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 happy is both curious and creative and vice versa.
Everyone who is rich is not humble or not brave and vice versa.
Everyone who is either not wise or not calm is calm or wise.
If paul is either not creative or creative then someone is either brave or not quiet and vice versa.
Everyone who is both tall a... | Paul is not patient. | neutral | (![X]:(happy(X)<=>(curious(X)&creative(X))))&
(![X]:(rich(X)<=>(~humble(X)|~brave(X))))&
(![X]:((~wise(X)<~>~calm(X))=>(calm(X)|wise(X))))&
(((~creative(paul)<~>creative(paul)))<=>(?[X]:((brave(X)<~>~quiet(X)))))&
(![X]:((tall(X)&kind(X))=>(kind(X)&~strong(X))))&
((?[X]:((creative(X)|~brave(X))))=>((~calm(fred)&~humble... | ~patient(paul) | [] | null | 0 |
Everyone who is both rich and not kind is not kind. If someone is curious or not strong then paul is both not kind and not rich. Everyone who is both not tall and strong is either patient or humble and vice versa. Everyone who is generous or quiet is not quiet and vice versa. Everyone who is not old is both happy and n... | Mary is not humble. | contradiction | (![X]:((rich(X)&~kind(X))=>~kind(X)))&
((?[X]:((curious(X)|~strong(X))))=>((~kind(paul)&~rich(paul))))&
(![X]:((~tall(X)&strong(X))<=>(patient(X)<~>humble(X))))&
(![X]:((generous(X)|quiet(X))<=>~quiet(X)))&
(![X]:(~old(X)=>(happy(X)&~humble(X))))&
(((~generous(susan)|~patient(susan)))<=>((~tall(lucy)|~curious(lucy))))&... | ~humble(mary) | [
"p2",
"p3",
"p6",
"p13",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 66651278088838746697124
% SZS output start Proof for 66651278088838746697124
3. ! [X0] : ((strong(X0) & ~tall(X0)) <=> (patient(X0) <~> humble(X0))) [input p2]
4. ! [X0] : ((quiet(X0) | generous(X0)) <=> ~quiet(X0)) [input p3]
7. ! [X0] : (~patient(X0) <=> (~curious(X0) <~> tall(X0))) [in... | 0 |
If lucy is humble then alice is old or generous.
If someone is both not strong and not happy then fred is strong and vice versa.
Everyone who is either not strong or rich is both not brave and not humble and vice versa.
Everyone who is both not creative and wise is not old and vice versa.
Everyone who is not curious is... | Paul is not funny. | contradiction | ((humble(lucy))=>((old(alice)|generous(alice))))&
((?[X]:((~strong(X)&~happy(X))))<=>(strong(fred)))&
(![X]:((~strong(X)<~>rich(X))<=>(~brave(X)&~humble(X))))&
(![X]:((~creative(X)&wise(X))<=>~old(X)))&
(![X]:(~curious(X)<=>(tall(X)<~>creative(X))))&
(![X]:(~tall(X)<=>(kind(X)|~happy(X))))&
(![X]:((creative(X)&humble(X... | ~funny(paul) | [
"p5",
"p7",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3886344012838773742213333
% SZS output start Proof for 3886344012838773742213333
6. ! [X0] : (~tall(X0) <=> (~happy(X0) | kind(X0))) [input p5]
8. ! [X0] : (humble(X0) <=> (tall(X0) & strong(X0))) [input p7]
10. ! [X0] : ((tall(X0) | ~humble(X0)) <=> (funny(X0) & brave(X0))) [input p9]
18... | 0 |
If someone is either kind or not strong then someone is not funny or not kind. If susan is either kind or creative then fred is either not happy or not curious. Everyone who is both not creative and old is both not tall and tall. If someone is either brave or not creative then alice is not tall or strong and vice versa... | Fred is not brave. | neutral | ((?[X]:((kind(X)<~>~strong(X))))=>(?[X]:((~funny(X)|~kind(X)))))&
(((kind(susan)<~>creative(susan)))=>((~happy(fred)<~>~curious(fred))))&
(![X]:((~creative(X)&old(X))=>(~tall(X)&tall(X))))&
((?[X]:((brave(X)<~>~creative(X))))<=>((~tall(alice)|strong(alice))))&
(![X]:(~tall(X)<=>(~generous(X)&patient(X))))&
(![X]:((~pat... | ~brave(fred) | [] | null | 0 |
If paul is not funny or not kind then paul is both not generous and not old and vice versa.
If someone is not happy then someone is creative or not brave.
If susan is not old then someone is both funny and calm.
Everyone who is either brave or not wise is both not generous and funny and vice versa.
Everyone who is eith... | Paul is wise. | entailment | (((~funny(paul)|~kind(paul)))<=>((~generous(paul)&~old(paul))))&
((?[X]:(~happy(X)))=>(?[X]:((creative(X)|~brave(X)))))&
((~old(susan))=>(?[X]:((funny(X)&calm(X)))))&
(![X]:((brave(X)<~>~wise(X))<=>(~generous(X)&funny(X))))&
(![X]:((~kind(X)<~>kind(X))<=>(~curious(X)<~>~happy(X))))&
(![X]:((curious(X)|creative(X))=>(~w... | wise(paul) | [
"p6",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 826188503193198391384525
% SZS output start Proof for 826188503193198391384525
7. ! [X0] : ((old(X0) & wise(X0)) <=> generous(X0)) [input p6]
8. ! [X0] : ((wise(X0) <~> ~generous(X0)) <=> (rich(X0) & funny(X0))) [input p7]
21. funny(paul) <~> rich(paul) [input p20]
22. ~wise(paul) [input ... | 0 |
If someone is either kind or not quiet then someone is tall or not patient and vice versa.
Everyone who is brave or not kind is not rich.
Everyone who is both creative and not generous is both not brave and curious.
Everyone who is either not creative or wise is both calm and tall and vice versa.
If john is either stro... | Susan is rich. | contradiction | ((?[X]:((kind(X)<~>~quiet(X))))<=>(?[X]:((tall(X)|~patient(X)))))&
(![X]:((brave(X)|~kind(X))=>~rich(X)))&
(![X]:((creative(X)&~generous(X))=>(~brave(X)&curious(X))))&
(![X]:((~creative(X)<~>wise(X))<=>(calm(X)&tall(X))))&
(((strong(john)<~>~kind(john)))<=>(?[X]:((~old(X)<~>~funny(X)))))&
(![X]:((creative(X)&patient(X)... | rich(susan) | [
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6038180712083103590268935
% SZS output start Proof for 6038180712083103590268935
13. ! [X0] : (wise(X0) <=> rich(X0)) [input p12]
19. ~funny(susan) & ~wise(susan) [input p18]
25. rich(susan) [input hypothesis]
63. ! [X0] : ((wise(X0) | ~rich(X0)) & (rich(X0) | ~wise(X0))) [nnf transformat... | 0 |
Everyone who is either rich or not patient is either not generous or creative. Everyone who is not kind or humble is wise and vice versa. If someone is both not rich and funny then someone is not tall or kind. If someone is brave then john is either happy or brave. If someone is both not rich and not patient then someo... | Paul is creative. | neutral | (![X]:((rich(X)<~>~patient(X))=>(~generous(X)<~>creative(X))))&
(![X]:((~kind(X)|humble(X))<=>wise(X)))&
((?[X]:((~rich(X)&funny(X))))=>(?[X]:((~tall(X)|kind(X)))))&
((?[X]:(brave(X)))=>((happy(john)<~>brave(john))))&
((?[X]:((~rich(X)&~patient(X))))<=>(?[X]:((rich(X)<~>~brave(X)))))&
(![X]:((tall(X)<~>~generous(X))=>(... | creative(paul) | [] | null | 0 |
If mary is rich or not humble then someone is either not funny or quiet and vice versa.
If lucy is not tall or tall then susan is both not old and not funny and vice versa.
Everyone who is not wise is both quiet and not curious and vice versa.
Everyone who is both not patient and wise is curious or not old.
If someone ... | Fred is wise. | neutral | (((rich(mary)|~humble(mary)))<=>(?[X]:((~funny(X)<~>quiet(X)))))&
(((~tall(lucy)|tall(lucy)))<=>((~old(susan)&~funny(susan))))&
(![X]:(~wise(X)<=>(quiet(X)&~curious(X))))&
(![X]:((~patient(X)&wise(X))=>(curious(X)|~old(X))))&
((?[X]:((~quiet(X)&patient(X))))=>((~happy(john)|~strong(john))))&
((?[X]:((~brave(X)|~happy(X... | wise(fred) | [] | null | 0 |
Everyone who is either not wise or not humble is both happy and curious and vice versa. Everyone who is both humble and not strong is tall or strong and vice versa. Everyone who is not rich is both happy and not funny and vice versa. If alice is both not calm and not happy then someone is not old or not curious. Everyo... | Alice is quiet. | neutral | (![X]:((~wise(X)<~>~humble(X))<=>(happy(X)&curious(X))))&
(![X]:((humble(X)&~strong(X))<=>(tall(X)|strong(X))))&
(![X]:(~rich(X)<=>(happy(X)&~funny(X))))&
(((~calm(alice)&~happy(alice)))=>(?[X]:((~old(X)|~curious(X)))))&
(![X]:((~happy(X)&~humble(X))=>(~calm(X)|humble(X))))&
((?[X]:((~rich(X)&~brave(X))))<=>((happy(luc... | quiet(alice) | [] | null | 0 |
If someone is brave or not generous then john is not calm and vice versa. Everyone who is both not tall and not brave is either rich or calm and vice versa. Everyone who is curious or brave is generous and vice versa. Everyone who is old is strong or old and vice versa. Everyone who is not calm or not quiet is patient ... | Lucy is rich. | contradiction | ((?[X]:((brave(X)|~generous(X))))<=>(~calm(john)))&
(![X]:((~tall(X)&~brave(X))<=>(rich(X)<~>calm(X))))&
(![X]:((curious(X)|brave(X))<=>generous(X)))&
(![X]:(old(X)<=>(strong(X)|old(X))))&
(![X]:((~calm(X)|~quiet(X))=>(patient(X)|brave(X))))&
((?[X]:((~brave(X)&creative(X))))=>(?[X]:((~creative(X)|~generous(X)))))&
(![... | rich(lucy) | [
"p6",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 791429531319459455516243
% SZS output start Proof for 791429531319459455516243
7. ! [X0] : ((creative(X0) | ~creative(X0)) <=> (quiet(X0) | humble(X0))) [input p6]
14. ! [X0] : (quiet(X0) => (humble(X0) | happy(X0))) [input p13]
16. ? [X0] : (~strong(X0) | generous(X0)) <=> (~humble(susan... | 0 |
If someone is either not tall or not rich then susan is kind and vice versa.
If someone is not humble then someone is not tall or curious and vice versa.
Everyone who is both not generous and brave is either not happy or quiet.
Everyone who is both not rich and strong is tall and vice versa.
If john is either funny or ... | Alice is tall. | entailment | ((?[X]:((~tall(X)<~>~rich(X))))<=>(kind(susan)))&
((?[X]:(~humble(X)))<=>(?[X]:((~tall(X)|curious(X)))))&
(![X]:((~generous(X)&brave(X))=>(~happy(X)<~>quiet(X))))&
(![X]:((~rich(X)&strong(X))<=>tall(X)))&
(((funny(john)<~>~curious(john)))=>((~kind(paul)|~calm(paul))))&
((strong(paul))=>(?[X]:(old(X))))&
(![X]:((happy(X... | tall(alice) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5545243096859904775653100
% SZS output start Proof for 5545243096859904775653100
4. ! [X0] : ((strong(X0) & ~rich(X0)) <=> tall(X0)) [input p3]
8. ! [X0] : ((~tall(X0) & tall(X0)) <=> (~strong(X0) | rich(X0))) [input p7]
23. ~tall(alice) [input hypothesis]
46. ! [X0] : (((strong(X0) & ~ri... | 0 |
Everyone who is patient or not humble is not old or creative.
Everyone who is kind is not curious or not creative and vice versa.
If john is not funny then lucy is either wise or not creative.
If someone is either happy or not patient then john is not funny or kind.
If someone is not brave or funny then fred is either ... | Paul is not happy. | neutral | (![X]:((patient(X)|~humble(X))=>(~old(X)|creative(X))))&
(![X]:(kind(X)<=>(~curious(X)|~creative(X))))&
((~funny(john))=>((wise(lucy)<~>~creative(lucy))))&
((?[X]:((happy(X)<~>~patient(X))))=>((~funny(john)|kind(john))))&
((?[X]:((~brave(X)|funny(X))))<=>((~humble(fred)<~>happy(fred))))&
(((old(paul)&kind(paul)))=>((~c... | ~happy(paul) | [] | null | 0 |
If someone is not quiet or quiet then mary is either quiet or wise and vice versa. Everyone who is patient or not humble is either generous or not humble and vice versa. If mary is not creative then paul is kind or not calm. Everyone who is either rich or not rich is both not rich and strong. If someone is both not gen... | Mary is not rich. | entailment | ((?[X]:((~quiet(X)|quiet(X))))<=>((quiet(mary)<~>wise(mary))))&
(![X]:((patient(X)|~humble(X))<=>(generous(X)<~>~humble(X))))&
((~creative(mary))=>((kind(paul)|~calm(paul))))&
(![X]:((rich(X)<~>~rich(X))=>(~rich(X)&strong(X))))&
((?[X]:((~generous(X)&creative(X))))=>(?[X]:((tall(X)|generous(X)))))&
((?[X]:((~calm(X)|ri... | ~rich(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7708473918746756735400771
% SZS output start Proof for 7708473918746756735400771
4. ! [X0] : ((rich(X0) <~> ~rich(X0)) => (strong(X0) & ~rich(X0))) [input p3]
25. rich(mary) [input hypothesis]
32. ! [X0] : ((strong(X0) & ~rich(X0)) | (rich(X0) <=> ~rich(X0))) [ennf transformation 4]
50. !... | 0 |
Everyone who is both creative and generous is rich or kind and vice versa.
