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 not calm is either generous or humble. If someone is both funny and generous then someone is funny. Everyone who is not rich or brave is either not calm or not curious. Everyone who is either happy or not brave is funny or not wise. If someone is strong then susan is not patient or happy. Everyone who i... | Mary is not curious. | entailment | (![X]:(~calm(X)=>(generous(X)<~>humble(X))))&
((?[X]:((funny(X)&generous(X))))=>(?[X]:(funny(X))))&
(![X]:((~rich(X)|brave(X))=>(~calm(X)<~>~curious(X))))&
(![X]:((happy(X)<~>~brave(X))=>(funny(X)|~wise(X))))&
((?[X]:(strong(X)))=>((~patient(susan)|happy(susan))))&
(![X]:((~patient(X)<~>~happy(X))=>(~wise(X)&~funny(X))... | ~curious(mary) | [
"p5",
"p9",
"p10",
"p11",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6550857837785580963538959
% SZS output start Proof for 6550857837785580963538959
6. ! [X0] : ((~patient(X0) <~> ~happy(X0)) => (~funny(X0) & ~wise(X0))) [input p5]
10. ! [X0] : (~old(X0) => (~happy(X0) & happy(X0))) [input p9]
11. ! [X0] : (~happy(X0) <=> (brave(X0) | happy(X0))) [input p... | 0 |
Everyone who is strong is happy or not old and vice versa.
Everyone who is both rich and not calm is both wise and tall.
Everyone who is not creative or humble is both wise and not calm.
If someone is either not funny or curious then someone is both not patient and generous and vice versa.
Everyone who is both not happ... | Fred is wise. | contradiction | (![X]:(strong(X)<=>(happy(X)|~old(X))))&
(![X]:((rich(X)&~calm(X))=>(wise(X)&tall(X))))&
(![X]:((~creative(X)|humble(X))=>(wise(X)&~calm(X))))&
((?[X]:((~funny(X)<~>curious(X))))<=>(?[X]:((~patient(X)&generous(X)))))&
(![X]:((~happy(X)&~tall(X))<=>humble(X)))&
(![X]:(old(X)<=>patient(X)))&
((?[X]:((~brave(X)<~>strong(X... | wise(fred) | [
"p0",
"p5",
"p10",
"p11",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3745548236486090230855329
% SZS output start Proof for 3745548236486090230855329
1. ! [X0] : (strong(X0) <=> (~old(X0) | happy(X0))) [input p0]
6. ! [X0] : (old(X0) <=> patient(X0)) [input p5]
11. ! [X0] : ((~patient(X0) <~> ~generous(X0)) <=> (wise(X0) <~> ~strong(X0))) [input p10]
12. !... | 0 |
Everyone who is either not generous or not quiet is both funny and tall.
If someone is happy then mary is not generous or funny.
If someone is funny then mary is either brave or not curious.
Everyone who is not old is not patient.
If someone is both not quiet and quiet then mary is happy.
If someone is either not brave... | John is not rich. | contradiction | (![X]:((~generous(X)<~>~quiet(X))=>(funny(X)&tall(X))))&
((?[X]:(happy(X)))=>((~generous(mary)|funny(mary))))&
((?[X]:(funny(X)))=>((brave(mary)<~>~curious(mary))))&
(![X]:(~old(X)=>~patient(X)))&
((?[X]:((~quiet(X)&quiet(X))))=>(happy(mary)))&
((?[X]:((~brave(X)<~>~curious(X))))<=>((~funny(fred)&strong(fred))))&
((?[X... | ~rich(john) | [
"p7",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 541954488320852341102036
% SZS output start Proof for 541954488320852341102036
8. ? [X0] : (tall(X0) | ~strong(X0)) <=> (humble(john) | rich(john)) [input p7]
9. ? [X0] : creative(X0) <=> ? [X0] : (~tall(X0) <~> happy(X0)) [input p8]
10. ! [X0] : (~wise(X0) => ~strong(X0)) [input p9]
11. ... | 0 |
If mary is both old and not patient then john is either brave or not generous and vice versa.
Everyone who is either creative or patient is old or not funny and vice versa.
Everyone who is calm is both patient and not strong and vice versa.
Everyone who is strong is either happy or not calm.
Everyone who is both not pa... | John is not humble. | neutral | (((old(mary)&~patient(mary)))<=>((brave(john)<~>~generous(john))))&
(![X]:((creative(X)<~>patient(X))<=>(old(X)|~funny(X))))&
(![X]:(calm(X)<=>(patient(X)&~strong(X))))&
(![X]:(strong(X)=>(happy(X)<~>~calm(X))))&
(![X]:((~patient(X)&~happy(X))=>(strong(X)|~generous(X))))&
(((~humble(john)&wise(john)))=>(?[X]:((~strong(... | ~humble(john) | [] | null | 0 |
Everyone who is either not calm or not happy is both quiet and not creative. If someone is both brave and not quiet then someone is rich and vice versa. Everyone who is not quiet is both rich and not humble. Everyone who is either not patient or humble is generous. Everyone who is not quiet or strong is either wise or ... | John is happy. | contradiction | (![X]:((~calm(X)<~>~happy(X))=>(quiet(X)&~creative(X))))&
((?[X]:((brave(X)&~quiet(X))))<=>(?[X]:(rich(X))))&
(![X]:(~quiet(X)=>(rich(X)&~humble(X))))&
(![X]:((~patient(X)<~>humble(X))=>generous(X)))&
(![X]:((~quiet(X)|strong(X))=>(wise(X)<~>~rich(X))))&
(![X]:((happy(X)|old(X))<=>strong(X)))&
((?[X]:((~rich(X)|~creati... | happy(john) | [
"p4",
"p5",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7082394624627858525424383
% SZS output start Proof for 7082394624627858525424383
5. ! [X0] : ((strong(X0) | ~quiet(X0)) => (wise(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : ((old(X0) | happy(X0)) <=> strong(X0)) [input p5]
13. ! [X0] : ((~old(X0) <~> ~creative(X0)) <=> ~creative(X0)) [inpu... | 0 |
If someone is generous or patient then someone is generous. If someone is not calm or patient then susan is generous and vice versa. If mary is strong then someone is not funny or not strong and vice versa. Everyone who is either not funny or strong is both wise and old and vice versa. If someone is both not kind and q... | Mary is funny. | contradiction | ((?[X]:((generous(X)|patient(X))))=>(?[X]:(generous(X))))&
((?[X]:((~calm(X)|patient(X))))<=>(generous(susan)))&
((strong(mary))<=>(?[X]:((~funny(X)|~strong(X)))))&
(![X]:((~funny(X)<~>strong(X))<=>(wise(X)&old(X))))&
((?[X]:((~kind(X)&quiet(X))))=>((wise(fred)&brave(fred))))&
(![X]:((~patient(X)<~>strong(X))=>(~brave(... | funny(mary) | [
"p2",
"p3",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1634405177597751416915909
% SZS output start Proof for 1634405177597751416915909
3. strong(mary) <=> ? [X0] : (~strong(X0) | ~funny(X0)) [input p2]
4. ! [X0] : ((~funny(X0) <~> strong(X0)) <=> (old(X0) & wise(X0))) [input p3]
7. ! [X0] : ((~kind(X0) | calm(X0)) <=> kind(X0)) [input p6]
8.... | 0 |
Everyone who is patient is not kind or kind.
Everyone who is tall or not creative is not strong.
If someone is not brave or not tall then someone is calm and vice versa.
Everyone who is quiet or happy is calm.
Everyone who is calm or curious is not brave or not old and vice versa.
Everyone who is generous or not happy ... | Susan is humble. | entailment | (![X]:(patient(X)=>(~kind(X)|kind(X))))&
(![X]:((tall(X)|~creative(X))=>~strong(X)))&
((?[X]:((~brave(X)|~tall(X))))<=>(?[X]:(calm(X))))&
(![X]:((quiet(X)|happy(X))=>calm(X)))&
(![X]:((calm(X)|curious(X))<=>(~brave(X)|~old(X))))&
(![X]:((generous(X)|~happy(X))<=>happy(X)))&
(![X]:((~curious(X)&~brave(X))<=>(~old(X)|bra... | humble(susan) | [
"p3",
"p5",
"p6",
"p7",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 187088629756691302207415
% SZS output start Proof for 187088629756691302207415
4. ! [X0] : ((happy(X0) | quiet(X0)) => calm(X0)) [input p3]
6. ! [X0] : ((~happy(X0) | generous(X0)) <=> happy(X0)) [input p5]
7. ! [X0] : ((~brave(X0) & ~curious(X0)) <=> (brave(X0) | ~old(X0))) [input p6]
8.... | 0 |
Everyone who is not calm or not patient is rich or not strong.
Everyone who is rich is not strong.
Everyone who is either not patient or not generous is not tall and vice versa.
Everyone who is quiet is both not creative and happy.
Everyone who is either creative or patient is either kind or brave.
If someone is both b... | Lucy is humble. | neutral | (![X]:((~calm(X)|~patient(X))=>(rich(X)|~strong(X))))&
(![X]:(rich(X)=>~strong(X)))&
(![X]:((~patient(X)<~>~generous(X))<=>~tall(X)))&
(![X]:(quiet(X)=>(~creative(X)&happy(X))))&
(![X]:((creative(X)<~>patient(X))=>(kind(X)<~>brave(X))))&
((?[X]:((brave(X)&~old(X))))<=>(happy(lucy)))&
(![X]:((humble(X)&~creative(X))<=>(... | humble(lucy) | [] | null | 0 |
If someone is either curious or funny then paul is brave and vice versa.
Everyone who is happy or creative is either not creative or patient.
If someone is both not humble and not funny then lucy is old or not calm and vice versa.
Everyone who is both not curious and humble is both not old and not kind.
If susan is bot... | Alice is not humble. | contradiction | ((?[X]:((curious(X)<~>funny(X))))<=>(brave(paul)))&
(![X]:((happy(X)|creative(X))=>(~creative(X)<~>patient(X))))&
((?[X]:((~humble(X)&~funny(X))))<=>((old(lucy)|~calm(lucy))))&
(![X]:((~curious(X)&humble(X))=>(~old(X)&~kind(X))))&
(((brave(susan)&~generous(susan)))=>((funny(lucy)|~quiet(lucy))))&
((?[X]:(creative(X)))<... | ~humble(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6288484534564911732250015
% SZS output start Proof for 6288484534564911732250015
20. humble(alice) [input p19]
25. ~humble(alice) [input hypothesis]
141. humble(alice) [cnf transformation 20]
149. ~humble(alice) [cnf transformation 25]
341. $false [subsumption resolution 149,141]
% SZS ou... | 0 |
Everyone who is both patient and generous is not tall or humble and vice versa. Everyone who is humble or curious is old and vice versa. If paul is both wise and not creative then someone is not tall or not creative. If fred is happy or quiet then fred is both patient and curious. If susan is both not quiet and creativ... | Lucy is quiet. | contradiction | (![X]:((patient(X)&generous(X))<=>(~tall(X)|humble(X))))&
(![X]:((humble(X)|curious(X))<=>old(X)))&
(((wise(paul)&~creative(paul)))=>(?[X]:((~tall(X)|~creative(X)))))&
(((happy(fred)|quiet(fred)))=>((patient(fred)&curious(fred))))&
(((~quiet(susan)&creative(susan)))=>(?[X]:((~curious(X)<~>~quiet(X)))))&
(((creative(joh... | quiet(lucy) | [
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 82541270060070609572029
% SZS output start Proof for 82541270060070609572029
11. (quiet(lucy) | happy(lucy)) <=> (~quiet(mary) & ~patient(mary)) [input p10]
17. quiet(mary) & ~tall(mary) [input p16]
25. quiet(lucy) [input hypothesis]
64. ((quiet(lucy) | happy(lucy)) | (quiet(mary) | patie... | 0 |
If someone is kind then john is not kind or generous and vice versa. If someone is either quiet or creative then susan is curious and vice versa. Everyone who is brave is both not old and not curious and vice versa. Everyone who is patient or not creative is calm and vice versa. Everyone who is not strong is both humbl... | Paul is humble. | entailment | ((?[X]:(kind(X)))<=>((~kind(john)|generous(john))))&
((?[X]:((quiet(X)<~>creative(X))))<=>(curious(susan)))&
(![X]:(brave(X)<=>(~old(X)&~curious(X))))&
(![X]:((patient(X)|~creative(X))<=>calm(X)))&
(![X]:(~strong(X)<=>(humble(X)&patient(X))))&
(![X]:((~brave(X)&~old(X))=>creative(X)))&
((?[X]:((~humble(X)|funny(X))))<=... | humble(paul) | [
"p3",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4890687117881014358746327
% SZS output start Proof for 4890687117881014358746327
4. ! [X0] : ((~creative(X0) | patient(X0)) <=> calm(X0)) [input p3]
12. ! [X0] : ((calm(X0) | ~brave(X0)) => (humble(X0) | ~patient(X0))) [input p11]
16. ! [X0] : ((~kind(X0) | ~calm(X0)) => (strong(X0) & hum... | 0 |
If someone is both wise and not quiet then someone is not patient or tall and vice versa. Everyone who is either not curious or not patient is either calm or not tall. If paul is tall or not creative then someone is both not wise and not kind. Everyone who is calm or patient is not happy and vice versa. Everyone who is... | Paul is not curious. | contradiction | ((?[X]:((wise(X)&~quiet(X))))<=>(?[X]:((~patient(X)|tall(X)))))&
(![X]:((~curious(X)<~>~patient(X))=>(calm(X)<~>~tall(X))))&
(((tall(paul)|~creative(paul)))=>(?[X]:((~wise(X)&~kind(X)))))&
(![X]:((calm(X)|patient(X))<=>~happy(X)))&
(![X]:((~curious(X)|~wise(X))<=>~rich(X)))&
(![X]:((tall(X)&~kind(X))=>(strong(X)<~>rich... | ~curious(paul) | [
"p0",
"p3",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4485888013359551488364970
% SZS output start Proof for 4485888013359551488364970
1. ? [X0] : (~quiet(X0) & wise(X0)) <=> ? [X0] : (tall(X0) | ~patient(X0)) [input p0]
4. ! [X0] : ((patient(X0) | calm(X0)) <=> ~happy(X0)) [input p3]
9. ! [X0] : ((~quiet(X0) <~> ~wise(X0)) <=> (~strong(X0) ... | 0 |
Everyone who is both not happy and happy is strong. If someone is both not patient and rich then lucy is funny or not brave and vice versa. If john is quiet then susan is both not brave and not tall. Everyone who is quiet or not patient is both not rich and quiet and vice versa. Everyone who is both quiet and happy is ... | Alice is curious. | neutral | (![X]:((~happy(X)&happy(X))=>strong(X)))&
((?[X]:((~patient(X)&rich(X))))<=>((funny(lucy)|~brave(lucy))))&
((quiet(john))=>((~brave(susan)&~tall(susan))))&
(![X]:((quiet(X)|~patient(X))<=>(~rich(X)&quiet(X))))&
(![X]:((quiet(X)&happy(X))<=>~kind(X)))&
(![X]:((happy(X)&kind(X))<=>(kind(X)|~tall(X))))&
(![X]:((patient(X)... | curious(alice) | [] | null | 0 |
Everyone who is either kind or not generous is not patient or funny and vice versa. Everyone who is not brave is happy and vice versa. Everyone who is tall or strong is curious. Everyone who is either calm or not humble is either not wise or rich and vice versa. If someone is either tall or curious then lucy is humble ... | Lucy is not strong. | neutral | (![X]:((kind(X)<~>~generous(X))<=>(~patient(X)|funny(X))))&
(![X]:(~brave(X)<=>happy(X)))&
(![X]:((tall(X)|strong(X))=>curious(X)))&
(![X]:((calm(X)<~>~humble(X))<=>(~wise(X)<~>rich(X))))&
((?[X]:((tall(X)<~>curious(X))))<=>(humble(lucy)))&
(![X]:((brave(X)&~wise(X))<=>(~generous(X)&creative(X))))&
((?[X]:(funny(X)))=>... | ~strong(lucy) | [] | null | 0 |
If lucy is not humble or calm then someone is tall or patient. If lucy is either humble or generous then susan is either not wise or tall. Everyone who is not old or old is either not strong or tall. If someone is both generous and not tall then susan is tall or not kind and vice versa. If john is both kind and strong ... | John is wise. | neutral | (((~humble(lucy)|calm(lucy)))=>(?[X]:((tall(X)|patient(X)))))&
(((humble(lucy)<~>generous(lucy)))=>((~wise(susan)<~>tall(susan))))&
(![X]:((~old(X)|old(X))=>(~strong(X)<~>tall(X))))&
((?[X]:((generous(X)&~tall(X))))<=>((tall(susan)|~kind(susan))))&
(((kind(john)&strong(john)))<=>((~funny(lucy)<~>strong(lucy))))&
(![X]:... | wise(john) | [] | null | 0 |
Everyone who is either not happy or creative is both wise and happy.
