premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both curious and quiet is not tall or happy and vice versa.
Everyone who is both not curious and not happy is both not kind and patient and vice versa.
Everyone who is either not calm or creative is not brave or not strong and vice versa.
Everyone who is quiet is not quiet or calm.
If someone is not bra... | Fred is kind. | entailment | (![X]:((curious(X)&quiet(X))<=>(~tall(X)|happy(X))))&
(![X]:((~curious(X)&~happy(X))<=>(~kind(X)&patient(X))))&
(![X]:((~calm(X)<~>creative(X))<=>(~brave(X)|~strong(X))))&
(![X]:(quiet(X)=>(~quiet(X)|calm(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(curious(X))))&
((?[X]:(patient(X)))<=>(?[X]:((wise(X)&happy(X)))))&
(((kind(fre... | kind(fred) | [
"p0",
"p1",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8784980880829170950964618
% SZS output start Proof for 8784980880829170950964618
1. ! [X0] : ((quiet(X0) & curious(X0)) <=> (happy(X0) | ~tall(X0))) [input p0]
2. ! [X0] : ((~happy(X0) & ~curious(X0)) <=> (patient(X0) & ~kind(X0))) [input p1]
6. ? [X0] : patient(X0) <=> ? [X0] : (happy(X0... | 0 |
Everyone who is happy or tall is either not patient or brave. If someone is brave or calm then someone is old. If john is not generous or happy then someone is either not rich or not brave and vice versa. Everyone who is humble is quiet or creative. If fred is strong then john is rich. Everyone who is either not strong... | John is not funny. | contradiction | (![X]:((happy(X)|tall(X))=>(~patient(X)<~>brave(X))))&
((?[X]:((brave(X)|calm(X))))=>(?[X]:(old(X))))&
(((~generous(john)|happy(john)))<=>(?[X]:((~rich(X)<~>~brave(X)))))&
(![X]:(humble(X)=>(quiet(X)|creative(X))))&
((strong(fred))=>(rich(john)))&
(![X]:((~strong(X)<~>~wise(X))<=>calm(X)))&
(![X]:((creative(X)|~old(X))... | ~funny(john) | [
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7524789425706241845486089
% SZS output start Proof for 7524789425706241845486089
12. ! [X0] : (curious(X0) => funny(X0)) [input p11]
20. curious(john) & calm(john) [input p19]
25. ~funny(john) [input hypothesis]
36. ! [X0] : (funny(X0) | ~curious(X0)) [ennf transformation 12]
113. ~curiou... | 0 |
Everyone who is not curious is not kind and vice versa.
Everyone who is not calm is not happy or strong and vice versa.
Everyone who is both not rich and not kind is either not wise or not brave.
Everyone who is either strong or not wise is happy and vice versa.
Everyone who is curious is calm.
Everyone who is either c... | Susan is not quiet. | contradiction | (![X]:(~curious(X)<=>~kind(X)))&
(![X]:(~calm(X)<=>(~happy(X)|strong(X))))&
(![X]:((~rich(X)&~kind(X))=>(~wise(X)<~>~brave(X))))&
(![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious... | ~quiet(susan) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9189699966850708855370003
% SZS output start Proof for 9189699966850708855370003
1. ! [X0] : (~curious(X0) <=> ~kind(X0)) [input p0]
2. ! [X0] : (~calm(X0) <=> (strong(X0) | ~happy(X0))) [input p1]
4. ! [X0] : ((strong(X0) <~> ~wise(X0)) <=> happy(X0)) [input p3]
6. ! [X0] : ((curious(X0)... | 0 |
If someone is not old or patient then fred is wise or not rich.
Everyone who is both tall and patient is both not generous and humble and vice versa.
Everyone who is tall is both not happy and creative and vice versa.
Everyone who is quiet is curious and vice versa.
Everyone who is both funny and quiet is either tall o... | Paul is brave. | contradiction | ((?[X]:((~old(X)|patient(X))))=>((wise(fred)|~rich(fred))))&
(![X]:((tall(X)&patient(X))<=>(~generous(X)&humble(X))))&
(![X]:(tall(X)<=>(~happy(X)&creative(X))))&
(![X]:(quiet(X)<=>curious(X)))&
(![X]:((funny(X)&quiet(X))<=>(tall(X)<~>patient(X))))&
((?[X]:((wise(X)|~generous(X))))<=>(?[X]:((happy(X)<~>tall(X)))))&
(![... | brave(paul) | [
"p2",
"p9",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6429643688645415822521795
% SZS output start Proof for 6429643688645415822521795
3. ! [X0] : (tall(X0) <=> (creative(X0) & ~happy(X0))) [input p2]
10. ? [X0] : creative(X0) => (~brave(paul) | happy(paul)) [input p9]
13. ! [X0] : ((tall(X0) <~> ~creative(X0)) <=> (creative(X0) | tall(X0)))... | 0 |
Everyone who is not brave is not calm or not humble and vice versa. Everyone who is not patient is both curious and not happy. Everyone who is not quiet is both not strong and not patient. Everyone who is not quiet or not happy is either not patient or not happy and vice versa. Everyone who is both strong and not happy... | Susan is kind. | neutral | (![X]:(~brave(X)<=>(~calm(X)|~humble(X))))&
(![X]:(~patient(X)=>(curious(X)&~happy(X))))&
(![X]:(~quiet(X)=>(~strong(X)&~patient(X))))&
(![X]:((~quiet(X)|~happy(X))<=>(~patient(X)<~>~happy(X))))&
(![X]:((strong(X)&~happy(X))=>(brave(X)<~>~strong(X))))&
(![X]:((~calm(X)&strong(X))<=>(happy(X)<~>~calm(X))))&
(![X]:((tall... | kind(susan) | [] | null | 0 |
If paul is either brave or not strong then someone is both brave and not kind and vice versa.
Everyone who is both not old and wise is both funny and not happy and vice versa.
Everyone who is not tall or not humble is both not creative and wise.
Everyone who is both not brave and not generous is not happy or calm.
Ever... | Fred is not creative. | entailment | (((brave(paul)<~>~strong(paul)))<=>(?[X]:((brave(X)&~kind(X)))))&
(![X]:((~old(X)&wise(X))<=>(funny(X)&~happy(X))))&
(![X]:((~tall(X)|~humble(X))=>(~creative(X)&wise(X))))&
(![X]:((~brave(X)&~generous(X))=>(~happy(X)|calm(X))))&
(![X]:((wise(X)|patient(X))<=>~quiet(X)))&
((?[X]:((~kind(X)&happy(X))))=>(?[X]:(~strong(X)... | ~creative(fred) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7695617765698050818994658
% SZS output start Proof for 7695617765698050818994658
3. ! [X0] : ((~humble(X0) | ~tall(X0)) => (wise(X0) & ~creative(X0))) [input p2]
15. ! [X0] : (tall(X0) <=> (~creative(X0) <~> ~humble(X0))) [input p14]
25. creative(fred) [input hypothesis]
27. ! [X0] : ((wi... | 0 |
If alice is both kind and not rich then someone is not wise or quiet.
Everyone who is either funny or not kind is not rich or not old and vice versa.
Everyone who is not calm or calm is not rich or not quiet.
If someone is generous then someone is not kind and vice versa.
If alice is both curious and calm then someone ... | Paul is calm. | contradiction | (((kind(alice)&~rich(alice)))=>(?[X]:((~wise(X)|quiet(X)))))&
(![X]:((funny(X)<~>~kind(X))<=>(~rich(X)|~old(X))))&
(![X]:((~calm(X)|calm(X))=>(~rich(X)|~quiet(X))))&
((?[X]:(generous(X)))<=>(?[X]:(~kind(X))))&
(((curious(alice)&calm(alice)))<=>(?[X]:(~tall(X))))&
(![X]:(~curious(X)=>(strong(X)<~>creative(X))))&
(((~hap... | calm(paul) | [
"p1",
"p4",
"p8",
"p10",
"p14",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6634182813544541069194665
% SZS output start Proof for 6634182813544541069194665
2. ! [X0] : ((funny(X0) <~> ~kind(X0)) <=> (~old(X0) | ~rich(X0))) [input p1]
5. (calm(alice) & curious(alice)) <=> ? [X0] : ~tall(X0) [input p4]
9. ? [X0] : calm(X0) <=> ? [X0] : (~humble(X0) & ~tall(X0)) [i... | 0 |
If fred is both quiet and generous then someone is old or happy. Everyone who is both funny and kind is both humble and not rich. Everyone who is not funny or calm is not funny and vice versa. Everyone who is both generous and humble is wise or brave and vice versa. Everyone who is calm is not generous. If susan is eit... | Fred is not curious. | entailment | (((quiet(fred)&generous(fred)))=>(?[X]:((old(X)|happy(X)))))&
(![X]:((funny(X)&kind(X))=>(humble(X)&~rich(X))))&
(![X]:((~funny(X)|calm(X))<=>~funny(X)))&
(![X]:((generous(X)&humble(X))<=>(wise(X)|brave(X))))&
(![X]:(calm(X)=>~generous(X)))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>p... | ~curious(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8232158607626349859399598
% SZS output start Proof for 8232158607626349859399598
10. ! [X0] : ((wise(X0) | curious(X0)) => ~curious(X0)) [input p9]
24. curious(fred) [input hypothesis]
33. ! [X0] : (~curious(X0) | (~wise(X0) & ~curious(X0))) [ennf transformation 10]
87. ~curious(X0) | ~cu... | 0 |
If someone is happy then paul is not strong.
Everyone who is either not rich or funny is not tall and vice versa.
Everyone who is both not patient and rich is not generous or not curious and vice versa.
If someone is not strong then someone is generous or not strong and vice versa.
Everyone who is not tall or not curio... | John is not kind. | neutral | ((?[X]:(happy(X)))=>(~strong(paul)))&
(![X]:((~rich(X)<~>funny(X))<=>~tall(X)))&
(![X]:((~patient(X)&rich(X))<=>(~generous(X)|~curious(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((generous(X)|~strong(X)))))&
(![X]:((~tall(X)|~curious(X))<=>(quiet(X)|humble(X))))&
(((rich(paul)|~creative(paul)))<=>((~kind(lucy)<~>~patient(lucy... | ~kind(john) | [] | null | 0 |
Everyone who is both happy and not generous is both not rich and funny and vice versa.
If john is both generous and not kind then someone is both funny and not quiet and vice versa.
If someone is generous or not old then john is both not generous and tall.
Everyone who is both not tall and strong is both brave and gene... | Alice is patient. | neutral | (![X]:((happy(X)&~generous(X))<=>(~rich(X)&funny(X))))&
(((generous(john)&~kind(john)))<=>(?[X]:((funny(X)&~quiet(X)))))&
((?[X]:((generous(X)|~old(X))))=>((~generous(john)&tall(john))))&
(![X]:((~tall(X)&strong(X))=>(brave(X)&generous(X))))&
(![X]:(generous(X)=>tall(X)))&
(![X]:((~wise(X)<~>~strong(X))=>(~happy(X)<~>p... | patient(alice) | [] | null | 0 |
If john is both humble and not humble then someone is either curious or strong and vice versa.
If someone is either quiet or wise then lucy is both humble and not creative and vice versa.
If someone is rich then someone is not quiet and vice versa.
Everyone who is not patient is patient.
If lucy is both not calm and ca... | Fred is not generous. | contradiction | (((humble(john)&~humble(john)))<=>(?[X]:((curious(X)<~>strong(X)))))&
((?[X]:((quiet(X)<~>wise(X))))<=>((humble(lucy)&~creative(lucy))))&
((?[X]:(rich(X)))<=>(?[X]:(~quiet(X))))&
(![X]:(~patient(X)=>patient(X)))&
(((~calm(lucy)&calm(lucy)))=>(?[X]:((~creative(X)&~quiet(X)))))&
(![X]:((~generous(X)|~patient(X))=>(~happy... | ~generous(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8183825057614696505852989
% SZS output start Proof for 8183825057614696505852989
6. ! [X0] : ((~patient(X0) | ~generous(X0)) => (generous(X0) & ~happy(X0))) [input p5]
23. ~generous(fred) [input hypothesis]
29. ! [X0] : ((generous(X0) & ~happy(X0)) | (patient(X0) & generous(X0))) [ennf tr... | 0 |
Everyone who is either old or not quiet is either brave or humble.
If someone is either brave or happy then alice is either not calm or funny and vice versa.
If alice is not happy or curious then susan is brave or tall and vice versa.
If someone is both kind and not humble then susan is not patient or not tall.
Everyon... | Mary is not kind. | entailment | (![X]:((old(X)<~>~quiet(X))=>(brave(X)<~>humble(X))))&
((?[X]:((brave(X)<~>happy(X))))<=>((~calm(alice)<~>funny(alice))))&
(((~happy(alice)|curious(alice)))<=>((brave(susan)|tall(susan))))&
((?[X]:((kind(X)&~humble(X))))=>((~patient(susan)|~tall(susan))))&
(![X]:((generous(X)<~>old(X))<=>(~funny(X)&humble(X))))&
(![X]:... | ~kind(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1543882167767643206282412
% SZS output start Proof for 1543882167767643206282412
13. ! [X0] : (kind(X0) <=> (~kind(X0) & ~generous(X0))) [input p12]
23. kind(mary) [input hypothesis]
51. ! [X0] : ((kind(X0) | (kind(X0) | generous(X0))) & ((~kind(X0) & ~generous(X0)) | ~kind(X0))) [nnf tra... | 0 |
If lucy is both happy and not patient then someone is generous and vice versa.
Everyone who is not happy is wise and vice versa.
Everyone who is not old or wise is not tall or happy and vice versa.
Everyone who is both not happy and patient is both generous and not happy.
Everyone who is either not wise or humble is bo... | Paul is not calm. | neutral | (((happy(lucy)&~patient(lucy)))<=>(?[X]:(generous(X))))&
(![X]:(~happy(X)<=>wise(X)))&
(![X]:((~old(X)|wise(X))<=>(~tall(X)|happy(X))))&
(![X]:((~happy(X)&patient(X))=>(generous(X)&~happy(X))))&
(![X]:((~wise(X)<~>humble(X))=>(~kind(X)&~brave(X))))&
(![X]:((brave(X)<~>old(X))<=>(~kind(X)&strong(X))))&
(![X]:(funny(X)=>... | ~calm(paul) | [] | null | 0 |
Everyone who is both not rich and not wise is both not generous and not kind and vice versa.