Everyone who is both not strong and happy is patient or rich.
If lucy is not curious or not happy then susan is either patient or not kind.
If someone is either not tall or wise then alice is not happy or wise.
If someone is both not tall and cr... | Alice is not generous. | entailment | (![X]:((creative(X)&generous(X))<=>(rich(X)|kind(X))))&
(![X]:((~strong(X)&happy(X))=>(patient(X)|rich(X))))&
(((~curious(lucy)|~happy(lucy)))=>((patient(susan)<~>~kind(susan))))&
((?[X]:((~tall(X)<~>wise(X))))=>((~happy(alice)|wise(alice))))&
((?[X]:((~tall(X)&creative(X))))<=>(?[X]:((patient(X)&wise(X)))))&
(![X]:((~... | ~generous(alice) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"p10",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 875914367291831713273650
% SZS output start Proof for 875914367291831713273650
1. ! [X0] : ((generous(X0) & creative(X0)) <=> (kind(X0) | rich(X0))) [input p0]
4. ? [X0] : (~tall(X0) <~> wise(X0)) => (wise(alice) | ~happy(alice)) [input p3]
5. ? [X0] : (creative(X0) & ~tall(X0)) <=> ? [X0... | 0 |
Everyone who is not rich is not generous or brave and vice versa. If john is wise or funny then john is not calm or creative. Everyone who is either old or happy is brave or humble and vice versa. Everyone who is calm is both curious and not curious. If john is not strong then someone is both old and tall. If someone i... | Lucy is not old. | entailment | (![X]:(~rich(X)<=>(~generous(X)|brave(X))))&
(((wise(john)|funny(john)))=>((~calm(john)|creative(john))))&
(![X]:((old(X)<~>happy(X))<=>(brave(X)|humble(X))))&
(![X]:(calm(X)=>(curious(X)&~curious(X))))&
((~strong(john))=>(?[X]:((old(X)&tall(X)))))&
((?[X]:((~calm(X)|~brave(X))))<=>((strong(susan)<~>patient(susan))))&
... | ~old(lucy) | [
"p2",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6534217119500602216835176
% SZS output start Proof for 6534217119500602216835176
3. ! [X0] : ((old(X0) <~> happy(X0)) <=> (humble(X0) | brave(X0))) [input p2]
12. ! [X0] : (patient(X0) <=> (happy(X0) | ~patient(X0))) [input p11]
15. ! [X0] : ((humble(X0) <~> ~brave(X0)) => (brave(X0) & ~h... | 0 |
Everyone who is either old or not brave is humble and vice versa. Everyone who is both not tall and not happy is generous. If paul is not rich then someone is both not curious and tall and vice versa. Everyone who is both curious and not kind is not happy and vice versa. If fred is not kind or tall then someone is not ... | John is rich. | neutral | (![X]:((old(X)<~>~brave(X))<=>humble(X)))&
(![X]:((~tall(X)&~happy(X))=>generous(X)))&
((~rich(paul))<=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:((curious(X)&~kind(X))<=>~happy(X)))&
(((~kind(fred)|tall(fred)))<=>(?[X]:((~kind(X)|~patient(X)))))&
((?[X]:((kind(X)&tall(X))))=>((~happy(paul)|~strong(paul))))&
((?[X]:((~tal... | rich(john) | [] | null | 0 |
Everyone who is calm is either not wise or not calm and vice versa.
Everyone who is both brave and not tall is either old or not strong and vice versa.
Everyone who is both not tall and not generous is kind.
If someone is both not creative and brave then someone is either patient or happy and vice versa.
Everyone who i... | Mary is funny. | neutral | (![X]:(calm(X)<=>(~wise(X)<~>~calm(X))))&
(![X]:((brave(X)&~tall(X))<=>(old(X)<~>~strong(X))))&
(![X]:((~tall(X)&~generous(X))=>kind(X)))&
((?[X]:((~creative(X)&brave(X))))<=>(?[X]:((patient(X)<~>happy(X)))))&
(![X]:(funny(X)=>(~old(X)<~>patient(X))))&
(![X]:((tall(X)<~>calm(X))<=>(tall(X)|~patient(X))))&
((?[X]:((pati... | funny(mary) | [] | null | 0 |
Everyone who is either not creative or patient is not old.
Everyone who is not tall is both not humble and humble and vice versa.
Everyone who is both not brave and brave is humble or not curious.
If susan is both not creative and not old then someone is not quiet or not tall.
Everyone who is both not rich and funny is... | Alice is not kind. | contradiction | (![X]:((~creative(X)<~>patient(X))=>~old(X)))&
(![X]:(~tall(X)<=>(~humble(X)&humble(X))))&
(![X]:((~brave(X)&brave(X))=>(humble(X)|~curious(X))))&
(((~creative(susan)&~old(susan)))=>(?[X]:((~quiet(X)|~tall(X)))))&
(![X]:((~rich(X)&funny(X))<=>(old(X)|~humble(X))))&
((?[X]:(~generous(X)))=>(strong(paul)))&
((?[X]:((wise... | ~kind(alice) | [
"p4",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5063674083830961247827866
% SZS output start Proof for 5063674083830961247827866
5. ! [X0] : ((funny(X0) & ~rich(X0)) <=> (~humble(X0) | old(X0))) [input p4]
8. ! [X0] : ((humble(X0) <~> kind(X0)) <=> (~kind(X0) & ~brave(X0))) [input p7]
9. ! [X0] : ((curious(X0) | humble(X0)) => (brave(X... | 0 |
If fred is not old or happy then alice is both wise and not kind and vice versa. If someone is either wise or rich then someone is both kind and humble and vice versa. Everyone who is both wise and tall is either kind or not creative and vice versa. If someone is either quiet or generous then paul is not creative. If p... | Susan is not funny. | contradiction | (((~old(fred)|happy(fred)))<=>((wise(alice)&~kind(alice))))&
((?[X]:((wise(X)<~>rich(X))))<=>(?[X]:((kind(X)&humble(X)))))&
(![X]:((wise(X)&tall(X))<=>(kind(X)<~>~creative(X))))&
((?[X]:((quiet(X)<~>generous(X))))=>(~creative(paul)))&
(((~rich(paul)&~strong(paul)))=>(?[X]:((creative(X)<~>~generous(X)))))&
((?[X]:((happ... | ~funny(susan) | [
"p9",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8969970832048640209131693
% SZS output start Proof for 8969970832048640209131693
10. ! [X0] : (patient(X0) <=> (tall(X0) | ~funny(X0))) [input p9]
15. ! [X0] : (~rich(X0) <=> old(X0)) [input p14]
16. ! [X0] : ((~kind(X0) | patient(X0)) <=> (~old(X0) <~> patient(X0))) [input p15]
17. rich(... | 0 |
Everyone who is calm is either not creative or not calm and vice versa.
If someone is quiet or humble then alice is both old and not brave and vice versa.
Everyone who is patient is both kind and not kind and vice versa.
If someone is either not kind or calm then alice is either kind or not generous.
If someone is not ... | Fred is not humble. | entailment | (![X]:(calm(X)<=>(~creative(X)<~>~calm(X))))&
((?[X]:((quiet(X)|humble(X))))<=>((old(alice)&~brave(alice))))&
(![X]:(patient(X)<=>(kind(X)&~kind(X))))&
((?[X]:((~kind(X)<~>calm(X))))=>((kind(alice)<~>~generous(alice))))&
((?[X]:(~funny(X)))=>(?[X]:((~funny(X)&~quiet(X)))))&
(![X]:(~rich(X)=>(generous(X)<~>happy(X))))&
... | ~humble(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 887446136989405722558162
% SZS output start Proof for 887446136989405722558162
7. ! [X0] : (humble(X0) => ~humble(X0)) [input p6]
25. humble(fred) [input hypothesis]
32. ! [X0] : (~humble(X0) | ~humble(X0)) [ennf transformation 7]
99. ~humble(X0) | ~humble(X0) [cnf transformation 32]
141.... | 0 |
Everyone who is not tall or not generous is either not happy or patient. Everyone who is creative is both rich and not funny. If alice is not funny or not rich then mary is either kind or happy and vice versa. If someone is generous or not brave then someone is either quiet or not generous. Everyone who is strong or no... | Paul is not funny. | neutral | (![X]:((~tall(X)|~generous(X))=>(~happy(X)<~>patient(X))))&
(![X]:(creative(X)=>(rich(X)&~funny(X))))&
(((~funny(alice)|~rich(alice)))<=>((kind(mary)<~>happy(mary))))&
((?[X]:((generous(X)|~brave(X))))=>(?[X]:((quiet(X)<~>~generous(X)))))&
(![X]:((strong(X)|~calm(X))<=>(~brave(X)|~quiet(X))))&
((?[X]:(strong(X)))<=>((~... | ~funny(paul) | [] | null | 0 |
Everyone who is either not calm or not patient is calm or not strong.
If someone is not rich then someone is quiet and vice versa.
Everyone who is both not kind and creative is wise.
Everyone who is either brave or generous is either generous or happy.
If paul is not old or not tall then someone is not brave.
Everyone ... | Mary is patient. | neutral | (![X]:((~calm(X)<~>~patient(X))=>(calm(X)|~strong(X))))&
((?[X]:(~rich(X)))<=>(?[X]:(quiet(X))))&
(![X]:((~kind(X)&creative(X))=>wise(X)))&
(![X]:((brave(X)<~>generous(X))=>(generous(X)<~>happy(X))))&
(((~old(paul)|~tall(paul)))=>(?[X]:(~brave(X))))&
(![X]:((calm(X)|~curious(X))=>(generous(X)|~humble(X))))&
((?[X]:(hap... | patient(mary) | [] | null | 0 |
Everyone who is patient or calm is either not strong or not funny.
Everyone who is funny is both generous and calm.
If someone is both creative and not happy then someone is not old and vice versa.
If someone is either not old or not creative then someone is not calm and vice versa.
Everyone who is humble is humble or ... | Alice is not kind. | contradiction | (![X]:((patient(X)|calm(X))=>(~strong(X)<~>~funny(X))))&
(![X]:(funny(X)=>(generous(X)&calm(X))))&
((?[X]:((creative(X)&~happy(X))))<=>(?[X]:(~old(X))))&
((?[X]:((~old(X)<~>~creative(X))))<=>(?[X]:(~calm(X))))&
(![X]:(humble(X)<=>(humble(X)|tall(X))))&
(![X]:((~curious(X)<~>~funny(X))=>(~brave(X)<~>old(X))))&
((calm(jo... | ~kind(alice) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5151884831188088691794520
% SZS output start Proof for 5151884831188088691794520
23. kind(alice) & calm(alice) [input p22]
25. ~kind(alice) [input hypothesis]
157. kind(alice) [cnf transformation 23]
160. ~kind(alice) [cnf transformation 25]
248. 20 <=> kind(alice) [avatar definition]
318... | 0 |
Everyone who is either strong or wise is either not generous or not creative and vice versa.
If alice is both kind and old then someone is not calm.
Everyone who is patient or not happy is not brave and vice versa.
Everyone who is both humble and not wise is both wise and humble and vice versa.
Everyone who is quiet or... | Susan is wise. | entailment | (![X]:((strong(X)<~>wise(X))<=>(~generous(X)<~>~creative(X))))&
(((kind(alice)&old(alice)))=>(?[X]:(~calm(X))))&
(![X]:((patient(X)|~happy(X))<=>~brave(X)))&
(![X]:((humble(X)&~wise(X))<=>(wise(X)&humble(X))))&
(![X]:((quiet(X)|creative(X))=>(funny(X)&humble(X))))&
(((~humble(susan)|old(susan)))<=>(?[X]:(~quiet(X))))&
... | wise(susan) | [
"p2",
"p3",
"p4",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 508362243286152579419092
% SZS output start Proof for 508362243286152579419092
3. ! [X0] : ((~happy(X0) | patient(X0)) <=> ~brave(X0)) [input p2]
4. ! [X0] : ((~wise(X0) & humble(X0)) <=> (humble(X0) & wise(X0))) [input p3]
5. ! [X0] : ((creative(X0) | quiet(X0)) => (humble(X0) & funny(X0... | 0 |
If someone is either kind or funny then someone is both not happy and not old. Everyone who is not calm is both not curious and curious. Everyone who is not humble is either not kind or not humble. Everyone who is quiet is both curious and tall. If someone is either humble or happy then someone is both kind and not fun... | Mary is not happy. | neutral | ((?[X]:((kind(X)<~>funny(X))))=>(?[X]:((~happy(X)&~old(X)))))&
(![X]:(~calm(X)=>(~curious(X)&curious(X))))&
(![X]:(~humble(X)=>(~kind(X)<~>~humble(X))))&
(![X]:(quiet(X)=>(curious(X)&tall(X))))&
((?[X]:((humble(X)<~>happy(X))))<=>(?[X]:((kind(X)&~funny(X)))))&
(![X]:((rich(X)<~>funny(X))=>(generous(X)|patient(X))))&
(!... | ~happy(mary) | [] | null | 0 |
Everyone who is both strong and humble is rich and vice versa.
If someone is either wise or rich then lucy is kind or not rich.
Everyone who is either creative or kind is either humble or not rich.
Everyone who is patient is not humble and vice versa.
