ((?[X]:(patient(X)))=>(?[X]:((old(X)&generous(X)))))&
(((~curious(fred)&~rich(fred)))=>(?[X]:(quiet(X))))&
(![X]:((~humble(X)&humble(X))<=>(~funny(X)<~>old(X))))&
(![X]:((happy(X)|tall(X))=>(~curious(X)<~>creative(X))))&
(![X]:((tall(X)&creative(X))=>~humble(X)))&
(![X]:((old(X)|~wise(X))=>(~funny(X)<~>patient(X))))&
(... | wise(susan) | [
"p4",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8416779322771298791108502
% SZS output start Proof for 8416779322771298791108502
5. ! [X0] : ((creative(X0) & tall(X0)) => ~humble(X0)) [input p4]
11. ! [X0] : ((tall(X0) & creative(X0)) <=> wise(X0)) [input p10]
16. ! [X0] : ((humble(X0) & calm(X0)) <=> (wise(X0) | ~funny(X0))) [input p1... | 0 |
Everyone who is not happy is both quiet and not brave. If someone is patient then susan is either humble or rich. Everyone who is both not calm and quiet is quiet. If someone is either old or not rich then someone is not creative or curious and vice versa. Everyone who is not old is not tall or curious. Everyone who is... | John is not brave. | contradiction | (![X]:(~happy(X)=>(quiet(X)&~brave(X))))&
((?[X]:(patient(X)))=>((humble(susan)<~>rich(susan))))&
(![X]:((~calm(X)&quiet(X))=>quiet(X)))&
((?[X]:((old(X)<~>~rich(X))))<=>(?[X]:((~creative(X)|curious(X)))))&
(![X]:(~old(X)=>(~tall(X)|curious(X))))&
(![X]:((humble(X)<~>kind(X))<=>(~happy(X)|patient(X))))&
((?[X]:((~quiet... | ~brave(john) | [
"p0",
"p5",
"p7",
"p10",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4976281967484962981978778
% SZS output start Proof for 4976281967484962981978778
1. ! [X0] : (~happy(X0) => (~brave(X0) & quiet(X0))) [input p0]
6. ! [X0] : ((humble(X0) <~> kind(X0)) <=> (patient(X0) | ~happy(X0))) [input p5]
8. ! [X0] : (~humble(X0) => (~old(X0) & ~wise(X0))) [input p7]... | 0 |
If someone is either quiet or humble then paul is both not happy and not strong.
Everyone who is both not curious and patient is either old or rich and vice versa.
If someone is both tall and humble then susan is either not generous or curious.
Everyone who is not tall is not happy and vice versa.
Everyone who is eithe... | Mary is not creative. | contradiction | ((?[X]:((quiet(X)<~>humble(X))))=>((~happy(paul)&~strong(paul))))&
(![X]:((~curious(X)&patient(X))<=>(old(X)<~>rich(X))))&
((?[X]:((tall(X)&humble(X))))=>((~generous(susan)<~>curious(susan))))&
(![X]:(~tall(X)<=>~happy(X)))&
(![X]:((quiet(X)<~>rich(X))<=>(~strong(X)<~>quiet(X))))&
(![X]:((~curious(X)&quiet(X))=>(~happy... | ~creative(mary) | [
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2192787741586174132359283
% SZS output start Proof for 2192787741586174132359283
11. ~creative(mary) => (~patient(mary) <~> ~kind(mary)) [input p10]
14. ! [X0] : ((creative(X0) & patient(X0)) <=> (~patient(X0) | quiet(X0))) [input p13]
16. ! [X0] : ((quiet(X0) & ~brave(X0)) <=> (~rich(X0)... | 0 |
Everyone who is both not kind and curious is not rich or not wise and vice versa.
If someone is not wise then someone is both kind and tall.
If someone is curious or not patient then someone is either wise or calm.
If someone is either not kind or not rich then someone is either happy or not strong.