Everyone who is either creative or generous is either not brave or tall.
If susan is not tall or not generous then fred is either not patient or not old and vice versa.
If someone is both not tall and quiet then someone is either not quiet or kind and... | Paul is rich. | neutral | (![X]:((~happy(X)<~>creative(X))=>(wise(X)&happy(X))))&
(![X]:((creative(X)<~>generous(X))=>(~brave(X)<~>tall(X))))&
(((~tall(susan)|~generous(susan)))<=>((~patient(fred)<~>~old(fred))))&
((?[X]:((~tall(X)&quiet(X))))<=>(?[X]:((~quiet(X)<~>kind(X)))))&
(((~tall(alice)|tall(alice)))=>((kind(susan)|calm(susan))))&
(![X]:... | rich(paul) | [] | null | 0 |
Everyone who is both not curious and patient is both calm and not generous.
If someone is patient or not creative then alice is humble.
If lucy is both not quiet and not calm then someone is not generous or not curious and vice versa.
Everyone who is either not wise or not humble is both not quiet and old.
Everyone who... | Alice is not wise. | contradiction | (![X]:((~curious(X)&patient(X))=>(calm(X)&~generous(X))))&
((?[X]:((patient(X)|~creative(X))))=>(humble(alice)))&
(((~quiet(lucy)&~calm(lucy)))<=>(?[X]:((~generous(X)|~curious(X)))))&
(![X]:((~wise(X)<~>~humble(X))=>(~quiet(X)&old(X))))&
(![X]:(~patient(X)<=>(quiet(X)&tall(X))))&
(![X]:((~kind(X)<~>old(X))=>~patient(X)... | ~wise(alice) | [
"p1",
"p3",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3917150821420460971934435
% SZS output start Proof for 3917150821420460971934435
2. ? [X0] : (~creative(X0) | patient(X0)) => humble(alice) [input p1]
4. ! [X0] : ((~wise(X0) <~> ~humble(X0)) => (old(X0) & ~quiet(X0))) [input p3]
5. ! [X0] : (~patient(X0) <=> (tall(X0) & quiet(X0))) [inpu... | 0 |
Everyone who is both not generous and creative is either not patient or not generous and vice versa.
If mary is either patient or kind then paul is both not wise and creative.
If john is kind then someone is not generous.
If susan is funny then someone is tall or not patient.
Everyone who is not generous is not kind.
I... | Susan is humble. | entailment | (![X]:((~generous(X)&creative(X))<=>(~patient(X)<~>~generous(X))))&
(((patient(mary)<~>kind(mary)))=>((~wise(paul)&creative(paul))))&
((kind(john))=>(?[X]:(~generous(X))))&
((funny(susan))=>(?[X]:((tall(X)|~patient(X)))))&
(![X]:(~generous(X)=>~kind(X)))&
((?[X]:(~humble(X)))<=>((~rich(paul)&quiet(paul))))&
(((humble(a... | humble(susan) | [
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6126751362834585179666694
% SZS output start Proof for 6126751362834585179666694
6. ? [X0] : ~humble(X0) <=> (quiet(paul) & ~rich(paul)) [input p5]
9. (generous(paul) & rich(paul)) <=> ? [X0] : (~humble(X0) <~> ~tall(X0)) [input p8]
13. ! [X0] : (tall(X0) <=> ~humble(X0)) [input p12]
23. ... | 0 |
Everyone who is not funny or not patient is both creative and not old.
Everyone who is both strong and wise is either not creative or not kind and vice versa.
If someone is both curious and strong then susan is not curious and vice versa.
Everyone who is both old and generous is either funny or rich.
Everyone who is ei... | John is old. | contradiction | (![X]:((~funny(X)|~patient(X))=>(creative(X)&~old(X))))&
(![X]:((strong(X)&wise(X))<=>(~creative(X)<~>~kind(X))))&
((?[X]:((curious(X)&strong(X))))<=>(~curious(susan)))&
(![X]:((old(X)&generous(X))=>(funny(X)<~>rich(X))))&
(![X]:((~kind(X)<~>tall(X))=>~creative(X)))&
((?[X]:(~curious(X)))<=>(?[X]:((kind(X)&~rich(X)))))... | old(john) | [
"p0",
"p6",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8026782911580009820714482
% SZS output start Proof for 8026782911580009820714482
1. ! [X0] : ((~patient(X0) | ~funny(X0)) => (~old(X0) & creative(X0))) [input p0]
7. ! [X0] : ((~creative(X0) | wise(X0)) <=> ~patient(X0)) [input p6]
9. ! [X0] : ((~generous(X0) & ~funny(X0)) <=> (~creative(... | 0 |
If fred is either not patient or not happy then someone is quiet or humble and vice versa. Everyone who is not funny or not kind is either not tall or humble. Everyone who is either rich or funny is not calm or not funny. If someone is both not old and not quiet then john is not tall and vice versa. If fred is both not... | Lucy is not patient. | entailment | (((~patient(fred)<~>~happy(fred)))<=>(?[X]:((quiet(X)|humble(X)))))&
(![X]:((~funny(X)|~kind(X))=>(~tall(X)<~>humble(X))))&
(![X]:((rich(X)<~>funny(X))=>(~calm(X)|~funny(X))))&
((?[X]:((~old(X)&~quiet(X))))<=>(~tall(john)))&
(((~patient(fred)&~wise(fred)))<=>(?[X]:((~funny(X)<~>~brave(X)))))&
(![X]:((tall(X)&~humble(X)... | ~patient(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4388096582492057173184554
% SZS output start Proof for 4388096582492057173184554
8. ~funny(lucy) <=> (patient(lucy) <~> ~funny(lucy)) [input p7]
25. patient(lucy) [input hypothesis]
54. (~funny(lucy) | ((patient(lucy) | funny(lucy)) & (~funny(lucy) | ~patient(lucy)))) & (((funny(lucy) | ~... | 0 |
Everyone who is either not strong or not happy is not tall and vice versa.
Everyone who is both brave and not strong is not kind.
Everyone who is either brave or not brave is rich or kind.
If alice is funny or strong then mary is both not patient and humble and vice versa.
If someone is quiet or not funny then someone ... | Fred is strong. | entailment | (![X]:((~strong(X)<~>~happy(X))<=>~tall(X)))&
(![X]:((brave(X)&~strong(X))=>~kind(X)))&
(![X]:((brave(X)<~>~brave(X))=>(rich(X)|kind(X))))&
(((funny(alice)|strong(alice)))<=>((~patient(mary)&humble(mary))))&
((?[X]:((quiet(X)|~funny(X))))<=>(?[X]:((~humble(X)&patient(X)))))&
((?[X]:(strong(X)))=>(?[X]:((~creative(X)&st... | strong(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1466857112505904880875180
% SZS output start Proof for 1466857112505904880875180
14. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => strong(X0)) [input p13]
25. ~strong(fred) [input hypothesis]
42. ! [X0] : (strong(X0) | (~quiet(X0) <=> quiet(X0))) [ennf transformation 14]
72. ! [X0] : (strong(X0... | 0 |
Everyone who is not strong or creative is not wise and vice versa.
Everyone who is not wise or tall is both not calm and wise and vice versa.
If mary is funny then john is old or patient.
If lucy is both quiet and not rich then mary is not funny or humble.
If someone is both funny and patient then paul is old.
Everyone... | Alice is not brave. | neutral | (![X]:((~strong(X)|creative(X))<=>~wise(X)))&
(![X]:((~wise(X)|tall(X))<=>(~calm(X)&wise(X))))&
((funny(mary))=>((old(john)|patient(john))))&
(((quiet(lucy)&~rich(lucy)))=>((~funny(mary)|humble(mary))))&
((?[X]:((funny(X)&patient(X))))=>(old(paul)))&
(![X]:(~tall(X)=>(~calm(X)&~happy(X))))&
((?[X]:((strong(X)<~>~patien... | ~brave(alice) | [] | null | 0 |
Everyone who is not rich or not happy is both brave and patient and vice versa.
If fred is creative then mary is either tall or kind and vice versa.
If someone is quiet or kind then someone is both not tall and not funny and vice versa.
If lucy is either not patient or not brave then someone is not humble and vice vers... | Alice is humble. | entailment | (![X]:((~rich(X)|~happy(X))<=>(brave(X)&patient(X))))&
((creative(fred))<=>((tall(mary)<~>kind(mary))))&
((?[X]:((quiet(X)|kind(X))))<=>(?[X]:((~tall(X)&~funny(X)))))&
(((~patient(lucy)<~>~brave(lucy)))<=>(?[X]:(~humble(X))))&
(![X]:(~old(X)<=>(~wise(X)|rich(X))))&
(((~humble(fred)&~patient(fred)))=>(~rich(alice)))&
((... | humble(alice) | [
"p0",
"p3",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3580651610588332975624310
% SZS output start Proof for 3580651610588332975624310
1. ! [X0] : ((~happy(X0) | ~rich(X0)) <=> (patient(X0) & brave(X0))) [input p0]
4. (~patient(lucy) <~> ~brave(lucy)) <=> ? [X0] : ~humble(X0) [input p3]
11. ! [X0] : ((~generous(X0) | ~wise(X0)) => patient(X0... | 0 |
If mary is generous then lucy is not happy or quiet.
Everyone who is creative or patient is either old or generous and vice versa.
Everyone who is either not old or not generous is either not quiet or curious and vice versa.
Everyone who is patient or brave is not happy or not rich.