If someone is either not patient or generous then someone is both no... | Lucy is not patient. | entailment | (![X]:((strong(X)&humble(X))<=>rich(X)))&
((?[X]:((wise(X)<~>rich(X))))=>((kind(lucy)|~rich(lucy))))&
(![X]:((creative(X)<~>kind(X))=>(humble(X)<~>~rich(X))))&
(![X]:(patient(X)<=>~humble(X)))&
((?[X]:((~patient(X)<~>generous(X))))=>(?[X]:((~wise(X)&funny(X)))))&
(![X]:(~humble(X)=>~tall(X)))&
(((creative(fred)|happy(f... | ~patient(lucy) | [
"p0",
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1029415789703362057277541
% SZS output start Proof for 1029415789703362057277541
1. ! [X0] : ((humble(X0) & strong(X0)) <=> rich(X0)) [input p0]
4. ! [X0] : (patient(X0) <=> ~humble(X0)) [input p3]
14. ! [X0] : ((calm(X0) | patient(X0)) => (rich(X0) & brave(X0))) [input p13]
25. patient(l... | 0 |
If someone is both not humble and calm then paul is both kind and not rich.
Everyone who is rich is not happy.
If someone is both not creative and tall then susan is tall and vice versa.
Everyone who is both not calm and not old is patient and vice versa.
Everyone who is both patient and not curious is either happy or ... | Alice is old. | contradiction | ((?[X]:((~humble(X)&calm(X))))=>((kind(paul)&~rich(paul))))&
(![X]:(rich(X)=>~happy(X)))&
((?[X]:((~creative(X)&tall(X))))<=>(tall(susan)))&
(![X]:((~calm(X)&~old(X))<=>patient(X)))&
(![X]:((patient(X)&~curious(X))<=>(happy(X)<~>~quiet(X))))&
((?[X]:((funny(X)|quiet(X))))<=>(?[X]:((rich(X)&creative(X)))))&
(![X]:(~pati... | old(alice) | [
"p3",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1569734625550210468226781
% SZS output start Proof for 1569734625550210468226781
4. ! [X0] : ((~old(X0) & ~calm(X0)) <=> patient(X0)) [input p3]
7. ! [X0] : (~patient(X0) => (~strong(X0) <~> ~creative(X0))) [input p6]
9. ! [X0] : (strong(X0) <=> (~kind(X0) | ~old(X0))) [input p8]
13. ! [X... | 0 |
Everyone who is brave or not generous is happy. Everyone who is either not brave or not humble is both not rich and wise and vice versa. If lucy is not humble or strong then fred is both not brave and strong and vice versa. If someone is not strong then someone is either not humble or not calm and vice versa. Everyone ... | Fred is curious. | neutral | (![X]:((brave(X)|~generous(X))=>happy(X)))&
(![X]:((~brave(X)<~>~humble(X))<=>(~rich(X)&wise(X))))&
(((~humble(lucy)|strong(lucy)))<=>((~brave(fred)&strong(fred))))&
((?[X]:(~strong(X)))<=>(?[X]:((~humble(X)<~>~calm(X)))))&
(![X]:((humble(X)|~old(X))=>(~curious(X)&calm(X))))&
(![X]:(happy(X)<=>(humble(X)&calm(X))))&
(!... | curious(fred) | [] | null | 0 |
Everyone who is patient or kind is either not patient or generous and vice versa.
Everyone who is not humble is curious or creative and vice versa.
If mary is both not wise and generous then susan is not kind.
Everyone who is not wise or kind is not humble and vice versa.
Everyone who is either curious or not generous ... | Lucy is not brave. | entailment | (![X]:((patient(X)|kind(X))<=>(~patient(X)<~>generous(X))))&
(![X]:(~humble(X)<=>(curious(X)|creative(X))))&
(((~wise(mary)&generous(mary)))=>(~kind(susan)))&
(![X]:((~wise(X)|kind(X))<=>~humble(X)))&
(![X]:((curious(X)<~>~generous(X))=>~tall(X)))&
(![X]:((wise(X)&~happy(X))=>~funny(X)))&
(![X]:((patient(X)&~funny(X))=... | ~brave(lucy) | [
"p1",
"p3",
"p7",
"p10",
"p12",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2456519200338250642284939
% SZS output start Proof for 2456519200338250642284939
2. ! [X0] : (~humble(X0) <=> (creative(X0) | curious(X0))) [input p1]
4. ! [X0] : ((kind(X0) | ~wise(X0)) <=> ~humble(X0)) [input p3]
8. (~patient(john) & patient(john)) <=> ? [X0] : wise(X0) [input p7]
11. !... | 0 |
If alice is not creative or not funny then someone is either not brave or not quiet and vice versa.
If alice is not patient or patient then someone is either old or quiet.
Everyone who is either humble or not humble is both generous and wise.
If someone is creative then fred is both wise and not brave and vice versa.
I... | Fred is humble. | entailment | (((~creative(alice)|~funny(alice)))<=>(?[X]:((~brave(X)<~>~quiet(X)))))&
(((~patient(alice)|patient(alice)))=>(?[X]:((old(X)<~>quiet(X)))))&
(![X]:((humble(X)<~>~humble(X))=>(generous(X)&wise(X))))&
((?[X]:(creative(X)))<=>((wise(fred)&~brave(fred))))&
(((calm(alice)|~quiet(alice)))<=>((happy(lucy)&curious(lucy))))&
((... | humble(fred) | [
"p2",
"p5",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3316038725128944217575071
% SZS output start Proof for 3316038725128944217575071
3. ! [X0] : ((humble(X0) <~> ~humble(X0)) => (wise(X0) & generous(X0))) [input p2]
6. ? [X0] : tall(X0) => ? [X0] : (~generous(X0) & patient(X0)) [input p5]
13. ! [X0] : (humble(X0) <=> (~kind(X0) <~> tall(X0... | 0 |
If someone is not calm then fred is not curious or strong and vice versa.
If john is both old and rich then someone is both not wise and not kind.
Everyone who is not brave is either not patient or tall and vice versa.
Everyone who is not strong is either rich or not old and vice versa.
If john is both not curious and ... | John is funny. | contradiction | ((?[X]:(~calm(X)))<=>((~curious(fred)|strong(fred))))&
(((old(john)&rich(john)))=>(?[X]:((~wise(X)&~kind(X)))))&
(![X]:(~brave(X)<=>(~patient(X)<~>tall(X))))&
(![X]:(~strong(X)<=>(rich(X)<~>~old(X))))&
(((~curious(john)&~humble(john)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)|~creative(X))=>(~calm(X)<~>~happy(X))))&... | funny(john) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3807295936071428487139672
% SZS output start Proof for 3807295936071428487139672
10. ! [X0] : ((~generous(X0) | ~rich(X0)) => (generous(X0) & ~calm(X0))) [input p9]
13. ! [X0] : ((generous(X0) | ~brave(X0)) <=> (~funny(X0) & ~wise(X0))) [input p12]
21. funny(john) [input hypothesis]
31. !... | 0 |
If someone is both not creative and not happy then lucy is either not strong or funny.
Everyone who is curious or patient is either not rich or not funny.
Everyone who is either calm or generous is not tall or not strong.
Everyone who is old or not rich is both wise and generous.
Everyone who is not quiet is creative o... | Lucy is humble. | neutral | ((?[X]:((~creative(X)&~happy(X))))=>((~strong(lucy)<~>funny(lucy))))&
(![X]:((curious(X)|patient(X))=>(~rich(X)<~>~funny(X))))&
(![X]:((calm(X)<~>generous(X))=>(~tall(X)|~strong(X))))&
(![X]:((old(X)|~rich(X))=>(wise(X)&generous(X))))&
(![X]:(~quiet(X)<=>(creative(X)|wise(X))))&
(((generous(mary)&~brave(mary)))=>((~qui... | humble(lucy) | [] | null | 0 |
Everyone who is rich is brave.
Everyone who is either old or kind is both happy and generous.
If someone is wise then fred is both not generous and not strong and vice versa.
If paul is either not patient or generous then susan is not generous or not old.
If someone is funny or old then someone is wise.
Everyone who is... | Fred is rich. | contradiction | (![X]:(rich(X)=>brave(X)))&
(![X]:((old(X)<~>kind(X))=>(happy(X)&generous(X))))&
((?[X]:(wise(X)))<=>((~generous(fred)&~strong(fred))))&
(((~patient(paul)<~>generous(paul)))=>((~generous(susan)|~old(susan))))&
((?[X]:((funny(X)|old(X))))=>(?[X]:(wise(X))))&
(![X]:((tall(X)<~>~humble(X))=>(rich(X)|curious(X))))&
(((pati... | rich(fred) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4852949728029901019625502
% SZS output start Proof for 4852949728029901019625502
1. ! [X0] : (rich(X0) => brave(X0)) [input p0]
9. ! [X0] : ((~funny(X0) & ~brave(X0)) <=> (creative(X0) <~> ~creative(X0))) [input p8]
25. rich(fred) [input hypothesis]
29. ! [X0] : (brave(X0) | ~rich(X0)) [e... | 0 |
If someone is both not generous and calm then alice is generous or brave.
Everyone who is both wise and not patient is kind or tall and vice versa.
Everyone who is strong or funny is not patient or not quiet.
Everyone who is either funny or not humble is either not generous or not tall.
Everyone who is rich or not old ... | Susan is old. | neutral | ((?[X]:((~generous(X)&calm(X))))=>((generous(alice)|brave(alice))))&
(![X]:((wise(X)&~patient(X))<=>(kind(X)|tall(X))))&
(![X]:((strong(X)|funny(X))=>(~patient(X)|~quiet(X))))&
(![X]:((funny(X)<~>~humble(X))=>(~generous(X)<~>~tall(X))))&
(![X]:((rich(X)|~old(X))=>(~happy(X)&tall(X))))&
(![X]:(funny(X)<=>(~kind(X)|quiet... | old(susan) | [] | null | 0 |
Everyone who is both brave and patient is calm and vice versa. Everyone who is not calm is either not wise or generous. If susan is patient then someone is both kind and creative and vice versa. Everyone who is both not strong and tall is either generous or wise. Everyone who is both humble and curious is both not kind... | Mary is not tall. | neutral | (![X]:((brave(X)&patient(X))<=>calm(X)))&
(![X]:(~calm(X)=>(~wise(X)<~>generous(X))))&
((patient(susan))<=>(?[X]:((kind(X)&creative(X)))))&
(![X]:((~strong(X)&tall(X))=>(generous(X)<~>wise(X))))&
(![X]:((humble(X)&curious(X))=>(~kind(X)&funny(X))))&
(![X]:((creative(X)<~>patient(X))<=>(patient(X)&~funny(X))))&
(((~stro... | ~tall(mary) | [] | null | 0 |
Everyone who is both not kind and old is humble or not generous and vice versa.
If someone is not funny or not brave then someone is calm or not tall.
If john is both not brave and kind then someone is not patient or not generous and vice versa.
If lucy is either brave or not humble then someone is either tall or not c... | Mary is tall. | neutral | (![X]:((~kind(X)&old(X))<=>(humble(X)|~generous(X))))&
((?[X]:((~funny(X)|~brave(X))))=>(?[X]:((calm(X)|~tall(X)))))&
(((~brave(john)&kind(john)))<=>(?[X]:((~patient(X)|~generous(X)))))&
(((brave(lucy)<~>~humble(lucy)))=>(?[X]:((tall(X)<~>~curious(X)))))&
(![X]:(quiet(X)=>(rich(X)<~>~old(X))))&
((?[X]:((kind(X)|~patien... | tall(mary) | [] | null | 0 |
Everyone who is both not happy and not patient is not kind. Everyone who is not kind or not quiet is not curious or kind and vice versa. If susan is both not happy and quiet then someone is kind and vice versa. If someone is either funny or not brave then fred is both happy and not kind and vice versa. Everyone who is ... | Mary is happy. | contradiction | (![X]:((~happy(X)&~patient(X))=>~kind(X)))&
(![X]:((~kind(X)|~quiet(X))<=>(~curious(X)|kind(X))))&
(((~happy(susan)&quiet(susan)))<=>(?[X]:(kind(X))))&
((?[X]:((funny(X)<~>~brave(X))))<=>((happy(fred)&~kind(fred))))&
(![X]:((~quiet(X)|~patient(X))=>(creative(X)|happy(X))))&
(((~brave(alice)&patient(alice)))=>((~funny(p... | happy(mary) | [
"p1",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6778029872907025103220
% SZS output start Proof for 6778029872907025103220
2. ! [X0] : ((~quiet(X0) | ~kind(X0)) <=> (kind(X0) | ~curious(X0))) [input p1]
14. ? [X0] : (~strong(X0) | happy(X0)) => (old(mary) & quiet(mary)) [input p13]
16. ! [X0] : ((~funny(X0) | happy(X0)) => curious(X0))... | 0 |
Everyone who is either not generous or happy is not patient.
Everyone who is both not patient and tall is either quiet or strong.
If someone is both not strong and not patient then john is not kind and vice versa.
Everyone who is not rich or calm is rich.
If someone is either humble or not funny then someone is not gen... | Paul is not kind. | neutral | (![X]:((~generous(X)<~>happy(X))=>~patient(X)))&
(![X]:((~patient(X)&tall(X))=>(quiet(X)<~>strong(X))))&
((?[X]:((~strong(X)&~patient(X))))<=>(~kind(john)))&
(![X]:((~rich(X)|calm(X))=>rich(X)))&
((?[X]:((humble(X)<~>~funny(X))))<=>(?[X]:((~generous(X)|~wise(X)))))&
(![X]:((~generous(X)|old(X))=>(rich(X)|wise(X))))&
((... | ~kind(paul) | [] | null | 0 |
Everyone who is either patient or not humble is not kind or not creative and vice versa.
