premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If paul is not strong or not calm then someone is both not wise and not strong and vice versa.
Everyone who is tall or not quiet is not kind or kind.
If susan is either not kind or funny then lucy is happy and vice versa.
If lucy is either not brave or not curious then mary is either not calm or not happy.
If someone i... | Susan is rich. | neutral | (((~strong(paul)|~calm(paul)))<=>(?[X]:((~wise(X)&~strong(X)))))&
(![X]:((tall(X)|~quiet(X))=>(~kind(X)|kind(X))))&
(((~kind(susan)<~>funny(susan)))<=>(happy(lucy)))&
(((~brave(lucy)<~>~curious(lucy)))=>((~calm(mary)<~>~happy(mary))))&
((?[X]:((~patient(X)&~generous(X))))=>(~kind(alice)))&
(((old(mary)|~wise(mary)))=>(... | rich(susan) | [] | null | 0 |
If someone is curious then someone is either brave or not kind and vice versa.
Everyone who is not brave is either quiet or not creative.
If someone is not kind then alice is not tall.
Everyone who is either rich or quiet is both not old and tall and vice versa.
If someone is strong or not strong then susan is wise.
If... | Susan is rich. | contradiction | ((?[X]:(curious(X)))<=>(?[X]:((brave(X)<~>~kind(X)))))&
(![X]:(~brave(X)=>(quiet(X)<~>~creative(X))))&
((?[X]:(~kind(X)))=>(~tall(alice)))&
(![X]:((rich(X)<~>quiet(X))<=>(~old(X)&tall(X))))&
((?[X]:((strong(X)|~strong(X))))=>(wise(susan)))&
(((creative(lucy)&~curious(lucy)))<=>((kind(paul)<~>~tall(paul))))&
(![X]:((~ta... | rich(susan) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8155595299514258461588177
% SZS output start Proof for 8155595299514258461588177
5. ? [X0] : (~strong(X0) | strong(X0)) => wise(susan) [input p4]
12. ? [X0] : (wise(X0) <~> ~rich(X0)) <=> (strong(paul) & ~strong(paul)) [input p11]
25. rich(susan) [input hypothesis]
32. wise(susan) | ! [X0... | 0 |
If alice is both strong and not wise then mary is funny and vice versa. Everyone who is both funny and not curious is not humble and vice versa. If someone is both brave and wise then fred is either not wise or happy and vice versa. If someone is creative then lucy is rich and vice versa. If someone is either not funny... | Mary is curious. | entailment | (((strong(alice)&~wise(alice)))<=>(funny(mary)))&
(![X]:((funny(X)&~curious(X))<=>~humble(X)))&
((?[X]:((brave(X)&wise(X))))<=>((~wise(fred)<~>happy(fred))))&
((?[X]:(creative(X)))<=>(rich(lucy)))&
((?[X]:((~funny(X)<~>~old(X))))<=>(?[X]:(funny(X))))&
(![X]:(wise(X)=>strong(X)))&
(![X]:((humble(X)<~>wise(X))<=>(wise(X)... | curious(mary) | [
"p0",
"p1",
"p5",
"p6",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6911334264766551960640683
% SZS output start Proof for 6911334264766551960640683
1. (~wise(alice) & strong(alice)) <=> funny(mary) [input p0]
2. ! [X0] : ((~curious(X0) & funny(X0)) <=> ~humble(X0)) [input p1]
6. ! [X0] : (wise(X0) => strong(X0)) [input p5]
7. ! [X0] : ((humble(X0) <~> wi... | 0 |
Everyone who is not old is either quiet or generous.
Everyone who is both calm and not old is wise or not funny.
Everyone who is either not rich or not kind is not curious.
Everyone who is either not curious or kind is kind and vice versa.
If alice is both rich and not quiet then lucy is either not brave or kind.
If fr... | Alice is curious. | entailment | (![X]:(~old(X)=>(quiet(X)<~>generous(X))))&
(![X]:((calm(X)&~old(X))=>(wise(X)|~funny(X))))&
(![X]:((~rich(X)<~>~kind(X))=>~curious(X)))&
(![X]:((~curious(X)<~>kind(X))<=>kind(X)))&
(((rich(alice)&~quiet(alice)))=>((~brave(lucy)<~>kind(lucy))))&
((~funny(fred))<=>(?[X]:(kind(X))))&
((?[X]:((~strong(X)|quiet(X))))<=>((~... | curious(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7623527017262357766652060
% SZS output start Proof for 7623527017262357766652060
4. ! [X0] : ((~curious(X0) <~> kind(X0)) <=> kind(X0)) [input p3]
25. ~curious(alice) [input hypothesis]
42. ! [X0] : ((((~kind(X0) | curious(X0)) & (kind(X0) | ~curious(X0))) | ~kind(X0)) & (kind(X0) | ((~cu... | 0 |
Everyone who is both happy and not wise is calm or strong.
Everyone who is tall or not brave is both not kind and not rich and vice versa.
Everyone who is kind is not kind or old and vice versa.
Everyone who is old is not funny.
If alice is not calm then someone is either not curious or generous.
Everyone who is both b... | Fred is not happy. | contradiction | (![X]:((happy(X)&~wise(X))=>(calm(X)|strong(X))))&
(![X]:((tall(X)|~brave(X))<=>(~kind(X)&~rich(X))))&
(![X]:(kind(X)<=>(~kind(X)|old(X))))&
(![X]:(old(X)=>~funny(X)))&
((~calm(alice))=>(?[X]:((~curious(X)<~>generous(X)))))&
(![X]:((brave(X)&patient(X))<=>humble(X)))&
(((patient(paul)&happy(paul)))=>((~strong(john)|~qu... | ~happy(fred) | [
"p1",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4491480013164113258605744
% SZS output start Proof for 4491480013164113258605744
2. ! [X0] : ((~brave(X0) | tall(X0)) <=> (~rich(X0) & ~kind(X0))) [input p1]
3. ! [X0] : (kind(X0) <=> (old(X0) | ~kind(X0))) [input p2]
11. ? [X0] : ~brave(X0) <=> ? [X0] : ~happy(X0) [input p10]
24. ~happy(... | 0 |
Everyone who is either not wise or not tall is either creative or not strong and vice versa.
If lucy is both not wise and strong then lucy is wise or not calm.
If john is both not happy and strong then lucy is funny or curious and vice versa.
Everyone who is brave or not happy is either not wise or not strong.
Everyone... | Alice is creative. | entailment | (![X]:((~wise(X)<~>~tall(X))<=>(creative(X)<~>~strong(X))))&
(((~wise(lucy)&strong(lucy)))=>((wise(lucy)|~calm(lucy))))&
(((~happy(john)&strong(john)))<=>((funny(lucy)|curious(lucy))))&
(![X]:((brave(X)|~happy(X))=>(~wise(X)<~>~strong(X))))&
(![X]:((~patient(X)&patient(X))=>(wise(X)&rich(X))))&
(((~quiet(lucy)<~>quiet(... | creative(alice) | [
"p0",
"p3",
"p12",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6726387732068775873146855
% SZS output start Proof for 6726387732068775873146855
1. ! [X0] : ((~wise(X0) <~> ~tall(X0)) <=> (creative(X0) <~> ~strong(X0))) [input p0]
4. ! [X0] : ((~happy(X0) | brave(X0)) => (~wise(X0) <~> ~strong(X0))) [input p3]
13. ! [X0] : ((curious(X0) <~> ~funny(X0)... | 0 |
Everyone who is funny or wise is either not old or not patient.
If john is not wise or wise then susan is both strong and wise.
If someone is either not humble or not curious then paul is either happy or patient and vice versa.
If someone is either not wise or not calm then susan is either not brave or not strong and v... | Paul is kind. | entailment | (![X]:((funny(X)|wise(X))=>(~old(X)<~>~patient(X))))&
(((~wise(john)|wise(john)))=>((strong(susan)&wise(susan))))&
((?[X]:((~humble(X)<~>~curious(X))))<=>((happy(paul)<~>patient(paul))))&
((?[X]:((~wise(X)<~>~calm(X))))<=>((~brave(susan)<~>~strong(susan))))&
(![X]:(calm(X)=>humble(X)))&
((?[X]:((~calm(X)|creative(X))))... | kind(paul) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1760026185631846808421986
% SZS output start Proof for 1760026185631846808421986
7. ! [X0] : ((strong(X0) | ~strong(X0)) => ~happy(X0)) [input p6]
13. ! [X0] : ((~creative(X0) | ~happy(X0)) <=> kind(X0)) [input p12]
25. ~kind(paul) [input hypothesis]
27. ! [X0] : ((~creative(X0) | ~happy(... | 0 |
Everyone who is kind or brave is curious and vice versa.
Everyone who is either tall or patient is not generous or not wise and vice versa.
Everyone who is rich or not creative is either happy or not patient.
If someone is happy or not calm then john is calm or happy and vice versa.
If fred is creative or not happy the... | Fred is calm. | neutral | (![X]:((kind(X)|brave(X))<=>curious(X)))&
(![X]:((tall(X)<~>patient(X))<=>(~generous(X)|~wise(X))))&
(![X]:((rich(X)|~creative(X))=>(happy(X)<~>~patient(X))))&
((?[X]:((happy(X)|~calm(X))))<=>((calm(john)|happy(john))))&
(((creative(fred)|~happy(fred)))<=>(?[X]:((~quiet(X)&~humble(X)))))&
((?[X]:((brave(X)|creative(X))... | calm(fred) | [] | null | 0 |
If someone is not happy then someone is happy.
If susan is both funny and humble then fred is both not strong and strong.
Everyone who is strong is not creative and vice versa.
If john is both not generous and tall then alice is strong and vice versa.
Everyone who is happy or patient is either not rich or not patient a... | Fred is calm. | neutral | ((?[X]:(~happy(X)))=>(?[X]:(happy(X))))&
(((funny(susan)&humble(susan)))=>((~strong(fred)&strong(fred))))&
(![X]:(strong(X)<=>~creative(X)))&
(((~generous(john)&tall(john)))<=>(strong(alice)))&
(![X]:((happy(X)|patient(X))<=>(~rich(X)<~>~patient(X))))&
((?[X]:((tall(X)|humble(X))))=>((~tall(susan)|wise(susan))))&
((cur... | calm(fred) | [] | null | 0 |
Everyone who is either not brave or not patient is both calm and not kind and vice versa.
Everyone who is either creative or strong is both not rich and generous and vice versa.
Everyone who is both calm and not wise is tall or not brave.
If fred is both not creative and not wise then alice is either not brave or old.
... | Lucy is not strong. | entailment | (![X]:((~brave(X)<~>~patient(X))<=>(calm(X)&~kind(X))))&
(![X]:((creative(X)<~>strong(X))<=>(~rich(X)&generous(X))))&
(![X]:((calm(X)&~wise(X))=>(tall(X)|~brave(X))))&
(((~creative(fred)&~wise(fred)))=>((~brave(alice)<~>old(alice))))&
((?[X]:(wise(X)))=>((~old(alice)<~>tall(alice))))&
((?[X]:((generous(X)|~rich(X))))<=... | ~strong(lucy) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 688998460704510900914727
% SZS output start Proof for 688998460704510900914727
13. ! [X0] : ((patient(X0) | ~happy(X0)) => (~happy(X0) & ~strong(X0))) [input p12]
15. ! [X0] : ((patient(X0) | ~patient(X0)) => (~strong(X0) & patient(X0))) [input p14]
22. strong(lucy) [input hypothesis]
34.... | 0 |
Everyone who is either happy or tall is both not strong and funny. If fred is both rich and not creative then someone is not quiet or curious and vice versa. Everyone who is not strong is either not old or strong. Everyone who is not patient or creative is either not generous or not creative and vice versa. Everyone wh... | Fred is creative. | contradiction | (![X]:((happy(X)<~>tall(X))=>(~strong(X)&funny(X))))&
(((rich(fred)&~creative(fred)))<=>(?[X]:((~quiet(X)|curious(X)))))&
(![X]:(~strong(X)=>(~old(X)<~>strong(X))))&
(![X]:((~patient(X)|creative(X))<=>(~generous(X)<~>~creative(X))))&
(![X]:(wise(X)<=>(brave(X)|~wise(X))))&
((calm(susan))<=>((~humble(fred)|~calm(fred)))... | creative(fred) | [
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8632421862255447534530372
% SZS output start Proof for 8632421862255447534530372
4. ! [X0] : ((creative(X0) | ~patient(X0)) <=> (~generous(X0) <~> ~creative(X0))) [input p3]
5. ! [X0] : (wise(X0) <=> (~wise(X0) | brave(X0))) [input p4]
7. ! [X0] : ((calm(X0) & generous(X0)) <=> (~calm(X0)... | 0 |
If mary is either not creative or humble then someone is not strong or not tall and vice versa. If someone is both curious and happy then mary is both not tall and kind. If someone is not creative or not kind then someone is not generous. If someone is either tall or curious then fred is both not patient and not tall. ... | Susan is happy. | entailment | (((~creative(mary)<~>humble(mary)))<=>(?[X]:((~strong(X)|~tall(X)))))&
((?[X]:((curious(X)&happy(X))))=>((~tall(mary)&kind(mary))))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:(~generous(X))))&
((?[X]:((tall(X)<~>curious(X))))=>((~patient(fred)&~tall(fred))))&
(![X]:((humble(X)&patient(X))=>(tall(X)<~>~kind(X))))&
(((str... | happy(susan) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2618878352957596311981201
% SZS output start Proof for 2618878352957596311981201
12. ! [X0] : (~happy(X0) <=> (rich(X0) & ~curious(X0))) [input p11]
17. strong(susan) & curious(susan) [input p16]
25. ~happy(susan) [input hypothesis]
56. ! [X0] : ((~happy(X0) | (~rich(X0) | curious(X0))) &... | 0 |
Everyone who is funny is either rich or not creative and vice versa.