Everyone who is both not wise and patient is either patient or not tall and vice versa.
If someone is tall or generous then someone is not humble.
If someone is strong then someone is both curious and tall.
Everyone who is wise... | Paul is rich. | entailment | (![X]:((~rich(X)&~wise(X))<=>(~generous(X)&~kind(X))))&
(![X]:((~wise(X)&patient(X))<=>(patient(X)<~>~tall(X))))&
((?[X]:((tall(X)|generous(X))))=>(?[X]:(~humble(X))))&
((?[X]:(strong(X)))=>(?[X]:((curious(X)&tall(X)))))&
(![X]:((wise(X)|~strong(X))<=>(~generous(X)|~tall(X))))&
(![X]:((~calm(X)|~happy(X))<=>~tall(X)))&... | rich(paul) | [
"p1",
"p5",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7113005877496442263697324
% SZS output start Proof for 7113005877496442263697324
2. ! [X0] : ((patient(X0) & ~wise(X0)) <=> (patient(X0) <~> ~tall(X0))) [input p1]
6. ! [X0] : ((~happy(X0) | ~calm(X0)) <=> ~tall(X0)) [input p5]
12. ! [X0] : (~tall(X0) <=> (rich(X0) <~> ~wise(X0))) [input ... | 0 |
Everyone who is humble is not funny or generous and vice versa. Everyone who is tall is both not kind and wise and vice versa. Everyone who is either not strong or kind is both old and not humble. Everyone who is either humble or generous is happy and vice versa. If someone is funny or kind then fred is either not gene... | Fred is not wise. | neutral | (![X]:(humble(X)<=>(~funny(X)|generous(X))))&
(![X]:(tall(X)<=>(~kind(X)&wise(X))))&
(![X]:((~strong(X)<~>kind(X))=>(old(X)&~humble(X))))&
(![X]:((humble(X)<~>generous(X))<=>happy(X)))&
((?[X]:((funny(X)|kind(X))))<=>((~generous(fred)<~>~humble(fred))))&
(((strong(fred)|~generous(fred)))=>((happy(lucy)|~quiet(lucy))))&... | ~wise(fred) | [] | null | 0 |
Everyone who is either not creative or funny is not creative or tall and vice versa. Everyone who is not quiet is either curious or not generous. If someone is not brave or not strong then someone is both strong and quiet and vice versa. Everyone who is not old is either humble or not rich and vice versa. Everyone who ... | Lucy is old. | neutral | (![X]:((~creative(X)<~>funny(X))<=>(~creative(X)|tall(X))))&
(![X]:(~quiet(X)=>(curious(X)<~>~generous(X))))&
((?[X]:((~brave(X)|~strong(X))))<=>(?[X]:((strong(X)&quiet(X)))))&
(![X]:(~old(X)<=>(humble(X)<~>~rich(X))))&
(![X]:((tall(X)|~tall(X))<=>(~funny(X)&~wise(X))))&
(![X]:((happy(X)<~>creative(X))=>(happy(X)&creat... | old(lucy) | [] | null | 0 |
Everyone who is not curious or not happy is both wise and funny and vice versa.
Everyone who is both old and not rich is either humble or calm.
Everyone who is either not old or not rich is either calm or not humble and vice versa.
Everyone who is not rich or not strong is both old and happy.
Everyone who is old or hap... | Paul is not happy. | contradiction | (![X]:((~curious(X)|~happy(X))<=>(wise(X)&funny(X))))&
(![X]:((old(X)&~rich(X))=>(humble(X)<~>calm(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(calm(X)<~>~humble(X))))&
(![X]:((~rich(X)|~strong(X))=>(old(X)&happy(X))))&
(![X]:((old(X)|happy(X))<=>~kind(X)))&
((?[X]:(~happy(X)))=>((quiet(susan)|~strong(susan))))&
(((happy(mary... | ~happy(paul) | [
"p3",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5846391343243952365501722
% SZS output start Proof for 5846391343243952365501722
4. ! [X0] : ((~strong(X0) | ~rich(X0)) => (happy(X0) & old(X0))) [input p3]
7. (~curious(mary) & happy(mary)) <=> (strong(paul) | patient(paul)) [input p6]
10. ? [X0] : ~curious(X0) <=> (~strong(paul) & stron... | 0 |
Everyone who is either not happy or kind is either not calm or not generous. If paul is not patient or not old then mary is not tall or not happy and vice versa. Everyone who is both not happy and generous is not wise and vice versa. Everyone who is funny is calm or humble and vice versa. If lucy is both not tall and g... | Paul is not happy. | neutral | (![X]:((~happy(X)<~>kind(X))=>(~calm(X)<~>~generous(X))))&
(((~patient(paul)|~old(paul)))<=>((~tall(mary)|~happy(mary))))&
(![X]:((~happy(X)&generous(X))<=>~wise(X)))&
(![X]:(funny(X)<=>(calm(X)|humble(X))))&
(((~tall(lucy)&generous(lucy)))<=>(?[X]:(~wise(X))))&
(![X]:((~quiet(X)&~brave(X))=>(creative(X)<~>curious(X)))... | ~happy(paul) | [] | null | 0 |
If alice is either not wise or rich then someone is not strong and vice versa.
Everyone who is either wise or not quiet is either not quiet or not funny and vice versa.
Everyone who is either creative or old is both funny and not curious.
Everyone who is old or brave is either calm or not patient and vice versa.
If som... | Mary is not brave. | contradiction | (((~wise(alice)<~>rich(alice)))<=>(?[X]:(~strong(X))))&
(![X]:((wise(X)<~>~quiet(X))<=>(~quiet(X)<~>~funny(X))))&
(![X]:((creative(X)<~>old(X))=>(funny(X)&~curious(X))))&
(![X]:((old(X)|brave(X))<=>(calm(X)<~>~patient(X))))&
((?[X]:((~old(X)&wise(X))))<=>(?[X]:((~funny(X)|strong(X)))))&
(![X]:(tall(X)=>(generous(X)<~>o... | ~brave(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7664908115621055803324606
% SZS output start Proof for 7664908115621055803324606
9. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> brave(X0)) [input p8]
25. ~brave(mary) [input hypothesis]
56. ! [X0] : ((((~calm(X0) | calm(X0)) & (calm(X0) | ~calm(X0))) | ~brave(X0)) & (brave(X0) | ((~calm(X0) | ... | 0 |
If lucy is both tall and patient then alice is either kind or calm. If susan is either not wise or not strong then someone is both curious and calm and vice versa. Everyone who is not strong is both old and calm and vice versa. Everyone who is both not strong and humble is funny and vice versa. If someone is old or not... | Paul is not old. | entailment | (((tall(lucy)&patient(lucy)))=>((kind(alice)<~>calm(alice))))&
(((~wise(susan)<~>~strong(susan)))<=>(?[X]:((curious(X)&calm(X)))))&
(![X]:(~strong(X)<=>(old(X)&calm(X))))&
(![X]:((~strong(X)&humble(X))<=>funny(X)))&
((?[X]:((old(X)|~calm(X))))=>((~strong(mary)&patient(mary))))&
(![X]:((creative(X)|~old(X))<=>(kind(X)<~... | ~old(paul) | [
"p2",
"p4",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3357044091582822111521978
% SZS output start Proof for 3357044091582822111521978
3. ! [X0] : (~strong(X0) <=> (calm(X0) & old(X0))) [input p2]
5. ? [X0] : (~calm(X0) | old(X0)) => (patient(mary) & ~strong(mary)) [input p4]
6. ! [X0] : ((~old(X0) | creative(X0)) <=> (kind(X0) <~> ~creative... | 0 |
If someone is both funny and not curious then susan is not strong and vice versa. If susan is either not happy or not creative then mary is humble. Everyone who is both rich and funny is tall. Everyone who is both not calm and humble is humble and vice versa. Everyone who is either not quiet or calm is both generous an... | Alice is not wise. | entailment | ((?[X]:((funny(X)&~curious(X))))<=>(~strong(susan)))&
(((~happy(susan)<~>~creative(susan)))=>(humble(mary)))&
(![X]:((rich(X)&funny(X))=>tall(X)))&
(![X]:((~calm(X)&humble(X))<=>humble(X)))&
(![X]:((~quiet(X)<~>calm(X))=>(generous(X)&tall(X))))&
((?[X]:((~creative(X)|~generous(X))))<=>((old(susan)<~>~kind(susan))))&
(!... | ~wise(alice) | [
"p3",
"p4",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5900499987380789541135104
% SZS output start Proof for 5900499987380789541135104
4. ! [X0] : ((humble(X0) & ~calm(X0)) <=> humble(X0)) [input p3]
5. ! [X0] : ((~quiet(X0) <~> calm(X0)) => (tall(X0) & generous(X0))) [input p4]
14. ! [X0] : (generous(X0) <=> (~calm(X0) <~> ~humble(X0))) [in... | 0 |
If someone is not kind or not creative then lucy is not generous and vice versa.
Everyone who is not brave or not quiet is funny.
Everyone who is both not tall and generous is not generous or not curious and vice versa.
If susan is not tall then lucy is both kind and not strong.
If alice is humble or not rich then alic... | Paul is creative. | entailment | ((?[X]:((~kind(X)|~creative(X))))<=>(~generous(lucy)))&
(![X]:((~brave(X)|~quiet(X))=>funny(X)))&
(![X]:((~tall(X)&generous(X))<=>(~generous(X)|~curious(X))))&
((~tall(susan))=>((kind(lucy)&~strong(lucy))))&
(((humble(alice)|~rich(alice)))=>((rich(alice)<~>~quiet(alice))))&
((?[X]:((~creative(X)&~brave(X))))<=>((~rich(... | creative(paul) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7050041198059972693523443
% SZS output start Proof for 7050041198059972693523443
1. ? [X0] : (~creative(X0) | ~kind(X0)) <=> ~generous(lucy) [input p0]
3. ! [X0] : ((generous(X0) & ~tall(X0)) <=> (~curious(X0) | ~generous(X0))) [input p2]
22. ~creative(paul) [input hypothesis]
31. (? [X0]... | 0 |
Everyone who is not calm or patient is not brave or wise and vice versa. If someone is not strong then lucy is both not old and not funny and vice versa. Everyone who is both not humble and kind is not rich and vice versa. Everyone who is both old and not old is either not happy or not tall and vice versa. Everyone who... | Lucy is curious. | entailment | (![X]:((~calm(X)|patient(X))<=>(~brave(X)|wise(X))))&
((?[X]:(~strong(X)))<=>((~old(lucy)&~funny(lucy))))&
(![X]:((~humble(X)&kind(X))<=>~rich(X)))&
(![X]:((old(X)&~old(X))<=>(~happy(X)<~>~tall(X))))&
(![X]:((~curious(X)|generous(X))<=>(wise(X)&kind(X))))&
((?[X]:((quiet(X)&~curious(X))))=>((humble(fred)&quiet(fred))))... | curious(lucy) | [
"p1",
"p3",
"p4",
"p6",
"p7",
"p12",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3150230700940798953872561
% SZS output start Proof for 3150230700940798953872561
2. ? [X0] : ~strong(X0) <=> (~funny(lucy) & ~old(lucy)) [input p1]
4. ! [X0] : ((~old(X0) & old(X0)) <=> (~happy(X0) <~> ~tall(X0))) [input p3]
5. ! [X0] : ((generous(X0) | ~curious(X0)) <=> (kind(X0) & wise(... | 0 |
If someone is old or curious then fred is both not old and not curious and vice versa.
Everyone who is both not strong and not wise is either rich or patient.
Everyone who is either not brave or not rich is not happy or brave.
Everyone who is patient is both not happy and funny.
If mary is either funny or calm then som... | Susan is not creative. | neutral | ((?[X]:((old(X)|curious(X))))<=>((~old(fred)&~curious(fred))))&
(![X]:((~strong(X)&~wise(X))=>(rich(X)<~>patient(X))))&
(![X]:((~brave(X)<~>~rich(X))=>(~happy(X)|brave(X))))&
(![X]:(patient(X)=>(~happy(X)&funny(X))))&
(((funny(mary)<~>calm(mary)))=>(?[X]:((~kind(X)|quiet(X)))))&
((?[X]:((creative(X)<~>funny(X))))=>(?[X... | ~creative(susan) | [] | null | 0 |
Everyone who is strong is creative or not brave.
Everyone who is both rich and not curious is strong.
Everyone who is either quiet or patient is both not generous and not curious and vice versa.
Everyone who is not curious or not strong is funny.
Everyone who is wise or brave is both not wise and not humble and vice ve... | Alice is not wise. | entailment | (![X]:(strong(X)=>(creative(X)|~brave(X))))&
(![X]:((rich(X)&~curious(X))=>strong(X)))&
(![X]:((quiet(X)<~>patient(X))<=>(~generous(X)&~curious(X))))&
(![X]:((~curious(X)|~strong(X))=>funny(X)))&
(![X]:((wise(X)|brave(X))<=>(~wise(X)&~humble(X))))&
(![X]:(~generous(X)<=>(~strong(X)|quiet(X))))&
(![X]:((~tall(X)|humble(... | ~wise(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 352603780634708932177494
% SZS output start Proof for 352603780634708932177494
5. ! [X0] : ((brave(X0) | wise(X0)) <=> (~humble(X0) & ~wise(X0))) [input p4]
24. wise(alice) [input hypothesis]
39. ! [X0] : (((brave(X0) | wise(X0)) | (humble(X0) | wise(X0))) & ((~humble(X0) & ~wise(X0)) | (... | 0 |
If lucy is not humble then someone is calm or not patient.
Everyone who is either not funny or not happy is either not brave or not funny and vice versa.
Everyone who is old is not kind and vice versa.
Everyone who is quiet or funny is creative or brave and vice versa.