Everyone who is not... | Lucy is kind. | contradiction | (![X]:((~kind(X)&curious(X))<=>(~rich(X)|~wise(X))))&
((?[X]:(~wise(X)))=>(?[X]:((kind(X)&tall(X)))))&
((?[X]:((curious(X)|~patient(X))))=>(?[X]:((wise(X)<~>calm(X)))))&
((?[X]:((~kind(X)<~>~rich(X))))=>(?[X]:((happy(X)<~>~strong(X)))))&
(![X]:(~old(X)=>(wise(X)<~>strong(X))))&
(![X]:((creative(X)<~>funny(X))=>(~patien... | kind(lucy) | [
"p0",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1863190626613111396367134
% SZS output start Proof for 1863190626613111396367134
1. ! [X0] : ((curious(X0) & ~kind(X0)) <=> (~wise(X0) | ~rich(X0))) [input p0]
18. ~rich(lucy) & calm(lucy) [input p17]
25. kind(lucy) [input hypothesis]
41. ! [X0] : (((curious(X0) & ~kind(X0)) | (wise(X0) &... | 0 |
If someone is not happy then john is calm or humble and vice versa. If someone is either not humble or quiet then someone is both tall and not funny and vice versa. Everyone who is kind is both not strong and not tall and vice versa. Everyone who is humble is not strong or not humble. If mary is either not curious or s... | Mary is not humble. | entailment | ((?[X]:(~happy(X)))<=>((calm(john)|humble(john))))&
((?[X]:((~humble(X)<~>quiet(X))))<=>(?[X]:((tall(X)&~funny(X)))))&
(![X]:(kind(X)<=>(~strong(X)&~tall(X))))&
(![X]:(humble(X)=>(~strong(X)|~humble(X))))&
(((~curious(mary)<~>strong(mary)))<=>((calm(fred)|strong(fred))))&
((?[X]:((~funny(X)<~>~quiet(X))))=>(?[X]:(~kind... | ~humble(mary) | [
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4607627516389202067556089
% SZS output start Proof for 4607627516389202067556089
4. ! [X0] : (humble(X0) => (~humble(X0) | ~strong(X0))) [input p3]
13. ! [X0] : ((brave(X0) | ~strong(X0)) <=> strong(X0)) [input p12]
22. humble(mary) [input hypothesis]
34. ! [X0] : ((~humble(X0) | ~strong(... | 0 |
If john is wise then someone is not strong or not calm and vice versa.
If someone is brave or creative then someone is not strong and vice versa.
Everyone who is not curious or tall is either humble or kind and vice versa.
If someone is tall or creative then someone is both not humble and not calm and vice versa.
If lu... | John is wise. | entailment | ((wise(john))<=>(?[X]:((~strong(X)|~calm(X)))))&
((?[X]:((brave(X)|creative(X))))<=>(?[X]:(~strong(X))))&
(![X]:((~curious(X)|tall(X))<=>(humble(X)<~>kind(X))))&
((?[X]:((tall(X)|creative(X))))<=>(?[X]:((~humble(X)&~calm(X)))))&
(((~humble(lucy)&patient(lucy)))<=>((~strong(mary)<~>patient(mary))))&
((brave(alice))=>(?[... | wise(john) | [
"p0",
"p1",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5542678524380222671366740
% SZS output start Proof for 5542678524380222671366740
1. wise(john) <=> ? [X0] : (~calm(X0) | ~strong(X0)) [input p0]
2. ? [X0] : (creative(X0) | brave(X0)) <=> ? [X0] : ~strong(X0) [input p1]
17. humble(paul) & brave(paul) [input p16]
25. ~wise(john) [input hyp... | 0 |
If mary is quiet or not generous then lucy is not tall or not happy and vice versa.
Everyone who is happy is both patient and not creative and vice versa.
Everyone who is both calm and kind is either not old or generous and vice versa.