If fred is not curious or not quiet then mary is not patient and vice versa.
Everyone who is not strong is either not rich or wise.
Everyone who is creative is tall or funny and vice versa.
Everyone who is both not kind and not happy is not wise or ca... | John is rich. | entailment | (![X]:(funny(X)<=>(rich(X)<~>~creative(X))))&
(((~curious(fred)|~quiet(fred)))<=>(~patient(mary)))&
(![X]:(~strong(X)=>(~rich(X)<~>wise(X))))&
(![X]:(creative(X)<=>(tall(X)|funny(X))))&
(![X]:((~kind(X)&~happy(X))=>(~wise(X)|calm(X))))&
(![X]:((~funny(X)<~>~patient(X))<=>(~funny(X)&~quiet(X))))&
(((wise(mary)<~>~tall(m... | rich(john) | [
"p0",
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 62476184182310721405080
% SZS output start Proof for 62476184182310721405080
1. ! [X0] : (funny(X0) <=> (rich(X0) <~> ~creative(X0))) [input p0]
4. ! [X0] : (creative(X0) <=> (funny(X0) | tall(X0))) [input p3]
12. ! [X0] : (tall(X0) <=> (~tall(X0) & ~calm(X0))) [input p11]
23. ~rich(john)... | 0 |
Everyone who is not brave is either brave or not kind. If someone is humble or wise then someone is either tall or brave and vice versa. If fred is not calm then someone is not humble or not funny and vice versa. Everyone who is both not brave and not rich is not old and vice versa. Everyone who is either quiet or stro... | Lucy is rich. | neutral | (![X]:(~brave(X)=>(brave(X)<~>~kind(X))))&
((?[X]:((humble(X)|wise(X))))<=>(?[X]:((tall(X)<~>brave(X)))))&
((~calm(fred))<=>(?[X]:((~humble(X)|~funny(X)))))&
(![X]:((~brave(X)&~rich(X))<=>~old(X)))&
(![X]:((quiet(X)<~>strong(X))<=>(~strong(X)|~humble(X))))&
(![X]:(~wise(X)<=>(funny(X)&old(X))))&
(![X]:((tall(X)<~>~tall... | rich(lucy) | [] | null | 0 |
Everyone who is rich is either generous or not creative and vice versa.
Everyone who is both not brave and curious is either curious or not quiet.
Everyone who is both calm and old is not wise or brave.
Everyone who is both not funny and brave is old and vice versa.
If someone is curious or not tall then someone is bot... | Alice is wise. | contradiction | (![X]:(rich(X)<=>(generous(X)<~>~creative(X))))&
(![X]:((~brave(X)&curious(X))=>(curious(X)<~>~quiet(X))))&
(![X]:((calm(X)&old(X))=>(~wise(X)|brave(X))))&
(![X]:((~funny(X)&brave(X))<=>old(X)))&
((?[X]:((curious(X)|~tall(X))))<=>(?[X]:((brave(X)&~humble(X)))))&
((?[X]:((tall(X)<~>~quiet(X))))<=>(?[X]:((~generous(X)|~t... | wise(alice) | [
"p3",
"p7",
"p10",
"p14",
"p15",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1427657565890666506242435
% SZS output start Proof for 1427657565890666506242435
4. ! [X0] : ((brave(X0) & ~funny(X0)) <=> old(X0)) [input p3]
8. ! [X0] : (~curious(X0) <=> (wise(X0) & ~rich(X0))) [input p7]
11. ! [X0] : ((calm(X0) <~> strong(X0)) <=> (funny(X0) <~> ~rich(X0))) [input p10... | 0 |
Everyone who is either quiet or not rich is not curious and vice versa.
Everyone who is humble or not strong is creative.
Everyone who is strong or not calm is either not calm or patient and vice versa.
Everyone who is both not rich and calm is both not old and old.
If lucy is not quiet or not rich then someone is eith... | John is old. | neutral | (![X]:((quiet(X)<~>~rich(X))<=>~curious(X)))&
(![X]:((humble(X)|~strong(X))=>creative(X)))&
(![X]:((strong(X)|~calm(X))<=>(~calm(X)<~>patient(X))))&
(![X]:((~rich(X)&calm(X))=>(~old(X)&old(X))))&
(((~quiet(lucy)|~rich(lucy)))<=>(?[X]:((happy(X)<~>strong(X)))))&
((?[X]:((~calm(X)|generous(X))))=>(?[X]:((brave(X)&~patien... | old(john) | [] | null | 0 |
If someone is both not generous and not curious then susan is humble and vice versa. Everyone who is not wise is both not rich and not brave and vice versa. Everyone who is not creative is not kind or brave and vice versa. If someone is both creative and curious then someone is rich or not strong. If paul is funny then... | Mary is creative. | contradiction | ((?[X]:((~generous(X)&~curious(X))))<=>(humble(susan)))&
(![X]:(~wise(X)<=>(~rich(X)&~brave(X))))&
(![X]:(~creative(X)<=>(~kind(X)|brave(X))))&
((?[X]:((creative(X)&curious(X))))=>(?[X]:((rich(X)|~strong(X)))))&
((funny(paul))=>((patient(fred)<~>~wise(fred))))&
(![X]:((~brave(X)&creative(X))<=>(~humble(X)<~>creative(X)... | creative(mary) | [
"p2",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 240877789406886196363590
% SZS output start Proof for 240877789406886196363590
3. ! [X0] : (~creative(X0) <=> (brave(X0) | ~kind(X0))) [input p2]
9. ! [X0] : (kind(X0) <=> (generous(X0) | ~brave(X0))) [input p8]
13. ! [X0] : (~brave(X0) => ~kind(X0)) [input p12]
25. creative(mary) [input ... | 0 |
Everyone who is happy or creative is either tall or old.
If john is not happy then someone is both not humble and strong and vice versa.
If someone is not quiet then fred is quiet or curious and vice versa.
If someone is either brave or not tall then someone is not curious or quiet and vice versa.
If lucy is either cur... | Susan is not patient. | contradiction | (![X]:((happy(X)|creative(X))=>(tall(X)<~>old(X))))&
((~happy(john))<=>(?[X]:((~humble(X)&strong(X)))))&
((?[X]:(~quiet(X)))<=>((quiet(fred)|curious(fred))))&
((?[X]:((brave(X)<~>~tall(X))))<=>(?[X]:((~curious(X)|quiet(X)))))&
(((curious(lucy)<~>~happy(lucy)))=>(humble(mary)))&
((?[X]:(happy(X)))=>(happy(mary)))&
((?[X... | ~patient(susan) | [
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3794141250352212161277324
% SZS output start Proof for 3794141250352212161277324
8. ! [X0] : (strong(X0) <=> ~curious(X0)) [input p7]
14. (~kind(paul) & kind(paul)) <=> ? [X0] : (curious(X0) | ~funny(X0)) [input p13]
16. ! [X0] : ((strong(X0) | tall(X0)) <=> patient(X0)) [input p15]
25. ~... | 0 |
If someone is either brave or not curious then someone is strong or curious. If lucy is both old and rich then susan is quiet and vice versa. If someone is curious then someone is both not patient and quiet and vice versa. If john is either humble or calm then fred is both not kind and rich and vice versa. Everyone who... | Lucy is not calm. | contradiction | ((?[X]:((brave(X)<~>~curious(X))))=>(?[X]:((strong(X)|curious(X)))))&
(((old(lucy)&rich(lucy)))<=>(quiet(susan)))&
((?[X]:(curious(X)))<=>(?[X]:((~patient(X)&quiet(X)))))&
(((humble(john)<~>calm(john)))<=>((~kind(fred)&rich(fred))))&
(![X]:((wise(X)<~>~strong(X))=>(calm(X)<~>~calm(X))))&
(((humble(lucy)|~wise(lucy)))=>... | ~calm(lucy) | [
"p1",
"p8",
"p9",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2598506844198832220684432
% SZS output start Proof for 2598506844198832220684432
2. (rich(lucy) & old(lucy)) <=> quiet(susan) [input p1]
9. ! [X0] : (patient(X0) <=> strong(X0)) [input p8]
10. ! [X0] : ((rich(X0) <~> calm(X0)) => ~quiet(X0)) [input p9]
11. ! [X0] : ((patient(X0) & ~creati... | 0 |
If someone is not wise or not calm then someone is either funny or happy.
Everyone who is both not patient and quiet is both generous and not quiet.
Everyone who is calm is either old or not creative.
If fred is both calm and not brave then someone is not strong or not happy and vice versa.
Everyone who is either brave... | Paul is brave. | entailment | ((?[X]:((~wise(X)|~calm(X))))=>(?[X]:((funny(X)<~>happy(X)))))&
(![X]:((~patient(X)&quiet(X))=>(generous(X)&~quiet(X))))&
(![X]:(calm(X)=>(old(X)<~>~creative(X))))&
(((calm(fred)&~brave(fred)))<=>(?[X]:((~strong(X)|~happy(X)))))&
(![X]:((brave(X)<~>~strong(X))<=>(quiet(X)|~old(X))))&
((?[X]:(tall(X)))<=>(?[X]:((wise(X)... | brave(paul) | [
"p2",
"p4",
"p6",
"p7",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1971730044199872336471160
% SZS output start Proof for 1971730044199872336471160
3. ! [X0] : (calm(X0) => (old(X0) <~> ~creative(X0))) [input p2]
5. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> (~old(X0) | quiet(X0))) [input p4]
7. ! [X0] : (~funny(X0) <=> (funny(X0) | calm(X0))) [input p6]
... | 0 |
If mary is either generous or patient then mary is both strong and funny and vice versa.
If mary is both not curious and curious then john is either not happy or kind and vice versa.
Everyone who is tall or not quiet is both happy and brave and vice versa.
If john is not old or funny then someone is not funny and vice ... | Lucy is brave. | entailment | (((generous(mary)<~>patient(mary)))<=>((strong(mary)&funny(mary))))&
(((~curious(mary)&curious(mary)))<=>((~happy(john)<~>kind(john))))&
(![X]:((tall(X)|~quiet(X))<=>(happy(X)&brave(X))))&
(((~old(john)|funny(john)))<=>(?[X]:(~funny(X))))&
(![X]:((~strong(X)<~>happy(X))=>(patient(X)&~calm(X))))&
(![X]:((~calm(X)|~gener... | brave(lucy) | [
"p2",
"p5",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7517135414588719303706422
% SZS output start Proof for 7517135414588719303706422
3. ! [X0] : ((~quiet(X0) | tall(X0)) <=> (brave(X0) & happy(X0))) [input p2]
6. ! [X0] : ((~generous(X0) | ~calm(X0)) => (calm(X0) | old(X0))) [input p5]
9. ! [X0] : ((~old(X0) <~> quiet(X0)) => (~curious(X0)... | 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... | Lucy is not wise. | entailment | ((?[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(... | ~wise(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7415123963710375567549145
% SZS output start Proof for 7415123963710375567549145
12. ! [X0] : ((~quiet(X0) & ~wise(X0)) <=> (wise(X0) | patient(X0))) [input p11]
25. wise(lucy) [input hypothesis]
54. ! [X0] : (((~quiet(X0) & ~wise(X0)) | (~wise(X0) & ~patient(X0))) & ((wise(X0) | patient(... | 0 |
If susan is not calm or not wise then fred is both not funny and patient. Everyone who is either curious or not funny is brave and vice versa. Everyone who is both not humble and rich is not generous or patient. Everyone who is generous or curious is not old and vice versa. If fred is either not quiet or not tall then ... | Mary is old. | contradiction | (((~calm(susan)|~wise(susan)))=>((~funny(fred)&patient(fred))))&
(![X]:((curious(X)<~>~funny(X))<=>brave(X)))&
(![X]:((~humble(X)&rich(X))=>(~generous(X)|patient(X))))&
(![X]:((generous(X)|curious(X))<=>~old(X)))&
(((~quiet(fred)<~>~tall(fred)))<=>(?[X]:((creative(X)&quiet(X)))))&
(![X]:(~rich(X)=>humble(X)))&
(![X]:((... | old(mary) | [
"p3",
"p6",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 215842333653458724253720
% SZS output start Proof for 215842333653458724253720
4. ! [X0] : ((curious(X0) | generous(X0)) <=> ~old(X0)) [input p3]
7. ! [X0] : ((~humble(X0) <~> brave(X0)) => (brave(X0) & ~quiet(X0))) [input p6]
9. ! [X0] : ((~brave(X0) <~> old(X0)) <=> (~creative(X0) & qui... | 0 |
Everyone who is not generous or generous is both not quiet and kind.
If someone is not tall or not humble then someone is not humble and vice versa.
Everyone who is both not calm and not tall is both calm and tall and vice versa.
Everyone who is not strong or brave is both strong and not wise and vice versa.
If someone... | Paul is calm. | neutral | (![X]:((~generous(X)|generous(X))=>(~quiet(X)&kind(X))))&
((?[X]:((~tall(X)|~humble(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~calm(X)&~tall(X))<=>(calm(X)&tall(X))))&
(![X]:((~strong(X)|brave(X))<=>(strong(X)&~wise(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)&happy(X)))))&
(![X]:((calm(X)|~wise(X))=>(rich(X)<~>~curious(X)))... | calm(paul) | [] | null | 0 |
If someone is not quiet then someone is both not humble and not curious.
Everyone who is both not rich and happy is not calm and vice versa.
If someone is either not curious or humble then mary is not tall or not brave.
Everyone who is both creative and rich is not patient and vice versa.