Everyone who is either not rich or not generous is both not kind and not brave.
If john is old or calm then someone is not strong or curious and vice versa.
If someone is strong or wise then fred is not tall or not patient and vice... | Alice is old. | neutral | (![X]:((patient(X)<~>~humble(X))<=>(~kind(X)|~creative(X))))&
(![X]:((~rich(X)<~>~generous(X))=>(~kind(X)&~brave(X))))&
(((old(john)|calm(john)))<=>(?[X]:((~strong(X)|curious(X)))))&
((?[X]:((strong(X)|wise(X))))<=>((~tall(fred)|~patient(fred))))&
((?[X]:((funny(X)|quiet(X))))<=>(~calm(mary)))&
(![X]:((kind(X)<~>~wise(... | old(alice) | [] | null | 0 |
Everyone who is both creative and calm is creative. Everyone who is wise is humble and vice versa. If someone is both not strong and old then someone is either not rich or rich. If susan is brave or not patient then someone is either not old or curious. If someone is either not old or not wise then someone is wise. Eve... | Paul is wise. | neutral | (![X]:((creative(X)&calm(X))=>creative(X)))&
(![X]:(wise(X)<=>humble(X)))&
((?[X]:((~strong(X)&old(X))))=>(?[X]:((~rich(X)<~>rich(X)))))&
(((brave(susan)|~patient(susan)))=>(?[X]:((~old(X)<~>curious(X)))))&
((?[X]:((~old(X)<~>~wise(X))))=>(?[X]:(wise(X))))&
(![X]:((wise(X)&calm(X))=>(~kind(X)|happy(X))))&
(![X]:((~curi... | wise(paul) | [] | null | 0 |
If mary is both not old and not quiet then susan is either funny or tall.
Everyone who is both not patient and kind is not funny or rich and vice versa.
Everyone who is either tall or old is both quiet and not tall and vice versa.
If someone is either not creative or not tall then mary is either tall or not humble.
If ... | Paul is not kind. | contradiction | (((~old(mary)&~quiet(mary)))=>((funny(susan)<~>tall(susan))))&
(![X]:((~patient(X)&kind(X))<=>(~funny(X)|rich(X))))&
(![X]:((tall(X)<~>old(X))<=>(quiet(X)&~tall(X))))&
((?[X]:((~creative(X)<~>~tall(X))))=>((tall(mary)<~>~humble(mary))))&
((?[X]:(strong(X)))<=>(?[X]:((creative(X)<~>~strong(X)))))&
((?[X]:(wise(X)))<=>(?... | ~kind(paul) | [
"p1",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7137474488170294469682457
% SZS output start Proof for 7137474488170294469682457
2. ! [X0] : ((kind(X0) & ~patient(X0)) <=> (rich(X0) | ~funny(X0))) [input p1]
13. ! [X0] : ((calm(X0) | ~rich(X0)) <=> (~wise(X0) <~> kind(X0))) [input p12]
18. wise(paul) [input p17]
25. ~kind(paul) [input ... | 0 |
If fred is either rich or kind then someone is both not wise and not humble and vice versa. Everyone who is either not rich or not kind is wise. If someone is both not patient and not calm then someone is both not generous and not strong and vice versa. If someone is both curious and patient then someone is not curious... | Alice is happy. | contradiction | (((rich(fred)<~>kind(fred)))<=>(?[X]:((~wise(X)&~humble(X)))))&
(![X]:((~rich(X)<~>~kind(X))=>wise(X)))&
((?[X]:((~patient(X)&~calm(X))))<=>(?[X]:((~generous(X)&~strong(X)))))&
((?[X]:((curious(X)&patient(X))))=>(?[X]:(~curious(X))))&
(![X]:(~tall(X)<=>(curious(X)&~calm(X))))&
((?[X]:((quiet(X)|strong(X))))<=>(?[X]:(~t... | happy(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1353028942598001802773525
% SZS output start Proof for 1353028942598001802773525
8. ! [X0] : ((~strong(X0) & ~happy(X0)) <=> happy(X0)) [input p7]
23. happy(alice) [input hypothesis]
60. ! [X0] : (((~strong(X0) & ~happy(X0)) | ~happy(X0)) & (happy(X0) | (strong(X0) | happy(X0)))) [nnf tra... | 0 |
Everyone who is old is strong. Everyone who is not rich or not curious is both not kind and generous and vice versa. Everyone who is either not funny or not patient is both kind and old. If someone is either not happy or not old then someone is not curious or rich. If someone is not tall then alice is not curious or no... | Lucy is patient. | contradiction | (![X]:(old(X)=>strong(X)))&
(![X]:((~rich(X)|~curious(X))<=>(~kind(X)&generous(X))))&
(![X]:((~funny(X)<~>~patient(X))=>(kind(X)&old(X))))&
((?[X]:((~happy(X)<~>~old(X))))=>(?[X]:((~curious(X)|rich(X)))))&
((?[X]:(~tall(X)))=>((~curious(alice)|~patient(alice))))&
(((strong(lucy)&~creative(lucy)))<=>(?[X]:((~rich(X)|fun... | patient(lucy) | [
"p2",
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 54474267783306944315388
% SZS output start Proof for 54474267783306944315388
3. ! [X0] : ((~funny(X0) <~> ~patient(X0)) => (old(X0) & kind(X0))) [input p2]
6. (~creative(lucy) & strong(lucy)) <=> ? [X0] : (funny(X0) | ~rich(X0)) [input p5]
8. ! [X0] : ((creative(X0) | funny(X0)) => (~crea... | 0 |
If alice is wise then lucy is both not happy and not quiet.
Everyone who is both quiet and rich is rich or generous.
Everyone who is either generous or not curious is not tall or not strong and vice versa.
Everyone who is patient or not happy is either generous or not wise and vice versa.
Everyone who is brave is eithe... | Paul is not creative. | neutral | ((wise(alice))=>((~happy(lucy)&~quiet(lucy))))&
(![X]:((quiet(X)&rich(X))=>(rich(X)|generous(X))))&
(![X]:((generous(X)<~>~curious(X))<=>(~tall(X)|~strong(X))))&
(![X]:((patient(X)|~happy(X))<=>(generous(X)<~>~wise(X))))&
(![X]:(brave(X)=>(generous(X)<~>~wise(X))))&
(![X]:((creative(X)&~brave(X))<=>(~brave(X)&wise(X)))... | ~creative(paul) | [] | null | 0 |
Everyone who is both creative and not patient is not kind and vice versa. Everyone who is both old and not generous is brave. If john is not old or generous then paul is not generous or creative. Everyone who is either patient or not curious is kind or not brave. If someone is not tall or not generous then susan is tal... | Paul is not generous. | neutral | (![X]:((creative(X)&~patient(X))<=>~kind(X)))&
(![X]:((old(X)&~generous(X))=>brave(X)))&
(((~old(john)|generous(john)))=>((~generous(paul)|creative(paul))))&
(![X]:((patient(X)<~>~curious(X))=>(kind(X)|~brave(X))))&
((?[X]:((~tall(X)|~generous(X))))<=>(tall(susan)))&
((~brave(alice))=>(?[X]:((~funny(X)<~>~calm(X)))))&
... | ~generous(paul) | [] | null | 0 |
If someone is not tall or generous then someone is both not tall and not rich and vice versa. Everyone who is both creative and not old is generous and vice versa. Everyone who is either not happy or quiet is patient or wise and vice versa. Everyone who is both kind and not funny is both not rich and strong. Everyone w... | Lucy is not calm. | contradiction | ((?[X]:((~tall(X)|generous(X))))<=>(?[X]:((~tall(X)&~rich(X)))))&
(![X]:((creative(X)&~old(X))<=>generous(X)))&
(![X]:((~happy(X)<~>quiet(X))<=>(patient(X)|wise(X))))&
(![X]:((kind(X)&~funny(X))=>(~rich(X)&strong(X))))&
(![X]:(~creative(X)=>(calm(X)<~>happy(X))))&
(((kind(alice)<~>creative(alice)))=>(?[X]:((~old(X)<~>~... | ~calm(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 827490306751787584334626
% SZS output start Proof for 827490306751787584334626
18. calm(lucy) & ~curious(lucy) [input p17]
24. ~calm(lucy) [input hypothesis]
28. calm(lucy) [pure predicate removal 18]
131. calm(lucy) [cnf transformation 28]
139. ~calm(lucy) [cnf transformation 24]
291. $f... | 0 |
If paul is either humble or brave then someone is not tall and vice versa.
If someone is not rich then someone is either not humble or kind.
If someone is not quiet or not curious then fred is kind or humble and vice versa.
Everyone who is either quiet or not rich is not strong or not quiet and vice versa.
If susan is ... | Paul is not funny. | contradiction | (((humble(paul)<~>brave(paul)))<=>(?[X]:(~tall(X))))&
((?[X]:(~rich(X)))=>(?[X]:((~humble(X)<~>kind(X)))))&
((?[X]:((~quiet(X)|~curious(X))))<=>((kind(fred)|humble(fred))))&
(![X]:((quiet(X)<~>~rich(X))<=>(~strong(X)|~quiet(X))))&
(((~funny(susan)&humble(susan)))=>((wise(john)<~>happy(john))))&
(![X]:((~generous(X)&~hu... | ~funny(paul) | [
"p1",
"p5",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6975149380715249638629516
% SZS output start Proof for 6975149380715249638629516
2. ? [X0] : ~rich(X0) => ? [X0] : (~humble(X0) <~> kind(X0)) [input p1]
6. ! [X0] : ((~humble(X0) & ~generous(X0)) <=> (kind(X0) | curious(X0))) [input p5]
7. ! [X0] : ((funny(X0) <~> curious(X0)) <=> (~wise(... | 0 |
Everyone who is either old or not rich is both happy and brave and vice versa. Everyone who is not funny or not calm is either patient or kind and vice versa. Everyone who is not brave is either brave or not happy. Everyone who is both not rich and not happy is wise. If someone is either not happy or brave then someone... | Susan is not old. | contradiction | (![X]:((old(X)<~>~rich(X))<=>(happy(X)&brave(X))))&
(![X]:((~funny(X)|~calm(X))<=>(patient(X)<~>kind(X))))&
(![X]:(~brave(X)=>(brave(X)<~>~happy(X))))&
(![X]:((~rich(X)&~happy(X))=>wise(X)))&
((?[X]:((~happy(X)<~>brave(X))))<=>(?[X]:((happy(X)|~wise(X)))))&
(((calm(fred)|~kind(fred)))<=>(?[X]:(patient(X))))&
(![X]:((ca... | ~old(susan) | [
"p0",
"p1",
"p2",
"p3",
"p7",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6276991120553712058723334
% SZS output start Proof for 6276991120553712058723334
1. ! [X0] : ((old(X0) <~> ~rich(X0)) <=> (brave(X0) & happy(X0))) [input p0]
2. ! [X0] : ((~calm(X0) | ~funny(X0)) <=> (patient(X0) <~> kind(X0))) [input p1]
3. ! [X0] : (~brave(X0) => (brave(X0) <~> ~happy(X... | 0 |
Everyone who is both not funny and rich is either not humble or kind and vice versa.
Everyone who is not creative is not strong and vice versa.
Everyone who is old or not generous is both strong and not happy.
Everyone who is both not quiet and wise is happy and vice versa.
Everyone who is both patient and not creative... | Susan is not generous. | contradiction | (![X]:((~funny(X)&rich(X))<=>(~humble(X)<~>kind(X))))&
(![X]:(~creative(X)<=>~strong(X)))&
(![X]:((old(X)|~generous(X))=>(strong(X)&~happy(X))))&
(![X]:((~quiet(X)&wise(X))<=>happy(X)))&
(![X]:((patient(X)&~creative(X))<=>(~generous(X)|kind(X))))&
(![X]:((~funny(X)|brave(X))<=>(~humble(X)|~patient(X))))&
(![X]:((patien... | ~generous(susan) | [
"p1",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6149923607712802751393100
% SZS output start Proof for 6149923607712802751393100
2. ! [X0] : (~creative(X0) <=> ~strong(X0)) [input p1]
3. ! [X0] : ((~generous(X0) | old(X0)) => (~happy(X0) & strong(X0))) [input p2]
5. ! [X0] : ((~creative(X0) & patient(X0)) <=> (kind(X0) | ~generous(X0))... | 0 |
If someone is not curious or creative then susan is not generous and vice versa.
Everyone who is not kind or strong is both not generous and not calm and vice versa.
Everyone who is both funny and not strong is both not funny and not kind.