Everyone who is either kind or not happy is both n... | Mary is not rich. | neutral | ((~humble(lucy))=>(?[X]:((calm(X)|~patient(X)))))&
(![X]:((~funny(X)<~>~happy(X))<=>(~brave(X)<~>~funny(X))))&
(![X]:(old(X)<=>~kind(X)))&
(![X]:((quiet(X)|funny(X))<=>(creative(X)|brave(X))))&
(![X]:((kind(X)<~>~happy(X))<=>(~tall(X)&~funny(X))))&
(![X]:(creative(X)<=>(~wise(X)<~>~strong(X))))&
(![X]:((funny(X)&~old(X... | ~rich(mary) | [] | null | 0 |
If someone is wise or strong then paul is either curious or not tall and vice versa.
If someone is patient then someone is both tall and funny and vice versa.
Everyone who is curious is both not patient and not funny and vice versa.
Everyone who is either tall or calm is not calm or not brave and vice versa.
If lucy is... | Paul is not wise. | contradiction | ((?[X]:((wise(X)|strong(X))))<=>((curious(paul)<~>~tall(paul))))&
((?[X]:(patient(X)))<=>(?[X]:((tall(X)&funny(X)))))&
(![X]:(curious(X)<=>(~patient(X)&~funny(X))))&
(![X]:((tall(X)<~>calm(X))<=>(~calm(X)|~brave(X))))&
(((~generous(lucy)|~happy(lucy)))=>(?[X]:((patient(X)<~>~old(X)))))&
(![X]:((humble(X)&brave(X))<=>(g... | ~wise(paul) | [
"p3",
"p6",
"p8",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5017168843591644579603719
% SZS output start Proof for 5017168843591644579603719
4. ! [X0] : ((tall(X0) <~> calm(X0)) <=> (~brave(X0) | ~calm(X0))) [input p3]
7. ! [X0] : ((curious(X0) | ~generous(X0)) <=> funny(X0)) [input p6]
9. ! [X0] : (~wise(X0) => (strong(X0) & creative(X0))) [input... | 0 |
If mary is either not creative or funny then alice is both wise and tall and vice versa.
If paul is not tall or generous then someone is not tall.
Everyone who is old or not curious is tall.
Everyone who is both not old and rich is both tall and calm and vice versa.
If fred is both quiet and wise then someone is not hu... | Fred is not quiet. | entailment | (((~creative(mary)<~>funny(mary)))<=>((wise(alice)&tall(alice))))&
(((~tall(paul)|generous(paul)))=>(?[X]:(~tall(X))))&
(![X]:((old(X)|~curious(X))=>tall(X)))&
(![X]:((~old(X)&rich(X))<=>(tall(X)&calm(X))))&
(((quiet(fred)&wise(fred)))=>(?[X]:(~humble(X))))&
(((brave(john)|happy(john)))<=>(?[X]:((kind(X)&wise(X)))))&
(... | ~quiet(fred) | [
"p2",
"p3",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3645813920563817208203397
% SZS output start Proof for 3645813920563817208203397
3. ! [X0] : ((~curious(X0) | old(X0)) => tall(X0)) [input p2]
4. ! [X0] : ((rich(X0) & ~old(X0)) <=> (calm(X0) & tall(X0))) [input p3]
16. ! [X0] : ((rich(X0) & ~tall(X0)) <=> (quiet(X0) <~> ~creative(X0))) [... | 0 |
If someone is not tall then john is either old or funny and vice versa.
If fred is not humble or creative then someone is both patient and quiet and vice versa.
Everyone who is not patient or not generous is happy or humble.
If someone is brave or humble then mary is not generous.
Everyone who is funny is not quiet and... | Fred is tall. | entailment | ((?[X]:(~tall(X)))<=>((old(john)<~>funny(john))))&
(((~humble(fred)|creative(fred)))<=>(?[X]:((patient(X)&quiet(X)))))&
(![X]:((~patient(X)|~generous(X))=>(happy(X)|humble(X))))&
((?[X]:((brave(X)|humble(X))))=>(~generous(mary)))&
(![X]:(funny(X)<=>~quiet(X)))&
((generous(lucy))<=>(?[X]:((~old(X)<~>tall(X)))))&
(((kind... | tall(fred) | [
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6251578556944167933108649
% SZS output start Proof for 6251578556944167933108649
10. ! [X0] : ((~curious(X0) | ~quiet(X0)) => (tall(X0) & ~strong(X0))) [input p9]
20. ~kind(fred) & ~quiet(fred) [input p19]
25. ~tall(fred) [input hypothesis]
32. ! [X0] : ((tall(X0) & ~strong(X0)) | (curiou... | 0 |
Everyone who is both generous and not patient is either not tall or not happy.
If fred is either not old or not calm then someone is not quiet or not rich and vice versa.
Everyone who is not creative or not wise is curious or generous and vice versa.
If someone is both patient and brave then alice is calm and vice vers... | Alice is not tall. | neutral | (![X]:((generous(X)&~patient(X))=>(~tall(X)<~>~happy(X))))&
(((~old(fred)<~>~calm(fred)))<=>(?[X]:((~quiet(X)|~rich(X)))))&
(![X]:((~creative(X)|~wise(X))<=>(curious(X)|generous(X))))&
((?[X]:((patient(X)&brave(X))))<=>(calm(alice)))&
(![X]:(kind(X)<=>~creative(X)))&
(![X]:((strong(X)<~>humble(X))<=>~calm(X)))&
(![X]:(... | ~tall(alice) | [] | null | 0 |
If someone is funny or not happy then someone is either not generous or creative and vice versa. If susan is strong then someone is happy or humble. If paul is not creative then mary is not wise or not curious. Everyone who is both patient and funny is both not creative and tall and vice versa. Everyone who is not quie... | Susan is not old. | entailment | ((?[X]:((funny(X)|~happy(X))))<=>(?[X]:((~generous(X)<~>creative(X)))))&
((strong(susan))=>(?[X]:((happy(X)|humble(X)))))&
((~creative(paul))=>((~wise(mary)|~curious(mary))))&
(![X]:((patient(X)&funny(X))<=>(~creative(X)&tall(X))))&
(![X]:((~quiet(X)|funny(X))=>(~calm(X)<~>~humble(X))))&
((?[X]:(~old(X)))=>((~calm(fred... | ~old(susan) | [
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1528443688091208057598045
% SZS output start Proof for 1528443688091208057598045
5. ! [X0] : ((funny(X0) | ~quiet(X0)) => (~calm(X0) <~> ~humble(X0))) [input p4]
7. ! [X0] : ((~tall(X0) | tall(X0)) => (rich(X0) <~> ~quiet(X0))) [input p6]
8. ? [X0] : (~kind(X0) <~> humble(X0)) => (~genero... | 0 |
If someone is not kind or not creative then lucy is not generous and vice versa. Everyone who is not brave or not quiet is both creative and not kind. Everyone who is both not patient and not wise is not generous. If someone is either not patient or not curious then lucy is both not quiet and curious. If susan is not t... | Paul is tall. | entailment | ((?[X]:((~kind(X)|~creative(X))))<=>(~generous(lucy)))&
(![X]:((~brave(X)|~quiet(X))=>(creative(X)&~kind(X))))&
(![X]:((~patient(X)&~wise(X))=>~generous(X)))&
((?[X]:((~patient(X)<~>~curious(X))))=>((~quiet(lucy)&curious(lucy))))&
((~tall(susan))=>((kind(lucy)&~strong(lucy))))&
(((humble(alice)|~rich(alice)))=>((rich(a... | tall(paul) | [
"p3",
"p8",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 245712905525827526523103
% SZS output start Proof for 245712905525827526523103
4. ? [X0] : (~patient(X0) <~> ~curious(X0)) => (curious(lucy) & ~quiet(lucy)) [input p3]
9. ? [X0] : ~generous(X0) => (strong(paul) & tall(paul)) [input p8]
15. ! [X0] : ((~rich(X0) & ~curious(X0)) <=> (~genero... | 0 |
Everyone who is either brave or patient is calm and vice versa.
Everyone who is both old and kind is either not quiet or not calm and vice versa.
If someone is strong then john is curious and vice versa.
Everyone who is not tall or tall is old or not quiet.
Everyone who is generous or patient is both wise and quiet.
Ev... | Alice is tall. | neutral | (![X]:((brave(X)<~>patient(X))<=>calm(X)))&
(![X]:((old(X)&kind(X))<=>(~quiet(X)<~>~calm(X))))&
((?[X]:(strong(X)))<=>(curious(john)))&
(![X]:((~tall(X)|tall(X))=>(old(X)|~quiet(X))))&
(![X]:((generous(X)|patient(X))=>(wise(X)&quiet(X))))&
(![X]:((strong(X)<~>~brave(X))=>(brave(X)<~>~patient(X))))&
(((~strong(fred)&old... | tall(alice) | [] | null | 0 |
Everyone who is both not quiet and not creative is tall or not strong and vice versa.
If fred is creative then susan is not generous.
If lucy is both rich and curious then john is strong and vice versa.
Everyone who is either creative or not patient is old or not brave.
Everyone who is calm or not humble is either crea... | John is old. | contradiction | (![X]:((~quiet(X)&~creative(X))<=>(tall(X)|~strong(X))))&
((creative(fred))=>(~generous(susan)))&
(((rich(lucy)&curious(lucy)))<=>(strong(john)))&
(![X]:((creative(X)<~>~patient(X))=>(old(X)|~brave(X))))&
(![X]:((calm(X)|~humble(X))=>(creative(X)<~>~happy(X))))&
(![X]:((~rich(X)&curious(X))=>(~patient(X)&~quiet(X))))&
... | old(john) | [
"p6",
"p7",
"p10",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 582602532932369237530782
% SZS output start Proof for 582602532932369237530782
7. ! [X0] : ((old(X0) | ~quiet(X0)) => humble(X0)) [input p6]
8. ! [X0] : ((brave(X0) & rich(X0)) <=> (strong(X0) <~> ~strong(X0))) [input p7]
11. ! [X0] : (calm(X0) <=> generous(X0)) [input p10]
13. ? [X0] : (... | 0 |
If someone is either not generous or generous then mary is brave or not brave and vice versa.
Everyone who is either not brave or not creative is either wise or rich and vice versa.
Everyone who is not wise is happy or not creative and vice versa.
Everyone who is brave is not calm or rich and vice versa.
Everyone who i... | Fred is kind. | contradiction | ((?[X]:((~generous(X)<~>generous(X))))<=>((brave(mary)|~brave(mary))))&
(![X]:((~brave(X)<~>~creative(X))<=>(wise(X)<~>rich(X))))&
(![X]:(~wise(X)<=>(happy(X)|~creative(X))))&
(![X]:(brave(X)<=>(~calm(X)|rich(X))))&
(![X]:((~creative(X)|~brave(X))<=>(wise(X)|funny(X))))&
((~quiet(fred))<=>(rich(paul)))&
(![X]:((patient... | kind(fred) | [
"p1",
"p2",
"p3",
"p4",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3230943676458488549523205
% SZS output start Proof for 3230943676458488549523205
2. ! [X0] : ((~brave(X0) <~> ~creative(X0)) <=> (wise(X0) <~> rich(X0))) [input p1]
3. ! [X0] : (~wise(X0) <=> (~creative(X0) | happy(X0))) [input p2]
4. ! [X0] : (brave(X0) <=> (rich(X0) | ~calm(X0))) [input... | 0 |
Everyone who is brave or not wise is either creative or not old and vice versa. Everyone who is either not wise or not funny is both kind and creative. Everyone who is either funny or not wise is strong or humble and vice versa. Everyone who is quiet or funny is both humble and brave and vice versa. Everyone who is not... | Alice is strong. | contradiction | (![X]:((brave(X)|~wise(X))<=>(creative(X)<~>~old(X))))&
(![X]:((~wise(X)<~>~funny(X))=>(kind(X)&creative(X))))&
(![X]:((funny(X)<~>~wise(X))<=>(strong(X)|humble(X))))&
(![X]:((quiet(X)|funny(X))<=>(humble(X)&brave(X))))&
(![X]:(~patient(X)<=>(rich(X)|~tall(X))))&
((?[X]:((funny(X)&generous(X))))=>((strong(lucy)&~brave(... | strong(alice) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4490211070861070219146448
% SZS output start Proof for 4490211070861070219146448
1. ! [X0] : ((~wise(X0) | brave(X0)) <=> (creative(X0) <~> ~old(X0))) [input p0]
3. ! [X0] : ((funny(X0) <~> ~wise(X0)) <=> (humble(X0) | strong(X0))) [input p2]
4. ! [X0] : ((funny(X0) | quiet(X0)) <=> (brav... | 0 |
Everyone who is either wise or kind is both not brave and tall and vice versa.
If susan is either not kind or not rich then fred is not tall or not curious.
Everyone who is both rich and not rich is either patient or not rich.
If someone is both not rich and kind then someone is generous and vice versa.
Everyone who is... | Paul is humble. | neutral | (![X]:((wise(X)<~>kind(X))<=>(~brave(X)&tall(X))))&
(((~kind(susan)<~>~rich(susan)))=>((~tall(fred)|~curious(fred))))&
(![X]:((rich(X)&~rich(X))=>(patient(X)<~>~rich(X))))&
((?[X]:((~rich(X)&kind(X))))<=>(?[X]:(generous(X))))&
(![X]:((humble(X)|~rich(X))<=>(creative(X)|~rich(X))))&
(![X]:(patient(X)<=>(~calm(X)|~genero... | humble(paul) | [] | null | 0 |
If john is both not generous and generous then fred is creative and vice versa.
Everyone who is both calm and not calm is not humble and vice versa.
If susan is both calm and tall then someone is curious.
Everyone who is creative or humble is either humble or not wise and vice versa.
If fred is both kind and old then s... | Fred is wise. | entailment | (((~generous(john)&generous(john)))<=>(creative(fred)))&
(![X]:((calm(X)&~calm(X))<=>~humble(X)))&
(((calm(susan)&tall(susan)))=>(?[X]:(curious(X))))&
(![X]:((creative(X)|humble(X))<=>(humble(X)<~>~wise(X))))&
(((kind(fred)&old(fred)))=>(?[X]:((~strong(X)&~humble(X)))))&
(((quiet(fred)&funny(fred)))=>(?[X]:((curious(X)... | wise(fred) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7532463946646813151355554
% SZS output start Proof for 7532463946646813151355554
2. ! [X0] : ((~calm(X0) & calm(X0)) <=> ~humble(X0)) [input p1]
4. ! [X0] : ((humble(X0) | creative(X0)) <=> (humble(X0) <~> ~wise(X0))) [input p3]
24. ~wise(fred) [input hypothesis]
46. ! [X0] : (((~calm(X0)... | 0 |
Everyone who is curious or not generous is either not funny or not patient and vice versa.