If lucy is both tall and stron... | Fred is not generous. | neutral | ((?[X]:(~quiet(X)))=>(?[X]:((~humble(X)&~curious(X)))))&
(![X]:((~rich(X)&happy(X))<=>~calm(X)))&
((?[X]:((~curious(X)<~>humble(X))))=>((~tall(mary)|~brave(mary))))&
(![X]:((creative(X)&rich(X))<=>~patient(X)))&
(((tall(lucy)&strong(lucy)))<=>((~patient(lucy)|~wise(lucy))))&
(((~strong(mary)|~wise(mary)))<=>((old(mary)... | ~generous(fred) | [] | null | 0 |
Everyone who is either tall or not patient is not kind and vice versa.
Everyone who is either not generous or not happy is not creative and vice versa.
If someone is not happy then someone is both not humble and curious and vice versa.
If someone is either brave or happy then susan is both calm and not old and vice ver... | Paul is not tall. | neutral | (![X]:((tall(X)<~>~patient(X))<=>~kind(X)))&
(![X]:((~generous(X)<~>~happy(X))<=>~creative(X)))&
((?[X]:(~happy(X)))<=>(?[X]:((~humble(X)&curious(X)))))&
((?[X]:((brave(X)<~>happy(X))))<=>((calm(susan)&~old(susan))))&
(((~rich(lucy)<~>tall(lucy)))=>((~happy(alice)&generous(alice))))&
(![X]:((creative(X)<~>~wise(X))=>(h... | ~tall(paul) | [] | null | 0 |
If someone is either not wise or patient then mary is not strong.
If alice is not old then fred is not tall and vice versa.
Everyone who is not old or not strong is either quiet or not tall and vice versa.
If susan is both generous and quiet then fred is not brave and vice versa.
Everyone who is both not brave and stro... | Susan is not tall. | neutral | ((?[X]:((~wise(X)<~>patient(X))))=>(~strong(mary)))&
((~old(alice))<=>(~tall(fred)))&
(![X]:((~old(X)|~strong(X))<=>(quiet(X)<~>~tall(X))))&
(((generous(susan)&quiet(susan)))<=>(~brave(fred)))&
(![X]:((~brave(X)&strong(X))<=>(patient(X)<~>tall(X))))&
((?[X]:((funny(X)&tall(X))))<=>(?[X]:((~brave(X)&kind(X)))))&
(((~hap... | ~tall(susan) | [] | null | 0 |
Everyone who is both curious and quiet is not tall.
If someone is brave or not happy then someone is not strong or kind and vice versa.
Everyone who is creative is kind or wise and vice versa.
Everyone who is not strong is both creative and wise.
Everyone who is both not generous and generous is tall or calm.
If john i... | Paul is not funny. | contradiction | (![X]:((curious(X)&quiet(X))=>~tall(X)))&
((?[X]:((brave(X)|~happy(X))))<=>(?[X]:((~strong(X)|kind(X)))))&
(![X]:(creative(X)<=>(kind(X)|wise(X))))&
(![X]:(~strong(X)=>(creative(X)&wise(X))))&
(![X]:((~generous(X)&generous(X))=>(tall(X)|calm(X))))&
(((tall(john)&~wise(john)))<=>(brave(lucy)))&
(![X]:((funny(X)|~strong(... | ~funny(paul) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1824823751171934136119933
% SZS output start Proof for 1824823751171934136119933
9. ! [X0] : ((funny(X0) & old(X0)) <=> (curious(X0) | ~rich(X0))) [input p8]
13. ! [X0] : ((calm(X0) & ~rich(X0)) <=> (~funny(X0) | ~creative(X0))) [input p12]
22. ~funny(paul) [input hypothesis]
51. ! [X0] :... | 0 |
Everyone who is wise is either brave or not calm and vice versa.
If someone is calm then alice is not strong.
Everyone who is both humble and not calm is either funny or not humble.
Everyone who is tall is both not humble and not quiet and vice versa.
Everyone who is not brave or strong is old and vice versa.
If someon... | Paul is brave. | neutral | (![X]:(wise(X)<=>(brave(X)<~>~calm(X))))&
((?[X]:(calm(X)))=>(~strong(alice)))&
(![X]:((humble(X)&~calm(X))=>(funny(X)<~>~humble(X))))&
(![X]:(tall(X)<=>(~humble(X)&~quiet(X))))&
(![X]:((~brave(X)|strong(X))<=>old(X)))&
((?[X]:((curious(X)&funny(X))))<=>((~happy(lucy)|~creative(lucy))))&
(![X]:(~calm(X)=>(patient(X)&ta... | brave(paul) | [] | null | 0 |
If fred is not humble then someone is either not kind or not patient and vice versa.
Everyone who is not quiet or not patient is either funny or not patient and vice versa.
If susan is kind or not patient then someone is generous.
If someone is both tall and happy then someone is not rich.
If someone is not curious the... | Paul is patient. | neutral | ((~humble(fred))<=>(?[X]:((~kind(X)<~>~patient(X)))))&
(![X]:((~quiet(X)|~patient(X))<=>(funny(X)<~>~patient(X))))&
(((kind(susan)|~patient(susan)))=>(?[X]:(generous(X))))&
((?[X]:((tall(X)&happy(X))))=>(?[X]:(~rich(X))))&
((?[X]:(~curious(X)))=>((~rich(alice)&brave(alice))))&
(((~generous(john)<~>tall(john)))<=>(?[X]:... | patient(paul) | [] | null | 0 |
If paul is not happy or curious then alice is either not wise or not creative and vice versa.
If paul is either calm or not old then fred is not old and vice versa.
Everyone who is either funny or wise is patient or creative and vice versa.
Everyone who is either not quiet or not wise is quiet and vice versa.
If someon... | John is not funny. | entailment | (((~happy(paul)|curious(paul)))<=>((~wise(alice)<~>~creative(alice))))&
(((calm(paul)<~>~old(paul)))<=>(~old(fred)))&
(![X]:((funny(X)<~>wise(X))<=>(patient(X)|creative(X))))&
(![X]:((~quiet(X)<~>~wise(X))<=>quiet(X)))&
((?[X]:((rich(X)&~rich(X))))=>(?[X]:(~brave(X))))&
(![X]:(~funny(X)<=>(~rich(X)|~happy(X))))&
((?[X]... | ~funny(john) | [
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2831277603433703727146795
% SZS output start Proof for 2831277603433703727146795
6. ! [X0] : (~funny(X0) <=> (~happy(X0) | ~rich(X0))) [input p5]
13. ? [X0] : (~calm(X0) & creative(X0)) <=> ? [X0] : (happy(X0) & rich(X0)) [input p12]
14. ! [X0] : ((~calm(X0) | ~generous(X0)) => (calm(X0) ... | 0 |
Everyone who is not tall is both not brave and rich and vice versa.
If lucy is both creative and not creative then someone is not wise or quiet and vice versa.
If susan is both not happy and not curious then susan is both wise and funny and vice versa.
If someone is both not quiet and not old then someone is old or gen... | Mary is not strong. | neutral | (![X]:(~tall(X)<=>(~brave(X)&rich(X))))&
(((creative(lucy)&~creative(lucy)))<=>(?[X]:((~wise(X)|quiet(X)))))&
(((~happy(susan)&~curious(susan)))<=>((wise(susan)&funny(susan))))&
((?[X]:((~quiet(X)&~old(X))))<=>(?[X]:((old(X)|generous(X)))))&
(![X]:((~patient(X)&~calm(X))=>(calm(X)|~creative(X))))&
((?[X]:((strong(X)<~>... | ~strong(mary) | [] | null | 0 |
If someone is kind or not quiet then lucy is either patient or rich and vice versa.
Everyone who is not funny or not old is not rich.
Everyone who is strong is both quiet and not calm.
Everyone who is either patient or not brave is either strong or not calm and vice versa.
Everyone who is rich is both generous and humb... | Alice is not wise. | neutral | ((?[X]:((kind(X)|~quiet(X))))<=>((patient(lucy)<~>rich(lucy))))&
(![X]:((~funny(X)|~old(X))=>~rich(X)))&
(![X]:(strong(X)=>(quiet(X)&~calm(X))))&
(![X]:((patient(X)<~>~brave(X))<=>(strong(X)<~>~calm(X))))&
(![X]:(rich(X)=>(generous(X)&humble(X))))&
(![X]:((calm(X)|happy(X))<=>(~happy(X)|~old(X))))&
(![X]:((~kind(X)<~>~... | ~wise(alice) | [] | null | 0 |
Everyone who is both not quiet and generous is old or not creative and vice versa. Everyone who is both not old and not generous is either not happy or not generous. Everyone who is either brave or not tall is either not old or not rich and vice versa. Everyone who is creative is not strong or kind. If alice is not fun... | Lucy is brave. | neutral | (![X]:((~quiet(X)&generous(X))<=>(old(X)|~creative(X))))&
(![X]:((~old(X)&~generous(X))=>(~happy(X)<~>~generous(X))))&
(![X]:((brave(X)<~>~tall(X))<=>(~old(X)<~>~rich(X))))&
(![X]:(creative(X)=>(~strong(X)|kind(X))))&
(((~funny(alice)|rich(alice)))=>(patient(fred)))&
(((old(alice)&~creative(alice)))<=>(?[X]:((happy(X)|... | brave(lucy) | [] | null | 0 |
Everyone who is both not happy and strong is not curious or creative.
If someone is not generous then paul is not rich and vice versa.
If alice is both not patient and not funny then someone is either curious or quiet and vice versa.
Everyone who is both not generous and not strong is not tall.
Everyone who is both str... | Fred is not old. | neutral | (![X]:((~happy(X)&strong(X))=>(~curious(X)|creative(X))))&
((?[X]:(~generous(X)))<=>(~rich(paul)))&
(((~patient(alice)&~funny(alice)))<=>(?[X]:((curious(X)<~>quiet(X)))))&
(![X]:((~generous(X)&~strong(X))=>~tall(X)))&
(![X]:((strong(X)&~funny(X))<=>(~tall(X)<~>~rich(X))))&
((old(john))=>(?[X]:((wise(X)|~curious(X)))))&... | ~old(fred) | [] | null | 0 |
If someone is not humble or quiet then alice is tall or not generous.
Everyone who is not patient or not kind is old.
Everyone who is both not curious and not happy is curious or not rich.
Everyone who is tall is not funny.
If someone is either not quiet or happy then someone is not generous.
Everyone who is both humbl... | Mary is humble. | entailment | ((?[X]:((~humble(X)|quiet(X))))=>((tall(alice)|~generous(alice))))&
(![X]:((~patient(X)|~kind(X))=>old(X)))&
(![X]:((~curious(X)&~happy(X))=>(curious(X)|~rich(X))))&
(![X]:(tall(X)=>~funny(X)))&
((?[X]:((~quiet(X)<~>happy(X))))=>(?[X]:(~generous(X))))&
(![X]:((humble(X)&~wise(X))=>(brave(X)|wise(X))))&
(![X]:((calm(X)|... | humble(mary) | [
"p3",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7638905349994785099729178
% SZS output start Proof for 7638905349994785099729178
4. ! [X0] : (tall(X0) => ~funny(X0)) [input p3]
11. ! [X0] : ((happy(X0) | ~humble(X0)) <=> (~tall(X0) <~> ~humble(X0))) [input p10]
15. ! [X0] : ((~quiet(X0) | quiet(X0)) <=> (funny(X0) & wise(X0))) [input p... | 0 |
If someone is quiet or humble then alice is wise and vice versa.
Everyone who is not old or patient is kind and vice versa.
Everyone who is both not wise and not humble is either not strong or not generous.
Everyone who is both not creative and quiet is both not creative and not quiet and vice versa.
If someone is eith... | Alice is funny. | contradiction | ((?[X]:((quiet(X)|humble(X))))<=>(wise(alice)))&
(![X]:((~old(X)|patient(X))<=>kind(X)))&
(![X]:((~wise(X)&~humble(X))=>(~strong(X)<~>~generous(X))))&
(![X]:((~creative(X)&quiet(X))<=>(~creative(X)&~quiet(X))))&
((?[X]:((creative(X)<~>~funny(X))))=>(~brave(susan)))&
(![X]:((generous(X)&~wise(X))<=>~happy(X)))&
(![X]:(h... | funny(alice) | [
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7834837036109425447136316
% SZS output start Proof for 7834837036109425447136316
4. ! [X0] : ((quiet(X0) & ~creative(X0)) <=> (~quiet(X0) & ~creative(X0))) [input p3]
17. funny(alice) <~> creative(alice) [input p16]
24. funny(alice) [input hypothesis]
43. ! [X0] : (((quiet(X0) & ~creative... | 0 |
Everyone who is either not patient or brave is both not rich and rich.
Everyone who is both not curious and happy is either old or funny.
Everyone who is either not rich or not strong is not curious or wise and vice versa.
Everyone who is not strong or curious is wise.