If someone is either patient or not humble then alice is either creative or calm... | Fred is not brave. | entailment | ((?[X]:((~curious(X)|creative(X))))<=>(~generous(susan)))&
(![X]:((~kind(X)|strong(X))<=>(~generous(X)&~calm(X))))&
(![X]:((funny(X)&~strong(X))=>(~funny(X)&~kind(X))))&
((?[X]:((patient(X)<~>~humble(X))))<=>((creative(alice)<~>calm(alice))))&
(((~happy(fred)<~>strong(fred)))<=>(?[X]:((rich(X)&~creative(X)))))&
(![X]:(... | ~brave(fred) | [
"p1",
"p5",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9140799228298131389403940
% SZS output start Proof for 9140799228298131389403940
2. ! [X0] : ((strong(X0) | ~kind(X0)) <=> (~calm(X0) & ~generous(X0))) [input p1]
6. ! [X0] : ((~tall(X0) | tall(X0)) <=> old(X0)) [input p5]
8. ! [X0] : (calm(X0) <=> (generous(X0) | old(X0))) [input p7]
23.... | 0 |
If someone is not creative then mary is either calm or brave. Everyone who is either happy or strong is both rich and not generous and vice versa. Everyone who is either funny or not curious is generous or patient. If someone is both kind and happy then fred is not generous and vice versa. Everyone who is both not tall... | Fred is not curious. | neutral | ((?[X]:(~creative(X)))=>((calm(mary)<~>brave(mary))))&
(![X]:((happy(X)<~>strong(X))<=>(rich(X)&~generous(X))))&
(![X]:((funny(X)<~>~curious(X))=>(generous(X)|patient(X))))&
((?[X]:((kind(X)&happy(X))))<=>(~generous(fred)))&
(![X]:((~tall(X)&~humble(X))<=>(brave(X)<~>~humble(X))))&
(![X]:((~wise(X)|~quiet(X))=>kind(X))... | ~curious(fred) | [] | null | 0 |
Everyone who is both brave and not brave is both not kind and kind.
If someone is either calm or tall then someone is funny and vice versa.
Everyone who is not calm or quiet is both not wise and not generous.
If susan is not calm then someone is both not humble and not rich.
Everyone who is both not patient and not hum... | Fred is patient. | entailment | (![X]:((brave(X)&~brave(X))=>(~kind(X)&kind(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)|quiet(X))=>(~wise(X)&~generous(X))))&
((~calm(susan))=>(?[X]:((~humble(X)&~rich(X)))))&
(![X]:((~patient(X)&~humble(X))=>(~old(X)|curious(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brave(X)))... | patient(fred) | [
"p2",
"p5",
"p6",
"p8",
"p9",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4231113246048610565232994
% SZS output start Proof for 4231113246048610565232994
3. ! [X0] : ((quiet(X0) | ~calm(X0)) => (~generous(X0) & ~wise(X0))) [input p2]
6. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p5]
7. ! [X0] : (~strong(X0) <=> (~calm(X0) | kin... | 0 |
Everyone who is not brave or rich is not calm or not rich and vice versa. Everyone who is either not humble or not strong is either not calm or not rich. If mary is both old and generous then paul is not funny or wise. Everyone who is happy is wise and vice versa. Everyone who is either quiet or not generous is not gen... | Paul is not rich. | contradiction | (![X]:((~brave(X)|rich(X))<=>(~calm(X)|~rich(X))))&
(![X]:((~humble(X)<~>~strong(X))=>(~calm(X)<~>~rich(X))))&
(((old(mary)&generous(mary)))=>((~funny(paul)|wise(paul))))&
(![X]:(happy(X)<=>wise(X)))&
(![X]:((quiet(X)<~>~generous(X))=>~generous(X)))&
(![X]:((~happy(X)&~curious(X))<=>(~patient(X)<~>~old(X))))&
((~strong... | ~rich(paul) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6712075159155645793813450
% SZS output start Proof for 6712075159155645793813450
1. ! [X0] : ((rich(X0) | ~brave(X0)) <=> (~rich(X0) | ~calm(X0))) [input p0]
16. ! [X0] : ((old(X0) | ~old(X0)) => (~creative(X0) & brave(X0))) [input p15]
21. ~rich(paul) [input hypothesis]
31. ! [X0] : ((~c... | 0 |
Everyone who is wise or creative is either happy or not brave and vice versa.
Everyone who is either not humble or curious is kind and vice versa.
Everyone who is either not curious or strong is not creative and vice versa.
If john is creative or not patient then alice is either calm or not brave and vice versa.
If som... | Mary is curious. | neutral | (![X]:((wise(X)|creative(X))<=>(happy(X)<~>~brave(X))))&
(![X]:((~humble(X)<~>curious(X))<=>kind(X)))&
(![X]:((~curious(X)<~>strong(X))<=>~creative(X)))&
(((creative(john)|~patient(john)))<=>((calm(alice)<~>~brave(alice))))&
((?[X]:((strong(X)<~>~old(X))))<=>((~humble(alice)&brave(alice))))&
(((~generous(john)&~humble(... | curious(mary) | [] | null | 0 |
Everyone who is either quiet or kind is not quiet and vice versa.
Everyone who is kind or not generous is either funny or patient and vice versa.
Everyone who is not humble or not curious is not generous or brave and vice versa.
If lucy is brave then alice is both not curious and funny and vice versa.
Everyone who is n... | Fred is not happy. | neutral | (![X]:((quiet(X)<~>kind(X))<=>~quiet(X)))&
(![X]:((kind(X)|~generous(X))<=>(funny(X)<~>patient(X))))&
(![X]:((~humble(X)|~curious(X))<=>(~generous(X)|brave(X))))&
((brave(lucy))<=>((~curious(alice)&funny(alice))))&
(![X]:(~funny(X)<=>(~calm(X)&tall(X))))&
(![X]:(~rich(X)=>(~quiet(X)<~>~wise(X))))&
(![X]:((happy(X)&~kin... | ~happy(fred) | [] | null | 0 |
Everyone who is not humble or brave is not quiet or not humble.
If paul is both not generous and rich then john is either not kind or calm.
Everyone who is not calm is wise or creative and vice versa.
If someone is either not patient or not kind then fred is tall.
Everyone who is both humble and kind is both not funny ... | Fred is not quiet. | neutral | (![X]:((~humble(X)|brave(X))=>(~quiet(X)|~humble(X))))&
(((~generous(paul)&rich(paul)))=>((~kind(john)<~>calm(john))))&
(![X]:(~calm(X)<=>(wise(X)|creative(X))))&
((?[X]:((~patient(X)<~>~kind(X))))=>(tall(fred)))&
(![X]:((humble(X)&kind(X))<=>(~funny(X)&tall(X))))&
(![X]:((old(X)&~old(X))<=>(rich(X)&funny(X))))&
((?[X]... | ~quiet(fred) | [] | null | 0 |
Everyone who is either not wise or humble is both not wise and wise. Everyone who is not calm or not funny is not happy or old and vice versa. If someone is both not funny and not kind then someone is either not generous or not funny. Everyone who is both not rich and not wise is either wise or not happy and vice versa... | Alice is not patient. | neutral | (![X]:((~wise(X)<~>humble(X))=>(~wise(X)&wise(X))))&
(![X]:((~calm(X)|~funny(X))<=>(~happy(X)|old(X))))&
((?[X]:((~funny(X)&~kind(X))))=>(?[X]:((~generous(X)<~>~funny(X)))))&
(![X]:((~rich(X)&~wise(X))<=>(wise(X)<~>~happy(X))))&
(((~tall(fred)|~happy(fred)))=>(~patient(john)))&
(![X]:((happy(X)|curious(X))<=>(curious(X... | ~patient(alice) | [] | null | 0 |
Everyone who is either not humble or curious is humble and vice versa.
Everyone who is either quiet or kind is calm.
Everyone who is either curious or not happy is either calm or not quiet and vice versa.
If someone is wise or humble then mary is both rich and not happy and vice versa.
If paul is both funny and humble ... | Paul is not generous. | neutral | (![X]:((~humble(X)<~>curious(X))<=>humble(X)))&
(![X]:((quiet(X)<~>kind(X))=>calm(X)))&
(![X]:((curious(X)<~>~happy(X))<=>(calm(X)<~>~quiet(X))))&
((?[X]:((wise(X)|humble(X))))<=>((rich(mary)&~happy(mary))))&
(((funny(paul)&humble(paul)))=>(?[X]:((~tall(X)|creative(X)))))&
(![X]:((rich(X)<~>~brave(X))<=>(quiet(X)|humbl... | ~generous(paul) | [] | null | 0 |
If someone is calm or generous then fred is either not curious or not creative. If fred is not patient or wise then someone is either curious or not tall. If susan is either not brave or happy then someone is not funny or old and vice versa. If someone is either curious or patient then someone is both curious and not p... | Paul is not quiet. | entailment | ((?[X]:((calm(X)|generous(X))))=>((~curious(fred)<~>~creative(fred))))&
(((~patient(fred)|wise(fred)))=>(?[X]:((curious(X)<~>~tall(X)))))&
(((~brave(susan)<~>happy(susan)))<=>(?[X]:((~funny(X)|old(X)))))&
((?[X]:((curious(X)<~>patient(X))))=>(?[X]:((curious(X)&~patient(X)))))&
(![X]:((quiet(X)|~tall(X))=>(kind(X)<~>cal... | ~quiet(paul) | [
"p4",
"p7",
"p8",
"p10",
"p11",
"p12",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 436456906712879370345573
% SZS output start Proof for 436456906712879370345573
5. ! [X0] : ((~tall(X0) | quiet(X0)) => (kind(X0) <~> calm(X0))) [input p4]
8. ! [X0] : ((kind(X0) | ~strong(X0)) => funny(X0)) [input p7]
9. ! [X0] : ((kind(X0) & generous(X0)) <=> (~old(X0) | brave(X0))) [inp... | 0 |
If mary is tall or brave then mary is happy or not strong.
Everyone who is not rich is not patient or funny and vice versa.
If john is calm then alice is both not tall and tall.
Everyone who is both not old and not generous is both old and not creative and vice versa.
Everyone who is brave is wise and vice versa.
Every... | Fred is brave. | entailment | (((tall(mary)|brave(mary)))=>((happy(mary)|~strong(mary))))&
(![X]:(~rich(X)<=>(~patient(X)|funny(X))))&
((calm(john))=>((~tall(alice)&tall(alice))))&
(![X]:((~old(X)&~generous(X))<=>(old(X)&~creative(X))))&
(![X]:(brave(X)<=>wise(X)))&
(![X]:((~calm(X)&~funny(X))=>(curious(X)|calm(X))))&
((~happy(paul))=>((~strong(sus... | brave(fred) | [
"p3",
"p11",
"p13",
"p17",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7252102171525907656272973
% SZS output start Proof for 7252102171525907656272973
4. ! [X0] : ((~generous(X0) & ~old(X0)) <=> (~creative(X0) & old(X0))) [input p3]
12. ! [X0] : ((~strong(X0) | old(X0)) => (~humble(X0) | brave(X0))) [input p11]
14. ? [X0] : generous(X0) <=> (calm(fred) & ol... | 0 |
Everyone who is both funny and generous is patient or rich. Everyone who is both not strong and patient is not curious or curious. If someone is not rich or strong then someone is not generous or not happy and vice versa. Everyone who is not rich is not humble or curious. Everyone who is not calm or wise is wise. Every... | John is not humble. | neutral | (![X]:((funny(X)&generous(X))=>(patient(X)|rich(X))))&
(![X]:((~strong(X)&patient(X))=>(~curious(X)|curious(X))))&
((?[X]:((~rich(X)|strong(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(~rich(X)=>(~humble(X)|curious(X))))&
(![X]:((~calm(X)|wise(X))=>wise(X)))&
(![X]:((funny(X)&~creative(X))<=>(creative(X)|~tall(X)... | ~humble(john) | [] | null | 0 |
Everyone who is not rich is both not curious and not strong. If lucy is not brave or patient then someone is both calm and wise and vice versa. Everyone who is old is either not old or funny. Everyone who is patient or kind is not funny or calm and vice versa. Everyone who is both generous and not strong is either wise... | Alice is not calm. | neutral | (![X]:(~rich(X)=>(~curious(X)&~strong(X))))&
(((~brave(lucy)|patient(lucy)))<=>(?[X]:((calm(X)&wise(X)))))&
(![X]:(old(X)=>(~old(X)<~>funny(X))))&
(![X]:((patient(X)|kind(X))<=>(~funny(X)|calm(X))))&
(![X]:((generous(X)&~strong(X))<=>(wise(X)<~>brave(X))))&
(![X]:((humble(X)<~>~rich(X))<=>generous(X)))&
(![X]:((~kind(X... | ~calm(alice) | [] | null | 0 |
If someone is either generous or not curious then fred is both kind and not old.
If someone is either quiet or rich then fred is either not old or not generous.
Everyone who is both generous and patient is both kind and not creative.
Everyone who is old or patient is both humble and quiet and vice versa.
Everyone who i... | Fred is quiet. | contradiction | ((?[X]:((generous(X)<~>~curious(X))))=>((kind(fred)&~old(fred))))&
((?[X]:((quiet(X)<~>rich(X))))=>((~old(fred)<~>~generous(fred))))&
(![X]:((generous(X)&patient(X))=>(kind(X)&~creative(X))))&
(![X]:((old(X)|patient(X))<=>(humble(X)&quiet(X))))&
(![X]:(~patient(X)=>(~funny(X)|~curious(X))))&
(![X]:((~calm(X)<~>kind(X))... | quiet(fred) | [
"p0",
"p3",
"p4",
"p7",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8134117970979326647620605
% SZS output start Proof for 8134117970979326647620605
1. ? [X0] : (generous(X0) <~> ~curious(X0)) => (~old(fred) & kind(fred)) [input p0]
4. ! [X0] : ((patient(X0) | old(X0)) <=> (quiet(X0) & humble(X0))) [input p3]
5. ! [X0] : (~patient(X0) => (~curious(X0) | ~... | 0 |
Everyone who is generous is both strong and not rich and vice versa.
If someone is brave then someone is not curious and vice versa.
Everyone who is generous is either wise or creative.
Everyone who is generous is both patient and not generous.
Everyone who is either not brave or funny is both rich and happy.