Everyone who is not tall is funny or not tall and vice versa.
If someone is kind or not rich then fred is not funny or brave.
If alice is curious or not tall then mary is not old and vice versa.
If someone is not old or generous ... | Fred is calm. | neutral | (![X]:((curious(X)|~generous(X))<=>(~funny(X)<~>~patient(X))))&
(![X]:(~tall(X)<=>(funny(X)|~tall(X))))&
((?[X]:((kind(X)|~rich(X))))=>((~funny(fred)|brave(fred))))&
(((curious(alice)|~tall(alice)))<=>(~old(mary)))&
((?[X]:((~old(X)|generous(X))))=>(?[X]:((~rich(X)<~>strong(X)))))&
((~funny(alice))=>(?[X]:((quiet(X)|~f... | calm(fred) | [] | null | 0 |
Everyone who is both happy and humble is not brave or not funny.
If alice is not happy then alice is not rich and vice versa.
Everyone who is calm or creative is not wise or curious and vice versa.
Everyone who is not rich is either not rich or not curious.
Everyone who is either not curious or not tall is both not hap... | Paul is creative. | contradiction | (![X]:((happy(X)&humble(X))=>(~brave(X)|~funny(X))))&
((~happy(alice))<=>(~rich(alice)))&
(![X]:((calm(X)|creative(X))<=>(~wise(X)|curious(X))))&
(![X]:(~rich(X)=>(~rich(X)<~>~curious(X))))&
(![X]:((~curious(X)<~>~tall(X))<=>(~happy(X)&~rich(X))))&
(((~funny(fred)<~>funny(fred)))=>((tall(john)<~>~happy(john))))&
((gene... | creative(paul) | [
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2955966835901941323900099
% SZS output start Proof for 2955966835901941323900099
13. ! [X0] : (~creative(X0) <=> (~curious(X0) | humble(X0))) [input p12]
21. humble(paul) [input p20]
24. creative(paul) [input hypothesis]
55. ! [X0] : ((~creative(X0) | (curious(X0) & ~humble(X0))) & ((~cur... | 0 |
Everyone who is not happy is either rich or not curious and vice versa.
Everyone who is either brave or funny is not kind.
Everyone who is not funny or generous is both not happy and happy and vice versa.
Everyone who is quiet or wise is rich or not curious and vice versa.
Everyone who is quiet is either quiet or happy... | Alice is calm. | contradiction | (![X]:(~happy(X)<=>(rich(X)<~>~curious(X))))&
(![X]:((brave(X)<~>funny(X))=>~kind(X)))&
(![X]:((~funny(X)|generous(X))<=>(~happy(X)&happy(X))))&
(![X]:((quiet(X)|wise(X))<=>(rich(X)|~curious(X))))&
(![X]:(quiet(X)<=>(quiet(X)<~>happy(X))))&
(![X]:((~wise(X)<~>~strong(X))=>(rich(X)<~>~patient(X))))&
(![X]:(generous(X)<=... | calm(alice) | [
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4123660830670182004827305
% SZS output start Proof for 4123660830670182004827305
13. ! [X0] : ((rich(X0) | ~tall(X0)) <=> (~calm(X0) & ~tall(X0))) [input p12]
16. ~kind(alice) & ~tall(alice) [input p15]
22. calm(alice) [input hypothesis]
49. ! [X0] : (((rich(X0) | ~tall(X0)) | (calm(X0) |... | 0 |
If fred is strong then alice is either not brave or strong.
If someone is either not humble or curious then lucy is funny.
If someone is not humble or not funny then someone is not wise or not brave.
If someone is either not curious or not rich then someone is not old and vice versa.
If someone is old then someone is g... | Alice is not wise. | contradiction | ((strong(fred))=>((~brave(alice)<~>strong(alice))))&
((?[X]:((~humble(X)<~>curious(X))))=>(funny(lucy)))&
((?[X]:((~humble(X)|~funny(X))))=>(?[X]:((~wise(X)|~brave(X)))))&
((?[X]:((~curious(X)<~>~rich(X))))<=>(?[X]:(~old(X))))&
((?[X]:(old(X)))<=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:((kind(X)|~rich(X))<=>~humble(... | ~wise(alice) | [
"p5",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3074192017513507164983148
% SZS output start Proof for 3074192017513507164983148
6. ! [X0] : ((~rich(X0) | kind(X0)) <=> ~humble(X0)) [input p5]
12. (~generous(mary) & humble(mary)) <=> ~wise(alice) [input p11]
19. generous(mary) <~> ~rich(mary) [input p18]
24. ~wise(alice) [input hypothe... | 0 |
Everyone who is both curious and not old is happy. Everyone who is not tall is not patient. If lucy is not strong then mary is funny and vice versa. Everyone who is kind or not quiet is not brave or happy and vice versa. Everyone who is either not curious or happy is either humble or not happy. If someone is tall or cu... | Mary is wise. | entailment | (![X]:((curious(X)&~old(X))=>happy(X)))&
(![X]:(~tall(X)=>~patient(X)))&
((~strong(lucy))<=>(funny(mary)))&
(![X]:((kind(X)|~quiet(X))<=>(~brave(X)|happy(X))))&
(![X]:((~curious(X)<~>happy(X))=>(humble(X)<~>~happy(X))))&
((?[X]:((tall(X)|curious(X))))=>((~quiet(alice)<~>calm(alice))))&
(![X]:((patient(X)&~happy(X))<=>(... | wise(mary) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5288609355066708463861513
% SZS output start Proof for 5288609355066708463861513
1. ! [X0] : ((~old(X0) & curious(X0)) => happy(X0)) [input p0]
5. ! [X0] : ((~curious(X0) <~> happy(X0)) => (humble(X0) <~> ~happy(X0))) [input p4]
7. ! [X0] : ((~happy(X0) & patient(X0)) <=> (kind(X0) <~> hu... | 0 |
Everyone who is happy or not generous is old and vice versa. If someone is both wise and not calm then susan is calm and vice versa. Everyone who is both not generous and humble is either not calm or not rich. If john is both funny and not calm then lucy is not strong. If someone is both brave and not patient then some... | Susan is generous. | contradiction | (![X]:((happy(X)|~generous(X))<=>old(X)))&
((?[X]:((wise(X)&~calm(X))))<=>(calm(susan)))&
(![X]:((~generous(X)&humble(X))=>(~calm(X)<~>~rich(X))))&
(((funny(john)&~calm(john)))=>(~strong(lucy)))&
((?[X]:((brave(X)&~patient(X))))=>(?[X]:((tall(X)&~patient(X)))))&
(![X]:((~creative(X)&quiet(X))=>(~tall(X)<~>~happy(X))))&... | generous(susan) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2170714871354880395943755
% SZS output start Proof for 2170714871354880395943755
1. ! [X0] : ((~generous(X0) | happy(X0)) <=> old(X0)) [input p0]
11. ! [X0] : ((old(X0) | ~old(X0)) => (~funny(X0) & ~generous(X0))) [input p10]
21. generous(susan) [input hypothesis]
36. ! [X0] : ((~funny(X0... | 0 |
Everyone who is both calm and not patient is not tall.
Everyone who is old is humble or not humble and vice versa.
If mary is both not creative and not patient then alice is both not generous and happy and vice versa.
If someone is not happy then mary is both not humble and not rich.
If someone is not happy or not pati... | Susan is not happy. | neutral | (![X]:((calm(X)&~patient(X))=>~tall(X)))&
(![X]:(old(X)<=>(humble(X)|~humble(X))))&
(((~creative(mary)&~patient(mary)))<=>((~generous(alice)&happy(alice))))&
((?[X]:(~happy(X)))=>((~humble(mary)&~rich(mary))))&
((?[X]:((~happy(X)|~patient(X))))<=>(?[X]:((~rich(X)|tall(X)))))&
(![X]:((~tall(X)<~>~rich(X))=>(quiet(X)<~>g... | ~happy(susan) | [] | null | 0 |
Everyone who is strong or not quiet is both brave and not generous and vice versa.
Everyone who is not happy is not funny.
If john is kind or creative then someone is both patient and creative and vice versa.
Everyone who is either generous or quiet is either brave or old and vice versa.
If someone is both kind and not... | Mary is patient. | entailment | (![X]:((strong(X)|~quiet(X))<=>(brave(X)&~generous(X))))&
(![X]:(~happy(X)=>~funny(X)))&
(((kind(john)|creative(john)))<=>(?[X]:((patient(X)&creative(X)))))&
(![X]:((generous(X)<~>quiet(X))<=>(brave(X)<~>old(X))))&
((?[X]:((kind(X)&~quiet(X))))=>((rich(lucy)|~strong(lucy))))&
(![X]:(~old(X)=>(~kind(X)<~>generous(X))))&... | patient(mary) | [
"p0",
"p3",
"p5",
"p6",
"p7",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4307035003906942723328771
% SZS output start Proof for 4307035003906942723328771
1. ! [X0] : ((~quiet(X0) | strong(X0)) <=> (~generous(X0) & brave(X0))) [input p0]
4. ! [X0] : ((generous(X0) <~> quiet(X0)) <=> (brave(X0) <~> old(X0))) [input p3]
6. ! [X0] : (~old(X0) => (~kind(X0) <~> gen... | 0 |
If someone is old or not brave then susan is both not funny and wise and vice versa. If someone is calm or rich then alice is either rich or not patient. If someone is quiet or tall then paul is not curious. If someone is strong then mary is both not old and not kind and vice versa. Everyone who is rich or old is both ... | Lucy is old. | contradiction | ((?[X]:((old(X)|~brave(X))))<=>((~funny(susan)&wise(susan))))&
((?[X]:((calm(X)|rich(X))))=>((rich(alice)<~>~patient(alice))))&
((?[X]:((quiet(X)|tall(X))))=>(~curious(paul)))&
((?[X]:(strong(X)))<=>((~old(mary)&~kind(mary))))&
(![X]:((rich(X)|old(X))<=>(curious(X)&tall(X))))&
((~patient(paul))<=>(?[X]:((humble(X)|~pat... | old(lucy) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4908639799963489425637580
% SZS output start Proof for 4908639799963489425637580
5. ! [X0] : ((old(X0) | rich(X0)) <=> (tall(X0) & curious(X0))) [input p4]
12. ! [X0] : ((funny(X0) | old(X0)) => ~tall(X0)) [input p11]
25. old(lucy) [input hypothesis]
35. ! [X0] : (~tall(X0) | (~funny(X0) ... | 0 |
Everyone who is either generous or not kind is kind.
If someone is calm or happy then fred is both funny and old and vice versa.
Everyone who is strong or rich is old or quiet.
If mary is both not tall and rich then john is either not calm or patient.
Everyone who is not brave or not happy is both patient and wise and ... | Mary is creative. | contradiction | (![X]:((generous(X)<~>~kind(X))=>kind(X)))&
((?[X]:((calm(X)|happy(X))))<=>((funny(fred)&old(fred))))&
(![X]:((strong(X)|rich(X))=>(old(X)|quiet(X))))&
(((~tall(mary)&rich(mary)))=>((~calm(john)<~>patient(john))))&
(![X]:((~brave(X)|~happy(X))<=>(patient(X)&wise(X))))&
(![X]:(~brave(X)=>funny(X)))&
(![X]:((~wise(X)|ric... | creative(mary) | [
"p4",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8463848055045906781526771
% SZS output start Proof for 8463848055045906781526771
5. ! [X0] : ((~happy(X0) | ~brave(X0)) <=> (wise(X0) & patient(X0))) [input p4]
15. ! [X0] : (~creative(X0) <=> (rich(X0) | happy(X0))) [input p14]
20. ~rich(mary) & ~wise(mary) [input p19]
25. creative(mary)... | 0 |
Everyone who is either humble or not curious is not creative or not rich and vice versa.
If fred is quiet then susan is patient or not creative.
Everyone who is either not old or not curious is not old or not quiet and vice versa.
Everyone who is not strong is either not patient or tall.
If someone is strong then mary ... | Mary is not brave. | neutral | (![X]:((humble(X)<~>~curious(X))<=>(~creative(X)|~rich(X))))&
((quiet(fred))=>((patient(susan)|~creative(susan))))&
(![X]:((~old(X)<~>~curious(X))<=>(~old(X)|~quiet(X))))&
(![X]:(~strong(X)=>(~patient(X)<~>tall(X))))&
((?[X]:(strong(X)))=>((wise(mary)&~calm(mary))))&
(![X]:(kind(X)=>(happy(X)<~>~strong(X))))&
(![X]:((c... | ~brave(mary) | [] | null | 0 |
If someone is either not strong or not old then paul is old or not tall.
If someone is funny then someone is either not tall or calm.
If alice is tall then someone is not calm or tall and vice versa.
Everyone who is either quiet or not rich is both not rich and brave and vice versa.
If mary is not kind or not funny the... | Susan is not funny. | entailment | ((?[X]:((~strong(X)<~>~old(X))))=>((old(paul)|~tall(paul))))&
((?[X]:(funny(X)))=>(?[X]:((~tall(X)<~>calm(X)))))&
((tall(alice))<=>(?[X]:((~calm(X)|tall(X)))))&
(![X]:((quiet(X)<~>~rich(X))<=>(~rich(X)&brave(X))))&
(((~kind(mary)|~funny(mary)))=>((old(susan)|strong(susan))))&
(((~patient(alice)<~>~humble(alice)))=>((~s... | ~funny(susan) | [
"p1",
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6479395265355656842266451
% SZS output start Proof for 6479395265355656842266451
2. ? [X0] : funny(X0) => ? [X0] : (~tall(X0) <~> calm(X0)) [input p1]
3. tall(alice) <=> ? [X0] : (tall(X0) | ~calm(X0)) [input p2]
12. ! [X0] : (~tall(X0) <=> (funny(X0) | ~funny(X0))) [input p11]
23. funny(... | 0 |
Everyone who is patient is generous and vice versa. If someone is rich then fred is either generous or not rich and vice versa. If someone is not funny then fred is both kind and patient and vice versa. Everyone who is happy or not funny is funny. Everyone who is both calm and quiet is strong. Everyone who is not humbl... | Lucy is patient. | neutral | (![X]:(patient(X)<=>generous(X)))&
((?[X]:(rich(X)))<=>((generous(fred)<~>~rich(fred))))&
((?[X]:(~funny(X)))<=>((kind(fred)&patient(fred))))&
(![X]:((happy(X)|~funny(X))=>funny(X)))&
(![X]:((calm(X)&quiet(X))=>strong(X)))&
(![X]:((~humble(X)|quiet(X))=>~patient(X)))&
(![X]:((tall(X)|strong(X))=>~quiet(X)))&
(![X]:((fu... | patient(lucy) | [] | null | 0 |
Everyone who is not tall is curious or old and vice versa.