If alice is not strong or not curiou... | Fred is not calm. | neutral | ((generous(mary))=>((~happy(lucy)|quiet(lucy))))&
(![X]:((creative(X)|patient(X))<=>(old(X)<~>generous(X))))&
(![X]:((~old(X)<~>~generous(X))<=>(~quiet(X)<~>curious(X))))&
(![X]:((patient(X)|brave(X))=>(~happy(X)|~rich(X))))&
(((~strong(alice)|~curious(alice)))<=>(patient(lucy)))&
((?[X]:((creative(X)<~>~wise(X))))=>(?... | ~calm(fred) | [] | null | 0 |
Everyone who is not kind is both not kind and curious. If someone is not creative or strong then someone is both wise and not brave and vice versa. Everyone who is kind is both funny and quiet. Everyone who is both not happy and happy is not generous or happy and vice versa. If someone is not kind or tall then alice is... | Lucy is creative. | entailment | (![X]:(~kind(X)=>(~kind(X)&curious(X))))&
((?[X]:((~creative(X)|strong(X))))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(kind(X)=>(funny(X)&quiet(X))))&
(![X]:((~happy(X)&happy(X))<=>(~generous(X)|happy(X))))&
((?[X]:((~kind(X)|tall(X))))=>((~funny(alice)&curious(alice))))&
((?[X]:((~patient(X)<~>funny(X))))=>((~funny(paul... | creative(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6428354901947935547570247
% SZS output start Proof for 6428354901947935547570247
1. ! [X0] : (~kind(X0) => (curious(X0) & ~kind(X0))) [input p0]
2. ? [X0] : (strong(X0) | ~creative(X0)) <=> ? [X0] : (~brave(X0) & wise(X0)) [input p1]
3. ! [X0] : (kind(X0) => (quiet(X0) & funny(X0))) [inpu... | 0 |
If fred is either patient or not curious then john is strong. Everyone who is not quiet is not rich and vice versa. Everyone who is both creative and not creative is kind and vice versa. Everyone who is both humble and generous is either not tall or not funny and vice versa. Everyone who is humble or not kind is either... | Fred is not happy. | entailment | (((patient(fred)<~>~curious(fred)))=>(strong(john)))&
(![X]:(~quiet(X)<=>~rich(X)))&
(![X]:((creative(X)&~creative(X))<=>kind(X)))&
(![X]:((humble(X)&generous(X))<=>(~tall(X)<~>~funny(X))))&
(![X]:((humble(X)|~kind(X))=>(~strong(X)<~>~quiet(X))))&
(![X]:((rich(X)&patient(X))<=>(tall(X)|happy(X))))&
(![X]:((brave(X)<~>~... | ~happy(fred) | [
"p1",
"p2",
"p4",
"p5",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5452652643591103313677791
% SZS output start Proof for 5452652643591103313677791
2. ! [X0] : (~quiet(X0) <=> ~rich(X0)) [input p1]
3. ! [X0] : ((~creative(X0) & creative(X0)) <=> kind(X0)) [input p2]
5. ! [X0] : ((~kind(X0) | humble(X0)) => (~strong(X0) <~> ~quiet(X0))) [input p4]
6. ! [X... | 0 |
If lucy is both wise and kind then fred is not kind or not curious.
If someone is calm then someone is both not funny and curious.
Everyone who is quiet or not creative is not kind or calm.
Everyone who is not old is both generous and calm.
If someone is not curious or not humble then paul is either patient or not quie... | Paul is not brave. | neutral | (((wise(lucy)&kind(lucy)))=>((~kind(fred)|~curious(fred))))&
((?[X]:(calm(X)))=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:((quiet(X)|~creative(X))=>(~kind(X)|calm(X))))&
(![X]:(~old(X)=>(generous(X)&calm(X))))&
((?[X]:((~curious(X)|~humble(X))))=>((patient(paul)<~>~quiet(paul))))&
(![X]:((~humble(X)&~generous(X))<=>(~ric... | ~brave(paul) | [] | null | 0 |
If someone is not humble then fred is creative.
Everyone who is both generous and happy is funny.
If john is not creative or not old then alice is either not humble or not quiet.
If paul is not rich or curious then mary is not humble or not quiet.
Everyone who is not old or not humble is not happy or funny and vice ver... | Mary is not generous. | neutral | ((?[X]:(~humble(X)))=>(creative(fred)))&
(![X]:((generous(X)&happy(X))=>funny(X)))&
(((~creative(john)|~old(john)))=>((~humble(alice)<~>~quiet(alice))))&
(((~rich(paul)|curious(paul)))=>((~humble(mary)|~quiet(mary))))&
(![X]:((~old(X)|~humble(X))<=>(~happy(X)|funny(X))))&
(((~rich(fred)&curious(fred)))=>(?[X]:((~brave(... | ~generous(mary) | [] | null | 0 |
Everyone who is either not generous or not humble is either not tall or not quiet and vice versa. Everyone who is both happy and not wise is not calm. Everyone who is tall is both not strong and not wise. If fred is both quiet and not funny then paul is generous or humble. Everyone who is not curious or not generous is... | Fred is not generous. | contradiction | (![X]:((~generous(X)<~>~humble(X))<=>(~tall(X)<~>~quiet(X))))&
(![X]:((happy(X)&~wise(X))=>~calm(X)))&
(![X]:(tall(X)=>(~strong(X)&~wise(X))))&
(((quiet(fred)&~funny(fred)))=>((generous(paul)|humble(paul))))&
(![X]:((~curious(X)|~generous(X))<=>generous(X)))&
((?[X]:((patient(X)&old(X))))<=>(?[X]:((~kind(X)|~creative(X... | ~generous(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4226101113769802976949711
% SZS output start Proof for 4226101113769802976949711
5. ! [X0] : ((~generous(X0) | ~curious(X0)) <=> generous(X0)) [input p4]
24. ~generous(fred) [input hypothesis]
38. ! [X0] : (((~generous(X0) | ~curious(X0)) | ~generous(X0)) & (generous(X0) | (generous(X0) &... | 0 |
Everyone who is both old and not calm is either not happy or not generous and vice versa.
If someone is not quiet or not patient then someone is either patient or not kind.
Everyone who is not kind is not funny or not curious.
Everyone who is not curious or not funny is both brave and not brave and vice versa.
Everyone... | Fred is not old. | entailment | (![X]:((old(X)&~calm(X))<=>(~happy(X)<~>~generous(X))))&
((?[X]:((~quiet(X)|~patient(X))))=>(?[X]:((patient(X)<~>~kind(X)))))&
(![X]:(~kind(X)=>(~funny(X)|~curious(X))))&
(![X]:((~curious(X)|~funny(X))<=>(brave(X)&~brave(X))))&
(![X]:((~quiet(X)<~>wise(X))<=>(happy(X)<~>~old(X))))&
(![X]:((~funny(X)<~>humble(X))=>(~kin... | ~old(fred) | [
"p0",
"p4",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 384586832676699129300192
% SZS output start Proof for 384586832676699129300192
1. ! [X0] : ((~calm(X0) & old(X0)) <=> (~happy(X0) <~> ~generous(X0))) [input p0]
5. ! [X0] : ((~quiet(X0) <~> wise(X0)) <=> (happy(X0) <~> ~old(X0))) [input p4]
12. ! [X0] : ((brave(X0) | ~rich(X0)) <=> (~calm... | 0 |
Everyone who is funny is either rich or not tall and vice versa. If someone is not brave then susan is not brave or tall and vice versa. Everyone who is either quiet or humble is not old or patient. If someone is both quiet and not old then someone is quiet or happy. If someone is either patient or not wise then mary i... | Alice is patient. | neutral | (![X]:(funny(X)<=>(rich(X)<~>~tall(X))))&
((?[X]:(~brave(X)))<=>((~brave(susan)|tall(susan))))&
(![X]:((quiet(X)<~>humble(X))=>(~old(X)|patient(X))))&
((?[X]:((quiet(X)&~old(X))))=>(?[X]:((quiet(X)|happy(X)))))&
((?[X]:((patient(X)<~>~wise(X))))<=>(~strong(mary)))&
(![X]:(~brave(X)<=>(brave(X)&~strong(X))))&
(((rich(ma... | patient(alice) | [] | null | 0 |
Everyone who is happy or tall is both funny and not brave and vice versa.
If someone is both not curious and patient then someone is not rich and vice versa.
If alice is curious or not quiet then paul is both not wise and humble.
Everyone who is both creative and funny is both not creative and not curious.
If someone i... | Mary is old. | neutral | (![X]:((happy(X)|tall(X))<=>(funny(X)&~brave(X))))&
((?[X]:((~curious(X)&patient(X))))<=>(?[X]:(~rich(X))))&
(((curious(alice)|~quiet(alice)))=>((~wise(paul)&humble(paul))))&
(![X]:((creative(X)&funny(X))=>(~creative(X)&~curious(X))))&
((?[X]:((curious(X)|~wise(X))))<=>(?[X]:((~rich(X)|patient(X)))))&
(((wise(john)|~ge... | old(mary) | [] | null | 0 |
Everyone who is not generous or not patient is brave. If someone is quiet then someone is both not strong and strong. Everyone who is not quiet or tall is either strong or rich. If john is funny then alice is rich. Everyone who is either not funny or not old is not tall or tall. Everyone who is both not strong and not ... | Mary is not happy. | entailment | (![X]:((~generous(X)|~patient(X))=>brave(X)))&
((?[X]:(quiet(X)))=>(?[X]:((~strong(X)&strong(X)))))&
(![X]:((~quiet(X)|tall(X))=>(strong(X)<~>rich(X))))&
((funny(john))=>(rich(alice)))&
(![X]:((~funny(X)<~>~old(X))=>(~tall(X)|tall(X))))&
(![X]:((~strong(X)&~calm(X))=>~quiet(X)))&
(((~quiet(susan)&creative(susan)))=>(?[... | ~happy(mary) | [
"p0",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1750954169222872048546732
% SZS output start Proof for 1750954169222872048546732
1. ! [X0] : ((~patient(X0) | ~generous(X0)) => brave(X0)) [input p0]
13. ! [X0] : ((creative(X0) & rich(X0)) <=> ~rich(X0)) [input p12]
15. ? [X0] : (brave(X0) | ~old(X0)) => (creative(mary) & happy(mary)) [i... | 0 |
Everyone who is not wise is both not funny and not tall. If someone is either not happy or not funny then someone is both not curious and not old. Everyone who is not quiet or creative is funny and vice versa. Everyone who is not old is both generous and not kind and vice versa. If susan is either strong or not calm th... | Susan is kind. | neutral | (![X]:(~wise(X)=>(~funny(X)&~tall(X))))&
((?[X]:((~happy(X)<~>~funny(X))))=>(?[X]:((~curious(X)&~old(X)))))&
(![X]:((~quiet(X)|creative(X))<=>funny(X)))&
(![X]:(~old(X)<=>(generous(X)&~kind(X))))&
(((strong(susan)<~>~calm(susan)))<=>(?[X]:((~humble(X)|patient(X)))))&
((?[X]:((~old(X)&~kind(X))))=>((~curious(john)<~>~st... | kind(susan) | [] | null | 0 |
Everyone who is both happy and not creative is not funny. Everyone who is both not happy and not wise is rich and vice versa. Everyone who is not kind is not creative and vice versa. If alice is either not kind or quiet then someone is not strong or not brave and vice versa. Everyone who is either humble or brave is no... | Fred is old. | entailment | (![X]:((happy(X)&~creative(X))=>~funny(X)))&
(![X]:((~happy(X)&~wise(X))<=>rich(X)))&
(![X]:(~kind(X)<=>~creative(X)))&
(((~kind(alice)<~>quiet(alice)))<=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((humble(X)<~>brave(X))<=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happ... | old(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 711674390631459886643090
% SZS output start Proof for 711674390631459886643090
13. ? [X0] : (~old(X0) | quiet(X0)) => ? [X0] : (wise(X0) & ~wise(X0)) [input p12]
24. ~old(fred) [input hypothesis]
25. ? [X0] : (~old(X0) | quiet(X0)) => ? [X1] : (wise(X1) & ~wise(X1)) [rectify 13]
35. ? [X1... | 0 |
If alice is both curious and not funny then fred is generous and vice versa.
Everyone who is both not generous and not tall is both humble and not happy.
If alice is both rich and not generous then john is both calm and not kind.
If fred is both calm and not generous then someone is either rich or not curious and vice ... | Fred is not kind. | neutral | (((curious(alice)&~funny(alice)))<=>(generous(fred)))&
(![X]:((~generous(X)&~tall(X))=>(humble(X)&~happy(X))))&
(((rich(alice)&~generous(alice)))=>((calm(john)&~kind(john))))&
(((calm(fred)&~generous(fred)))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(![X]:((~old(X)<~>happy(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((tall(X... | ~kind(fred) | [] | null | 0 |
If someone is not tall or quiet then susan is either quiet or not calm. If susan is not kind then paul is not humble or not patient and vice versa. If susan is not tall then susan is humble and vice versa. If someone is either not quiet or not wise then susan is quiet and vice versa. Everyone who is not humble is both ... | Lucy is not wise. | neutral | ((?[X]:((~tall(X)|quiet(X))))=>((quiet(susan)<~>~calm(susan))))&
((~kind(susan))<=>((~humble(paul)|~patient(paul))))&
((~tall(susan))<=>(humble(susan)))&
((?[X]:((~quiet(X)<~>~wise(X))))<=>(quiet(susan)))&
(![X]:(~humble(X)<=>(~generous(X)&~brave(X))))&
(![X]:((~happy(X)<~>rich(X))<=>(~happy(X)&rich(X))))&
(![X]:((~pat... | ~wise(lucy) | [] | null | 0 |
Everyone who is not creative is calm. If someone is patient then someone is humble or generous. Everyone who is strong is both not calm and kind and vice versa. If susan is either not brave or not quiet then someone is not tall or tall and vice versa. Everyone who is either quiet or not kind is both humble and funny an... | Lucy is creative. | contradiction | (![X]:(~creative(X)=>calm(X)))&
((?[X]:(patient(X)))=>(?[X]:((humble(X)|generous(X)))))&
(![X]:(strong(X)<=>(~calm(X)&kind(X))))&
(((~brave(susan)<~>~quiet(susan)))<=>(?[X]:((~tall(X)|tall(X)))))&
(![X]:((quiet(X)<~>~kind(X))<=>(humble(X)&funny(X))))&
((?[X]:((funny(X)&~quiet(X))))<=>(~creative(lucy)))&
(![X]:((~quiet(... | creative(lucy) | [
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4239954507499439146440226
% SZS output start Proof for 4239954507499439146440226
15. ! [X0] : (creative(X0) => (~strong(X0) <~> happy(X0))) [input p14]
23. ~strong(lucy) & happy(lucy) [input p22]
25. creative(lucy) [input hypothesis]
33. ! [X0] : ((~strong(X0) <~> happy(X0)) | ~creative(X... | 0 |
If someone is either generous or not kind then mary is both not generous and rich.
If fred is not tall or not funny then paul is both not happy and not wise and vice versa.
If someone is not tall or not curious then someone is both kind and not happy and vice versa.
Everyone who is both brave and not old is funny.