Everyone who is both not wise and not funny is not strong or not quiet and vice vers... | Mary is not calm. | entailment | (((quiet(mary)|~generous(mary)))<=>((~tall(lucy)|~happy(lucy))))&
(![X]:(happy(X)<=>(patient(X)&~creative(X))))&
(![X]:((calm(X)&kind(X))<=>(~old(X)<~>generous(X))))&
(![X]:((~wise(X)&~funny(X))<=>(~strong(X)|~quiet(X))))&
((?[X]:(patient(X)))=>((~quiet(mary)|~kind(mary))))&
(![X]:(curious(X)=>(curious(X)<~>~humble(X))... | ~calm(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7038135910456477321445386
% SZS output start Proof for 7038135910456477321445386
15. ! [X0] : ((~calm(X0) & strong(X0)) <=> (funny(X0) | ~funny(X0))) [input p14]
21. calm(mary) [input hypothesis]
56. ! [X0] : (((~calm(X0) & strong(X0)) | (~funny(X0) & funny(X0))) & ((funny(X0) | ~funny(X0... | 0 |
If mary is not strong then someone is not tall or not calm. If fred is both not happy and old then someone is either not creative or funny. Everyone who is not funny is not calm and vice versa. Everyone who is either curious or patient is not calm. Everyone who is not rich is either creative or not calm. Everyone who i... | John is not generous. | entailment | ((~strong(mary))=>(?[X]:((~tall(X)|~calm(X)))))&
(((~happy(fred)&old(fred)))=>(?[X]:((~creative(X)<~>funny(X)))))&
(![X]:(~funny(X)<=>~calm(X)))&
(![X]:((curious(X)<~>patient(X))=>~calm(X)))&
(![X]:(~rich(X)=>(creative(X)<~>~calm(X))))&
(![X]:((funny(X)<~>brave(X))=>(~generous(X)<~>~tall(X))))&
((?[X]:((~tall(X)<~>pati... | ~generous(john) | [
"p2",
"p3",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2424197882442007733141019
% SZS output start Proof for 2424197882442007733141019
3. ! [X0] : (~funny(X0) <=> ~calm(X0)) [input p2]
4. ! [X0] : ((curious(X0) <~> patient(X0)) => ~calm(X0)) [input p3]
12. ! [X0] : ((curious(X0) | ~generous(X0)) <=> (~humble(X0) & funny(X0))) [input p11]
13.... | 0 |
If someone is either not creative or creative then someone is either not patient or old. Everyone who is brave is not tall or generous and vice versa. Everyone who is generous or calm is either happy or tall. If someone is either not curious or rich then paul is creative or not curious and vice versa. Everyone who is e... | Susan is not tall. | entailment | ((?[X]:((~creative(X)<~>creative(X))))=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:(brave(X)<=>(~tall(X)|generous(X))))&
(![X]:((generous(X)|calm(X))=>(happy(X)<~>tall(X))))&
((?[X]:((~curious(X)<~>rich(X))))<=>((creative(paul)|~curious(paul))))&
(![X]:((creative(X)<~>old(X))=>(~patient(X)|quiet(X))))&
(((curious(susan)|~... | ~tall(susan) | [
"p1",
"p2",
"p5",
"p6",
"p7",
"p8",
"p10",
"p12",
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1086443888789776357138525
% SZS output start Proof for 1086443888789776357138525
2. ! [X0] : (brave(X0) <=> (generous(X0) | ~tall(X0))) [input p1]
3. ! [X0] : ((calm(X0) | generous(X0)) => (happy(X0) <~> tall(X0))) [input p2]
6. (~generous(susan) | curious(susan)) <=> (tall(fred) & ~patie... | 0 |
If mary is both old and not patient then john is either brave or not generous and vice versa.
Everyone who is either creative or patient is old or not funny and vice versa.
Everyone who is calm is both patient and not strong and vice versa.
Everyone who is strong is either happy or not calm.