Everyone who is not creative is either not humble or not calm and vice versa.
If someone is old then someone is generous.
If someone is either creative or not creative then lucy is either not wise or calm.
Everyone who is both generous and happy is either not k... | Susan is not happy. | contradiction | (![X]:(~tall(X)<=>(curious(X)|old(X))))&
(![X]:(~creative(X)<=>(~humble(X)<~>~calm(X))))&
((?[X]:(old(X)))=>(?[X]:(generous(X))))&
((?[X]:((creative(X)<~>~creative(X))))=>((~wise(lucy)<~>calm(lucy))))&
(![X]:((generous(X)&happy(X))<=>(~kind(X)<~>old(X))))&
(![X]:((generous(X)|~happy(X))<=>(~funny(X)<~>rich(X))))&
(![X]... | ~happy(susan) | [
"p0",
"p5",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 215991781271451215711648
% SZS output start Proof for 215991781271451215711648
1. ! [X0] : (~tall(X0) <=> (old(X0) | curious(X0))) [input p0]
6. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~funny(X0) <~> rich(X0))) [input p5]
13. ! [X0] : ((~funny(X0) & ~old(X0)) <=> ~old(X0)) [input p12]
... | 0 |
Everyone who is both not calm and creative is either not quiet or not tall and vice versa. If someone is not curious or not generous then john is not tall or not quiet and vice versa. Everyone who is either not kind or not funny is curious or wise and vice versa. If someone is not creative then someone is both kind and... | John is tall. | entailment | (![X]:((~calm(X)&creative(X))<=>(~quiet(X)<~>~tall(X))))&
((?[X]:((~curious(X)|~generous(X))))<=>((~tall(john)|~quiet(john))))&
(![X]:((~kind(X)<~>~funny(X))<=>(curious(X)|wise(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((kind(X)&wise(X)))))&
(((~kind(fred)&~rich(fred)))<=>(?[X]:(~curious(X))))&
(![X]:((rich(X)|~wise(X))<=>... | tall(john) | [
"p0",
"p4",
"p6",
"p7",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6408114623481558794212590
% SZS output start Proof for 6408114623481558794212590
1. ! [X0] : ((creative(X0) & ~calm(X0)) <=> (~quiet(X0) <~> ~tall(X0))) [input p0]
5. (~rich(fred) & ~kind(fred)) <=> ? [X0] : ~curious(X0) [input p4]
7. ! [X0] : ((old(X0) | ~creative(X0)) => (~kind(X0) & wi... | 0 |
Everyone who is tall or not tall is either not calm or not generous. Everyone who is either humble or old is rich or kind and vice versa. Everyone who is rich or not wise is generous. Everyone who is not strong is not tall or patient. Everyone who is both not creative and not generous is not calm and vice versa. If mar... | Mary is wise. | entailment | (![X]:((tall(X)|~tall(X))=>(~calm(X)<~>~generous(X))))&
(![X]:((humble(X)<~>old(X))<=>(rich(X)|kind(X))))&
(![X]:((rich(X)|~wise(X))=>generous(X)))&
(![X]:(~strong(X)=>(~tall(X)|patient(X))))&
(![X]:((~creative(X)&~generous(X))<=>~calm(X)))&
(((kind(mary)&happy(mary)))<=>((~kind(susan)<~>quiet(susan))))&
(![X]:((~tall(... | wise(mary) | [
"p0",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 657855826783452781988384
% SZS output start Proof for 657855826783452781988384
1. ! [X0] : ((~tall(X0) | tall(X0)) => (~calm(X0) <~> ~generous(X0))) [input p0]
3. ! [X0] : ((~wise(X0) | rich(X0)) => generous(X0)) [input p2]
5. ! [X0] : ((~generous(X0) & ~creative(X0)) <=> ~calm(X0)) [inpu... | 0 |
Everyone who is rich is both calm and not generous.
Everyone who is either not humble or not wise is generous.
If alice is either brave or rich then fred is not funny or not calm and vice versa.
If someone is both happy and not tall then mary is strong or not happy.
Everyone who is not tall or quiet is both creative an... | Susan is generous. | neutral | (![X]:(rich(X)=>(calm(X)&~generous(X))))&
(![X]:((~humble(X)<~>~wise(X))=>generous(X)))&
(((brave(alice)<~>rich(alice)))<=>((~funny(fred)|~calm(fred))))&
((?[X]:((happy(X)&~tall(X))))=>((strong(mary)|~happy(mary))))&
(![X]:((~tall(X)|quiet(X))<=>(creative(X)&calm(X))))&
((?[X]:((tall(X)&~funny(X))))=>((~brave(susan)|~c... | generous(susan) | [] | null | 0 |
If susan is not quiet then someone is strong and vice versa. If someone is either not patient or calm then someone is either calm or funny. Everyone who is not curious or not creative is both not happy and curious. Everyone who is not rich is both not quiet and not calm and vice versa. Everyone who is tall or curious i... | John is not humble. | neutral | ((~quiet(susan))<=>(?[X]:(strong(X))))&
((?[X]:((~patient(X)<~>calm(X))))=>(?[X]:((calm(X)<~>funny(X)))))&
(![X]:((~curious(X)|~creative(X))=>(~happy(X)&curious(X))))&
(![X]:(~rich(X)<=>(~quiet(X)&~calm(X))))&
(![X]:((tall(X)|curious(X))=>(calm(X)<~>~kind(X))))&
(![X]:((strong(X)|~calm(X))=>(curious(X)<~>strong(X))))&
... | ~humble(john) | [] | null | 0 |
Everyone who is either kind or not wise is curious or not old. Everyone who is not generous is patient or creative. If lucy is brave or generous then paul is both strong and patient and vice versa. If lucy is not humble or not funny then someone is either not creative or happy. Everyone who is both calm and not patient... | Susan is patient. | entailment | (![X]:((kind(X)<~>~wise(X))=>(curious(X)|~old(X))))&
(![X]:(~generous(X)=>(patient(X)|creative(X))))&
(((brave(lucy)|generous(lucy)))<=>((strong(paul)&patient(paul))))&
(((~humble(lucy)|~funny(lucy)))=>(?[X]:((~creative(X)<~>happy(X)))))&
(![X]:((calm(X)&~patient(X))<=>(happy(X)&generous(X))))&
(![X]:((~strong(X)<~>~ca... | patient(susan) | [
"p4",
"p7",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7421719103986415630008
% SZS output start Proof for 7421719103986415630008
5. ! [X0] : ((~patient(X0) & calm(X0)) <=> (generous(X0) & happy(X0))) [input p4]
8. (rich(susan) & ~happy(susan)) <=> ? [X0] : (old(X0) | kind(X0)) [input p7]
11. ! [X0] : (kind(X0) <=> (~tall(X0) & calm(X0))) [in... | 0 |
Everyone who is either not humble or quiet is curious.
Everyone who is both not happy and kind is not happy and vice versa.
Everyone who is curious or rich is either not patient or funny.
Everyone who is both generous and old is brave or not generous and vice versa.
Everyone who is not tall or not old is not funny and ... | Susan is brave. | contradiction | (![X]:((~humble(X)<~>quiet(X))=>curious(X)))&
(![X]:((~happy(X)&kind(X))<=>~happy(X)))&
(![X]:((curious(X)|rich(X))=>(~patient(X)<~>funny(X))))&
(![X]:((generous(X)&old(X))<=>(brave(X)|~generous(X))))&
(![X]:((~tall(X)|~old(X))<=>~funny(X)))&
((?[X]:((calm(X)<~>~funny(X))))<=>(?[X]:((~funny(X)&curious(X)))))&
((?[X]:((... | brave(susan) | [
"p3",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1661177091901921251862263
% SZS output start Proof for 1661177091901921251862263
4. ! [X0] : ((old(X0) & generous(X0)) <=> (~generous(X0) | brave(X0))) [input p3]
11. ! [X0] : ((strong(X0) <~> ~curious(X0)) <=> (curious(X0) & old(X0))) [input p10]
18. ~strong(susan) & happy(susan) [input ... | 0 |
If susan is both old and calm then alice is not brave and vice versa.
Everyone who is either not funny or not strong is wise and vice versa.
If someone is funny then someone is either not funny or not curious and vice versa.
If someone is both not creative and patient then susan is not quiet or not strong.
Everyone who... | Susan is wise. | neutral | (((old(susan)&calm(susan)))<=>(~brave(alice)))&
(![X]:((~funny(X)<~>~strong(X))<=>wise(X)))&
((?[X]:(funny(X)))<=>(?[X]:((~funny(X)<~>~curious(X)))))&
((?[X]:((~creative(X)&patient(X))))=>((~quiet(susan)|~strong(susan))))&
(![X]:(creative(X)=>(~patient(X)&~quiet(X))))&
((?[X]:(~rich(X)))<=>((~quiet(paul)|patient(paul))... | wise(susan) | [] | null | 0 |
Everyone who is both not patient and not brave is both rich and not happy.
Everyone who is not happy or humble is patient and vice versa.
If lucy is either old or tall then john is tall.
Everyone who is either not creative or brave is both not humble and old and vice versa.
Everyone who is either not creative or not fu... | Paul is funny. | entailment | (![X]:((~patient(X)&~brave(X))=>(rich(X)&~happy(X))))&
(![X]:((~happy(X)|humble(X))<=>patient(X)))&
(((old(lucy)<~>tall(lucy)))=>(tall(john)))&
(![X]:((~creative(X)<~>brave(X))<=>(~humble(X)&old(X))))&
(![X]:((~creative(X)<~>~funny(X))=>(kind(X)<~>patient(X))))&
(![X]:(~rich(X)=>(tall(X)<~>~strong(X))))&
((?[X]:((quiet... | funny(paul) | [
"p12",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8467011426485380989717262
% SZS output start Proof for 8467011426485380989717262
13. (funny(paul) | ~wise(paul)) <=> ? [X0] : old(X0) [input p12]
21. ~patient(alice) & old(alice) [input p20]
22. wise(paul) [input p21]
24. ~funny(paul) [input hypothesis]
56. ((funny(paul) | ~wise(paul)) | ... | 0 |
Everyone who is funny is rich or calm and vice versa.
If mary is both quiet and not tall then someone is kind and vice versa.
Everyone who is creative is not tall or not rich and vice versa.
If mary is quiet or funny then john is creative.
If fred is curious or not kind then someone is both not old and kind.
If someone... | Susan is strong. | neutral | (![X]:(funny(X)<=>(rich(X)|calm(X))))&
(((quiet(mary)&~tall(mary)))<=>(?[X]:(kind(X))))&
(![X]:(creative(X)<=>(~tall(X)|~rich(X))))&
(((quiet(mary)|funny(mary)))=>(creative(john)))&
(((curious(fred)|~kind(fred)))=>(?[X]:((~old(X)&kind(X)))))&
((?[X]:((calm(X)|generous(X))))<=>((rich(alice)<~>~brave(alice))))&
(![X]:((q... | strong(susan) | [] | null | 0 |
If someone is old or funny then mary is either not quiet or not wise and vice versa. Everyone who is either not strong or not tall is curious. If someone is not wise then someone is either not kind or quiet. Everyone who is both not patient and not humble is quiet. Everyone who is not kind is rich. Everyone who is eith... | Lucy is not tall. | contradiction | ((?[X]:((old(X)|funny(X))))<=>((~quiet(mary)<~>~wise(mary))))&
(![X]:((~strong(X)<~>~tall(X))=>curious(X)))&
((?[X]:(~wise(X)))=>(?[X]:((~kind(X)<~>quiet(X)))))&
(![X]:((~patient(X)&~humble(X))=>quiet(X)))&
(![X]:(~kind(X)=>rich(X)))&
(![X]:((~patient(X)<~>~strong(X))<=>(~wise(X)<~>~curious(X))))&
(((calm(paul)&~creati... | ~tall(lucy) | [
"p0",
"p3",
"p5",
"p8",
"p9",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 656296876125245543850210
% SZS output start Proof for 656296876125245543850210
1. ? [X0] : (funny(X0) | old(X0)) <=> (~quiet(mary) <~> ~wise(mary)) [input p0]
4. ! [X0] : ((~humble(X0) & ~patient(X0)) => quiet(X0)) [input p3]
6. ! [X0] : ((~patient(X0) <~> ~strong(X0)) <=> (~wise(X0) <~> ... | 0 |
If paul is both not generous and not curious then lucy is both not funny and not creative and vice versa.
If someone is curious or not tall then someone is both not quiet and not kind and vice versa.
If paul is not generous then fred is both not humble and old.
If alice is both not old and happy then mary is both gener... | Lucy is not generous. | neutral | (((~generous(paul)&~curious(paul)))<=>((~funny(lucy)&~creative(lucy))))&
((?[X]:((curious(X)|~tall(X))))<=>(?[X]:((~quiet(X)&~kind(X)))))&
((~generous(paul))=>((~humble(fred)&old(fred))))&
(((~old(alice)&happy(alice)))<=>((generous(mary)&~funny(mary))))&
(![X]:((~kind(X)<~>old(X))=>(~creative(X)|calm(X))))&
(![X]:((~ha... | ~generous(lucy) | [] | null | 0 |
If paul is patient then someone is either generous or not calm.
Everyone who is not happy is tall.
Everyone who is not old or funny is either not generous or happy.
If john is not creative or old then someone is both not rich and not strong.
If someone is wise or kind then someone is strong or not strong.