Everyone who is not generous or not brave is both ... | Mary is not happy. | entailment | (![X]:((~patient(X)<~>brave(X))=>(~rich(X)&rich(X))))&
(![X]:((~curious(X)&happy(X))=>(old(X)<~>funny(X))))&
(![X]:((~rich(X)<~>~strong(X))<=>(~curious(X)|wise(X))))&
(![X]:((~strong(X)|curious(X))=>wise(X)))&
(![X]:((~generous(X)|~brave(X))=>(~quiet(X)&~patient(X))))&
(((~funny(mary)|~creative(mary)))=>((~funny(mary)|... | ~happy(mary) | [
"p0",
"p4",
"p5",
"p8",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7639435706745784712248790
% SZS output start Proof for 7639435706745784712248790
1. ! [X0] : ((~patient(X0) <~> brave(X0)) => (rich(X0) & ~rich(X0))) [input p0]
5. ! [X0] : ((~brave(X0) | ~generous(X0)) => (~patient(X0) & ~quiet(X0))) [input p4]
6. (~creative(mary) | ~funny(mary)) => (cal... | 0 |
If someone is either calm or kind then someone is old and vice versa. If john is tall then fred is not calm or old. If mary is not generous then someone is either not tall or wise and vice versa. If someone is rich or kind then susan is either not brave or humble. If someone is not creative then someone is funny or hum... | John is calm. | entailment | ((?[X]:((calm(X)<~>kind(X))))<=>(?[X]:(old(X))))&
((tall(john))=>((~calm(fred)|old(fred))))&
((~generous(mary))<=>(?[X]:((~tall(X)<~>wise(X)))))&
((?[X]:((rich(X)|kind(X))))=>((~brave(susan)<~>humble(susan))))&
((?[X]:(~creative(X)))<=>(?[X]:((funny(X)|humble(X)))))&
(![X]:(happy(X)<=>(~calm(X)|funny(X))))&
(((~generou... | calm(john) | [
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3323564585190710572374926
% SZS output start Proof for 3323564585190710572374926
6. ! [X0] : (happy(X0) <=> (funny(X0) | ~calm(X0))) [input p5]
18. ~happy(john) & wise(john) [input p17]
25. ~calm(john) [input hypothesis]
55. ! [X0] : ((happy(X0) | (~funny(X0) & calm(X0))) & ((funny(X0) | ... | 0 |
Everyone who is both not generous and generous is not tall or not humble and vice versa.
If paul is both not kind and not strong then paul is rich or not rich.
If mary is not kind or creative then someone is not brave or not quiet and vice versa.
Everyone who is not generous is either not generous or tall.
Everyone who... | Susan is not brave. | entailment | (![X]:((~generous(X)&generous(X))<=>(~tall(X)|~humble(X))))&
(((~kind(paul)&~strong(paul)))=>((rich(paul)|~rich(paul))))&
(((~kind(mary)|creative(mary)))<=>(?[X]:((~brave(X)|~quiet(X)))))&
(![X]:(~generous(X)=>(~generous(X)<~>tall(X))))&
(![X]:((brave(X)<~>humble(X))<=>(~kind(X)|strong(X))))&
(![X]:((~calm(X)|kind(X))=... | ~brave(susan) | [
"p0",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1129335279237061909706679
% SZS output start Proof for 1129335279237061909706679
1. ! [X0] : ((generous(X0) & ~generous(X0)) <=> (~humble(X0) | ~tall(X0))) [input p0]
5. ! [X0] : ((brave(X0) <~> humble(X0)) <=> (strong(X0) | ~kind(X0))) [input p4]
6. ! [X0] : ((kind(X0) | ~calm(X0)) => ~b... | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa. Everyone who is either not brave or kind is either patient or generous and vice versa. If someone is either brave or not brave then fred is either not patient or rich and vice versa. If susan is either not brave or not wise then john is both not... | Mary is calm. | entailment | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(patient(X)<~>generous(X))))&
((?[X]:((brave(X)<~>~brave(X))))<=>((~patient(fred)<~>rich(fred))))&
(((~brave(susan)<~>~wise(susan)))=>((~humble(john)&humble(john))))&
(![X]:((old(X)&calm(X))=>(~rich(X)<~>strong(X))))&
((?[X]:((~tall(X)|... | calm(mary) | [
"p0",
"p3",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6315196251227958041778842
% SZS output start Proof for 6315196251227958041778842
1. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (rich(X0) & wise(X0))) [input p0]
4. (~brave(susan) <~> ~wise(susan)) => (humble(john) & ~humble(john)) [input p3]
11. ? [X0] : ~calm(X0) <=> (~patient(susan) & ~br... | 0 |
If someone is either not kind or generous then paul is not strong. Everyone who is wise is not wise or not rich and vice versa. Everyone who is not curious is both quiet and not tall and vice versa. Everyone who is both not funny and not wise is wise or not curious. If someone is not funny or kind then someone is eithe... | Paul is generous. | neutral | ((?[X]:((~kind(X)<~>generous(X))))=>(~strong(paul)))&
(![X]:(wise(X)<=>(~wise(X)|~rich(X))))&
(![X]:(~curious(X)<=>(quiet(X)&~tall(X))))&
(![X]:((~funny(X)&~wise(X))=>(wise(X)|~curious(X))))&
((?[X]:((~funny(X)|kind(X))))<=>(?[X]:((~strong(X)<~>quiet(X)))))&
(![X]:((~generous(X)&~patient(X))=>(brave(X)<~>~humble(X))))&... | generous(paul) | [] | null | 0 |
Everyone who is not humble or wise is both funny and not creative. Everyone who is not funny is old and vice versa. If paul is either brave or strong then paul is both kind and patient. If john is either not generous or not wise then mary is not generous or creative. Everyone who is both not calm and rich is brave. Eve... | Fred is kind. | entailment | (![X]:((~humble(X)|wise(X))=>(funny(X)&~creative(X))))&
(![X]:(~funny(X)<=>old(X)))&
(((brave(paul)<~>strong(paul)))=>((kind(paul)&patient(paul))))&
(((~generous(john)<~>~wise(john)))=>((~generous(mary)|creative(mary))))&
(![X]:((~calm(X)&rich(X))=>brave(X)))&
(![X]:(generous(X)=>tall(X)))&
((?[X]:(strong(X)))=>(?[X]:(... | kind(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8749423151747906487668879
% SZS output start Proof for 8749423151747906487668879
8. ! [X0] : ((curious(X0) | ~curious(X0)) => kind(X0)) [input p7]
25. ~kind(fred) [input hypothesis]
37. ! [X0] : (kind(X0) | (~curious(X0) & curious(X0))) [ennf transformation 8]
97. kind(X0) | curious(X0) [... | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa.
Everyone who is not kind or not funny is either wise or not funny and vice versa.
Everyone who is either quiet or not kind is quiet or kind.
If alice is not patient then mary is either creative or not brave.
Everyone who is both t... | Susan is not rich. | contradiction | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((quiet(X)<~>~kind(X))=>(quiet(X)|kind(X))))&
((~patient(alice))=>((creative(mary)<~>~brave(mary))))&
(![X]:((tall(X)&strong(X))<=>(brave(X)&generous(X))))&
(![X]:((funny(X)|~wise(X))<=>(tall(X)&rich(X))))... | ~rich(susan) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1389872809127291967950287
% SZS output start Proof for 1389872809127291967950287
2. ! [X0] : ((~funny(X0) | ~kind(X0)) <=> (wise(X0) <~> ~funny(X0))) [input p1]
6. ! [X0] : ((~wise(X0) | funny(X0)) <=> (rich(X0) & tall(X0))) [input p5]
25. ~rich(susan) [input hypothesis]
43. ! [X0] : (((~... | 0 |
Everyone who is both calm and not funny is humble or not rich.
Everyone who is both not happy and old is both not brave and brave and vice versa.
If someone is not humble then lucy is both humble and not generous.
If someone is both rich and calm then someone is not brave and vice versa.
If someone is both not brave an... | Lucy is not wise. | entailment | (![X]:((calm(X)&~funny(X))=>(humble(X)|~rich(X))))&
(![X]:((~happy(X)&old(X))<=>(~brave(X)&brave(X))))&
((?[X]:(~humble(X)))=>((humble(lucy)&~generous(lucy))))&
((?[X]:((rich(X)&calm(X))))<=>(?[X]:(~brave(X))))&
((?[X]:((~brave(X)&~wise(X))))=>((~strong(susan)|~rich(susan))))&
(![X]:((rich(X)<~>~strong(X))<=>(~generous... | ~wise(lucy) | [
"p0",
"p3",
"p6",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4288113781592270902150
% SZS output start Proof for 4288113781592270902150
1. ! [X0] : ((~funny(X0) & calm(X0)) => (~rich(X0) | humble(X0))) [input p0]
4. ? [X0] : (calm(X0) & rich(X0)) <=> ? [X0] : ~brave(X0) [input p3]
7. ! [X0] : ((~curious(X0) | calm(X0)) => ~humble(X0)) [input p6]
8.... | 0 |
If john is either not quiet or tall then someone is not kind or not generous and vice versa. Everyone who is both tall and kind is not wise. If someone is both humble and creative then someone is both humble and not curious. Everyone who is either not calm or not strong is happy or kind. If lucy is both quiet and not r... | Alice is not quiet. | entailment | (((~quiet(john)<~>tall(john)))<=>(?[X]:((~kind(X)|~generous(X)))))&
(![X]:((tall(X)&kind(X))=>~wise(X)))&
((?[X]:((humble(X)&creative(X))))=>(?[X]:((humble(X)&~curious(X)))))&
(![X]:((~calm(X)<~>~strong(X))=>(happy(X)|kind(X))))&
(((quiet(lucy)&~rich(lucy)))=>(?[X]:(rich(X))))&
(![X]:((~quiet(X)|strong(X))<=>(rich(X)&o... | ~quiet(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6173243057484144823194419
% SZS output start Proof for 6173243057484144823194419
14. ! [X0] : ((funny(X0) | ~funny(X0)) => ~quiet(X0)) [input p13]
24. quiet(alice) [input hypothesis]
37. ! [X0] : (~quiet(X0) | (~funny(X0) & funny(X0))) [ennf transformation 14]
121. ~quiet(X0) | funny(X0) ... | 0 |
If someone is both not old and not calm then someone is not generous and vice versa. Everyone who is not funny or curious is not humble or humble and vice versa. Everyone who is patient is both not rich and funny. Everyone who is quiet is not wise. Everyone who is brave or rich is not humble and vice versa. If someone ... | Paul is not rich. | entailment | ((?[X]:((~old(X)&~calm(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~funny(X)|curious(X))<=>(~humble(X)|humble(X))))&
(![X]:(patient(X)=>(~rich(X)&funny(X))))&
(![X]:(quiet(X)=>~wise(X)))&
(![X]:((brave(X)|rich(X))<=>~humble(X)))&
((?[X]:((rich(X)|~calm(X))))=>(?[X]:((~patient(X)|~generous(X)))))&
(![X]:((tall(X)&~rich(X))<... | ~rich(paul) | [
"p4",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7985720907529709027582552
% SZS output start Proof for 7985720907529709027582552
5. ! [X0] : ((rich(X0) | brave(X0)) <=> ~humble(X0)) [input p4]
7. ! [X0] : ((~rich(X0) & tall(X0)) <=> (~funny(X0) | ~creative(X0))) [input p6]
8. ! [X0] : ((~generous(X0) | humble(X0)) <=> (~kind(X0) & rich... | 0 |
Everyone who is either humble or not kind is both not happy and not creative and vice versa. If someone is not funny then someone is both not humble and happy and vice versa. Everyone who is not quiet is not patient or quiet. If someone is humble then alice is not curious and vice versa. Everyone who is humble is not f... | Lucy is not creative. | contradiction | (![X]:((humble(X)<~>~kind(X))<=>(~happy(X)&~creative(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((~humble(X)&happy(X)))))&
(![X]:(~quiet(X)=>(~patient(X)|quiet(X))))&
((?[X]:(humble(X)))<=>(~curious(alice)))&
(![X]:(humble(X)<=>~funny(X)))&
((?[X]:((generous(X)|calm(X))))<=>(~happy(lucy)))&
((?[X]:(tall(X)))<=>(?[X]:((~happy(X... | ~creative(lucy) | [
"p0",
"p4",
"p5",
"p9",
"p10",
"p11",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2078030241582481639778489
% SZS output start Proof for 2078030241582481639778489
1. ! [X0] : ((humble(X0) <~> ~kind(X0)) <=> (~creative(X0) & ~happy(X0))) [input p0]
5. ! [X0] : (humble(X0) <=> ~funny(X0)) [input p4]
6. ? [X0] : (calm(X0) | generous(X0)) <=> ~happy(lucy) [input p5]
10. ! ... | 0 |
If mary is old or generous then someone is tall and vice versa.
Everyone who is quiet or kind is brave and vice versa.
If paul is both humble and not strong then someone is old or kind and vice versa.
Everyone who is humble is either humble or not wise.
Everyone who is either not wise or quiet is not kind.
If susan is ... | Mary is generous. | neutral | (((old(mary)|generous(mary)))<=>(?[X]:(tall(X))))&
(![X]:((quiet(X)|kind(X))<=>brave(X)))&
(((humble(paul)&~strong(paul)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:(humble(X)=>(humble(X)<~>~wise(X))))&
(![X]:((~wise(X)<~>quiet(X))=>~kind(X)))&
(((tall(susan)<~>wise(susan)))=>((quiet(paul)&old(paul))))&
(![X]:((rich(X)&old(X... | generous(mary) | [] | null | 0 |
If alice is not wise or not strong then someone is both not generous and curious.
Everyone who is not old or not quiet is both patient and calm.
If susan is either not calm or quiet then someone is not curious.
If alice is kind then someone is not humble.
Everyone who is not quiet or patient is both not curious and not... | Alice is not tall. | entailment | (((~wise(alice)|~strong(alice)))=>(?[X]:((~generous(X)&curious(X)))))&
(![X]:((~old(X)|~quiet(X))=>(patient(X)&calm(X))))&
(((~calm(susan)<~>quiet(susan)))=>(?[X]:(~curious(X))))&
((kind(alice))=>(?[X]:(~humble(X))))&
(![X]:((~quiet(X)|patient(X))=>(~curious(X)&~funny(X))))&
(![X]:((old(X)|calm(X))<=>(creative(X)|brave... | ~tall(alice) | [
"p1",
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5411240779792915034430544
% SZS output start Proof for 5411240779792915034430544
2. ! [X0] : ((~quiet(X0) | ~old(X0)) => (calm(X0) & patient(X0))) [input p1]
7. ! [X0] : (~happy(X0) <=> (quiet(X0) | kind(X0))) [input p6]
8. ? [X0] : (patient(X0) & ~old(X0)) <=> ? [X0] : (~quiet(X0) & rich... | 0 |
Everyone who is kind or not humble is both old and not tall.