Everyone who is both not pa... | John is not humble. | neutral | (((old(mary)&~patient(mary)))<=>((brave(john)<~>~generous(john))))&
(![X]:((creative(X)<~>patient(X))<=>(old(X)|~funny(X))))&
(![X]:(calm(X)<=>(patient(X)&~strong(X))))&
(![X]:(strong(X)=>(happy(X)<~>~calm(X))))&
(![X]:((~patient(X)&~happy(X))=>(strong(X)|~generous(X))))&
(((~humble(john)&wise(john)))=>(?[X]:((~strong(... | ~humble(john) | [] | null | 0 |
Everyone who is both not curious and patient is either not happy or not funny. Everyone who is both happy and kind is curious. If fred is not happy or calm then mary is old or quiet and vice versa. Everyone who is not patient or not quiet is both not generous and not rich and vice versa. If someone is not humble or not... | Alice is curious. | entailment | (![X]:((~curious(X)&patient(X))=>(~happy(X)<~>~funny(X))))&
(![X]:((happy(X)&kind(X))=>curious(X)))&
(((~happy(fred)|calm(fred)))<=>((old(mary)|quiet(mary))))&
(![X]:((~patient(X)|~quiet(X))<=>(~generous(X)&~rich(X))))&
((?[X]:((~humble(X)|~calm(X))))=>(?[X]:((kind(X)<~>~tall(X)))))&
(![X]:((~funny(X)|~happy(X))=>(~ric... | curious(alice) | [
"p0",
"p3",
"p5",
"p9",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3741705323812711837931916
% SZS output start Proof for 3741705323812711837931916
1. ! [X0] : ((patient(X0) & ~curious(X0)) => (~happy(X0) <~> ~funny(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> (~rich(X0) & ~generous(X0))) [input p3]
6. ! [X0] : ((~happy(X0) | ~funny(X0))... | 0 |
Everyone who is strong or calm is both quiet and kind and vice versa.
If mary is either not kind or rich then someone is not tall.
Everyone who is either not old or happy is either not wise or not calm and vice versa.
Everyone who is happy or not curious is either not humble or creative.
If someone is either not curiou... | Paul is patient. | entailment | (![X]:((strong(X)|calm(X))<=>(quiet(X)&kind(X))))&
(((~kind(mary)<~>rich(mary)))=>(?[X]:(~tall(X))))&
(![X]:((~old(X)<~>happy(X))<=>(~wise(X)<~>~calm(X))))&
(![X]:((happy(X)|~curious(X))=>(~humble(X)<~>creative(X))))&
((?[X]:((~curious(X)<~>wise(X))))=>((~humble(lucy)<~>~rich(lucy))))&
(![X]:((~old(X)<~>~rich(X))<=>(~p... | patient(paul) | [
"p0",
"p8",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 505413930519208631441627
% SZS output start Proof for 505413930519208631441627
1. ! [X0] : ((calm(X0) | strong(X0)) <=> (kind(X0) & quiet(X0))) [input p0]
9. ! [X0] : ((creative(X0) & old(X0)) <=> ~calm(X0)) [input p8]
16. (~tall(paul) | quiet(paul)) => (patient(paul) | ~kind(paul)) [inpu... | 0 |
If fred is both not calm and curious then fred is both not tall and not generous.
Everyone who is tall or not wise is both quiet and not happy.
If paul is both not creative and generous then someone is curious or not rich.
Everyone who is not calm or not wise is not happy or patient.
Everyone who is both happy and not ... | Susan is not patient. | contradiction | (((~calm(fred)&curious(fred)))=>((~tall(fred)&~generous(fred))))&
(![X]:((tall(X)|~wise(X))=>(quiet(X)&~happy(X))))&
(((~creative(paul)&generous(paul)))=>(?[X]:((curious(X)|~rich(X)))))&
(![X]:((~calm(X)|~wise(X))=>(~happy(X)|patient(X))))&
(![X]:((happy(X)&~wise(X))<=>(~curious(X)<~>~patient(X))))&
((~funny(fred))=>((... | ~patient(susan) | [
"p1",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3043485879394050332986296
% SZS output start Proof for 3043485879394050332986296
2. ! [X0] : ((~wise(X0) | tall(X0)) => (~happy(X0) & quiet(X0))) [input p1]
8. ! [X0] : ((tall(X0) | strong(X0)) <=> (~strong(X0) <~> happy(X0))) [input p7]
9. ! [X0] : (~patient(X0) => (strong(X0) & generous... | 0 |
Everyone who is kind or not quiet is calm.