If susan is c... | Susan is not tall. | contradiction | ((patient(paul))=>(?[X]:((generous(X)<~>~calm(X)))))&
(![X]:(~happy(X)=>tall(X)))&
(![X]:((~old(X)|funny(X))=>(~generous(X)<~>happy(X))))&
(((~creative(john)|old(john)))=>(?[X]:((~rich(X)&~strong(X)))))&
((?[X]:((wise(X)|kind(X))))=>(?[X]:((strong(X)|~strong(X)))))&
((creative(susan))=>((kind(paul)&~strong(paul))))&
(!... | ~tall(susan) | [
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6162182259370467968244100
% SZS output start Proof for 6162182259370467968244100
2. ! [X0] : (~happy(X0) => tall(X0)) [input p1]
15. (~patient(mary) <~> patient(mary)) <=> ~happy(susan) [input p14]
25. ~tall(susan) [input hypothesis]
31. ! [X0] : (tall(X0) | happy(X0)) [ennf transformatio... | 0 |
Everyone who is not old is old or creative and vice versa.
If someone is not wise then mary is not brave.
Everyone who is either not funny or not curious is kind or brave and vice versa.
If john is not rich or not calm then someone is either not happy or not tall and vice versa.
If fred is both tall and happy then some... | John is not rich. | neutral | (![X]:(~old(X)<=>(old(X)|creative(X))))&
((?[X]:(~wise(X)))=>(~brave(mary)))&
(![X]:((~funny(X)<~>~curious(X))<=>(kind(X)|brave(X))))&
(((~rich(john)|~calm(john)))<=>(?[X]:((~happy(X)<~>~tall(X)))))&
(((tall(fred)&happy(fred)))=>(?[X]:((~happy(X)|strong(X)))))&
(![X]:((~curious(X)&kind(X))<=>(~funny(X)|~creative(X))))&... | ~rich(john) | [] | null | 0 |
If someone is humble or generous then alice is funny.
If someone is not funny then someone is rich or funny.
Everyone who is either generous or not calm is calm and vice versa.
Everyone who is calm is either not brave or brave and vice versa.
If paul is both not kind and not rich then someone is both calm and curious.
... | Susan is patient. | entailment | ((?[X]:((humble(X)|generous(X))))=>(funny(alice)))&
((?[X]:(~funny(X)))=>(?[X]:((rich(X)|funny(X)))))&
(![X]:((generous(X)<~>~calm(X))<=>calm(X)))&
(![X]:(calm(X)<=>(~brave(X)<~>brave(X))))&
(((~kind(paul)&~rich(paul)))=>(?[X]:((calm(X)&curious(X)))))&
(((~creative(paul)<~>~humble(paul)))<=>((~kind(mary)&brave(mary))))... | patient(susan) | [
"p2",
"p3",
"p6",
"p8",
"p9",
"p11",
"p12",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2672700579283957195610208
% SZS output start Proof for 2672700579283957195610208
3. ! [X0] : ((generous(X0) <~> ~calm(X0)) <=> calm(X0)) [input p2]
4. ! [X0] : (calm(X0) <=> (~brave(X0) <~> brave(X0))) [input p3]
7. ! [X0] : (wise(X0) => (tall(X0) & ~happy(X0))) [input p6]
9. ! [X0] : ((q... | 0 |
If someone is not curious or happy then mary is not funny or not quiet and vice versa. Everyone who is not quiet is creative or happy and vice versa. Everyone who is brave or not creative is not humble and vice versa. Everyone who is both patient and not happy is calm or not funny. Everyone who is brave is either quiet... | Alice is generous. | entailment | ((?[X]:((~curious(X)|happy(X))))<=>((~funny(mary)|~quiet(mary))))&
(![X]:(~quiet(X)<=>(creative(X)|happy(X))))&
(![X]:((brave(X)|~creative(X))<=>~humble(X)))&
(![X]:((patient(X)&~happy(X))=>(calm(X)|~funny(X))))&
(![X]:(brave(X)=>(quiet(X)<~>~kind(X))))&
(![X]:((~humble(X)|rich(X))=>(~generous(X)<~>~creative(X))))&
(((... | generous(alice) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4161860882668169308230398
% SZS output start Proof for 4161860882668169308230398
2. ! [X0] : (~quiet(X0) <=> (happy(X0) | creative(X0))) [input p1]
3. ! [X0] : ((~creative(X0) | brave(X0)) <=> ~humble(X0)) [input p2]
5. ! [X0] : (brave(X0) => (quiet(X0) <~> ~kind(X0))) [input p4]
6. ! [X0... | 0 |
Everyone who is both strong and creative is both not quiet and not creative.
Everyone who is both creative and calm is not calm and vice versa.
If paul is quiet or not old then someone is both tall and happy.
Everyone who is both not brave and generous is both patient and not brave.
If mary is either not brave or old t... | John is not tall. | entailment | (![X]:((strong(X)&creative(X))=>(~quiet(X)&~creative(X))))&
(![X]:((creative(X)&calm(X))<=>~calm(X)))&
(((quiet(paul)|~old(paul)))=>(?[X]:((tall(X)&happy(X)))))&
(![X]:((~brave(X)&generous(X))=>(patient(X)&~brave(X))))&
(((~brave(mary)<~>old(mary)))=>(?[X]:(old(X))))&
(![X]:((~creative(X)&~strong(X))<=>~patient(X)))&
(... | ~tall(john) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7778504026026680525931553
% SZS output start Proof for 7778504026026680525931553
2. ! [X0] : ((calm(X0) & creative(X0)) <=> ~calm(X0)) [input p1]
14. ! [X0] : ((~tall(X0) & ~creative(X0)) <=> (calm(X0) <~> creative(X0))) [input p13]
24. tall(john) [input hypothesis]
37. ! [X0] : (((calm(X... | 0 |
If paul is not old or rich then someone is either not creative or creative and vice versa. Everyone who is patient or not creative is not kind. Everyone who is both not wise and generous is both not happy and not patient and vice versa. If someone is both not curious and quiet then someone is both funny and calm. Every... | Lucy is generous. | entailment | (((~old(paul)|rich(paul)))<=>(?[X]:((~creative(X)<~>creative(X)))))&
(![X]:((patient(X)|~creative(X))=>~kind(X)))&
(![X]:((~wise(X)&generous(X))<=>(~happy(X)&~patient(X))))&
((?[X]:((~curious(X)&quiet(X))))=>(?[X]:((funny(X)&calm(X)))))&
(![X]:(quiet(X)<=>(~tall(X)<~>quiet(X))))&
((?[X]:((quiet(X)|~kind(X))))<=>((~crea... | generous(lucy) | [
"p2",
"p4",
"p6",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6664637415312648544212281
% SZS output start Proof for 6664637415312648544212281
3. ! [X0] : ((generous(X0) & ~wise(X0)) <=> (~patient(X0) & ~happy(X0))) [input p2]
5. ! [X0] : (quiet(X0) <=> (~tall(X0) <~> quiet(X0))) [input p4]
7. ! [X0] : ((creative(X0) <~> ~happy(X0)) <=> (~tall(X0) <... | 0 |
If lucy is both not kind and generous then someone is kind or funny. Everyone who is not generous or not rich is not wise and vice versa. Everyone who is not calm is not quiet or not creative and vice versa. Everyone who is either funny or not brave is not quiet. Everyone who is old is either wise or not kind and vice ... | Lucy is generous. | neutral | (((~kind(lucy)&generous(lucy)))=>(?[X]:((kind(X)|funny(X)))))&
(![X]:((~generous(X)|~rich(X))<=>~wise(X)))&
(![X]:(~calm(X)<=>(~quiet(X)|~creative(X))))&
(![X]:((funny(X)<~>~brave(X))=>~quiet(X)))&
(![X]:(old(X)<=>(wise(X)<~>~kind(X))))&
(![X]:((~creative(X)|calm(X))<=>(quiet(X)&~happy(X))))&
(![X]:((wise(X)<~>~generou... | generous(lucy) | [] | null | 0 |
If fred is both patient and curious then john is both tall and not old and vice versa. Everyone who is not tall or not strong is not brave and vice versa. If someone is not rich then someone is both wise and generous and vice versa. If fred is both not kind and calm then someone is both not strong and not funny. If som... | Paul is not curious. | neutral | (((patient(fred)&curious(fred)))<=>((tall(john)&~old(john))))&
(![X]:((~tall(X)|~strong(X))<=>~brave(X)))&
((?[X]:(~rich(X)))<=>(?[X]:((wise(X)&generous(X)))))&
(((~kind(fred)&calm(fred)))=>(?[X]:((~strong(X)&~funny(X)))))&
((?[X]:((~funny(X)|generous(X))))=>((curious(mary)&generous(mary))))&
((happy(paul))<=>(?[X]:((s... | ~curious(paul) | [] | null | 0 |
If someone is both kind and not humble then someone is old or rich. Everyone who is funny or creative is not tall or not brave. Everyone who is either not calm or rich is patient. Everyone who is both funny and not rich is not kind or not rich. If someone is not wise or funny then someone is humble and vice versa. Ever... | Paul is not strong. | entailment | ((?[X]:((kind(X)&~humble(X))))=>(?[X]:((old(X)|rich(X)))))&
(![X]:((funny(X)|creative(X))=>(~tall(X)|~brave(X))))&
(![X]:((~calm(X)<~>rich(X))=>patient(X)))&
(![X]:((funny(X)&~rich(X))=>(~kind(X)|~rich(X))))&
((?[X]:((~wise(X)|funny(X))))<=>(?[X]:(humble(X))))&
(![X]:(creative(X)=>(quiet(X)&~funny(X))))&
(![X]:(creativ... | ~strong(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5515390364262692718624951
% SZS output start Proof for 5515390364262692718624951
20. ~strong(paul) [input p19]
24. strong(paul) [input hypothesis]
115. ~strong(paul) [cnf transformation 20]
118. strong(paul) [cnf transformation 24]
182. 15 <=> strong(paul) [avatar definition]
215. ~15 [av... | 0 |
Everyone who is old or not strong is wise or not calm.
Everyone who is either not strong or happy is not quiet and vice versa.
Everyone who is humble is wise and vice versa.
If john is both not calm and not strong then susan is not curious.
Everyone who is both rich and creative is not wise.
Everyone who is not generou... | Fred is not strong. | contradiction | (![X]:((old(X)|~strong(X))=>(wise(X)|~calm(X))))&
(![X]:((~strong(X)<~>happy(X))<=>~quiet(X)))&
(![X]:(humble(X)<=>wise(X)))&
(((~calm(john)&~strong(john)))=>(~curious(susan)))&
(![X]:((rich(X)&creative(X))=>~wise(X)))&
(![X]:((~generous(X)|~kind(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((tall(X)|~strong(X))=>(~kind(X)|~s... | ~strong(fred) | [
"p5",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7602888188268024849852279
% SZS output start Proof for 7602888188268024849852279
6. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> (wise(X0) <~> ~strong(X0))) [input p5]
12. ! [X0] : ((creative(X0) | ~wise(X0)) => (strong(X0) & ~calm(X0))) [input p11]
14. ! [X0] : ((generous(X0) & ~kind(X0)) <... | 0 |
Everyone who is both strong and happy is either rich or not kind and vice versa.
If fred is not humble then someone is not rich or rich.
If alice is both not rich and generous then someone is either wise or quiet.
Everyone who is both happy and humble is not old or not humble and vice versa.
Everyone who is not calm is... | Alice is not calm. | entailment | (![X]:((strong(X)&happy(X))<=>(rich(X)<~>~kind(X))))&
((~humble(fred))=>(?[X]:((~rich(X)|rich(X)))))&
(((~rich(alice)&generous(alice)))=>(?[X]:((wise(X)<~>quiet(X)))))&
(![X]:((happy(X)&humble(X))<=>(~old(X)|~humble(X))))&
(![X]:(~calm(X)=>(~tall(X)|wise(X))))&
(![X]:((~patient(X)|~kind(X))=>(~happy(X)&funny(X))))&
(![... | ~calm(alice) | [
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6755063962523733045596780
% SZS output start Proof for 6755063962523733045596780
6. ! [X0] : ((~kind(X0) | ~patient(X0)) => (funny(X0) & ~happy(X0))) [input p5]
13. ! [X0] : ((patient(X0) | happy(X0)) <=> (~generous(X0) | ~creative(X0))) [input p12]
14. ! [X0] : ((patient(X0) | generous(X... | 0 |
Everyone who is humble is not brave or happy and vice versa.
Everyone who is not strong is either calm or kind.
If alice is not curious or rich then someone is either generous or not brave and vice versa.
If someone is both not brave and not funny then someone is not kind and vice versa.
Everyone who is not wise or bra... | Lucy is not brave. | contradiction | (![X]:(humble(X)<=>(~brave(X)|happy(X))))&
(![X]:(~strong(X)=>(calm(X)<~>kind(X))))&
(((~curious(alice)|rich(alice)))<=>(?[X]:((generous(X)<~>~brave(X)))))&
((?[X]:((~brave(X)&~funny(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~wise(X)|brave(X))=>(quiet(X)|~funny(X))))&
(![X]:((~curious(X)&brave(X))<=>(~patient(X)|~calm(X))))&... | ~brave(lucy) | [
"p4",
"p5",
"p8",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 30568549384917862959837
% SZS output start Proof for 30568549384917862959837
5. ! [X0] : ((brave(X0) | ~wise(X0)) => (~funny(X0) | quiet(X0))) [input p4]
6. ! [X0] : ((brave(X0) & ~curious(X0)) <=> (~calm(X0) | ~patient(X0))) [input p5]
9. ! [X0] : ((calm(X0) | strong(X0)) => (funny(X0) &... | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If alice is either patient or not happy then someone is not strong.
Everyone who is both humble and happy is both rich and not old.
If someone is not brave or not patient then fred is old and vice versa.
If lucy is not creative then fred is not wise and... | Mary is not wise. | contradiction | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((patient(alice)<~>~happy(alice)))=>(?[X]:(~strong(X))))&
(![X]:((humble(X)&happy(X))=>(rich(X)&~old(X))))&
((?[X]:((~brave(X)|~patient(X))))<=>(old(fred)))&
((~creative(lucy))<=>(~wise(fred)))&
(![X]:((brave(X)|~tall(X))<=>(calm(X)|~rich(X))))&
(![X]:((rich(X)&~patient(X))=>... | ~wise(mary) | [
"p0",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3632648459113096260809628
% SZS output start Proof for 3632648459113096260809628
1. ! [X0] : ((kind(X0) & ~curious(X0)) <=> happy(X0)) [input p0]
10. ! [X0] : ((~kind(X0) | ~wise(X0)) => happy(X0)) [input p9]
12. ! [X0] : ((generous(X0) | ~curious(X0)) <=> curious(X0)) [input p11]
22. ~wi... | 0 |
Everyone who is either strong or wise is either not generous or not creative and vice versa.