Everyone who is strong or old is both not wise and rich and vice versa.
Everyone who is calm or old is both not patient and old and vice versa.
If someone is either not creative or quiet then fred is kind or not happy and vice versa.
If lucy is either not tal... | Fred is old. | neutral | (![X]:((kind(X)|~humble(X))=>(old(X)&~tall(X))))&
(![X]:((strong(X)|old(X))<=>(~wise(X)&rich(X))))&
(![X]:((calm(X)|old(X))<=>(~patient(X)&old(X))))&
((?[X]:((~creative(X)<~>quiet(X))))<=>((kind(fred)|~happy(fred))))&
(((~tall(lucy)<~>generous(lucy)))=>((generous(john)<~>happy(john))))&
(![X]:(brave(X)=>~kind(X)))&
(![... | old(fred) | [] | null | 0 |
Everyone who is either brave or not quiet is both not tall and old and vice versa.
Everyone who is both rich and not quiet is calm or rich and vice versa.
If fred is curious or rich then someone is not creative.
Everyone who is not tall is either quiet or curious.
If alice is not tall then alice is not kind and vice ve... | Paul is not brave. | entailment | (![X]:((brave(X)<~>~quiet(X))<=>(~tall(X)&old(X))))&
(![X]:((rich(X)&~quiet(X))<=>(calm(X)|rich(X))))&
(((curious(fred)|rich(fred)))=>(?[X]:(~creative(X))))&
(![X]:(~tall(X)=>(quiet(X)<~>curious(X))))&
((~tall(alice))<=>(~kind(alice)))&
(![X]:((humble(X)&~strong(X))<=>(generous(X)|calm(X))))&
(![X]:((~old(X)&~generous(... | ~brave(paul) | [
"p5",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 238009903541798086120149
% SZS output start Proof for 238009903541798086120149
6. ! [X0] : ((~strong(X0) & humble(X0)) <=> (calm(X0) | generous(X0))) [input p5]
7. ! [X0] : ((~generous(X0) & ~old(X0)) <=> (~strong(X0) | happy(X0))) [input p6]
15. ? [X0] : brave(X0) => (generous(john) & ~w... | 0 |
Everyone who is happy is both generous and tall and vice versa. Everyone who is either humble or funny is either not humble or humble and vice versa. Everyone who is both patient and strong is either wise or not quiet. If lucy is either calm or humble then someone is either rich or not kind and vice versa. Everyone who... | Lucy is quiet. | neutral | (![X]:(happy(X)<=>(generous(X)&tall(X))))&
(![X]:((humble(X)<~>funny(X))<=>(~humble(X)<~>humble(X))))&
(![X]:((patient(X)&strong(X))=>(wise(X)<~>~quiet(X))))&
(((calm(lucy)<~>humble(lucy)))<=>(?[X]:((rich(X)<~>~kind(X)))))&
(![X]:((~old(X)&strong(X))=>(brave(X)|~creative(X))))&
(![X]:((creative(X)&brave(X))<=>(wise(X)|... | quiet(lucy) | [] | null | 0 |
If someone is patient or not brave then alice is both generous and creative and vice versa.
If someone is both creative and rich then paul is either not tall or happy.
Everyone who is both not brave and generous is not creative or not tall and vice versa.
If paul is not patient then mary is happy.
Everyone who is eithe... | Mary is patient. | contradiction | ((?[X]:((patient(X)|~brave(X))))<=>((generous(alice)&creative(alice))))&
((?[X]:((creative(X)&rich(X))))=>((~tall(paul)<~>happy(paul))))&
(![X]:((~brave(X)&generous(X))<=>(~creative(X)|~tall(X))))&
((~patient(paul))=>(happy(mary)))&
(![X]:((~creative(X)<~>kind(X))<=>~calm(X)))&
(((calm(susan)<~>strong(susan)))=>(?[X]:(... | patient(mary) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 612391303778572774209488
% SZS output start Proof for 612391303778572774209488
11. ~creative(lucy) <=> (~old(lucy) <~> ~creative(lucy)) [input p10]
14. (~patient(mary) & ~rich(mary)) <=> ? [X0] : (old(X0) | ~brave(X0)) [input p13]
25. patient(mary) [input hypothesis]
57. (~creative(lucy) ... | 0 |
If someone is funny or kind then someone is either not wise or humble and vice versa.
Everyone who is happy is not old and vice versa.
Everyone who is not happy is both generous and calm.
Everyone who is old or rich is kind.
Everyone who is funny is not creative or not kind.
Everyone who is not humble or old is rich or... | Susan is old. | contradiction | ((?[X]:((funny(X)|kind(X))))<=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:(happy(X)<=>~old(X)))&
(![X]:(~happy(X)=>(generous(X)&calm(X))))&
(![X]:((old(X)|rich(X))=>kind(X)))&
(![X]:(funny(X)=>(~creative(X)|~kind(X))))&
(![X]:((~humble(X)|old(X))=>(rich(X)|~curious(X))))&
((curious(lucy))=>((strong(fred)<~>creative(fred))... | old(susan) | [
"p1",
"p2",
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9090926374690145743528756
% SZS output start Proof for 9090926374690145743528756
2. ! [X0] : (happy(X0) <=> ~old(X0)) [input p1]
3. ! [X0] : (~happy(X0) => (calm(X0) & generous(X0))) [input p2]
8. ! [X0] : ((generous(X0) & humble(X0)) => (happy(X0) & kind(X0))) [input p7]
22. ~happy(susan... | 0 |
Everyone who is not brave or not old is both happy and not wise. If someone is happy then someone is both generous and not generous and vice versa. If alice is either kind or not wise then someone is not funny and vice versa. If someone is not curious or not tall then someone is either calm or not calm. Everyone who is... | Lucy is not patient. | contradiction | (![X]:((~brave(X)|~old(X))=>(happy(X)&~wise(X))))&
((?[X]:(happy(X)))<=>(?[X]:((generous(X)&~generous(X)))))&
(((kind(alice)<~>~wise(alice)))<=>(?[X]:(~funny(X))))&
((?[X]:((~curious(X)|~tall(X))))=>(?[X]:((calm(X)<~>~calm(X)))))&
(![X]:((tall(X)|~brave(X))<=>(patient(X)&~patient(X))))&
(![X]:((happy(X)&~wise(X))<=>(~p... | ~patient(lucy) | [
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4049502966452898405932995
% SZS output start Proof for 4049502966452898405932995
5. ! [X0] : ((~brave(X0) | tall(X0)) <=> (~patient(X0) & patient(X0))) [input p4]
6. ! [X0] : ((~wise(X0) & happy(X0)) <=> (calm(X0) | ~patient(X0))) [input p5]
9. ! [X0] : ((happy(X0) & ~patient(X0)) => (tal... | 0 |
If alice is both not tall and not quiet then mary is either not creative or rich. Everyone who is tall or not generous is not strong or not curious and vice versa. If someone is either strong or humble then someone is either wise or not kind. Everyone who is not kind or patient is both not humble and generous. Everyone... | Fred is not humble. | contradiction | (((~tall(alice)&~quiet(alice)))=>((~creative(mary)<~>rich(mary))))&
(![X]:((tall(X)|~generous(X))<=>(~strong(X)|~curious(X))))&
((?[X]:((strong(X)<~>humble(X))))=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((~kind(X)|patient(X))=>(~humble(X)&generous(X))))&
(![X]:((~brave(X)|tall(X))=>(~brave(X)<~>calm(X))))&
((?[X]:((~tall... | ~humble(fred) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9128974260487384891748445
% SZS output start Proof for 9128974260487384891748445
6. ? [X0] : (wise(X0) | ~tall(X0)) <=> (~curious(lucy) & curious(lucy)) [input p5]
10. ! [X0] : (humble(X0) <=> (tall(X0) | wise(X0))) [input p9]
24. ~humble(fred) [input hypothesis]
42. (? [X0] : (wise(X0) |... | 0 |
Everyone who is both not rich and not strong is both generous and not happy and vice versa. If john is wise then someone is not humble and vice versa. Everyone who is either quiet or brave is tall or kind and vice versa. Everyone who is both generous and brave is curious or not creative. Everyone who is not kind or ric... | Alice is not quiet. | contradiction | (![X]:((~rich(X)&~strong(X))<=>(generous(X)&~happy(X))))&
((wise(john))<=>(?[X]:(~humble(X))))&
(![X]:((quiet(X)<~>brave(X))<=>(tall(X)|kind(X))))&
(![X]:((generous(X)&brave(X))=>(curious(X)|~creative(X))))&
(![X]:((~kind(X)|rich(X))<=>(~patient(X)|~quiet(X))))&
((~humble(john))<=>(?[X]:((~strong(X)<~>kind(X)))))&
((?[... | ~quiet(alice) | [
"p2",
"p10",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3168739802318439239267689
% SZS output start Proof for 3168739802318439239267689
3. ! [X0] : ((quiet(X0) <~> brave(X0)) <=> (kind(X0) | tall(X0))) [input p2]
11. ! [X0] : ((curious(X0) <~> ~tall(X0)) <=> (~kind(X0) & humble(X0))) [input p10]
12. ! [X0] : ((humble(X0) <~> old(X0)) <=> ~qui... | 0 |
Everyone who is quiet is not humble or not old.
Everyone who is not brave is both not patient and not wise and vice versa.
Everyone who is both not generous and patient is both funny and wise.
Everyone who is not curious is either not wise or calm.
If someone is not happy or not generous then someone is both brave and ... | John is kind. | neutral | (![X]:(quiet(X)=>(~humble(X)|~old(X))))&
(![X]:(~brave(X)<=>(~patient(X)&~wise(X))))&
(![X]:((~generous(X)&patient(X))=>(funny(X)&wise(X))))&
(![X]:(~curious(X)=>(~wise(X)<~>calm(X))))&
((?[X]:((~happy(X)|~generous(X))))=>(?[X]:((brave(X)&~brave(X)))))&
((~old(paul))<=>(~wise(mary)))&
((?[X]:((~strong(X)|calm(X))))<=>(... | kind(john) | [] | null | 0 |
If fred is not strong then someone is quiet and vice versa.
Everyone who is either not creative or generous is both rich and not curious.
Everyone who is either old or not quiet is both happy and creative.
Everyone who is either curious or generous is both not funny and not tall.
Everyone who is both strong and not hum... | John is not quiet. | entailment | ((~strong(fred))<=>(?[X]:(quiet(X))))&
(![X]:((~creative(X)<~>generous(X))=>(rich(X)&~curious(X))))&
(![X]:((old(X)<~>~quiet(X))=>(happy(X)&creative(X))))&
(![X]:((curious(X)<~>generous(X))=>(~funny(X)&~tall(X))))&
(![X]:((strong(X)&~humble(X))=>old(X)))&
(((creative(fred)|rich(fred)))<=>(?[X]:((~tall(X)&curious(X)))))... | ~quiet(john) | [
"p0",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 96080444195617594640172
% SZS output start Proof for 96080444195617594640172
1. ~strong(fred) <=> ? [X0] : quiet(X0) [input p0]
19. strong(fred) & tall(fred) [input p18]
25. quiet(john) [input hypothesis]
44. (~strong(fred) | ! [X0] : ~quiet(X0)) & (? [X0] : quiet(X0) | strong(fred)) [nnf... | 0 |
Everyone who is not curious or tall is not quiet or not brave. Everyone who is either not strong or not old is both not brave and calm and vice versa. Everyone who is not brave or not humble is not tall and vice versa. If paul is not quiet then someone is either kind or strong. If alice is rich or funny then mary is ei... | Mary is not tall. | entailment | (![X]:((~curious(X)|tall(X))=>(~quiet(X)|~brave(X))))&
(![X]:((~strong(X)<~>~old(X))<=>(~brave(X)&calm(X))))&
(![X]:((~brave(X)|~humble(X))<=>~tall(X)))&
((~quiet(paul))=>(?[X]:((kind(X)<~>strong(X)))))&
(((rich(alice)|funny(alice)))=>((~strong(mary)<~>calm(mary))))&
(((funny(lucy)&~humble(lucy)))=>(?[X]:((humble(X)<~>... | ~tall(mary) | [
"p0",
"p2",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3376875721108348467114101
% SZS output start Proof for 3376875721108348467114101
1. ! [X0] : ((tall(X0) | ~curious(X0)) => (~brave(X0) | ~quiet(X0))) [input p0]
3. ! [X0] : ((~humble(X0) | ~brave(X0)) <=> ~tall(X0)) [input p2]
8. ! [X0] : (~strong(X0) => strong(X0)) [input p7]
15. ! [X0] ... | 0 |
Everyone who is not brave is both old and kind and vice versa.
If someone is funny or not kind then john is both not creative and brave and vice versa.
If someone is not curious or rich then fred is both patient and not patient and vice versa.
Everyone who is not happy is both not quiet and not strong and vice versa.
E... | Lucy is not humble. | neutral | (![X]:(~brave(X)<=>(old(X)&kind(X))))&
((?[X]:((funny(X)|~kind(X))))<=>((~creative(john)&brave(john))))&
((?[X]:((~curious(X)|rich(X))))<=>((patient(fred)&~patient(fred))))&
(![X]:(~happy(X)<=>(~quiet(X)&~strong(X))))&
(![X]:((kind(X)<~>~brave(X))<=>(~patient(X)&kind(X))))&
(![X]:(~funny(X)<=>(~patient(X)<~>brave(X))))... | ~humble(lucy) | [] | null | 0 |
Everyone who is patient or happy is not funny.
Everyone who is not patient or not quiet is both wise and calm and vice versa.
Everyone who is funny or not tall is both not calm and tall.
Everyone who is strong is rich or old and vice versa.