Ever... | Paul is not happy. | entailment | ((?[X]:((generous(X)<~>~kind(X))))=>((~generous(mary)&rich(mary))))&
(((~tall(fred)|~funny(fred)))<=>((~happy(paul)&~wise(paul))))&
((?[X]:((~tall(X)|~curious(X))))<=>(?[X]:((kind(X)&~happy(X)))))&
(![X]:((brave(X)&~old(X))=>funny(X)))&
(![X]:((curious(X)|funny(X))<=>(~tall(X)&~calm(X))))&
(![X]:((strong(X)&~strong(X))... | ~happy(paul) | [
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2284456976508695465290728
% SZS output start Proof for 2284456976508695465290728
2. (~funny(fred) | ~tall(fred)) <=> (~wise(paul) & ~happy(paul)) [input p1]
5. ! [X0] : ((funny(X0) | curious(X0)) <=> (~calm(X0) & ~tall(X0))) [input p4]
24. happy(paul) [input hypothesis]
33. ((~funny(fred)... | 0 |
Everyone who is not wise or happy is either not patient or rich. If someone is kind then someone is strong. Everyone who is either old or not curious is not kind or old. Everyone who is old is either kind or funny. If lucy is strong then susan is not funny or not rich and vice versa. Everyone who is patient is both not... | Lucy is patient. | contradiction | (![X]:((~wise(X)|happy(X))=>(~patient(X)<~>rich(X))))&
((?[X]:(kind(X)))=>(?[X]:(strong(X))))&
(![X]:((old(X)<~>~curious(X))=>(~kind(X)|old(X))))&
(![X]:(old(X)=>(kind(X)<~>funny(X))))&
((strong(lucy))<=>((~funny(susan)|~rich(susan))))&
(![X]:(patient(X)=>(~kind(X)&~generous(X))))&
(![X]:((~rich(X)|rich(X))=>~patient(X... | patient(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5775093261847643655809565
% SZS output start Proof for 5775093261847643655809565
7. ! [X0] : ((rich(X0) | ~rich(X0)) => ~patient(X0)) [input p6]
24. patient(lucy) [input hypothesis]
38. ! [X0] : (~patient(X0) | (~rich(X0) & rich(X0))) [ennf transformation 7]
93. ~patient(X0) | rich(X0) [c... | 0 |
Everyone who is not curious or not wise is both quiet and not brave and vice versa.
Everyone who is not patient or funny is either not kind or not humble and vice versa.
If someone is either wise or not funny then john is humble or rich.
If john is either not kind or not quiet then someone is funny and vice versa.
Ever... | John is not wise. | contradiction | (![X]:((~curious(X)|~wise(X))<=>(quiet(X)&~brave(X))))&
(![X]:((~patient(X)|funny(X))<=>(~kind(X)<~>~humble(X))))&
((?[X]:((wise(X)<~>~funny(X))))=>((humble(john)|rich(john))))&
(((~kind(john)<~>~quiet(john)))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)|~curious(X))<=>~quiet(X)))&
((?[X]:(creative(X)))=>(~quiet(lucy)))&
((?... | ~wise(john) | [
"p0",
"p4",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2278131406762272040378604
% SZS output start Proof for 2278131406762272040378604
1. ! [X0] : ((~wise(X0) | ~curious(X0)) <=> (~brave(X0) & quiet(X0))) [input p0]
5. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> ~quiet(X0)) [input p4]
12. ! [X0] : ((generous(X0) & tall(X0)) <=> (~tall(X0) & old... | 0 |
Everyone who is not wise is not rich or not calm.
Everyone who is either not brave or not wise is quiet or not calm.
If someone is not curious or funny then lucy is either calm or not old.
Everyone who is quiet or not strong is both kind and humble.
If lucy is either wise or kind then someone is generous or not kind an... | Lucy is humble. | entailment | (![X]:(~wise(X)=>(~rich(X)|~calm(X))))&
(![X]:((~brave(X)<~>~wise(X))=>(quiet(X)|~calm(X))))&
((?[X]:((~curious(X)|funny(X))))=>((calm(lucy)<~>~old(lucy))))&
(![X]:((quiet(X)|~strong(X))=>(kind(X)&humble(X))))&
(((wise(lucy)<~>kind(lucy)))<=>(?[X]:((generous(X)|~kind(X)))))&
(![X]:((quiet(X)&~calm(X))<=>(strong(X)&~cur... | humble(lucy) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8154277357848940472842714
% SZS output start Proof for 8154277357848940472842714
1. ! [X0] : (~wise(X0) => (~calm(X0) | ~rich(X0))) [input p0]
4. ! [X0] : ((~strong(X0) | quiet(X0)) => (humble(X0) & kind(X0))) [input p3]
5. (wise(lucy) <~> kind(lucy)) <=> ? [X0] : (~kind(X0) | generous(X0... | 0 |
Everyone who is patient or creative is either rich or not strong and vice versa.
Everyone who is funny or curious is creative or not quiet and vice versa.
Everyone who is both not curious and tall is either creative or not quiet and vice versa.
If fred is funny then john is not curious or rich and vice versa.
Everyone ... | Mary is not quiet. | entailment | (![X]:((patient(X)|creative(X))<=>(rich(X)<~>~strong(X))))&
(![X]:((funny(X)|curious(X))<=>(creative(X)|~quiet(X))))&
(![X]:((~curious(X)&tall(X))<=>(creative(X)<~>~quiet(X))))&
((funny(fred))<=>((~curious(john)|rich(john))))&
(![X]:((~rich(X)&~happy(X))<=>~brave(X)))&
((quiet(john))=>(?[X]:((~tall(X)|~generous(X)))))&... | ~quiet(mary) | [
"p0",
"p1",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8773455866515457742728840
% SZS output start Proof for 8773455866515457742728840
1. ! [X0] : ((creative(X0) | patient(X0)) <=> (rich(X0) <~> ~strong(X0))) [input p0]
2. ! [X0] : ((curious(X0) | funny(X0)) <=> (~quiet(X0) | creative(X0))) [input p1]
11. ! [X0] : (~funny(X0) => (~rich(X0) <... | 0 |
Everyone who is not curious is either not calm or not strong.
If john is both not patient and humble then someone is tall.
Everyone who is both quiet and strong is not tall or quiet.
Everyone who is not brave is strong and vice versa.
If fred is happy then fred is quiet.
If susan is either funny or tall then someone is... | Lucy is calm. | neutral | (![X]:(~curious(X)=>(~calm(X)<~>~strong(X))))&
(((~patient(john)&humble(john)))=>(?[X]:(tall(X))))&
(![X]:((quiet(X)&strong(X))=>(~tall(X)|quiet(X))))&
(![X]:(~brave(X)<=>strong(X)))&
((happy(fred))=>(quiet(fred)))&
(((funny(susan)<~>tall(susan)))=>(?[X]:(~generous(X))))&
((~happy(paul))=>(?[X]:((~rich(X)&~creative(X))... | calm(lucy) | [] | null | 0 |
Everyone who is either generous or not tall is funny or happy and vice versa.
Everyone who is both not strong and tall is rich and vice versa.
If someone is both not strong and not quiet then someone is brave or not humble.
Everyone who is both quiet and curious is either not generous or not quiet and vice versa.
Every... | Susan is not generous. | entailment | (![X]:((generous(X)<~>~tall(X))<=>(funny(X)|happy(X))))&
(![X]:((~strong(X)&tall(X))<=>rich(X)))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~kind(X)))&
(![X]:((~funny(X)|kind(X))<=>~happy(X)))&
(((curious(... | ~generous(susan) | [
"p3",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7461226950174586238565283
% SZS output start Proof for 7461226950174586238565283
4. ! [X0] : ((curious(X0) & quiet(X0)) <=> (~generous(X0) <~> ~quiet(X0))) [input p3]
11. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (kind(X0) & tall(X0))) [input p10]
13. ! [X0] : (quiet(X0) <=> (~kind(X0) | ... | 0 |
If someone is brave or humble then someone is not creative or not quiet.
Everyone who is curious is both not rich and not brave and vice versa.
If someone is strong or not rich then susan is both not generous and patient.
Everyone who is both not brave and kind is not curious and vice versa.
If someone is not generous ... | Mary is quiet. | neutral | ((?[X]:((brave(X)|humble(X))))=>(?[X]:((~creative(X)|~quiet(X)))))&
(![X]:(curious(X)<=>(~rich(X)&~brave(X))))&
((?[X]:((strong(X)|~rich(X))))=>((~generous(susan)&patient(susan))))&
(![X]:((~brave(X)&kind(X))<=>~curious(X)))&
((?[X]:(~generous(X)))<=>(~happy(alice)))&
((?[X]:((calm(X)|~curious(X))))<=>(?[X]:((kind(X)<~... | quiet(mary) | [] | null | 0 |
If someone is either brave or not rich then someone is calm and vice versa.
Everyone who is old or kind is old and vice versa.
If susan is either generous or not quiet then lucy is not rich.
Everyone who is wise is creative or happy and vice versa.
Everyone who is funny is both not creative and generous and vice versa.... | Fred is funny. | contradiction | ((?[X]:((brave(X)<~>~rich(X))))<=>(?[X]:(calm(X))))&
(![X]:((old(X)|kind(X))<=>old(X)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)<=>(creative(X)|happy(X))))&
(![X]:(funny(X)<=>(~creative(X)&generous(X))))&
(((tall(paul)<~>~creative(paul)))<=>((calm(lucy)|~creative(lucy))))&
(![X]:((~happy(X)... | funny(fred) | [
"p1",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6680860011550191434743290
% SZS output start Proof for 6680860011550191434743290
2. ! [X0] : ((kind(X0) | old(X0)) <=> old(X0)) [input p1]
13. ! [X0] : (old(X0) => (~funny(X0) & ~humble(X0))) [input p12]
15. ! [X0] : (old(X0) <=> (~kind(X0) | happy(X0))) [input p14]
24. funny(fred) [input... | 0 |
Everyone who is wise or not old is either not happy or strong.
Everyone who is both not old and not brave is kind and vice versa.
If paul is either not kind or not humble then someone is patient or calm.
If fred is either not happy or rich then lucy is not wise.
Everyone who is either creative or patient is not strong ... | Mary is not kind. | contradiction | (![X]:((wise(X)|~old(X))=>(~happy(X)<~>strong(X))))&
(![X]:((~old(X)&~brave(X))<=>kind(X)))&
(((~kind(paul)<~>~humble(paul)))=>(?[X]:((patient(X)|calm(X)))))&
(((~happy(fred)<~>rich(fred)))=>(~wise(lucy)))&
(![X]:((creative(X)<~>patient(X))=>(~strong(X)|quiet(X))))&
((?[X]:((~wise(X)<~>~humble(X))))=>(?[X]:((generous(X... | ~kind(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5590728871568147469610429
% SZS output start Proof for 5590728871568147469610429
18. ~humble(mary) & kind(mary) [input p17]
25. ~kind(mary) [input hypothesis]
134. kind(mary) [cnf transformation 18]
145. ~kind(mary) [cnf transformation 25]
295. $false [subsumption resolution 145,134]
% SZ... | 0 |
Everyone who is both strong and not generous is both kind and old and vice versa.
Everyone who is both brave and calm is both not old and not curious.
If someone is not old or not curious then mary is both wise and tall and vice versa.
If someone is both patient and calm then paul is both not quiet and wise and vice ve... | Alice is not calm. | contradiction | (![X]:((strong(X)&~generous(X))<=>(kind(X)&old(X))))&
(![X]:((brave(X)&calm(X))=>(~old(X)&~curious(X))))&
((?[X]:((~old(X)|~curious(X))))<=>((wise(mary)&tall(mary))))&
((?[X]:((patient(X)&calm(X))))<=>((~quiet(paul)&wise(paul))))&
(![X]:((~creative(X)<~>~patient(X))<=>~creative(X)))&
((~curious(alice))=>(?[X]:(~humble(... | ~calm(alice) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6088349493053678290202106
% SZS output start Proof for 6088349493053678290202106
5. ! [X0] : ((~creative(X0) <~> ~patient(X0)) <=> ~creative(X0)) [input p4]
13. ! [X0] : ((patient(X0) & ~calm(X0)) => (~funny(X0) & calm(X0))) [input p12]
24. ~calm(alice) [input hypothesis]
35. ! [X0] : ((~... | 0 |
Everyone who is either not quiet or wise is not brave.
Everyone who is quiet or not strong is not happy and vice versa.
If john is not creative then fred is kind and vice versa.
Everyone who is either not wise or humble is both not old and not kind and vice versa.