If john is both rich and tall then alice is not quiet or brave.
If someone is either funny or quiet then someone is not kind or calm.
If someone is strong then mary is not rich and vice versa.
Everyone who is either not happy or not patient is both not tall and generous and vi... | Alice is not humble. | entailment | (![X]:((kind(X)|~quiet(X))=>calm(X)))&
(((rich(john)&tall(john)))=>((~quiet(alice)|brave(alice))))&
((?[X]:((funny(X)<~>quiet(X))))=>(?[X]:((~kind(X)|calm(X)))))&
((?[X]:(strong(X)))<=>(~rich(mary)))&
(![X]:((~happy(X)<~>~patient(X))<=>(~tall(X)&generous(X))))&
(![X]:((patient(X)<~>~humble(X))=>(~humble(X)<~>~tall(X)))... | ~humble(alice) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4508661416256528590848880
% SZS output start Proof for 4508661416256528590848880
13. ! [X0] : ((tall(X0) | humble(X0)) <=> (~tall(X0) & happy(X0))) [input p12]
15. (kind(alice) | happy(alice)) => (~rich(alice) & ~humble(alice)) [input p14]
23. humble(alice) [input hypothesis]
37. (~rich(a... | 0 |
If someone is not old or not brave then someone is rich or happy.
If someone is not brave or not rich then someone is not funny or not rich.
Everyone who is not strong is happy.
Everyone who is both rich and curious is tall or not kind.
If john is quiet or not happy then someone is either not patient or not strong.
Eve... | Alice is not generous. | neutral | ((?[X]:((~old(X)|~brave(X))))=>(?[X]:((rich(X)|happy(X)))))&
((?[X]:((~brave(X)|~rich(X))))=>(?[X]:((~funny(X)|~rich(X)))))&
(![X]:(~strong(X)=>happy(X)))&
(![X]:((rich(X)&curious(X))=>(tall(X)|~kind(X))))&
(((quiet(john)|~happy(john)))=>(?[X]:((~patient(X)<~>~strong(X)))))&
(![X]:((old(X)<~>~happy(X))<=>(~quiet(X)<~>~... | ~generous(alice) | [] | null | 0 |
Everyone who is both not strong and not funny is kind. If someone is not patient then john is patient and vice versa. Everyone who is kind or not quiet is brave and vice versa. Everyone who is either happy or strong is not tall and vice versa. Everyone who is both calm and generous is both happy and not wise and vice v... | Paul is not kind. | contradiction | (![X]:((~strong(X)&~funny(X))=>kind(X)))&
((?[X]:(~patient(X)))<=>(patient(john)))&
(![X]:((kind(X)|~quiet(X))<=>brave(X)))&
(![X]:((happy(X)<~>strong(X))<=>~tall(X)))&
(![X]:((calm(X)&generous(X))<=>(happy(X)&~wise(X))))&
(![X]:(~humble(X)<=>(curious(X)|rich(X))))&
((?[X]:((humble(X)<~>~calm(X))))<=>((generous(paul)<~... | ~kind(paul) | [
"p2",
"p4",
"p6",
"p8",
"p9",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6176937420970386417488165
% SZS output start Proof for 6176937420970386417488165
3. ! [X0] : ((~quiet(X0) | kind(X0)) <=> brave(X0)) [input p2]
5. ! [X0] : ((generous(X0) & calm(X0)) <=> (~wise(X0) & happy(X0))) [input p4]
7. ? [X0] : (humble(X0) <~> ~calm(X0)) <=> (generous(paul) <~> ~ki... | 0 |
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