Everyone who is either funny or not wise is both not calm and old and vice vers... | Lucy is old. | entailment | (![X]:((patient(X)|happy(X))=>~funny(X)))&
(![X]:((~patient(X)|~quiet(X))<=>(wise(X)&calm(X))))&
(![X]:((funny(X)|~tall(X))=>(~calm(X)&tall(X))))&
(![X]:(strong(X)<=>(rich(X)|old(X))))&
(![X]:((funny(X)<~>~wise(X))<=>(~calm(X)&old(X))))&
(![X]:((~brave(X)|~generous(X))=>(calm(X)&wise(X))))&
(![X]:((humble(X)&curious(X)... | old(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7797280114118945003121813
% SZS output start Proof for 7797280114118945003121813
1. ! [X0] : ((happy(X0) | patient(X0)) => ~funny(X0)) [input p0]
2. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> (calm(X0) & wise(X0))) [input p1]
3. ! [X0] : ((~tall(X0) | funny(X0)) => (tall(X0) & ~calm(X0))) ... | 0 |
If someone is not quiet then fred is either not happy or brave.
If john is not wise or funny then paul is either kind or humble.
Everyone who is not funny or curious is not happy and vice versa.
Everyone who is brave or humble is not quiet.
Everyone who is not creative is creative or not tall and vice versa.
Everyone w... | Mary is calm. | neutral | ((?[X]:(~quiet(X)))=>((~happy(fred)<~>brave(fred))))&
(((~wise(john)|funny(john)))=>((kind(paul)<~>humble(paul))))&
(![X]:((~funny(X)|curious(X))<=>~happy(X)))&
(![X]:((brave(X)|humble(X))=>~quiet(X)))&
(![X]:(~creative(X)<=>(creative(X)|~tall(X))))&
(![X]:((humble(X)<~>strong(X))=>(humble(X)&~rich(X))))&
((~quiet(lucy... | calm(mary) | [] | null | 0 |
Everyone who is not quiet is both not patient and not curious. Everyone who is either humble or generous is not funny and vice versa. Everyone who is not patient is both kind and rich and vice versa. Everyone who is either old or not happy is generous. If someone is both not quiet and not old then fred is wise or not p... | Alice is funny. | entailment | (![X]:(~quiet(X)=>(~patient(X)&~curious(X))))&
(![X]:((humble(X)<~>generous(X))<=>~funny(X)))&
(![X]:(~patient(X)<=>(kind(X)&rich(X))))&
(![X]:((old(X)<~>~happy(X))=>generous(X)))&
((?[X]:((~quiet(X)&~old(X))))<=>((wise(fred)|~patient(fred))))&
(![X]:((~old(X)&~curious(X))<=>~humble(X)))&
((?[X]:((wise(X)<~>~rich(X))))... | funny(alice) | [
"p2",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5863051543438948553412424
% SZS output start Proof for 5863051543438948553412424
3. ! [X0] : (~patient(X0) <=> (rich(X0) & kind(X0))) [input p2]
8. ! [X0] : (strong(X0) <=> rich(X0)) [input p7]
11. ! [X0] : (~kind(X0) <=> (strong(X0) <~> ~rich(X0))) [input p10]
12. ! [X0] : ((rich(X0) <~>... | 0 |
If lucy is either not calm or wise then mary is strong or wise.
Everyone who is both funny and not creative is not happy or wise and vice versa.
If mary is both tall and not quiet then someone is either curious or not happy.
If john is not tall or tall then someone is kind and vice versa.
If lucy is generous or quiet t... | Lucy is not rich. | neutral | (((~calm(lucy)<~>wise(lucy)))=>((strong(mary)|wise(mary))))&
(![X]:((funny(X)&~creative(X))<=>(~happy(X)|wise(X))))&
(((tall(mary)&~quiet(mary)))=>(?[X]:((curious(X)<~>~happy(X)))))&
(((~tall(john)|tall(john)))<=>(?[X]:(kind(X))))&
(((generous(lucy)|quiet(lucy)))<=>(?[X]:((humble(X)&~calm(X)))))&
(((calm(alice)&~quiet(... | ~rich(lucy) | [] | null | 0 |
If fred is either rich or not tall then mary is generous. If someone is not kind or not creative then susan is not brave or curious. Everyone who is not patient is not humble or not creative and vice versa. Everyone who is not rich or quiet is not old or not strong and vice versa. If susan is calm then mary is both str... | Fred is not rich. | entailment | (((rich(fred)<~>~tall(fred)))=>(generous(mary)))&
((?[X]:((~kind(X)|~creative(X))))=>((~brave(susan)|curious(susan))))&
(![X]:(~patient(X)<=>(~humble(X)|~creative(X))))&
(![X]:((~rich(X)|quiet(X))<=>(~old(X)|~strong(X))))&
((calm(susan))<=>((strong(mary)&~curious(mary))))&
(((~tall(alice)|calm(alice)))=>(?[X]:(quiet(X)... | ~rich(fred) | [
"p2",
"p3",
"p8",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 761931463910220974782130
% SZS output start Proof for 761931463910220974782130
3. ! [X0] : (~patient(X0) <=> (~creative(X0) | ~humble(X0))) [input p2]
4. ! [X0] : ((quiet(X0) | ~rich(X0)) <=> (~strong(X0) | ~old(X0))) [input p3]
9. ? [X0] : (quiet(X0) | ~creative(X0)) => ? [X0] : (~patien... | 0 |
Everyone who is not creative or not tall is rich and vice versa.
Everyone who is either not tall or humble is either not tall or not happy.
Everyone who is not brave or not patient is both not generous and creative.
If alice is either not wise or happy then paul is not creative or curious.
If john is both not rich and ... | Susan is not tall. | entailment | (![X]:((~creative(X)|~tall(X))<=>rich(X)))&
(![X]:((~tall(X)<~>humble(X))=>(~tall(X)<~>~happy(X))))&
(![X]:((~brave(X)|~patient(X))=>(~generous(X)&creative(X))))&
(((~wise(alice)<~>happy(alice)))=>((~creative(paul)|curious(paul))))&
(((~rich(john)&~generous(john)))=>(?[X]:((rich(X)|quiet(X)))))&
(![X]:((calm(X)<~>~pati... | ~tall(susan) | [
"p0",
"p2",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1761723426430622720973101
% SZS output start Proof for 1761723426430622720973101
1. ! [X0] : ((~tall(X0) | ~creative(X0)) <=> rich(X0)) [input p0]
3. ! [X0] : ((~patient(X0) | ~brave(X0)) => (creative(X0) & ~generous(X0))) [input p2]
14. (~kind(lucy) & brave(lucy)) <=> ? [X0] : (~generous... | 0 |
If someone is either not humble or not wise then someone is either not happy or not patient and vice versa. If someone is either not brave or not generous then lucy is not strong or not quiet and vice versa. If fred is not creative or not tall then someone is brave or patient. Everyone who is not generous is brave and ... | Paul is funny. | contradiction | ((?[X]:((~humble(X)<~>~wise(X))))<=>(?[X]:((~happy(X)<~>~patient(X)))))&
((?[X]:((~brave(X)<~>~generous(X))))<=>((~strong(lucy)|~quiet(lucy))))&
(((~creative(fred)|~tall(fred)))=>(?[X]:((brave(X)|patient(X)))))&
(![X]:(~generous(X)<=>brave(X)))&
((strong(mary))=>(?[X]:(patient(X))))&
(((~brave(fred)<~>~calm(fred)))=>(q... | funny(paul) | [
"p7",
"p11",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4053408694778288960941744
% SZS output start Proof for 4053408694778288960941744
8. ! [X0] : ((~strong(X0) <~> calm(X0)) => (~brave(X0) & old(X0))) [input p7]
12. ! [X0] : ((~calm(X0) & ~creative(X0)) <=> ~brave(X0)) [input p11]
14. ! [X0] : ((calm(X0) & ~creative(X0)) <=> (funny(X0) | ~t... | 0 |
Everyone who is rich or patient is both curious and not curious. If lucy is kind or not rich then someone is either tall or kind and vice versa. Everyone who is either not curious or humble is both funny and curious. Everyone who is not generous or funny is both not creative and not quiet. Everyone who is brave or curi... | Paul is not humble. | entailment | (![X]:((rich(X)|patient(X))=>(curious(X)&~curious(X))))&
(((kind(lucy)|~rich(lucy)))<=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:((~curious(X)<~>humble(X))=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(X)... | ~humble(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7312360307985434635368255
% SZS output start Proof for 7312360307985434635368255
13. ! [X0] : ((~humble(X0) & patient(X0)) <=> humble(X0)) [input p12]
19. humble(paul) [input hypothesis]
48. ! [X0] : (((~humble(X0) & patient(X0)) | ~humble(X0)) & (humble(X0) | (humble(X0) | ~patient(X0)))... | 0 |
If someone is wise then someone is creative.
If mary is wise then paul is both brave and tall.
If alice is patient or not humble then lucy is not brave and vice versa.
Everyone who is not creative or not wise is either kind or rich.
If someone is quiet or funny then someone is either humble or not brave.
Everyone who i... | Mary is old. | entailment | ((?[X]:(wise(X)))=>(?[X]:(creative(X))))&
((wise(mary))=>((brave(paul)&tall(paul))))&
(((patient(alice)|~humble(alice)))<=>(~brave(lucy)))&
(![X]:((~creative(X)|~wise(X))=>(kind(X)<~>rich(X))))&
((?[X]:((quiet(X)|funny(X))))=>(?[X]:((humble(X)<~>~brave(X)))))&
(![X]:((~rich(X)<~>humble(X))=>(~tall(X)&~curious(X))))&
(!... | old(mary) | [
"p1",
"p3",
"p5",
"p7",
"p8",
"p9",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1347714753563702673473273
% SZS output start Proof for 1347714753563702673473273
2. wise(mary) => (tall(paul) & brave(paul)) [input p1]
4. ! [X0] : ((~wise(X0) | ~creative(X0)) => (kind(X0) <~> rich(X0))) [input p3]
6. ! [X0] : ((~rich(X0) <~> humble(X0)) => (~curious(X0) & ~tall(X0))) [i... | 0 |
Everyone who is either tall or not rich is either strong or not quiet. If fred is not patient or not calm then someone is not wise. 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 is patient or not patient... | Lucy is patient. | neutral | (![X]:((tall(X)<~>~rich(X))=>(strong(X)<~>~quiet(X))))&
(((~patient(fred)|~calm(fred)))=>(?[X]:(~wise(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(... | patient(lucy) | [] | null | 0 |
Everyone who is wise or curious is both not generous and not old.
If someone is either not humble or not generous then someone is either humble or kind and vice versa.
Everyone who is both calm and not humble is either not brave or brave and vice versa.
Everyone who is either generous or not strong is kind.
Everyone wh... | Fred is not tall. | entailment | (![X]:((wise(X)|curious(X))=>(~generous(X)&~old(X))))&
((?[X]:((~humble(X)<~>~generous(X))))<=>(?[X]:((humble(X)<~>kind(X)))))&
(![X]:((calm(X)&~humble(X))<=>(~brave(X)<~>brave(X))))&
(![X]:((generous(X)<~>~strong(X))=>kind(X)))&
(![X]:((curious(X)<~>tall(X))=>brave(X)))&
((?[X]:((calm(X)<~>patient(X))))=>(~happy(susan... | ~tall(fred) | [
"p0",
"p2",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 643245518889738330495005
% SZS output start Proof for 643245518889738330495005
1. ! [X0] : ((curious(X0) | wise(X0)) => (~old(X0) & ~generous(X0))) [input p0]
3. ! [X0] : ((~humble(X0) & calm(X0)) <=> (~brave(X0) <~> brave(X0))) [input p2]
11. ! [X0] : ((~patient(X0) | ~curious(X0)) <=> (... | 0 |
Everyone who is old or not old is not humble and vice versa.
Everyone who is both not generous and curious is either not curious or generous and vice versa.
Everyone who is patient is wise or not rich and vice versa.
If susan is not generous then someone is both old and not creative.
Everyone who is either quiet or cre... | Lucy is tall. | contradiction | (![X]:((old(X)|~old(X))<=>~humble(X)))&
(![X]:((~generous(X)&curious(X))<=>(~curious(X)<~>generous(X))))&
(![X]:(patient(X)<=>(wise(X)|~rich(X))))&
((~generous(susan))=>(?[X]:((old(X)&~creative(X)))))&
(![X]:((quiet(X)<~>creative(X))<=>(old(X)|~funny(X))))&
(![X]:((~strong(X)<~>~humble(X))=>kind(X)))&
(![X]:((generous(... | tall(lucy) | [
"p0",
"p1",
"p2",
"p8",
"p9",
"p11",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7949446660952558360979476
% SZS output start Proof for 7949446660952558360979476
1. ! [X0] : ((~old(X0) | old(X0)) <=> ~humble(X0)) [input p0]
2. ! [X0] : ((curious(X0) & ~generous(X0)) <=> (~curious(X0) <~> generous(X0))) [input p1]
3. ! [X0] : (patient(X0) <=> (~rich(X0) | wise(X0))) [i... | 0 |
Everyone who is patient is funny or humble and vice versa.
Everyone who is either calm or old is either rich or funny and vice versa.
Everyone who is both rich and not strong is funny and vice versa.
Everyone who is either tall or brave is happy.