Everyone who is both not generous and funny is either n... | Fred is old. | entailment | (![X]:((~quiet(X)<~>wise(X))=>~brave(X)))&
(![X]:((quiet(X)|~strong(X))<=>~happy(X)))&
((~creative(john))<=>(kind(fred)))&
(![X]:((~wise(X)<~>humble(X))<=>(~old(X)&~kind(X))))&
(![X]:((~generous(X)&funny(X))<=>(~strong(X)<~>humble(X))))&
(![X]:(old(X)<=>kind(X)))&
(![X]:((wise(X)<~>~wise(X))=>(curious(X)<~>patient(X)))... | old(fred) | [
"p1",
"p2",
"p4",
"p5",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7560148977301603818989719
% SZS output start Proof for 7560148977301603818989719
2. ! [X0] : ((~strong(X0) | quiet(X0)) <=> ~happy(X0)) [input p1]
3. ~creative(john) <=> kind(fred) [input p2]
5. ! [X0] : ((funny(X0) & ~generous(X0)) <=> (~strong(X0) <~> humble(X0))) [input p4]
6. ! [X0] :... | 0 |
Everyone who is either generous or not generous is both not curious and creative and vice versa. If alice is both calm and not strong then someone is both not quiet and not brave. Everyone who is not strong or strong is both wise and not patient. If john is both brave and not generous then susan is either not creative ... | Susan is strong. | neutral | (![X]:((generous(X)<~>~generous(X))<=>(~curious(X)&creative(X))))&
(((calm(alice)&~strong(alice)))=>(?[X]:((~quiet(X)&~brave(X)))))&
(![X]:((~strong(X)|strong(X))=>(wise(X)&~patient(X))))&
(((brave(john)&~generous(john)))=>((~creative(susan)<~>humble(susan))))&
(![X]:((brave(X)<~>~happy(X))<=>(~creative(X)|old(X))))&
(... | strong(susan) | [] | null | 0 |
If someone is both tall and kind then someone is either not brave or kind. If someone is not funny then fred is both generous and funny. Everyone who is creative or not calm is not kind or not curious and vice versa. Everyone who is rich or not strong is not brave or not kind and vice versa. Everyone who is not kind or... | Alice is not creative. | entailment | ((?[X]:((tall(X)&kind(X))))=>(?[X]:((~brave(X)<~>kind(X)))))&
((?[X]:(~funny(X)))=>((generous(fred)&funny(fred))))&
(![X]:((creative(X)|~calm(X))<=>(~kind(X)|~curious(X))))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich... | ~creative(alice) | [
"p2",
"p5",
"p6",
"p9",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 356701977859932140315431
% SZS output start Proof for 356701977859932140315431
3. ! [X0] : ((~calm(X0) | creative(X0)) <=> (~curious(X0) | ~kind(X0))) [input p2]
6. ! [X0] : (creative(X0) <=> rich(X0)) [input p5]
7. rich(alice) <=> (~happy(mary) & patient(mary)) [input p6]
10. ! [X0] : ((... | 0 |
Everyone who is tall or humble is humble. If someone is both not generous and tall then someone is creative or calm and vice versa. If john is not happy then fred is tall or kind. Everyone who is either generous or humble is both brave and generous and vice versa. If someone is either not humble or not brave then paul ... | Fred is rich. | neutral | (![X]:((tall(X)|humble(X))=>humble(X)))&
((?[X]:((~generous(X)&tall(X))))<=>(?[X]:((creative(X)|calm(X)))))&
((~happy(john))=>((tall(fred)|kind(fred))))&
(![X]:((generous(X)<~>humble(X))<=>(brave(X)&generous(X))))&
((?[X]:((~humble(X)<~>~brave(X))))<=>(happy(paul)))&
(![X]:((quiet(X)&~generous(X))<=>(~patient(X)<~>calm... | rich(fred) | [] | null | 0 |
If someone is both rich and wise then alice is quiet or not brave and vice versa. Everyone who is not happy is both old and not generous and vice versa. If paul is not quiet then susan is wise. If someone is both strong and curious then paul is either not tall or curious. If someone is both not tall and not strong then... | Susan is calm. | contradiction | ((?[X]:((rich(X)&wise(X))))<=>((quiet(alice)|~brave(alice))))&
(![X]:(~happy(X)<=>(old(X)&~generous(X))))&
((~quiet(paul))=>(wise(susan)))&
((?[X]:((strong(X)&curious(X))))=>((~tall(paul)<~>curious(paul))))&
((?[X]:((~tall(X)&~strong(X))))<=>((~tall(paul)|old(paul))))&
(![X]:(old(X)<=>(~generous(X)<~>~calm(X))))&
(((~c... | calm(susan) | [
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5536372319614397005838008
% SZS output start Proof for 5536372319614397005838008
12. ! [X0] : ((calm(X0) <~> ~strong(X0)) => (~calm(X0) & ~wise(X0))) [input p11]
20. strong(susan) & quiet(susan) [input p19]
25. calm(susan) [input hypothesis]
34. ! [X0] : ((~calm(X0) & ~wise(X0)) | (calm(X... | 0 |
Everyone who is not creative or not happy is both not humble and strong. Everyone who is not humble or not calm is both not calm and not happy. Everyone who is not calm is not strong. If someone is either not generous or wise then someone is both patient and not old. Everyone who is humble or brave is kind and vice ver... | Lucy is not humble. | contradiction | (![X]:((~creative(X)|~happy(X))=>(~humble(X)&strong(X))))&
(![X]:((~humble(X)|~calm(X))=>(~calm(X)&~happy(X))))&
(![X]:(~calm(X)=>~strong(X)))&
((?[X]:((~generous(X)<~>wise(X))))=>(?[X]:((patient(X)&~old(X)))))&
(![X]:((humble(X)|brave(X))<=>kind(X)))&
(![X]:(tall(X)<=>(patient(X)&tall(X))))&
(![X]:(~old(X)<=>(~calm(X)... | ~humble(lucy) | [
"p0",
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3676043400963413351904413
% SZS output start Proof for 3676043400963413351904413
1. ! [X0] : ((~happy(X0) | ~creative(X0)) => (strong(X0) & ~humble(X0))) [input p0]
2. ! [X0] : ((~calm(X0) | ~humble(X0)) => (~happy(X0) & ~calm(X0))) [input p1]
3. ! [X0] : (~calm(X0) => ~strong(X0)) [input... | 0 |
If someone is quiet or patient then someone is both wise and strong and vice versa. Everyone who is not calm is both generous and not brave and vice versa. If fred is either not happy or quiet then someone is both not rich and tall. If someone is both patient and kind then alice is wise or not old. Everyone who is eith... | Susan is not calm. | contradiction | ((?[X]:((quiet(X)|patient(X))))<=>(?[X]:((wise(X)&strong(X)))))&
(![X]:(~calm(X)<=>(generous(X)&~brave(X))))&
(((~happy(fred)<~>quiet(fred)))=>(?[X]:((~rich(X)&tall(X)))))&
((?[X]:((patient(X)&kind(X))))=>((wise(alice)|~old(alice))))&
(![X]:((~happy(X)<~>rich(X))=>(generous(X)&~old(X))))&
(((~wise(paul)<~>quiet(paul)))... | ~calm(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6126297250498989916160692
% SZS output start Proof for 6126297250498989916160692
9. ? [X0] : (rich(X0) | ~calm(X0)) => (~calm(lucy) & calm(lucy)) [input p8]
23. ~calm(susan) [input hypothesis]
37. (~calm(lucy) & calm(lucy)) | ! [X0] : (~rich(X0) & calm(X0)) [ennf transformation 9]
94. cal... | 0 |
If fred is either tall or generous then susan is both not generous and patient and vice versa. Everyone who is not brave or wise is curious and vice versa. Everyone who is both brave and generous is both not tall and strong and vice versa. If someone is both not rich and calm then someone is old or not quiet. If lucy i... | John is not wise. | neutral | (((tall(fred)<~>generous(fred)))<=>((~generous(susan)&patient(susan))))&
(![X]:((~brave(X)|wise(X))<=>curious(X)))&
(![X]:((brave(X)&generous(X))<=>(~tall(X)&strong(X))))&
((?[X]:((~rich(X)&calm(X))))=>(?[X]:((old(X)|~quiet(X)))))&
(((patient(lucy)|~patient(lucy)))<=>(?[X]:((creative(X)<~>quiet(X)))))&
(((~strong(john)... | ~wise(john) | [] | null | 0 |
If paul is not wise then someone is not calm or not humble.
If someone is both not tall and not calm then someone is both not curious and not patient and vice versa.
If john is not strong or happy then someone is strong and vice versa.
If susan is not patient or not curious then someone is not kind and vice versa.
Ever... | Susan is not funny. | contradiction | ((~wise(paul))=>(?[X]:((~calm(X)|~humble(X)))))&
((?[X]:((~tall(X)&~calm(X))))<=>(?[X]:((~curious(X)&~patient(X)))))&
(((~strong(john)|happy(john)))<=>(?[X]:(strong(X))))&
(((~patient(susan)|~curious(susan)))<=>(?[X]:(~kind(X))))&
(![X]:((~old(X)|~humble(X))=>(~wise(X)&~quiet(X))))&
(![X]:((~patient(X)&rich(X))<=>(curi... | ~funny(susan) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8307620032621340350866887
% SZS output start Proof for 8307620032621340350866887
16. (humble(susan) | funny(susan)) <=> ~humble(susan) [input p15]
17. ~old(susan) & ~humble(susan) [input p16]
23. ~funny(susan) [input hypothesis]
68. ((humble(susan) | funny(susan)) | humble(susan)) & (~hum... | 0 |
Everyone who is happy or humble is either not wise or not happy and vice versa. If someone is not tall then paul is either old or not calm and vice versa. Everyone who is not humble is not quiet and vice versa. Everyone who is not quiet is both not brave and quiet and vice versa. Everyone who is either not wise or stro... | Fred is happy. | entailment | (![X]:((happy(X)|humble(X))<=>(~wise(X)<~>~happy(X))))&
((?[X]:(~tall(X)))<=>((old(paul)<~>~calm(paul))))&
(![X]:(~humble(X)<=>~quiet(X)))&
(![X]:(~quiet(X)<=>(~brave(X)&quiet(X))))&
(![X]:((~wise(X)<~>strong(X))<=>~wise(X)))&
((?[X]:((creative(X)<~>strong(X))))<=>((~wise(paul)<~>~strong(paul))))&
(![X]:((~curious(X)<~... | happy(fred) | [
"p0",
"p2",
"p3",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2011737473580394772117111
% SZS output start Proof for 2011737473580394772117111
1. ! [X0] : ((humble(X0) | happy(X0)) <=> (~wise(X0) <~> ~happy(X0))) [input p0]
3. ! [X0] : (~humble(X0) <=> ~quiet(X0)) [input p2]
4. ! [X0] : (~quiet(X0) <=> (quiet(X0) & ~brave(X0))) [input p3]
10. ! [X0]... | 0 |
If someone is both not rich and not patient then alice is not brave and vice versa.
If someone is either strong or not old then someone is not funny or not strong and vice versa.
Everyone who is not old is not wise and vice versa.
Everyone who is both calm and not funny is both not brave and calm.
Everyone who is brave... | Alice is not brave. | neutral | ((?[X]:((~rich(X)&~patient(X))))<=>(~brave(alice)))&
((?[X]:((strong(X)<~>~old(X))))<=>(?[X]:((~funny(X)|~strong(X)))))&
(![X]:(~old(X)<=>~wise(X)))&
(![X]:((calm(X)&~funny(X))=>(~brave(X)&calm(X))))&
(![X]:(brave(X)=>(rich(X)<~>curious(X))))&
(![X]:(generous(X)<=>(~curious(X)|wise(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((... | ~brave(alice) | [] | null | 0 |
Everyone who is both not patient and patient is not generous or not strong and vice versa.
Everyone who is funny is tall or not happy.
Everyone who is strong or not kind is not quiet or patient and vice versa.
If someone is both kind and not creative then alice is humble.
If fred is not happy then someone is not old.
I... | Fred is old. | neutral | (![X]:((~patient(X)&patient(X))<=>(~generous(X)|~strong(X))))&
(![X]:(funny(X)=>(tall(X)|~happy(X))))&
(![X]:((strong(X)|~kind(X))<=>(~quiet(X)|patient(X))))&
((?[X]:((kind(X)&~creative(X))))=>(humble(alice)))&
((~happy(fred))=>(?[X]:(~old(X))))&
((?[X]:((~calm(X)|~generous(X))))<=>(?[X]:((curious(X)<~>generous(X)))))&... | old(fred) | [] | null | 0 |
Everyone who is either brave or not humble is not kind or curious and vice versa. Everyone who is curious is either not kind or funny and vice versa. If mary is not generous then someone is patient. If paul is either creative or generous then john is either not generous or not curious and vice versa. Everyone who is no... | Alice is not old. | entailment | (![X]:((brave(X)<~>~humble(X))<=>(~kind(X)|curious(X))))&
(![X]:(curious(X)<=>(~kind(X)<~>funny(X))))&
((~generous(mary))=>(?[X]:(patient(X))))&
(((creative(paul)<~>generous(paul)))<=>((~generous(john)<~>~curious(john))))&
(![X]:((~creative(X)|~rich(X))=>~strong(X)))&
(![X]:(~brave(X)<=>(~funny(X)&~wise(X))))&
(![X]:(t... | ~old(alice) | [
"p5",
"p6",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1858009058571374179761988
% SZS output start Proof for 1858009058571374179761988
6. ! [X0] : (~brave(X0) <=> (~wise(X0) & ~funny(X0))) [input p5]
7. ! [X0] : (tall(X0) <=> old(X0)) [input p6]
14. ! [X0] : (~brave(X0) <=> (tall(X0) & wise(X0))) [input p13]
19. wise(alice) & kind(alice) [in... | 0 |
Everyone who is not strong or funny is both not tall and creative and vice versa.
Everyone who is both brave and not kind is not generous and vice versa.
If alice is both wise and not happy then alice is quiet or kind.
If fred is curious then someone is both not happy and not brave.
Everyone who is not tall is happy.
E... | Fred is creative. | entailment | (![X]:((~strong(X)|funny(X))<=>(~tall(X)&creative(X))))&
(![X]:((brave(X)&~kind(X))<=>~generous(X)))&
(((wise(alice)&~happy(alice)))=>((quiet(alice)|kind(alice))))&
((curious(fred))=>(?[X]:((~happy(X)&~brave(X)))))&
(![X]:(~tall(X)=>happy(X)))&
(![X]:((happy(X)<~>~funny(X))<=>(rich(X)<~>~kind(X))))&
(![X]:(funny(X)<=>(... | creative(fred) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7298042796734240266430279
% SZS output start Proof for 7298042796734240266430279
1. ! [X0] : ((funny(X0) | ~strong(X0)) <=> (creative(X0) & ~tall(X0))) [input p0]
7. ! [X0] : (funny(X0) <=> (~curious(X0) | quiet(X0))) [input p6]
12. ! [X0] : (~funny(X0) => quiet(X0)) [input p11]
23. ~crea... | 0 |
Everyone who is not patient is not strong and vice versa.
If someone is not patient or not quiet then someone is humble.