If alice ... | Mary is old. | neutral | (![X]:(generous(X)<=>(strong(X)&~rich(X))))&
((?[X]:(brave(X)))<=>(?[X]:(~curious(X))))&
(![X]:(generous(X)=>(wise(X)<~>creative(X))))&
(![X]:(generous(X)=>(patient(X)&~generous(X))))&
(![X]:((~brave(X)<~>funny(X))=>(rich(X)&happy(X))))&
(((~old(alice)|calm(alice)))<=>(?[X]:((wise(X)&~curious(X)))))&
(![X]:(~strong(X)=... | old(mary) | [] | null | 0 |
Everyone who is either not kind or not happy is both not quiet and not generous.
Everyone who is not generous is curious.
If someone is strong or not rich then susan is both not generous and quiet and vice versa.
Everyone who is not humble or not old is either not kind or rich and vice versa.
Everyone who is not curiou... | Paul is not generous. | entailment | (![X]:((~kind(X)<~>~happy(X))=>(~quiet(X)&~generous(X))))&
(![X]:(~generous(X)=>curious(X)))&
((?[X]:((strong(X)|~rich(X))))<=>((~generous(susan)&quiet(susan))))&
(![X]:((~humble(X)|~old(X))<=>(~kind(X)<~>rich(X))))&
(![X]:(~curious(X)=>old(X)))&
((?[X]:((brave(X)|~rich(X))))<=>(~happy(alice)))&
((?[X]:((patient(X)&~ha... | ~generous(paul) | [
"p0",
"p3",
"p5",
"p9",
"p11",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8438986653159332302999962
% SZS output start Proof for 8438986653159332302999962
1. ! [X0] : ((~kind(X0) <~> ~happy(X0)) => (~generous(X0) & ~quiet(X0))) [input p0]
4. ! [X0] : ((~old(X0) | ~humble(X0)) <=> (~kind(X0) <~> rich(X0))) [input p3]
6. ? [X0] : (~rich(X0) | brave(X0)) <=> ~happ... | 0 |
Everyone who is quiet or curious is not strong or not patient and vice versa.
If someone is creative then someone is wise and vice versa.
If fred is not creative or not funny then someone is quiet.
Everyone who is either not wise or generous is either not curious or not rich and vice versa.
Everyone who is calm or not ... | Paul is not old. | neutral | (![X]:((quiet(X)|curious(X))<=>(~strong(X)|~patient(X))))&
((?[X]:(creative(X)))<=>(?[X]:(wise(X))))&
(((~creative(fred)|~funny(fred)))=>(?[X]:(quiet(X))))&
(![X]:((~wise(X)<~>generous(X))<=>(~curious(X)<~>~rich(X))))&
(![X]:((calm(X)|~patient(X))=>~kind(X)))&
(![X]:((~humble(X)&tall(X))=>(funny(X)<~>humble(X))))&
(![X... | ~old(paul) | [] | null | 0 |
If john is either not brave or not kind then someone is both tall and rich. Everyone who is not humble is either calm or kind and vice versa. Everyone who is not brave or funny is not quiet and vice versa. If someone is not rich or not calm then susan is strong. Everyone who is not old is kind or not calm. Everyone who... | Alice is not kind. | contradiction | (((~brave(john)<~>~kind(john)))=>(?[X]:((tall(X)&rich(X)))))&
(![X]:(~humble(X)<=>(calm(X)<~>kind(X))))&
(![X]:((~brave(X)|funny(X))<=>~quiet(X)))&
((?[X]:((~rich(X)|~calm(X))))=>(strong(susan)))&
(![X]:(~old(X)=>(kind(X)|~calm(X))))&
(![X]:((~curious(X)|~patient(X))<=>happy(X)))&
(((curious(susan)&~tall(susan)))<=>((h... | ~kind(alice) | [
"p1",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7886983022725040128344190
% SZS output start Proof for 7886983022725040128344190
2. ! [X0] : (~humble(X0) <=> (calm(X0) <~> kind(X0))) [input p1]
5. ! [X0] : (~old(X0) => (~calm(X0) | kind(X0))) [input p4]
13. ! [X0] : ((~strong(X0) | ~kind(X0)) <=> (calm(X0) & ~old(X0))) [input p12]
24. ... | 0 |
If susan is either rich or not rich then lucy is both humble and not calm and vice versa. If fred is both not tall and not rich then someone is both not funny and quiet. If someone is either not brave or brave then someone is both not happy and not curious and vice versa. If someone is not generous or not curious then ... | Lucy is brave. | neutral | (((rich(susan)<~>~rich(susan)))<=>((humble(lucy)&~calm(lucy))))&
(((~tall(fred)&~rich(fred)))=>(?[X]:((~funny(X)&quiet(X)))))&
((?[X]:((~brave(X)<~>brave(X))))<=>(?[X]:((~happy(X)&~curious(X)))))&
((?[X]:((~generous(X)|~curious(X))))=>(?[X]:(~creative(X))))&
(![X]:((~generous(X)|creative(X))=>(happy(X)|~humble(X))))&
(... | brave(lucy) | [] | null | 0 |
If someone is tall then john is not creative or not happy and vice versa.
Everyone who is either funny or happy is not wise and vice versa.
Everyone who is both quiet and curious is happy or tall and vice versa.
If john is wise then john is patient.
If someone is both brave and not curious then someone is either not st... | Alice is not old. | contradiction | ((?[X]:(tall(X)))<=>((~creative(john)|~happy(john))))&
(![X]:((funny(X)<~>happy(X))<=>~wise(X)))&
(![X]:((quiet(X)&curious(X))<=>(happy(X)|tall(X))))&
((wise(john))=>(patient(john)))&
((?[X]:((brave(X)&~curious(X))))<=>(?[X]:((~strong(X)<~>~humble(X)))))&
(![X]:((funny(X)|~patient(X))<=>(~brave(X)&creative(X))))&
(![X]... | ~old(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2868326381673008146270599
% SZS output start Proof for 2868326381673008146270599
7. ! [X0] : ((old(X0) & humble(X0)) <=> (happy(X0) <~> ~happy(X0))) [input p6]
24. ~old(alice) [input hypothesis]
49. ! [X0] : (((old(X0) & humble(X0)) | ((happy(X0) | happy(X0)) & (~happy(X0) | ~happy(X0))))... | 0 |
If someone is either not kind or not old then someone is not curious or happy.
Everyone who is both humble and not quiet is patient and vice versa.
Everyone who is both not patient and not happy is either creative or curious and vice versa.
If susan is either not patient or happy then someone is rich.
If someone is eit... | Paul is curious. | neutral | ((?[X]:((~kind(X)<~>~old(X))))=>(?[X]:((~curious(X)|happy(X)))))&
(![X]:((humble(X)&~quiet(X))<=>patient(X)))&
(![X]:((~patient(X)&~happy(X))<=>(creative(X)<~>curious(X))))&
(((~patient(susan)<~>happy(susan)))=>(?[X]:(rich(X))))&
((?[X]:((generous(X)<~>~strong(X))))<=>(kind(alice)))&
((?[X]:(kind(X)))=>((~creative(john... | curious(paul) | [] | null | 0 |
If someone is either brave or not happy then someone is wise or funny and vice versa.
If someone is not calm or strong then someone is brave and vice versa.
Everyone who is not curious or kind is not generous and vice versa.
If fred is not curious then someone is not generous and vice versa.
If someone is either wise o... | John is generous. | entailment | ((?[X]:((brave(X)<~>~happy(X))))<=>(?[X]:((wise(X)|funny(X)))))&
((?[X]:((~calm(X)|strong(X))))<=>(?[X]:(brave(X))))&
(![X]:((~curious(X)|kind(X))<=>~generous(X)))&
((~curious(fred))<=>(?[X]:(~generous(X))))&
((?[X]:((wise(X)<~>~patient(X))))=>((happy(fred)|calm(fred))))&
((~wise(susan))=>(kind(mary)))&
(![X]:((funny(X... | generous(john) | [
"p3",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5563530771091200832286955
% SZS output start Proof for 5563530771091200832286955
4. ~curious(fred) <=> ? [X0] : ~generous(X0) [input p3]
13. ! [X0] : ((~old(X0) | calm(X0)) => ~funny(X0)) [input p12]
14. ! [X0] : ((old(X0) <~> ~curious(X0)) <=> (old(X0) | patient(X0))) [input p13]
20. fun... | 0 |
Everyone who is not creative or curious is not curious.
If someone is funny then someone is not tall or not rich.
Everyone who is calm or not brave is either not wise or not strong.
If someone is funny or brave then someone is not humble or not generous.
If mary is both tall and not patient then someone is either old o... | Paul is not generous. | contradiction | (![X]:((~creative(X)|curious(X))=>~curious(X)))&
((?[X]:(funny(X)))=>(?[X]:((~tall(X)|~rich(X)))))&
(![X]:((calm(X)|~brave(X))=>(~wise(X)<~>~strong(X))))&
((?[X]:((funny(X)|brave(X))))=>(?[X]:((~humble(X)|~generous(X)))))&
(((tall(mary)&~patient(mary)))=>(?[X]:((old(X)<~>~funny(X)))))&
(((~rich(paul)&curious(paul)))=>(... | ~generous(paul) | [
"p0",
"p2",
"p11",
"p12",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 234145919336860216534595
% SZS output start Proof for 234145919336860216534595
1. ! [X0] : ((curious(X0) | ~creative(X0)) => ~curious(X0)) [input p0]
3. ! [X0] : ((~brave(X0) | calm(X0)) => (~wise(X0) <~> ~strong(X0))) [input p2]
12. ! [X0] : ((old(X0) | curious(X0)) <=> (~old(X0) | rich(... | 0 |
Everyone who is either not generous or wise is either not wise or tall and vice versa.
If fred is both calm and not humble then someone is rich and vice versa.
Everyone who is strong is wise or not patient and vice versa.
Everyone who is calm or rich is both quiet and happy.
Everyone who is happy is not tall or kind an... | Paul is calm. | neutral | (![X]:((~generous(X)<~>wise(X))<=>(~wise(X)<~>tall(X))))&
(((calm(fred)&~humble(fred)))<=>(?[X]:(rich(X))))&
(![X]:(strong(X)<=>(wise(X)|~patient(X))))&
(![X]:((calm(X)|rich(X))=>(quiet(X)&happy(X))))&
(![X]:(happy(X)<=>(~tall(X)|kind(X))))&
(![X]:((~calm(X)|~patient(X))=>quiet(X)))&
(![X]:(~curious(X)=>quiet(X)))&
(((... | calm(paul) | [] | null | 0 |
Everyone who is both not funny and not curious is both not funny and happy and vice versa.
Everyone who is both not curious and not creative is brave.
Everyone who is happy or not funny is humble or brave and vice versa.
If susan is both not old and not quiet then someone is not brave or not humble and vice versa.
Ever... | Mary is not funny. | neutral | (![X]:((~funny(X)&~curious(X))<=>(~funny(X)&happy(X))))&
(![X]:((~curious(X)&~creative(X))=>brave(X)))&
(![X]:((happy(X)|~funny(X))<=>(humble(X)|brave(X))))&
(((~old(susan)&~quiet(susan)))<=>(?[X]:((~brave(X)|~humble(X)))))&
(![X]:((kind(X)|~strong(X))<=>(old(X)<~>~wise(X))))&
(![X]:((kind(X)|~quiet(X))=>(~curious(X)&~... | ~funny(mary) | [] | null | 0 |
Everyone who is both wise and curious is not old or not rich.
If someone is both funny and not tall then someone is not creative.
If lucy is old or brave then paul is strong and vice versa.
Everyone who is not quiet is either not tall or tall.
Everyone who is not quiet or wise is patient or generous.
If someone is calm... | Paul is not quiet. | neutral | (![X]:((wise(X)&curious(X))=>(~old(X)|~rich(X))))&
((?[X]:((funny(X)&~tall(X))))=>(?[X]:(~creative(X))))&
(((old(lucy)|brave(lucy)))<=>(strong(paul)))&
(![X]:(~quiet(X)=>(~tall(X)<~>tall(X))))&
(![X]:((~quiet(X)|wise(X))=>(patient(X)|generous(X))))&
((?[X]:(calm(X)))=>((~happy(paul)|patient(paul))))&
((?[X]:((wise(X)&q... | ~quiet(paul) | [] | null | 0 |
If john is tall or creative then someone is both strong and not creative.
Everyone who is not kind or wise is both creative and not rich and vice versa.
If someone is either not happy or humble then someone is not kind.
Everyone who is old is strong and vice versa.
If john is either happy or rich then fred is either no... | Fred is not brave. | contradiction | (((tall(john)|creative(john)))=>(?[X]:((strong(X)&~creative(X)))))&
(![X]:((~kind(X)|wise(X))<=>(creative(X)&~rich(X))))&
((?[X]:((~happy(X)<~>humble(X))))=>(?[X]:(~kind(X))))&
(![X]:(old(X)<=>strong(X)))&
(((happy(john)<~>rich(john)))<=>((~rich(fred)<~>~humble(fred))))&
(![X]:((~brave(X)|tall(X))=>(~humble(X)&humble(X... | ~brave(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8425830762315247316354341
% SZS output start Proof for 8425830762315247316354341
6. ! [X0] : ((tall(X0) | ~brave(X0)) => (humble(X0) & ~humble(X0))) [input p5]
25. ~brave(fred) [input hypothesis]
31. ! [X0] : ((humble(X0) & ~humble(X0)) | (~tall(X0) & brave(X0))) [ennf transformation 6]
1... | 0 |
Everyone who is both not rich and creative is not strong.
If susan is not quiet then mary is kind and vice versa.
If john is not funny then someone is kind and vice versa.
If someone is both funny and curious then susan is happy or tall and vice versa.