If mary is not rich or quiet then lucy is not humble or not rich and vice... | Paul is creative. | entailment | (![X]:(patient(X)<=>(funny(X)|humble(X))))&
(![X]:((calm(X)<~>old(X))<=>(rich(X)<~>funny(X))))&
(![X]:((rich(X)&~strong(X))<=>funny(X)))&
(![X]:((tall(X)<~>brave(X))=>happy(X)))&
(((~rich(mary)|quiet(mary)))<=>((~humble(lucy)|~rich(lucy))))&
(((~kind(susan)<~>~happy(susan)))=>(?[X]:((~funny(X)|old(X)))))&
(![X]:((calm(... | creative(paul) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4783637896730219113168213
% SZS output start Proof for 4783637896730219113168213
1. ! [X0] : (patient(X0) <=> (humble(X0) | funny(X0))) [input p0]
2. ! [X0] : ((calm(X0) <~> old(X0)) <=> (rich(X0) <~> funny(X0))) [input p1]
3. ! [X0] : ((~strong(X0) & rich(X0)) <=> funny(X0)) [input p2]
7... | 0 |
Everyone who is both generous and not curious is both creative and happy and vice versa. If fred is not calm or wise then someone is not patient or curious. If paul is not curious then someone is not funny or not brave and vice versa. Everyone who is both not old and generous is not brave. Everyone who is not brave is ... | Lucy is not tall. | entailment | (![X]:((generous(X)&~curious(X))<=>(creative(X)&happy(X))))&
(((~calm(fred)|wise(fred)))=>(?[X]:((~patient(X)|curious(X)))))&
((~curious(paul))<=>(?[X]:((~funny(X)|~brave(X)))))&
(![X]:((~old(X)&generous(X))=>~brave(X)))&
(![X]:(~brave(X)=>(~funny(X)<~>~curious(X))))&
((kind(paul))=>((~humble(lucy)<~>~quiet(lucy))))&
(... | ~tall(lucy) | [
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 646273460135971166866220
% SZS output start Proof for 646273460135971166866220
14. ! [X0] : (quiet(X0) <=> (tall(X0) & curious(X0))) [input p13]
21. ~quiet(lucy) & curious(lucy) [input p20]
25. tall(lucy) [input hypothesis]
64. ! [X0] : ((quiet(X0) | (~tall(X0) | ~curious(X0))) & ((tall(X... | 0 |
Everyone who is quiet is tall and vice versa. Everyone who is not wise or happy is both humble and creative. If susan is generous then someone is both patient and curious and vice versa. Everyone who is not calm is rich. Everyone who is both not quiet and tall is not curious. Everyone who is both kind and not curious i... | Paul is tall. | neutral | (![X]:(quiet(X)<=>tall(X)))&
(![X]:((~wise(X)|happy(X))=>(humble(X)&creative(X))))&
((generous(susan))<=>(?[X]:((patient(X)&curious(X)))))&
(![X]:(~calm(X)=>rich(X)))&
(![X]:((~quiet(X)&tall(X))=>~curious(X)))&
(![X]:((kind(X)&~curious(X))=>(~strong(X)&~tall(X))))&
((?[X]:((~old(X)|old(X))))=>((wise(lucy)<~>~old(lucy))... | tall(paul) | [] | null | 0 |
Everyone who is not funny is brave and vice versa.
If someone is not kind or old then someone is creative.
Everyone who is both not patient and happy is not patient.
Everyone who is not curious is not calm or not humble and vice versa.
Everyone who is either quiet or happy is creative and vice versa.
Everyone who is ei... | Alice is not quiet. | neutral | (![X]:(~funny(X)<=>brave(X)))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(creative(X))))&
(![X]:((~patient(X)&happy(X))=>~patient(X)))&
(![X]:(~curious(X)<=>(~calm(X)|~humble(X))))&
(![X]:((quiet(X)<~>happy(X))<=>creative(X)))&
(![X]:((strong(X)<~>kind(X))=>(quiet(X)|~strong(X))))&
(![X]:((creative(X)<~>brave(X))=>(~quiet(X)<... | ~quiet(alice) | [] | null | 0 |
Everyone who is tall is funny and vice versa.
Everyone who is not tall or kind is both happy and funny.
If someone is either not rich or not old then someone is not tall and vice versa.
Everyone who is not rich is wise or humble and vice versa.
If susan is both rich and not funny then someone is either not kind or not ... | John is calm. | contradiction | (![X]:(tall(X)<=>funny(X)))&
(![X]:((~tall(X)|kind(X))=>(happy(X)&funny(X))))&
((?[X]:((~rich(X)<~>~old(X))))<=>(?[X]:(~tall(X))))&
(![X]:(~rich(X)<=>(wise(X)|humble(X))))&
(((rich(susan)&~funny(susan)))=>(?[X]:((~kind(X)<~>~rich(X)))))&
(![X]:((funny(X)&old(X))<=>(~brave(X)&~old(X))))&
(![X]:(calm(X)=>generous(X)))&
(... | calm(john) | [
"p0",
"p1",
"p2",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4845969873236059007309577
% SZS output start Proof for 4845969873236059007309577
1. ! [X0] : (tall(X0) <=> funny(X0)) [input p0]
2. ! [X0] : ((kind(X0) | ~tall(X0)) => (funny(X0) & happy(X0))) [input p1]
3. ? [X0] : (~rich(X0) <~> ~old(X0)) <=> ? [X0] : ~tall(X0) [input p2]
6. ! [X0] : ((... | 0 |
Everyone who is not strong or tall is not old or calm.
Everyone who is wise is either not kind or quiet.
If alice is both kind and wise then someone is not rich or old and vice versa.
Everyone who is not generous or tall is not wise or curious.
If someone is both not kind and wise then someone is wise or not generous a... | Mary is not curious. | contradiction | (![X]:((~strong(X)|tall(X))=>(~old(X)|calm(X))))&
(![X]:(wise(X)=>(~kind(X)<~>quiet(X))))&
(((kind(alice)&wise(alice)))<=>(?[X]:((~rich(X)|old(X)))))&
(![X]:((~generous(X)|tall(X))=>(~wise(X)|curious(X))))&
((?[X]:((~kind(X)&wise(X))))<=>(?[X]:((wise(X)|~generous(X)))))&
(![X]:(~kind(X)=>(~generous(X)&strong(X))))&
(((... | ~curious(mary) | [
"p2",
"p3",
"p9",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1205093402699503208181382
% SZS output start Proof for 1205093402699503208181382
3. (wise(alice) & kind(alice)) <=> ? [X0] : (old(X0) | ~rich(X0)) [input p2]
4. ! [X0] : ((tall(X0) | ~generous(X0)) => (curious(X0) | ~wise(X0))) [input p3]
10. ! [X0] : ((creative(X0) & kind(X0)) <=> kind(X... | 0 |
If someone is both curious and not funny then someone is not tall and vice versa. Everyone who is not quiet is tall. Everyone who is not generous or not humble is both not humble and not happy. If someone is both curious and not brave then lucy is both humble and strong. Everyone who is old is not funny. Everyone who i... | John is kind. | entailment | ((?[X]:((curious(X)&~funny(X))))<=>(?[X]:(~tall(X))))&
(![X]:(~quiet(X)=>tall(X)))&
(![X]:((~generous(X)|~humble(X))=>(~humble(X)&~happy(X))))&
((?[X]:((curious(X)&~brave(X))))=>((humble(lucy)&strong(lucy))))&
(![X]:(old(X)=>~funny(X)))&
(![X]:(~generous(X)=>(humble(X)<~>~old(X))))&
(![X]:((~old(X)|happy(X))=>(brave(X)... | kind(john) | [
"p2",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6199886837064579762603754
% SZS output start Proof for 6199886837064579762603754
3. ! [X0] : ((~humble(X0) | ~generous(X0)) => (~happy(X0) & ~humble(X0))) [input p2]
16. ! [X0] : (~happy(X0) <=> (kind(X0) & ~humble(X0))) [input p15]
17. ~humble(john) & creative(john) [input p16]
25. ~kind... | 0 |
If susan is rich then mary is both not wise and curious and vice versa.
If someone is funny then someone is both kind and not rich.
If alice is either not tall or calm then fred is humble.
If someone is both not wise and strong then someone is both not wise and quiet.
If fred is not old then someone is both creative an... | Susan is rich. | contradiction | ((rich(susan))<=>((~wise(mary)&curious(mary))))&
((?[X]:(funny(X)))=>(?[X]:((kind(X)&~rich(X)))))&
(((~tall(alice)<~>calm(alice)))=>(humble(fred)))&
((?[X]:((~wise(X)&strong(X))))=>(?[X]:((~wise(X)&quiet(X)))))&
((~old(fred))<=>(?[X]:((creative(X)&~brave(X)))))&
(![X]:((strong(X)<~>rich(X))=>(strong(X)<~>~calm(X))))&
(... | rich(susan) | [
"p0",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 217914565955724086209707
% SZS output start Proof for 217914565955724086209707
1. rich(susan) <=> (curious(mary) & ~wise(mary)) [input p0]
15. ? [X0] : (~curious(X0) <~> ~wise(X0)) => ? [X0] : (old(X0) <~> ~strong(X0)) [input p14]
16. ! [X0] : (old(X0) <=> ~strong(X0)) [input p15]
24. ric... | 0 |
If someone is either not kind or not strong then paul is quiet.
If someone is either not brave or not strong then paul is either not brave or humble.
If john is not kind then someone is either not curious or not humble.
Everyone who is not happy is both not quiet and patient and vice versa.
If lucy is both not happy an... | John is calm. | neutral | ((?[X]:((~kind(X)<~>~strong(X))))=>(quiet(paul)))&
((?[X]:((~brave(X)<~>~strong(X))))=>((~brave(paul)<~>humble(paul))))&
((~kind(john))=>(?[X]:((~curious(X)<~>~humble(X)))))&
(![X]:(~happy(X)<=>(~quiet(X)&patient(X))))&
(((~happy(lucy)&quiet(lucy)))<=>(?[X]:((happy(X)&~old(X)))))&
(((~calm(mary)<~>humble(mary)))<=>(?[X... | calm(john) | [] | null | 0 |
Everyone who is either kind or wise is happy and vice versa. If lucy is humble then fred is not wise or calm and vice versa. If john is either not happy or not patient then susan is either brave or old. Everyone who is not quiet or not rich is quiet and vice versa. Everyone who is either not patient or generous is both... | Fred is curious. | neutral | (![X]:((kind(X)<~>wise(X))<=>happy(X)))&
((humble(lucy))<=>((~wise(fred)|calm(fred))))&
(((~happy(john)<~>~patient(john)))=>((brave(susan)<~>old(susan))))&
(![X]:((~quiet(X)|~rich(X))<=>quiet(X)))&
(![X]:((~patient(X)<~>generous(X))<=>(curious(X)&brave(X))))&
(![X]:((~creative(X)|generous(X))<=>quiet(X)))&
(((old(paul)... | curious(fred) | [] | 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... | Lucy 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(lucy) | [
"p0",
"p3",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6120845290256004141867404
% SZS output start Proof for 6120845290256004141867404
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 |
Everyone who is both brave and creative is either not humble or not old and vice versa.
If someone is either tall or not strong then lucy is not creative and vice versa.
Everyone who is happy or patient is not humble.
If fred is either curious or calm then someone is both strong and creative and vice versa.
Everyone wh... | Alice is not old. | contradiction | (![X]:((brave(X)&creative(X))<=>(~humble(X)<~>~old(X))))&
((?[X]:((tall(X)<~>~strong(X))))<=>(~creative(lucy)))&
(![X]:((happy(X)|patient(X))=>~humble(X)))&
(((curious(fred)<~>calm(fred)))<=>(?[X]:((strong(X)&creative(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(tall(X)|patient(X))))&
(![X]:((~old(X)|brave(X))<=>happy(X)))&
... | ~old(alice) | [
"p0",
"p2",
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6197379630067937942609920
% SZS output start Proof for 6197379630067937942609920
1. ! [X0] : ((creative(X0) & brave(X0)) <=> (~humble(X0) <~> ~old(X0))) [input p0]
3. ! [X0] : ((patient(X0) | happy(X0)) => ~humble(X0)) [input p2]
6. ! [X0] : ((brave(X0) | ~old(X0)) <=> happy(X0)) [input p... | 0 |
Everyone who is not wise or not humble is rich.
If paul is both patient and wise then someone is funny.
Everyone who is either humble or rich is not patient and vice versa.
Everyone who is both not patient and happy is either brave or not quiet and vice versa.
Everyone who is not generous is both not patient and rich.
... | Paul is not humble. | neutral | (![X]:((~wise(X)|~humble(X))=>rich(X)))&
(((patient(paul)&wise(paul)))=>(?[X]:(funny(X))))&
(![X]:((humble(X)<~>rich(X))<=>~patient(X)))&
(![X]:((~patient(X)&happy(X))<=>(brave(X)<~>~quiet(X))))&
(![X]:(~generous(X)=>(~patient(X)&rich(X))))&
((humble(alice))=>(?[X]:(humble(X))))&
(![X]:((strong(X)|curious(X))<=>(happy(... | ~humble(paul) | [] | null | 0 |
Everyone who is not humble or old is not brave or not patient and vice versa.
Everyone who is not calm is either generous or not creative.
Everyone who is either humble or not calm is not tall.
If fred is curious then someone is not rich or not generous.
Everyone who is not old is either not funny or rich and vice vers... | Paul is brave. | neutral | (![X]:((~humble(X)|old(X))<=>(~brave(X)|~patient(X))))&
(![X]:(~calm(X)=>(generous(X)<~>~creative(X))))&
(![X]:((humble(X)<~>~calm(X))=>~tall(X)))&
((curious(fred))=>(?[X]:((~rich(X)|~generous(X)))))&
(![X]:(~old(X)<=>(~funny(X)<~>rich(X))))&
((~brave(susan))<=>(?[X]:(curious(X))))&
(![X]:((~rich(X)|generous(X))<=>(hap... | brave(paul) | [] | null | 0 |
Everyone who is not old is old or funny and vice versa. If john is strong then susan is not generous or curious. If susan is either happy or humble then paul is funny or creative and vice versa. Everyone who is either not generous or funny is rich and vice versa. Everyone who is not creative is both wise and not strong... | Paul is not humble. | contradiction | (![X]:(~old(X)<=>(old(X)|funny(X))))&
((strong(john))=>((~generous(susan)|curious(susan))))&
(((happy(susan)<~>humble(susan)))<=>((funny(paul)|creative(paul))))&
(![X]:((~generous(X)<~>funny(X))<=>rich(X)))&
(![X]:(~creative(X)<=>(wise(X)&~strong(X))))&
((~old(susan))<=>((~humble(lucy)<~>~generous(lucy))))&
(![X]:((old... | ~humble(paul) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3040195444582986469623630
% SZS output start Proof for 3040195444582986469623630
1. ! [X0] : (~old(X0) <=> (funny(X0) | old(X0))) [input p0]
7. ! [X0] : ((~humble(X0) | old(X0)) => (~tall(X0) & old(X0))) [input p6]
22. ~humble(paul) [input hypothesis]
26. ! [X0] : ((~tall(X0) & old(X0)) |... | 0 |
Everyone who is either not funny or patient is not rich or creative.