Everyone who is not happy is either not patient or not quiet and vice versa.
If someone is old then fred is either not rich or happy.
Everyone who is both creative and patient is quiet or curious and... | Alice is not generous. | entailment | (![X]:(~patient(X)<=>~strong(X)))&
((?[X]:((~patient(X)|~quiet(X))))=>(?[X]:(humble(X))))&
(![X]:(~happy(X)<=>(~patient(X)<~>~quiet(X))))&
((?[X]:(old(X)))=>((~rich(fred)<~>happy(fred))))&
(![X]:((creative(X)&patient(X))<=>(quiet(X)|curious(X))))&
(![X]:(~brave(X)<=>(~brave(X)<~>~curious(X))))&
((?[X]:((wise(X)|quiet(X... | ~generous(alice) | [
"p2",
"p4",
"p5",
"p6",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8207383961532795770244440
% SZS output start Proof for 8207383961532795770244440
3. ! [X0] : (~happy(X0) <=> (~patient(X0) <~> ~quiet(X0))) [input p2]
5. ! [X0] : ((patient(X0) & creative(X0)) <=> (curious(X0) | quiet(X0))) [input p4]
6. ! [X0] : (~brave(X0) <=> (~brave(X0) <~> ~curious(X... | 0 |
If someone is both happy and not wise then someone is calm.
If susan is either not calm or funny then fred is both not brave and not rich and vice versa.
If someone is both kind and not rich then someone is tall or generous and vice versa.
If mary is either not rich or tall then alice is not old.
Everyone who is both n... | John is curious. | contradiction | ((?[X]:((happy(X)&~wise(X))))=>(?[X]:(calm(X))))&
(((~calm(susan)<~>funny(susan)))<=>((~brave(fred)&~rich(fred))))&
((?[X]:((kind(X)&~rich(X))))<=>(?[X]:((tall(X)|generous(X)))))&
(((~rich(mary)<~>tall(mary)))=>(~old(alice)))&
(![X]:((~old(X)&kind(X))=>(~funny(X)<~>~humble(X))))&
(![X]:(curious(X)=>~calm(X)))&
(![X]:((... | curious(john) | [
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4111711173985118968767928
% SZS output start Proof for 4111711173985118968767928
10. curious(john) => (~brave(lucy) & kind(lucy)) [input p9]
13. ! [X0] : (brave(X0) <=> (funny(X0) | ~quiet(X0))) [input p12]
15. funny(lucy) <=> (~generous(alice) <~> generous(alice)) [input p14]
25. curious... | 0 |
If paul is brave or not brave then someone is both humble and not creative and vice versa. Everyone who is either not creative or creative is both not tall and rich. If someone is either not calm or calm then mary is both not happy and brave and vice versa. Everyone who is either not strong or not patient is either wis... | Alice is not curious. | neutral | (((brave(paul)|~brave(paul)))<=>(?[X]:((humble(X)&~creative(X)))))&
(![X]:((~creative(X)<~>creative(X))=>(~tall(X)&rich(X))))&
((?[X]:((~calm(X)<~>calm(X))))<=>((~happy(mary)&brave(mary))))&
(![X]:((~strong(X)<~>~patient(X))=>(wise(X)<~>~tall(X))))&
(![X]:(generous(X)<=>~curious(X)))&
((?[X]:(~kind(X)))=>(?[X]:((patien... | ~curious(alice) | [] | null | 0 |
If susan is not generous or not strong then alice is either curious or not rich and vice versa. Everyone who is either rich or patient is not calm or old. Everyone who is not old is both patient and not rich and vice versa. If alice is not quiet then susan is not creative. If someone is old or not quiet then fred is br... | Alice is kind. | entailment | (((~generous(susan)|~strong(susan)))<=>((curious(alice)<~>~rich(alice))))&
(![X]:((rich(X)<~>patient(X))=>(~calm(X)|old(X))))&
(![X]:(~old(X)<=>(patient(X)&~rich(X))))&
((~quiet(alice))=>(~creative(susan)))&
((?[X]:((old(X)|~quiet(X))))<=>(brave(fred)))&
(![X]:((~old(X)&brave(X))<=>tall(X)))&
(![X]:((~rich(X)&happy(X))... | kind(alice) | [
"p0",
"p2",
"p5",
"p7",
"p8",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8595462959206710789806564
% SZS output start Proof for 8595462959206710789806564
1. (~strong(susan) | ~generous(susan)) <=> (curious(alice) <~> ~rich(alice)) [input p0]
3. ! [X0] : (~old(X0) <=> (~rich(X0) & patient(X0))) [input p2]
6. ! [X0] : ((brave(X0) & ~old(X0)) <=> tall(X0)) [input... | 0 |
If someone is either brave or humble then lucy is strong.
Everyone who is brave or happy is happy.
If fred is not kind or not wise then someone is not strong or kind and vice versa.
If someone is brave or not rich then someone is rich or not quiet and vice versa.
If mary is either patient or not kind then someone is no... | Lucy is not humble. | entailment | ((?[X]:((brave(X)<~>humble(X))))=>(strong(lucy)))&
(![X]:((brave(X)|happy(X))=>happy(X)))&
(((~kind(fred)|~wise(fred)))<=>(?[X]:((~strong(X)|kind(X)))))&
((?[X]:((brave(X)|~rich(X))))<=>(?[X]:((rich(X)|~quiet(X)))))&
(((patient(mary)<~>~kind(mary)))<=>(?[X]:((~calm(X)|~kind(X)))))&
(((~curious(john)|~calm(john)))=>((~c... | ~humble(lucy) | [
"p0",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 706335873507567704182008
% SZS output start Proof for 706335873507567704182008
1. ? [X0] : (brave(X0) <~> humble(X0)) => strong(lucy) [input p0]
10. humble(lucy) => (~strong(lucy) & patient(lucy)) [input p9]
11. (~humble(alice) & strong(alice)) <=> ? [X0] : (brave(X0) | ~strong(X0)) [inpu... | 0 |
Everyone who is not tall or happy is kind and vice versa. If john is both brave and rich then susan is either humble or not curious. Everyone who is tall or not generous is both curious and humble. If susan is both quiet and tall then lucy is not rich. Everyone who is both creative and not tall is not quiet or not gene... | John is strong. | contradiction | (![X]:((~tall(X)|happy(X))<=>kind(X)))&
(((brave(john)&rich(john)))=>((humble(susan)<~>~curious(susan))))&
(![X]:((tall(X)|~generous(X))=>(curious(X)&humble(X))))&
(((quiet(susan)&tall(susan)))=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
(... | strong(john) | [
"p2",
"p8",
"p9",
"p10",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 910932976417981519627426
% SZS output start Proof for 910932976417981519627426
3. ! [X0] : ((~generous(X0) | tall(X0)) => (humble(X0) & curious(X0))) [input p2]
9. ! [X0] : ((~happy(X0) | tall(X0)) <=> (curious(X0) <~> wise(X0))) [input p8]
10. ! [X0] : ((wise(X0) & ~creative(X0)) <=> str... | 0 |
Everyone who is both not rich and not humble is either old or rich and vice versa. If someone is either not humble or kind then alice is not happy or not humble. Everyone who is calm or not brave is not old. Everyone who is both not calm and patient is not strong or not tall and vice versa. If john is both not brave an... | Mary is not funny. | contradiction | (![X]:((~rich(X)&~humble(X))<=>(old(X)<~>rich(X))))&
((?[X]:((~humble(X)<~>kind(X))))=>((~happy(alice)|~humble(alice))))&
(![X]:((calm(X)|~brave(X))=>~old(X)))&
(![X]:((~calm(X)&patient(X))<=>(~strong(X)|~tall(X))))&
(((~brave(john)&rich(john)))<=>(?[X]:((patient(X)|~strong(X)))))&
(((~quiet(alice)<~>generous(alice)))<... | ~funny(mary) | [
"p0",
"p2",
"p3",
"p4",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3887442789516697960866715
% SZS output start Proof for 3887442789516697960866715
1. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> (old(X0) <~> rich(X0))) [input p0]
3. ! [X0] : ((~brave(X0) | calm(X0)) => ~old(X0)) [input p2]
4. ! [X0] : ((patient(X0) & ~calm(X0)) <=> (~tall(X0) | ~strong(X0)))... | 0 |
If susan is funny or not tall then someone is not humble or quiet. Everyone who is not kind is patient. If lucy is not patient then someone is either not curious or tall. If alice is humble or old then someone is patient and vice versa. Everyone who is not humble is not quiet. Everyone who is both tall and kind is not ... | Fred is not funny. | neutral | (((funny(susan)|~tall(susan)))=>(?[X]:((~humble(X)|quiet(X)))))&
(![X]:(~kind(X)=>patient(X)))&
((~patient(lucy))=>(?[X]:((~curious(X)<~>tall(X)))))&
(((humble(alice)|old(alice)))<=>(?[X]:(patient(X))))&
(![X]:(~humble(X)=>~quiet(X)))&
(![X]:((tall(X)&kind(X))=>(~calm(X)|~rich(X))))&
(![X]:((wise(X)<~>~tall(X))<=>~old(... | ~funny(fred) | [] | null | 0 |
Everyone who is kind or wise is both tall and curious and vice versa. Everyone who is tall or quiet is both not happy and not humble. Everyone who is both not creative and not old is not creative or happy and vice versa. If someone is both not quiet and funny then someone is both curious and old and vice versa. Everyon... | Susan is humble. | contradiction | (![X]:((kind(X)|wise(X))<=>(tall(X)&curious(X))))&
(![X]:((tall(X)|quiet(X))=>(~happy(X)&~humble(X))))&
(![X]:((~creative(X)&~old(X))<=>(~creative(X)|happy(X))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((curious(X)&old(X)))))&
(![X]:((~generous(X)&~quiet(X))<=>(happy(X)|wise(X))))&
(![X]:((kind(X)<~>humble(X))=>~patien... | humble(susan) | [
"p1",
"p2",
"p3",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1115153843413670039992997
% SZS output start Proof for 1115153843413670039992997
2. ! [X0] : ((quiet(X0) | tall(X0)) => (~humble(X0) & ~happy(X0))) [input p1]
3. ! [X0] : ((~old(X0) & ~creative(X0)) <=> (happy(X0) | ~creative(X0))) [input p2]
4. ? [X0] : (funny(X0) & ~quiet(X0)) <=> ? [X0... | 0 |
Everyone who is either kind or curious is both not rich and creative and vice versa.
If susan is quiet or tall then someone is both calm and not rich.
If mary is both not creative and funny then lucy is either not quiet or old and vice versa.
Everyone who is both not creative and tall is both funny and curious.
Everyon... | Fred is not kind. | neutral | (![X]:((kind(X)<~>curious(X))<=>(~rich(X)&creative(X))))&
(((quiet(susan)|tall(susan)))=>(?[X]:((calm(X)&~rich(X)))))&
(((~creative(mary)&funny(mary)))<=>((~quiet(lucy)<~>old(lucy))))&
(![X]:((~creative(X)&tall(X))=>(funny(X)&curious(X))))&
(![X]:(~patient(X)<=>(~old(X)<~>calm(X))))&
(((~creative(john)&happy(john)))=>(... | ~kind(fred) | [] | null | 0 |
Everyone who is not patient or not brave is generous.
If alice is kind then john is not humble or not patient and vice versa.
Everyone who is either calm or happy is brave.
If someone is not old then someone is both not kind and not strong and vice versa.
Everyone who is not funny is funny or not humble and vice versa.... | John is funny. | contradiction | (![X]:((~patient(X)|~brave(X))=>generous(X)))&
((kind(alice))<=>((~humble(john)|~patient(john))))&
(![X]:((calm(X)<~>happy(X))=>brave(X)))&
((?[X]:(~old(X)))<=>(?[X]:((~kind(X)&~strong(X)))))&
(![X]:(~funny(X)<=>(funny(X)|~humble(X))))&
(((kind(john)|~humble(john)))<=>((funny(paul)<~>~rich(paul))))&
(![X]:((wise(X)<~>~... | funny(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6163765611487914862833537
% SZS output start Proof for 6163765611487914862833537
5. ! [X0] : (~funny(X0) <=> (~humble(X0) | funny(X0))) [input p4]
23. funny(john) [input hypothesis]
42. ! [X0] : ((~funny(X0) | (humble(X0) & ~funny(X0))) & ((~humble(X0) | funny(X0)) | funny(X0))) [nnf tran... | 0 |
Everyone who is both curious and not quiet is not happy.
Everyone who is either wise or humble is both not rich and tall and vice versa.
Everyone who is either humble or not strong is both not tall and happy.
If someone is not tall then paul is not brave.
Everyone who is not rich is either not tall or strong and vice v... | Lucy is wise. | neutral | (![X]:((curious(X)&~quiet(X))=>~happy(X)))&
(![X]:((wise(X)<~>humble(X))<=>(~rich(X)&tall(X))))&
(![X]:((humble(X)<~>~strong(X))=>(~tall(X)&happy(X))))&
((?[X]:(~tall(X)))=>(~brave(paul)))&
(![X]:(~rich(X)<=>(~tall(X)<~>strong(X))))&
((?[X]:((strong(X)<~>~old(X))))=>(?[X]:((~kind(X)<~>calm(X)))))&
(![X]:(tall(X)=>(~tal... | wise(lucy) | [] | null | 0 |
Everyone who is both not quiet and not generous is both rich and not funny and vice versa. Everyone who is curious or not wise is creative or tall. Everyone who is both not kind and not calm is both strong and not quiet. Everyone who is rich is not patient or happy and vice versa. If someone is both curious and not old... | John is not quiet. | contradiction | (![X]:((~quiet(X)&~generous(X))<=>(rich(X)&~funny(X))))&
(![X]:((curious(X)|~wise(X))=>(creative(X)|tall(X))))&
(![X]:((~kind(X)&~calm(X))=>(strong(X)&~quiet(X))))&
(![X]:(rich(X)<=>(~patient(X)|happy(X))))&
((?[X]:((curious(X)&~old(X))))<=>((calm(alice)|~brave(alice))))&
(![X]:(brave(X)<=>(~brave(X)<~>~generous(X))))&... | ~quiet(john) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2188890193651217438654419
% SZS output start Proof for 2188890193651217438654419
1. ! [X0] : ((~generous(X0) & ~quiet(X0)) <=> (~funny(X0) & rich(X0))) [input p0]
2. ! [X0] : ((~wise(X0) | curious(X0)) => (tall(X0) | creative(X0))) [input p1]
4. ! [X0] : (rich(X0) <=> (happy(X0) | ~patien... | 0 |
Everyone who is not wise is both not tall and not funny.