If john is not happy or not strong then mary is both wise and stron... | Mary is tall. | contradiction | (![X]:((~rich(X)&creative(X))=>~strong(X)))&
((~quiet(susan))<=>(kind(mary)))&
((~funny(john))<=>(?[X]:(kind(X))))&
((?[X]:((funny(X)&curious(X))))<=>((happy(susan)|tall(susan))))&
(((~happy(john)|~strong(john)))<=>((wise(mary)&strong(mary))))&
(![X]:((wise(X)|kind(X))<=>(~calm(X)|~old(X))))&
((generous(mary))=>((calm(... | tall(mary) | [
"p0",
"p12",
"p15",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 259802278469614502549858
% SZS output start Proof for 259802278469614502549858
1. ! [X0] : ((creative(X0) & ~rich(X0)) => ~strong(X0)) [input p0]
13. ! [X0] : ((strong(X0) <~> ~old(X0)) <=> (old(X0) & tall(X0))) [input p12]
16. ! [X0] : (calm(X0) <=> ~creative(X0)) [input p15]
21. ~curiou... | 0 |
Everyone who is either generous or creative is generous or not brave.
If mary is both old and not creative then john is not humble or not funny and vice versa.
Everyone who is both brave and not patient is not curious and vice versa.
If susan is patient or not curious then someone is not strong or tall and vice versa.
... | Mary is creative. | neutral | (![X]:((generous(X)<~>creative(X))=>(generous(X)|~brave(X))))&
(((old(mary)&~creative(mary)))<=>((~humble(john)|~funny(john))))&
(![X]:((brave(X)&~patient(X))<=>~curious(X)))&
(((patient(susan)|~curious(susan)))<=>(?[X]:((~strong(X)|tall(X)))))&
(![X]:(rich(X)=>(~tall(X)<~>curious(X))))&
(![X]:((~wise(X)&~happy(X))=>(~... | creative(mary) | [] | null | 0 |
Everyone who is creative or funny is old or not quiet and vice versa.
Everyone who is humble is either kind or funny and vice versa.
Everyone who is not quiet or rich is not strong or quiet.
Everyone who is not funny is not strong.
Everyone who is kind is either not generous or funny and vice versa.
Everyone who is bot... | Lucy is not funny. | neutral | (![X]:((creative(X)|funny(X))<=>(old(X)|~quiet(X))))&
(![X]:(humble(X)<=>(kind(X)<~>funny(X))))&
(![X]:((~quiet(X)|rich(X))=>(~strong(X)|quiet(X))))&
(![X]:(~funny(X)=>~strong(X)))&
(![X]:(kind(X)<=>(~generous(X)<~>funny(X))))&
(![X]:((patient(X)&~old(X))=>(curious(X)&happy(X))))&
(![X]:(curious(X)=>(kind(X)&strong(X))... | ~funny(lucy) | [] | null | 0 |
Everyone who is humble is not calm and vice versa.
Everyone who is both happy and humble is either old or not happy and vice versa.
Everyone who is either generous or not funny is not humble.
Everyone who is not generous is both not creative and not humble and vice versa.
If someone is both not brave and generous then ... | Alice is not kind. | contradiction | (![X]:(humble(X)<=>~calm(X)))&
(![X]:((happy(X)&humble(X))<=>(old(X)<~>~happy(X))))&
(![X]:((generous(X)<~>~funny(X))=>~humble(X)))&
(![X]:(~generous(X)<=>(~creative(X)&~humble(X))))&
((?[X]:((~brave(X)&generous(X))))<=>((kind(lucy)|generous(lucy))))&
(![X]:(~happy(X)=>(~humble(X)<~>~funny(X))))&
(![X]:(tall(X)<=>(~kin... | ~kind(alice) | [
"p0",
"p1",
"p2",
"p3",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3219990896593514573727342
% SZS output start Proof for 3219990896593514573727342
1. ! [X0] : (humble(X0) <=> ~calm(X0)) [input p0]
2. ! [X0] : ((humble(X0) & happy(X0)) <=> (old(X0) <~> ~happy(X0))) [input p1]
3. ! [X0] : ((generous(X0) <~> ~funny(X0)) => ~humble(X0)) [input p2]
4. ! [X0]... | 0 |
If someone is either tall or not humble then paul is either tall or not old and vice versa. Everyone who is funny is either creative or not creative and vice versa. If susan is tall then john is wise or strong and vice versa. Everyone who is not humble is either not wise or wise and vice versa. Everyone who is either n... | Paul is calm. | neutral | ((?[X]:((tall(X)<~>~humble(X))))<=>((tall(paul)<~>~old(paul))))&
(![X]:(funny(X)<=>(creative(X)<~>~creative(X))))&
((tall(susan))<=>((wise(john)|strong(john))))&
(![X]:(~humble(X)<=>(~wise(X)<~>wise(X))))&
(![X]:((~wise(X)<~>~quiet(X))<=>(happy(X)|tall(X))))&
((?[X]:(generous(X)))=>(?[X]:((wise(X)&generous(X)))))&
(![X... | calm(paul) | [] | null | 0 |
Everyone who is tall is not wise or curious. Everyone who is not generous or not wise is either not humble or not strong and vice versa. If lucy is curious or old then lucy is strong or not calm. If someone is either not calm or curious then fred is either wise or not calm. If someone is both not quiet and happy then s... | Lucy is strong. | entailment | (![X]:(tall(X)=>(~wise(X)|curious(X))))&
(![X]:((~generous(X)|~wise(X))<=>(~humble(X)<~>~strong(X))))&
(((curious(lucy)|old(lucy)))=>((strong(lucy)|~calm(lucy))))&
((?[X]:((~calm(X)<~>curious(X))))=>((wise(fred)<~>~calm(fred))))&
((?[X]:((~quiet(X)&happy(X))))=>((tall(susan)|~curious(susan))))&
((?[X]:((~generous(X)|~k... | strong(lucy) | [
"p7",
"p9",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1058331489895453828377550
% SZS output start Proof for 1058331489895453828377550
8. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~rich(X0) & creative(X0))) [input p7]
10. ! [X0] : ((~creative(X0) <~> ~funny(X0)) <=> ~old(X0)) [input p9]
12. ! [X0] : ((~brave(X0) & ~old(X0)) <=> (happy(X0) ... | 0 |
If someone is not kind then someone is quiet and vice versa.
If paul is both not curious and not brave then paul is both not humble and old and vice versa.
If fred is not brave then someone is kind or wise.
Everyone who is curious is both brave and not tall and vice versa.
Everyone who is both not happy and kind is eit... | Lucy is not brave. | entailment | ((?[X]:(~kind(X)))<=>(?[X]:(quiet(X))))&
(((~curious(paul)&~brave(paul)))<=>((~humble(paul)&old(paul))))&
((~brave(fred))=>(?[X]:((kind(X)|wise(X)))))&
(![X]:(curious(X)<=>(brave(X)&~tall(X))))&
(![X]:((~happy(X)&kind(X))<=>(kind(X)<~>~brave(X))))&
(![X]:((~happy(X)<~>~calm(X))<=>~humble(X)))&
(((calm(alice)<~>kind(ali... | ~brave(lucy) | [
"p3",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7166387104072142958634510
% SZS output start Proof for 7166387104072142958634510
4. ! [X0] : (curious(X0) <=> (~tall(X0) & brave(X0))) [input p3]
10. ! [X0] : ((~brave(X0) <~> tall(X0)) <=> (~generous(X0) & ~brave(X0))) [input p9]
20. ~curious(lucy) [input p19]
25. brave(lucy) [input hypo... | 0 |
If someone is curious or wise then someone is not calm and vice versa. Everyone who is either not tall or curious is either not tall or calm and vice versa. If mary is either generous or not strong then someone is either not tall or not quiet and vice versa. Everyone who is old or not old is either not quiet or not str... | Alice is not rich. | entailment | ((?[X]:((curious(X)|wise(X))))<=>(?[X]:(~calm(X))))&
(![X]:((~tall(X)<~>curious(X))<=>(~tall(X)<~>calm(X))))&
(((generous(mary)<~>~strong(mary)))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
(![X]:((old(X)|~old(X))<=>(~quiet(X)<~>~strong(X))))&
(((tall(susan)<~>~happy(susan)))<=>(?[X]:((~old(X)|~quiet(X)))))&
(((generous(alice)... | ~rich(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3377896562922392676293774
% SZS output start Proof for 3377896562922392676293774
12. ! [X0] : (~kind(X0) <=> (rich(X0) <~> ~kind(X0))) [input p11]
25. rich(alice) [input hypothesis]
66. ! [X0] : ((~kind(X0) | ((rich(X0) | kind(X0)) & (~kind(X0) | ~rich(X0)))) & (((kind(X0) | ~rich(X0)) & ... | 0 |
Everyone who is either brave or not happy is both generous and not generous and vice versa.
If john is both quiet and calm then alice is both curious and humble.
Everyone who is either not quiet or not calm is either rich or strong and vice versa.
Everyone who is not strong or not generous is not quiet and vice versa.
... | John is calm. | contradiction | (![X]:((brave(X)<~>~happy(X))<=>(generous(X)&~generous(X))))&
(((quiet(john)&calm(john)))=>((curious(alice)&humble(alice))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(rich(X)<~>strong(X))))&
(![X]:((~strong(X)|~generous(X))<=>~quiet(X)))&
(![X]:((~patient(X)|brave(X))=>(happy(X)|funny(X))))&
(![X]:((~rich(X)|brave(X))=>(~calm(... | calm(john) | [
"p0",
"p2",
"p3",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 862850631171107938225755
% SZS output start Proof for 862850631171107938225755
1. ! [X0] : ((brave(X0) <~> ~happy(X0)) <=> (~generous(X0) & generous(X0))) [input p0]
3. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (rich(X0) <~> strong(X0))) [input p2]
4. ! [X0] : ((~generous(X0) | ~strong(X0)... | 0 |
Everyone who is not creative or not brave is both creative and old.
Everyone who is calm or not creative is not generous and vice versa.
Everyone who is either calm or happy is both not curious and old and vice versa.
Everyone who is either not strong or creative is either creative or tall and vice versa.
If someone is... | Mary is curious. | entailment | (![X]:((~creative(X)|~brave(X))=>(creative(X)&old(X))))&
(![X]:((calm(X)|~creative(X))<=>~generous(X)))&
(![X]:((calm(X)<~>happy(X))<=>(~curious(X)&old(X))))&
(![X]:((~strong(X)<~>creative(X))<=>(creative(X)<~>tall(X))))&
((?[X]:((~funny(X)<~>~old(X))))=>(wise(john)))&
(![X]:((~wise(X)|calm(X))<=>(brave(X)<~>funny(X)))... | curious(mary) | [
"p0",
"p1",
"p5",
"p6",
"p8",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1962143638562054576860401
% SZS output start Proof for 1962143638562054576860401
1. ! [X0] : ((~brave(X0) | ~creative(X0)) => (old(X0) & creative(X0))) [input p0]
2. ! [X0] : ((~creative(X0) | calm(X0)) <=> ~generous(X0)) [input p1]
6. ! [X0] : ((calm(X0) | ~wise(X0)) <=> (brave(X0) <~> f... | 0 |
Everyone who is quiet is not creative or happy and vice versa. Everyone who is not humble is both not calm and not wise. If someone is old then susan is both kind and not quiet and vice versa. Everyone who is either not calm or not patient is both not generous and quiet and vice versa. Everyone who is kind is both humb... | John is not old. | entailment | (![X]:(quiet(X)<=>(~creative(X)|happy(X))))&
(![X]:(~humble(X)=>(~calm(X)&~wise(X))))&
((?[X]:(old(X)))<=>((kind(susan)&~quiet(susan))))&
(![X]:((~calm(X)<~>~patient(X))<=>(~generous(X)&quiet(X))))&
(![X]:(kind(X)=>(humble(X)&strong(X))))&
(((rich(susan)&creative(susan)))=>(?[X]:((~strong(X)|creative(X)))))&
((?[X]:((b... | ~old(john) | [
"p0",
"p3",
"p7",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4240674729276820906790822
% SZS output start Proof for 4240674729276820906790822
1. ! [X0] : (quiet(X0) <=> (happy(X0) | ~creative(X0))) [input p0]
4. ! [X0] : ((~calm(X0) <~> ~patient(X0)) <=> (quiet(X0) & ~generous(X0))) [input p3]
8. ! [X0] : ((strong(X0) & ~calm(X0)) <=> (old(X0) <~> ... | 0 |
Everyone who is both not funny and not calm is not rich. Everyone who is either calm or not quiet is not creative or funny and vice versa. If alice is either not quiet or not wise then john is both wise and curious. If someone is not old or not wise then someone is not kind and vice versa. Everyone who is either not hu... | Paul is not rich. | contradiction | (![X]:((~funny(X)&~calm(X))=>~rich(X)))&
(![X]:((calm(X)<~>~quiet(X))<=>(~creative(X)|funny(X))))&
(((~quiet(alice)<~>~wise(alice)))=>((wise(john)&curious(john))))&
((?[X]:((~old(X)|~wise(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~humble(X)<~>wise(X))<=>~brave(X)))&
(![X]:((~old(X)&~happy(X))<=>(~strong(X)&curious(X))))&
(![... | ~rich(paul) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2091266101541442310268001
% SZS output start Proof for 2091266101541442310268001
13. ! [X0] : ((strong(X0) | patient(X0)) <=> rich(X0)) [input p12]
14. ! [X0] : ((~strong(X0) | creative(X0)) <=> (strong(X0) & ~calm(X0))) [input p13]
24. ~rich(paul) [input hypothesis]
57. ! [X0] : (((stron... | 0 |
If someone is patient or not quiet then someone is wise and vice versa. Everyone who is kind or not strong is either generous or not kind. Everyone who is not quiet or not rich is both not happy and not patient. Everyone who is not old or not wise is either rich or not tall and vice versa. If someone is both brave and ... | Mary is not rich. | contradiction | ((?[X]:((patient(X)|~quiet(X))))<=>(?[X]:(wise(X))))&
(![X]:((kind(X)|~strong(X))=>(generous(X)<~>~kind(X))))&
(![X]:((~quiet(X)|~rich(X))=>(~happy(X)&~patient(X))))&
(![X]:((~old(X)|~wise(X))<=>(rich(X)<~>~tall(X))))&
((?[X]:((brave(X)&tall(X))))<=>(?[X]:((~wise(X)&~creative(X)))))&
(![X]:(curious(X)<=>~happy(X)))&
(!... | ~rich(mary) | [
"p1",
"p2",
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2506024736536698395851399
% SZS output start Proof for 2506024736536698395851399
2. ! [X0] : ((~strong(X0) | kind(X0)) => (generous(X0) <~> ~kind(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | ~quiet(X0)) => (~patient(X0) & ~happy(X0))) [input p2]
6. ! [X0] : (curious(X0) <=> ~happy(X0)) [inp... | 0 |
Everyone who is humble or not happy is either not happy or not generous and vice versa. If lucy is strong or quiet then someone is creative and vice versa. Everyone who is curious or not happy is either generous or not generous. Everyone who is both quiet and not strong is either not calm or funny and vice versa. Every... | Alice is curious. | neutral | (![X]:((humble(X)|~happy(X))<=>(~happy(X)<~>~generous(X))))&
(((strong(lucy)|quiet(lucy)))<=>(?[X]:(creative(X))))&
(![X]:((curious(X)|~happy(X))=>(generous(X)<~>~generous(X))))&
(![X]:((quiet(X)&~strong(X))<=>(~calm(X)<~>funny(X))))&
(![X]:((~wise(X)<~>patient(X))<=>(patient(X)|~creative(X))))&
(![X]:(curious(X)<=>bra... | curious(alice) | [] | null | 0 |
If john is not creative or brave then someone is both not brave and tall.