If alice is both kind and old then someone is not calm.
Everyone who is patient or not happy is not brave and vice versa.
Everyone who is both humble and not wise is both wise and humble and vice versa.
Everyone who is quiet or... | John is not calm. | entailment | (![X]:((strong(X)<~>wise(X))<=>(~generous(X)<~>~creative(X))))&
(((kind(alice)&old(alice)))=>(?[X]:(~calm(X))))&
(![X]:((patient(X)|~happy(X))<=>~brave(X)))&
(![X]:((humble(X)&~wise(X))<=>(wise(X)&humble(X))))&
(![X]:((quiet(X)|creative(X))=>(funny(X)&humble(X))))&
(((~humble(susan)|old(susan)))<=>(?[X]:(~quiet(X))))&
... | ~calm(john) | [
"p3",
"p4",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2362720307333942582993654
% SZS output start Proof for 2362720307333942582993654
4. ! [X0] : ((~wise(X0) & humble(X0)) <=> (humble(X0) & wise(X0))) [input p3]
5. ! [X0] : ((creative(X0) | quiet(X0)) => (humble(X0) & funny(X0))) [input p4]
14. ? [X0] : (~funny(X0) | ~tall(X0)) => ? [X0] : ... | 0 |
Everyone who is both not calm and funny is not tall. If someone is both not calm and patient then alice is both funny and brave and vice versa. Everyone who is brave is both not brave and generous and vice versa. If lucy is not rich then susan is calm and vice versa. Everyone who is kind or quiet is either quiet or not... | Lucy is wise. | contradiction | (![X]:((~calm(X)&funny(X))=>~tall(X)))&
((?[X]:((~calm(X)&patient(X))))<=>((funny(alice)&brave(alice))))&
(![X]:(brave(X)<=>(~brave(X)&generous(X))))&
((~rich(lucy))<=>(calm(susan)))&
(![X]:((kind(X)|quiet(X))=>(quiet(X)<~>~humble(X))))&
((?[X]:((~generous(X)<~>~wise(X))))<=>((~brave(paul)<~>~calm(paul))))&
(![X]:((~pa... | wise(lucy) | [
"p1",
"p2",
"p3",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4903379764309783855680212
% SZS output start Proof for 4903379764309783855680212
2. ? [X0] : (patient(X0) & ~calm(X0)) <=> (brave(alice) & funny(alice)) [input p1]
3. ! [X0] : (brave(X0) <=> (generous(X0) & ~brave(X0))) [input p2]
4. ~rich(lucy) <=> calm(susan) [input p3]
17. patient(susa... | 0 |
Everyone who is patient is generous and vice versa.
If someone is not quiet then someone is either not creative or brave and vice versa.
Everyone who is calm is either kind or humble and vice versa.
Everyone who is not humble is either not strong or patient and vice versa.
Everyone who is patient is humble and vice ver... | Lucy is wise. | neutral | (![X]:(patient(X)<=>generous(X)))&
((?[X]:(~quiet(X)))<=>(?[X]:((~creative(X)<~>brave(X)))))&
(![X]:(calm(X)<=>(kind(X)<~>humble(X))))&
(![X]:(~humble(X)<=>(~strong(X)<~>patient(X))))&
(![X]:(patient(X)<=>humble(X)))&
(((tall(alice)&~tall(alice)))=>((creative(lucy)&~wise(lucy))))&
((?[X]:((kind(X)&patient(X))))=>(~happ... | wise(lucy) | [] | null | 0 |
Everyone who is not strong or not humble is creative or not humble and vice versa.
If someone is not calm or not brave then someone is kind or humble and vice versa.
Everyone who is not funny is either not quiet or old and vice versa.
If someone is humble then mary is both brave and happy.
If susan is either not funny ... | John is not curious. | contradiction | (![X]:((~strong(X)|~humble(X))<=>(creative(X)|~humble(X))))&
((?[X]:((~calm(X)|~brave(X))))<=>(?[X]:((kind(X)|humble(X)))))&
(![X]:(~funny(X)<=>(~quiet(X)<~>old(X))))&
((?[X]:(humble(X)))=>((brave(mary)&happy(mary))))&
(((~funny(susan)<~>quiet(susan)))=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((~old(X)|curious(X))))<... | ~curious(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3126814372735037916308805
% SZS output start Proof for 3126814372735037916308805
11. ! [X0] : ((tall(X0) & curious(X0)) <=> (quiet(X0) <~> ~quiet(X0))) [input p10]
25. ~curious(john) [input hypothesis]
62. ! [X0] : (((tall(X0) & curious(X0)) | ((quiet(X0) | quiet(X0)) & (~quiet(X0) | ~qui... | 0 |
If someone is wise or not happy then someone is rich or not strong. Everyone who is both brave and not calm is both not creative and not funny. If someone is generous or not curious then alice is rich and vice versa. Everyone who is creative or brave is funny or tall and vice versa. If mary is both calm and creative th... | Susan is creative. | entailment | ((?[X]:((wise(X)|~happy(X))))=>(?[X]:((rich(X)|~strong(X)))))&
(![X]:((brave(X)&~calm(X))=>(~creative(X)&~funny(X))))&
((?[X]:((generous(X)|~curious(X))))<=>(rich(alice)))&
(![X]:((creative(X)|brave(X))<=>(funny(X)|tall(X))))&
(((calm(mary)&creative(mary)))=>(?[X]:(~happy(X))))&
((tall(lucy))<=>((~curious(fred)|tall(fr... | creative(susan) | [
"p1",
"p3",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1722583275080101235141750
% SZS output start Proof for 1722583275080101235141750
2. ! [X0] : ((~calm(X0) & brave(X0)) => (~funny(X0) & ~creative(X0))) [input p1]
4. ! [X0] : ((brave(X0) | creative(X0)) <=> (tall(X0) | funny(X0))) [input p3]
23. funny(susan) & ~calm(susan) [input p22]
25. ... | 0 |
If lucy is both wise and not curious then mary is either brave or not tall and vice versa. Everyone who is both happy and kind is both not rich and not curious and vice versa. Everyone who is either not funny or not wise is either not old or strong and vice versa. If someone is both not creative and kind then susan is ... | Susan is quiet. | contradiction | (((wise(lucy)&~curious(lucy)))<=>((brave(mary)<~>~tall(mary))))&
(![X]:((happy(X)&kind(X))<=>(~rich(X)&~curious(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>(~old(X)<~>strong(X))))&
((?[X]:((~creative(X)&kind(X))))=>(~rich(susan)))&
(![X]:((~funny(X)&~calm(X))<=>(wise(X)&~happy(X))))&
((~calm(susan))=>(~patient(lucy)))&
(![X... | quiet(susan) | [
"p7",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7195593479598927259338367
% SZS output start Proof for 7195593479598927259338367
8. ! [X0] : ((~humble(X0) | ~funny(X0)) => (quiet(X0) <~> calm(X0))) [input p7]
9. ! [X0] : (brave(X0) <=> (calm(X0) | ~brave(X0))) [input p8]
22. ~funny(susan) & calm(susan) [input p21]
24. quiet(susan) [inp... | 0 |
Everyone who is either not quiet or not happy is both strong and not quiet.
If susan is both not calm and not brave then susan is either wise or old.
Everyone who is brave or not curious is both brave and not curious and vice versa.
Everyone who is both not old and tall is either not rich or not funny and vice versa.
I... | John is not happy. | entailment | (![X]:((~quiet(X)<~>~happy(X))=>(strong(X)&~quiet(X))))&
(((~calm(susan)&~brave(susan)))=>((wise(susan)<~>old(susan))))&
(![X]:((brave(X)|~curious(X))<=>(brave(X)&~curious(X))))&
(![X]:((~old(X)&tall(X))<=>(~rich(X)<~>~funny(X))))&
(((generous(fred)<~>~generous(fred)))=>(?[X]:((tall(X)|~brave(X)))))&
(![X]:((~strong(X)... | ~happy(john) | [
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2135770716239912890790786
% SZS output start Proof for 2135770716239912890790786
10. ! [X0] : ((~strong(X0) | happy(X0)) => (funny(X0) & quiet(X0))) [input p9]
19. ~curious(john) & ~quiet(john) [input p18]
25. happy(john) [input hypothesis]
34. ! [X0] : ((funny(X0) & quiet(X0)) | (strong(... | 0 |
Everyone who is humble or strong is not quiet and vice versa.
Everyone who is both funny and not funny is not rich or not generous and vice versa.
If fred is strong then alice is not patient and vice versa.
If paul is both brave and not curious then john is brave and vice versa.
If mary is either not curious or patient... | Fred is rich. | entailment | (![X]:((humble(X)|strong(X))<=>~quiet(X)))&
(![X]:((funny(X)&~funny(X))<=>(~rich(X)|~generous(X))))&
((strong(fred))<=>(~patient(alice)))&
(((brave(paul)&~curious(paul)))<=>(brave(john)))&
(((~curious(mary)<~>patient(mary)))<=>(?[X]:((~quiet(X)&~old(X)))))&
(![X]:(~happy(X)=>(kind(X)|~funny(X))))&
(((patient(mary)<~>~p... | rich(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4919954006355585405536388
% SZS output start Proof for 4919954006355585405536388
2. ! [X0] : ((~funny(X0) & funny(X0)) <=> (~generous(X0) | ~rich(X0))) [input p1]
24. ~rich(fred) [input hypothesis]
38. ! [X0] : (((~funny(X0) & funny(X0)) | (generous(X0) & rich(X0))) & ((~generous(X0) | ~r... | 0 |
Everyone who is either not calm or quiet is rich and vice versa.
Everyone who is not brave or not strong is either not funny or strong and vice versa.
Everyone who is either not rich or not curious is not patient or patient and vice versa.
If mary is both tall and not happy then someone is either not patient or strong ... | Lucy is happy. | entailment | (![X]:((~calm(X)<~>quiet(X))<=>rich(X)))&
(![X]:((~brave(X)|~strong(X))<=>(~funny(X)<~>strong(X))))&
(![X]:((~rich(X)<~>~curious(X))<=>(~patient(X)|patient(X))))&
(((tall(mary)&~happy(mary)))<=>(?[X]:((~patient(X)<~>strong(X)))))&
(![X]:(humble(X)=>(~creative(X)|~funny(X))))&
(((~funny(lucy)&~tall(lucy)))=>(?[X]:((brav... | happy(lucy) | [
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2555548405087325614165080
% SZS output start Proof for 2555548405087325614165080
13. ? [X0] : (wise(X0) | ~tall(X0)) => happy(lucy) [input p12]
17. wise(john) | ~tall(john) [input p16]
25. ~happy(lucy) [input hypothesis]
35. happy(lucy) | ! [X0] : (~wise(X0) & tall(X0)) [ennf transformati... | 0 |
Everyone who is both wise and curious is calm and vice versa.
If susan is happy or not old then alice is both not curious and not quiet.
If someone is both humble and not humble then mary is either not wise or humble and vice versa.
If mary is not quiet or not funny then someone is funny.
If fred is not wise or not gen... | Fred is patient. | neutral | (![X]:((wise(X)&curious(X))<=>calm(X)))&
(((happy(susan)|~old(susan)))=>((~curious(alice)&~quiet(alice))))&
((?[X]:((humble(X)&~humble(X))))<=>((~wise(mary)<~>humble(mary))))&
(((~quiet(mary)|~funny(mary)))=>(?[X]:(funny(X))))&
(((~wise(fred)|~generous(fred)))=>((strong(mary)<~>~brave(mary))))&
((?[X]:((~calm(X)&~stron... | patient(fred) | [] | null | 0 |
If mary is happy or funny then someone is brave and vice versa. Everyone who is curious or strong is not funny. If someone is both tall and humble then someone is not rich or wise. If susan is calm then someone is both not calm and curious and vice versa. Everyone who is generous is kind or not generous and vice versa.... | Susan is rich. | contradiction | (((happy(mary)|funny(mary)))<=>(?[X]:(brave(X))))&
(![X]:((curious(X)|strong(X))=>~funny(X)))&
((?[X]:((tall(X)&humble(X))))=>(?[X]:((~rich(X)|wise(X)))))&
((calm(susan))<=>(?[X]:((~calm(X)&curious(X)))))&
(![X]:(generous(X)<=>(kind(X)|~generous(X))))&
(![X]:((~rich(X)<~>~tall(X))=>~rich(X)))&
(((~funny(alice)&~quiet(a... | rich(susan) | [
"p1",
"p3",
"p4",
"p5",
"p7",
"p8",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 209311467121402655767515
% SZS output start Proof for 209311467121402655767515
2. ! [X0] : ((strong(X0) | curious(X0)) => ~funny(X0)) [input p1]
4. calm(susan) <=> ? [X0] : (curious(X0) & ~calm(X0)) [input p3]
5. ! [X0] : (generous(X0) <=> (~generous(X0) | kind(X0))) [input p4]
6. ! [X0] ... | 0 |
Everyone who is both not happy and not creative is not tall or funny. Everyone who is both not generous and not rich is not strong and vice versa. Everyone who is brave is both humble and not curious. If alice is either not quiet or quiet then lucy is either not creative or humble. If someone is brave then someone is e... | John is not humble. | neutral | (![X]:((~happy(X)&~creative(X))=>(~tall(X)|funny(X))))&
(![X]:((~generous(X)&~rich(X))<=>~strong(X)))&
(![X]:(brave(X)=>(humble(X)&~curious(X))))&
(((~quiet(alice)<~>quiet(alice)))=>((~creative(lucy)<~>humble(lucy))))&
((?[X]:(brave(X)))<=>(?[X]:((wise(X)<~>~rich(X)))))&
((?[X]:((calm(X)&~wise(X))))=>(?[X]:((generous(X... | ~humble(john) | [] | null | 0 |
If susan is both not wise and funny then someone is not tall or not curious and vice versa. Everyone who is both happy and not humble is both not kind and humble and vice versa. If someone is either generous or creative then alice is brave or rich. Everyone who is old is creative or kind and vice versa. If someone is n... | John is kind. | entailment | (((~wise(susan)&funny(susan)))<=>(?[X]:((~tall(X)|~curious(X)))))&
(![X]:((happy(X)&~humble(X))<=>(~kind(X)&humble(X))))&
((?[X]:((generous(X)<~>creative(X))))=>((brave(alice)|rich(alice))))&
(![X]:(old(X)<=>(creative(X)|kind(X))))&
((?[X]:((~curious(X)|wise(X))))=>(?[X]:(old(X))))&
(![X]:(~brave(X)=>(~curious(X)|stron... | kind(john) | [
"p1",
"p3",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8582527123883105958597817
% SZS output start Proof for 8582527123883105958597817
2. ! [X0] : ((~humble(X0) & happy(X0)) <=> (humble(X0) & ~kind(X0))) [input p1]
4. ! [X0] : (old(X0) <=> (kind(X0) | creative(X0))) [input p3]
7. ? [X0] : calm(X0) <=> ? [X0] : (~old(X0) & humble(X0)) [input ... | 0 |
Everyone who is both kind and not kind is creative and vice versa.