If fred is both funny and humble then someone is both wise and tall.
Everyone who is patient or not tall is both quiet and not generous.
If john is either not generous or quiet then someone is either not wise or curious and vice versa.
Everyone who is... | Fred is not tall. | contradiction | (![X]:((~funny(X)<~>patient(X))=>(~rich(X)|creative(X))))&
(((funny(fred)&humble(fred)))=>(?[X]:((wise(X)&tall(X)))))&
(![X]:((patient(X)|~tall(X))=>(quiet(X)&~generous(X))))&
(((~generous(john)<~>quiet(john)))<=>(?[X]:((~wise(X)<~>curious(X)))))&
(![X]:(wise(X)=>~curious(X)))&
(![X]:((curious(X)&strong(X))<=>(~generou... | ~tall(fred) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4814858331867047964454991
% SZS output start Proof for 4814858331867047964454991
3. ! [X0] : ((~tall(X0) | patient(X0)) => (~generous(X0) & quiet(X0))) [input p2]
12. ! [X0] : ((~calm(X0) | ~generous(X0)) => (tall(X0) & strong(X0))) [input p11]
24. ~tall(fred) [input hypothesis]
32. ! [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 ... | Lucy is strong. | entailment | (![X]:((~happy(X)&happy(X))=>strong(X)))&
((?[X]:((~patient(X)&rich(X))))<=>((funny(lucy)|~brave(lucy))))&
((quiet(john))=>((~brave(susan)&~tall(susan))))&
(![X]:((quiet(X)|~patient(X))<=>(~rich(X)&quiet(X))))&
(![X]:((quiet(X)&happy(X))<=>~kind(X)))&
(![X]:((happy(X)&kind(X))<=>(kind(X)|~tall(X))))&
(![X]:((patient(X)... | strong(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4418290719972486427616097
% SZS output start Proof for 4418290719972486427616097
17. generous(lucy) & strong(lucy) [input p16]
23. ~strong(lucy) [input hypothesis]
113. strong(lucy) [cnf transformation 17]
121. ~strong(lucy) [cnf transformation 23]
204. $false [subsumption resolution 121,... | 0 |
Everyone who is not humble or old is both not strong and calm and vice versa. Everyone who is both brave and creative is either happy or not humble. Everyone who is not generous is both generous and patient and vice versa. If john is not calm or not funny then mary is patient and vice versa. If susan is both kind and n... | Susan is calm. | entailment | (![X]:((~humble(X)|old(X))<=>(~strong(X)&calm(X))))&
(![X]:((brave(X)&creative(X))=>(happy(X)<~>~humble(X))))&
(![X]:(~generous(X)<=>(generous(X)&patient(X))))&
(((~calm(john)|~funny(john)))<=>(patient(mary)))&
(((kind(susan)&~rich(susan)))<=>(?[X]:((wise(X)<~>calm(X)))))&
((?[X]:(~humble(X)))<=>(~patient(susan)))&
(![... | calm(susan) | [
"p0",
"p2",
"p7",
"p8",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5447526465181323129245307
% SZS output start Proof for 5447526465181323129245307
1. ! [X0] : ((old(X0) | ~humble(X0)) <=> (calm(X0) & ~strong(X0))) [input p0]
3. ! [X0] : (~generous(X0) <=> (patient(X0) & generous(X0))) [input p2]
8. ! [X0] : ((wise(X0) | ~generous(X0)) <=> (~patient(X0) ... | 0 |
Everyone who is both not brave and wise is either not kind or not funny and vice versa.
Everyone who is not funny or not happy is both not strong and rich.
Everyone who is both not strong and not humble is old and vice versa.
If someone is either not calm or brave then someone is both rich and not curious.
Everyone who... | Lucy is funny. | entailment | (![X]:((~brave(X)&wise(X))<=>(~kind(X)<~>~funny(X))))&
(![X]:((~funny(X)|~happy(X))=>(~strong(X)&rich(X))))&
(![X]:((~strong(X)&~humble(X))<=>old(X)))&
((?[X]:((~calm(X)<~>brave(X))))=>(?[X]:((rich(X)&~curious(X)))))&
(![X]:((strong(X)&~generous(X))<=>(~strong(X)<~>~old(X))))&
(![X]:(calm(X)<=>~wise(X)))&
((?[X]:((~cal... | funny(lucy) | [
"p0",
"p1",
"p3",
"p6",
"p8",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3910115414889216229364325
% SZS output start Proof for 3910115414889216229364325
1. ! [X0] : ((wise(X0) & ~brave(X0)) <=> (~kind(X0) <~> ~funny(X0))) [input p0]
2. ! [X0] : ((~happy(X0) | ~funny(X0)) => (rich(X0) & ~strong(X0))) [input p1]
4. ? [X0] : (~calm(X0) <~> brave(X0)) => ? [X0] :... | 0 |
If susan is brave or calm then paul is not strong.
If someone is quiet or not wise then susan is old and vice versa.
If fred is both funny and rich then someone is both happy and humble and vice versa.
Everyone who is creative is not tall or not happy.
Everyone who is not rich is either not kind or old.
Everyone who is... | Fred is not tall. | neutral | (((brave(susan)|calm(susan)))=>(~strong(paul)))&
((?[X]:((quiet(X)|~wise(X))))<=>(old(susan)))&
(((funny(fred)&rich(fred)))<=>(?[X]:((happy(X)&humble(X)))))&
(![X]:(creative(X)=>(~tall(X)|~happy(X))))&
(![X]:(~rich(X)=>(~kind(X)<~>old(X))))&
(![X]:((old(X)|~old(X))<=>(~happy(X)<~>~quiet(X))))&
((?[X]:(tall(X)))=>(?[X]:... | ~tall(fred) | [] | null | 0 |
Everyone who is both patient and not tall is calm or wise and vice versa.
If someone is happy then lucy is both rich and brave and vice versa.
Everyone who is not strong is curious and vice versa.
If john is either not creative or calm then paul is either not curious or not creative.
Everyone who is humble or not tall ... | Lucy is quiet. | entailment | (![X]:((patient(X)&~tall(X))<=>(calm(X)|wise(X))))&
((?[X]:(happy(X)))<=>((rich(lucy)&brave(lucy))))&
(![X]:(~strong(X)<=>curious(X)))&
(((~creative(john)<~>calm(john)))=>((~curious(paul)<~>~creative(paul))))&
(![X]:((humble(X)|~tall(X))=>(~happy(X)&rich(X))))&
(![X]:((~happy(X)|patient(X))=>(~funny(X)&calm(X))))&
(![X... | quiet(lucy) | [
"p0",
"p4",
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4086439079966105804436303
% SZS output start Proof for 4086439079966105804436303
1. ! [X0] : ((~tall(X0) & patient(X0)) <=> (wise(X0) | calm(X0))) [input p0]
5. ! [X0] : ((~tall(X0) | humble(X0)) => (rich(X0) & ~happy(X0))) [input p4]
6. ! [X0] : ((patient(X0) | ~happy(X0)) => (calm(X0) &... | 0 |
If mary is both not patient and not old then someone is not strong. Everyone who is either not quiet or humble is both happy and kind and vice versa. If fred is both not calm and curious then alice is not kind and vice versa. Everyone who is tall is either calm or not humble. Everyone who is either not generous or curi... | Alice is not humble. | contradiction | (((~patient(mary)&~old(mary)))=>(?[X]:(~strong(X))))&
(![X]:((~quiet(X)<~>humble(X))<=>(happy(X)&kind(X))))&
(((~calm(fred)&curious(fred)))<=>(~kind(alice)))&
(![X]:(tall(X)=>(calm(X)<~>~humble(X))))&
(![X]:((~generous(X)<~>curious(X))=>(~rich(X)&~generous(X))))&
(![X]:((~kind(X)<~>brave(X))<=>(~patient(X)&~happy(X))))... | ~humble(alice) | [
"p1",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8794743368783263429922476
% SZS output start Proof for 8794743368783263429922476
2. ! [X0] : ((~quiet(X0) <~> humble(X0)) <=> (kind(X0) & happy(X0))) [input p1]
6. ! [X0] : ((~kind(X0) <~> brave(X0)) <=> (~happy(X0) & ~patient(X0))) [input p5]
7. ! [X0] : (~brave(X0) => (patient(X0) & ~ki... | 0 |
Everyone who is quiet is generous or humble and vice versa. If someone is both not humble and creative then someone is both not happy and wise and vice versa. Everyone who is both not strong and humble is both old and not humble and vice versa. Everyone who is not kind or not creative is not creative or wise. Everyone ... | Alice is calm. | neutral | (![X]:(quiet(X)<=>(generous(X)|humble(X))))&
((?[X]:((~humble(X)&creative(X))))<=>(?[X]:((~happy(X)&wise(X)))))&
(![X]:((~strong(X)&humble(X))<=>(old(X)&~humble(X))))&
(![X]:((~kind(X)|~creative(X))=>(~creative(X)|wise(X))))&
(![X]:((~patient(X)&~wise(X))<=>~creative(X)))&
(![X]:((~tall(X)&~happy(X))=>strong(X)))&
(((~... | calm(alice) | [] | null | 0 |
Everyone who is either brave or tall is not happy or calm and vice versa.
If john is either not creative or not calm then someone is both not creative and wise.
If someone is both not old and not strong then someone is kind and vice versa.
If someone is wise then someone is either not rich or patient.
If someone is not... | John is brave. | contradiction | (![X]:((brave(X)<~>tall(X))<=>(~happy(X)|calm(X))))&
(((~creative(john)<~>~calm(john)))=>(?[X]:((~creative(X)&wise(X)))))&
((?[X]:((~old(X)&~strong(X))))<=>(?[X]:(kind(X))))&
((?[X]:(wise(X)))=>(?[X]:((~rich(X)<~>patient(X)))))&
((?[X]:((~kind(X)|~curious(X))))=>(?[X]:((wise(X)|~brave(X)))))&
(![X]:((~brave(X)<~>old(X)... | brave(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3925711127437512755473992
% SZS output start Proof for 3925711127437512755473992
10. ! [X0] : ((brave(X0) & ~creative(X0)) <=> (brave(X0) & creative(X0))) [input p9]
22. brave(john) [input hypothesis]
62. ! [X0] : (((brave(X0) & ~creative(X0)) | (~brave(X0) | ~creative(X0))) & ((brave(X0)... | 0 |
If someone is rich or not curious then john is not kind.
Everyone who is not happy is either humble or not generous.
Everyone who is not old is wise and vice versa.
Everyone who is calm or not wise is both not old and calm.
Everyone who is wise or not wise is creative.
If someone is not strong or creative then john is ... | Fred is wise. | entailment | ((?[X]:((rich(X)|~curious(X))))=>(~kind(john)))&
(![X]:(~happy(X)=>(humble(X)<~>~generous(X))))&
(![X]:(~old(X)<=>wise(X)))&
(![X]:((calm(X)|~wise(X))=>(~old(X)&calm(X))))&
(![X]:((wise(X)|~wise(X))=>creative(X)))&
((?[X]:((~strong(X)|creative(X))))<=>((quiet(john)<~>~strong(john))))&
(((~rich(mary)<~>~funny(mary)))=>(... | wise(fred) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2557723770607363058422462
% SZS output start Proof for 2557723770607363058422462
3. ! [X0] : (~old(X0) <=> wise(X0)) [input p2]
4. ! [X0] : ((~wise(X0) | calm(X0)) => (calm(X0) & ~old(X0))) [input p3]
23. ~wise(fred) [input hypothesis]
29. ! [X0] : ((calm(X0) & ~old(X0)) | (wise(X0) & ~ca... | 0 |
If mary is not old then susan is both not calm and not happy.
Everyone who is either kind or not happy is not strong or not generous.
Everyone who is not funny is either not old or not quiet.
Everyone who is either calm or funny is either not happy or tall.
If someone is either humble or not curious then someone is not... | Alice is rich. | entailment | ((~old(mary))=>((~calm(susan)&~happy(susan))))&
(![X]:((kind(X)<~>~happy(X))=>(~strong(X)|~generous(X))))&
(![X]:(~funny(X)=>(~old(X)<~>~quiet(X))))&
(![X]:((calm(X)<~>funny(X))=>(~happy(X)<~>tall(X))))&
((?[X]:((humble(X)<~>~curious(X))))=>(?[X]:(~calm(X))))&
((kind(fred))<=>(?[X]:((funny(X)<~>humble(X)))))&
(![X]:((~... | rich(alice) | [
"p9",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2341103792199124303295070
% SZS output start Proof for 2341103792199124303295070
10. ! [X0] : (~generous(X0) <=> (~wise(X0) & ~brave(X0))) [input p9]
16. ! [X0] : ((~wise(X0) | ~creative(X0)) <=> generous(X0)) [input p15]
23. ~generous(alice) <~> rich(alice) [input p22]
25. ~rich(alice) [... | 0 |
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