If someone is not rich or brave then someone is either wise or not happy and vice versa.
If someone is both not strong and not curious then mary is both not humble and humble and vice versa.
If someone is either not happy or wise then someone is ... | Alice is not quiet. | contradiction | (((~creative(john)|brave(john)))=>(?[X]:((~brave(X)&tall(X)))))&
((?[X]:((~rich(X)|brave(X))))<=>(?[X]:((wise(X)<~>~happy(X)))))&
((?[X]:((~strong(X)&~curious(X))))<=>((~humble(mary)&humble(mary))))&
((?[X]:((~happy(X)<~>wise(X))))<=>(?[X]:((~calm(X)&curious(X)))))&
((funny(john))<=>(?[X]:((~funny(X)<~>~curious(X)))))&... | ~quiet(alice) | [
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6427387171900214200839460
% SZS output start Proof for 6427387171900214200839460
15. ? [X0] : old(X0) <=> quiet(alice) [input p14]
17. ~creative(john) & old(john) [input p16]
25. ~quiet(alice) [input hypothesis]
69. (? [X0] : old(X0) | ~quiet(alice)) & (quiet(alice) | ! [X0] : ~old(X0)) [... | 0 |
If someone is tall then alice is both not funny and not strong and vice versa. Everyone who is not rich or calm is both not calm and not creative. If susan is not happy then someone is either patient or not creative. If alice is both not creative and not kind then paul is happy. Everyone who is not patient is both wise... | Susan is tall. | contradiction | ((?[X]:(tall(X)))<=>((~funny(alice)&~strong(alice))))&
(![X]:((~rich(X)|calm(X))=>(~calm(X)&~creative(X))))&
((~happy(susan))=>(?[X]:((patient(X)<~>~creative(X)))))&
(((~creative(alice)&~kind(alice)))=>(happy(paul)))&
(![X]:(~patient(X)=>(wise(X)&~brave(X))))&
((~quiet(mary))<=>((~quiet(john)&~kind(john))))&
(![X]:(kin... | tall(susan) | [
"p4",
"p6",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8755475301184203145322527
% SZS output start Proof for 8755475301184203145322527
5. ! [X0] : (~patient(X0) => (~brave(X0) & wise(X0))) [input p4]
7. ! [X0] : (kind(X0) <=> brave(X0)) [input p6]
9. ! [X0] : ((~creative(X0) | tall(X0)) <=> (tall(X0) <~> ~kind(X0))) [input p8]
16. ! [X0] : (... | 0 |
If someone is rich or brave then someone is brave and vice versa. Everyone who is not strong or patient is either not funny or not happy. If lucy is happy or not strong then someone is both happy and brave and vice versa. If mary is both not strong and old then someone is not rich or patient. If someone is either kind ... | Lucy is not rich. | neutral | ((?[X]:((rich(X)|brave(X))))<=>(?[X]:(brave(X))))&
(![X]:((~strong(X)|patient(X))=>(~funny(X)<~>~happy(X))))&
(((happy(lucy)|~strong(lucy)))<=>(?[X]:((happy(X)&brave(X)))))&
(((~strong(mary)&old(mary)))=>(?[X]:((~rich(X)|patient(X)))))&
((?[X]:((kind(X)<~>generous(X))))<=>((~generous(susan)<~>creative(susan))))&
(![X]:... | ~rich(lucy) | [] | null | 0 |
Everyone who is both not wise and not tall is either kind or curious and vice versa.
If susan is generous then someone is happy or creative.
Everyone who is either not funny or quiet is both creative and quiet and vice versa.
If someone is not curious then john is either brave or not calm and vice versa.
Everyone who i... | John is humble. | entailment | (![X]:((~wise(X)&~tall(X))<=>(kind(X)<~>curious(X))))&
((generous(susan))=>(?[X]:((happy(X)|creative(X)))))&
(![X]:((~funny(X)<~>quiet(X))<=>(creative(X)&quiet(X))))&
((?[X]:(~curious(X)))<=>((brave(john)<~>~calm(john))))&
(![X]:((creative(X)<~>~strong(X))<=>(~strong(X)|~patient(X))))&
(((curious(alice)&~creative(alice... | humble(john) | [
"p4",
"p5",
"p7",
"p8",
"p9",
"p11",
"p13",
"p16",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5997167136145390819602473
% SZS output start Proof for 5997167136145390819602473
5. ! [X0] : ((creative(X0) <~> ~strong(X0)) <=> (~patient(X0) | ~strong(X0))) [input p4]
6. (~creative(alice) & curious(alice)) <=> ? [X0] : (curious(X0) <~> ~generous(X0)) [input p5]
8. (quiet(alice) <~> str... | 0 |
Everyone who is not strong is either not creative or patient. Everyone who is funny is brave and vice versa. If someone is creative then mary is either creative or patient and vice versa. Everyone who is either not creative or curious is either calm or not strong. If john is wise then someone is not happy or old and vi... | Paul is rich. | entailment | (![X]:(~strong(X)=>(~creative(X)<~>patient(X))))&
(![X]:(funny(X)<=>brave(X)))&
((?[X]:(creative(X)))<=>((creative(mary)<~>patient(mary))))&
(![X]:((~creative(X)<~>curious(X))=>(calm(X)<~>~strong(X))))&
((wise(john))<=>(?[X]:((~happy(X)|old(X)))))&
((?[X]:((~creative(X)<~>~calm(X))))=>(?[X]:((~patient(X)<~>strong(X))))... | rich(paul) | [
"p8",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 447609901185178014094578
% SZS output start Proof for 447609901185178014094578
9. ! [X0] : ((rich(X0) <~> brave(X0)) <=> happy(X0)) [input p8]
18. ~humble(paul) & ~brave(paul) [input p17]
24. happy(paul) & kind(paul) [input p23]
25. ~rich(paul) [input hypothesis]
59. ! [X0] : ((((~brave(X... | 0 |
Everyone who is either humble or tall is both happy and not rich and vice versa.
Everyone who is either calm or creative is not patient or not generous and vice versa.
Everyone who is both happy and patient is both strong and not quiet.
If someone is both not rich and calm then someone is not kind or not humble.
Everyo... | Mary is not kind. | contradiction | (![X]:((humble(X)<~>tall(X))<=>(happy(X)&~rich(X))))&
(![X]:((calm(X)<~>creative(X))<=>(~patient(X)|~generous(X))))&
(![X]:((happy(X)&patient(X))=>(strong(X)&~quiet(X))))&
((?[X]:((~rich(X)&calm(X))))=>(?[X]:((~kind(X)|~humble(X)))))&
(![X]:((~funny(X)<~>~calm(X))=>(strong(X)|happy(X))))&
((?[X]:(tall(X)))<=>(~wise(sus... | ~kind(mary) | [
"p1",
"p9",
"p12",
"p15",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4645207736991306869997585
% SZS output start Proof for 4645207736991306869997585
2. ! [X0] : ((calm(X0) <~> creative(X0)) <=> (~generous(X0) | ~patient(X0))) [input p1]
10. ! [X0] : (patient(X0) <=> (brave(X0) & rich(X0))) [input p9]
13. rich(mary) <=> ? [X0] : (old(X0) | strong(X0)) [inp... | 0 |
If lucy is old or not tall then paul is wise or curious.
If lucy is kind then alice is generous or not funny.
Everyone who is quiet is either not quiet or not happy and vice versa.
If someone is not creative then john is rich.
If paul is generous then paul is either not wise or tall and vice versa.
Everyone who is crea... | Susan is tall. | contradiction | (((old(lucy)|~tall(lucy)))=>((wise(paul)|curious(paul))))&
((kind(lucy))=>((generous(alice)|~funny(alice))))&
(![X]:(quiet(X)<=>(~quiet(X)<~>~happy(X))))&
((?[X]:(~creative(X)))=>(rich(john)))&
((generous(paul))<=>((~wise(paul)<~>tall(paul))))&
(![X]:((creative(X)|humble(X))=>(quiet(X)|rich(X))))&
(![X]:((creative(X)|f... | tall(susan) | [
"p3",
"p6",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7752596225531837857961311
% SZS output start Proof for 7752596225531837857961311
4. ? [X0] : ~creative(X0) => rich(john) [input p3]
7. ! [X0] : ((funny(X0) | creative(X0)) => (~tall(X0) | ~wise(X0))) [input p6]
14. ! [X0] : (~creative(X0) <=> ~wise(X0)) [input p13]
18. ~rich(john) & ~curi... | 0 |
Everyone who is not happy or humble is either wise or rich and vice versa.
Everyone who is not happy is both humble and quiet and vice versa.
Everyone who is not tall or quiet is wise.
Everyone who is both not humble and strong is both not patient and strong.
Everyone who is quiet is not kind and vice versa.
If someone... | Alice is curious. | contradiction | (![X]:((~happy(X)|humble(X))<=>(wise(X)<~>rich(X))))&
(![X]:(~happy(X)<=>(humble(X)&quiet(X))))&
(![X]:((~tall(X)|quiet(X))=>wise(X)))&
(![X]:((~humble(X)&strong(X))=>(~patient(X)&strong(X))))&
(![X]:(quiet(X)<=>~kind(X)))&
((?[X]:((~happy(X)|~patient(X))))<=>(?[X]:((~wise(X)|happy(X)))))&
((?[X]:(rich(X)))<=>(?[X]:(ki... | curious(alice) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9094663557577502482613792
% SZS output start Proof for 9094663557577502482613792
22. calm(alice) & ~curious(alice) [input p21]
25. curious(alice) [input hypothesis]
140. ~curious(alice) [cnf transformation 22]
146. curious(alice) [cnf transformation 25]
372. $false [subsumption resolution... | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa. Everyone who is both not calm and creative is both not rich and strong and vice versa. Everyone who is either not old or creative is both not kind and not curious and vice versa. If john is either not quiet or not happy then fred is ... | Fred is strong. | neutral | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(~rich(X)&strong(X))))&
(![X]:((~old(X)<~>creative(X))<=>(~kind(X)&~curious(X))))&
(((~quiet(john)<~>~happy(john)))=>((~strong(fred)&~wise(fred))))&
(![X]:((curious(X)&~humble(X))=>(brave(X)<~>happy(X))))&
(![X]:(kind(X)<=>(kind(X... | strong(fred) | [] | null | 0 |
If mary is either calm or funny then someone is either brave or not humble and vice versa.
Everyone who is both patient and not quiet is both funny and calm.
Everyone who is either old or curious is either not quiet or calm.
Everyone who is both not creative and humble is not brave or not happy and vice versa.
Everyone... | Mary is wise. | entailment | (((calm(mary)<~>funny(mary)))<=>(?[X]:((brave(X)<~>~humble(X)))))&
(![X]:((patient(X)&~quiet(X))=>(funny(X)&calm(X))))&
(![X]:((old(X)<~>curious(X))=>(~quiet(X)<~>calm(X))))&
(![X]:((~creative(X)&humble(X))<=>(~brave(X)|~happy(X))))&
(![X]:(quiet(X)<=>(brave(X)<~>creative(X))))&
(![X]:(funny(X)=>curious(X)))&
(![X]:(ol... | wise(mary) | [
"p4",
"p11",
"p12",
"p14",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3496872567926884264102660
% SZS output start Proof for 3496872567926884264102660
5. ! [X0] : (quiet(X0) <=> (brave(X0) <~> creative(X0))) [input p4]
12. ? [X0] : (tall(X0) & curious(X0)) <=> ? [X0] : (~brave(X0) | happy(X0)) [input p11]
13. ! [X0] : ((~tall(X0) & rich(X0)) <=> (~funny(X0)... | 0 |
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