Everyone who is either kind or not creative is creative or not creative and vice versa.
If mary is brave then mary is not calm or curious and vice versa.
Everyone who is not happy is not patient or not creative and vice versa.
Everyone who is not old or... | John is old. | entailment | (![X]:((kind(X)&~kind(X))<=>creative(X)))&
(![X]:((kind(X)<~>~creative(X))<=>(creative(X)|~creative(X))))&
((brave(mary))<=>((~calm(mary)|curious(mary))))&
(![X]:(~happy(X)<=>(~patient(X)|~creative(X))))&
(![X]:((~old(X)|funny(X))<=>(~humble(X)<~>strong(X))))&
((?[X]:(~wise(X)))=>((~funny(john)<~>~wise(john))))&
(![X]:... | old(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4959628680921291404390080
% SZS output start Proof for 4959628680921291404390080
7. ! [X0] : ((funny(X0) & ~funny(X0)) <=> ~old(X0)) [input p6]
24. ~old(john) [input hypothesis]
47. ! [X0] : (((funny(X0) & ~funny(X0)) | old(X0)) & (~old(X0) | (~funny(X0) | funny(X0)))) [nnf transformation... | 0 |
Everyone who is either not calm or humble is either not strong or quiet. Everyone who is either not quiet or not curious is tall and vice versa. If someone is either patient or humble then fred is humble or not tall. Everyone who is either old or not creative is brave. Everyone who is either not humble or quiet is not ... | Lucy is not curious. | entailment | (![X]:((~calm(X)<~>humble(X))=>(~strong(X)<~>quiet(X))))&
(![X]:((~quiet(X)<~>~curious(X))<=>tall(X)))&
((?[X]:((patient(X)<~>humble(X))))=>((humble(fred)|~tall(fred))))&
(![X]:((old(X)<~>~creative(X))=>brave(X)))&
(![X]:((~humble(X)<~>quiet(X))=>(~rich(X)|curious(X))))&
((?[X]:((~happy(X)&creative(X))))<=>((~funny(mar... | ~curious(lucy) | [
"p1",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 154214072463157871234980
% SZS output start Proof for 154214072463157871234980
2. ! [X0] : ((~quiet(X0) <~> ~curious(X0)) <=> tall(X0)) [input p1]
11. ! [X0] : (quiet(X0) => (tall(X0) & ~generous(X0))) [input p10]
16. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (~tall(X0) & ~patient(X0))) [... | 0 |
If susan is not tall or not rich then susan is not quiet. If someone is not kind or not curious then susan is calm or quiet. Everyone who is either not brave or old is funny or brave and vice versa. Everyone who is wise or tall is both not strong and creative. If alice is either not funny or kind then alice is curious.... | John is not rich. | entailment | (((~tall(susan)|~rich(susan)))=>(~quiet(susan)))&
((?[X]:((~kind(X)|~curious(X))))=>((calm(susan)|quiet(susan))))&
(![X]:((~brave(X)<~>old(X))<=>(funny(X)|brave(X))))&
(![X]:((wise(X)|tall(X))=>(~strong(X)&creative(X))))&
(((~funny(alice)<~>kind(alice)))=>(curious(alice)))&
(![X]:((kind(X)&brave(X))=>(~calm(X)&funny(X)... | ~rich(john) | [
"p3",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4004055117678574224287262
% SZS output start Proof for 4004055117678574224287262
4. ! [X0] : ((tall(X0) | wise(X0)) => (creative(X0) & ~strong(X0))) [input p3]
10. ! [X0] : (~rich(X0) <=> wise(X0)) [input p9]
13. ! [X0] : ((~wise(X0) | ~kind(X0)) => (creative(X0) & ~creative(X0))) [input ... | 0 |
Everyone who is both not quiet and not generous is either patient or rich and vice versa. Everyone who is generous or not funny is either calm or not brave. Everyone who is either brave or rich is not calm. Everyone who is not wise or brave is both happy and rich. If mary is funny then susan is both brave and not rich.... | Susan is creative. | contradiction | (![X]:((~quiet(X)&~generous(X))<=>(patient(X)<~>rich(X))))&
(![X]:((generous(X)|~funny(X))=>(calm(X)<~>~brave(X))))&
(![X]:((brave(X)<~>rich(X))=>~calm(X)))&
(![X]:((~wise(X)|brave(X))=>(happy(X)&rich(X))))&
((funny(mary))=>((brave(susan)&~rich(susan))))&
(![X]:((~curious(X)<~>old(X))=>(rich(X)&~old(X))))&
(((~happy(al... | creative(susan) | [
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6047485618213470709570630
% SZS output start Proof for 6047485618213470709570630
12. ! [X0] : ((~funny(X0) | funny(X0)) <=> (~humble(X0) & patient(X0))) [input p11]
19. ~creative(susan) <~> ~patient(susan) [input p18]
23. creative(susan) [input hypothesis]
45. ! [X0] : (((~funny(X0) | fun... | 0 |
Everyone who is both not funny and not kind is either quiet or happy and vice versa.
Everyone who is either patient or not calm is not kind or not curious and vice versa.
If alice is not calm or old then someone is either funny or not tall and vice versa.
If someone is calm or humble then someone is both funny and happ... | Mary is funny. | neutral | (![X]:((~funny(X)&~kind(X))<=>(quiet(X)<~>happy(X))))&
(![X]:((patient(X)<~>~calm(X))<=>(~kind(X)|~curious(X))))&
(((~calm(alice)|old(alice)))<=>(?[X]:((funny(X)<~>~tall(X)))))&
((?[X]:((calm(X)|humble(X))))=>(?[X]:((funny(X)&happy(X)))))&
(![X]:(~generous(X)<=>(brave(X)&~kind(X))))&
(((rich(lucy)|humble(lucy)))=>(?[X]... | funny(mary) | [] | null | 0 |
Everyone who is calm is not curious and vice versa.
Everyone who is not old or not kind is not generous and vice versa.
If fred is strong or not curious then someone is not wise.
If someone is not funny or calm then fred is both not generous and not brave and vice versa.
If someone is not wise or kind then someone is s... | Fred is not generous. | entailment | (![X]:(calm(X)<=>~curious(X)))&
(![X]:((~old(X)|~kind(X))<=>~generous(X)))&
(((strong(fred)|~curious(fred)))=>(?[X]:(~wise(X))))&
((?[X]:((~funny(X)|calm(X))))<=>((~generous(fred)&~brave(fred))))&
((?[X]:((~wise(X)|kind(X))))=>(?[X]:(strong(X))))&
(((happy(alice)|~tall(alice)))=>((wise(fred)<~>patient(fred))))&
(![X]:(... | ~generous(fred) | [
"p0",
"p1",
"p3",
"p4",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2787227621752843663579066
% SZS output start Proof for 2787227621752843663579066
1. ! [X0] : (calm(X0) <=> ~curious(X0)) [input p0]
2. ! [X0] : ((~kind(X0) | ~old(X0)) <=> ~generous(X0)) [input p1]
4. ? [X0] : (calm(X0) | ~funny(X0)) <=> (~brave(fred) & ~generous(fred)) [input p3]
5. ? [X... | 0 |
If someone is not calm or tall then someone is both not curious and old and vice versa. Everyone who is either tall or brave is both not creative and not curious and vice versa. Everyone who is both not curious and patient is patient or not humble. Everyone who is both not generous and old is generous or brave and vice... | Alice is not old. | entailment | ((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~curious(X)&old(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(~creative(X)&~curious(X))))&
(![X]:((~curious(X)&patient(X))=>(patient(X)|~humble(X))))&
(![X]:((~generous(X)&old(X))<=>(generous(X)|brave(X))))&
(![X]:(~tall(X)<=>funny(X)))&
(![X]:((~patient(X)&tall(X))<=>~creative(X)))&
(((... | ~old(alice) | [
"p0",
"p1",
"p3",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3754625456303863369285878
% SZS output start Proof for 3754625456303863369285878
1. ? [X0] : (tall(X0) | ~calm(X0)) <=> ? [X0] : (old(X0) & ~curious(X0)) [input p0]
2. ! [X0] : ((tall(X0) <~> brave(X0)) <=> (~curious(X0) & ~creative(X0))) [input p1]
4. ! [X0] : ((old(X0) & ~generous(X0)) ... | 0 |
Everyone who is either rich or funny is either not happy or not funny and vice versa.
Everyone who is either not happy or quiet is not kind or curious.
Everyone who is both not calm and not funny is rich or not old and vice versa.
If john is either not tall or not calm then someone is humble or funny and vice versa.
If... | Lucy is not curious. | neutral | (![X]:((rich(X)<~>funny(X))<=>(~happy(X)<~>~funny(X))))&
(![X]:((~happy(X)<~>quiet(X))=>(~kind(X)|curious(X))))&
(![X]:((~calm(X)&~funny(X))<=>(rich(X)|~old(X))))&
(((~tall(john)<~>~calm(john)))<=>(?[X]:((humble(X)|funny(X)))))&
(((curious(mary)|creative(mary)))<=>(?[X]:(humble(X))))&
(![X]:((~generous(X)&~creative(X))... | ~curious(lucy) | [] | null | 0 |
Everyone who is not quiet is not calm and vice versa.
Everyone who is both happy and creative is not calm or kind.
Everyone who is humble is tall.
If john is not generous then someone is happy and vice versa.
If susan is both not quiet and generous then someone is both not quiet and not humble.
Everyone who is not gene... | Paul is not patient. | contradiction | (![X]:(~quiet(X)<=>~calm(X)))&
(![X]:((happy(X)&creative(X))=>(~calm(X)|kind(X))))&
(![X]:(humble(X)=>tall(X)))&
((~generous(john))<=>(?[X]:(happy(X))))&
(((~quiet(susan)&generous(susan)))=>(?[X]:((~quiet(X)&~humble(X)))))&
(![X]:(~generous(X)<=>(~creative(X)|wise(X))))&
((?[X]:((generous(X)|~brave(X))))=>(~rich(lucy))... | ~patient(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7494095679721350687947630
% SZS output start Proof for 7494095679721350687947630
12. ! [X0] : (humble(X0) <=> (~humble(X0) & ~patient(X0))) [input p11]
25. ~patient(paul) [input hypothesis]
59. ! [X0] : ((humble(X0) | (humble(X0) | patient(X0))) & ((~humble(X0) & ~patient(X0)) | ~humble(X... | 0 |
Everyone who is either not patient or quiet is not kind or not patient and vice versa.
If someone is not quiet then john is both quiet and curious and vice versa.
If someone is either quiet or not strong then mary is either wise or rich.
If fred is not brave then alice is either quiet or not curious.
Everyone who is ei... | Alice is brave. | entailment | (![X]:((~patient(X)<~>quiet(X))<=>(~kind(X)|~patient(X))))&
((?[X]:(~quiet(X)))<=>((quiet(john)&curious(john))))&
((?[X]:((quiet(X)<~>~strong(X))))=>((wise(mary)<~>rich(mary))))&
((~brave(fred))=>((quiet(alice)<~>~curious(alice))))&
(![X]:((~creative(X)<~>~happy(X))=>(happy(X)<~>~calm(X))))&
((~creative(lucy))=>(~happy... | brave(alice) | [
"p1",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7930093645538908689660045
% SZS output start Proof for 7930093645538908689660045
2. ? [X0] : ~quiet(X0) <=> (curious(john) & quiet(john)) [input p1]
7. ! [X0] : ((happy(X0) | ~strong(X0)) <=> ~happy(X0)) [input p6]
9. ! [X0] : (~happy(X0) <=> (~happy(X0) & ~curious(X0))) [input p8]
12. ! ... | 0 |
If someone is both curious and not strong then susan is not brave and vice versa. If john is either tall or humble then someone is kind or humble and vice versa. Everyone who is both calm and not creative is either tall or not humble and vice versa. Everyone who is funny is brave. If lucy is both wise and not kind then... | John is creative. | entailment | ((?[X]:((curious(X)&~strong(X))))<=>(~brave(susan)))&
(((tall(john)<~>humble(john)))<=>(?[X]:((kind(X)|humble(X)))))&
(![X]:((calm(X)&~creative(X))<=>(tall(X)<~>~humble(X))))&
(![X]:(funny(X)=>brave(X)))&
(((wise(lucy)&~kind(lucy)))=>(?[X]:((~calm(X)<~>calm(X)))))&
(![X]:((~happy(X)<~>~curious(X))<=>quiet(X)))&
(![X]:(... | creative(john) | [
"p1",
"p2",
"p8",
"p10",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8934530685276585092735242
% SZS output start Proof for 8934530685276585092735242
2. (tall(john) <~> humble(john)) <=> ? [X0] : (humble(X0) | kind(X0)) [input p1]
3. ! [X0] : ((~creative(X0) & calm(X0)) <=> (tall(X0) <~> ~humble(X0))) [input p2]
9. ! [X0] : ((~brave(X0) <~> ~old(X0)) <=> (... | 0 |
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