Everyone who is patient is both not quiet and not funny and vice versa.
Everyone who is happy or not patient is not happy and vice versa.
If lucy is not wise or not strong then someone is both not calm and humble and vice versa.
If someone is either tall or humbl... | Alice is not wise. | contradiction | (![X]:(~wise(X)=>(~tall(X)&~funny(X))))&
(![X]:(patient(X)<=>(~quiet(X)&~funny(X))))&
(![X]:((happy(X)|~patient(X))<=>~happy(X)))&
(((~wise(lucy)|~strong(lucy)))<=>(?[X]:((~calm(X)&humble(X)))))&
((?[X]:((tall(X)<~>humble(X))))=>((~quiet(alice)<~>~old(alice))))&
(((~happy(alice)|~humble(alice)))=>((wise(alice)<~>patien... | ~wise(alice) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2314163360854984925300733
% SZS output start Proof for 2314163360854984925300733
3. ! [X0] : ((~patient(X0) | happy(X0)) <=> ~happy(X0)) [input p2]
6. (~humble(alice) | ~happy(alice)) => (wise(alice) <~> patient(alice)) [input p5]
25. ~wise(alice) [input hypothesis]
29. (wise(alice) <~> p... | 0 |
If lucy is both not wise and not happy then someone is either not rich or rich.
Everyone who is both not wise and tall is either quiet or not old.
Everyone who is both patient and brave is not humble.
Everyone who is either not brave or brave is both not quiet and not brave.
If someone is quiet or not generous then fre... | Paul is humble. | contradiction | (((~wise(lucy)&~happy(lucy)))=>(?[X]:((~rich(X)<~>rich(X)))))&
(![X]:((~wise(X)&tall(X))=>(quiet(X)<~>~old(X))))&
(![X]:((patient(X)&brave(X))=>~humble(X)))&
(![X]:((~brave(X)<~>brave(X))=>(~quiet(X)&~brave(X))))&
((?[X]:((quiet(X)|~generous(X))))<=>((~funny(fred)|~brave(fred))))&
(![X]:((~humble(X)<~>~funny(X))<=>(wis... | humble(paul) | [
"p3",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 744216740047587302610933
% SZS output start Proof for 744216740047587302610933
4. ! [X0] : ((~brave(X0) <~> brave(X0)) => (~brave(X0) & ~quiet(X0))) [input p3]
6. ! [X0] : ((~humble(X0) <~> ~funny(X0)) <=> (creative(X0) & wise(X0))) [input p5]
10. ! [X0] : ((brave(X0) | ~brave(X0)) <=> (q... | 0 |
If alice is quiet or generous then someone is both quiet and patient.
Everyone who is both not patient and not humble is generous or not quiet and vice versa.
If fred is not rich or calm then alice is not humble and vice versa.
Everyone who is both not calm and kind is quiet or happy and vice versa.
If fred is both not... | Fred is calm. | neutral | (((quiet(alice)|generous(alice)))=>(?[X]:((quiet(X)&patient(X)))))&
(![X]:((~patient(X)&~humble(X))<=>(generous(X)|~quiet(X))))&
(((~rich(fred)|calm(fred)))<=>(~humble(alice)))&
(![X]:((~calm(X)&kind(X))<=>(quiet(X)|happy(X))))&
(((~quiet(fred)&wise(fred)))=>(?[X]:(~kind(X))))&
(![X]:((~calm(X)<~>~wise(X))=>rich(X)))&
... | calm(fred) | [] | null | 0 |
Everyone who is either not funny or not strong is not creative and vice versa.
Everyone who is not old is both wise and not rich and vice versa.
Everyone who is both happy and funny is generous or not funny and vice versa.
Everyone who is not tall is not rich or tall and vice versa.
If paul is both not rich and not str... | Susan is not happy. | contradiction | (![X]:((~funny(X)<~>~strong(X))<=>~creative(X)))&
(![X]:(~old(X)<=>(wise(X)&~rich(X))))&
(![X]:((happy(X)&funny(X))<=>(generous(X)|~funny(X))))&
(![X]:(~tall(X)<=>(~rich(X)|tall(X))))&
(((~rich(paul)&~strong(paul)))=>(?[X]:((old(X)|patient(X)))))&
((?[X]:((~calm(X)&~quiet(X))))<=>(?[X]:((tall(X)|generous(X)))))&
((?[X]... | ~happy(susan) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7315567128187960651816835
% SZS output start Proof for 7315567128187960651816835
3. ! [X0] : ((funny(X0) & happy(X0)) <=> (~funny(X0) | generous(X0))) [input p2]
14. ! [X0] : ((~happy(X0) <~> ~generous(X0)) <=> (brave(X0) | ~happy(X0))) [input p13]
19. ~happy(susan) [input hypothesis]
35.... | 0 |
If fred is not creative or not wise then alice is both not old and quiet.
If someone is either not creative or not curious then mary is either calm or not funny and vice versa.
Everyone who is not wise or old is both old and strong.
Everyone who is either kind or generous is both funny and not calm.
Everyone who is not... | Mary is curious. | contradiction | (((~creative(fred)|~wise(fred)))=>((~old(alice)&quiet(alice))))&
((?[X]:((~creative(X)<~>~curious(X))))<=>((calm(mary)<~>~funny(mary))))&
(![X]:((~wise(X)|old(X))=>(old(X)&strong(X))))&
(![X]:((kind(X)<~>generous(X))=>(funny(X)&~calm(X))))&
(![X]:(~happy(X)=>(~funny(X)<~>~kind(X))))&
(![X]:((calm(X)&old(X))=>(curious(X... | curious(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 179526496060480702570268
% SZS output start Proof for 179526496060480702570268
18. ~curious(mary) [input p17]
25. curious(mary) [input hypothesis]
126. ~curious(mary) [cnf transformation 18]
133. curious(mary) [cnf transformation 25]
257. 27 <=> curious(mary) [avatar definition]
295. ~27 ... | 0 |
Everyone who is kind or creative is humble.
Everyone who is wise is rich or not curious.
Everyone who is not humble or humble is both not humble and not creative.
Everyone who is not funny is not old or not rich and vice versa.
If someone is both rich and tall then paul is either old or patient.
If susan is either brav... | Paul is not brave. | contradiction | (![X]:((kind(X)|creative(X))=>humble(X)))&
(![X]:(wise(X)=>(rich(X)|~curious(X))))&
(![X]:((~humble(X)|humble(X))=>(~humble(X)&~creative(X))))&
(![X]:(~funny(X)<=>(~old(X)|~rich(X))))&
((?[X]:((rich(X)&tall(X))))=>((old(paul)<~>patient(paul))))&
(((brave(susan)<~>~funny(susan)))<=>(?[X]:((curious(X)<~>~strong(X)))))&
(... | ~brave(paul) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 67044222488380331911121
% SZS output start Proof for 67044222488380331911121
1. ! [X0] : ((creative(X0) | kind(X0)) => humble(X0)) [input p0]
3. ! [X0] : ((humble(X0) | ~humble(X0)) => (~creative(X0) & ~humble(X0))) [input p2]
4. ! [X0] : (~funny(X0) <=> (~rich(X0) | ~old(X0))) [input p3]... | 0 |
Everyone who is not quiet or not brave is both rich and not funny.
Everyone who is either tall or creative is not patient.
Everyone who is brave is calm or strong.
Everyone who is both not old and not kind is either not creative or calm and vice versa.
If susan is strong then someone is both brave and not kind and vice... | Paul is not wise. | entailment | (![X]:((~quiet(X)|~brave(X))=>(rich(X)&~funny(X))))&
(![X]:((tall(X)<~>creative(X))=>~patient(X)))&
(![X]:(brave(X)=>(calm(X)|strong(X))))&
(![X]:((~old(X)&~kind(X))<=>(~creative(X)<~>calm(X))))&
((strong(susan))<=>(?[X]:((brave(X)&~kind(X)))))&
((?[X]:((quiet(X)&generous(X))))<=>((patient(alice)&strong(alice))))&
((?[... | ~wise(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4775493232342316007227494
% SZS output start Proof for 4775493232342316007227494
7. ? [X0] : wise(X0) <=> (~generous(susan) & generous(susan)) [input p6]
22. wise(paul) [input hypothesis]
43. (? [X0] : wise(X0) | (generous(susan) | ~generous(susan))) & ((~generous(susan) & generous(susan)... | 0 |
Everyone who is both not curious and not rich is either kind or not patient.
If someone is either not strong or calm then someone is both not wise and not rich.
Everyone who is either old or not old is both not wise and brave.
Everyone who is wise or kind is both not creative and not generous and vice versa.
If someone... | Mary is generous. | neutral | (![X]:((~curious(X)&~rich(X))=>(kind(X)<~>~patient(X))))&
((?[X]:((~strong(X)<~>calm(X))))=>(?[X]:((~wise(X)&~rich(X)))))&
(![X]:((old(X)<~>~old(X))=>(~wise(X)&brave(X))))&
(![X]:((wise(X)|kind(X))<=>(~creative(X)&~generous(X))))&
((?[X]:((brave(X)&~patient(X))))<=>(?[X]:((old(X)|~wise(X)))))&
(![X]:((wise(X)|kind(X))<... | generous(mary) | [] | null | 0 |
If fred is not humble or not old then susan is both kind and quiet and vice versa.
Everyone who is either rich or funny is not creative and vice versa.
Everyone who is both strong and not wise is either strong or not strong.
Everyone who is either humble or not strong is not wise or patient.
Everyone who is either not ... | Susan is wise. | contradiction | (((~humble(fred)|~old(fred)))<=>((kind(susan)&quiet(susan))))&
(![X]:((rich(X)<~>funny(X))<=>~creative(X)))&
(![X]:((strong(X)&~wise(X))=>(strong(X)<~>~strong(X))))&
(![X]:((humble(X)<~>~strong(X))=>(~wise(X)|patient(X))))&
(![X]:((~old(X)<~>~strong(X))<=>brave(X)))&
(![X]:((~rich(X)&old(X))<=>(funny(X)|wise(X))))&
((?... | wise(susan) | [
"p1",
"p4",
"p5",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4151753805954865712108416
% SZS output start Proof for 4151753805954865712108416
2. ! [X0] : ((rich(X0) <~> funny(X0)) <=> ~creative(X0)) [input p1]
5. ! [X0] : ((~old(X0) <~> ~strong(X0)) <=> brave(X0)) [input p4]
6. ! [X0] : ((old(X0) & ~rich(X0)) <=> (wise(X0) | funny(X0))) [input p5]
... | 0 |
Everyone who is either not happy or humble is happy.
If someone is both wise and not curious then someone is tall.
If mary is wise or not tall then someone is both not happy and not patient.
Everyone who is creative is both curious and not quiet.
If someone is quiet then mary is rich or calm and vice versa.
Everyone wh... | Paul is happy. | entailment | (![X]:((~happy(X)<~>humble(X))=>happy(X)))&
((?[X]:((wise(X)&~curious(X))))=>(?[X]:(tall(X))))&
(((wise(mary)|~tall(mary)))=>(?[X]:((~happy(X)&~patient(X)))))&
(![X]:(creative(X)=>(curious(X)&~quiet(X))))&
((?[X]:(quiet(X)))<=>((rich(mary)|calm(mary))))&
(![X]:(patient(X)<=>(~patient(X)|happy(X))))&
(((kind(paul)&tall(... | happy(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7711919116908449541885904
% SZS output start Proof for 7711919116908449541885904
6. ! [X0] : (patient(X0) <=> (happy(X0) | ~patient(X0))) [input p5]
25. ~happy(paul) [input hypothesis]
50. ! [X0] : ((patient(X0) | (~happy(X0) & patient(X0))) & ((happy(X0) | ~patient(X0)) | ~patient(X0))) ... | 0 |
Everyone who is either humble or quiet is curious.
Everyone who is not patient is tall or kind and vice versa.
If someone is tall or not creative then john is not calm and vice versa.
Everyone who is either not happy or old is either wise or not happy.
Everyone who is kind or not funny is both not creative and not funn... | Susan is not patient. | entailment | (![X]:((humble(X)<~>quiet(X))=>curious(X)))&
(![X]:(~patient(X)<=>(tall(X)|kind(X))))&
((?[X]:((tall(X)|~creative(X))))<=>(~calm(john)))&
(![X]:((~happy(X)<~>old(X))=>(wise(X)<~>~happy(X))))&
(![X]:((kind(X)|~funny(X))<=>(~creative(X)&~funny(X))))&
(((funny(susan)|kind(susan)))=>((kind(susan)|~funny(susan))))&
((?[X]:(... | ~patient(susan) | [
"p1",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6615623889980160637595557
% SZS output start Proof for 6615623889980160637595557
2. ! [X0] : (~patient(X0) <=> (kind(X0) | tall(X0))) [input p1]
7. ? [X0] : (~patient(X0) <~> old(X0)) => (tall(susan) <~> kind(susan)) [input p6]
16. ! [X0] : ((~generous(X0) | ~old(X0)) => ~patient(X0)) [in... | 0 |
Everyone who is not brave or not happy is not curious or not happy.
If paul is both not strong and not old then someone is both not creative and kind and vice versa.
Everyone who is happy or wise is not happy or rich and vice versa.
Everyone who is old or tall is not happy.
If someone is both not tall and not rich then... | Susan is happy. | contradiction | (![X]:((~brave(X)|~happy(X))=>(~curious(X)|~happy(X))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~creative(X)&kind(X)))))&
(![X]:((happy(X)|wise(X))<=>(~happy(X)|rich(X))))&
(![X]:((old(X)|tall(X))=>~happy(X)))&
((?[X]:((~tall(X)&~rich(X))))=>(?[X]:((patient(X)<~>~quiet(X)))))&
((?[X]:(wise(X)))<=>((~kind(susan)<~>old(... | happy(susan) | [
"p2",
"p3",
"p5",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8668751919161902083529655
% SZS output start Proof for 8668751919161902083529655
3. ! [X0] : ((wise(X0) | happy(X0)) <=> (rich(X0) | ~happy(X0))) [input p2]
4. ! [X0] : ((tall(X0) | old(X0)) => ~happy(X0)) [input p3]
6. ? [X0] : wise(X0) <=> (~kind(susan) <~> old(susan)) [input p5]
16. ! ... | 0 |
Everyone who is creative or not brave is strong and vice versa. If susan is not brave or not humble then someone is wise and vice versa. Everyone who is both not wise and not quiet is humble and vice versa. Everyone who is not happy is not wise. If someone is not creative then john is both not brave and creative and vi... | Fred is generous. | entailment | (![X]:((creative(X)|~brave(X))<=>strong(X)))&
(((~brave(susan)|~humble(susan)))<=>(?[X]:(wise(X))))&
(![X]:((~wise(X)&~quiet(X))<=>humble(X)))&
(![X]:(~happy(X)=>~wise(X)))&
((?[X]:(~creative(X)))<=>((~brave(john)&creative(john))))&
(![X]:((~quiet(X)&happy(X))=>(patient(X)<~>~quiet(X))))&
(![X]:((happy(X)|quiet(X))<=>(... | generous(fred) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5372832045691440993970151
% SZS output start Proof for 5372832045691440993970151
3. ! [X0] : ((~quiet(X0) & ~wise(X0)) <=> humble(X0)) [input p2]
4. ! [X0] : (~happy(X0) => ~wise(X0)) [input p3]
5. ? [X0] : ~creative(X0) <=> (creative(john) & ~brave(john)) [input p4]
7. ! [X0] : ((quiet(X... | 0 |
If someone is both not quiet and patient then someone is either kind or not creative.
Everyone who is not tall or not strong is both generous and patient and vice versa.
Everyone who is both not kind and quiet is not patient and vice versa.
Everyone who is not creative or not strong is tall and vice versa.
Everyone who... | Fred is old. | neutral | ((?[X]:((~quiet(X)&patient(X))))=>(?[X]:((kind(X)<~>~creative(X)))))&
(![X]:((~tall(X)|~strong(X))<=>(generous(X)&patient(X))))&
(![X]:((~kind(X)&quiet(X))<=>~patient(X)))&
(![X]:((~creative(X)|~strong(X))<=>tall(X)))&
(![X]:((old(X)<~>curious(X))=>~quiet(X)))&
(![X]:((quiet(X)&~rich(X))=>(patient(X)<~>rich(X))))&
(((~... | old(fred) | [] | null | 0 |
If lucy is patient then someone is not tall and vice versa.
If mary is wise or brave then mary is both generous and funny.
Everyone who is old or not funny is either not happy or not kind and vice versa.
Everyone who is curious is not humble.
Everyone who is not kind or creative is humble or not kind.
Everyone who is n... | Lucy is curious. | entailment | ((patient(lucy))<=>(?[X]:(~tall(X))))&
(((wise(mary)|brave(mary)))=>((generous(mary)&funny(mary))))&
(![X]:((old(X)|~funny(X))<=>(~happy(X)<~>~kind(X))))&
(![X]:(curious(X)=>~humble(X)))&
(![X]:((~kind(X)|creative(X))=>(humble(X)|~kind(X))))&
(![X]:(~brave(X)<=>~quiet(X)))&
((?[X]:(brave(X)))<=>(?[X]:((rich(X)|wise(X))... | curious(lucy) | [
"p0",
"p13",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4259615652971302732603687
% SZS output start Proof for 4259615652971302732603687
1. patient(lucy) <=> ? [X0] : ~tall(X0) [input p0]
14. ! [X0] : ((old(X0) | ~humble(X0)) => curious(X0)) [input p13]
15. ! [X0] : ((rich(X0) | humble(X0)) => (~patient(X0) & ~strong(X0))) [input p14]
24. ~tal... | 0 |
Everyone who is not brave or calm is both generous and not quiet and vice versa.
If alice is not humble then someone is either not happy or rich.
If someone is both curious and patient then paul is curious or kind and vice versa.
Everyone who is old or calm is not generous or generous.
Everyone who is happy is not curi... | Lucy is not generous. | neutral | (![X]:((~brave(X)|calm(X))<=>(generous(X)&~quiet(X))))&
((~humble(alice))=>(?[X]:((~happy(X)<~>rich(X)))))&
((?[X]:((curious(X)&patient(X))))<=>((curious(paul)|kind(paul))))&
(![X]:((old(X)|calm(X))=>(~generous(X)|generous(X))))&
(![X]:(happy(X)<=>~curious(X)))&
(((~curious(fred)|patient(fred)))<=>(?[X]:((~happy(X)&wis... | ~generous(lucy) | [] | null | 0 |
Everyone who is both patient and not old is not tall or not patient.
If someone is both wise and brave then mary is either happy or generous.
Everyone who is either kind or not kind is happy.
If someone is tall then someone is both tall and not patient and vice versa.
If someone is both not rich and not wise then john ... | Alice is curious. | entailment | (![X]:((patient(X)&~old(X))=>(~tall(X)|~patient(X))))&
((?[X]:((wise(X)&brave(X))))=>((happy(mary)<~>generous(mary))))&
(![X]:((kind(X)<~>~kind(X))=>happy(X)))&
((?[X]:(tall(X)))<=>(?[X]:((tall(X)&~patient(X)))))&
((?[X]:((~rich(X)&~wise(X))))=>((patient(john)&strong(john))))&
((?[X]:((quiet(X)&~calm(X))))<=>(?[X]:((br... | curious(alice) | [
"p2",
"p6",
"p8",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3777299416881831832739723
% SZS output start Proof for 3777299416881831832739723
3. ! [X0] : ((kind(X0) <~> ~kind(X0)) => happy(X0)) [input p2]
7. ! [X0] : ((quiet(X0) | happy(X0)) => (generous(X0) | curious(X0))) [input p6]
9. ! [X0] : ((patient(X0) <~> quiet(X0)) <=> (wise(X0) | happy(X... | 0 |
If someone is either brave or strong then someone is not calm.
Everyone who is not kind is brave.
Everyone who is both not strong and not humble is both not strong and not old and vice versa.
Everyone who is not humble or not curious is not humble or not patient.
If someone is both not strong and strong then mary is ki... | John is not creative. | neutral | ((?[X]:((brave(X)<~>strong(X))))=>(?[X]:(~calm(X))))&
(![X]:(~kind(X)=>brave(X)))&
(![X]:((~strong(X)&~humble(X))<=>(~strong(X)&~old(X))))&
(![X]:((~humble(X)|~curious(X))=>(~humble(X)|~patient(X))))&
((?[X]:((~strong(X)&strong(X))))<=>(kind(mary)))&
((~rich(john))=>(?[X]:((~brave(X)&~curious(X)))))&
((?[X]:(old(X)))<=... | ~creative(john) | [] | null | 0 |
Everyone who is either calm or strong is both not brave and not curious. Everyone who is humble is rich or not strong and vice versa. Everyone who is rich or generous is brave or not happy. If susan is either strong or rich then fred is tall. If someone is quiet or not quiet then someone is generous. Everyone who is ei... | Susan is not old. | neutral | (![X]:((calm(X)<~>strong(X))=>(~brave(X)&~curious(X))))&
(![X]:(humble(X)<=>(rich(X)|~strong(X))))&
(![X]:((rich(X)|generous(X))=>(brave(X)|~happy(X))))&
(((strong(susan)<~>rich(susan)))=>(tall(fred)))&
((?[X]:((quiet(X)|~quiet(X))))=>(?[X]:(generous(X))))&
(![X]:((kind(X)<~>~quiet(X))<=>(~patient(X)&~old(X))))&
(![X]:... | ~old(susan) | [] | null | 0 |
Everyone who is wise is not brave or not curious and vice versa.
If someone is creative then susan is both creative and calm and vice versa.
If someone is kind or not curious then john is calm or not creative and vice versa.
Everyone who is quiet is both old and quiet and vice versa.
Everyone who is not happy or not st... | Fred is not funny. | neutral | (![X]:(wise(X)<=>(~brave(X)|~curious(X))))&
((?[X]:(creative(X)))<=>((creative(susan)&calm(susan))))&
((?[X]:((kind(X)|~curious(X))))<=>((calm(john)|~creative(john))))&
(![X]:(quiet(X)<=>(old(X)&quiet(X))))&
(![X]:((~happy(X)|~strong(X))=>(generous(X)|patient(X))))&
(((~funny(alice)|~patient(alice)))<=>((happy(susan)|~... | ~funny(fred) | [] | null | 0 |
Everyone who is either happy or not generous is not old.
Everyone who is creative or happy is both humble and generous and vice versa.
If susan is not quiet then someone is strong.
If someone is not generous then alice is old.
Everyone who is not quiet or happy is both not strong and not humble and vice versa.
Everyone... | Fred is calm. | contradiction | (![X]:((happy(X)<~>~generous(X))=>~old(X)))&
(![X]:((creative(X)|happy(X))<=>(humble(X)&generous(X))))&
((~quiet(susan))=>(?[X]:(strong(X))))&
((?[X]:(~generous(X)))=>(old(alice)))&
(![X]:((~quiet(X)|happy(X))<=>(~strong(X)&~humble(X))))&
(![X]:((humble(X)|~patient(X))<=>(~brave(X)<~>~funny(X))))&
((generous(susan))<=>... | calm(fred) | [
"p10",
"p11",
"p12",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8991103574306832550376908
% SZS output start Proof for 8991103574306832550376908
11. ? [X0] : strong(X0) => ~calm(fred) [input p10]
12. ! [X0] : (strong(X0) <=> (kind(X0) | ~curious(X0))) [input p11]
13. ! [X0] : ((curious(X0) | happy(X0)) <=> (~calm(X0) & old(X0))) [input p12]
18. creati... | 0 |
Everyone who is not humble or brave is patient or kind.
Everyone who is funny is quiet and vice versa.
Everyone who is both patient and generous is humble or funny.
If someone is both not generous and not calm then mary is both kind and happy and vice versa.
Everyone who is patient or funny is both generous and curious... | Mary is not happy. | contradiction | (![X]:((~humble(X)|brave(X))=>(patient(X)|kind(X))))&
(![X]:(funny(X)<=>quiet(X)))&
(![X]:((patient(X)&generous(X))=>(humble(X)|funny(X))))&
((?[X]:((~generous(X)&~calm(X))))<=>((kind(mary)&happy(mary))))&
(![X]:((patient(X)|funny(X))<=>(generous(X)&curious(X))))&
(![X]:((calm(X)|generous(X))=>(~brave(X)&generous(X))))... | ~happy(mary) | [
"p3",
"p5",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8063779095654958416784309
% SZS output start Proof for 8063779095654958416784309
4. ? [X0] : (~calm(X0) & ~generous(X0)) <=> (happy(mary) & kind(mary)) [input p3]
6. ! [X0] : ((generous(X0) | calm(X0)) => (generous(X0) & ~brave(X0))) [input p5]
13. ! [X0] : ((~calm(X0) | generous(X0)) => ... | 0 |
If someone is brave then john is not generous.
If someone is not generous or not strong then john is brave.
Everyone who is both not humble and strong is not patient or not generous.
If john is humble or not brave then someone is both not calm and curious.
Everyone who is humble or not creative is not humble.
Everyone ... | Mary is not humble. | entailment | ((?[X]:(brave(X)))=>(~generous(john)))&
((?[X]:((~generous(X)|~strong(X))))=>(brave(john)))&
(![X]:((~humble(X)&strong(X))=>(~patient(X)|~generous(X))))&
(((humble(john)|~brave(john)))=>(?[X]:((~calm(X)&curious(X)))))&
(![X]:((humble(X)|~creative(X))=>~humble(X)))&
(![X]:((~rich(X)<~>strong(X))=>(~strong(X)|~generous(X... | ~humble(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4837016634161269412988154
% SZS output start Proof for 4837016634161269412988154
5. ! [X0] : ((~creative(X0) | humble(X0)) => ~humble(X0)) [input p4]
24. humble(mary) [input hypothesis]
38. ! [X0] : (~humble(X0) | (creative(X0) & ~humble(X0))) [ennf transformation 5]
71. ~humble(X0) | ~hu... | 0 |
Everyone who is both old and patient is either not patient or rich and vice versa. If lucy is not humble then mary is either not creative or calm. Everyone who is both rich and not humble is strong. Everyone who is either wise or funny is rich and vice versa. Everyone who is either not generous or tall is not strong an... | Mary is old. | neutral | (![X]:((old(X)&patient(X))<=>(~patient(X)<~>rich(X))))&
((~humble(lucy))=>((~creative(mary)<~>calm(mary))))&
(![X]:((rich(X)&~humble(X))=>strong(X)))&
(![X]:((wise(X)<~>funny(X))<=>rich(X)))&
(![X]:((~generous(X)<~>tall(X))<=>~strong(X)))&
(![X]:((~old(X)&~creative(X))<=>(~humble(X)<~>~happy(X))))&
((?[X]:(~creative(X)... | old(mary) | [] | null | 0 |
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